Simplify the following expression.

A.49
B.1/14
C.1/49
D.14

Simplify The Following Expression.A.49B.1/14C.1/49D.14

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

• [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Hence

[tex]7^{-5/6-7/6}[/tex] = [tex]7^{-\frac{12}{6} }[/tex] = [tex]7^{-2}[/tex], then

[tex]7^{-2}[/tex] = [tex]\frac{1}{7^{2} }[/tex] = [tex]\frac{1}{49}[/tex] → C

Answer 2

ANSWER

C. 1/49

EXPLANATION

The given expression is

[tex] {7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } [/tex]

Recall that:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

We apply this product rule of exponents to get:

[tex] {7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = {7}^{ - \frac{5}{6} + - \frac{7}{6} } [/tex]

This implies that:

[tex] {7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = {7}^{ - \frac{12}{6} } [/tex]

[tex]{7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = {7}^{ - 2} [/tex]

Recall again that:

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

We apply this rule to get:

[tex]{7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = \frac{1}{ {7}^{2} } [/tex]

This simplifies to:

[tex]{7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } = \frac{1}{49} [/tex]


Related Questions

which two numbers are solutions of 2n - 15≤ = -3

×║thank you║×

Answers

Answer:

n ≤ 6

Step-by-step explanation:

2n - 15 ≤ -3

Add 15 to both sides.

2n ≤ 12

Divide both sides by 2.

n ≤ 6

The solution of this inequality is any number less than or equal to 6. There is an infinite number of solutions. Since you are asked to pick two numbers that are solutions, I assume you have choices that were given. Look at the choices, and pick any number less than 6 and 6 itself if it is a choice.

The answer for which two numbers are solutions of 2n - 15≤ = -3

Is n≤ 6

Which table represents a linear function

Answers

It is the first one because the X side is going up at a steady rate and the Y is also going up at a steady rate

From the given table, table 1 represents the linear function.

Rate of change can be used to detect a linear function.

We can calculate rate of change to check whether the given coordinates represent linear relationship or not.

Formula used to calculate rate of change, m

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].......................................................1

For table 1:

Calculating value of m using eq 1 for points (2,7) and (4,9)

[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]

Similarly,

Calculating value of m using eq 1 for points (6,8) and (11,13)

m=1

Slope remains same. So, it shows linear relationship.

For table 2:

Calculating value of m using eq 1 for points (1,7) and (2,9)

[tex]m=\dfrac{9-7}{2-1}\\\\m=2[/tex]

Similarly,

Calculating value of m using eq 1 for points (3,12) and (4,15)

m=3

Value of slope changes from 2 to 3. Thus, it does not show linear relationship.

For table 3:

Calculating value of m using eq 1 for points (1,7) and (2,11)

[tex]m=\dfrac{11-7}{2-1}\\\\m=4[/tex]

Calculating value of m using eq 1 for points (3,12) and (4,13)

m=1

Value of slope changes from 4 to 1. Thus, it does not show linear relationship.

For table 4:

Calculating value of m using eq 1 for points (2,7) and (4,9)

[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]

Calculating value of m using eq 1 for points (6,12) and (8,15)

m=3/2

Value of slope changes from 1 to 3/2. Thus, it does not show linear relationship.

So, the Slope of table 1 is the same for all the coordinates. Thus, table 1 represents a linear function.

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7 times the sum of a number and 4 is the same as 8 decreased by 3 times the number. Find the number

Answers

Answer:

7(x4) = 8-x

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

7(4+x)=8-3x would be your equation

your first step would be to move your 3x to the other side of the equation by adding 3x to both sides after this your equation should look as follows: 7(4+x)+3x=8 2nd: you should distribute your 7 to the numbers inside of the parenthsis and combine like terms to get 10x+28=8 then you move your 28 to the other side by subracting 28 and you will get 10x=-20 divide by ten to get the answer which is x=-2

Twelve students earned A's. This was 3/8 of the students in the class. What percent of the students did not earn A's?

Answers

Answer:

62.5% of the class

Step-by-step explanation:

If 12 students is 3/8 of the class, the ones who earned A's, then 5/8 did not earn A's.

Let c represent the total number of students in the class.

Then (3/8)c = 12, and c = (8/3)(12) = 32.

5/8 of these 32 students did not earn A's:  (5/8)(32) = 20.

These 20 students constitute 20/32 of the class, or 0.625 of the class, or 62.5% of the class.

what is the area of parallelogram abcd? HELP THIS IS TIMED​

Answers

Answer:

13.04 square units

Step-by-step explanation:

Since this is a parallelogram, we only need to solve for the sides of 2 sides.

We can use the distance formula.

The distance from A --> D :

A(3,6) and D(2,2)

2 - 3 = -1

-1^2 = 1

2 - 6 = -4

-4^2 = 16

1 + 16 = 17

[tex]\sqrt{17}[/tex]

The distance from A --> B :

A(3,6) and B(6,5)

6 - 3 = 3

3^2 = 9

5 - 6 = -1

-1^2 = 1

9 + 1 = 10

[tex]\sqrt{10}[/tex]

Multiply.

[tex]\sqrt{10}*\sqrt{17}=13.04[/tex]

*Rounded to the nearest hundreth

Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49

Answers

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide [tex]X^3+43-49x-7x^2[/tex] by [tex]x^2-49[/tex]

First arrange the term  [tex]X^3+43-49x-7x^2[/tex] in terms of ascending order of x.

Arranging we get:

[tex]x^3 - 7x^2 -49x + 43[/tex] \  [tex]x^2-49[/tex]

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

Answer: X - 7 R -300

(The person above me said it all and definitely deserves the brainliest)

chan bought a 345$ smartphone but his total was 365.70 what percent sales tax did he pay?

Answers

6%.

365.70-345=20.7

345*.06=20.7

The percentage of the sales tax Chan pay if Chan bought a $345 smartphone, but his total was $365.70 is 6%.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

The cost of smartphone = $345

The total amount = $365.7

Calculate the percentage as shown below,

Percentage of tax = The total amount - The cost of smartphone / The cost of smartphone × 100

Percentage of tax = (365.7 - 345) / 345 × 100

Percentage of tax = 20.7 / 345 × 100

Percentage of tax = 0.06 × 100

Percentage of tax = 6 %

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Identify the rule for function table

Answers

Answer:

i think that it is y=12-x

Step-by-step explanation:

Answer:

Y = x÷2

Step-by-step explanation:

For this purpose, we have to examine all the x and y values.

Looking at the first x value which is 24, the output is 12 which is half of the input.

Then for second input x=12, the output is y=6, which again is half of the output.

Then for the last value of x, the same rule applies.

So we can conclude that y=x/2 or y=x÷2.

So option C is the right answer..

Evaluate the expression.

8^7/8^7

Answers

The value of the expression (8^7)/(8^7) is 1.

The expression (8^7)/(8^7) can be simplified using the properties of exponents. According to the quotient rule of exponents, when dividing two numbers with the same base, the exponents are subtracted. In this case:

   (8^7)/(8^7) = 8^(7-7) = 8^0

Any non-zero number raised to the power of 0 is equal to 1, according to the fundamental property of exponentiation. Therefore, the value of the expression (8^7)/(8^7) is 1.

Hence, the value of the expression (8^7)/(8^7) is 1.

By applying the quotient rule of exponents, we simplify the expression to 1, reflecting the property of exponentiation where any non-zero number raised to the power of 0 equals 1.

which fraction will result in a repeating decimal?
A. 9/10
B. 2/5
C. 3/8
D. 2/11

Answers

Answer:

2/11 = 0.181818...

D. is your repeating decimal.

What did cicero mean by delivery

Answers

cicero meant to transfer something to someone .

Answer:

Body language and vocal technique

Step-by-step explanation:

PLZZZ HELP ASAP!!!!!!!!!!!!!!!!It is a 75 mile trip to your grandparent's house. Which divisibility rule proves that 75 is an odd number? A) divisibility by 1 B) divisibility by 2 C) divisibility by 3 D) divisibility by 5

Answers

Divisibility by 2 would be the correct answer. Two is an even number, and the only listed at that. Odd numbers are only divisible by another odd number. Hope I helped you !

Answer:

the answer is B) divisibility by 2

Step-by-step explanation:

I got the answer on the USA test prep.

thanks for your help with brainly

Which description best fits the distribution of the data
shown in the histogram?

A. The mean is greater than the median.

B. The mean and median are approximately the same

C. The mean is less than the median

Answers

Answer:

The correct option is A.

Step-by-step explanation:

From the given histogram it is clear that it is right skewed or positive skewed distribution because the tail is stretched toward right.

Negative skewed: Mean < Median < Mode

No skewed: Mean = Median = Mode

Positive skewed: Mean > Median > Mode

Since the given histogram is positive skewed distribution, therefore mean is greater than the median.

Hence the correct option is A.

Given T(2,5,4) and M(3,1,0) find The ordered triple that represents TM. Then find the magnitude of TM?

Answers

Answer:

c. [tex]\:<\:1,-4,-4\:>\:,\sqrt{33[/tex]

Step-by-step explanation:

Given T(2,5,4) and M(3,1,0);

[tex]^{\to}_{TM}=^{\to}_{OM}-^{\to}_{OT}[/tex]

[tex]^{\to}_{TM}=\:<\:3,1,0\:>\:-\:<\:2,5,4\:>\:[/tex]

[tex]^{\to}_{TM}=\:<\:3-2,1-5,0-4\:>\:[/tex]

[tex]^{\to}_{TM}=\:<\:1,-4,-4\:>\:[/tex]

The magnitude of this vector is :

[tex]|^{\to}_{TM}|=\sqrt{1^2+(-4)^2+(-4)^2[/tex]

[tex]|^{\to}_{TM}|=\sqrt{1+16+16[/tex]

[tex]|^{\to}_{TM}|=\sqrt{33[/tex]

Answer:

C

Step-by-step explanation:

Edge 2020 :)

A. They sold the least lemonade with the recipe that used 3 lemons
B. They sold the least lemonade with the recipe that used 7 lemons
C. They sold the most lemonade with the recipe that used 3 lemons
D. They sold the most lemonade with the recipe that used 7 lemons

Answers

Answer:

B. They sold the least lemonade with the recipe that used 7 lemons

Step-by-step explanation:

Answer:

B. They sold the least lemonade with the recipe that used 7 lemons

Step-by-step explanation:

As can be seen from the graph the points are

(3, 37)

This means that when they used 3 lemons then they sold around 37 cups

(4, 32)

This means that when they used 4 lemons then they sold around 32 cups

(5, 40)

This means that when they used 5 lemons then they sold around 40 cups

(6, 35)

This means that when they used 6 lemons then they sold around 40 cups

(7, 26)

This means that when they used 7 lemons then they sold around 26 cups

It can be seen that the last case is when they sold the least number of cups.

I’m stuck on this question can some help me ?????

Answers

Answer:

plant B would recycle 60 more red bottle and plant c would recycle 38 more bottles

Step-by-step explanation:

HELP 30 POINTS !!!!! What information about the houses that is not shown in this data could affect housing prices? Check all of the boxes that apply.

the location of the houses

the size of the houses

the selling prices

the conditions of the houses

the value of the houses relative to other homes in the same area

Answers

Answer:

1, 2, 4, 5

Step-by-step explanation:

e2020 (edgen)

The information about houses that can affect housing prices are:

the location of the housesthe size of the houseshe conditions of the housesthe value of the houses relative to other homes in the same area

What are the factors that affect housing pricing?

If a house is located in a prime location, its values would be higher than that of houses not located in prime areas. The bigger a house is, the higher its value. If a house is fitted with modern facilities, its value would be higher than that of other houses.

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Solve equation 5(n-4) = -60

Answers

Answer:

n = -8

Step-by-step explanation:

The variable has 4 subtracted and that quantity is multiplied by 5. You can find the value of the variable by reversing these operations, in reverse order. That means you first divide both sides of the equation by 5:

5(n-4)/5 = -60/5

n -4 = -12 . . . . . . simplify

Then you undo the subtraction of 4. You accomplish that by adding 4 to both sides of the equation.

n -4 +4 = -12 +4

n = -8 . . . . . . . . . simplify

_____

This equation can also be solved by first eliminating parentheses. Then you have

5n -20 = -60

Now, the variable is multiplied by 5, then 20 is subtracted from the sum. Reversing these operations in reverse order, we first add 20 to both sides of the equation:

5n -20 +20 = -60 +20

5n = -40 . . . . . . . . . . . . . simplify

Then we undo the multiplication by dividing both sides of the equation by 5:

n = -8

_____

The rule to remember is "whatever you do to one side of the equation must also be done to the other side". This is what keeps the equal sign valid.

Answer:

n = - 8

Step-by-step explanation:

There are 2 possible approaches to solving this question

method 1

5(n - 4) = - 60 ( divide both sides by 5 )

n - 4 = - 12 ( add 4 to both sides )

n = - 8

method 2

5(n - 4) = - 60 ( distribute left side )

5n - 20 = - 60 ( add 20 to both sides )

5n = - 40 ( divide both sides by 5 )

n = - 8

What is the surface area of this cylinder? Please show steps!

Answers

Answer:

251.33

Step-by-step explanation:

the formula is π r-squared h

so the formula for this question is π (2 squared)(20)

you will square 2 to get 4 then multiply that by π then lastly multiply by 20

Answer:

area = (exact) 88pi ft^2 or (approximate) 276 ft^2

Step-by-step explanation:

The surface area of a cylinder is the sum of the areas of the bases, two circles, and the lateral area which is a rectangle.

Each base is a circle, and the two bases are congruent, so find the area of one base and multiply by 2.

The lateral area is a rectangle. You need to find the length and width of the rectangle. Think of a can of food with a label wrapped around. If you make a vertical cut from one base to the other, and you unwrap the label, you will see that the lateral surface of a cylinder is a rectangle that has the height of the cylinder as its length, and the circumference of the base are its width.

area of circle = pi *r^2

area of rectangle = length * width

length of rectangle: length = 2(pi)r

width of rectangle: width = height = h

total area of cylinder = area of bases + lateral area

total area of cylinder = 2 * pi *r^2 + 2(pi)r * h

total area of cylinder = 2 * pi * (2 ft)^2 + 2 * pi * 2 ft * 20 ft

total area of cylinder = 8pi ft^2 + 80pi ft^2

total area of cylinder = 88pi ft^2

The exact area is 88pi ft^2.

If you need an approximate area, then use 3.14 for pi.

area = 88 * 3.14 ft^2

area = 276 ft^2

Find the length of AB. Leave your answer in terms of pi

Answers

Answer:

14.7π

Step-by-step explanation:

The length of the arc is calculated as

arc AB = circumference × fraction of circle

           = 2π × 6 × [tex]\frac{140}{360}[/tex]

           = [tex]\frac{12(140)\pi }{360}[/tex] = 14.7 π

what is the coordinates of the vertex of y+10=4(x-1)^2​

Answers

Answer:

(1, -10)

Step-by-step explanation:

Only the y can be on the left hand side. The square has been completed so all you need do is transfer the 10 to the right and read the x,y values for the vertex.

I have provided a graph to show you that the vertex and my answer are the same (hopefully).

y + 10 = 4(x - 1)^2          Subtract 10 from both sides.

y + 10-10=4(x -1)^2 -10  Combine

y = 4(x - 1)^2 - 10

Now we need to make the square term = 0

x - 1  = 0                        Add 1 to both sides

x - 1 + 1 = 0 +1               Combine

x = 1                              When x = 1 the square term will equal 0.

The vertex should be (1, - 10)

What is the LCD of 3/4 and 7/10

Answers

20, because If you look at the picture , the lcd is 20. (Bad explanation)

the LCD is 20

[tex] \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \\ \\ \frac{7}{10} \times \frac{2}{2} = \frac{14}{20} [/tex]

Which letter could represent sin -135°?
A. a
B. b
C. c
D. d

Answers

Answer:

Option D.

Step-by-step explanation:

we know that

Angle -135° is equal to

360°-135°=225°

The angle belong to the III quadrant

225°-180°=45°

sin(45°)=d/1=d  

therefore

sin(-135°)=-sin(45°)=d  ---> the value is negative

PLZ HELP GIVING AS MANY POINTS AS I CAN

Answers

7 and trinomial i believe !

Which phrase is represented by the expression 5x ( 36+ 9)?

Answers

Final answer:

The expression 5x (36+9) simplifies to 225 by first adding the numbers in the parentheses (36+9) to get 45, and then multiplying 5 by 45.

Explanation:

The expression 5x (36+9) represents the phrase 'five times the sum of thirty-six and nine.' To evaluate this expression, you first perform the operation inside the parentheses. In this case, you add 36 and 9, which equals 45. After simplifying the parentheses, the expression becomes 5x45. As the final step, you multiply 5 by 45, which equals 225. Therefore, the expression 5x (36+9) equals 225.

If a cone and sphere have the same radius and the same height, what is the relationship among the volumes of the two shapes?

Answers

Answer:

the volume of the sphere will be 4 times the volume of the cone;

Step-by-step explanation:

The question is on volume comparison

Volume of a sphere=4/3 [tex]\pi[/tex]×r³

Volume of a cone= [tex]\pi[/tex]/3×r²h

where r is the radius and h is the height

Apply the condition

If r=h=1 unit

Then volume of sphere will be= 4/3 × [tex]\pi[/tex]×1³ = 4/3[tex]\pi[/tex]

And volume of the cone will be= [tex]\pi[/tex]/3 ×1²×1 =[tex]\pi[/tex]/3

We can see the volume of the sphere will be 4 times the volume of the cone;

4/3[tex]\pi[/tex] = 4×[tex]\pi[/tex]/3

The volume of the sphere is exactly twice the volume of the cone.

To establish the relationship between the volumes of a cone and a sphere when they have the same radius and height, we need to use the formulas for the volumes of these shapes.

Let's denote the radius of both the cone and the sphere as r  and the height of the cone (which is also the diameter of the sphere) as h .

The volume V  of a sphere is given by the formula:

[tex]\[ V_{\text{sphere}} = \frac{4}{3}\pi r^3 \][/tex]

The volume V  of a cone is given by the formula:

[tex]\[ V_{\text{cone}} = \frac{1}{3}\pi r^2 h \][/tex]

Since the height of the cone is the same as the diameter of the sphere, we have [tex]\( h = 2r \).[/tex]Substituting this into the volume formula for the cone gives us:

[tex]\[ V_{\text{cone}} = \frac{1}{3}\pi r^2 (2r) = \frac{2}{3}\pi r^3 \][/tex]

Now, we can compare the volumes of the two shapes:

[tex]\[ V_{\text{sphere}} = \frac{4}{3}\pi r^3 \] \[ V_{\text{cone}} = \frac{2}{3}\pi r^3 \][/tex]

Dividing the volume of the sphere by the volume of the cone, we get:

[tex]\[ \frac{V_{\text{sphere}}}{V_{\text{cone}}} = \frac{\frac{4}{3}\pi r^3}{\frac{2}{3}\pi r^3} = \frac{4}{2} = 2 \][/tex]

Therefore, the volume of the sphere is exactly twice the volume of the cone when they have the same radius and height.

Help for the two questions shown.

Answers

(1) the answer for this question is 33 metre square

rectangle is 4*7 that is 28meter square +5 m^2

33m^2

(2) answer for this question is 19 yard square

area of square is 3*3 that is 9m^2+10m^2

19m^2

hope it helps you !!!!!!!

1) 33 square meter2) 19 square yardsHope this helped!

What is the value of x?
A. 20
B. 35
C. 60
D. 70

Answers

Answer:

A. 20

Step-by-step explanation:

Since they both reflect each other, you would set (3x)° equal to (x + 40)°. Then move -x to the other side of the equivalence symbol to get 40 = 2x. This is how x is defined. You immediately divide by 20 to get your result above.

I am joyous to assist you anytime.

Explain why a semi-truck will accelerate more slowly than a motorcycle?

Answers

the semi truck has more weight than a motorcycle. the truck will have to go slow with it carring the passangers and the cargo, alonf with the weight of the trailer and and the weight of the cab itself. the motorcycle will only carry the passanger and the cycle its self. theres a big weight difference. anorher thinf is the motors are both a different size. the motorcycles motor is alot smaller than the trucks so the bikes motor will get ready faster. the same goes with alot of pick up trucks. some trucks have a weight to start signal because they are trying to get the motor ready.

I hope this helps.

Answer:

The semi-truck has more weight than the motorcycle.

Step-by-step explanation:

Obviously a truck is heavier than a motorcycle, so it will have more inertia. Hope this helps!

Is a equilateral triangle always acute triangle

Answers

Yes an equilateral triangle is a type or acute triangle.

Answer: yes

Step-by-step explanation: An acute triangle means that all of the angles of the triangle are less than 90 degrees.

Since a triangle has three angles which always add to 180 degrees

and an equilateral triangle must have all of the same angles, it's impossible

to have an equilateral triangle that measures anything other than 60°.

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