The algebraic rule for a reflection over the x-axis is one for the following:

Answer:

30 years

Step-by-step explanation:

Given;

Average age of women = 27 years

Average age of men = 33 years

Number of women = 4

Number of men = 4

Total number of people in the office = 4+4 = 8

Sum of age of women = mean × number = 27 × 4 = 108 years

Sum of age of men = mean × number = 33 × 4 = 132 years

Total sum of age of people = 108 + 132 = 240 years

Mean age = total sum of age of people in the office/number of people in the office

Mean age of people = 240/8 = 30 years

Answer:

(5,6)

Step-by-step explanation:

Answer:

The equation is in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

y = 12x - 4

m = 12

b = -4

Answer:

48 and 4

Step-by-step explanation:

If we assume that [tex]\bar X[/tex] to be the random variable that proceed the normal distribution with mean [tex]\mu[/tex] and  a standard deviation [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]

Given that:

mean =48

standard deviation = 16

sample size = 16

The population mean is same as the population mean in sampling distribution that is 48.

The standard deviation of the sampling distribution is therefore calculated as:

standard deviation = [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]

standard deviation = [tex]\dfrac{16 }{\sqrt{16}}[/tex]

standard deviation = [tex]\frac{16}{4}[/tex]

standard deviation = 4

Thus; the mean and the standard deviation of the sampling distribution is 48 and 4

Answer:

y=jx+4

Step-by-step explanation:

The equtaion for slope intercept is y=mx+b. We know that the m is slope and for our problem, the slope is j. The x is always added to the equation. Also the b is the y intercept. For this problem, the y intercept is 4.

Answer:

h=14

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Let's call their ages m and b.

We have:

m = b + 12

m - 17 = 4(b - 17) → m = 4b - 51

b + 12 = 4b - 51

3b = 63

b = 21

m = 21 + 12 = 33

Answer:

33.

Step-by-step explanation:

If Michael's age is x years now then Brandon's age is  x - 12.

17 years ago  Michael was x - 17 years old and this was 4 times  Brandon's age so:

x - 17 = 4(x - 12 - 17)

x - 17 = 4x - 48 - 68

4x - x =  -17 + 48 + 68

3x = 99

x = 33.

So Michael is now 33 years old.

Answer:

I

Step-by-step explanation:

graph is not provided

Step-by-step explanation:

x2 + 10x + 24

x2 + 6x + 4x + 24

x(x + 6) + 4(x + 6)

(x + 6) (x + 4)

Step-by-step explanation:

see the attachement....

Answer:

30

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 anddthan 180-150 = 30

Answer:

30

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 and then 180-150 = 30

Answer:

-27/7

Step-by-step explanation:

Plug in 19 as x.

3/19+2 is simplified to 3/21 ---> 1/7

19-3 is 16, the square root of that is 4.

1/7 - 4

1/7 - 28/7

there we have -27/7

Answer:

The area of the trapezoid shown above is 660 square inches.

Step-by-step explanation:

It already gives you the formula, so just plug in the numbers given.

[tex]h[/tex] - height (20)

[tex]B_1[/tex] - Base (30)

[tex]B_2[/tex] - Other base (36)

[tex]\frac{1}{2}(20)(30+36)\\\frac{1}{2}(20)(66)\\=660[/tex]

Answer:

x(12x^2+18x)

Step-by-step explanation:

x(12x^2+18x)=12x^(3)+18x^2

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Multiply it by 10

0.95 x 10 = 9.5

0.95 is 1/10 of 9.5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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Answer:

the two numbers are 3 and -4

Step-by-step explanation:

Product:  xy = -12, or x = -12/y

Sum:  x + y = -1, or -12/y + y = -1

Let's multiply all three terms by y to eliminate the fractional terms:

-12 + y^2 = -y, or

y^2 + y - 12 = 0

This factors into (y + 4)(y - 3) = 0, yielding y = -4 and y = 3.

Earlier we found that x = -12/y.  Here, if we choose y = -4, x = -12/(-4) = 3

and so the two numbers are 3 and -4.  Note that 3(-4) = -12, as required, and that 3 - 4 = -1, also as required.

Answer:

Option D is correct

Step-by-step explanation:

The identity matrix is the matrix, in which, the diagonal elements are 1 and all of non-diagonal elements are 0.

Hope this helps!

Answer:

Hey mate, here's ur answer:

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

-2x^5. 4x^2

=(−2)*x5*4*x2

=−8*x7

=−8x7

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

Hope it helps

#stayhomestaysafemate

:D

Answer:

c

Step-by-step explanation:

The true statement can be

If a number is a whole number, then it is a rational number.

The Law of Syllogism says that if the following two statements are true:

(1) If p , then q .

(2) If q , then r .

Then we can derive a third true statement: (3) If p , then r .

we have given that

If a number is a whole number, then it is an integer.

If a number is an integer, then it is a rational number.

So, using the law of syllogism the true statement can be

If a number is a whole number, then it is a rational number.

Learn more about law of syllogism here:

https://brainly.com/question/11306409

#SPJ2

Step-by-step explanation:

Wages

£450

450 x 1.02 = 459

Rent

£200

200 x 1.05 = 210

wages increases by £9

rent increases by £10

No the increase in her wages will not fully pay for the increase in the rent

Answer:

Step-by-step explanation:

rectangle and square

mark me as the brainliest pls..

Answer:

210

Step-by-step explanation:

84 / .40 = 210

(to check)

210 X .40 = 84

Answer:

210

Step-by-step explanation:

When working out a percentage for example 20% of 40, I follow 2 simple rules to get to the answer.

⇒ Multiply the percentage by the other number

⇒ Divide the multiplied number by 100

So for the example, Find 20% of 40

⇒ Multiply the percentage by the other number

→ 20 × 40 = 800

⇒ Divide the multiplied number by 100

→ 800 ÷ 100 = 8

So 20% of 40 is 8.

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

Using the method above we can set up an equation. We will call the number we want to find 'x'

⇒ Form the equation

→    [tex]\frac{40*x}{100} =84[/tex]

⇒ Multiply both sides by 100 to isolate   [tex]40*x[/tex]

→    [tex]40*x=8400[/tex]

⇒ Divide both sides by 40 to isolate x

→     [tex]x = 210[/tex]

So we know that 40% of 210 is 84. We can use the method at the top to see if our solution is correct

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

⇒ Multiply the percentage by the other number

⇒ Divide the multiplied number by 100

So, Find 40% of 210

⇒ Multiply the percentage by the other number

→ 40 × 210 = 8400

⇒ Divide the multiplied number by 100

→ 8400 ÷ 100 = 84

So 40% of 210 is 84.

Answer:

1 is a

Step-by-step explanation:

Answer:

The cylinder's height is 14 cm

Step-by-step explanation:

Recall that the formula for the volume of a cylinder is given by:

[tex]Volume=\pi\,R^2\,\,H[/tex]

where R is the radius of the cylinder's base, and H the cylinder's height (which we we don't know and need to find)

In order to use this formula to solve for our unknown we need to obtain the radius "R" by using the second piece of information on the length of the base's circumference (22 cm). Recall the formula for the length of a circumference of radius R:

[tex]length=2\,\pi\,\,R[/tex]

Then, in our case:

[tex]length=2\,\pi\,\,R\\22=2\,\pi\,\,R\\R=\frac{22}{2\,\pi} \\R=3.50\,\,cm[/tex]

We now use this information in the volume equation to find the cylinder's height:

[tex]Volume=\pi\,R^2\,\,H\\539\,\,cm^3=\,pi\,(3.5\,\,cm)^2\,\,H\\H=\frac{539}{\pi\,12.25} \,cm\\H=14.0 \,cm[/tex]

Answer:

C. 66.4 mph

Step-by-step explanation:

∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,

If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,

⇒ The ratio of speed and circumference = \frac{x}{2\pi (14)}

( Because radius = Diameter / 2 ),

While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,

⇒ The ratio of speed and circumference = \frac{60}{2\pi (12.5)}

By the above statement,

\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}

\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67

So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )

Hence, option 'C' is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A = final amount  =  ?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

[tex]A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\[/tex]

Hence to the nearest hundred we have the account balance has $3,000

Answer:3400

Step-by-step explanation:

Answer:

The top one, as x increases, y increases too.

Answer:

the answer will be d=130

Step-by-step explanation:

substruct 110 minus 50 we get 60

Answer: 31.41 square units

Step-by-step explanation:

Hi, to answer this question we have t apply the next formula:

Lateral area of a right cone = π x slant height x radius

Radius = diameter /2 = 4 /2 = 2 units

To find the slant height:

Since the altitude, slant and radius forms a right triangle we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the slant) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 4^2 + 3^2  

c^2 = 16 +9

c^2 = 25

c = √25

c = 5 units (slant)

Back with the Lateral area formula:

Lateral area of a right cone (LA) = π x slant height x radius

LA = π x 5 x 2 = 31.41 square units