#9.
The table represents some points on the graph of linear function f.
Which function represents f ?
f(x)=32(3 x-1)
f(x)=-32(x-3)
f(x)=-2(32 x-3)
f(x)=16(2 x-1)

Answer:

I got 17.99 inches

Answer:

18 ft (it's correct)

Step-by-step explanation:

formula for volume: volume = \(\pi r^2h\)

plug in the values that they give you

5,652 = \(\pi 10^2h\)

simplify

5,652 = 100pi h

solve for h

\(\frac{5652}{100\pi } = h\)

h = 18 (rounded)

let's firstly convert the mixed fractions to improper fractions and then proceed.

\(\stackrel{mixed}{3\frac{1}{9}}\implies \cfrac{3\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{28}{9}} ~\hfill \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}} \\\\[-0.35em] ~\dotfill\)

\(-\cfrac{28}{9}~~ - ~~\left( -\cfrac{25}{3} \right)\implies -\cfrac{28}{9}~~ + ~~\left( \cfrac{25}{3} \right)\implies -\cfrac{28}{9} + \cfrac{25}{3} \\\\\\ \stackrel{\textit{using the LCD of 9}}{\cfrac{1(-28)~~ + ~~3(25)}{9}}\implies \cfrac{-28+75}{9}\implies \cfrac{-47}{9}\implies {\LARGE \begin{array}{llll} -5\frac{2}{9} \end{array}}\)

4.5y

subtract 2.9y from 7.4y, and you get 4.5y

Answer: A person who is eligible to use a 1040EZ form when filing a federal income tax return must meet certain criteria:

Must have taxable income of less than $100,000

Must not claim any dependents

Must only have wages, salaries, tips, taxable scholarship or fellowship grants, unemployment compensation, or Alaska Permanent Fund dividends, and your taxable interest is less than $1,500

Given these criteria, the correct answer is:

D. Single person, with no dependents, who made $49,000 last year.

Step-by-step explanation:

Answer:

891

Step-by-step explanation:

x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.

Answer:

891

Step-by-step explanation:

\($1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$\)

Hope this helped! :)

Answer:

u dont explane the question

Step-by-step explanation:

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

for such more question on trapezium

https://brainly.com/question/22351006

#SPJ8

Answer:

i need help with this too let me know when you find out

Step-by-step explanation:

Step-by-step explanation:

all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.

smaller value : -28

larger value : -26

other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.

Answer: To write the given values A = 4, B = -2, and C = 7 in standard form, we arrange them in the standard form equation:

4x - 2y = 7

In the standard form of a linear equation, the variables are on the left side of the equation, the coefficients are integers, and the constant term is on the right side.

Step-by-step explanation:

The assumed line's and direction's parametric equation is x = 5 + t; y = -1; z = 3 -2t

How can the parametric equation be found?

The absence of points and lines renders the question insufficient.

I will therefore utilize the following presumptive parameters:

As the line traverses: (5, -1, 3)

The direction is  ~v = <1, 0, -2>

The parametric equation of the line is represented as:

r<x,y,z> = Line + t<direction>

This gives

r<x,y,z> = (5, -1, 3) + t<1, 0, -2>

Express the equation in terms of x, y and z

x = 5 + t * 1

y = -1 + 0 * t

z = 3 -2 * t

Solve the equations

x = 5 + t

y = -1

z = 3 -2t

Consequently, the assumed line's and direction's parametric equation is x = 5 + t; y = -1; z = 3 -2t

Read more about parametric equations at:

brainly.com/question/51019

#SPJ4

Answer:

So, the answer is (b) 320 feet.

Step-by-step explanation:

Let's call the length and width of the first playground "x".

The perimeter of the first playground is 160 feet, so 2 times the length plus 2 times the width is equal to 160:

2x + 2x = 160

Simplifying:

4x = 160

Dividing both sides by 4:

x = 40

So the length and width of the first playground are both 40 feet.

The second playground is twice as long and twice as wide as the first playground, so the length and width of the second playground would be 2 * 40 = 80 feet.

The perimeter of the second playground would then be 2 * 80 + 2 * 80 = 320 feet.

So, the answer is (b) 320 feet.

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

Learn more about triangles;

https://brainly.com/question/2773823

#SPJ1

The figure is in image.

The probability that the hacker guesses the password on their first try is extremely low.

What is the probability that the hacker guesses the password on his first try?

There are 26 lowercase letters, 26 uppercase letters, and 10 numerical digits, for a total of 62 possible characters for each position in the password. Since the password is 9 characters long, there are \(62^{9}\) possible passwords.

The probability that the hacker guesses the password on their first try is 1 out of the total number of possible passwords:

Probability = 1 / (\(62^{9}\))

Using a calculator, this can be simplified to approximately 1.2 x \(10^{-16}\)

Therefore, the probability that the hacker guesses the password on their first try is extremely low.

to know more about probability

brainly.com/question/30034780

#SPJ1

Answer:

x=12

Step-by-step explanation:

As a straight line is equal to 180. Here, we have one angle given, which is 134. So,

w+134=180

w=46

And the sum of all the angles of a triangle is equal to 180.

By adding all the angles,

8x-10+5x-12+46=180

13x-22+46=180

13x+24=180

13x=180-24

13x=156

x=156/13

x=12

Step-by-step explanation:

➝8x-10+5x-12=134

➝8x+5x-10-12=134

➝13x-22=134

➝13x=134+22

➝13x=156

➝x=156/13

➝x=12

The correct answer is option (d) - one proportion z-test.

The complete question is

A research company is claiming that 75% of college students shop online. Jamila takes a sample of 200 college students and finds that 120 college students shop online. Which type of inference test should Jamila use?

a) Chi-squared test for homogeneity

b) Two-way ANOVA O

c) One-sample t-test

d) One proportion z-test

To determine which type of inference test to use in this situation, Jamila needs to consider the following:

   The research question: In this case, the research question is whether the proportion of college students who shop online is significantly different from the proportion claimed by the research company (75%).

   The type of data: Jamila has collected data on a sample of college students, rather than the entire population.

   The type of variables: The variable of interest is a binary variable (students either do or do not shop online), and the proportion of students who shop online is being compared to a fixed value (75%).

Given this information, the appropriate test to use is a one proportion z-test. The one proportion z-test is a statistical test that is used to determine whether the proportion of a binary variable in a sample is significantly different from a known proportion in the population.

To learn more about inference tests, check out https://brainly.com/question/28893919

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

Answer:

Step-by-step explanation:

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

Read more on set theory:

https://brainly.com/question/13458417

#SPJ1

Answers:

\(f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\)

===============================================

Work Shown:

\(f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\\)

The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).

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

Similarly,

\(g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\\)

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

The entire amount of money received by an organisation's operations over a predetermined period of time is the basic definition of revenue.

A company's revenue is its total revenue before any expenses are subtracted. According to the definition, revenue is the total sum of money obtained through conducting commercial activities like sales.

Let store charge x $ for each movie.

No.of rented movies per weak = 108-9x(x-z)

Total revenue = x*[108-9(x-2)]

= x*[108-9x+18]

= x*[126-9x]

= 126x-9x^2

Total revenue will be maximised when dT/dx = 0

dT/dx = 126-9*2x

= 126-18x = 0

18x = 126

x = 7$

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

To know more about revenue, visit:

https://brainly.com/question/29087694

#SPJ1

Since \(x\) is approaching 1 from the left/below, we take the part of \(f(x)\) that is defined over \(x<1\), for which we have

\(f(x) = \dfrac{x-1}{\sqrt{x-1}}\)

Since \(x\neq1\), we can simplify this to

\(f(x) = \dfrac{x-1}{(x-1)^{1/2}} = (x-1)^{1/2} = \sqrt{x-1}\)

and this is continuous at \(x=1\), so we can evaluate the limit by directly substituting \(x\).

To summarize:

\(\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} \frac{x-1}{\sqrt{x-1}} = \lim_{x\to1} \sqrt{x-1} = \sqrt{1-1} = \boxed{0}\)

On a number line, 7.05 would be located

From the question, we have the following parameters that can be used in our computation:

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

Read more about number line

https://brainly.com/question/12399107

#SPJ1

Answer:37,396

Step-by-step explanation:

P(A) is the probability of observing 3 on first trial. P(B) is probability of observing 3 after at least 2 trials. P(A U B) is total probability of observing 3.

(a) The probability of observing a 3 on the first trial is 1/6. So, p(a) = 1/6.

(b) The probability of not observing a 3 on the first trial is 5/6.

If a 3 is not observed on the first trial, then the same experiment will be repeated with a 5/6 chance of not observing a 3 again.

This can be represented as (5/6)^2.

The probability of not observing a 3 on the first two trials is (5/6)^2.

So, the probability of observing a 3 on the third trial is

1 - (5/6)^2

This can be represented as

1 - (5/6)^n     where n is the number of trials

The probability of requiring at least two trials to observe a 3 is the sum of the probabilities of observing a 3 on the third, fourth, fifth, etc. trials. This is equivalent to the sum of an infinite geometric series. The sum can be calculated using the formula

S = a/(1 - r)        where S is the sum, a is the first term, and r is the common ratio.

In this case, a = 1 - (5/6)^2 and r = 5/6. So, the sum is S = (1 - (5/6)^2)/(1 - 5/6) = 6/36 = 1/6. Therefore, p(b) = 1/6.

(c) The probability of observing a 3 on the first trial or at least two trials is the sum of p(a) and p(b). So, p(a or b) = p(a) + p(b) = 1/6 + 1/6 = 1/3.

Learn more about geometric series :

https://brainly.com/question/4617980

#SPJ4

Answer:

Since JH is perpendicular to JE and HI is perpendicular to IE, and JH is congruent to HI, the angles formed by JH and HI are equal. This means that the corresponding angles formed by JE and IE are also equal. Since corresponding angles are equal, JE is congruent to IE.

Step-by-step explanation:

To prove that △DFE ~ △GFH by SAS similartiy theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: \(\frac{DF}{GF}\) = \(\frac{EF}{HF}\) and ∠DFE is congruent to ∠GFH.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

     = 12 + 4

DF = 16

Also,

EF = EH + HF

    = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

\(\frac{DF}{GF}\) = \(\frac{EF}{HF}\)

\(\frac{16}{4}\) = \(\frac{12}{3}\)

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

So that the appropriate answer to the given question is option C. ∠DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

\(\frac{DF}{GF}\) = \(\frac{EF}{HF}\) and ∠DFE is congruent to ∠GFH.

Visit: https://brainly.com/question/21782708

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

Answer:

-31

Step-by-step explanation:

Let's put this into an equation:

\(4-5 *7\)

Note that 5 less than 4 means I take 5 AWAY from 4, not 5-4.

Most people would go about this straight across, doing 4-5, -1, and then times 7 which would be -7.
BUT if there are no parentheses around 4-5, we do 5 times 7 first.

Why? In PEMDAS or order of operations, you multiply before subtracting.

That means I do 5 times 7 first. That is 35.

Now I subtract 4-35. That is -31.