Lean a is 6 years older than Hayden.The product of their age is 40. How old is hayden

Answer:

(7, 0).

Step-by-step explanation:

We have   y =  3(x - 7)

y = 3x - 21

Point-slope form is

y - y1 = 3(x - x1)

y  -  y1 = 3x - 3x1

Comparing this to the equation y = 4x - 21 we see that y1 = 0 and x1 = 7.

Answer:

(7,0)

Step-by-step explanation:

correct on edge

Answer:

a) The ball reaches it's maximum height after 3 seconds.

b) The maximum height of the ball is of 151 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

The height of the ball is modeled by:

[tex]h(t) = -16t^2 + 96t + 7[/tex]

So a quadratic equation with [tex]a = -16, b = 96, c = 7[/tex]

a) After how many seconds will the ball reach its maximum height?

t-value of the vertex. So

[tex]t_{v} = -\frac{96}{2(-16)} = 3[/tex]

The ball reaches it's maximum height after 3 seconds.

b) What is that maximum height?

h of the vertex.

[tex]\Delta = b^2 - 4ac = (96)^2 - 4(-16)(7) = 9664[/tex]

[tex]h_{v} = -\frac{9664}{4(-16)} = 604[/tex]

The maximum height of the ball is of 151 feet.

Answer:

150cm

Step-by-step explanation:

depth is 5 cm, so the area of one of the faces is 25 cm. theres 6 faces so 25*6= 150

Answer:

[tex]t = \sqrt{ {(5x - 2) {}^{2} + (6x + 7)}^{2} } [/tex]

Answer:

2355 cm^2

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 (3.14) (15)^2 (10)

V =2355

Answer:

A

Step-by-step explanation:

Point R is (1, 5).

The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.

Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:

[tex]R'=((1)+1, (5) -1)=(2, 4)[/tex]

Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:

[tex]R'=(3(2), 3(4))=(6, 12)[/tex]

Our answer is A.

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

9514 1404 393

Answer:

  J$180

Step-by-step explanation:

The ratio of the larger share to the total is ...

  3 : (2 +3) = 3 : 5

Then the larger share is ...

  (3/5)(J$300) = J$180

Answer:

It's A

Step-by-step explanation:

Because it's A

Answer:

A

Step-by-step explanation:

3 ∑ n=0 (-1/5)^n x 25 = 104/5

option A also = that so A

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

zyxwvutsrqponmlkjihgfedcba

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

2, 367

Step-by-step explanation:

142,020 / 5 = 28, 404

28, 404 / 12 = 2, 367

Answer:

ok so if it cost 2 dollars per guest here what that would look like

1 guest:2$

2 guest:4$

3 guest:6$

4 guest:8$

so she can invite 8 guest

Answer:

4 guest

Step-by-step explanation:

2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8

Answer:

410 is the answer

Step-by-step explanation:

subtract the two digits to get the left most digit of the solution. then add the two digits to get remainder of solution.

ex as we know 5-3=2 and 5+3=8 in the given question

5 + 3 = 28

The answer is 410.

How?

A+B =CD

C=(A-B) , D(A+B)

5 + 3 = (5-3)(5+3) = 28

9 + 1 = (9-1)(9+1) = 810

8 + 6 = (8-6)(8+6) = 214

similarly

7 + 3 = (7-3)(7+3) = 410

Answer:

3a-4ab-5

Step-by-step explanation:

(-ab+3a-3) - (3ab+2)

Distribute the minus sign

(-ab+3a-3) - 3ab-2

Combine like terms

3a-4ab-5

Answer:

[tex]-4ab+3a-5[/tex]

Step-by-step explanation:

Hi there!

[tex](-ab+3a-3) - (3ab+2)[/tex]

Open up the parentheses

[tex]-ab+3a-3- 3ab-2[/tex]

Combine like terms

[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]

I hope this helps!

Answer:

The independent is the weight of all the people already on the elevator and the dependent variable is the weight of the elevator after you get on.

Answer:

First fill in the blank answer - Dependent. Second fill in the blank - Indepenent

Step-by-step explanation:

So there are two different variables you need to know here:

The indenpenent variable - It is a variable that affects the dependent variable, however it can be changed in a experiment of project by the person.

The dependent variable - It is the variable that is affected by the independent variable, and varies throughout the expeirment.

In this case, the total weight after you get on depends on how heavy everyone else is before you get in the elevator.

This makes sense, because p cannot be changed, but with the addition of 132, effects the outcome, t.

So this means that the total wieght is the dependent variable.

The independent variable, on the other hand, changes to coutcome of how heavy to elevator is.

So this means the weight of the people in the elevator is the independent variable.

Hope this helps!

Answer: zero

Step-by-step explanation: For any horizontal or flat line, the slope is always zero

Answer:

It forms a cylinder.

Hope this helped.

Answer:

b) slope of the given line is m = - 3

Step-by-step explanation:

(x1 , y1 ) = ( 1 ,2 ) , ( x2 , y2 ) = ( 3, - 4 )

Slope m = y2 - y1

x2 - x1

m = - 4 - 2. = - 6 = - 3

3 - 1 2

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

Answer:

The answer is C.

Step-by-step explanation:

In order to solve the problem, we have to prove that triangle FCP and triangle WNP are similar triangles.

The fraction of NP to PF is 19/60.8 or 5/16 when simplified.

The fraction of WP to PC is 28/89.6 or also 5/16 when simplified.

Finally, angle FPC and angle WPN are equal to each other since they are opposite angles.

Hence, it proves that triangles FCP and WNP are similar to each other using Side-Angle-Side.

Since these two triangles are similar, the fraction of WN to FC is also 5/16.

Hence, the length FC is 26 * 16/5 = 83.2

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

hope this helps....

9514 1404 393

Answer:

  cos(210°) = -(√3)/2

Step-by-step explanation:

The terminal ray of a 210° angle is in the third quadrant. The angle it makes with the -x axis is (210° -110°) = 30°. This is the "reference angle". In the 3rd quadrant, the x-coordinate of the terminal ray's intersection with the unit circle has a negative sign. This will be the sign of the cosine of the angle.

__

The reference angle of 30° tells you that the trig functions of the angle can be found from the side ratios of the "special right triangle" with angles of 30°, 60°, and 90°. The side ratios, shortest to longest, in that triangle are 1 : √3 : 2.

The cosine of the angle is the ratio ...

  Cos = Adjacent/Hypotenuse

In the above special triangle, the side adjacent to the 30° angle is the one that is √3 ratio unis. The hypotenuse is 2 ratio units. So, the cosine of 30° is ...

  cos(30°) = (√3)/2

As we said above, the sign of the adjacent side of the reference angle for 210° has a negative value. (The hypotenuse is always considered to be positive.) Then the desired cosine is ...

  cos(210°) = -cos(30°)

  cos(210°) = -(√3)/2

Answer:

8 divided by two equals the radius 4

3.14*4^2=50.24

Hope This Helps!!!

Answer:

A. Helps scientists track weather

Step-by-step explanation:

Have you seen those weather guys on TV showing clouds and stuff, they got them via satellite or at least if there are animations, those are possible because they can see what the clouds or other stuff look like via satellites.

Answer:

Helps scientists track weather. Hope it helps, hun!

Stay happy-Lydia

Step-by-step explanation:

Answer:

70 apples

Step-by-step explanation:

We can use a ratio to solve

7 apples        x apples

--------------  = -------------

50 name     500 names

Using cross products

7 * 500 = 50x

Divide by 50

7 * 500/50 = 50x/50

70 =x

Answer:

70 apples he will have eaten after 500 names light writes in the death note.

Step-by-step explanation:

Given : -

To Find :-

Solution :-

Let be x is the no. of aaples will have eaten after light writes 500 names in the death note..

7 apples = 50 names

x apples = 500 names

Using cross multiplication method

7 × 500 = 50 × x

3500 = 50 x

Divide each side by 50

3500 / 50 = 50 x / 50

70 = x

Hence, 70 apples he will have eaten after 500 names light writes in the death note.