3 (2) ^2 divide [3 x 2] - 5__________________ 8 divide 4 x 2

The rocket arrives at its most extreme level at 1.5 seconds after send-off will be 39 feet.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A toy rocket is shot upward up high from a take-off platform 3 feet over the ground with an underlying speed of 48 feet each second. The level h, in feet, of the rocket over the ground at t seconds after send-off is given by the capability h(t) = - 16t² + 48t + 3.

Differentiate the function and put it equal to zero.

h'(t) = 0

-32t + 48 = 0

32t = 48

t = 1.5 seconds

Then the maximum height is given as,

h(1.5) = - 16(1.5)² + 48(1.5) + 3

h(1.5) = 39 feet

The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.

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9(5 - y)

EXPLANATION

Difference means subtraction.

This implies that the difference of 5 and y can be expressed as 5 - y.

Hence, nine times the difference of 5 and y can be represented as:

9(5 - y)

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given ratios

STEP 2: Add the ratios

STEP 3: Calculate the earnings of each of them

Erin's

Kim's

Megans's

Hence, the earnings are given as:

Erin's: $1099.34

Kim's: $12825.62

Megan's: $855.04

Although it is true that only the x-axis is affected, that is, on the horizontal, when multiplying by a number less than 1, there would not be a stretch but a narrowing.

That is, the horizontal part would be smaller, which contradicts what Richard says.

Check the picture below.

Explanation:

Associative properties for multiplication is stated as follows:

(a * b) * c =

The size of angle x is 34.84°

What is right angled triangle ?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

To find the value of x we will use the trigonometric formula

sin x = [tex]\frac{opposite}{hypotenuse}[/tex]

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex]

tan x = [tex]\frac{opposite}{adjacent}[/tex]

cosec x = [tex]\frac{1}{sin x}[/tex]

sec x = [tex]\frac{1}{cos x}[/tex]

cot x = [tex]\frac{1}{tan x}[/tex]

As we know the value

hypotenuse = 14cm

opposite side = 8cm

∴ sin x = [tex]\frac{8}{14}[/tex]

           = [tex]\frac{4}{7}[/tex]

       x  = 34.84°

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Answer:

angle x =34.8°

Step-by-step explanation:

sinX=opposite/hypotenuse this means  sin(θ) is the ratio of the opposite side to the hypotenuse

so, to solve this problem we have to find the value of sin X then we can get the value of X.

Let sin X = 8/14

               =0.571

SO, X =sin-1(0.571) =34.8°

[tex]\left \{ {{y=5x} \atop {y=4x+1}} \right.[/tex]

answer is option 2 : (1, 5) because:

when x = 1 , y should = 5:

[tex]\left \{ {{y=5x} \atop {y=4x+1}} \right.\\\\\left \{ {{y=5(1)} \atop {y=4(1)+1}} \right.\\\\\left \{ {{y=5} \atop {y=5}} \right.[/tex]

Answer:

f(x)=x2 f ( x ) = x 2

Step-by-step explanation:

Check the picture below.

The symbol ∼ denotes similarity, that is, the triangles ABC and XYZ are similar. When two triangles are similar, they have the same shape but not necessarily the same size and their corresponding angles are the same. In turn, the corresponding sides of two corresponding triangles are in the same ratio. Graphically,

So to find x in the small triangle, you have

Finally, to find b in the large triangle, you have

Therefore, the lengths of the sides x and b are

When we have an inverse function, the domain and range are switched.

All x-coordinates become y-coordinates and vice-versa.

So, if the point (-7, -5) is a solution of h(x), the point (-5, -7) is a solution of h^-1(x)

If the point (-1, -2) is a solution of h(x), the point (-2, -1) is a solution of h^-1(x).

Therefore, the endpoints of the segment that represents the inverse function are the points (-5, -7) and (-2, -1).

Answer:

Step-by-step explanation:

b/c we can fairly say,  that the parallelgram is also a rectangle of size 24 x 11, we can just solve that area

24*11= 264

We can see, this is a parallelogram.

The formula to calculate the area of a parallelogram is b x h, where b is base and h is height.

Given that base = 24 in, height = 11 in, we can calculate the area as : 24 x 11 = 264 in2.

The graph of the polynomial function shows the factored form of the

related polynomial, the factored form is (x+2)(x-2).

The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.

The x-intercepts here are x= -2 and x= 2.

Then the factors are x+2 and x-2.

So the factored form is (x+2)(x-2).

Therefore, The graph of the polynomial function shows the factored form of the related polynomial, the factored form is (x+2)(x-2).

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Answer:

perimeter is 7.5 units

Step-by-step explanation:

the sides of the regular polygon are the same length , then

5x - 6 = 3)x - 1)

5x - 6 = 3x - 3 ( subtract 3x from both sides )

2x - 6 = - 3 ( add 6 to both sides )

2x = 3 ( divide both sides by 2 )

x = 3 ÷ 2 = 1.5

then length of one side is

5x - 6 = 5(1.5) - 6 = 7.5 - 6 = 1.5 units

then perimeter = 5 × 1.5 = 7.5 units

Answer:

see explanation

Step-by-step explanation:

A base angle

B leg

C vertex angle

D leg

E base angle

F base

in any isosceles triangle there are 2 congruent legs and 2 congruent base angles.

the base angles are opposite the congruent legs

the remaining side, the base is the 3rd side of the triangle

the vertex angle is formed by the 2 congruent legs

the mode is 5 i don't understand what the the other part is

For the given equation the value of x is, x = 12.

What is solving an equation?

Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics. One or more variables are identified as unknowns when looking for a solution.

Consider, the given equation[tex]\frac{2}{3}x - 1=9-\frac{1}{6}x[/tex]

Add 1 on both sides,

[tex]\frac{2}{3}x -1+1 = 9-\frac{1}{6}x+1\\ \frac{2}{3}x=10-\frac{1}{6}x[/tex]

Add 1/6(x) to both sides,

[tex]\frac{2}{3}x + \frac{1}{6}x = 10 - \frac{1}{6}x+\frac{1}{6}x\\ \frac{5}{6}x = 10[/tex]

Multiply both sides by 6/5

[tex]\frac{5}{6}x (\frac{6}{5}) = 10(\frac{6}{5}) \\ x = 12[/tex]

Hence, the value of x is, x = 12.

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Answer:

Bot 4

Step-by-step explanation:

Here is one way

rate of bot 3    36 /5         in ten seconds    36/5 *10 = 72 clks

rate of bot4     26/3          in ten seconds    26/3 * 10 = ~ 87 clks

Using the perimeter concept, the measures are given as follows:

a) Perimeter when the missing box is of -7: -6x² + 8x + 4.

b) Coefficient missing when the perimeter is of 5x² + 8x + 4: a = 4.

c) Perimeter from part B when x = 3: 73 inches.

The perimeter of a figure is obtained by the sum of their outer side lengths.

For this shape, these lengths are given as follows:

With a missing coefficient of a = -7, we have that:

ax² + x = -7x² + x.

Hence the perimeter is:

3x + x² + 5 - 7x² + x + 4x - 1 = -6x² + 8x + 4.

In symbolic terms, the perimeter is:

(1 + a)x² + 8x + 4.

When the perimeter is of 5x²+8x + 4, the coefficient is:

1 + a = 5

a = 5 - 1

a = 4.

When x = 3 and a = 4, the perimeter is given as follows:

P = 5(3)² + 8(3) + 4 = 73 inches.

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The value of 16 ft is the diameter of the semicircle.

That means the radius is 8 ft, and this is also the measure of the smaller side of the rectangle.

First, let's calculate the area of the rectangle:

Now, let's calculate the area of the semicircle:

So the area of the shaded region is:

By making use of Set Theory, we calculate that a total of 38 students are enrolled in either physics or algebra.

Number of students taking algebra n(A)= 29

Number of students taking physics n(B)= 14

Number of students taking both subjects n(A∩B)= 5

So, the number of students taking either physics or algebra will be the union of sets i.e. n(A∪B)

The union of two sets is a set containing all elements that are in A or in B (possibly both).

As we know,

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 29 + 14 - 5

n(A∪B) = 38

Therefore, A total of 38 students are enrolled in either physics or algebra.

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SOLUTION

Dependent events influence the probability of other events or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.

PART A

Since the flip of a coin would not affect the spin of the spinner, therefore these events are independent events.

The answer is 'I'

PART B

To find the probability that the coin lands tails-up and the spinner lands on 1, we would need to find the probability of getting a tail, then we find the probability of getting a 1

Therefore,

When we flip a coin, the favourable outcome for a tail is 1 since a tail can only occur once in one flip. The total possible outcomes are 2, since we can have either a tail or head occurring in one flip.

Then,

When we spin the spinner, the favourable outcome for one is 1, since we have only one slot for one on the spinner. The total possible outcome is 4 since we have 4 different number

slots on the spinner.

Then,

To get the probability of getting a tail, then we find the probability of getting a 1 we multiply the probability of getting a one on the spinner and a tail on the flip.

Answer:

140

Step-by-step explanation:

triangles equal to 180

64+76+x=180

x=40

180-40=140

Answer:

140°

Step-by-step explanation:

We know that,

  the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.

Accordingly,

k = 64 + 76

k = 140°

From what I explained in the session before, the x value must be between 10 and 15, so only 2 options are viable, 14 and 12. Let's evaluate each of them

So, 12 is not the answer. Let's evaluate 14

So, x = 14 is the correct answer

The domain refers to all the values of x (inputs) for the function

The range refers to all the values of y (outputs) for the function

We have the domain & range thus:

Answer:

Zavier had 37 books, and Maria had 33 books

Step-by-step explanation:

You take 70 and divide it by 2 (cause you are only dividing the books up to maria and Zaviar); this will give you 35 books to each person EXCEPT Zavier has two more books to his pile, so you subtract two books from Marie and add it to Zaviers!

Answer:

−13w − 6.8

Step-by-step explanation:

Let's simplify step-by-step.

−6w − 8.3 + 1.5 − 7w

−6w + −8.3 + 1.5 + −7w

Combine Like Terms:

−6w + −8.3 + 1.5 + −7w

(−6w + −7w) + (−8.3 + 1.5)

−13w + −6.8

The answer is -13w+9.8

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: -6w + (-8.3) + 1.5 + (-7w) = -13w+9.8

Hence, The answer is -13w+9.8

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Answer:

  $15.27

Step-by-step explanation:

You want to know how much more profit Kevin made on Saturday than on Friday, if his revenue and expenses for the two days were ...

The profit each day is the difference between revenue and expenses:

  Saturday profit = $807.31 -289.00 = $518.31

  Friday profit = $735.90 -232.86 = $503.04

The profit on Saturday exceeded the profit on Friday by ...

  $518.31 -503.04 = $15.27

Kevin made $15.27 more on Saturday than Friday.

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