What expression is equivalent to rm÷rn?
A) rm-n
B) rm+n
C)m×n
D)rm÷n​

Answer:

The product of the polynomials is 6p³ + 29p² + 22p - 21

Step-by-step explanation:

(2p + 7)(3p² + 4p - 3)

Use the foil method to multiply.

6p³ + 8p² - 6p + 21p² + 28p - 21

Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.

6p³ + 29p² + 22p - 21

Answer:

It is a relative minimum and an x-intercept.

Answer:

The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.

Step-by-step explanation:

RIGHT SIDE

3: Simplification

4: Subtraction property of equality

LEFT SIDE

4: 6x -7 + 7 = 12 + 7

7: x=19/6

Hope this helped!

<!> Brainliest is appreciated! <!>

Simplification

[tex]6x-7+7=12+7[/tex],  addition property of equality

[tex]x =\frac{19}{6}[/tex]

According to the given question.

We have a equation

[tex]4x-7=-2x+12[/tex]

The following steps which are required to solve the above equation are

Step 1:

[tex]4x - 7 = -2x + 12[/tex]   (given)

Step 2:

[tex]4x - 7+ 2x = -2x + 12 + 2x[/tex]    (addition property of equality)

Step 3:

[tex]4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12[/tex] (simplification)

Step 4:

[tex]6x -7 + 7 = 12 +7[/tex]                 (addition property of equality)

Step 5:

[tex]\implies 6x = 19[/tex]                                  (simplification)

Step 6:

[tex]\frac{6x}{6} =\frac{19}{6}[/tex]                                      ( division property of equality)

Step 7:

[tex]x = \frac{19}{6}[/tex]                                            (simplification)

Hence, the value of x in [tex]4x-7 = -2x + 12[/tex] is [tex]\frac{19}{6}[/tex].

Find out more information about addition, subtraction, and division property of equality here:

https://brainly.com/question/13130806

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Answer: 83.6

Step-by-step explanation:

The data shown below is: 81,83,84,85,85.  The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6

Hope it helps <3

P.S. brainliest brains?

The data shown below is: 81,83,84,85,85.  The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6

Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

Answer:

the first question the answer is: Answer. A + 2A + 3A = 180 degrees ( total for all 3 angles in any triangle). This one is a right triangle since one of the angles is 90 degrees. did that make any sense? lol

the 2nd question the answer is i believe D. but i am not sure

hope this helped :)

Answer:

1. A

2. B

Step-by-step explanation:

Check the attachment

Hope it helps :)

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 500

x = 210

p = 210/500 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is

0.42 ± 1.96√(0.42)(0.58)/500

= 0.42 ± 0.043

Answer:

all the answers are wrong

Answer:

x ≥ -1

Step-by-step explanation:

The domain is the possible input values or x values for this graph

X can be from 0 to infinity

The best choice out of the ones listed is

x ≥ -1

Answer:

4

Step-by-step explanation:

The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:

Perimeter of region = 4 × Perimeter of semicircular arc.

The side of the square = diameter of the semicircle = 2/π.

The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]

The perimeter of a semicircle = perimeter of a circle ÷ 2

[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]

Answer:

2.4.

Step-by-step explanation:

the formula of the volume of a cylinder is ; πr²h.

so, we will have to substitute with the formula.

3.14 × 6 × 6 × h = 271.4

113.04h = 271.4

divide both sides by the number next to the unknown, which is 113.04.

you will get 2.4009200........

when u round off to the nearest tenths, you will get 2.4.

Answer:

D

Step-by-step explanation:

Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.

Answer:

D. 2 times the circumference of the original circle

Step-by-step explanation:

The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.

You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.

So the answer is D. 2 times the circumference of the original circle  

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

Answer:

D) x/11.60= 1/5

Step-by-step explanation:

Answer:

m = -3

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

[tex]h(x)=3x-7[/tex]

And we are given that [tex]h(x)=0[/tex] and want to find the value of x. Set h(x) to 0 and we get the equation:

[tex]3x-7=0[/tex]

Add both sides by 7

[tex]3x=7[/tex]

Divide both sides by 3

[tex]x=\dfrac{7}{3}[/tex]

This is the answer (as an improper fraction). Let me know if you need any clarifications, thanks!

[tex]\text{Plug in 0 to h(x) and solve:}\\\\0=3x-7\\\\\text{Add 7 to both sides}\\\\7=3x\\\\\text{Divide both sides by 3}\\\\\frac{7}{3}=x\\\\\boxed{\frac{7}{3}=x}[/tex]

Answer:

y = 1/6x - 3

Step-by-step explanation:

Step 1: Find the slope

Take the negative reciprocal of the other slope

m = 1/6

y = 1/6x + b

Step 2: Find b

-2 = 1/6(6) + b

-2 = 1 + b

b = -3

Step 3: Rewrite perpendicular linear equation

y = 1/6x - 3

Answer:

y = -4x

Step-by-step explanation:

Since it gives you that m = -4 and that the y-intercept is at (0, 0), we simply plug it into y = mx + b

y = -4x + 0

y = -4x

Answer:

The mean temperature is O

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ \dfrac{2}{3} \ \ \ }[/tex]

Step-by-step explanation:

hello

24 = 8*3

16 = 8*2

so

[tex]\dfrac{2}{3}*24=\dfrac{2*8*3}{3}=8*2=16[/tex]

so the answer is 2/3

hope this helps

Answer:

1,429

Step-by-step explanation:

You have 7 dollars profit for each CD sold. 10,000 divided by 7 is 1,428 so you must have atleast one more than that to have profit (although it would be very small)

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent, it is a right angle

VWX is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2

6^2 + 8^2 = VX ^2

36+64 = VX ^2

100 = VX ^2

Take the square root of each side

sqrt(100) = sqrt(  VX ^2)

10 = VX

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent to the circle V, by definition, WX ⊥ WV.

So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, we have a = WV = 6 and b = WX = 8, so:

a² + b² = c²

6² + 8² = 36 + 64 = 100

c² = 100

c = √100 = 10

Therefore, VX = 10 cm.

~ an aesthetics lover

factors of 51 are  1, 3, 17,  51

Answer:

1 × 51 = 51

3 × 17 = 51

_________

1, 51, 3, 17 are all factors of 51!

51 is composite.

━━━━━━━☆☆━━━━━━━

▹ Answer

2(7c - 2b)

▹ Step-by-Step Explanation

3a + 7b * 14c - 4b

14c - 4b → 2(7c - 2b)

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

2(7c - 2b)

Step-by-step explanation:

3a + 7b x 14c - 4b

3a + 3b x 14c

14c - 4b = 2(7c - 2b)

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

Answer:

Step-by-step explanation:

Let the price before be x

Then the price after is:

Answer:

other leg = 8.944271910

Step-by-step explanation:

If you are trying to figure out the other leg you have to use pythagorean therom:

c^2 - a^2 = b^2

(12)^2 - (8)^2 = b^2

144 - 64 =b^2

80 = b^2

√80 = b

8.944271910 = b

Answer:

0.24

Step-by-step explanation:

Given the points (10,2.4) (15, 3.6) (17.5, 4.2)

The unit rate is the slope of the line joining any of the two points.

Using points (10,2.4)  and (15, 3.6)

[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]

=0.24

Using points (10,2.4)  and (17.5, 4.2)

[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]

Therefore, the unit rate for each point is 0.24

Answer:

Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?