A rocket carrying fireworks is launched from a hill 80 feet above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h=-16t^2+64t+80.

1. what is the maximum height reached by the rocket?
2. how long will it take for the rocket to hit 128 ft? ​

Answer:

Let the no.be X

when multiplied by 4 = 4X

68-4X=3(X+4)

68-4X=3X+12

collecting like terms together,

7X=56

therefore; X=8

hence ,the number is 8.

Answer:

Slope: [tex]-\frac{3}{2}[/tex]

y-intercept: (0,1)

[tex]\left[\begin{array}{cc}x&y&0&1\\2&-2\end{array}\right][/tex]

here's the graph since the other knucklehead didn't add it

Answer:

8

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]

Answer:

8

Step-by-step explanation:

4x3 first = 12

then just do left to right

10+10=20

20-12=8

Answer: 45 items

Step-by-step explanation:

2 key chains in 5 bags so 2+2+2+2+2=10

Then it says 7 treats in each 5 bags so

7+7+7+7+7=35

So 10+35=45 so she had 45 items

And put 9 items in each bag

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer:

Use the point-slope form of a linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute given information into the equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]

Answer:

200.96

Step-by-step explanation:

So, we have to find the area of both.

The area for the mat is

(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.

So, 226.08

Next, the water bowl.

(3.14)4^2=50.24.

226.08-25.12=200.96

I may be wrong!

Answer:

2nd option I believe

Step-by-step explanation:

subtract 2 from both sides

Answer:

The first step is to subtract from both sides

Step-by-step explanation:

if you do this it's method of balancing equations whereby you have. 3x+2-2=17

Considering the vertex of the quadratic function, it is found that:

A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

In this problem, the function is given by:

y = 0.75x² - 13.5x + 57.75.

Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.

Thus, the minimum value is given by:

[tex]y_v = -\frac{(-13.5)^2 - 4(0.5)(57.75)}{4(0.75)} = -22.25[/tex]

Thus:

A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

Total red = 5

Total blue = 3

Ratio of red to blue = 5/3

answer: c. 5/3

Answer:

Proportionality constant k

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Answer: Proportionality constant k

Step-by-step explanation:

below?

Answer:

It walks 46.08 meters

Step-by-step explanation:

It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.

7.68 * 6 = 46.08

It walks 46.08 meters

Answer:

Yes

Step-by-step explanation:

2 7/8x8=23

So you would have enough and one oz left over.

Answer:

a,c,e.

Step-by-step explanation:

2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8

Answer:

32 and 56?

Step-by-step explanation:

32 and 56 are related to 8.

32=8x4

56=8x7

The number that would fill a whole number of packages of hamburger buns is 32 ad 56.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

18, 32, 44, 56

We need to find which number can be evenly divided by 8 because there are 8 hamburger buns in a package.

Now,

18 is not divisible by 8, because 8 x 2 = 16, and 18 is greater than 16.

32 is divisible by 8 because 8 x 4 = 32.

44 is not divisible by 8, because 8 x 5 = 40, and 44 is greater than 40.

56 is divisible by 8 because 8 x 7 = 56.

Therefore,

32 and 56 would fill a whole number of packages of hamburger buns.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer: 26

Step-by-step explanation: Multiply first then subtract 8(4)-(6) = 32 - 6 = 26

Answer:

26

Step-by-step explanation:

8a-b

Evaluate or substitute

8(4)-6

32-6

26

Answer:

24

Step-by-step explanation:

4+4+8+8

8 + `16 = 24

Answer:0

Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).

And also

Answer:

x = 142°

Step-by-step explanation:

The first thing you need to figure out is the missing interior angle of the triangle.

There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.

180° - 90° - 52° = 38°

Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).

So subtract the interior angle 38° from 180°

180° - 38° = 142°

Answer:

Answer is -1

have a nice hope it helps.

Answer:

Yes

Step-by-step explanation:

The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.

Answer:

y = 3x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.

-14 = 3(-4) + b

To find b, multiply the slope and the input of x (-4)

-14 = -12 + b

Now, add 12 to both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 3x - 2

This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)

Hope this helps!

Learn with another example:

https://brainly.com/question/27121082

The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

In statistics, a confidence interval is a range to estimate for unknown terms.

The most common level is the 95% confidence interval.

It can be calculated by

CI = Mean ± margin of error.

α = 1 - 0.95 = 0.05

α/2 = 0.025

z(0.025) = 1.96

We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]

[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645

So,

[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645

CI =1.26

C.I= 28±1.2652

Upper limit = 28+1.2652

                  =29.2625

Lower limit =28-1.2652

                   =26.7348

Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

Learn more about confidence intervals;

https://brainly.com/question/12899226

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

You multiply 12.30 x 22.5 and that = $276.75

1) Not Congruent

2) Congruent

3) Congruent

4)Congruent

Answer:

any angle that can give the 180 degree is the answer but these angle is found face to face each other

Answer:

[tex]\boxed{\sf{I=Prt}}[/tex]

Step-by-step explanation:

Here is the formula for simple interest:

[tex]\Longrightarrow:\sf{I=Prt}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

PRT/100

Step-by-step explanation:

To calculate the simple interest of a principle, use PRT/100, where:

Let's solve an example together.

Example (https://brainly.com/question/14162725):

Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.

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

Before we find the simple interest, let's convert the time into years.

⇒ 14 months = 1 year 2 months ≈ 1.17 years

To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.

⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100

⇒ (3)(15)(1.17)

⇒ 45(1.17) = $52.65

Thus, the interest is $52.65.

Answer:

x=4

Step-by-step explanation:

3x+8 = 20

subtract 8 both sides

3x=12

divide 3 both sides

x=4

Answer:

-x²+9x+13

Step-by-step explanation:

if your question is (-6x²+5)-(-5x²-9x-8)

-(-a-b)=(a+b)

=-6x²+5+5x²+9x+8

=-6x²+5x²+9x+5+8

=-6x²+5x²+9x+13

Then the answer is -x²+9x+13

Step-by-step explanation:

circumference = 2 pi r

2 × 3.14 × r = 527.52 yd

r = 527.52 × 1/2 × 1/3.14

r = 84 yd

Surface area = 4 pi r²

= 4 × 3.14 × 84²

= 88,623.36 yd²