True or False: The image of (2,-6) after a dilation by a scale factor of 2 centered at the origin is (4, -12) True False

Hey there!☺

Let's break apart 42.

The 4 is in the tens. The 2 is in the ones.

                            Place Value starting from Thousands

                             Thousands  Hundreds  Tens  Ones

                             _________ ________ ____ _____

                                                                        4          2

So this is how we break up numbers using place value.

Hope this helps!

The number can be broken apart from the factor 42 using the place value as 40 + 2 here 4 is in the tens place and 4 is in the one's place.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 42.

As we know,

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

42 = 40 + 2

42 = 4x10 + 2x1

Thus, the number can be broken apart from the factor 42 using the place value as 40 + 2 here 4 is in the tens place and 4 is in the one's place.

Learn more about the number here:

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Answer:

-10

Step-by-step explanation

-26 x 2 3/5 = -10

-10 x 2 = -20

3/5 of -10 is -6

-20 - 6 = -26

The number is 10.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let the number is n,

The equation formed from the statement is

(2 3/5 ) * n = -26

(13/5 ) * n =26

n = 26 * 5 / 13

n = 10

To know more about Equation

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Answer:

b

Step-by-step explanation:

edge2020

Answer:

Yeet

Step-by-step explanation:

Yeet yeet yeet, yeet yeet. :D

Answer:

Yes, my kind sir.

Step-by-step explanation:

Too bad its not really lazer. if it is you put this in a vid.

Answer:

1/8 of the lawn is left to mow. As a decimal this would be 0.125.

Step-by-step explanation:

Convert 1/4 to eighths, by multiplying the whole fraction by 2. The fraction would thus be 2/8. Add 5/8 and 2/8 and you know that he has mowed 7/8 of the yard, which means he now has 1/8 left to mow.

Answer:

1.5 rooms

Step-by-step explanation:

1/2 x 3

Answer:

D. units

Step-by-step explanation:

A unit is the system in which a physical quantity is measured. It gives appropriate understanding of what physical quantity has been measured. All physical quantities have specific unit of measurements.

A unit can also represent the smallest part of a measurement. Example 1 unit, 2 units etc.

Since the unit of measurement is not indicated in the question, therefore 3, 090 would be represented using units. So that we have; 3, 090 units.

Answer:

I think it is the department manager

Answer:

630.56

Step-by-step explanation:

example 3.14159 if last 5 or later than 5 then add before number 1

like 3.1416 you can use this number too

Answer:

six hundred thirty and five tenths

Step-by-step explanation:

Answer:2

Step-by-step explanation:

It goes through two points

Answer:

b

Step-by-step explanation:

Answer:

The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Step-by-step explanation:

Hope I could help!

Answer:

300 ft

Step-by-step explanation:

250 + 50 = 300 ft

Since the fish is below water and the balloon is above water, you have to add them together to get the difference.

(I think. . .)

Answer:

7x^2+2x-4

Step-by-step explanation:

a standard form is ax+by=c

5x^2 add 2x^2=7x^2 then -2x but when you have a -10 +6 you get -4 giving you the answer of 7x^2 +2x -4

Answer:

7x^2 + 2x - 4

Step-by-step explanation:

First, combine like terms:  Combine 5x^2 and 2x^2, obtaining 7x^2.  Include the 2x term (there is no like term for this one) and combine -10 +  6, obtaining -4.

Then the sum of these two polynomials is

7x^2 + 2x - 4

Note:  Use " ^ " to indicate exponentiation.

Answer:

26.75

Step-by-step explanation:

Answer:

5 × 3 divided by 15 + 15 - 15 = 1.

Answer:

62 and 63

Step-by-step explanation:

125/2= 62.5 (Middle integer or mean of the 2 integers)

That means that the integers are 62 and 63

Answer:

Step-by-step explanation:

4+2=6

6/3=2

3+1=4

4/2=2

2/2=1

Answer:

s = 6

Step-by-step explanation:

Goal is to isolate the variable (s)

1/2s = 4s - 21

Subtract 4s from both sides - this cancels out the 4s on the right side and moves it to the left side

1/2s - 4s = -21

To add or subtract fractions, they must have a common denominator

Convert 4s to a fraction over 2

1/2s - 8/2s = -21

Subtract the numerators and keep the denominators

-7/2s = -21

Remember the goal is to isolate the variable

In order to get rid of the -7/2, we multiply by its reciprocal (which is -2/7)

What we do to one side, we must do to the other (this means multiply by -2/7 on both sides

-7/2s × -2/7 = -21 × -2/7

s = -21 × -2/7

Negative × negative = positive

s = 42/7

Divide 42 by 7

s = 6

Answer:

x=3, x=-2, x=4

Step-by-step explanation:

You can tell because the x is just going to be the additive inverse of the already given number. I hope this helps!

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

Answer:

$90

Step-by-step explanation:

Off course the school district will pay in salary by $90 less.

*Please provide a picture of the table next time*

152+ 20n

n is the number of months

after 5 months

152+ 20(5)

=252

after 10 months

152+20(10)

= 352

Each time you need to find the balance for the certain month, replace the n with the number of months.

Hope that helped

Answer:

x⋅(2x+1)⋅(2x+3)⋅(3x−2)

Step-by-step explanation:

Equation at the end of step 1

 (((12•(x4))+(16•(x3)))-7x2)-6x

STEP

2

:

Equation at the end of step

2

:

 (((12 • (x4)) +  24x3) -  7x2) -  6x

STEP

3

:

Equation at the end of step

3

:

 (((22•3x4) +  24x3) -  7x2) -  6x

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  12x4 + 16x3 - 7x2 - 6x  =

 x • (12x3 + 16x2 - 7x - 6)

Checking for a perfect cube :

5.2    12x3 + 16x2 - 7x - 6  is not a perfect cube

Answer:

The probability that the selected review was submitted in Word format is 0.56.

Step-by-step explanation:

We are given that Data on recent reviews indicates that 50% of them are short, 30% are medium, and the other 20% are long. Reviews are submitted in either Word or LaTeX. For short reviews, 70% are in Word, whereas 50% of medium reviews are in Word and 30% of long reviews are in Word.

Let the probability that there are short reviews = P(S) = 0.50

The probability that there are medium reviews = P(M) = 0.30

The probability that there are long reviews = P(L) = 0.20

Let W = event that the reviews are submitted in either Word or LaTeX

So, the probability that short reviews are submitted in Word = P(W/S) = 0.70

The probability that medium reviews are submitted in Word = P(W/M) = 0.50

The probability that long reviews are submitted in Word = P(W/L) = 0.30

(a) The probability that the selected review was submitted in Word format is given by = P(W)

    P(W) = P(S) [tex]\times[/tex] P(W/S) + P(M) [tex]\times[/tex] P(W/M) + P(L) [tex]\times[/tex] P(W/L)  

             = (0.50 [tex]\times[/tex] 0.70) + (0.30 [tex]\times[/tex] 0.50) + (0.20 [tex]\times[/tex] 0.30)

             = 0.35 + 0.15 + 0.06

             = 0.56

Hence, the probability that the selected review was submitted in Word format is 0.56.

(b) Now, if the selected review was submitted in Word format, the posterior probabilities of it being short is given by = P(S/W)

        P(S/W) = [tex]\frac{P(S) \times P(W/S)}{P(S) \times P(W/S)+P(M) \times P(W/M)+P(L) \times P(W/L)}[/tex]

                    = [tex]\frac{0.50\times 0.70}{0.50\times 0.70+0.30\times 0.50+0.20\times 0.30}[/tex]

                    = [tex]\frac{0.35}{0.56}[/tex] = 0.625

Similarly, if the selected review was submitted in Word format, the posterior probabilities of it being medium is given by = P(M/W)

        P(M/W) = [tex]\frac{P(M) \times P(W/M)}{P(S) \times P(W/S)+P(M) \times P(W/M)+P(L) \times P(W/L)}[/tex]

                     = [tex]\frac{0.30\times 0.50}{0.50\times 0.70+0.30\times 0.50+0.20\times 0.30}[/tex]

                     = [tex]\frac{0.15}{0.56}[/tex] = 0.268

Also, if the selected review was submitted in Word format, the posterior probabilities of it being long is given by = P(L/W)

        P(L/W) = [tex]\frac{P(L) \times P(W/L)}{P(S) \times P(W/S)+P(M) \times P(W/M)+P(L) \times P(W/L)}[/tex]

                     = [tex]\frac{0.20\times 0.30}{0.50\times 0.70+0.30\times 0.50+0.20\times 0.30}[/tex]

                     = [tex]\frac{0.06}{0.56}[/tex] = 0.107.

[tex]\text{Hi there! :)}[/tex]

[tex]\large\boxed{f'(2) = -\frac{16}{27} }[/tex]

[tex]f'(x) = \frac{(5 + x^{2} )(-2x) - (7 - x^{2} )(2x)}{(5+x^{2})^{2} } \\\\f'(x) = \frac{-10x-2x^{3}- 14x + 2x^{3} }{(5+x^{2})^{2} } \\\\f'(x) = \frac{-24x}{(5+x^{2})^{2} }\\\\ \text{Solve for the derivative at f'(2) using substitution:}\\\\f'(2) = \frac{-24(2)}{(5+2^{2})^{2} } \\\\f'(2) = \frac{-48}{81} \\\\\text{Simplify:}\\\\f'(2) = -\frac{16}{27}[/tex]

Answer:

1) [tex]f'(x)=-\frac{24x}{(5+x^2)^2}[/tex]

2) [tex]f'(2)=-\frac{16}{27}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{7-x^2}{5+x^2}[/tex]

And we want to find f'(x).

To do so, we can use the quotient rule.

So, let's take the derivative of both sides:

[tex]\frac{d}{dx}[f(x)]=\frac{d}{dx}[\frac{7-x^2}{5+x^2}][/tex]

Remember that the quotient rule is:

[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]

In our equation, f is (7-x^2) and g is (5+x^2).

So, using the quotient rule, our derivative f'(x) is:

[tex]f'(x)=\frac{\frac{d}{dx}[7-x^2](5+x^2)-(7-x^2)\frac{d}{dx}[5+x^2]}{(5+x^2)^2}[/tex]

Differentiate:

[tex]f'(x)=\frac{(-2x)(5+x^2)-(7-x^2)(2x)}{(5+x^2)^2}[/tex]

Simplify. Distribute in the numerator:

[tex]f'(x)=\frac{(-10x-2x^3)-(14x-2x^3)}{(5+x^2)^2}[/tex]

Distribute:

[tex]f'(x)=\frac{(-10x-2x^3)+(-14x+2x^3)}{(5+x^2)^2}[/tex]

The cubed terms cancel. This leaves:

[tex]f'(x)=\frac{(-10x)+(-14x)}{(5+x^2)^2}[/tex]

Add. So, our derivative is:

[tex]f'(x)=-\frac{24x}{(5+x^2)^2}[/tex]

To find f'(2), simply substitute 2 into our derivative. So:

[tex]f'(2)=-\frac{24(2)}{(5+(2)^2)^2}[/tex]

Multiply and square:

[tex]f'(2)=-\frac{48}{(5+4)^2}[/tex]

Add:

[tex]f'(2)=-\frac{48}{(9)^2}[/tex]

Square:

[tex]f'(2)=-\frac{48}{81}[/tex]

Reduce by 3:

[tex]f'(2)=-\frac{16}{27}[/tex]

And we're done!

Answer:

x = 6, -8

Step-by-step explanation:

If (x - 6)(x + 8) = 0, that would imply that either (x - 6) or (x + 8) would equal zero. Using this, we can find that solving the two equations:

x - 6 = 0

and

x + 8 = 0

would yield the two solutions to the equation.

x - 6 = 0

Add 6 to both sides of the equation.

x = 6

So one of the solutions would be x = 6.

x + 8 = 0

Subtract 8 from both sides of the equation.

x = -8

So the other solution would be x = -8.

The two solutions are x = 6 and x = -8.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

x = 6 or x = –8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The lines are parallel.

Therefore

3x + 6 = 4x - 12      Add 12 to both sides

3x + 6 + 12 = 4x     Combine

3x + 18 = 4x           Subtract 3x from both sides.

18 = 4x - 3x

18 = x

Step-by-step explanation:

the ans is given.the ans is 18.

Answer:

120

Step-by-step explanation:

We can break it up and then solve. 15*2 is 30. 30*4 is 120.

Answer:

120

Step-by-step explanation:

15*2=30

30*4=120

This is equivalent to 2187 if you were to evaluate 3^7 with a calculator.

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

Explanation:

The rule you use is

[tex]a^b*a^c = a^{b+c}[/tex]

When we multiply exponential expressions with the same base, we add the exponents. The base stays the same.

So,

[tex]3^2*3^5 = 3^{2+5} = 3^7[/tex]

If the bases were different, then you cannot use this rule.

Answer:

Ok!

Step-by-step explanation:

So I’m guessing 3^2 means 3x3 basically! If I’m wrong pls correct! Anyways, so you wanna write the equation like so: (3^2) + (3^5). Next, do 3^2 which gets you 9. Then, do 3^5 which gets you 243. I know, it’s confusing haha. Now, add those two together & u get 252! There ya go, hoped it helped (:

Answer:

Step-by-step explanation:

POINTS:

- Out of every 15 students, 6 were successful in the task.

- The professors' success rate is 140% of the students' success rate.

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