For the cented functions g(x) = x + 3 and h(x) = (x-4, find the composition gºh and specify its domain using interval notation,

For The Cented Functions G(x) = X + 3 And H(x) = (x-4, Find The Composition Gh And Specify Its Domain

Answers

Answer 1

Answer

Part A

(g o h)(x) = x - 1

Part B

Domain of (g o h) = (-∞, ∞)

Explanation

Part A

We are given that

g(x) = x² + 3

h(x) = √(x - 4)

We are then asked to find (g o h)(x)

To do that, we need to note that (g o h)(x) means we write g(x), but instead of x, we write h(x). That is,

(g o h)(x)

= g(h(x))

= [h(x)]² + 3

= [√(x - 4)]² + 3

= x - 4 + 3

= x - 1

Part B

To find the domain

The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists.

And for (g o h)(x) = x - 1, we know there will be an answer for all real number values of x. Hence,

Domain = (-∞, ∞)

Hope this Helps!!!


Related Questions

You will have $ in ten years if you set aside $500 a year at 10%.

Answers

Compound interest: $8,765.58

Sandra purchased $1,200 worth of electronic equipment on her new credit card, with an annual interest rate of 14.99%. If she has no other charges on the card and does not pay off the balance at the end of the month, how much money will she owe the credit card company after 1 month? Estimate the interest using the monthly periodic rate.

Answers

Given data:

The given amount of equipment purchased by the Sandra is A=$1,200.

How do you solve this problem?

Answers

The area of the figure given below is 56.6 units² .

In the question ,

a figure is given

where there is one rectangle and two semicircles .

the length of the rectangle is given as 11 units

and the breadth of the rectangle is = 4 units

we know that the area of the rectangle is = length × breadth

on substituting the values ,

we get

area = 11 × 4

area = 44 units²

the radius of the semicircle = 2 units

the are of the semi circle = (1/2)*π*r²

since there are two semicircle , the area of the two semi circle will be

= 2 * (1/2)πr²

= π*r²

On substituting , the value of radius = 2 ,

we get the area is = 3.14*(2)² = 12.56       using π = 3.14

so the area of the complex figure is = 44 + 12.56 = 56.56

≈ 56.6

Therefore , The area of the figure given below is 56.6 units²  .

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What is the solution to the inequality? 3(x+5)>12

Answers

Answer:

x>-2

Step-by-step explanation:

3 times five is fifteen, which is larger than 12, so all x needs to be is be bigger negative 2.

True or False: The set of whole numbers is closed under multiplication.

Answers

Answer:  True

Explanation:

Take any two whole numbers you want. Multiplying them together always result in some (other) whole number.

Examples:

2*3 = 65*7 = 3511*12 = 132

In other words,

(whole number)*(whole number) = whole number

This is why we consider the set closed under multiplication.

the distribution of the number of text messages young adults send per day is approximately normal, with a mean of 128 messages and a standard deviation of 30 messages. based on the distribution, what is the percentage of young adults send fewer than 218 text messages?

Answers

The percentage of young adults who send fewer than 218 text messages is 99.87%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 218

μ = mean = 128

σ = standard deviation = 30

z-score = (218 - 128) / 30

z-score = 90 / 30

z-score = 3

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = 3

probability = 0.9987

To get the percentage, multiply the probability by 100.

percentage = probability x 100

percentage = 0.9987 x 100

percentage = 99.87%

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andrea wants to cut a board into three pieces the board is 3 2/3 feet long how long will each piece be

Answers

Answer:

7/6 feet

Step-by-step explanation:

The board is 3 and 1/2 feet long, so it is 3+(1/2) feet long.

3 + 1/2 = ?

3/1 + 1/2 = ?

6/2 + 1/2 = ?

(6 + 1)/2 = ?

= 7/2

3 + 1/2 = 7/2

In other words, the board is 7/2 feet long.

Now we have to divide by 3 since Andrea is cutting the board in three pieces.

So:

(7/2)/3       or        (7/2) ÷ 3       or        [tex]\frac{\frac{7}{2}}{3}[/tex]        or     (7/2) × (1/3)

= 7/(2×3)

= 7/6

So we found that each piece (after cutting the board into three pieces) is 7/6 feet long.

Find the volume of this object.Use 3 for π.Volume of a CylinderV= πr²h4 ft9 ft5 ft5 ft5 ftVolume of aRectangular PrismV = whV ≈ [?]ft³Enter

Answers

Mathematics → Solid Figures → Volume

The volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

In this question,

r = 2 ft (4/2 =2)

h = 5 ft

Then, the volume of the cylinder is (Vc):

[tex]\begin{gathered} Vc=\pi *2^2*5 \\ Vc=\pi *4*5 \\ Vc=20\pi \end{gathered}[/tex]

Using π = 3:

[tex]\begin{gathered} Vc=3*20 \\ Vc=60ft^3 \end{gathered}[/tex]

The volume of a rectangular prism (Vr) is:

[tex]Vr=lwh[/tex]

In this question:

l = 9 ft

w = 5 ft

h = 5 ft

Then, the volume of the rectangular prism is:

[tex]\begin{gathered} V=9*5*5 \\ V=225ft^3 \end{gathered}[/tex]

The volume of the object (V) is the sum of the volumes:

[tex]\begin{gathered} V=Vc+Vr \\ V=60+225 \\ V=285ft^3 \end{gathered}[/tex]

Answer: 285 ft³.

Ms. lange drove about 150kms east from la sarre, to senneterre, quebec. she drove another 75kms north to lebel-sur-quevillon, what is the approximate air distance from la sarre to lebel-sur-quevillon

Answers

The approximate air distance from La Sarre to Lebel-sur-Quevillon is 167.71 km.

To determine the air distance from La Sarre to Lebel-sur-Quevillon, analyze the path she has traveled.

When she drove east and drove another north, the total path she ave traveled is similar to the sides of a right triangle, where the distance from the start and end point is the hypotenuse. (see photo attached)

Using Pythagorean theorem, solve the distance from La Sarre to Lebel-sur-Quevillon.

c² = a² + b²

where a = 150 km and b = 75 km

distance² = 150² + 75²

distance² = 22500 + 5625

distance² = 28125

distance = 167.71 km

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[tex]x + 49 \ \textgreater \ 28[/tex]I need it now please

Answers

[tex]x+49>28[/tex]

To solve an inequation for x you have to follow the same procedure you follow when solving equations, with exception that when you multiply/divide by a negative number the direction of the inequality gets inverted.

So to solve the given inequelity for x, you have to pass "+49" to the other side of the expression. To do so, subtract it from both sides of the expression:

[tex]\begin{gathered} x+49-49>28-49 \\ x>-21 \end{gathered}[/tex]

The result of the inequality is x > -21

cooling towers are used to remove or expel heat from a process. a cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. what is the width of the cooling tower at the base of the structure? round your answer to the nearest whole number. 100 meters 50 meters 48 meters 40 meters

Answers

The width of the cooling tower at the base of the structure is (D) 40 meters.

Where are cooling towers located?Typically, cooling towers are found on rooftops or other outdoor locations. Lower cooling system efficiency occurs as a result of operation and maintenance specialists commonly ignoring them because they are typically out of sight.

Now, calculate the cooling tower's width:

Equation: x2/400 given (y-90)

²/1600=1

Calculating the width:

Width of the cooling tower: 2400Width of cooling tower = 22040-meter cooling tower width

Therefore, the width of the cooling tower at the base of the structure is (D) 40 meters.

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the mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5000. the distribution of incomes is skewed to the right. suppose that we select samples of size 43. determine whether the sampling distribution for is normal (or approximately normal) and give its mean and standard deviation.

Answers

The sampling distribution for is normal (or approximately normal) and give its mean and standard deviation is  the mean is $28520 and its standard deviation is $762.5.

The notion of mean is crucial in both mathematics and statistics. The mean is the average or most frequent value among a set of numbers. It is a statistical measure used to determine the median and mode of a probability distribution's central tendency. It's also known as an expected value. Sum of all observations divided by the total observations equals the mean. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.  

Given information :

Mean annual income = $28540

Standard Deviation = $5000

Given sample size is n = 43

Sample size doesn't affect the mean, hence the mean remains the same

New mean = $28540

New standard Deviation = Standard Deviation / n^1/2 = 5000/ (43)^1/2

New standard Deviation = 5000/6.5574 = $762.5

Hence, The mean is $28520 and its standard deviation is $762.5

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question
A group of friends’ dinner bill before tax is $122.75. The sales tax rate is 8%. They want to leave an 18% tip after tax. What is their total dinner bill, including tax and tip, rounded to the nearest cent?
Responses

Answers

The cost of the total bill for the friends is $154.665.

What is a tax?

This implies a levy that's paid to the government by individuals and firms.

From the information, the.group of friends’ dinner bill before tax is $122.75, sales tax rate is 8% and they want to leave an 18% tip after tax.

The total bill will be:

= Cost of food + Tax + Tip

= $122.75 + (8% × $122.75) + (18% × $122.75)

= $122.75 + $9.82 + $22.095

= $154.665

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PLEASE HELP 50 POINTS

Use matrices A, B, and C to find the following:

A+B

C-B

A+B+C​

Answers

By solving matrices  we get,

[tex]A+B= \left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] , C-B=\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right] \\\\\\\\A+B+C = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]

A matrix is a rectangular array or table that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity. As an illustration, consider a matrix with two rows and three columns.

Adding matrices, subtracting matrices, and multiplying matrices are the three algebraic operations that make up the majority of matrix operations. Array of numbers or expressions arranged in rows and columns is called a matrix. The field of mathematics has several useful uses for matrices.

Here the matrices A, B and C are given in the question, so we use matrix addition and matrix subraction operations to solve the question.  

When solving by using the matrices solving method we get

   

[tex]A+B=\left[\begin{array}{ccc}5&7\\-1&6\\3&-9\end{array}\right] +\left[\begin{array}{ccc}8&3\\5&1\\4&4\end{array}\right]= \left[\begin{array}{ccc}5+8&7+3\\-1+5&6+1\\3+4&-9+4\end{array}\right]=\left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] \\[/tex]

[tex]C-B = \left[\begin{array}{ccc}0-8&4-3\\-2-5&5-1\\7-4&-1-4\end{array}\right] =\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right][/tex]

[tex]A+B+C= \left[\begin{array}{ccc}5+8+0&7+3+4\\-1+5+-2&6+1+5\\3+4+7&-9+4+-1\end{array}\right] = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]

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given angle 1 is congruent toangle 3 and angle 12 is congruent to angle 8 prove l is parallel to m

Answers

Given that;

[tex]\angle1\cong\angle3,\angle12\cong\angle8[/tex]

Line a and b are two straight lines cut by two transversal lines l and m.

The tranversal line l shows that;

[tex]\begin{gathered} \angle8\cong\angle6 \\ \end{gathered}[/tex]

But also;

[tex]\angle8\cong\angle12[/tex]

Thus,

[tex]\angle6\cong\angle12[/tex]

Then, if two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.

Thus, line l is parallel to m

according to a survey of advanced curriculum high school students, the mean time spent studying each day is 6.4 hours. assume the standard deviation is 0.80 hours and that the probability distribution is normal. what is the 80th percentile for number of hours spent studying each day? round your answer to 2 digits after the decimal.

Answers

The 80th percentile for the number of hours spent studying each day is 7.07 hours.

A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are dispersed when the standard deviation is high.

The percentage of scores below a given value is shown by percentiles. They provide information about how a score compares to other scores.

Given Data :

Mean time (u) = 6.4 hour

Standard Deviation = 0.80 hour

It is given that the probability distribution is normal.

The formula for the z-score is z =( x- mean)/standard deviation

For the 80th percentile,  the z value from the z table is 0.842.

We have,

0.842 = (x - 6.4)/0.8

0.842*0.8 = x - 6.4

0.6736 =x - 6.4

x = 0.6736 + 6.4

x = 7.0736

x = 7.07

Hence, the 80th percentile for the number of hours spent studying each day is 7.07 hours.

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15 points to help me out.

Answers

Answer:

can't answer the first two questions as figure is not mentioned in picture

3. -3

4. 6

5. 3/4

6. -3

7. 5

8. 3

Step-by-step explanation:

Vince is cutting a rectangular piece of pegboard to use in his garage for organization. The width of the pegboard is 8 inches less than half the length. The perimeter of the pegboard is 224 inches. What is the length of the pegboard?

Answers

The length of the rectangular pegboard is 80 inches

What is a rectangle?

A rectangle is a polygon with four sides in which two opposite sides are parallel and equal

How to find the length of the rectangular pegboard?

Since Vince is cutting a rectangular piece of pegboard to use in his garage for organization. The width of the pegboard is 8 inches less than half the length. The perimeter of the pegboard is 224 inches.

Let

L = length of pegboard and W = width of pegboard.

Since the width of the pegboard is 8 inches less than half the length, we have that

W = L/2 - 8

Also, since the pegboard is a rectangle, its perimeter, P = 2(L + W)

Now, its perimeter P = 224 inches.

So, 2(L + W) = 224

L + W = 112

Now, substituting the width, W into the equation, we have

L + W = 112

L + L/2 - 8 = 112

L + L/2 = 112 + 8

L + L/2 = 120

3L/2 = 120

L = 120 × 2/3

L = 240/3

L = 80 inches

So, the length of the pegboard is 80 inches

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are 60/55 and 7/42 porportinal

Answers

No. You get from 60/55 to 7/42. It’s not a constant proportionality

3. Use the following map to calculate distance between the cities. Calculate the distance between Brookline and Charleston.

Answers

The answer is the second option which is 5.

. Represent Real World Problems Lorena and Benita are saving
money. They began on the same day. Lorena started with $40. Each
week she adds $8. The graph describes Benita's savings plan. Which
girl will have more money in 6 weeks? How much more will she
have? Explain your reasoning.

Answers

We need to know how to read a graph inorder to solve the problem. At the end of 6 weeks, Lorena will have more money, she will have $8 more than Benita.

We know that Lorena started with $40 and she added $8 every week. We need to find out the final amount she has at the end of 6 weeks. For Benita, we can see from the graph that she started with $50, since the graph starts from $50, and if we observe the amount after every week we can see that she adds $5 every week to the savings. We can directly say from the graph that the final amount Benita has after 6 weeks is $80.

amount Lorena has after 6 weeks = 40+ (6x8)=40+48=$88

Therefore we can see that Lorena will have more money after 6 weeks and she has $8 more than Benita.

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What is the answer for the equation:
7x+31 = 8x -1/3(27x+3) ?

Answers

The answer for the equation:

7x+31 = 8x -1/3(27x+3) is x=-4

passes through (1,4) and perpendicular to y=2x-7

Answers

The equation of the line is found as y = -x/2 + 9/2.

What is meant by the equation of the line?This is an x and y equation for whom solution set is just a line in the (x,y) plane. The "slope-intercept" form is the most commonly used in algebra. y = mx + b. In effect, x is used as a parameter, and y is written as just a function of x: y = f(x) = mx+b.

For the given question;

The equation of the perpendicular line is given as;

y = 2x - 7

Compare the equation with the standard form of slope intercept.

y = mx + c

m = slope and c is the y intercept.

m1 = 2

Now, the line is perpendicular, thus the relation between both slopes is;

m1 × m2 = -1

m2 = -1/2

The passing coordinates of the line is (1. 4).

Find the equation using formula.

y - y1 = m2(x - x1)

y - 4 = (-1/2) (x - 1)

Simplifying,

y = -x/2 + 9/2

Thus, the equation of the line is found as y = -x/2 + 9/2.

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If p and q are integers and pq +p is an odd number, which of the following numbers must be even?

1-p
2-q
3- pq-3
4- p^2

Answers

Answer:Answer: number 2 is correct

the interest rate on a five-year certificate of deposit (cd) for banks in south florida in 2018 was normally distributed with a mean of 2.28 percent and a standard deviation of 0.37 percent. 1. what proportion of these banks had an interest rate less than 2.5 percent?

Answers

The proportion of these banks that had an interest rate less than 2.5 percent is 0.724.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 2.5

μ = mean = 2.28

σ = standard deviation = 0.37

z-score = (2.5 - 2.28) / 0.37

z-score = 0.22 / 0.37

z-score = 0.5946

To get the proportion, find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = 0.5946

By interpolating the values,

probability = 0.724

proportion = 0.724

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How many times larger is (1.76 x 10^1) than (8 x 10^-1)

Answers

Answer:

14.7 times bigger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are  (1.176 x 10¹) than (8 × 10-¹).

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

To compare numbers this way, we divide.

(1.76 × 10^1) / (8 × 10^-1) =

= 1.76/8 × 10^1 / 10^-1

= 0.22 × 10^(1 - (-1))

= 0.22 × 10^2

= 22

Use matrices to write the equation of the function in the form y = Ax? + Br + C that contains the points (0, 1), (-2, 15), (3,10).

Answers

The most appropriate choice for matrices will be given by-

Required Equation

[tex]y = 2x^2 - 3x + 1[/tex]

What are matrices?

If the numbers are arranged in the form of rows and columns, then the arrangement is called matrix.

Here,

The equation is [tex]y =Ax^2 + Bx + C[/tex]

The function contains the points (0, 1), (-2, 15), (3,10).

On putting these coordinates in the equation,

C = 1

[tex]15 = A(-2)^2 + B(-2) + 1\\4A - 2B = 15-1\\2(2A - B ) =14\\2A - B = \frac{14}{2}\\2A -B = 7[/tex]................ (1)

[tex]10 = A(3)^2 + B(3) + 1\\9A + 3B = 10-1\\3(3A + B ) =9\\3A + B =\frac{9}{3}\\3A + B = 3[/tex].................... (2)

Here matrix method will be used

Let

[tex]P = \begin{bmatrix} 2 & -1\\ 3 & 1 \end{bmatrix}[/tex], [tex]Q = \begin{bmatrix} x \\ y\end{bmatrix}[/tex], [tex]R = \begin{bmatrix} 7\\3 \end{bmatrix}[/tex]

PQ = R

[tex]Q = P^{-1}R[/tex]

Adjoint P =

[tex]\begin{bmatrix} 1 & -3 \\ 1 & 2 \end{bmatrix}^T\\\\\begin{bmatrix} 1 & 1 \\ -3 & 2 \end{bmatrix}[/tex]

Det P = [tex]\begin{vmatrix} 2 & -1\\3&1\end{vmatrix}[/tex]

          = [tex]2\times 1 - 3 \times (-1)\\5[/tex]

[tex]P^{-1} = \frac{1}{5}\begin{bmatrix} 1 & 1\\-3 &2\end{bmatrix}[/tex]

[tex]Q = \frac{1}{5}\begin{bmatrix} 1 & 1\\-3 &2\end{bmatrix}\begin{bmatrix}7\\3\end{bmatrix}[/tex]

[tex]Q = \frac{1}{5}\begin{bmatrix} 10\\-15\end{bmatrix}\\Q= \begin{bmatrix} 2\\-3\end{bmatrix}[/tex]

A = 2, B = -3

Required Equation

[tex]y = 2x^2 - 3x + 1[/tex]

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Complete Question

Use matrices to write the equation of the function in the form [tex]y = Ax^2 + Bx + C[/tex]that contains the points (0, 1), (-2, 15), (3,10).

WILL GIVE BRAINLIEST find center, vertices, and foci of the ellipse.

Answers

The center is (5, 1)

The vertices is (5, 1 - 4 square root of 2) and (5,1 + 4 square foot of 2)

The foci is (5, 1 + 2 square root of 6) and (5, 1 - 2 square root of 6)

Hope this was helpful :)

The line perpendicular to y=1/2x-2 that passes through the point (0,3)

Answers

⇒For perpendicular lines when their gradients are multiplied they have to give -1, in this case we are given a line with gradient [tex]\frac{1}{2}[/tex] meaning the gradient of the line perpendicular to it will be -2 since

[tex]-2*\frac{1}{2} =-1[/tex]  this means that the gradient of the new line will be -2

⇒Now we have a point and  gradient.

⇒And we know that the general equation for a straight line is y=mx+c

[tex]3=-2(0)+c\\3=c\\c=3[/tex]

The equation of the line perpendicular to the given one is

y=-2x+3

GOODLUCK!!

3What is the inverse of the function h(x) = - 2 + 12?h-'(x) =(2

Answers

We have the next function

[tex]h(x)=\frac{3}{4}x+12[/tex]

First we need to make h(x)=y

[tex]y=\frac{3}{4}x+12[/tex]

Then we make x=y and y=x

[tex]x=\frac{3}{4}y+12[/tex]

Then we isolate the y

[tex]x-12=\frac{3}{4}y[/tex][tex]4(x-12)=3y[/tex][tex]y=\frac{4(x-12)}{3}[/tex][tex]y=\frac{4x-48}{3}[/tex]

Therefore the inverse function is

[tex]h^{-1}(x)=\frac{4x-48}{3}[/tex]

Other Questions
Read the excerpt from "To the Public by William Lloyd Garrison.During my recent tour for the purpose of exciting the minds of the people by a series of discourses on the subject of slavery, every place that I visited gave fresh evidence of the fact, that a greater revolution in public sentiment was to be effected in the free statesand particularly in New-Englandthan at the south. I found contempt more bitter, opposition more active, detraction more relentless, prejudice more stubborn, and apathy more frozen, than among slave owners themselves.Which statement best explains how figurative language affects the rhetorical appeal?The personification supports pathos by showing the authors disappointment with the North.The irony supports ethos by showing the authors knowledge about how the North and South are different.The alliteration supports ethos by blaming the North for the actions of the whole country.The asyndeton supports pathos by detailing the Norths role in maintaining the institution of slavery in the country. Given Hx)= vx and g(x) = \ ,which is the graph of (fg)(x)?-2-222&DONE -3x 10 = 32Help me I need the answer a1. The amount of milk in a one-gallon milk container has a normal distribution with a meanof 1.07 gallons and a standard deviation of 0.12 gallons.Calculate and interpret the z-score for exactly one gallon of milk. 3 1/2 47/815/88/73/4 This data can best be modeled withwhich type of function?018,250118,730a. Linearb. QuadraticC. Exponential219,210319,690420,170 Which expression is equivalent to 3 x 2 5 2 4 x 2 ? 2x-8/13-5x -5x-8/2x-8 -5x-4/x-2 13-5x/2x-8 If f (x) = 3x2 - 2x + 1, select all of the following that are TRUE?f(-1) = 6f(1) = 0f (2) = 9f(0) = 1Previous had a question about this and i cant find a answer you randomly select one card from a 52 card deck. find the probability of selecting a black three or a red jack Katie has been diagnosed with insomnia. Which of the following treatments is best for Katie in both the short term and the long term?Select one:a.Sleep medicationsb.Stimulant medicationsc.Psychological techniques that focus on changing problem sleep habitsd.Improvements to the sleep environment 1. 3x-4=232. 9-4x=173.6(x-7)=364. 2(x-5)-8= 34 a newsletter publisher believes that more than 79y% of their readers own a laptop. is there sufficient evidence at the 0.020.02 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario. What is 42060 hellllllllppp The polynomial expression x(3x^2+25)(10x^2+4x+6), where x is in inches, can be used to mod the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the [H3O+] of a 0.150 M solution of benzoic acid. How to solve Y=2x-1 2x+y=3 in solving systems using substitution Had someone explain it and I didnt get it still What is important for Spanish speakers? communicate in spanish communicate in english to work go out with friends eric patterson earns $81,000 a year. his monthly expenses total $5,100. what is the minimum amount of money that he should set aside in an emergency fund?