The population of a town in Utah in 1997 was 6000. After two years, the population of this town was 145% of the 1997 population. What is the population of the town after two years?



A.
6145


B.
7000


C.
8700


D.
9000

Step-by-step explanation:

First, reflect over the y-axis:

(1, -2) → (-1, -2)

Then, rotate 180° around the origin:

(-1, -2) → (1, 2)

Answer:

Choice D

Step-by-step explanation:

The Cavalieri's principle states that if two or more solids have identical cross-sectional area as well as height, then the solids will have equal volume.

Therefore, the volumes of the cylinders are the same

Answer:

The volumes of the cylinders are the same.

Step-by-step explanation:

Answer:

$ 4.50

Step-by-step explanation:

Given:

Charges of shipping package up to 1 ounce= $0.57

charges of shipping package of 224  grams=?

Converting grams into ounces

1 gram = 0.035274 ounces

224 grams = x ounces

By cross-multiplication we get

224(0.035274)= x ounces

7.90137= x

224 grams= 7.90137 ounces

Now finding charges of shipping package of 7.90137 ounces

Charges of shipping package up to 1 ounce= $0.57

charges of shipping package of 7.90137 ounces= $ x

By cross-multiplication we get

$x= 7.90(0.57)

   = 4.50

Hence the cost to ship the package in dollar and cents is $4.50

i.e. 4 dollars and 50 cents!

To find median your numbers have to be in numerical order from smallest to largest and the value that occurs more often and if no number is repeated then there is not median aka (mode)

To find mean you need to add all the number and divide the numbers that you add.

To find median you put the numbers least to greatest. Then, cross the numbers until you find an one number and that's it. If they are two numbers that left, you can add together and divide by two.

I hope this help you. :)

Answer:

The sale price of a ticket from Austin to Phoenix for someone under 12 is $49.70

Step-by-step explanation:

Let

x----> the sale price of a ticket from Austin to Phoenix for someone under 12

we know that

100%-65%=35%=35/100=0.35

so

x=0.35*($142.00)

x=$49.70

A. The distance between the library and the park is equal to [tex]2\sqrt{10}[/tex] miles.

B. The distance between the park and the football field is [tex]2\sqrt{35}[/tex] miles.

Therefore, the correct answer option is D. [tex]2\sqrt{10}[/tex] miles and [tex]2\sqrt{35}[/tex] miles.

According to the geometric mean (leg) theorem, the length of the leg of a right-angled triangle is the geometric mean between its hypotenuse and the segment of the hypotenuse which is adjacent to that leg;

Hypotenuse/leg = leg/part or altitude/left = right/altitude

where;

left = 10 miles

right = 4 miles

Part A.

By applying geometric mean (leg) theorem, the distance between the library and the park (x) can be calculated as follows;

[tex]x^{2} =10 \times 4\\\\x=\sqrt{40} \\\\x=2\sqrt{10} \;miles.[/tex]

By applying geometric mean (leg) theorem, the distance between the park and the football field (y) can be calculated as follows;

(10 + 4)/y = y/10

14/y = y/10

[tex]y^2=\sqrt{140} \\\\y=2\sqrt{35}\;miles[/tex]

Answer:

It's x = -4 ,  2.

Step-by-step explanation:

x^2 + 2x - 8 = 0

The left side will factor to the form (x + a)(x + b).

We need 2 numbers  (a and b)  whose  product = -8 and whose sum = +2.

These  are a = 4 and b = -2,  so the factors are

(x + 4)(x - 2) = 0

Now either x + 4 = 0 or x - 2 = 0,

giving x = -4, x = 2 (answer).

Answer:

-2 , 4

Step-by-step explanation:

Their are 4 ways you can solve this but I am going to factorise to solve

x² + 2x − 8 = 0

Factors = 4 , -2

Sum = 2

Product = -8

x ( x + 4 ) - 2 ( x + 4 ) = 0

( x - 2 ) ( x + 4 ) = 0

x = - 2 , 4

Answer:

V=a3

Step-by-step explanation:

To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.

Measure a side of the botom and then multiply it by 2 (That's the area), then multiply the result with the height: Area X Height = Volume. :)

hope you understand my answer LoL

:) Hope this answers your question :)

hope my handwriting is readable.

Answer:

420

Step-by-step explanation:

420 I think that’s what you wanna

Answer:

Tessa's mistake was to have multiplied each dimension by two instead of multiplying by a square root of two.

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

x ----> the area of the enlarged garden

y ----> the area of the original garden

[tex]z^{2}=\frac{x}{y}[/tex]

we have that

If Tessa multiplies each dimension by 2, then the scale factor equals 2.

[tex]z=2[/tex]

substitute

[tex]2^{2}=\frac{x}{y}\\\\ 4=\frac{x}{y}\\\\x=4y[/tex]

The area of the enlarged garden will be equal 4 times the area of the original garden

so

If Tessa wanted to have twice as much surface, she must multiply each dimension by a square root of 2.

therefore

Tessa's mistake was to have multiplied each dimension by two instead of multiplying by a square root of two

Answer: B.

Step-by-step explanation:

Diameter = Radius divided by 2.

The volume formula of a sphere is V = 4/3 π r^3.

Radius of this problem = 7.5.

So, V = 4/3 π (7.5) ^3.

Once you "plug in" the radius and solve the equation, you get an answer of 1,766.3, rounded to the nearest tenth.

Don't forget the inches cubed!

The answer is B. 1766.3

using pythagoras theorem the height ladder reaches above the wall can be found as in picture the answer would be 12ft

Answer:

independent

Step-by-step explanation:

Since no one else answered,  figured you wouldn't mind if I do. :-), and you didn't use any CAPS.

How those two events (even and greater than 9) relate?

independent: YES. Can one happen without the other?  Certainly.  You see (1,1) is an even number that  is not greater than 9.  Equally, you see (6,5) which is greater than 9, but is not an even number.

inclusive: No, since  there's a least one case where a pair number is not greater than 9.  The opposite is also true... at least 1 number > 9 that is not even.

Mutually exclusive: No, since there numbers that are even AND greater than 9 (6,4) for example.

Conditional: No. Does one need the other to happen?  Absolutely not.

[tex]\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ h(x)=x^2+x-6 \qquad \begin{cases} x_1=0\\ x_2=3 \end{cases}\implies \cfrac{h(3)-h(0)}{3-0} \\\\\\ \cfrac{(3^2+3-6)~~-~~(0^2+0-6)}{3}\implies \cfrac{(6)-(-6)}{3} \\\\\\ \cfrac{6+6}{3}\implies \cfrac{12}{3}\implies 4[/tex]

The last digit of 73 factorial (73!) is 0 because any factorial of a number greater than 4 ends in 0 due to the multiplication with 2 and 5.

The last digit in a factor of an integer is dependent upon the pattern of the last digits in its individual factors. We know that factorial of any number greater than 4 ends in 0 because factorial operation involves multiplication by 2 and 5. Since 2 and 5 are factors of any number greater than 4, and the multiplying them results in 10, the final digit will always be 0.

In our case, the student wants to find out the last digit in 73!, which is far greater than 4. So, the last digit of 73! is 0.

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Answer:c

Step-by-step explanation:

The answer is the top one.

Hope this helps!

The radius of the circle is 17 uints and the point (-15,-16) or (-15,14) lies on the circle.

step by step explanation is here,

centre of circle(h,k)=(-7,-1)

if the circle passes through the point (8,7)

then the distance between (8,7) and (-7,-1) represents the radius.

so, r^2= (x2-x1)^2 + (y2-y1)^2

or, r^2=(-7-8)^2 +(-1-7)^2

or, r^2=(-15)^2 +(-8)^2

or, r^2=225+64

or, r^2=289

or, r=17 units

now the equation of circle is

(x-h)^2 +(y-k)^2 =r^2

or, (x+7)^2 +(y+1)^2 =289

or, x^2 +14x +49 + y^2 + 2y+ 1=289

or, x^2 + y^2 + 14x +2y-239=0

puttimg x=-15,

or, (-15)^2 + y^2 +14×(-15) + 2y -239=0

or, y^2 + 2y -239+225-210=0

or, y^2 + 2y -224=0

If you slove y, then you will get 14 and -16.

The radius of the circle is 17.

The point (-15, 14) lies on the circle.

Given that:

A circle is centered at the point (-7, -1) and passes through the point (8, 7).

That is:

Center of the circle = (-7, -1)

A point on the circle = (8, 7)

The equation of the circle is:

(x - a)² + (y - b)² = r²

Here (a, b) is the center and r is the radius.

Substituting the given center.

(x - -7)² + (y - -1)² = r²

(x + 7)² + (y + 1)² = r²

Substitute points (8, 7).

(8 + 7)² + (7 + 1)² = r²

r² = 289

r = 17

So, the radius of the circle is 17.

So, the equation of the circle is:

(x + 7)² + (y + 1)² = 289

Substitute x = -15.

(-15 + 7)² + (y + 1)² = 289

(y + 1)² = 225

y + 1 = 15

y = 14

Hence the radius is 17 and the point is (-15, 14).

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Answer:

2x - 3y < 7

Step-by-step explanation:

The coordinate is on 0 and this number is LESS THAN 0.

PLEASE MARK ME AS BRAINLIEST BECAUSE I REALLY NEED IT :(

The value of the given expression is equal to the  [tex]\frac{29b}{5}-3\frac{17}{30}[/tex].

We have given that,

[tex]5\frac{4}{5}b+6\frac{3}{4}-\left(2\frac{11}{15}+7\frac{7}{12}\right)[/tex]

We have to determine the,

[tex]=\frac{29}{5}b+6\frac{3}{4}-\left(2\frac{11}{15}+7\frac{7}{12}\right)[/tex]

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables.

[tex]=\frac{29}{5}b+\frac{27}{4}-\left(2\frac{11}{15}+7\frac{7}{12}\right)[/tex]

[tex]=\frac{29}{5}b+\frac{27}{4}-\left(\frac{41}{15}+7\frac{7}{12}\right)[/tex]

[tex]=\frac{29}{5}b+\frac{27}{4}-\left(\frac{41}{15}+\frac{91}{12}\right)[/tex]

[tex]=\frac{29b}{5}+\frac{27}{4}-\frac{619}{60}[/tex]

[tex]=\frac{29b}{5}-\frac{107}{30}[/tex]

[tex]=\frac{29b}{5}-3\frac{17}{30}[/tex]

The value of the given expression is equal to the  [tex]\frac{29b}{5}-3\frac{17}{30}[/tex].

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Answer:

22.5°

Step-by-step explanation:

The inscribed angle theorem tells us that the measure of an inscribed angle is half of the central angle swept out by the same arc. Here, the arc BD sweeps out a central angle of 45°, so the measure of angle BAD must be half that, or 45/2 = 22.5°

Answer:

(f * g)(2) =  -11√2 +66

Step-by-step explanation:

Points to remember

Let f(x) and g(x) be the two functions, then (f * g) can be written as,

(f * g) = [f(x)][g(x)]

To find the value of (f * g)(2)

we have,

f(x) = -5x - 1 and g(x) =√x - 6

f(2) = -5*2 - 1 = -11

g(2) = √x - 6 = √2 - 6

(f * g)(2) = [f(2)][g(2)]

 = -11 (√2 - 6)

= -11√2 +66

Therefore (f * g)(2) =  -11√2 +66

Answer:

a(8) = -0.0027

Step-by-step explanation:

The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.

Here, the formula becomes a(n) = 6*(-1/3)^(n-1).

Substitute 8 for n to find the eighth term:

a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027

The eighth term of the geometric sequence with the first term of 6 and a common ratio of -1/3 is -6/2187.

To find the eighth term of a geometric sequence, we can use the formula for the nth term of the sequence, which is given by an = a1rn-1, where a1 is the first term and r is the common ratio. In this case, the first term (a1) is 6 and the common ratio (r) is -1/3. To calculate the eighth term (a8), we substitute the values into the formula and get:

a8 = 6 ×(-1/3)8-1

a8 = 6 × (-1/3)7

a8 = 6 ×(-1/2187)

a8 = 6 ×(-1/2187) = -6/2187

Once we simplify, we find that the eighth term is -6/2187.

8+5+15+12+10= 50 / 5 = 10

Answer:

quadratic: y = x^2 + 4x + 4

Step-by-step explanation:

Notice that each y value is the square of an integer.

4 = 2^2

9 = 3^2

16 = 4^2

etc.

This is a quadratic equation.

The first ordered pair is (0, 4). 4 is 2^2, so add 2 to x and rthen square the quantity. (0 + 2)^2 = 2^2 = 4. This also works for the other values of x.

The equation is

y = (x + 2)^2

y = x^2 + 4x + 4

Answer: quadratic: y = x^2 + 4x + 4

Answer:

6

Step-by-step explanation:

first subtract 29 from 35, then you get the difference, which is 6!

Hello There!

We have an equation “35 - x = 29”

To solve this we can use addition.

29 plus some number = 35.

29+5 = 34 so add 1 more and you get 35.

X=6

Answer:

right triangle

Step-by-step explanation:

We know that the total angles of the triangle are 180 degrees:

(x) + (4x-10) + (2x+15) = 180

7x - 10 + 15 =180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175÷ 5 = 25

Now we calculate each angle

x=25

4x-10= (4*25) -10=100-10=90

2x+15=(2*25)+15=50+15=65

Because we have a right angle, then the triangle is right triangle

Answer:

right angle

Step-by-step explanation:

dont let the look of the triangle fool you

2.7 points (my guess)

Answer: The expected value of touchdown is 2.45.

Step-by-step explanation:

Since we have given that

Probability of making a field goal for 3 points = 90%

Probability of making a touchdown for 7 points = 35%

So, Expected value of a touchdown would be

[tex]\sum xp(x)=7\times \dfrac{35}{100}=\dfrac{245}{100}=2.45[/tex]

Hence, the expected value of touchdown is 2.45.

Answer:

9q + 15

Step-by-step explanation:

3g+5+3g+5+3g+5

Combine like terms

= 9q + 15

Answer:

15+9g

Step-by-step explanation: