At the beginning of a population study , a city had 370,000 people. Each year since the population had grown by 7.9%. Let t be the number for years since start of the study. Let y be the city’s population. Write an exponential function showing the relationship between y and t

Answer:

Length of the pole = 12.2ft

Step-by-step explanation:

Hello,

According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.

See attached document for better illustration.

To solve this problem, we'll have to make use of pythagorean theorem

According to pythagorean theorem,

X² = y² + z²

X = ?

Y = 10ft

Z = 7ft

X² = 10² + 7²

X² = 100 + 49

X² = 149

X = √(149)

X = 12.2ft

The length of the pole is 12.2 ft

Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.

Good luck

Answer:

14.50 because you need to divide the total amount by 2 and then you have the remaining

The cost of a lion toy is $12

An equation between two variables with a constant in the form of ax +by =c is called a linear equation.

Given the cost of 4 bear toys and a lion toy is $70.

And If the cost of a lion toy and 2 bear toys is $41,

Write a linear equation for the above equation

4B +1L =70

2B +1L =41

By solving the above equations we get B= $14.5 and L=12

Thus the cost of a bear is $14.5 and cost of a lion is $12.

To know more about linear equation click here

https://brainly.com/question/21835898

#SPJ2

Answer: C

Step-by-step explanation:

We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.

Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.

Answer:

1

Step-by-step explanation:

Plug in the x value.

3(5)-14

3(5)=15

So then you do 15-14

Which equals to 1

Hope this helps! Plz mark brainliest!!

Answer:

1

Step-by-step explanation:

1. 3(5)-14     first substitute

2. 15-14

3. 1

Answer:

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

Step-by-step explanation:

The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:

[tex]circumference = 2*\pi*r[/tex]

Where the radius is half the diameter, applying the data from the problem we have:

[tex]circumference = 2*3.14*10 = 62.8 \text{ ft}[/tex]

The area of the circle formed by the pool can be found using the following expression:

[tex]area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2[/tex]

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

Answer:

Triangle (A) reflected over the line y = x

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of triangle (A) are A(1, 4), B(1, 2) and C(2, 2)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(4, 1), B'(2, 1) and C'(2, 2)

Lets choose point A to find the rule of transformation,

A(1, 4) → A'(4, 1)

Rule → (x, y) → (y, x)

It shows triangle (A) has been reflected across a line y = x.

Therefore, triangle (A) maps onto triangle (B) when reflected over the line y = x.

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

Answer:

5

Step-by-step explanation:

5^3=125

So the cube root of 125 is 5.

[tex]8.92 \times 10^6[/tex]

[tex]8920000[/tex]

Answer: 945.52

Step-by-step explanation:

Answer:

m = - 3 and b = - 3.

Step-by-step explanation:

A system of linear equations will not have solutions if the two lines are parallel.

Two equations are parallel:

1. if their slopes (m) are equal

2. the y-intercep (b) are different.

As y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be  - 3, and the value of b need to be different to 5.

The only pair from the choices that meets that is the first option m = - 3 and b = -3.

Answer:

m = -3, b = 5

Step-by-step explanation:

The values m = -3 and b = 5, forms a linear equation: y = -3x + 5. This obviously coincides with the original equation given, and so will create a system of linear equations with no solution.

Answer:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

Step-by-step explanation:

Notice that you are expected to use some type of regression tool for this problem. either a computer program or a handheld graphing calculator with such functionality.

I have entered the set of data points in two separate lists, one for the x-values,and another one for the y-values, and run the linear regression tool in order to get the best fitting line. See what I obtained using this tool in the screen capture I am attaching below.

Notice that the line of best fit reads:

y = 1.56015038 x - 4.10526316

showing clearly the slope and y-intercept of the line of best fit.

Rounding slope and y-intercept to the third decimal, we get:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

Answer:

There are 320 boys

Step-by-step explanation:

boys: girls : total

4         5         4+5 = 9

Take the total and divide by 9

720/9 = 80

Multiply each term by 80

boys: girls : total

4*80  5*80    9*80

320    400    720

There are 320 boys

Answer:

324 boys

Step-by-step explanation:

Add the ratio, 4+ 5 = 9 and divide 720 with nine. Then multiply that value, 81, with 4 to find the number of boys, and multiply with 5 to get the girls

Answer: 17 feet

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

11.4-15.7 = -4.3

Answer:

A. -4.3 F

Step-by-step explanation:

Originally you started with 11.4 F, and the question said it decreased by 15.7 F so that basically means you subtract the final condition from initial,

11.4 F - 15.7 = -4.3 F, so at night it was -4.3 F cold.

If you think about this question in terms of apples. Originally I gave you 12 apples to keep for a day. When I returned home at 7pm the numbers of apples decreased by 8. So bascially my final apples will be 12- 8 = 4 apples remaining.

Answer:

Yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

5+7 > 10  true

7+10 > 5  true

10+7 > 5  true

Then the three sides form a triangle

So the right answer is (2,-5)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Midpoint (2 , -5)

Step-by-step explanation:

RULE: (midpoint)

Consider P(x1,y1)and Q(x2,y2) two points:

the midpoint M(x,y) of the segment PQ is defined like this:

[tex]x = \frac{x1+x2}{2} \\\\y=\frac{y1+y2}{2}[/tex]

In our case

x1 = 6 ; y1 = -3

x2 = -2 ; y2 = -7

then

[tex]x = \frac{6+(-2)}{2} =2\\\\y = \frac{(-3)+(-7)}{2} =-5[/tex]

Answer:

Step-by-step explanation:

[tex]V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93[/tex]

In terms of pi

[tex]V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\[/tex]

Answer:

Hope it helps :]!!!!!!!

Answer:

(A)

Step-by-step explanation:

As you can see, the figure can be divided into a square of side 2cm and a rectangle of sides 5cm and 3cm so we find the area of both and add.

Area of the square

= 2x2 = 4cm^2

Area of the rectangle

= lxb

= 3x5

= 15 cm^2

Therefore the area of the entire figure

= Area of square + area of rectangle

= 15+4

= 19 cm^2

So the correct option is (a)

Hope this helps:)

Answer:

Option 1

Step-by-step explanation:

I broke the figure up into two shapes. One of them was a square and the other one was a big rectangle. I calculated the two areas and added them back together.  My work is attached in the picture.

Area of a square is: s^2

's' -side length

Area of a rectangle is: b * w

'b' - base or length

'w' - width

The area of the figure should be 19cm².

Answer:

answer is 12

Step-by-step explanation:

because 5×4=20

so u have to multiply 4 and three

3×4=12

and u can reduce it to

6/10 and reduce it again to

3/5

Answer:

B-1

Step-by-step explanation:

You can draw a vertical line of symmetry in the middle of the figure. This would be one line.

Answer:

  H(t) = -10·cos(t/20) +20

Step-by-step explanation:

The range of heights is ...

  30 m - 10 m = 20 m

The amplitude of the cosine function is half that, or 10 m. Here, the function starts off at a minimum, whereas the parent cosine function starts at a maximum. That means the parent function is reflected vertically, so the amplitude coefficient in H(t) is negative.

The midline of the cosine function is the average of the extreme heights, so is ...

  midline = (30 m +10 m)/2 = 20 m

The period of the function is double the time it takes to go from a minimum to a maximum, so is ...

  p = 2(20π) = 40π . . . . seconds

In the given function form ...

  H(t) = a·cos(bt) +d

the amplitude is a=-10; the coefficient b is 2π/p = 1/20; and the midline is d = 20. Then the function is ...

  H(t) = -10·cos(t/20) +20

Answer:

Option C is the correct answer.

Step-by-step explanation:

[tex] \angle C[/tex] is opposite [tex] \overline{AB} [/tex]

Answer:

Bruh its not that hard, but ill answer it. answer is below

Step-by-step explanation:

Divide y by 9 then subtract z from the result

We know that y divided by 9 is y/9

and the you subtract z from it: y/9-z

but i think that since it says "subtract z FROM THE RESULT"

I think it is

(y/9)-z

Answer:

√(30) - 3√(2) + √(55) - √(33) / 2

Step-by-step explanation:

Answer:

His new balance will be $1,266.15

Step-by-step explanation:

Answer:

B. 20

Step-by-step explanation:

60 = 2x + 20

40 = 2x

40/2 = 2x/2

20 = x

Hope this helps :)

Answer:

B. 20

Step-by-step explanation:

Answer:

Lisa's text average is 86 :))

Step-by-step explanation:

add all numbers up then divide them by 3.

Answer:

83.7 %

Step-by-step explanation:

To get the area of the shaded region, we will following these steps.

Step one: Get the area of the sector of the circle.

The area of the sector of the circle can be obtained using the formula:

[tex]Area = \frac{\theta}{360}\times \pi r^{2}[/tex]

Theta will be 60 degrees because triangle OAD is an equilateral triangle

Hence, [tex]Area = \frac{60}{360}\times \pi \times 9^{2}= 42.42cm^{2}[/tex]

Step Two: Get the area of the equilateral triangle

The area of the equilateral triangle can be got using the formula

[tex]Area = \frac{1}{2} Base \times Height[/tex]

The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.

This will be [tex]height =\sqrt{4^{2}-2^{2}} =3.46cm[/tex]

Thus [tex]Area = \frac{1}{2}\times 4\times 3.46=6.93cm^{2}[/tex]

Step Three: Subtract the area of the triangle from the area of the sector

Area of the shaded portion = [tex]42.42cm^{2}-6.93cm^{2}=35.49cm^{2}[/tex]

Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:

Expressing the ratio of the two areas as a percentage, we have

[tex]\frac{35.49}{42.42} \times 100\approx 83.7 %[/tex] %

Answer:

The temperature in Tucson is [tex]12\,^{\circ}C[/tex].

Step-by-step explanation:

Let be [tex]T[/tex] and [tex]-T[/tex] the temperatures registered in Tucson and Minneapolis, respectively. The difference between both temperatures is:

[tex]T - (-T) = 24\,^{\circ}C[/tex]

[tex]2\cdot T = 24\,^{\circ}C[/tex]

[tex]T = 12\,^{\circ}C[/tex]

The temperature in Tucson is [tex]12\,^{\circ}C[/tex].

Answer:

The temperature in Tucson is 12°C, and that of Minneapolis is -12°C.

Step-by-step explanation:

Let the temperature in Tucson = T

And the temperature in Minneapolis = -T. Because the temperatures are opposites.

Since we know that it is 24°C warmer in Tucson that it was in Minneapolis, then

T - (-T) = 24

T + T = 24

2T = 24

T = 24/2

= 12

Therefore, the temperature in Tucson is 12°C, and that of Minneapolis is -12°C.