nxz - f = 3f
Solve for x

Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Use / for the fraction bar if necessary. if p − 1 is a factor of p^4 + p^2 + p - k , the value of k is 1 + p^2 + p^4.

A fraction bar is a graphic representation of fractions that is useful for fraction comparison and fraction operations. Part-to-whole representational models like fraction bars or fraction strips are used. One unit out of a whole is represented by each segment of a fraction bar.

To comprehend the value of a fraction, utilize fraction bars. They can also be utilized for comparing fractions and, subsequently, adding and removing fractions. The ability to visualize a fraction bar for just any fraction is crucial.

p - 1 = p^4 + p^2 + p - k

k = 1 + p^2 + p^4

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Answer:

Step-by-step explanation:

To solve this problem, we can use the following formula:

Total amount of money = Amount saved + Amount earned per week * Number of weeks

We want to find the number of weeks, so we can rearrange the formula to solve for Number of weeks:

Number of weeks = (Total amount of money - Amount saved) / Amount earned per week

Substituting the values we have:

Number of weeks = ($250 - $45) / $20

Number of weeks = $205 / $20

Number of weeks = 10.25

Therefore, it will take Wendell 10.25 weeks to have enough money to buy a new tennis racket.

I hope that helps! Let me know if you have any other questions.

a. The length of the rectangular parking lot is  97 units.

b. The width of the rectangular pool is 72 metres.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.

The  perimeter of a rectangular parking lot is 368 units . The width of the parking lot is 87 units. Therefore,

Perimeter of the parking lot = 2(l + w)

where

Therefore,

368  = 2(l + 87)

368 = 2l + 174

368 - 174 = 2l

194  =  2l

divide both sides by 2

l = 194 / 2

l = 97 units

Hence,

length of the parking lot = 97 units

The area of a rectangular pool is 6768 m². The length of the pool is 94 metres. The width of the pool is as follows;

area of the rectangular pool = lw

6768 = 94w

divide both sides by 94

w = 6768 / 94

w = 72 metres

Therefore,

a. length of the parking lot = 97 units

b = width of the rectangular pool = 72 metres

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a. The length of the parking space with perimeter 386 is 97

b. The width of the pool with area 6768 is 72m

The area of the rectangle is the space covered by it.

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The perimeter of a rectangle = 2(l+w)

368 = 2( l+w)

divide both sides by 2

l+w= 368/2

l+87 = 184

l = 184-87

l= 97

therefore the length of the parking space is 97

The area of a rectangle = l× w

6768 = 94 × w

divide both sides by 94

w = 6768/94

w = 72m

therefore the width of the pool is 72m

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Answer:

The answer is Blank1: Hectogon 4 to the power of 6.

Step-by-step explanation:

I took the test and got it right sooo

Answer:

A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

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26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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Answer:

The answer is below

Step-by-step explanation:

The shape of the figure attached is the shape of a sector with an angle of 90° (quarter of a circle).

From the sector, AB = AC = radius of the sector (r) = 12. Therefore:

\(Area\ of\ sector=\frac{\theta}{360}*\pi r^2 = \frac{90}{360}*\pi * (12)^2 = 0.25 * \pi * 144=36\pi\\\\Area\ of\ triangle\ ABC=\frac{1}{2}*base *height= \frac{1}{2}*AB*BC=\frac{1}{2}*12*12=72\\\\Area \of\ shaded\ region = Area\ of\ sector-Area\ of\ triangle=36\pi-72\\\\Area \of\ shaded\ region =36\pi-72\)

From the triangle: AC² = AB² + BC²

AC² = 12² + 12² = 144 + 144

AC² = 288

AC=√288 = 12√2

\(Perimeter\ of\ sector=\frac{\theta}{360}*2\pi r = \frac{90}{360}*2\pi * (12) = 0.25 * 2\pi * 12=6\pi\\\\Perimeter \of\ shaded\ region = Perimeter\ of\ sector+AC=6\pi + 12\sqrt{2}\)

The total time ran by Katie on Tuesday and Wednesday together is given by the equation A = 16.23 minutes

where A is the total time

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total time ran by Katie on Tuesday and Wednesday be = A

Now , the equation will be

The time required by Katie to run a mile on Tuesday = 8.34 minutes

The time required by Katie to run a mile on Wednesday = 7.89 minutes

So ,

Total time ran by Katie on Tuesday and Wednesday A = time required by Katie to run a mile on Tuesday + time required by Katie to run a mile on Wednesday

Substituting the values in the equation , we get

Total time ran by Katie on Tuesday and Wednesday A = 8.34 minutes + 7.89 minutes

On simplifying the equation , we get

Total time ran by Katie on Tuesday and Wednesday A = 16.23 minutes

Therefore , the value of A is 16.23 minutes

Hence , The total time ran by Katie on Tuesday and Wednesday together is A = 16.23 minutes

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Answer:

Step-by-step explanation:

It will be easier if you bring that binomial in-front, imo. But the main thing you want to do here is actually really easy. You have to distribute that x to every single term in the trinomial, then do the same thing for the 5. Add up everything.

Distribute the x and 5 like this:

\(x(2x^2+7x-10) + 5(2x^2+7x-10)\)

\(2x^3+7x^2-10x+10x^2+35x-50\)

Now combine like terms:

\(2x^3+17x^2+25x-50\)

There's your answer. Btw, standard form means the exponents are in order high to low and all variables before constants

The product of the expression is 2x³ + 17x² + 25x - 50.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x² + 7x - 10 and x + 5

Multiply both expressions.

(2x² + 7x - 10) x (x + 5)

2x³ + 10x² + 7x² + 35x - 10x - 50

Combine like terms.

2x³ + 17x² + 25x - 50

Thus,

The expression is 2x³ + 17x² + 25x - 50.

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Answer:

Volume of a sphere- (4/3) x π x r3

(4/3) x 3.14 x 4 x 4 x 4

= (4/3) x 3.14 x 64

= 267.94

Graph C has a function

Since the line L intersects the graph at the point, A (2, -5)

To find the slope of the line we will differentiate the f(x) and substitute x by 2

The slope of the line is 8, substitute it in the form of the linear equation

To find b substitute x by 2 and y by -5

Subtract 16 from both sides to find b

Then the equation of the line is

The value of π for this binomial distribution is not given and needs to be calculated.

how to calculate π, we need to know that π represents the probability of success for each trial in a binomial distribution. We can use the formula μ = nπ, where μ is the mean and n is the number of trials, to solve for π.

we are given that the mean is 4.0 and n = 8. Substituting these values into the formula, we get 4.0 = 8π, which simplifies to π = 0.5. Therefore, the probability of success for each trial in this binomial distribution is 0.5.

To find π for a binomial distribution, we need to use the formula μ = nπ and solve for π by substituting the given values. In this case, the value of π is 0.5, which means the probability of success for each trial is 0.5.

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Answer:

The answer is 55g+10

Step-by-step explanation:

first you use distributive property then add like terms.

Answer:

Equation: y = x - 1

Step-by-step explanation:

Given: y = x - 6

Slope-Intercept Form: y = mx + b -

where:

Note: parallel lines have the same slope

1. Determine the slope and y-intercept of the given equation:

⇒ y = x - 6 has a slope of 1, and a y-intercept of -6

2. Find the equation of the line parallel line that passes through the point (-5,-6):

⇒ y = x + b [substitute -5 for x and -6 for y]

⇒ -6 = -5 + b [add 5 to both sides]

⇒ -6 + 5 = -5 + 5 + b

⇒ -1 = b

Equation: y = x - 1

3. Check your answer using point (-5, -6):

⇒ y = x - 1

⇒ -6 = -5 - 1

⇒ -6 = -6 ✔

This statement is correct

Therefore, the equation of the line is y = x - 1

The correct answer is C." is either rational or irrational" because it cannot be expressed as the ratio of two integers.

The product of a non-zero rational number and a non-zero irrational number is either rational or irrational, depending on the specific numbers involved.

let's assume that the non-zero rational number is a/b and the irrational number is c. If their product is rational, we can write

a/b×c=d/e

where d and e are integers with no common divisors. This means:

c = (d/b) × (e/a)

Both d/b and e/a are rational numbers, so their product is also a rational number. Therefore, expressing the irrational number c as the product of two rational numbers is a contradiction. 

For example, consider the rational number 2/3 and the irrational number √2.

Multiplying them gives:

(2/3) * √2 = (2√2)/3

It is an irrational number because it cannot be expressed as the ratio of two integers. Therefore answer (C) is either rational or irrational.

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use oak national academy.

it really helped me.

Answer:

try mathswatch videos(this is u need to pay or you can use someones username and password for the videos if ur a school student) or oak nation (this one is free)

Step-by-step explanation:

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

2 miles

Step-by-step explanation:

On the graph, when Dorian caught up to Danielle, they were in the same place at the same time. This is where the solid and dashed lines on the graph intersect. Danielle is the solid line, look at the point of intersection they had both traveled 2 miles, which you can see on the vertical axis.

The height of the building after using proportion is  110.5 ft.

What is proportion ?

The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.

Here House height = 13ft

Shadow of the house height = 20 ft

Shadow of the building height = 170ft

Noe using proportion ,

=> \(\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}\)

=> \(\frac{13}{20} = \frac{x}{170}\)

=> x=\(\frac{13*170}{20}\) =110.5 ft.

Hence the height of the building is 110.5 ft tall.

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Answer:

27

Step-by-step explanation:

The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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The grid that is shaded red and blue in ratio 1 : 2 is grid (c)

The complete question is in the image

The ratio is given as:

Red : Blue = 1 : 2

There are 12 squares in each grid.

This means that:

Red : Blue = 12 * 1/(1 + 2) : 12 * 2/(1 + 2)

Evaluate

Red : Blue = 4 : 8

The grid that has 4 red and 8 blue is (c)

Hence, the grid that is shaded red and blue in ratio 1 : 2 is grid (c)

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Answer:

-7, 1

Step-by-step explanation:

The roots of an equation are the answers to the equation, where the graph of the equation intersects the x-axis. One can see that the points at which the graph intersect the x-axis are the following,

(-7, 0) and (1, 0), therefore the roots to the equation are the following;

-7, 1

The probability that tails appears on the next toss is 0.5

Given,

In the question:

If I toss a fair coin five times and the outcomes are TTTTT,

To find the probability that tails appears on the next toss is.

Now, According to the question:

The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.

A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T}  is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .

The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH}  or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5

Hence,  the probability that tails appears on the next toss is 0.5

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Answer:

6/42 = 1/7

Step-by-step explanation:

Divide the number of events by the number of possible outcomes.

Answer:

224

Step-by-step explanation:

Total marks = x

x * 25% + 64 = x * 40% - 32

x * 15% = 96

x = 640

Maximum Marks = 640..

Marks Scored = 25% of 640

                        = 160
Marks Required to pass = 160 + 64

                                        = 224

Answer:

I'm going to assume that you meant y=3x-8 and y=-4

This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.

Hope I helped have a nice day :)

Answer:

less thaan

Step-by-step explanation:

becuase you subtract 11 from the x values to get the answer.