The housing sales measured in millions of dollars, M, of a rural city, can be modeled by the function M(t) = -35cos(0.524t) + 55, where t represents the number of years since 2020. What characteristics of M(t) are true?
I. The first time the housing sales will reach their maximum will be in 2030.
II. Housing sales are expected to increase from 2020 to 2021.
III. The range is (20,90).

Given:

Radius of the base of the cone = 12 in.

The slant height of the cone = 15 in.

To find:

The lateral surface area of the given cone.

Solution:

The lateral surface area of the cone is:

[tex]LA=\pi rl[/tex]

Where, r is the radius of the base of the cone and h is the slant height of the cone.

Putting [tex]r=12,h=15[/tex], we get

[tex]LA=\pi (12)(15)[/tex]

[tex]LA=180\pi[/tex]

The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.

Answer:

Lateral is 180π

SURFACE AREA IS 340π

Step-by-step explanation:

Answer:

1. Y=2

2.A=1.3

5.p=28/3

Step-by-step explanation: make me brainliest

Answer:

-0.9

Step-by-step explanation:

hope this helps lovely! lmk if you need an explanation!

Answer:

Step-by-step explanation:

This is a cube so the formula for the volume of a square is a³ = Volume

This means:

5³ = V

V = 125in³

Answer:

125 in^3

Step-by-step explanation:

b/c

v=L×w×h

V=5 in×5 in×5 in

v=125 in^3

Answer: $1.57

Step-by-Step Explanation:

Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).

So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.

Here’s how we solve:

1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085

2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725

3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57

4. Our answer for the tax amount charged in money is $1.57

Hope this helps!

Answer:

there are 20 boys and 12 girls

Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 - 4/8

4/8 + 3/8 = 7/8

n = 4/8

hope this helps

Answer:

25920

Step-by-step explanation:

you do lxwxh

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

Answer:

178  1/2  inches cube

Step-by-step explanation:

Volume = length * width * height

           = 8 1/2  * 5 1/4  *  4

           =  17/2  * 21/4    * 4

            = 1428 / 8

             =357/2

          = 178  1/2  inches cube.

Answer:

D)  3x²y

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

The horizontal axis is the x axis.

I don't really know what your school wants in the blank but here's what I think it is:

The horizontal axis on the coordinate grid is the x axis.

Hope this helps! let me know if its right!

Answer:

Step 1:

What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

        0=a(4-24)^2+50

       -50=a(4-24)^2

        4-24

       -20^2=400

        -50=a(400)

       -50=400a

         -50/400=-0.125

         a = -0.125

B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

                                               f(x) = a(x-h)^2 +k

b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure about this one...?

c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The graph that completes the question is added as an attachment

These are the vertex and the intercepts of the graph.

The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.

From the graph, we have:

A quadratic function is represented as:

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

Where:

vertex = (h,k)

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Hence, the value of the coefficient a is -0.32

So, the equation in vertex form is y = -0.32(x - 25)^2 + 32

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ6

Answer:

7, 6, 5 , 4, 3 , 2 , or 1

Step-by-step explanation:

Any of those numbers because they are below 8, and will make the number on the left lesser than the number on the right.

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

[tex]f(-x) = 2(0.4)^{-x}[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

https://brainly.com/question/12619643

Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.

Hope it helps! :D

Answer:

Step-by-step explanation:

So we know that a straight line adds up to 180 degrees.

This means that:

52+59+y = 180

y + 111 = 180

y = 69

We also know a triangle also adds up to 180 degrees.

This means that:

y+x+63 = 180

69+63+x = 180

x + 132 = 180

x = 48

3/4 + 5/7

= 21/28 + 20/28

= 41/28

= 1 13/28

Answer:

3/4 + 5/7 = 41/28  = 1 13/28 ≅ 1.4642857

Step-by-step explanation:

3/4 + 5/7 = 41/28  = 1 13/28 ≅ 1.4642857

Spelled result in words is forty-one twenty-eighths (or one and thirteen twenty-eighths).

Answer:

sqrt(26) units

Step-by-step explanation:

Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d is the distance, and (x1, y1) and (x2, y2) are the points.

d=sqrt((4-(-1))^2 + (2-3)^2)

 =sqrt(5^2 + (-1)^2)

 =sqrt(25+1)

 =sqrt(26)

Answer:

12.5%

Step-by-step explanation:

There are two types of spinners here and the outcome of them is independent. That means

P(odd number,C) = P(odd number) * P(C)

There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:

P(odd) = 2/(2+2)= 1/2= 50%

There are four letters and the desired outcome is C. The chance for C will be:

P(C)= 1/4= 25%

Then the chance will be:

P(odd number,C) = P(odd number) * P(C)

P(odd number,C) =50% * 25% = 12.5%

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = [tex]\frac{225}{5}[/tex] = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Step-by-step explanation:

firat one 50.24

second one 63.585

Answer:

(a - 3) • (a - 4)

Step-by-step explanation:

The first term is,  a2  its coefficient is  1 .

The middle term is,  -7a  its coefficient is  -7 .

The last term, "the constant", is  +12

Multiply the coefficient of the first term by the constant   1 • 12 = 12

Find two factors of  12  whose sum equals the coefficient of the middle term, which is   -7 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7    That's it

Rewrite the polynomial splitting the middle term using the two factors, -4  and  -3

                    a2 - 4a - 3a - 12

Add up the first 2 terms, pulling out like factors :

                   a • (a-4)

             Add up the last 2 terms, pulling out common factors :

                   3 • (a-4)

Add up the four terms

                   (a-3)  •  (a-4)

Really hope this helps :)

Answer:

5 miles

Step-by-step explanation:

10 miles in 2 hours

so the half in 1 hour; 5 miles

Answer:

10 Hope this helps, report the other answer that had this link: fastshorter.ml/5Gh3

Don't listen to that

Step-by-step explanation: I don't post links that are unhelpful, that'll get me in trouble

Answer: 1 3/4 × 1 1/2

Step-by-step explanation:

Since Harry needs 1 3/4 cups of flour for one batch of cookies, but he wants to make 1 1/2 batches, the equation that can be used to find how many cups of flour Harry will need will be:

= (1 3/4 / 1) × 1 1/2

= 1 3/4 × 1 1/2

Therefore, to make 1 1/2 batches, the cups of flour needed will be:

= 1 3/4 × 1 1/2

= 7/4 × 3/2

= 21/8

= 2 5/8 cups of flours.