The length of a rectangle is 3 inches greater than the width. (Hint: draw a pictureand label itA. Write a polynomial that represents the area of the rectangle.B. Find the area of the rectangle when the width is 4 inches..

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.

In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.

We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.

Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.

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There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.

According to the newsletter publisher that 33% of their readers own a Rolls Royce.

The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,

Null hypothesis:

H₀ : p = 0.33

Alternative hypothesis:

H₁ : p ≠ 0.33

We reject H₀ at the 0.10 level of significance.

Therefore, There is sufficient evidence at the 0.10 level of significance  that the percentage is not 33%.

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The roots of the equation is 1 and 3.28

The given equation is a quadratic

To find the roots of a quadratic equation, the formula is

[tex]\frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]

The equation is 101x^2+231x-334=-2  we need to find the A,B,C

101x^2+231x-332 = 0

here a is 101, b is 231, and c is -332

[tex]\frac{-b + \sqrt{b^{2} - 4ac } }{2a}\\\frac{-231 + \sqrt{231^{2} - 4(101)(-332) } }{2(101)}\\\frac{-231 + \sqrt{53361 + 134128 } }{202}\\\frac{-231 + \sqrt{187489 } }{202}\\\\\frac{-231 + \sqrt{187489 } }{202}\\\\\frac{-231 + 433 }{202}\\\\=\frac{202}{202}\\\\ 1[/tex]

[tex]\frac{-b - \sqrt{b^{2} - 4ac } }{2a}\\\frac{-231 - \sqrt{231^{2} - 4(101)(-332) } }{2(101)}\\\frac{-231 - \sqrt{53361 + 134128 } }{202}\\\frac{-231 - \sqrt{187489 } }{202}\\\\\frac{-231 - \sqrt{187489 } }{202}\\\\\frac{-231 -433 }{202}\\\\=\frac{664}{202}\\\\ 3.28[/tex]

Therefore, the roots of the equation is 1 and 3.28

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Step-by-step explanation:

The sum of measure of supplementary angles = 180°

The measure of angle 1 is given as 10x + 5 and the measure of angle 2 is given as 6x - 1

10x + 5 + 6x - 1 = 180 add like terms

16x + 4 = 180 subtract 4 from both sides

16x = 176 divide both sides by 16

x = 11

To find the measure of each angle, relace x with 11

angle 1,

10*11 + 5 = 115

angle 2,

6*11 - 1 = 65

Using the concept of area, we got 165 bags is the smallest number of bags there groundskeeper must buy to cover the circular field.

The branch of mathematics which deals with measuring is known as Mensuration. It was basically first used for land surveys and other civic works in  Egypt. The father of mensuration is known as Archimedes. Mensuration is a discipline of mathematics which studies the measurements of various geometrical forms  possible and their areas, perimeters, and volumes, among other things.

Diameter of the field = 290 feet, radius = 145 feet

Area of the circular field =[tex]\pi r^{2}[/tex]

=>[tex]\pi[/tex]×145×145 =66018.5 square feet.

No of bags to be brought = 66018.5/400=165bags,

Hence, the smallest number of bags is 165 which groundskeeper must buy to cover the circular field.

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Answer:

69 mph

Explanation:

The equation that represents this situation is:

We are required to determine Brian's average speed on the return drive.

To do this, we first find the value of x.

Using the value of x, we find the average speed on the return drive.

Therefore, the average speed on the return drive will be 69 mph.

The boxes of candy sold by Roger are 29/30.

According to the question,

We have the following information:

Roger sold 1/3 as much candy as Sally sold.

Sally sold [tex]2\frac{9}{10}[/tex] boxes of candy.

Now, first we will convert the boxes of candy sold by Sally from the mixed fraction.

(More to know: there are three kinds of fraction: mixed fraction, proper fraction and improper fraction. We need to change mixed fraction in most of the cases to solve the questions further.)

We have:

29/10

Now, we know that the boxes of candy sold by Roger is 1/3 of 29/10.

So, we have the following expression:

[tex]\frac{1}{3}* \frac{29}{10}[/tex]

29/30

Hence, the boxes of candy sold by Roger is 29/30.

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Explanation

Step 1

Let

c represent the original price

if the boutiques quadruples the price of the items it purchases for resale.​then

400 percent

Step 2

expressions

4c and 400%c

I hope this helps you

Using division, we know that the number of cars needed by 3,376 tourists is 422.

So, the total number of groups of tourists = 3376

To find the number of cars needed. Hence,

Therefore, using division we know that the number of cars needed by 3,376 tourists is 422.

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Answer:

the last choice is the 6th term of expression

Step-by-step explanation:

all the work and steps is in the pic go check it out sorry if wrong and have a  wonderful day:)

3.5% of all sold units have been returned so far. The probability that at most 6 units were returned out of 200 sold unit records is 0.7323.

Given that,

For an online store, Stephan is evaluating the data on product returns. 3.5% of all sold units have been returned so far.

We have to find what is the probability that at most 6 units were returned out of 200 sold unit records.

From binomial,

Binomial to normal approximations without continuity factor Sample size ,

n = 200

Probability of an event of interest,  

p = 0.035  

P(0<=n<=2)

=0.7323

Therefore, the probability that at most 6 units were returned out of 200 sold unit records is 0.7323.

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Answer:

{−6,−4}

Step-by-step explanation:

the domain is all the x- values of the points.

so -6 and -4 are repeated so they are the domain of the points.

The time Nancy spent working on her ela homework is equal to 2 hours.

The time Nancy spent working on her ela homework can be calculated by multiplication.

We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.

As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;

2 1/2 = 5/2 = 2.5 hours

Now multiplying it by the fraction of her time spent on ela homework,

Time spent on ela homework = 4/5 × 2.5

Time spent on ela homework = 10/5

Time spent on ela homework = 2 hours.

Hence Nancy spent 2 hours working on her ela homework.

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Marsha must claim for itemized deductions.

Given,

Last year's gross income is $56,800.

Medical expenses = $4900

State and local income taxes paid = $3100

The mortgage interest paid = $1940

Charitable contributions = $530

Non-reimbursed work expenses = $1200

Standard deduction = $5700

The sum of all the expenses of last year = $4900 + $3100 + $1940 + $530 + $1200 = $11,670

And the Standard deduction is $5700.

Which is, $11,670 - $5700 = $5970 lesser.

Therefore, Marsha must claim for itemize deductions rather than the standard deductions.

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The solution b = 1.4 represents the weight of one bag of bean.

In the question;

it is given that

weight of cardboard box when empty = 0.6 pounds

number of bean bags = 15 bags

weight of rice bag = 4 pounds

let the number of bean bags = b

total weight of carboard box with contents= 25.6 pounds

So , according to the question

0.6 + 15b + 4 = 25.6

solving further , we get

15b+4.6 = 25.6

15b = 25.6-4.6

15b = 21

b = 21/15

b = 1.4

Therefore , the solution b = 1.4 represents the weight of one bag of bean.

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Answer:

The cost of cupcakes and cookies are;

Explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost $19.75.

Two cupcakes and four cookies cost $17.50.

Let's solve the simultaneous equation by elimination;

multiply equation 1 by 2;

subtract equation 2 from equation 3;

since we have the value of x, let substitute into equation 1 to get y;

Therefore, the cost of cupcakes and cookies are;

Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.

We want to find x such that:

We'll use the second right triangle to show what we want.

First, given a triangle:

We know that the hypotenuse will be:

But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.

and

Now look at the triangle we have:

We can easily check that:

So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!

Therefore, we have:

And the solution to x is:

Answer:

Step-by-step explanation:

if a word ends in a consonant plus "y" , we change "y" to "i" and add "es" to form the plural; "er" for comparative and "est" for superlative

noisiest and noisier

Answer:

Step-by-step explanation:

5

Answer:

The slope is 5/3

Step-by-step explanation:

y = 5/3x - 4

The equation is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 5/3  and the y intercept is -4

The greatest common factor of a polynomial is the largest expression that divides all of the terms of the polynomial. In this case, we have:

First, find the GCF of the coefficients of the terms. The coefficients are 2, 14 and 6, their GCF is 2.

On the other hand, notice that the factor (c+y) is a common factor for all three terms. Find the greatest power of (c+y) that divides all the terms. Since the lowest power of (c+y) in the expression is 2, then, the greatest power of (c+y) that divides all the terms is (c+y)^2.

The GCF of the expression is the product of the GCF of the coefficients and the GCF of the factors with variables.

Then, the GCF of the expression is:

Factor out 2(c+y)^2 from the expression:

Therefore, the answer is option A and the expression inside the box should be:

The statement mentions that the pool started empty, which implies that the graph must start at the point (0,0).

Then, the pool slowly filled, so the amount of water in the pool remained constant when Janie turned off the water and went for a walk.

Finally, thanks to a truck in the neighborhood the pool filled up quickly, and when it was filled the amount of water remained constant.

Therefore, the graph that best represents this situation is the one shown in option B.

From the translation described, If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at (-4, 8). See the justification for the same below.

A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect. Angles, polygons, polyhedra, and graphs are the most typical places to find vertices. Nodes are another name for graph vertices.

The explanation of the translation is given as follows:

According to the translation rule for translating a point h units left is given as:- (x, y) → (x-h, k)

The translation rule for translating point k units up is given as:

(x,y) → (x, y+k).

Since ∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at (1, 5).

Then,

The vertex A' =

A (-1, 2) → (-1 -3, 2+6)

= (-4, 8)

Therefore, the vertex A' is at (-4,8).

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From the translation described, the vertex A' is at the point (-4,8).

A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect.

Angles, polygons, and graphs are the most typical places to locate the vertices.

The explanation of the translation will be:

Based on the translation rule for translating a point h units left is follows as

(x, y) → (x-h, k)

The translation rule for point k units up is follows as:

(x,y) → (x, y+k).

Since ∆ABC is translated to the 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at; (1, 5).

The vertex A' ;

A (-1, 2)

(-1 -3, 2+6)

= (-4, 8)

Therefore, the vertex A' is at the point (-4,8).

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First, we need to find the total frequency. This is given by adding all the given frequencies. That is,

and the relative frequency is the division of the frequency of the corresponding interval by the total frequency,

Therefore, the answers are:

a) 4/22 but written in simple form:

b)

A

1) Since the sum of the interior angles of any triangle is 180º, and this is an isosceles triangle

2) Then the other angle, has the same measure 50º since this is an isosceles triangle, at least two congruent sides, and two congruent angles.

We can finally write

x+88 +50 +50 = 180

x +188 =180 subtract 188 from both sides

x= 180-188

x= -8

3) So x=-8 is the answer.

To solve this question, you have to look for the answers in the table.

Let's analise each part of the question to solve it:

(a) f(1) =

f(1) means the output of the function [f(x)] when x = 1.

Looking for x =1 in the table, you can see that f(x) = 0.

f(1) = 0.

(b) f(x) = 3, x =

Now, you have to find the input (x) when the outpout [f(x)] is 3.

Looking for f(x) = 3, you can see that x = 7.

f(x) = 3, x = 7.

(c) f⁻¹(0) =

Now, you have to evaluate the inverse function.

To look for the values of the inverse function, x will be the output and f⁻¹ will be the input.

To look for f⁻¹(0), look for f(x) = 0 (input) and the output will be 1

f⁻¹(0) = 1.

(d) f⁻¹(x) = 7; x =

Again, you have an inverse function. So, 7 will be the input in the table (x). x is 7 (output).

f⁻¹(x) = 7; x = 3.

Answer:

u = 3

Step-by-step explanation:

Step 1: Distribute 5 in u - 5

[tex]\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}[/tex]

Step 2: Add like terms together (u-term)

[tex]\displaystyle{11u-25=8}[/tex]

Step 3: Add both sides by 25

[tex]\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}[/tex]

Step 4: Divide both sides by 11

[tex]\displaystyle{\dfrac{11u}{11}=\dfrac{33}{11}}\\\\\displaystyle{u=3}[/tex]

Answer Check

Step 1: Substitute u = 3 in the equation

[tex]\displaystyle{5(3-5)+6(3)=8}[/tex]

Step 2: Evaluate & Simplify

[tex]\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}[/tex]

Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.

Please let me know if you have any questions!

Answer:

By adding the gravity of the earth ang subtracting the number of the enumeration and multiply the square root of need to be the first divorcee you know that I love ckicen nuggets

Step-by-step explanation:

Me to mama o sige na kain na kau