P(x) Q(x) = R(x); if P(x)
72 Am
R(x); if P(x)=x+2 and R(x) = x³ - 3x² - 6x-2, what is Q(x)?

Brett and his family need to start hiking no later than 4:20 PM to reach their camping spot and set up camp before it gets dark.

To calculate the latest time Brett and his family can start hiking, we need to subtract the total time required for hiking and setting up the camp from the sunset time.

Total time required:

Hiking time: 2 hours 55 minutes = 2.92 hours

Setting up camp time: 1 hour 10 minutes = 1.17 hours

Total time required = Hiking time + Setting up camp time = 2.92 hours + 1.17 hours = 4.09 hours

Now, subtract the total time required from the sunset time:

Sunset time: 8:25 PM

Latest start time = Sunset time - Total time required

Latest start time = 8:25 PM - 4.09 hours

To subtract the hours and minutes, we need to convert 4.09 hours into minutes:

0.09 hours * 60 minutes/hour = 5.4 minutes

So, the latest start time is 8:25 PM - 4 hours 5.4 minutes:

Latest start time = 8:25 PM - 4 hours 5.4 minutes = 4:20 PM

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The radius of the hemisphere is approximately 5.7 inches.

The volume of a hemisphere is given by the formula:

V = (2/3)πr³

V is the volume of the hemisphere and r is the radius.

We are given the volume of the hemisphere as 885 in³.

Solving for r we get:

r = \([(3V)/(2\pi)]^{(1/3)\)

Substituting V = 885 in³, we get:

r = \([(3 \times 885)/(2\pi)]^{(1/3)\)

≈ 5.7 inches (rounded to the nearest tenth)

The radius of the hemisphere is approximately 5.7 inches.

The formula: gives the volume of a hemisphere.

V = (2/3)πr³

r is the radius and V is the hemisphere's volume.

The hemisphere's size is specified as 885 in3.

When we solve for r we get:

r = \([(3V)/(2\pi)]^{(1/3)\)

With V = 885 in3 we obtain:

r = [(3 x 885)/(2π)](Rounded to the nearest tenth) (1/3) 5.7 inches

As a result the hemisphere's radius is around 5.7 inches.

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Answer:

36

Step-by-step explanation:

Given

3x + 2(y - 4) ← substitute x = 10 and y = 7 into the expression

= 3(10) + 2(7 - 4)

= 30 + 2(3)

= 30 + 6

= 36

Answer:

The correct answer is option A. Line DB

Step-by-step explanation:

When you write that M is a line, the sign for this would be a line with arrows on both of its end like this :  <------------>

Now, due to the fact that lines look like this  <------------>, we can cross out option C and D as they both aren't lines but points. Points go like this: ---->

Option B says, "line EB", this can't be true because E corresponds with the letter F, it can't become a line with B hence why the only option true here is choice A.

Answer:

X = 18           Y= 30

Step-by-step explanation:

Since you have to do times two to X and Y.

Mark as brainliest plz

Answer: y=30 x=18

Step-by-step explanation:

16x2=32

so everything else must be multiplied by 2 bc the shape is 2 times bigger according to 16 and 32

15x2=30

so 30=y

9x2=18

so 18=x

Answer:

Step-by-step explanation:

In order to find which prisms have the same, we use the formula:

A = L x W x H (Area = Length x Width x Height)

So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:

Cube 1: A = 4 x 4 x 3 = 48

Cube 2: A = 6 x 4 x 2 = 48

Cube 3: A = 4 x 3 x 3 = 36

Cube 4: A = 8 x 2 x 2 = 32

Cube 5: A = 4 x 2 x 4 = 32

Cube 6: A = 6 x 2 x 3 = 36

So, Cube 1 and Cube 2 are the same with 48.

Cube 3 and Cube 6 are the same with 36.

Cube 4 and Cube 5 are the same with 32.

:)

Answer: 1 and 2, 4 and 5, and 3 and 6.

Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume.  The volumes for each cube is in the order of top left and continue until the bottom right.

From there, you can match them, and then your answer is complete.

Let me know if this is right! :)

Given:

Over the past 4 years, Grandpa Ernie's height decreased by a total of 2.4 cm.

It decreased by the same amount each year.

To find:

The change in Grandpa Ernie's height each year.

Solution:

Total change in Grandpa Ernie's height in past 4 years = -2.4 cm

Here, negative sign represents the decrease in height.

It decreased by the same amount each year.

So, change in each year is

\(\text{Change each year}=\dfrac{\text{Total change}}{\text{Number of years}}\)

\(\text{Change each year}=\dfrac{-2.4}{4}\)

\(\text{Change each year}=-0.6\)

Therefore, the change in Grandpa Ernie's height each year is -0.6 cm. It means, the Grandpa Ernie's height decreased by 0.6 cm each year.

The given expression (5.66 × 10³ - 5.57 × 10³) is equivalent to 90.

Given is the expression as follows -

5.66 × 10³ - 5.57 × 10³​

The given expression is -

5.66 × 10³ - 5.57 × 10³​

10³ x (5.66 - 5.57)

10³ x 0.09

10³ x {9/10²}

9 x 10

90

Therefore, the given expression (5.66 × 10³ - 5.57 × 10³) is equivalent to 90.

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ANSWER:

(2, 1)

EXPLANATION:

Given:

To find:

The vertex of the function

Step-by-step solution:

To be able to determine the vertex of the given function, we have to rewrite the function in the below vertex form;

where (h, k ) is the vertex of the function.

Recall that a quadratic equation in general form is given as;

If we compare the above equation with the given equation, we see that a = -1/5, b = 4/5, and c = 1/5

We'll find the value of h using the below formula;

We can now determine the value of k as seen below;

Since h = 2 and k = 1, then the vertex of the function is (2, 1) and we can write the function in vertex form as;

Answer:

what are the vocabulary words???

Answer:

x-intercept = (-40,0) and y-intercept = (15,0)

Answer:

x-intercept: (0, -40)

y-intercept: (15, 0)

Step-by-step explanation:

x-intercept: (0, -40)

y-intercept: (15, 0)

We get this because the intercept of an axis is when the line passes through the axis. For y, the x value will always be 0. For x, the y value will always be 0.

Answer:

Step-by-step explanation:

A) 6 inches. ( if the equation for the area of a triangle is

Answer:

B.  41

Step-by-step explanation:

took the test and got it correct :)

The required measure of the angle BCA is 41°. Option B is correct.

Given,
ABCD is a parallelogram, where AC is the diagonal.
Angle ABC is 113°,  angle DCA is 26°, the measure of angle BCA is to be determined.

A parallelogram is a quadrilateral consisting of pairs of parallel sides.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Since angle DCA is 26°, angle CAB is also 26° because of an alternate interior angle of the parallelogram is equal.
So consider a triangle ABC, the sum of the interior angle of a triangle is 180,
∠CAB + ∠ABC + ∠BCA = 180°
26 + 113 + ∠BCA = 180
∠BCA  = 180 - 139
∠BCA  = 41°

Thus, the required measure of the angle BCA is 41°. Option B is correct.

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Answer:

180 texts

Explanation:

mutiply 92 by 0.10 and you'll get 9.2

So each text costs 10 cents.

Answer:

d = 100t

Step-by-step explanation:

d = 100 * t

0 = 100 * 0

100 = 100 * 1

200 = 100 * 2

300 = 100 * 3

The arc length (s) for a circle with radius 4.27 meters and central angle 2.16 radians is approximately 9.22 meters.

To find the arc length (s) for a circle with radius (r) and central angle (θ), you can use the formula:

s = r * θ

In this case, the radius (r) is 4.27 meters, and the central angle (θ) is 2.16 radians. Plug these values into the formula:

s = 4.27 * 2.16

Now, multiply the values:

s ≈ 9.2232

Round the answer to two decimal places:

s ≈ 9.22 meters

So, the arc length (s) for a circle with radius 4.27 meters and central angle 2.16 radians is approximately 9.22 meters.

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The polynomial that represents the total surface area of the sphere with a radius of 2x + 5 is given by 16πx² + 80πx + 100π.

To find the polynomial that represents the total surface area of the sphere with a radius of 2x + 5, we can use the formula for the surface area of a sphere, which is given by S = 4πr², where S is the surface area and r is the radius.

Substituting the given radius of 2x + 5 into the formula, we get:

S = 4π(2x + 5)²

To simplify this expression, we need to expand the square term:

S = 4π(4x² + 20x + 25)

Now, we can distribute the 4π across the terms inside the parentheses:

S = 16πx² + 80πx + 100π

The resulting expression is a polynomial in standard form that represents the total surface area of the sphere.

This polynomial is obtained by substituting the given radius into the surface area formula for a sphere and simplifying the expression.

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Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

Answer:

AC is the longest side

AB is the shortest side

Step-by-step explanation:

We can find the third angle

A+B+C = 180

55+80+C = 180

135+C = 180

C = 180-135

C =45

The longest side is opposite the largest angle

B is the largest angle so AC is the longest side

C is the the smallest angle so AB is the shortest side

Number of hours Marissa worked at pizza place is 26 hours.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now, it is given that,

Marissa's earning per hour = $9

Money received from selling of shoes = $80

Total money left this week = $314

Hence, Total earning = Total money left this week - Money received from selling of shoes

Total earning =  $314 - $80

⇒Total earning = $234

Therefore,

Hours of work = Total earning/earning per hour

⇒Hours of work = $234/$9 hours

⇒Hours of work = 26 hours

Hence,Number of hours Marissa worked at pizza place is 26 hours.

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(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer:

20%

Step-by-step explanation:

Formula:

((GreaterTime-LeastTime)/Greatertime)x100= Percentage of Decrease.

((30-24)/30)*100=percent of decrease.

(6/30)*100=percent of decrease.

0.2*100= percent of decrease.

20%.

Hope this helps you :D

Answer:

Indirect variation

Step-by-step explanation:

If two variables change in inverse proportion, then it is called indirect variation.

xy = k where k is a constant.

5*2 = 10

10*1 =10

\(15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10\)

So, this is indirect variation.

In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


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By using the concept of compact set, it can be proved that

|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.

What is compact set?

A set K is said to be compact if every open cover of K has a finite subcover.

Let K⊆Rn is compact  f:K→R is continuous, and ϵ>0

Let there exist \(x_n, y_n\) ∈ K such that |f(\(x_n\))−f(\(y_n\))| > n∥\(x_n\)−\(y_n\)∥+ϵ,

Since K is compact there is a subsequence \(x_{nk}\) and \(y_{nk}\) of \(x_n, y_n\) respectively such that \(x_{nk}\) converges to x and \(y_{nk}\) converges to y.

So,  |f(\(x_{nk}\))−f(\(y_{nk}\))| > \(n_k\)∥\(x_{nk}\)−\(y_{nk}\)∥+ϵ,

Since f is continuous,

We can write

|f(x)−f(y)| > \(n_k\)∥x - y∥+ϵ,

This is true for infinite many \(n_k\)

So ||x - y|| = 0

|f(x) - f(y)| > ϵ, a contradiction since f is continuous

So,  there is a number A>0 such that

|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.

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Answer:

2

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

The area of the given model can be calculated by multiplying (x + 4) (x + 2), which gives us x² + 6x + 8, which is an algebraic equation.

A formula that can be used to illustrate the relationship between two or more variables and numbers is an equation. Following the instructions in the area model, we will find the area of each rectangle provided in the picture:

Area of the blue rectangle = \(x^{\) × \(x^{\) = \(x^{\)²

Area of the orange rectangle =  \(x^{\) × 4 = 4\(x^{\)

Area of the yellow rectangle =   \(x^{\) × 2 = 2\(x^{\)

Area of the green rectangle = 4 × 2 = 8

Thus, the total area of the model can be given by adding the areas of the four above rectangles:

= \(x^{\)² + 4\(x^{\) + 2\(x^{\) + 8

= x² + 6x + 8.

Therefore, the area of the model is x² + 6x + 8.

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Answer: C.51

Step-by-step explanation:

3 2/5*15=51

Answer: 18: 18, 36, 54, 72, 90
20: 20, 40, 60, 80, 100
16: 16, 32, 48, 64, 80

32: 32, 64, 96, 128, 160

Step-by-step explanation:

multiply each number by 1 2 3 4 5 respectivly to get the answer.