100 points
whats 9 times 3 plus 3 divided by 2

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet

Answer:

I think it is this but I haven't done factors in a long time

for 21:

1, 3, 7 and 21

for 63

(1, 63), (3, 21) and (7, 9).

hope this helps!

Answer:

Plot it at (4,-0.5)

Step-by-step explanation:

Answer:

-4, -0.5

Step-by-step explanation:

Answer: t + 70

Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

Answer:

6560lbs

Step-by-step explanation:

Let total number of questions be x.

According to the question,

80% of x is 32

or 80/100 × x = 32

or x = 32 ÷ 80/100

or x = 32 × 100/80

or x = 32 × 10/8

or x = 4 × 10

or x = 40

So, total number of questions is 40.

Answer:

154

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 10 - 7 = 3 , thus

a₅₀ = 7 + (49 × 3) = 7 + 147 = 154

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

Answer:

??????????????????????

Step-by-step explanation:

Answer: Distributive Property

The term "distribution" is also used in place of "distributive"

This property says

x*(y+z) = x*y + x*z

We multiply the outer term x with each inner term (y and z). Then we add the results.

In this case,

x = 5

y = a

z = 3b

So,

5(a+3b) = 5*a + 5*3b = 5a+15b

Answer:

hello

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

(not my answer)

Answer:

The first one

Step-by-step explanation:

They have 2 outputs for the same input

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

Answer:

17×15=255

Step-by-step explanation:

you do base times height

Answer:

I got -45.1 but idek if its right or not

Answer:

-45.1

Step-by-step explanation:

-6*7.1 + 2.5

-42.6 + 2.5

= -45.1

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

Answer:

t = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

10t - 19 = 7t - 14

Subtract 7t from both sides;

3t - 19 = -14

Add 19 to both sides;

3t = 5

Divide both sides by 3;

t = [tex]\frac{5}{3}[/tex]

Answer:

62

Step-by-step explanation: