Can somebody please help me, I’m stumped. Please explain easily too

Answer:

d its d

Step-by-step explanation:

The approximate maximum height that the rocket reaches is 25 feet.

Function is a type of relation, or rule, that maps one input to specific single output. Given two function f(x) and g(x) can be written as f(X) + g(X). It is the sum of two functions similar to the addition of any two polynomial functions

+ x -7.

We are given that;

Initial velocity of the rocket= 40 feet per second.

The height of the rocket after t seconds is given by the formula:

h(t) = -16t^2 + v0t + h0

where v0 is the initial velocity (in feet per second) and h0 is the initial height (in feet).

Since the rocket is launched from the ground, its initial height is h0 = 0. Substituting this and v0 = 40 into the formula, we get:

h(t) = -16t^2 + 40t

To find the approximate maximum height that the rocket reaches, we need to find the vertex of the parabolic function h(t) = -16t^2 + 40t. The vertex occurs at the value of t that maximizes the height, which is given by:

t = -b/2a

where a = -16 and b = 40 are the coefficients of the quadratic function. Substituting these values into the formula, we get:

t = -40/(2*(-16)) = 1.25

Therefore, the rocket reaches its maximum height after approximately 1.25 seconds. To find the maximum height, we can substitute this value of t into the formula for h(t):

h(1.25) = -16(1.25)^2 + 40(1.25) ≈ 25 feet

Therefore, by the given function answer will be 25 feet.

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Answer:

Here

Step-by-step explanation:

The time taken by Graham is approximately 4/127 hours, which is about 0.0315 hours or roughly 1 minute and 53 seconds, to drive one mile.

To find out how many hours Graham took to drive one mile,

simply divide the total time (1 1/3 hours) by the total distance (42 1/3 miles):

Total time = 1 1/3 hours

                 = 4/3 hours

Total distance = 42 1/3 miles

                        = 127/3 miles

Now, divide the total time by the total distance:

Time per mile

= (Total time) / (Total distance)

= (4/3 hours) / (127/3 miles)

Now, when you divide by a fraction, you can multiply by its reciprocal:

Time per mile

= (4/3 hours) × (3/127 miles)

= (4/127) hours per mile

Therefore, the total time Graham took approximately 4/127 hours to drive one mile.

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Answer:

8 - 2/x

Step-by-step explanation:

All you have to do is read the problem and then you will get your answer so as you see it say 8 - ok you get that now when it say the the quotient of two that means it’s is 2 over x so like the 2/x

eight minus the quotient of two and a number x

Hoped I Helped

Answer: I took a test, the answers C.

Step-by-step explanation:

If buying a dozen bagels for $2.39 also gets an additional bagel for free, the cost per bagel when rounded to the nearest cent is $0.18.

The subject of your question is on the topic of unit cost. In this case, we will be calculating the cost per bagel when you buy a dozen bagels for $2.39 and get an additional bagel for free.

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Final answer:

The volume of a cylinder with a radius of 4 units and a height of 8 units is 401.92 cubic units, calculated using the formula V = πr²h and rounding to the nearest hundredth.

Explanation:

Calculating the Volume of a Cylinder

To find the volume of a cylinder, we can use the formula V = πr²h, where 'V' represents the volume, 'r' is the radius, and 'h' is the height of the cylinder. Since you have provided that the radius (r) is 4 units and the height (x) is 8 units, we can substitute these values into the formula as follows:

V = 3.14 × (4 units)² × 8 units

First, we calculate the radius squared (4 units)²:

(4 units)² = 16 units²

Now we multiply this by the height and π as given:

V = 3.14 × 16 units² × 8 units

V = 3.14 × 128 units³

V = 401.92 units³

Therefore, the volume of the cylinder is 401.92 cubic units, rounded to the nearest hundredth.

If a rectangular prism has a lenght of 8 inches and a width of 7 inches. The lateral area is 150 square inches then the height of the rectangular prism is 5 inches.

To find the height of the rectangular prism, we'll first find the formula for the lateral area of a rectangular prism and then solve for the height using the given lateral area.

The lateral area of a rectangular prism is given by the formula:

[tex]\[ \text{Lateral Area} = 2 \times (\text{Length} \times \text{Height} + \text{Width} \times \text{Height}) \][/tex]

Given that the length is 8 inches, the width is 7 inches, and the lateral area is 150 square inches, we can substitute these values into the formula and solve for the height:

[tex]\[ 150 = 2 \times (8 \times \text{Height} + 7 \times \text{Height}) \][/tex]

[tex]\[ 150 = 2 \times (8\text{Height} + 7\text{Height}) \][/tex]

[tex]\[ 150 = 2 \times 15\text{Height} \][/tex]

Divide both sides by 2:

[tex]\[ 75 = 15\text{Height} \][/tex]

Now, solve for the height:

[tex]\[ \text{Height} = \frac{75}{15} \][/tex]

[tex]\[ \text{Height} = 5 \text{ inches} \][/tex]

So, the height of the rectangular prism is 5 inches.

The discount is $3.00 Why?  You need to multiply the cost of the sweater by the discount as follows:

15x0.2=3

We are given:  The cost of one flower bouquet =$ b.

The cost of one vase = $ v.

First florist bought: 2 flower bouquets and 2 vases.

2 *  cost of one flower bouquet + 2*cost of one vase = Total cost.

2b +2v = 12.50   ------------------------equation (1).

Second florist bought: 8 flower bouquets and 2 vases.

8 *  cost of one flower bouquet + 2*cost of one vase = Total cost.

8b +2v = 29.00    ------------------------equation (2).

Therefore, system of equations  we got is 2b +2v = 12.50  and 8b +2v = 29.00.

Subtracting first equation from second equation.

8b +2v = 29.00

-(2b +2v = 12.50)

____________________

6b = 16.50.

Dividing both sides by 6, we get.

b= 2.75.

Plugging b=2.75 in first equation we get

2(2.75) +2v = 12.50

5.50 +2v = 12.50

Subtracting 5.50 from both sides, we get

5.50-5.50 +2v = 12.50-5.50

2v = 7

Dividing both sides by 2, we get

v =3.50.

Therefore, cost of one flower bouquet is $2.75 and cost of one vase is $3.50.

Answer:

The heat added to the system.

Step-by-step explanation:

Given is a rectangular trampoline with dimensions 15 meters by 18 meters.

A pad of uniform width is fixed about the boundary of trampoline such that total area becomes 340 square meters.

It says to find width of the pad that is placed around trampoline.

Let's assume the width of pad = 'x' meters.

Now Length of trampoline with pad would be, L = 2x + 15 meters.

And Width of trampoline with pad would be, W = 2x + 18 meters.

Given is the Total area = 340 square meters.

We know the formula for area of rectangle is given as follows :-

Area of Rectangle = Length x Width

⇒ 340 = (2x+15)·(2x+18)

⇒ 340 = 4x² + 66x + 270

⇒ 4x² + 66x + 270 - 340 = 0

⇒ 4x² + 66x - 70 = 0

⇒ 2x² + 33x - 35 = 0

⇒ 2x² + 35x - 2x - 35 = 0

⇒ x·(2x + 35) - 1·(2x + 35) = 0

⇒ (x - 1)·(2x + 35) = 0

⇒ (x - 1) = 0 or (2x + 35) = 0

x can't be negative number, so x = 1.

Hence, x = 1 meter is the width of the pad.

Answer:

The width of the pad is [tex]1\ m[/tex]

Step-by-step explanation:

Let

x----> the width of the pad

we know that

[tex](15+2x)(18+2x)=340[/tex]

Solve for x

[tex]270+30x+36x+4x^{2} =340\\ \\4x^{2}+66x-70=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=1\ m[/tex]

see the attached figure

Answer:

There is moderate level of overlap between the two data sets.  

Step-by-step explanation:

Overlap of data sets.

We are given two data sets in the question.

We have to find the amount of overlap in data set 1 and in data set 2.

There are 8 data points in data set 1 as shown in the image.

There are 8 data points in the data set 2 as shown in the image.

Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.

Thus, we could say there is moderate level of overlap between the two data sets.

Answer:

Circumference of the circle to the nearest hundredth is, 69.08 cm

Step-by-step explanation:

Circumference(C) of the circle is given by:

[tex]C = 2\pi r[/tex]            .....[1]

where,

r is the radius of the circle.

As per the statement:

middle of circle is 11 cm

⇒[tex]r = 11 cm[/tex]

use [tex]\pi = 3.14[/tex]

Substitute these in [1] we have;

[tex]C = 2 \cdot 3.14 \cdot 11 = 69.08 cm[/tex]

Therefore, the circumference of the circle to the nearest hundredth is, 69.08 cm

The circumference of a circle with a radius of 11cm is 69.08cm, rounded to the nearest hundredth.

To estimate the circumference of a circle using π (Pi), you need to know the diameter of the circle which is twice the radius. Since you've mentioned the circle has a middle (radius) of 11cm, the diameter is 22cm. The formula for the circumference of a circle is C = πd, where d is the diameter.

Using the given approximation of Pi (π = 3.14), you can calculate:

C = 3.14 × 22cm

C = 69.08cm

Therefore, the estimated circumference is 69.08cm, which can be rounded to the nearest hundredth as 69.08cm.

John adds the outcomes of rolling two dice each showing numbers 1-6. In total, there are 36 possible outcomes when rolling two dice. The totals of the outcomes range from 2 to 12, with varying probabilities of each total.

John's activity involves the mathematical operation of adding the outcomes of two number cubes, also known as six-sided dice. Each die has six faces, numbered from 1 to 6. When you roll two dice, there are 36 possible outcomes (6 options from the first die multiplied by 6 options from the second die).

Each total has a certain probability of occurring, based on how many of the 36 possibilities will result in that total.

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Answer:

The correct answer is A).

Step-by-step explanation:

He have the quadratic functions f(x) = 16x²-240x+896. The first step should be to check if the coefficients 240 and 896 are divisible by 16, which is true. Then, extracting 16 as common factor we have

f(x) = 16(x²-15x+56).

Now we can use directly the formula to find the roots of a quadratic equation, or a more efficient way in terms of calculations. We must find to numbers such that their product is +56 and their addition or subtraction is -15. It is not difficult to check that -7 and -8 fulfill those conditions. Hence,

f(x) = 16(x²-15x+56)= 16(x-7)(x-8).

Therefore, the solutions are x=8 and x=7.

Answer:

$12 per hour

Step-by-step explanation:

To solve how much did Robin earned per hour you just have to do a simple equation, we know that he worked 9 weeks, and that each week he worked 40 hours, so you equation would look like this:

[tex]Income=(wageperhour)*(hours worked)[/tex]

The hours worked is just a math done by multiplying the weeks worked by the hours worked per week that would be:

[tex]Hours worked=Hours worked per week*weeks\\Hours worked=(40 hours)*(9 weeks)\\Hours worked=360 hours[/tex]

So now we just put the data into our equation

[tex]Income=(wageperhour)*(hours worked)\\$4320=(wageperhour)*(360)\\wage per hour=4320/360\\ Wage per hour= 12[/tex]