Please explain this to me If f(x)=4x-2 than f(x-1)= A. 4x^2-6x+2 B. 4x^2+2x+2 C. 4x+2 D. 4x-6 E. 4x-1

We are given [tex]\triangle ABC \cong \triangle EFG[/tex]

The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure

angle A = angle E

3x+20 = 5x-80

3x-5x = -80-20

-2x = -100

x = -100/(-2)

x = 50

Use this x value to find the measure of angle A

angle A = 3x+20

angle A = 3(50)+20

angle A = 150+20

angle A = 170 degrees

The expression that is equivalent to 6 cubed is: 6 times 6 times 6.

This is true since cubed indicates that the base number is multiplied by itself 3 times.

So, 6^3 equates to 6 x 6 x 6.

Answer:

The expression that is equivalent to 6 cubed is: 6 times 6 times 6.

This is true since cubed indicates that the base number is multiplied by itself 3 times.

So, 6^3 equates to 6 x 6 x 6.

Step-by-step explanation:

Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.

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Hope this helps!

Brainliest would be great!

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With all care,

07x12!

Answer:

The volume of the solid using shell method is V= π(284/7)

Step by step Explanation:

Shell method is a method device to calculate the volume of a solid of revolution.

From the question, we were given

y=x³/₂

y=8,

x=0

then f(x)=8-x³/₂

The volume we were told to find , using the shell formula can be calculated using below formula

V=2π∫xf(x)dx

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

d. 169

Step-by-step explanation:

1/5 * ( 260) = 52

0.15 ( 260)=  39

out of 260 students 39 + 52 = 91 students chose a food / meal

the rest are 260 - 91 = 169 students chose a food other than the two

Answer:

You didn't put an attachment to show what solid you wanted rounded

Step-by-step explanation:

The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.

We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.

Answer:

D. 489

Step-by-step explanation:

489 has the number,

four - 4

eight - 8

and ONE nine - 9

Hope this helps :)

Answer:

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

Step-by-step explanation:

convert feet to yard:

1 yard=3 feet so

12 feet=4 yards

10 feet=10/3 yard=3.33333 yard

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

Answer: 9.52cm

Step-by-step explanation:

The data we have is:

Radius = 7cm

Angle of the arc = 1.36 rads

Now, the perimeter of a full circle is equal to:

P = 2*pi*r

Where 2*pi = 6.28 rads

Then the length of an arc of angle A is

P = A*r

then in our case:

P = 1.36*7cm = 9.52cm

Answer:

The interest is

Step-by-step explanation:

Simple interest is given by

[tex]I = \frac{P \times R \times T}{100} [/tex]

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

[tex]I = \frac{5700 \times 4.5 \times 3}{100} [/tex]

[tex]I = \frac{76950}{100} [/tex]

We have the final answer as

I = $ 769.50

Hope this helps you

Answer:

1. 2/5

Step-by-step explanation:

When it says the ratio is 5 to 2, that means 5 is always first:

5 : 2 is correct

5/2 is correct

10 : 4 is correct (multiplied 2 on both sides)

2/5 is incorrect because 2 is first. That means that this ratio would be 2 to 5, not 5 to 2.

Answer:

2/5

Step-by-step explanation:

because you are not supposed to flip the two numbers. You need to keep them in the same order.

Sorry, if this isn't the greatest answer. Its my first time.

Answer:

Your correct answer is 3.75

Step-by-step explanation:

0.25 x 15 = 3.75

Answer:

3.75

Step-by-step explanation:

You can do this many ways. Write a table that looks like this:

0.25

   15

--------

Ignore all decimal points. Multiply the 5's together and carry the 2 to the next column. Multiply 2 x 5 + 2, write the second digit (which is 2) and carry the 1. Multiply 0 by 5 + 1 = 1, so your top number should be 125. Then, multiply all the numbers by the 1. 5 x 1 = 5; 2 x 1 = 2; 0 x 1 = 0. We now have something that looks like:

   0.25

       15

   --------

    1  2  5

0  2  5

Add these numbers together and add the decimal point 2 numbers from the right, since that's what was in the original decimal.

    1  2  5

0  2  5

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

    3.75

Answer:

Option A is the correct option

Step-by-step explanation:

Since, we know that angle at center is double that of the circumference.

JL = 2 × 84°

calculate the product

= 168°

Hope this helps..

Best regards!!

Answer:

Option A is the correct answer.

Step-by-step explanation:

By the incribed angle theorem, we have

1/2of angle JKL.

so, JL = 84°×2

Therefore, the answer is 168°.

Hope it helps..

Answer:

Children: $13

Adults: $18

Step-by-step explanation:

Well for both sets we can set up the following system of equations,

[tex]\left \{ {{3a + 4c = 106} \atop {2a + 3c = 75}} \right.[/tex]

So first we need to solve for a in the first equation.

3a + 4c = 106

-4c to both sides

3a = -4c + 106

Divide 3 by both sides

a = -4/3c + 35 1/3

Now we plug in that a for a in 2a + 3c = 75.

2(-4/3c + 35 1/3) + 3c = 75

-8/3c + 70 2/3 + 3c = 75

Combine like terms

1/3c + 70 2/3 = 75

-70 2/3 to both sides

1/3c = 4 1/3

Divide 1/3 to both sides

c = 13

Now we can plug in 13 for c in 3a + 4c = 106,

3a + 4(13) = 106

3a + 52 = 106

-52 to both sides

3a = 54

Divide 3 by both sides.

a = 18

Thus,

an adult ticket is $18 and a children's ticket is $13.

Hope this helps :)

Answer:

Adults pay $18 and children pay $13.5

Step-by-step explanation:

Hello!

You need to calculate the price of the tickets for adults and children for the group trip to New York.

If X represents adult and Y represents children, then you can express the given information as two equations with two unknown values:

Three adults and four children must pay $106. ⇒ 3X + 4Y= $106

Two adults and three children must pay $75. ⇒ 2X + 3Y= $75

I) First step, in one of the equations you have to clear one of the unknown values, I'll clear the value of Y:

3X + 4Y= 106

4Y= 106 - 3X

[tex]Y= \frac{106-3X}{4}[/tex]

II) Second step you have to replace it in the second equation:

2X + 3Y= 75

[tex]2X + 3(\frac{106-3X}{4} )= 75[/tex]

[tex]2X + \frac{3}{4}(106-3X)= 75[/tex]

[tex]2X + (\frac{3}{4}*106 - \frac{3}{4}*3X )= 75[/tex]

[tex]2X + 79.5 -\frac{9}{4}X =75[/tex]

[tex]2X - \frac{9}{4}X= 75 - 79.5[/tex]

[tex]-\frac{1}{4} X= -\frac{9}{2}[/tex]

[tex]X= -\frac{9}{2} * -4= 18[/tex]

The price for adult tickets is $18.

III) Third step, using the calculated value of X, you replace it on the formula obtained in I) yo calculate the price for the children Y:

[tex]Y= \frac{106-3X}{4}= \frac{106-(3*18)}{4} = \frac{27}{2}= 13.5[/tex]

The ticket price for children is $13.5

I hope this helps!

Answer:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

[tex]\mu = 34[/tex] represent the mean

[tex]\sigma= 5[/tex] represent the deviation

We have a sample size of n = 54 and we want to find this probability:

[tex] P(33.3 < \bar X< 34.3)[/tex]

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

[tex]\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Answer:

2 km

Step-by-step explanation:

Since we know that the TOTAL distance from Kensington to Greenville is 4.3 km, and we also that the distance from Kensington to Springfield is 2.3 km, we can subtract these values to find the distance from Springfield to Greenville.

[tex]4.3-2.3=2[/tex]

I hope this helped!

Answer:

Simple math, different numbers.

Step-by-step explanation:

Take the total distance, 4.3

And subtract it from the given segment of the road.

4.3 - 2.3 = 2.0

So the distance between Springfield and Greenville is 2 kilometers.

Answer:

  5

Step-by-step explanation:

The 5 terms in the expression are ...

  6y

  3

  y

  4y

  5

__

If like terms were combined, the expression could be reduced to one with 2 terms:

  11y +8

Answer:

5 terms

Step-by-step explanation:

In an expression, a term can be a number, a variable, or a number and variable multiplied together. Terms are separated by addition or subtraction.

In the expression:

6y+3+y+4y+5

There are 5 terms. The 5 terms are:

1. 6y

2. 3

3. y

4. 4y

5. 5

We can simplify this expression by combining like terms. We can add the constants (just numbers) and the terms with variables being multiplied by numbers.

6y+3+y+4y+5

(6y+y+4y)+(3+5)

11y+(3+5)

11y+8

Answer:

Step-by-step explanation:

Volume of a cylinder = πr²h

where r is the radius

h is the height

The height of a right cylinder is 3 times the radius of the base is written as

h = 3r

Volume = 249cubic units

So we have

249 = π r²(3r)

249 = π3r³

Divide both sides by 3π

r³ = 249/3π

r = 2

h = 3(2)

h = 6 units

Hope this helps you

Complete question :

a store specializing in mountain bikes is to open in one of two malls if the first mall is selected the store anticipates a yearly profit of $825,000 if successful a yearly loss of 275,000 otherwise the probability of success is 1/2 if the second mall is selected it is an estimated that the yearly profit will be 550,000 if successful otherwise the annual loss will be 165,000 the probability of success at the second mall is three Fourth (3/4).

What is the expected profit of thesecond mall?

Answer:

$453,750

Step-by-step explanation:

Given the following :

First mall:

Profit if successful = $825,000

Loss if otherwise = $275000

Probability of success = 1/2

Second mall:

Profit if successful = $550,000

Loss if otherwise = $165,000

Probability of success = 3/4

Expected profit of second mall:

If probability of profit ' P(profit)' = 3/4

Then,

Probability of loss P(loss) = 1 - P(profit)

P(loss) = 1 - 3/4 = 1/4

Expected profit:

[P(profit) * profit] + [P(loss) * loss])

(0.75 * $550,000) + (0.25 * (-$165,000))

$412,500 - $41,250 = $453,750

Answer:

The upper quartile is 20.5825

Step-by-step explanation:

In order to find the upper quartile we would have to use the following formula:

According to the given data:

value of a stock varies each day from $9.82 to $24.17

Hence, Q=upper quartile,

Therefore, ($24.17 - Q)/($24.17 - $9.82) = 25%

($24.17 - Q)/$14.35=25%

$24.17 - Q=3.5875

Q=20.5825

The upper quartile is 20.5825

Answer:

a geometric figure labeled CD would be a segment

Step-by-step explanation: you need to attached the pictures with the question

Answer: 14

Step-by-step explanation:

12/4 times 3 +5

= 3 times 3 + 5

= 9 + 5

= 14

Answer:

down

Step-by-step explanation:

x is negative

Answer:

48.0 mm

Step-by-step explanation:

A square has 4 equal sides. If one side is 12.0 mm the ll 4 sides are the same. so you can just multiply 12*4 and get 48.0 mm. That would be the answer. The   second way to solve it is to add 12 .0 mm 4 times and you would get 48.0 mm.

Answer and Step-by-step explanation: To find the B-coordinate vector of x:

[tex]b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right][/tex] , [tex]b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right][/tex], x = [tex]\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right][/tex]

The augmented matrix will be:

[tex]\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right][/tex]

Transforming into reduced row-echelon form:

= [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right][/tex]

The values for the vector will be:

x = 2

y = 3

The B-coordinate vector is of the form:

V = [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]

V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]

The B-coordinate vector of x is V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]

Answer:

1/3

Step-by-step explanation:

Ratios are basically comparisons of multiple numbers that shows their quantity relationship with each other. If we want to find the ratio of x to y, then the ratio is written as x : y or x/y.

Here, we want the ratio of adults to children. There are 3 adults and 9 children, so we have:

adults / children = 3 / 9 = 1/3

The answer is thus 1/3.

~ an aesthetics lover

Answer:

1:3

Step-by-step explanation:

The ratios of two terms is written as x:y.

3 ⇒ adults

9 ⇒ children

The ratio of adults to children:

3:9

Simplify the ratio.

1:3

Answer:

Step-by-step explanation:

Suppose that at time [tex]t_0[/tex] we have x mold cells. We are told that after 12 minutes the amount present is double. That is a [tex]t= t_0+12[/tex] we have 2x cells. Then, at [tex]t = t_0+24[/tex] we have (2x)*2 = 4x. We can continue as follows

[tex]t: t_0+36[/tex] we have (4x)*2 = 8x.

[tex]t: t_0+48[/tex] we have (8x)*2 = 16x

[tex]t: t_0+60[/tex] (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

The no. of mold cells one hour from now will be 32[tex]x[/tex].

Given,

The number of mold cells doubles every 12 minutes.

Let at time [tex]t[/tex] we have x mold cells.

So, after 12 minutes, the no of molds at[tex],t_{12} =t+12[/tex]  the no. of mold will be[tex]2x.[/tex]

After further 12 minutes at, [tex]t_{24} =t+24[/tex], the no. of mould will be [tex]4x[/tex].

After further 12 minutes at, [tex]t_{36} =t+36[/tex], the no. of mold will be [tex]8x[/tex].

After further 12 minutes at, [tex]t_{48} =t+48[/tex], the no. of mold will be [tex]16x.[/tex]

After further 12 minutes at, [tex]t_{60} =t+60[/tex], the no. of mold will be [tex]32x[/tex].

Hence the no. of mold cells one hour from now will be 32[tex]x[/tex].

For more details follow the link:

https://brainly.com/question/11897796

Answer:

A fair coin because at the end of the day it will be fun no matter where you guys go

Step-by-step explanation: