The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by

Answer:

100 + 50m = 250

50m = 250 - 100

50m/50 = 150/50

m = 3

Alyson will have to save for 3 months to have a total of $250.

Answer: See explanation

Step-by-step explanation:

Sita bought a sofa set for Rs 30,000 and sold the sofa set at a loss of 5%. The loss on the sofa will be:

= 5% × 30000

= 5/100 × 30000

= 0.05 × 30000

= 1500

Selling price of the sofa = 30000 - 1500 = 28500

Sita bought a dining set for Rs 20,000 and made a profit of 5% on the dining set. The selling price of the dining set will be:

= 20000 + (5% × 20000)

= 20000 + (0.05 × 20000)

= 20000 + 1000

= 21000

The cost price of the sofa and dining set will be:

= Rs 20000 + Rs 30000

= Rs 50000

The selling price of the dining set will be:

= Rs 28500 + Rs 21000

= Rs 49500

The net result of the transaction is will be:

Selling price - Cost price

= 49500 - 50000

= -500

There's a net loss of $500

Answer:j

Step-by-step explanation:

12

3 4

 2 2

3 x 2x 2

18

9 2

3 3

2 x 3 x3

= 6

Answer:

6

Step-by-step explanation:

12 = 4 * 3 = 2 *2 * 3

18 = 2 * 9 = 2*3 *3

Highest common factor = 2 * 3 = 6

Answer:

The area is 2,600 cm^2

Step-by-step explanation:

The area of a rectangle is the product of its sides

And the difference between both areas is 1,400 cm^2 (P-Q)

Thus, we have it that;

40(3x-10) - (30(x + 15)) = 1,400

120x - 400 - 30x - 450 = 1400

120x -30x -400-450 = 1400

90x - 850 = 1400

90x = 1400 + 850

90x = 2,250

x = 2,250/90

x = 25

The area for painting P

is;

40 (3x - 10)

Substituting the value 25 for x

we have

40 ( 3(25) -10)

= 40(75-10)

40 * 65 = 2,600 cm^2

Answer:

x=35

Step-by-step explanation:

We know that sum of angles in a triangle=180

120

o

+25

o

+x=180

145

o

+x=180

o

x=35

o

Answer:

52.36

Step-by-step explanation:

Formula to find volume in a cone is

V = pi • radius^2 h/3

So we fill in the numbers

V = pi •

the radius is half of diameter,

The diameter is 5

So it's

V = pi • 2.5

since it's half of 5

V = pi • 2.5^2 h/3

the height is 8 so we fill it in

V = pi • 2.5^2 8/3

When calculated, you get..

52.36

The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]

Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.

Here, the diameter of the cone is 5 cm. thus the radius of the cone is,

[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]

The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,

[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]

Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

Learn more about the volume of solid here;

https://brainly.com/question/1355179

Answer:

132.4

Step-by-step explanation:

Answer: 4.19

v = 4/3 * 3.14 * 1^3

v = 4/3 * 3.14

v = 4.19

Answer c

Step-by-step explanation:

they have to be equivalent

Answer:Decay

Step-by-step explanation: because of perenthesis

Answer:

A bc it show that it travels 25 miles to the hour.

In other words Miles per hour= 25 to 1 hour

Step-by-step explanation:

Hope this helps :)

Answer:

Rachel would need 45cm of tape to wrap 15 presents.

Step-by-step explanation:

Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.

Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.

I hope this helps you in any way.

Answer:

Step-by-step explanation:

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.

Answer:

I think that the Linear system of equations can be used to find the cost.

Step-by-step explanation:

Answer:

2v + 1d = 105

and

1v + 4d = 80

Step-by-step explanation:

ken : 2v + 1d = 105

Jerome : 1v + 4d = 80

1v + 4d = 80 Try to get a video games by its self

   - 4d    -4d

1v = 80 - 4d    

Plug into kens equation..

2(80 -4d) + 1d = 105

160 - 8d + 1d = 105

-160                 -160

-7d = -55

/-7        /-7

d = 7.86 (rounded)

Plug into Jeromes equation

1(7.86) + 4v = 80

- 7.86            - 7.86

4v = 72.14

/4     /4

v = 18.035 (round = 18)

Answer:

$46.00

Step-by-step explanation:

$46.00 - $20 + $5 = $21

Answer:

Yo the answers B

√3/2

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

What percent of 9 is 18 = 200% and for the second part it is B.

Step-by-step explanation:

I just know that is the answer.

Answer:

7300    

  Step-by-step explanation:

I got it right  

Melanie would need to invest an amount of $7300.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

The final amount in a compound interest can be calculated using the formula,

A = P (1 + [tex]\frac{r}{n}[/tex] )^(n t)

Here A is the final amount, P is the principal value, r is the rate of interest, n is the number of times interest is compounded per year and t is the number of years.

Given,

A = $19,600

r = 5.2% = 5.2/100 = 0.052

Since it is compounded monthly, n = 12

t = 19 years

Substituting,

19,600 = P (1 + [tex]\frac{0.052}{12}[/tex])^ (12 × 19)

19,600 = P (1.0043)^(228)

19,600 = P (2.68)

P = 19,600 / 2.68

P = 7313.0767 ≈ 7300 to the nearest hundred

Hence the value of the account will reach $19,600 n 19 years if she invest an amount of $7300.

Learn more about Compound Interest here :

https://brainly.com/question/14295570

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Answer:

Step-by-step explanation:

aprils second answer was 8

Answer:

Your answer is 0.300 rounded to the thousands place.

Step-by-step explanation:

Hope this helps!

Answer:

181

Step-by-step explanation:

Area of a semicircle: 1/2 (pi • r^2)

1/2(3.14 • 100)

1/2 ( 314 )

157

Triangle:

(6 • 8) ÷ 2

48 ÷ 2

24

Add the area of the triangle & semicircle together: 157 + 24 = 181

Hope this helps! Have a great day!

Answer:

5,136

Step-by-step explanation:

because 1,712×3=5,136

Answer:

Step-by-step explanation:

Answer:

x12

Step-by-step explanation:

(x*x*x*x*x) *(x*x*x*x*x*x)

Answer:

1) 4 × 4× 4 = 64

2) 6⁴ = 1296

3) 25 = 25

4) 5² = 2

3) 3⁴= 81