10 POINTS!!! will give Brainliest
Find the volume of the prism. Round to the nearest tenth if necessary.

10 POINTS!!! Will Give BrainliestFind The Volume Of The Prism. Round To The Nearest Tenth If Necessary.

Answers

Answer 1

Answer:

The volume of the prism will be given by 204.7 cubic cm.

Step-by-step explanation:

The area of a triangle whose three side lengths are given is equal to

Δ = [tex]\sqrt{s(s - a)(s - b)(s - c))}[/tex] .......... (1)

Where, a, b, and c are the three side lengths and s is the half perimeter i.e.

[tex]s = \frac{a + b + c}{2}[/tex] ......... (2)

Now, in our case, [tex]s = \frac{6 + 7 + 6}{2} = 9.5[/tex] {From equation (2)}

So, Δ = [tex]\sqrt{9.5(9.5 - 6)(9.5 - 7)(9.5 - 6)} = 17.05[/tex] sq. cm.

{From equation (1)}

Hence, the volume of the prism will be given by (17.05 × 12) = 204.7 cubic cm. (Answer)


Related Questions

4 friends evenly divided up a n-slice pizza. One of the friends,Harris, ate 1 fewer slice than he received. How many slices of pizza did Harrison eat? Write your answer as an expression

Answers

Answer:

Step-by-step explanation:

(n/4)-1

Divide total slices by 4 friends then subtract 1 to get Harrison’s amount

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for
every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to
memorize, as a function of d, the number of days of practice since she began learning the piece?
Om = 72 - 150
Om= 90 - 60
Om = 101 - 210
Om= 108 - 3d
What is d?

Answers

m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to  memorize, as a function of d, the number of days of practice since she began learning the piece

Solution:

Given that Harita must memorize 90 measures of music for her cello solo at a concert

To find: equation to determine m, the number of measures Harita still needs to  memorize, as a function of d, the number of days of practice since she began learning the piece

Let "m" be the number of measures Harita still needs to  memorize

Let "d" be the number of days of practice since she began learning the piece

Given that She plans on memorizing 18 new measures for  every 3 days of practice

Rate per day is given as:

[tex]\frac{18}{3} = 6[/tex]

Therefore she memorises 6 per day

Therefore, the equation that relates 'm' to 'd' is:

m = total measures of music she must memorise - (number of measures she memorises per day x d)

m = 90 - 6(d)

m = 90 - 6d

Thus the required equation is found

Answer:

m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to  memorize, as a function of d, the number of days of practice since she began learning the piece

Step-by-step explanation:

Ribbon a is 1/3. M long. It is 2/5 M shorter than ribbon B. How long is Ribbon B?

Answers

Ribbon B is [tex]\frac{11}{15}[/tex] meters long

Solution:

Given that,

Ribbon A is 1/3 meter long. It is 2/5 meter shorter than ribbon B

To find: length of Ribbon B

From given information in question,

Length of Ribbon A = [tex]\frac{1}{3} \text{ meter }[/tex]

Length of Ribbon A is 2/5 meter shorter than ribbon B

Therefore we can say,

Length of Ribbon A = length of ribbon B - [tex]\frac{2}{5}[/tex]

[tex]\frac{1}{3} = \text{ length of ribbon B } -\frac{2}{5}\\\\\text{length of ribbon B } = \frac{1}{3} + \frac{2}{5}\\\\\text{length of ribbon B } = \frac{ 5 + 6}{15} = \frac{11}{15}[/tex]

Therefore ribbon B is [tex]\frac{11}{15}[/tex] meters long

Amanda decided to save the money that she earned babysitting to buy school clothes. Amanda wants to buy two pairs of jeans that cost $32 each, three shirts that cost $18 each, and a jacket that costs $54. How much money does Amanda need to buy all of the clothes that she wants?

Answers

Answer:

Step-by-step explanation:

Two pairs of jeans cost $32 dollars so multiply 32 x 2 and get $64.

Three shirts cost $18, multiply 18 x 3 to get $54.

One jacket costs $54 so just do 1 x 54 and you will get $54.

54 + 54 + 64 = $172.

I hope this helped!

Final answer:

Amanda needs $172 to buy all the clothes she wants.

Explanation:

To calculate the total cost of the clothes Amanda wants to buy, we need to add up the cost of each item.

Cost of two pairs of jeans: 2 x $32 = $64Cost of three shirts: 3 x $18 = $54Cost of one jacket: $54

To find the total cost, we add up these amounts:

= $64 + $54 + $54

= $172.

Therefore, Amanda needs $172 to buy all the clothes she wants.

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7w/4+3=9w/10+6

I really need help on this

Answers

Answer:

w=3 9\17

Step-by-step explanation:

Roots of -2x^2 -6x+5=0

Answers

For this case we have the following quadratic equation:

[tex]-2x ^ 2 -6x + 5 = 0[/tex]

Where:

[tex]a = -2\\b = -6\\c = 5[/tex]

The roots will be given by the following formula:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

Substituting the values we have:

[tex]x = \frac {- (- 6) \pm \sqrt {(- 6) ^ 2-4 (-2) (5)}} {2 (-2)}\\x = \frac {6 \pm \sqrt {36 + 40}} {- 4}\\x = \frac {6 \pm \sqrt {76}} {- 4}\\x = \frac {6 \pm \sqrt {2 ^ 2 * 19}} {- 4}\\x = \frac {6 \pm2 \sqrt {19}} {- 4}\\x = \frac {3 \pm \sqrt {19}} {- 2}[/tex]

We have two roots:

[tex]x_ {1} = \frac {-3- \sqrt {19}} {-2}\\x_ {2} = \frac {-3+ \sqrt {19}} {2}[/tex]

Answer:

[tex]x_ {1} = \frac {-3- \sqrt {19}} {2}\\x_ {2} = \frac {-3+ \sqrt {19}} {2}[/tex]

Solve equation for X by graphing -2x-3=3^x+2
A.x=-2.75
B.x=-2
C.x=-1.75
D.x=-2.5

Answers

Answer:

Option D. x=-2.5

Step-by-step explanation:

we have

[tex]-2x-3=3^x+2[/tex]

I can divide the expression above in a system of two equations

[tex]y=-2x-3[/tex] ----> equation A

[tex]y=3^x+2[/tex] ----> equation B

Solve by graphing

The solution is equal to the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is ( -2.5,2.1)

see the attached figure

therefore

The solution is x=-2.5

Answer:

D) -2.5

Step-by-step explanation:

standard form Ax+By=C
x-3y=-6

Answers

Explanation:

The equation is already in standard form.

A is 1. The number 1 is often unwritten.

B is -3. The negative or positive sign is included with the equation.

C is -6. (If using this for the quadratic formula, c is actually 6 because the equation should equate to 0).

Higher Order Thinking Jamie says

that 19 - 10 is equal to 20 – 10

because both use subtraction. Is Jamie

correct? Explain why or why not.

**1st grade question**

Answers

Answer: Jamie is incorrect

Step-by-step explanation:

The same number 10 is subtracted from both numbers 19 and 20. There result will only be the same if both numbers are equal.

We compare both numbers;

19 and 20

On the number line 19 comes before 20, which means 20 is greater than 19. Hence the result of subtracting the same number 10 from both of them cannot be the same.

So Jamie is incorrect.

Answer:

she is wrong 19-10 equals to 9

Step-by-step explanation:

you subtract 19 from 10 and get 9:)

The hexagon is made from a rectangle and two identical triangles.
13 cm
5 cm
12 cm
Work out the area of the hexagon.​

Answers

Answer:

The area of the hexagon is 108 cm².

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure we get

Length of rectangle = 12 cm

width of rectangle = 5 cm

It is given both triangles are identical.

Base of each triangle = 12cm

Height of each triangle = (13-5)/2 = 4 cm

Area of rectangle is

[tex]Area=length\times width=12\times 5=60[/tex]

Area of rectangle is

[tex]Area=\frac{1}{2}\times base\times height[/tex]

[tex]Area=\frac{1}{2}\times 12\times 4=24[/tex]

Area of one triangle 24 cm². So, area of both triangle is

[tex]2\times 24=48[/tex]

Area of hexagon = Area of rectangle + Area of both triangles

                            = [tex]60+48[/tex]

                            = [tex]108[/tex]

Therefore, the area of the hexagon is 108 cm².

Final answer:

By finding the areas of the rectangle and the two triangles separately and adding them together, we determine that the area of the hexagon is 125 cm².

Explanation:

To find out the area of the hexagon, you would need to find the areas of the rectangle and the triangles separately, and then add them together. The rectangle's area can be calculated easily using the formula for the area of a rectangle: Length x Breadth.

Assuming the rectangular part length to be 13cm and breadth to be 5cm, area of rectangle = 13cm x 5cm = 65cm².

The two triangles appear to be right triangles. You can use the formula for the area of a right triangle: 0.5 x Base x Height.

Assuming the base and height of the triangles to be 12cm and 5 cm, therefore the area of one triangle is 0.5 x 12cm x 5cm = 30cm². Since there are two of these triangles, their combined area = 2 x 30cm² = 60cm².

Finally, combining the areas of the rectangle and triangles equals the area of the hexagon: 65cm² + 60 cm² = 125 cm².

The area of the hexagon is

125 cm²

.

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The perimeter of a rectangle with a length of 10 cm is 32 cm.

What is the width of the rectangle?


A. 6 cm

B. 10 cm

C. 12 cm

Answers

Answer:

32=2(10+x)

32=20+2x

2x=12

x=6

therefore breadth is 6 cm

area=l×b

10×6=60

Step-by-step explanation:

Giulia is playing a game with 6 cards: 4 kings, 1 queen, and 1 jack. She draws 1 card out of the stack of cards, replaces it, and then draws another card.


What is the probability that she will draw a king and then a jack, P(king, then jack)?

Answers

Answer: 1/9

Step-by-step explanation:

Total number of cards = 6

Probability = required outcome/ all possible outcome

number of kings=4

number of jack=1

Probability of drawing a king = 4/6

probability of drawing a jack = 1/6

Probability of drawing a king and then a jack is p(king and jack) = p(king) × p(jack) = 4/6 × 1/6 = 4/36

= 1/9

Answer:

1/9

thats all

Step-by-step explanation:

Which pair of triangles MUST be similar?

a.) Triangles 1 and 2 they each have a 40 degree angle.
b.) Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
c.) Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.

Answers

Answer:

b.) Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.

Step-by-step explanation:

b.) triangle 7's 3 angles: 40° , 35° and 180° - 40° - 35° = 105°

    triangle 8: 40° , 105° and 180° - 40° - 105° = 35°

they have all 3 corresponding angles congruent, triangle and triangle 8 is similar (AAA)

Answer:

b.) Triangles 7 and 8 are similar.

Step-by-step explanation:

If triangles have the same angle measurements, they are similar

If we have two angles, we can find the third by using the equation 180 (total of all angles in any triangle) - angle 1 -angle 2 = angle 3.

Let's set up this value with values from triangle 7.

180-40-35=angle 3

105=angle 3

Thus, the angle measurements of triangle 7 are 35, 40, anf 105.

Let's set up the same equation with value for triangle 8.

180-40-105=angle 3

35=angle 3

Thus, the angle measurements of triangle 8 are 35, 40, anf 105, the same as those of triangle 7, meaning the two triangles are similar.

Jennie's car gets 32.4 miles per gallon on the highway. If her car's fuel tank holds 12.7 gallons, how far can she drive on one tank of gas?

Answers

Multiply the miles per gallon by the total gallons:

32.4 x 12.7 = 411.48 total miles.

Answer:

411.48

Step-by-step explanation:

411.48

would some one please solve part A for me I have been try to solve it for a while thank you very much .​

Answers

Step-by-step explanation:

4x + 10 = 32

4x = 32 - 10

4x = 22

x = 11/2

if we add 4 to both sides of the equation :

4x + 10 + 4 = 32 + 4 4x + 14 = 36

4x = 36 - 14 4x = 22 and x = 11/2

as you can see the value for x didn't change because when we add/subtract or multiple/divide same number from both sides of an equation the result won't change.

Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same result as when she multiplies four times one less than the number. What number is Peggy thinking of?

Answers

Answer:

-7

Step-by-step explanation:

Lets assume the number Peggy is thinking of be "x".

Now as given, when twice the number is added to three times one more than the number. We can write it as

∴ [tex]2x+3(x+1)[/tex]--- Equation 1

Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.

∴ [tex]4(x-1)[/tex]-- equation 2

Next, we can equate both the equation 1 and 2 as it is given that result is same.

[tex]2x+3(x+1)= 4(x-1)[/tex]

Let´s distribute 3 into [tex](x+1)[/tex] and 4 into [tex](x-1)[/tex]

⇒ [tex]2x+3x+3=4x-4[/tex]

⇒ [tex]5x+3=4x-4[/tex]

Subtract both side by 4x and 3

∴ [tex]x=-7[/tex]

Peggy was thinking of -7

Eli rode his dirtbike around a 400 meter track at a constant speed of 1000 meters per minute how many minutes does it take Eli to complete 6 laps of the track​

Answers

It will take Eli 2.4 minutes to complete 6 laps

Step-by-step explanation:

Given

Speed = s = 1000 meters per minute

Length of one lap = 400 meters

We have to compute time for 6 laps,, so we have to find the length of 6 laps combined

[tex]Length\ of\ laps = Length\ of\ one\ lap * 6\\= 400 * 6\\= 2400\ meters[/tex]

So our total distance will be: 2400 meters

using the formula for speed

[tex]s = \frac{d}{t}\\1000 = \frac{2400}{t}\\t = \frac{2400}{1000}\\t = 2.4[/tex]

So

It will take Eli 2.4 minutes to complete 6 laps

Keywords: Speed, distance

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Savannah and her children went into a grocery store and she bought $22 worth of
peaches and mangos. Each peach costs $1.75 and each mango costs $1.50. She bought
6 more mangos than peaches. Write a system of equations that could be used to
an peaches Write a custom of educational
determine the number of peaches and the number of mangos that Savannah bought.
Define the variables that you use to write the system.

Answers

Answer:

Step-by-step explanation:

p = peaches, m = mangos

1.75p + 1.50m = 22

m = p + 6

1.75p + 1.50(p + 6) = 22

1.75p + 1.50p + 9 = 22

1.75p + 1.50p = 22 - 9

3.25p = 13

p = 13 / 3.25

p = 4 <====== she bought 4 peaches

m = p + 6

m = 4 + 6

m = 10 <===== she bought 10 mangos

check...

1.75p + 1.50m = 22

1.75(4) + 1.50(10) = 22

7 + 15 = 22

22 = 22 (correct)

The number of peaches and the number of mangos that Savannah bought

are 4 and 10 respectively.

The variable use to write the equation is x and it is the number of peaches

Savannah and her children bought

let

the number of peaches Savannah and her children bought = x

Therefore

the number of mangoes Savannah and her children bought = x + 6

The total worth of what they bought = $22

Therefore,

1.75x + 1.50(x + 6) = 22

1.75x + 1.50x + 9 = 22

3.25x + 9 = 22

3.25x = 22 - 9

3.25x = 13

x = 13 / 3.25

x = 4

Therefore,

number of peaches bought = 4

number of mangoes bought = 4 + 6 = 10

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g(x) = (x + 2)2 what is its graph

Answers

Answer: The graph is a parabola facing up ,

Step-by-step explanation:

Since the coefficient of [tex]x^{2}[/tex] is positive , then the graph is a parabola facing up.

The minimum point is at x = -2 ( using the formula for calculate vertex , x = [tex]\frac{-b}{2a}[/tex] )

And the y - intercept = 4

type the outputs of these ordered pairs from greatest to least:(-1,2),(-3,-1),(6,0),(-1,4)

Answers

Answer:

4,2,0,-1

Step-by-step explanation:

Let

x ----> the independent variable or input value

y ----> the dependent variable or output value

we have the ordered pairs

(-1,2),(-3,-1),(6,0),(-1,4)

The input values are -1,-3,6,-1

The output values are 2,-1,0,4

Orders the output values from greatest to least

4>2>0>-1

therefore

4,2,0,-1

Answer:

4,2,0,-1

hope this helps

The diagram below shows twelve 30-60-90 triangles placed in a circle so that the hypotenuse of each triangle coincides with the longer leg of the next triangle. The fourth and last triangle in this diagram are shaded. The ratio of the perimeters of these two triangles can be written as m/n where m and n are relatively prime positive integers. Find m + n

Answers

Answer:

m+n = 337

Step-by-step explanation:

Lets start from the first triangle, It is given to be as 30-60-90.

The hypotenous of first rectangle be 2x, then other sides are by default x and

[tex]\sqrt{3}(x)[/tex] , using laws of trigonometry.

(sin(30) = 0.5  and cos(30) = [tex]\frac{\sqrt{3}}{2}[/tex])

The perimeter of first triangle is ,

= [tex]2x + x + \sqrt{3}(x) = x(3+\sqrt{3}) = \sqrt{3}x(1+\sqrt{3})[/tex]

Now, for second triangle, the longer leg is 2x, and similarly again,

other 2 sides are [tex]\frac{2x}{\sqrt{3}}  and \frac{4x}{\sqrt{3}}[/tex].

Again the perimeter of triangle comes out as,

= [tex]\sqrt{3}(x)(1+\sqrt{3})(\frac{2}{\sqrt{3}})[/tex]

Thus, the repeating pattern is identified. The consecutive perimeters differ by, multiplying by factor [tex]\frac{2}{\sqrt{3}}[/tex]

Thus, we can say that perimeter of 4th triangle is,

= [tex](\frac{2}{\sqrt{3}})^{3}(X)[/tex], where X is the repeating constant.

And of 12th triangle is,

= [tex](\frac{2}{\sqrt{3}})^{11}(X)[/tex],

Evaluating the above ratio, we get,

= [tex]\frac{81}{256}[/tex]

Thus, m =256 and n=81.

Thus, m+n = 256+81 = 337.

Help meee!!!! In this diagram the area of the saller square is .....​

Answers

Answer:

The area of the larger square is 20 [tex]cm^2[/tex]

Step-by-step explanation:

Given:

The area of the smaller square   =  [tex]10 cm^2[/tex]

To Find:

The are of the larger square = ?

Solution:

The diagonal of the smaller square = diameter of the circle = sides of the larger square

The diagonal of the smaller square is

=>[tex]\sqrt{2(10)}[/tex]

=>[tex]\sqrt{20}[/tex]

=>[tex]\sqrt{2\times 2 \times 5}[/tex]

=>[tex]2\sqrt{5}[/tex]

Now this diagonal is equal to the side of the larger square

so the are of the larger square is

=>[tex](2\sqrt{5})^2[/tex]

=>[tex](2\sqrt{5}) \times (2\sqrt{5}) [/tex]

=> 20 [tex]cm^2[/tex]

Jamal bought 2 pounds of red apples and 3.2 pounds of green apples from a grocery store, where both kinds of apples are $1.65 a pound. How much did Jamal spend on apples? PLEASE HELP :(

Answers

In this question, we're trying to find out how much Jamal spent on apples.

We know that he bought 2 pounds of red apples and 3.2 pounds of green apples.

We also know that each pound of apples, no matter what kind it is, are $1.65 a pound.

In order to find the total cost of these apples, we would need to multiply the amount of pounds he has to the cost per pound.

Solve:

2 · 1.65 = 3.3‬0

3.2 · 1.65 = 5.28‬

Add those numbers together:

5.28‬ + 3.30 =  8.58‬

This means that Jamal spent $8.58‬ on apples.

Answer:

$8.58‬

Answer:

$8.58‬

Step-by-step explanation: this ok?

Donte is 138 centimeters tall . This is three times the height of his dog.what is the height of his dog

Answers

His height is 46 centimeters

Answer:

46 centimetres tall

Step-by-step explanation:

Since Donte is 138cm tall and his height is three times that of his dog; his dog's height is 138cm/3 = 46cm tall.

Therefore, Donte's dog is 46cm tall.

An amusement park charges admission plus a fee for each ride. Admission plus four ride cost $22. Admission plus seven ride cost $31. What is the charge for admission and the cost for each ride

Answers

Answer:

Admission fee charged = $3

Cost of each ride = $10

Step-by-step explanation:

Let admission fee charged by amusement park in dollars be =[tex]x[/tex]

Let cost of each ride in dollars be =[tex]y[/tex]

Given:

Admission plus four rides cost $22

If each ride cost in dollars = [tex]y[/tex]

Cost of 4 rides in dollars will be  = [tex]4y[/tex]

So, the total cost in dollars will be given as =[tex]x+4y[/tex]

So, we have

[tex]x+4y=22[/tex]

Admission plus seven ride cost $31.

If each ride cost in dollars = [tex]y[/tex]

Cost of 7 rides in dollars will be  = [tex]7y[/tex]

So, the total cost in dollars will be given as =[tex]x+7y[/tex]

So, we have

[tex]x+7y=31[/tex]

So, we have the system of equation as:

A) [tex]x+4y=22[/tex]

B) [tex]x+7y=31[/tex]

Solving the system by elimination method.

Eliminating [tex]x[/tex] by subtracting equation A from B.

   [tex]x+7y=31[/tex]

- [tex]x+4y=22[/tex]

   -       -      -  [Sign of each term of subtract-ant gets reversed]

-----------------------------

      [tex]3y=9[/tex]

Dividing both sides by 3.

[tex]\frac{3y}{3}=\frac{9}{3}[/tex]

∴ [tex]y=3[/tex]

Plugging in [tex]y=3[/tex] in equation A.

[tex]x+4(3)=22[/tex]

[tex]x+12=22[/tex]

Subtracting both sides by 12.

[tex]x+12-12=22-12[/tex]

∴ [tex]x=10[/tex]

Thus, admission fee charged = $3

Cost of each ride = $10

1. Determine if the set of ordered pairs is a relation or a function.
{(0,0), (0, 2), (0, 3), (0,4)}

Answers

Answer:

This is just a relation.

Step-by-step explanation:

It is easy to see if a set of ordered pairs is a relation or a relation that is a function.

If all the points are distinct, then you just have to look at the [tex]x[/tex]-coordinates.

If all the [tex]x[/tex]-coordinates are different, then it is a function. Otherwise, it is a just a relation.

So this cannot be a function because there is at least two different points that have [tex]x=0[/tex].


Select the correct answer from each drop-down menu.
In the figure, AC and BD bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

Reason options for 3rd statement:
•Alternate Interior Angles Theorem
•Vertical Angles Theorem
•Alternate Exterior Angles Theorem

Reason options for 9th statement:
•Converse of Alternate Exterior Angles Theorem
•Converse of Alternate Interior Angles Theorem
•Converse of Corresponding Angles Theorem
•Converse of Exterior angle theorem

Answers

Answer:1Vertical angles theoram

Step-by-step explanation:2 coverse of alternate interior angles theoram

Answer:

1. Reason options for 3rd statement:

Alternate Interior Angles Theorem

2.Reason options for 9th statement:

Converse of Alternate Interior Angles Theorem

Step-by-step explanation:

What do you know about the slope when X2 - X1 = 0 ?

Answers

Answer:

slope is undefined

Step-by-step explanation:

Using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

If x₂ - x₁ = 0

Since division by zero is undefined then the slope of the line is undefined

This applies to a vertical line parallel to the y- axis

I don’t understand this help please

Answers

Answer:

  9

Step-by-step explanation:

The first simplification we can make is to replace 6^0 with 1.

The first rules of exponents we can apply are ...

  (a·b)^c = a^c·b^c . . . . . . similar to the distributive property

  (a^b)^c = a^(b·c)

This reduces your expression to ...

  [tex](2^8\cdot 3^{-5})^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot 2^{28}=2^{8(-2)}\cdot 3^{-5(-2)}\cdot\dfrac{3^{-2(4)}}{2^{3(4)}}\cdot 2^{28}\\\\=2^{-16}\cdot 3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot 2^{28}[/tex]

Now we can apply another two rules of exponents:

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

Using these, we have ...

  [tex]=2^{-16-12+28}\cdot 3^{10-8}\\\\=2^0\cdot 3^2\\\\=1\cdot 9=9[/tex]

The value of the expression is 9.

Maria finds a local gym that advertises 102 training sessions for $767. Find the cost of 117 training sessions.

Answers

Answer:

$986

I attempted to do the simple math. I feel brain dead right now.  

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What kind of Theorem is this? AAS, SAS, SSS, ASA, HL, or NP? A group of students are reviewing information about antihistamines. The students demonstrate understanding of the information when they identify which agent as a second generation antihistamine? What is the name of the theory which suggests that the environment has direct rights and qualifies for moral personhood? Select one: a. environmental justice b. resource exploitation c. ecocentrism d. comprehensive environmental response There are 80 grams of salt in a 32% solution. Find the weight of the solution. A department Store sells a pair of shoes with an 87% markup. If the store sells the shoes for 192.61 dollars then what is their non-markup price? This problem is a review of the grammar rules youve learned as well as a review of confusing words and frequently misspelled words.Fill in the blank with the most appropriate answer.1) Since I was in charge of the report, I (begun, began, begin) tabulating and analyzing responses.2) Which is the grammatically and mechanically correct option?I will add up all the salaries and divide by the total number of items. I will give you the mean, but be careful when interpreting the mean because it might be misleading.I will add up all the salaries and divide by the total number of items, I will give you the mean be careful when interpreting the mean because it might be misleading.I will add up all the salaries and divide by the total number of items, I will give you the mean, but be careful when interpreting the mean because it might be misleading.3) Sometimes I wish my team leader (were, was) an expert grid maker so everyone could understand her reports.4) Ask Brian or (me, myself) whether our conclusions are bias-free.Fill in the blank with the correct word.5) The research Jeanne is doing will take (precedence, precedents) over the research Linda is doing.Fill in the blank with the correct word.6) I was (formerly, formally) a full-time researcher before I was hired for this position.7) Which word is spelled correctly?ArgumentArguementArgement8) Which word is spelled correctly?RecommendationRecomendationReccomendation9) Which word is spelled correctly?RiceiptReceiptReciept PLEASE HELP WILL MARK AS BRAINLIEST 50 POINTSAfter sales tax your brand new car is $17,300. What is the total price of the car with DMV fees of 1.25% of the purchase price of the car?A. $261.25B. $17,516.25C. $216.25D. $17,561.25 If cos x= sin(20 + x) and 0 < x < 90, what is the value of x lifecycle of plasmodium in human host The appearance of the tired commander makes a vivid impression on Nate. Which of thefollowing sentences from the story best supports this statement?A As they halted, waiting for the rest of the troops to catch up, the one who seemed to bethe leader held up his hand in a gesture of greeting.B He advanced toward the house, and Nate could see the lines of fatigue crossing his browand the silver hair around his deeply tanned face.C Boy, the soldier said, My men need food and shelter for the night.D Then maybe you could get your Pa to speak with me, the man said quietly, as ifremembering discarded manners. Asian and Mexican immigrants in the early twentieth century: Select one: a. clustered in the South as agricultural workers. b. clustered in the West as agricultural workers. c. were much more welcome than European immigrants. d. were prohibited from entering the United States. "" The tape in a videotape cassette has a total length 191 m and can play for 1.9 h. As the tape starts to play, the full reel has an outerradius of 35 mm and an inner radius of 11 mm. At some point during the play, both reels will have the same angular speed.What is this common angular speed? Alan Everett is the president of United States is nominated 15 heads of the executive department that form his cabinet which official body must confirm in approve the appointment of Allens 15 nominees? Rebecca completed work on a computer and is verifying the functionality of the system when she finds a new problem. This problem is not urgent and can be easily fixed. The policy at Rebeccas company is that all problems need to be reported and given a priority code before they can be assigned to someone.What should Rebecca do about this new problem?a. Report the new problem.b. Troubleshoot the new problem.c. Ignore the new problem.d. Determine whether fixing the first problem caused the second problem. A baby was born and then began to gain weight at a rate of 1.5 pounds per month. After 4 months, the baby's weight was 16 pounds. Write an equation for the function W(t),W(t), representing weight, in pounds, of the newborn baby tt months after birth.j if technology improves in producing computers, what will happen to the eualibrillim price and quantity of computers? (A) Both the equilibrium price and quantity will increase.(B) Both the equilibrium price and quantity will decrease.(C) The equilibrium price will increase and the equilibrium quantity will decrease.(D) the equilibrium price will decrease and the equilibrium quantity will increase Which historical event opened the door for many women who worked at the Langley Laboratory?The Civil WarWorld War IIWorld War IThe Great Depression Look at the examples in highlighted text. Which shows the woman's problem of self-perceived poverty? (Choose three.) "No...There's nothing so humiliating... Her tastes were simple because... She suffered from the shabbiness of her house.. "Why, darling, I thought you'd be pleased... "Wear flowers," he said. "They're very smart... A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5. What is the length of line segment DG? 4 units 7 units 12 units 23 units Falcon Co. produces a single product. Its normal selling price is $28 per unit. The variable costs are $18 per unit. Fixed costs are $21,200 for a normal production run of 5,000 units per month. Falcon received a request for a special order that would not interfere with normal sales. The order was for 1,680 units with a special price of $19 per unit. Falcon has the capacity to handle the special order, and for this order, a variable selling cost of $2 per unit would be eliminated.If the order is accepted, what would be the impact on net income?increase of $6,552increase of $5,040decrease of $3,024increase of $4,032 Steam Workshop Downloader