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The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

A rocket is launched into the air.

The projectile motion of the rocket can be modeled using

h(t) = 112t – 16t²

where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.

The time required for the rocket to be 196 feet in the air. Then we have

         112t – 16t² = 196

16t² – 112t + 196 = 0

  4t² – 28t + 49 = 0

On factorization we have

4t² – 28t + 49 = 0

(2t)² – 28t + 7² = 0

          (2t – 7)² = 0

             2t – 7 = 0

                      t = 3.5

Thus, the rocket will attain a height of 196 feet in 3.5 seconds.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

B. after 3.5 seconds

Step-by-step explanation:

i took the test

also:

196 = 112t - 16t²

-16t² + 112t - 196 = 0

4t² - 28t + 49 = 0

(2t - 7)² = 0

2t - 7 = 0

t = 7/2 = 3.5 sec

Answer:

A = 2/15 in^2

Step-by-step explanation:

To find the area of a rectangle, we multiply length times width

A = l*w

A = 2/5 * 1/3

A = 2/15 in^2

Answer:

[tex]\sf area=\dfrac{2}{15} \ in^2[/tex]

Step-by-step explanation:

Area of a rectangle = width x length

Given:

Substitute these values into the equation are solve:

[tex]\sf \implies area=\dfrac13 \times \dfrac25[/tex]

[tex]\sf \implies area=\dfrac{1 \times 2}{3 \times 5}[/tex]

[tex]\sf \implies area=\dfrac{2}{15} \ in^2[/tex]

Answer:

[tex]x\leq 4[/tex]

Step-by-step explanation:

Given:

[tex]-\frac{1}{2}x+8\ge 6[/tex]

Solve:

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{1}{2}x+8-8\ge \:6-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-\frac{1}{2}x\ge \:-2[/tex]

[tex]Multiply\:both\:sides\:by\:-1[/tex]

[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{1}{2}x\le \:2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]2\cdot \frac{1}{2}x\le \:2\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x\leq 4[/tex]

[tex]\mathrm{Therefore,}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

~lenvy~

Answer:

11, 1, -9, -49

Step-by-step explanation:

(Fill in the x value for each one then solve)

Function rule: y = -10x + 1

1. x = -1

fill in: y = (-10) -1 + 1

Solve: 11

Table way: x,y = -1,11

2. x = 0

fill in: y = (-10) 0 + 1

Solve: 1

Table way: x,y = 0,1

3. x = 1

fill in: y = (-10) 1 + 1

Solve: -9

Table way:  x,y = 1,-9

4. x = 5

fill in: y = (-10) 5 + 1

Solve: -49

Table way: x,y = 5,-49

Answer: sqrt(182)

Step-by-step explanation:

Explanation:

You can use the definition of similarity to show that corresponding sides are proportional. You cannot prove anything about the proportionality of non-corresponding sides.

1. BD║CE . . . . given

2. ∠A≅∠A . . . . reflexive property of congruence

3. ∠ABD≅∠ACE . . . . corresponding angles theorem

4. ΔABD ~ ΔACE . . . . AA similarity postulate

5. BD/CE = AD/AE . . . . definition of similarity

_____

Additional comment

Length DE is related to BC in the same way that AD is related to AB. There is no way to prove the ratio you show in your problem statement. You can show that ...

  DE/AE = (CE -BD)/CE = 1 -(BD/CE) . . . . the difference is proportional to the corresponding longer side

Answer:

x-1 is ur answer :)

Step-by-step explanation:

Answer:

if one gallon is 4.99, 20 gallons?

write a ratio to make it easier

gallon : price

1 4.99

20 x

cross multiply,

x = 20 × 4.99

x=99.8

1 foot = 12 inches

56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches

Answer:

4 feet and 8 inches

Step-by-step explanation:

To convert a high number of inches to feet you divide it by 12 since 12 inches makes 1 foot.

So 56÷12 = 4 reminder 8

The remainder we keep it as inches

So our answer is 4 feet and 8 inches.

Answer: c=4

Step-by-step explanation:

70-8.76c=34.96

-70             -70

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

-8.76c=-35.04

-35.04/-8.76 = 4

c=4

Answer:

11y + 7

Step-by-step explanation:

4y + 5 + 2 + 7y

4y + 7y + 5 + 2 <== combine the like terms

11y + 7

Hope this helps!

Answer:

11y+7

Step-by-step explanation:

4y+5+2+7y

combine like terms

5+2=7

then you have

4y+7+7y

combine the y's

4y+7y=11y

then you got

11y+7  

Answer: 358

Explanation:  370 - 12 = 358

Answer:

no it has to be the same length

Step-by-step explanation:

it has to be the same

Calculate distance of G from x and y axis(1 box=1unit)

So

the coordinate is

Answer:

(5,8)

Step-by-step explanation:

x=5

y=8

(x,y)= (5,8)

4x + y = 0

-x - 2y =7

with - x - 2y = 7

we have x = -2y - 7

we replace x by this value in the first one

4 * (-2y - 7) + y = 0

- 8y - 28 + y = 0

- 7y = 28

y = 28/(-7)

y = - 4

since  4x + y = 0

we have 4x + (-4) = 0

4x = 4

x = 1

(1 ; -4)

Answer: C

Step-by-step explanation:

They are substituting PQ=25 from steps 1 and 3.

Answer:

0

Step-by-step explanation:

it less than 4 so u can't pick 4,so it is any number less than 4

Answer:

B) 0

Step-by-step explanation:

The open circle on 4 and the arrow pointing to the left means x < 4

x < 4 means that x is smaller than 4

4 = 4   incorrect as this says 4 is equal to 4

0 < 4   CORRECT as zero is smaller than 4

5 > 4   incorrect as 5 is bigger than 4

4.5 > 4   incorrect as 4.5 is bigger than 4

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

These are all of the steps

Answer:

10% of 210 is 21

Step-by-step explanation:

The 1 in 10% is much help. Move the decimal point one place to the right.

I know this is not much, but I hope this helps :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's write the equation in standard form ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} - 2y - 15 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y + 1 = 15 + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} +( {y}^{} - 1 ) {}^{2} = 16[/tex]

Now, it's the required form of circle ~

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

Step-by-step explanation:

Step by Step Solution



STEP1:Equation at the end of step 1

STEP2:

22b5 Simplify ———— 9b

Dividing exponential expressions :

 2.1    b5 divided by b1 = b(5 - 1) = b4

Final result :

4b4 ——— 9

The end behavior of [tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex] is how its value changes as x changes

The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]

The function is given as:

[tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex]

The above function is a cube root function.

A cube root function has the following properties:

This means that the end behavior of the function is:

[tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]

Read more about function end behaviors at:

https://brainly.com/question/1365136

Answer:

The answer is A

Step-by-step explanation:

Had taken the test

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

Answer:

6.5

Step-by-step explanation:

all you have to do is substitute x with 2.5 in the equation and you can find y.

Answer:

$0.90

Step-by-step explanation:

0.0725(12.40) = 0.899
0.899 = 0.90
Hope this helps :)

Answer:

The perimeter is 2 times greater.

Step-by-step explanation:

Answer:

The area of a triangle is 14 cm square.

Step-by-step explanation:

Given : The expression  gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.

To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?

Solution :

The area of triangle is  

Where,b is the base b=7 cm

and h is the height h=4 cm.

Substitute in the expression,

Therefore, The area of a triangle is 14 cm square.

By evaluating the given relation, we conclude that the correct options are A, D, and G.

We have the relation:

k = ∛(V/7)

Such that this relation gives us pairs of the form (V, k).

So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.

A) (0, 0) gives:

Evaluating in V = 0

k = ∛(0/7) = 0

So this point belongs.

B) (1, 1) gives:

k= ∛(1/7) = 0.52

So we have the point (1, 0.52) and the point  (1, 1)  then does not belong to the graph.

We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.

With this method, we will see that the correct options are:

D) (7, 1)

k= ∛(7/7) = 1

G) (56, 2)

k= ∛(56/7)  =   ∛(8) = 2

If you want to learn more about evaluations, you can read:

https://brainly.com/question/4344214