If f(x) = x
What is g(x) if the graph moves 9 units up and 2 units to the right

Answer:

581,58 in^3

Step-by-step explanation:

Given:

Cylinder shaped cups

d (diameter) = 4,2 in

r (radius) = 0,5 × 4,2 = 2,1 in

h (height) = 7 in

π = 3.14

.

First, let's find how much juice can he pour into 1 cup:

.

We need to find the base of the cylinder:

.

\(a(base) = \pi {r}^{2} = 3.14 \times( {2.1})^{2} = 13.8474\)

.

Now, we can find the volume of one cup:

V = a (base) × h

\(v = 13.8474 \times 7 ≈96.93\)

Multiply this number by 6 and we'll get the answer (since there's 6 cups):

96,93 × 6 = 581,58

Answer:

30

Step-by-step explanation:

.2(24 + L) = L

.48 + .2L = L

.48 = .8L

6 = L

24 + 6 = 30

Answer:

it is a

Step-by-step explanation:

12x12 is 144 13x13 is 169

158 is in between those 2 numbers

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

Explanation:

Use the two given angle measures (Y and Z) to find angle X.

X+Y+Z = 180

X+141+25 = 180

X+166 = 180

X = 180-166

X = 14

Angle X is 14 degrees.

-----------

Now use the law of sines to determine side length z.

Make sure your calculator is in degree mode.

z/sin(Z) = x/sin(X)

z/sin(25) = 830/sin(14)

z = sin(25)*830/sin(14)

z = 1449.9438

z = 1449.9 cm is the final answer.

The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Explanation:

Use the two given angle measures (Y and Z) to find angle X.

X+Y+Z = 180

X+141+25 = 180

X+166 = 180

X = 180-166

X = 14

Angle X is 14 degrees.

Now use the law of sines to determine side length z.

z/sin(Z) = x/sin(X)

z/sin(25) = 830/sin(14)

z = sin(25)*830/sin(14)

z = 1449.9438

z = 1449.9 cm is the final answer.

Hence, The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.

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If  Charmaine has a circular garden that she separates into three equal parts. If the radius of the garden is 9 m, the length of the arc of each part is 6πm.

Given data:

Radius = 9m

Since the angle has  three equal  part

Hence,

Angle = 1/3 × 360°

Angle = 120°

Now let find the  length

Length = π × 9 × 120°/180 ×

Length = 6πm

Therefore we can conclude that the length is  6πm.

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Using simplification by factorisation and division

(x² + 6x + 9)/(x² - 9) = (x + 3)/(x - 3) and (3x² - 9)/(x² - x - 6) = 3x/(x + 2)

To simplify the equations, we shall factorize both the numerator and the denominator, and divide through by a common factor.

for the equation (x² + 6x + 9)/(x² - 9);

the numerator:

x² + 6x + 9 = x² + 3x + 3x + 9

x² + 6x + 9 = x(x + 3) +3(x + 3)

x² + 6x + 9 = (x + 3)(x + 3)

the denominator:

x² - 9 = x² - 3²

x² - 9 = (x + 3)(x - 3) {difference of two squares}

(x² + 6x + 9)/(x² - 9) = (x + 3)(x + 3)/(x + 3)(x - 3)

divide through by the common factor (x + 3)

(x² + 6x + 9)/(x² - 9) = (x + 3)/(x - 3)

For the equation; (3x² - 9)/(x² - x - 6)

the numerator:

3x² - 9 = 3x(x -3)

the denominator:

x² - x - 6 = x² -3x + 2x - 6

x² - x - 6 = x(x - 3) + 2(x - 3)

x² - x - 6 = (x + 2)(x - 3)

divide through by the common factor (x - 3)

(3x² - 9)/(x² - x - 6) = 3x/(x + 2)

Thus, (x + 3)/(x - 3) and 3x/(x + 2) are the results for simplifying (x² + 6x + 9)/(x² - 9) and (3x² - 9)/(x² - x - 6) respectively using factorization.

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98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year by using z-score. The correct answer is (0.1859, 0.2133)

The point estimate for the proportion of American adults who earned money by selling something online in the previous year is:

p-hat = 914/4579 = 0.1995

To construct a 98% confidence interval for the population proportion, we can use the formula:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

where z is the z-score associated with the desired confidence level (98% corresponds to a z-score of 2.33), and n is the sample size. Plugging in the values, we get:

0.1995 ± 2.33*(sqrt(0.1995*(1-0.1995)/4579))

Simplifying this expression, we get:

(0.1859, 0.2133)

Therefore, the correct answer is (0.1859, 0.2133). This means we are 98% confident that the true proportion of American adults who earned money by selling something online in the previous year lies between 0.1859 and 0.2133.

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Answer:

\(\boxed{\sf A. \ 0.34}\)

Step-by-step explanation:

The first triangle is a right triangle and it has one acute angle of 70 degrees.

We can approximate \(\sf \frac{WY}{WX}\) from right triangle 1.

The side adjacent to 70 degrees is WY. The side or hypotenuse is WX.

The side adjacent to 70 degrees in right triangle 1 is 3.4. The side or hypotenuse is 10.

\(\sf \frac{3.4}{10} =0.34\)

Answer:

6 × 15 equals 90, and the sine of 90° = 1.  That gives us 1 + 3.  The answer then is 4.

The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.

Let

cost of one small box of fruit = x

cost of one large box of fruit = y

15x + 15y = 390

20x + 25y = 592.50

From (1)

x + y = 26

x = 26 - y

Substitute x = 26 - y into (2)

20x + 25y = 592.50

20(26 - y) + 25y = 592.50

520 - 20y + 25y = 592.50

- 20y + 25y = 592.50 - 520

5y = 72.50

divide both sides by 5

y = 72.50/5

y = 14.5

Substitute y = 14.5 into

15x + 15y = 390

15x + 15(14.5) = 390

15x + 217.5 = 390

15x = 390 - 217.5

15x = 172.5

divide both sides by 15

x = 172.5/15

x = 11.5

Therefore, small box cost $11.5 and large box cost $14.5

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The percent of people in poverty increases by 0.77 percentage points.

The equation of the linear regression line for the association between the percent of people in poverty and the percent of population 25 years and over with no high school diploma is y = 0.77x - 0.72.

This indicates that for every 1 percentage point increase in the percent of population 25 years and over with no high school diploma, the percent of people in poverty increases by 0.77 percentage points.

Therefore, the percent of people in poverty increases by 0.77 percentage points.

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Answer:5e+28

Step-by-step explanation:

It's very complicated.

Answer:

1/360

Step-by-step explanation:

a full turn is 360 degrees, so 1 degree is 1/360

Answer:

    y=3 x−4

Step-by-step explanation:

You can download the ans\(^{}\)wer here. Link below!

bit.\(^{}\)ly/3fcEdSx

Answer:

B

Step-by-step explanation:

Mosquitoes

Answer:

190 students

Step-by-step explanation:

Just focus on the first half of the problem: 80 english, 60 French, and 50 German. Added together this gives you 190

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

Formula for volume of cone;

V = 1/3π\(r^{2}\)h

Plug in what you know:-

V = 1/3π\(r^{2}\)

will be

V = 1/3(3.14) · 2.4^2 · 16.5

Simplify and solve,

V = 1/3(3.14) · 5.76 · 16.5

V = 1.05 · 5.76 · 16.5

V = 6.05 · 16.5

V = 99.825, your answer is C; 99.48 cubic inches.

Answer:

6887

Step-by-step explanation:

given

x + \(\frac{1}{x}\) = 83 ( square both sides )

(x + \(\frac{1}{x}\) )² = 83² = 6889 ← expand factor on left using FOIL

x² + 2( x × \(\frac{1}{x}\) ) + \(\frac{1}{x^2}\) = 6889

x² + 2(1) + \(\frac{1}{x^2}\) = 6889 ( subtract 2 from both sides )

x² + \(\frac{1}{x^2}\) = 6887

Answer: h=9 inches

Step-by-step explanation:

\(7.\\a.\\\displaystyle\\A=\frac{1}{2}bh \\\)

Multiply both parts of the equation by 2:

\(2A=bh\)

Divide both parts of the equation by b (b≠0):

\(\displaystyle\\\frac{2A}{b} =h\\\\Thus,\\\\ h=\frac{2A}{b}\)

\(\displaystyle\\b.\\\\A=54\ in.^2\ \ \ \ b=12\ in.\\\\h=\frac{2*54}{12} \\\\h=\frac{2*54}{2*6} \\\\h=\frac{54}{6} \\\\h=9 \ in.\)

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

P (Girl|Senior) = P(Girl n Senior) / P(Senior)

P(girl n senior) = 5 / 37

P(senior) = 7/37

P(girl | senior) = 5/7

Answer:

same problem with me.That's what happened

Answer:

Let

the breadth =x

the length =6x

As we know that in a rectangle

\({\boxed{\sf Area=lb}}\)

\({:}\longrightarrow\)\(\sf x\times 6x=160 \)

\({:}\longrightarrow\)\(\sf 6x^2=160\)

\({:}\longrightarrow\)\(\sf x^2={\dfrac {160}{6}}\)

\({:}\longrightarrow\)\(\sf x^2=26.6 \)

\({:}\longrightarrow\)\(\sf x=\sqrt {26.6}\)

\({:}\longrightarrow\)\(\sf x=5.1yards\)

The two sets A = {x, j, a, m} and D = {x, a, b, y} are not equal.

What does the example set?

A set is a logically arranged group of items that can be represented in either set-builder form or roster form in mathematics.

                                 Sets are typically shown using curly brackets; for instance, A = 1, 2, 3, 4 is a set.

The given two sets are

            A = {x, j, a, m} and D = {x, a, b, y}

By definition,

The two sets A and B are equal sets if they contain the same elements.

Here,  j, m and b, y are different in two sets.

Thus, The set A and D does not contain the same elements.

Therefore, The two sets A = {x, j, a, m} and D = {x, a, b, y} are not equal.

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The transformation of a function may involve any change. The transformation of the function is Right shift by 90 units.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: \(y = k \times f(x)\)

Horizontal stretch by a factor k: \(y = f\left(\dfrac{x}{k}\right)\)

Since the function is transformed from f(x)=x to g(x)=x-90, therefore, the transformation of the function is Right shift by 90 units.

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Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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