If a ball is thrown straight up with an initial velocity of 29.4 m/s, the
equation for the height "h" is given by h = -4.9t2 + 29.4t. When does the
ball return to the ground?

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

Answer:

5000

Step-by-step explanation:

[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]

Answer:

38 X -12y= (6+2n)x t(4-7) y

38 X-12y = 6 X +2nx + 4 y -7y

38x - 12 Y = 6x + 2nx -3y

32x -9y = 2nx

nx= 16x -4.5y

Answer:

n=16

Step-by-step explanation:

38=6+2n

2n=32

n=16

OR

-12=4-n

-n=-16

n=16

Answer:

y=-90

Step-by-step explanation:

y = kx

45 = k 3

k = 15

~~~~~~~~~~~~

y = 15*-6

y=-90

Answer:

36

We should write a formula for their relationship:

Y = x+42. <- this is what a direct varieation is I believe.

So, when x is -6, y is +42 aka 36

Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.

Answer:

With the information provided, we have to assume it was Rob, in the order Rob, Henry, Charles, Dale.

However, we don't know if there were other people in the race that were not mentioned, so we can only say he came in first of those four people.

===============================================

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

----------------

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

--------------------

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

----------------------

At this point, we have the system of equations

[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

Answer:

5) 2z - 15 = 9

2z.=9+15

2z =24

z =12

6) 4x-2 = 62°

4x=62°+2°

4x=64°

x=16

Step-by-step explanation:

5).2z-15=9 6).(4x-2°)=62°

2z=9+15 4x=62°+2°

2z=24 4x=64°

z=12 x=16

Answer:

12 hours

Step-by-step explanation:

Find 20% of 15 hours

15 * 20%

15 * .2

3

Subtract this because his hours are cut

15-3

12

Answer: 27.6

Step-by-step explanation:

tan 36 = 1/x

x =1/ tan 36 x = 1.38 which is your apothem

area of pentagon = 5x2x1.38/2 = 6.9

now do 6.9 x 4 = 27.6

The volume of the solid is 27.52 cubic yards

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a pentagonal prism

The base length of prism is 2yd

The height of prism is 4 yd

Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h

a is the base length and h is height

V = 1/4 √(5(5+2√5))4×4

V=27.52

Hence, the volume of the solid is 27.52 cubic yards

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:-23

Step-by-step explanation:

Answer:

y=-3x+2

Step-by-step explanation:

distribute and simplify

Step-by-step explanation:

Given that,

We are asked to calculate the value of f(7).

Substitute the value of x as 7 in the polynomial to find the value of f(7).

→ f(7) = 10 - 2(7)

→ f(7) = 10 - 14

→ f(7) = -4

Therefore, –4 is the required answer.

Answer: 60 ft

Step-by-step explanation: If you multiply 6 x 10 = 60 and there both in feet so the answer whould be 60ft

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

Answer:

D

Step-by-step explanation:

D. Fifty-nine point three zero

In decimals, this idea of zeros that don't add value to a number can be extended to trailing zeros. A trailing zero is any zero that appears to the right of both the decimal point and every digit other than zero.

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

Answer:

sorry

i

dont

know

how

to

do

it

Step-by-step explanation:

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

Step-by-step explanation:

the answer is in the above image

Answer:

tanA = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]13 - x \leqslant 10[/tex]

[tex]3 \leqslant x[/tex]

Answer:

the answer is c 123 m

bcoz perimeter of Pentagon is sum of 5 sides therefore 123/5 x. 5 = 123

Answer:

The third option; 123m

Step-by-step explanation:

The perimeter of a pentagon = 5S

5*123/5

Cancel the 5's

123m

Answer:

Step-by-step explanation:

pyramid = 9x8x9

rectangle = 7x8x9

total = (pyramid+ rectangle)

length x wide x hight

Answer:

11

Step-by-step explanation:

2(x + 1) - 3

Let x= 6

2(6+1) -3

Parentheses first

2(7) -3

Then multiply

14-3

Then subtract

11

Answer:

The new price for one pound of apples is $1.44

Step-by-step explanation:

A 10% discount from $1.60 is $0.16, which can be found by multiplying $1.60 by 0.10. To figure out the new price, use the equation: $1.60 - $0.16= $1.44