Simplify to create an equivalent expression.
-3(2 + 4k) + 7(2k - 1)
Choose 1 answer:
2k - 13

Answers

Answer 1

Answer:2k-13

Step-by-step explanation:

Answer 2

Answer:

2k-13.

Step-by-step explanation:

We can simplify this equation using the Distributive Property:

-3(2 + 4k) + 7(2k-1) becomes

-6 - 12k + 14k -7

Combining like terms gets us:

2k-13.


Related Questions

find the value of this expression if x=-2. x-4/x

Answers

Step-by-step explanation:

Simple.

Putting value of x

2 - 4/2

2 - 2

= 0

put this on order from greatest to least pls​

Answers

Answer:

0.497 < 1/2 < 0.55 < 3/5 < 6/7

Step-by-step explanation:

Order from Least to Greatest

1: Using the given inputs

2: Rewriting these inputs as decimals

3: Sorting this table by decimal values in order from least to greatest

4: Therefore, the sorted inputs in order from least to greatest is

Answer: 0.497 < 1/2 < 0.55 < 3/5 < 6/7

Hope this helps.

James invests $100 at the beginning of each quarter in stock ABC. According to the table below, how many shares of ABC will James own at the end of the year?



A.
44 shares
B.
37 shares
C.
38 shares
D.
41 shares

Answers

The correct answer would be d

Answer:

ABC | Stock price

Q1 | $10.50

Q2 | $11.50

Q3 | $9.00

Q4 | $10.50

Step-by-step explanation:

Answer is 37 shares on AP3X

The volume of the prism shown is 84 cubic yards. What is the Height of the prism

Answers

Answer:

4 yd

Step-by-step explanation:

If l×w×h=v, then v÷l÷w=h

84÷7÷4=h

12÷3=h

h=4

The height of the prism is 4 yards.

Brian takes out a $1,600 discounted loan calculated using a simple interest rate of 12% for a period of 15 months. How much money does Brian receive from the bank when the loan is drawn down? Give your answer in dollars to the nearest dollar.

Answers

Answer:1360

Step-by-step explanation:

a delivry truck is transporiting boxes of two sizes large and small the combined weight of a large box and a small box is 65 pounds the truck transporting 55 large boxes and 65 small boxes if the truck is carrying a totall of 3774 pounds of boxes how much does each type of box way

Answers

Answer: S = 20 lbs L = 45 lbs.  Both answer have been rounded from below

Step-by-step explanation:

L+S = 65 lbs

55L + 65S = 3774 lbs

55L+55S = (65)(55) = 3,575 lbs

10S = 199 lbs

S = 19.99 (round to 20)

L + S = 65

L + 19.99 = 65

L = 45.01 (round to 45)

Wich is a factor of x^2+ 5x-24?

Answers

Answer:

(x−3)(x+8)

Step-by-step explanation:

Let's factor x2+5x−24

x2+5x−24

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

Answer:

(x−3)(x+8)

Hope this helps.

surface area of a cylinder 1m radius and 5m side​

Answers

Answer:

37.7 m

Step-by-step explanation:

Use this formula:

A=2πrh+2π[tex]r^{2}[/tex]

Answer: A=12pi

Step-by-step explanation:

A= 2*pi*R*H + 2*pi*R^2

A=2*pi*1*5 + 2*pi*1^2

A=10pi + 2pi

A=12pi

If f(x) = 3x² + 1 and g(x) = 1 - X, what is the value of (f -9)(2)?

Answers

Answer:

  (f -g)(2) = 14

Step-by-step explanation:

You can write the expression for the composite function as ...

  (f -g)(x) = f(x) -g(x) = (3x² +1) -(1 -x)

  (f -g)(x) = 3x² +x

Then for x = 2 ...

  (f -g)(2) = 3(2²) +2

  (f -g)(2) = 14

A recently published article included data from a survey of 2186 hiring managers and human resource professionals. The article noted that many employers are using social networks to screen job applicants and that this practice is becoming more common. Of the 2186 people who participated in the survey, 1312 indicated that they use social networking site to research job applicants. Based on the survey data, is there convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way? Use a significance level of = 0.01 to make your conclusion.

Calculate the test statistic. ​

Answers

Answer:

Step-by-step explanation:

two-thirds = 2/3 = 0.67

We would set up the hypothesis test.

For the null hypothesis,

p = 0.67

For the alternative hypothesis,

p < 0.67

This is a left tailed test.

Considering the population proportion, probability of success, p = 0.67

q = probability of failure = 1 - p

q = 1 - 0.67 = 0.33

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 1312

n = number of samples = 2186

P = 1312/2186 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.67)/√(0.67 × 0.33)/2186 = - 6.96

From the normal distribution table, the probability value corresponding to the z score is < 0.00001

Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, at 1% significance level, there is convincing evidence that fewer than two-thirds of hiring managers and HR professionals use social networking sites in this way.

90-(18+-2)(3)
90-(16)(3)

Answers

Answer:

1: 42

2: 42

Step-by-step explanation:

1: Subtract and plus the first equation using a calculator

2: Now subtract and plus the second equation using a calculator

Answers:

1: 42

2: 42

Hope this helps.

Answer:

hmmmmmm

Step-by-step explanation:

42 easyyyyyyyyyyyyyyyyyyyyyy tyyyyyb y u y y y y y y

A shop has the following offers. Fig rolls (125g packet) Normal price £1.08. Buy one, get 2nd half price

Answers

Step-by-step explanation:

Fig rolls = 1.08

Half price = 1.08 ÷ 2 = 0.54

Total price = 1.08 + 0.54 = 1.62

Answer:

£8.52

Step-by-step explanation:

Fig rolls: £1.08+£1.08=£2.16

Crisps: £1.59+£1.59=£3.18 £3.18x2=£6.36

Total price= £2.16+£6.36=£8.52

Sort each characteristic into the category where it fits best.
will require maintenance costs
will not allow me to build equity
will cost less up front
will have fairly constant payments
will allow me to build equity
will result in increasing payments

Answers

Answer: Buying: fairly constant payment, will build equity, require maintenance cost.

Renting: not build equit, cost less, increasing payments

Step-by-step explanation:

The categories in which these buying and renting characteristics belong are:

Buying:

Will require maintenance costs.Will have fairly constant payments.Will allow me to build equity.

Renting:

Will not allow me to build equity.Will cost less up front.Will result in increasing payments.

What are the characteristics of buying and renting property?

When you buy property, you will have to pay for maintenance because you will own the property. You will however, build equity even though you will have to make fairly constant mortgage payments.

When you rent a house, the upfront cost will be less but you won't be able to build equity and there will be increasing payments as rent increases.

Find out more on renting property at https://brainly.com/question/26855888.

9. For the following vectors, x and y, calculate the indicated similarity or distance measures. a. (a) x : (0,0,1,1), y : (2,2,2,2) cosine, correlation, Euclidean b. (b) x : (0,1,0,1), y : (0,1,0,1) cosine, correlation, Euclidean, Jaccard c. (c) x : (1,1,0,1), y : (-1,0,-1,0) cosine, correlation, Euclidean d. (d) x : (1,0,0,1,0,1), y : (0,1,1,0,0,1) cosine, correlation, Jaccard e. (e) x : (2,1,0,2,0,3), y : (1,1,1,0,0,1) cosine, correlation

Answers

Answer:

The answer to this question can be defined as follows:

a)

cosine: 0.707

correlation: 0

Euclidean: 3.16

b)

cosine: 1

correlation: 1

Euclidean: 0

Jaccard: 1

c)

cosine: -0.4082

correlation: 0.5774

Euclidean: 2.64

d)

cosine: -0.333

correlation:  -0.3333

Jaccard: 0.5

e)

cosine: -0.7075

correlation: 0.2132

Step-by-step explanation:

a) cosine:

[tex]x \times y( 0 \times 2+ 0 \times 2 +1 \times 2+1 \times 2) = 4\\\\ x= \sqrt{2} = 1.414\\\\y= \sqrt(16)=4\\\\\cos (x\times y) = \frac{x\times y}{x\times y}\\\\\cos (x\times y) = \frac{4}{1.414\times 4}\\\\= 0.707[/tex]

correlation:

[tex]\ corr(x,y) =[\frac{covariance (x,y)}{standec(x) \times standdev(y)}]\\X \ mean = 0.5\\Y \ mean = 2\\covariance (x,y) = 0\\standdev(x) = 0.5774\\standdev(y) = 0\\corr(x,y) = 0[/tex]

Euclidean:

[tex]d(x,y) = \sqrt((0-2)^2+(0-2)^2+(1-2)^2+(1-2)^2)\\d(x,y) = 4+4+1+1\\d(x,y)= \sqrt(10)\\d(x,y)= 3.16\\[/tex]

by applying above formula we get all the values.

b)

cosine: 1

correlation: 1

Euclidean: 0

Jaccard: 1

c)

cosine: -0.4082

correlation: 0.5774

Euclidean: 2.64

d)

cosine: -0.333

correlation: -0.3333

Jaccard: 0.5

e)

cosine: -0.7075

correlation: 0.2132

An automobile battery manufacturer offers a 31/54 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 31 months but within 54 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that X, the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months.

1. If the manufacturer's assumptions are correct, it would reed to replace _______ of its batteries free.2. The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of ____ results in a 1.07% replacement rate.3. Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

Answers

Answer:

1) If the manufacturer's assumptions are correct, it would reed to replace 0.621% of its batteries free

2) The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of 6.084 results in a 1.07% replacement rate

3) Using the revised standard deviation for battery life, the percentage of the manufacturer's batteries that don't qualify for free replacement but do qualify for the prorated credit = 92%

Step-by-step explanation:

This is a normal distribution problem with

Mean = μ = 45 months

Standard deviation = σ = 5.6 months.

Batteries that fail within the first 31 months get a free replacement and batteries that fail after 31 months but within 54 months get a prorated credit toward the purchase of a new battery.

1) Percentage of batteries that'll qualify for a replacement are the batteries that fail within 31 months. That is, P(X ≤ 31)

To obtain this, we first normalize or standardize 31 months.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (31 - 45)/5.6 = - 2.50

The required probability

P(X ≤ 31) = P(z ≤ -2.50)

We'll use data from the normal probability table for these probabilities

P(X ≤ 31) = P(z ≤ -2.50) = 0.00621 = 0.621%

2) The company finds that the percentage of free batteries replaced is actually 1.07%

P(X ≤ 31) = 1.07% = 0.0107

Let the z value of 31 months under this new normal distribution be z'

P(X ≤ 31) = P(z ≤ z') = 0.0107

From the normal distribution table,

z' = -2.301

z' = (x - μ)/σ

-2.301 = (31 - 45)/σ

σ = (-14) ÷ (-2.301) = 6.084 months

3) Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

That is, P(31 < X ≤ 54)

We first normalize 31 and 54 using the revised standard deviation

For 31

z = (x - μ)/σ = (31 - 45)/6.084 = - 2.30

For 54

z = (x - μ)/σ = (54 - 45)/6.084 = 1.48

The required probability = P(31 < X ≤ 54)

= P(-2.30 < z ≤ 1.48)

Using the normal distribution tables

P(31 < X ≤ 54) = P(-2.30 < z ≤ 1.48)

= P(z ≤ 1.48) - P(z < -2.30)

= 0.93056 - 0.0107

= 0.91986 = 91.986% = 92% to nearest whole number.

Hope this Helps!!!!

Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y'). Choose the x-axis, y-axis, y = x and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs

Answers

y x ya y axis - + x y-axis x-axis 4x-axis

Answer:

Check the table.

Step-by-step explanation:

For edmentum.

similarity statements between triangles

Answers

Answer:

Two triangles are said to be similar if any two corresponding sets of angles are equal and the corresponding sides are in the same ratio.

Multiply (y + 4)(y - 3)

Answers

Answer: y2 + y - 12

Step-by-step explanation:

(y + 4)(y - 3)

y2 -3y + 4y -12

y2 +y -12

What is 656 divided by 78

Answers

Answer:

8.4102

Step-by-step explanation:

656÷78=8.4102

Answer

8.41025641026

When you do long division that comes out to be your answer.

Which is the best estimate of -3/5

Answers

Answer:

-0.6

Step-by-step explanation:

3/5 is 0.6 and the negative makes it -0.6.

Answer:

-0.6

Step-by-step explanation:

What is the y-intercept of the equation 3y + 2x =-21?

Answers

In slope-intercept form, we can classify the following values.

m = slope

b = y-intercept

Turn the equation into slope-intercept form (y = mx + b).

3y + 2x = -21

~Subtract 2x to both sides

3y + 2x - 2x = -21 - 2x

~Simplify

3y = -21 - 2x

~Divide 3 to both sides

3y/3 = -21/3 - 2/3x

~Simplify

y = -7 - 2/3x

~Put into correct order

y = -2/3x - 7

So, the y-intercept is -7

Best of Luck!

Answer: -7

Step-by-step explanation: To identify the y-intercept of the line, we would first convert the equation to slope-intercept form.

In slope-intercept form or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself on the left side of the equation and we do that by first subtracting 2x from both sides to get 3y = -2x - 21.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = -2/3x - 7.

Now our equation is written in slope-intercept form and

we can identity that the y-intercept of this line is -7.

What is the domain of the given function?

{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

Answers

The domain are the values of the variable x for which the function exists so
the answer is
{x|x= -4,-1,3,5,6}

What does it mean to solve an equation or inequality

Answers

Answer:

x is less than or equal to y. An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

please mark brainliest :]

What is 2+2=
Double tap to add text​

Answers

Answer:

2+2= 4

Step-by-step explanation:

1+1+1+1= 4

Tess rolls 2 fair dice. What is the probability of obtaining two 4's?

Answers

1/36 chance because there are 36 different possible ways it could land. And you are only looking for 1 kind (4:4)

Probability of getting two 4's is 1/36

What is required probability ?

Tess rolls 2 fair dice.

The possibilities of first die are 1, 2, 3, 4, 5 or 6.

Also the possibilities of second die are 1, 2, 3, 4, 5 or 6.

So, the number of possibilities is 36, when tess rolls 2 dice together.

Here, possibility of getting two 4's is 1 out of 36

∴ The probability of getting two 4's = 1/36

Learn more about dice problem here :

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analyze the diagram below and complete instructions that follow find the value of x in the value of y ​

Answers

Answer:

The values are [tex]x=2\sqrt{2}[/tex] and [tex]y=2\sqrt{6}[/tex].

Step-by-step explanation:

A right triangle is a type of triangle that has one angle that measures 90°.

In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

                                             [tex]\sin(\theta)=\frac{opposite \:site}{hypotenuse}[/tex]

To find the value of x we use the above definition. From the diagram we can see that the angle is 30º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,

[tex]\sin(30)=\frac{x}{4\sqrt{2} }\\\\\frac{x}{4\sqrt{2}}=\sin \left(30^{\circ \:}\right)\\\\\frac{8x}{4\sqrt{2}}=8\sin \left(30^{\circ \:}\right)\\\\\sqrt{2}x=4\\\\\frac{\sqrt{2}x}{\sqrt{2}}=\frac{4}{\sqrt{2}}\\\\x=2\sqrt{2}[/tex]

To find the value of y we use the above definition. From the diagram we can see that the angle is 60º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,

[tex]\sin(60)=\frac{y}{4\sqrt{2} }\\\\\frac{y}{4\sqrt{2}}=\sin \left(60^{\circ \:}\right)\\\\\frac{8y}{4\sqrt{2}}=8\sin \left(60^{\circ \:}\right)\\\\\sqrt{2}y=4\sqrt{3}\\\\\frac{\sqrt{2}y}{\sqrt{2}}=\frac{4\sqrt{3}}{\sqrt{2}}\\\\y=2\sqrt{6}[/tex]

Answer:

C.

Step-by-step explanation:

trust me its correct on EDGE2021

The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Pi. Round to the nearest tenth of a cubic inch.

Recall the formula V = four-thirds pi r cubed

Answers

Answer:

The volume of air that can be hold is 267.9 inches³.

Step-by-step explanation:

Given that the volume of sphere formula is V = 4/3×π×r³ where r represents radius of sphere. Then substitute the values :

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Let π = 3.14,

Let r = 4,

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]

[tex]v = \frac{4}{3} \times 200.96[/tex]

[tex]v = 267.9 \: {inches}^{3} (near.tenth)[/tex]

The soccer can hold air up to the  volume of 267.9 cubic inches.

What is volume?

The measure of the capacity that an object holds is called volume.

Formula for the volume of sphere

[tex]v = \frac{4}{3} \pi r^{3}[/tex]

Where, v is the volume of sphere

r is the radius of sphere

π = 3.14

According to the given question

The radius of soccer is 4 inches.

Therefore,

The volume of the soccer = [tex]\frac{4}{3}\pi (4)^{3}[/tex]            (shape of soccer is spherical)

Volume of soccer = [tex]\frac{4}{3} (3.14)(64)[/tex] [tex]= 267.946 cubic inches[/tex]

Hence, the soccer can hold air up to the  volume of 267.9 cubic inches.

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Someone please help!!!! I’ll give most brainliest

Answers

Answer:

252 inches squared

Step-by-step explanation:

(6 x 9) + (6 x 15) + (9 x 12) = 252

Craig Milton needs to order for his company int the catalog a 20% traidor discount is offered for a price of $481.60 what is the net price

Answers

Answer:

Net price = $385.28

Step-by-step explanation:

Trade Discount - It is the discount given by buyer to seller, as a reduction in list price, when huge (bulk) orders transactions are made.

List price = 481.60

Trade Discount = 20%

So, Trade Discount = 20 / 100 (481.60) = 96.32

Net price = List price - Trade Discount = 481.60 - 96.32 = 385.28

Factor COMPLETELY the expression 2x^3 - 250

Answers

Answer:

2 (x - 5) (x^2 + 5 x + 25)

Step-by-step explanation:

Factor the following:

2 x^3 - 250

Factor 2 out of 2 x^3 - 250:

2 (x^3 - 125)

x^3 - 125 = x^3 - 5^3:

2 (x^3 - 5^3)

Factor the difference of two cubes. x^3 - 5^3 = (x - 5) (x^2 + x 5 + 5^2):

2 (x - 5) (x^2 + 5 x + 5^2)

5^2 = 25:

Answer: 2 (x - 5) (x^2 + 5 x + 25)

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