URGENT!!! TIMED!!!!
Kievan bought a new eraser that came in a cardboard wrapper.

What is the minimum amount of cardboard used for the wrapper?
38cm^2
40cm^2
76cm^2
80cm^2

IT'S NOT 40

URGENT!!! TIMED!!!!Kievan Bought A New Eraser That Came In A Cardboard Wrapper.What Is The Minimum Amount

Answers

Answer 1

Answer: Third option.

Step-by-step explanation:

You need to find the surface area with the formula for calculate the surface area of a rectangular prism:

[tex]SA=2(wl + lh + hw)[/tex]

Where w is the width, l is the length, and h is the height.

You can observe in the figure that:

[tex]l=5cm\\w=4cm\\h=2cm[/tex]

Then, substituting the values into the formula  [tex]SA=2(wl + lh + hw)[/tex], you get that  minimum amount of cardboard used for the wrapper is:

[tex]SA=2[(4cm)(5cm)+(5cm)(2cm)+(2cm)(4cm)]\\SA=76cm^2[/tex]

Answer 2

Answer:

third option

Step-by-step explanation:


Related Questions

PLEASE HELP!!

In isosceles △ABC, AB = BC and CH is an altitude. Find the perimeter of △ABC, if CH = 84 cm and m∠HBC = m∠BAC +m∠BCH?

Answers

Answer:

I think I could help you

Have fun and feel free to ask me something new.

Or we can prove some properities without calculating by details

Step-by-step explanation:

I think I could help you

Have fun and feel free to ask me something new.

Or we can prove some properities without calculating by details

Answer:  The perimeter of triangle ABC is (112√3 + 168) cm.

Step-by-step explanation:  Given that in isosceles triangle △ABC, AB = BC and CH is an altitude. Also,

CH = 84 cm   and  

[tex]m\angle HBC = m\angle BAC+m\angle BCH~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to find the perimeter of triangle ABC

Since AB = BC, so the angles opposite to them are congruent and have equal measures.

That is, [tex]m\angle BAC=m\angle ACB~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

Now, since angle HBC is an exterior angle of triangle ABC and triangles BAC and ACB are remote interior angles.

So, we have

[tex]m\angle HBC=m\angle BAC+m\angle ACB\\\\\Rightarrow m\angle BAC+m\angle BCH=m\angle BAC+m\angle ACB\\\\\Rightarrow m\angle ACB=m\angle BCH.[/tex]      

Therefore, from equation (i) implies that

[tex]m\angle HBC = m\angle BAC+m\angle BCH\\\\\Rightarrow m\angle HBC=m\angle BCH+m\angle BCH~~~~~~~[\textup{applying equations (ii) and (iii)}]\\\\\Rightarrow m\angle HBC=2m\angle BCH.[/tex]

Now, from angle sum property in triangle BCH, we have

[tex]m\angle HBC+m\angle BCH+m\angle BHC=180^\circ\\\\\Rightarrow 3m\angle BCH+90^\circ=180^\circ\\\\\Rightarrow 3m\angle BCH=90^\circ\\\\\Rightarrow m\angle BCH=30^\circ.[/tex]

So, we get

[tex]m\angle BAC=m\angle ACB=m\angle BCH=30^\circ,\\\\m\angle HBC=2\times30^\circ=60^\circ.[/tex]

In right-angled triangle ACH, we have

[tex]\tan 30^\circ=\dfrac{CH}{AH}\\\\\\\Rightarrow \dfrac{1}{\sqrt3}=\dfrac{84}{AH}\\\\\\\Rightarrow AH=84\sqrt3.[/tex]

In right-angled triangle BCH, we have

[tex]\tan 60^\circ=\dfrac{CH}{BH}\\\\\\\Rightarrow \sqrt3=\dfrac{84}{BH}\\\\\\\Rightarrow BH=\dfrac{84}{\sqrt3}.[/tex]

And,

[tex]\sin 60^\circ=\dfrac{CH}{BC}\\\\\\\Rightarrow \dfrac{\sqrt3}{2}=\dfrac{84}{BC}\\\\\\\Rightarrow BC==\dfrac{168}{\sqrt3}=56\sqrt3.[/tex]

Therefore,

[tex]AB=AH-BH=84\sqrt3-\dfrac{84}{\sqrt3}=\sqrt3(84-28)=56\sqrt3.[/tex]

Now, in triangle ACH,

[tex]\sin 30^\circ=\dfrac{CH}{AC}\\\\\\\Rightarrow \dfrac{1}{2}=\dfrac{84}{AC}\\\\\Rightarrow AC=168.[/tex]

Thus, the perimeter of triangle ABC is given by

[tex]P=AB+BC+CA=56\sqrt3+56\sqrt3+168=112\sqrt3+168.[/tex]

The perimeter of triangle ABC is (112√3 + 168) cm.

Daryl's Oreo factory is able to produce 3/4 tons of Oreos in 1 1/2 weeks. At this rate, how long will it take to produce 2
tons of Oreos?

Answers

[tex]\bf \begin{array}{ccll} tons&weeks\\ \cline{1-2}\\ \frac{3}{4}&1\frac{1}{2}\\\\ 2&x \end{array}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~1\frac{1}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~\frac{3}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{\frac{2}{1}}=\cfrac{~~\frac{3}{2}~~}{\frac{x}{1}} \\\\\\ \cfrac{3}{4}\cdot \cfrac{1}{2}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{3}{8}=\cfrac{3}{2x}\implies 6x=24\implies x=\cfrac{24}{6}\implies x=4[/tex]

Given that (0,7) is on the graph of f(x), find the corresponding point for the function f(x+2).

Answers

Answer:  The point is (-2, 7)

Step-by-step explanation:

If we have a function f(x) and we apply the transformation

[tex]y = f (x + h)[/tex] then ::

If [tex]h <0[/tex] the graph of f(x) moves horizontally h units to the right

If [tex]h> 0[/tex] the grace of f(x) moves horizontally h units to the left

In this case we have the function f(x) and the point (0,7) and the transformation [tex]y = f (x + 2)[/tex]

Then [tex]h = 2> 0[/tex]. Therefore the graph of f(x) moves 2 units towards the left.

Therefore the point (0,7) moves 2 units to the left and we have the point (-2, 7) in the transformed function

Find an equation for the nth term of the arithmetic sequence.
a19 = -92, a20 = 6

a. an = -1856 + 98(n - 1)
b. an = -1856 - 98(n - 1)
c. an = -1856 - 98(n + 1)
d. an = -1856 + 98(n + 1)

Answers

d = 92+6 = 98

an = a1 + 98 (n-1)

a1=a19-98 (n-1)

a1=-92 -98 * 18

=-1856

It’s A ( an = -1856+98(n-1) )

There are 14 students making sculptures with craft sticks. There are 644 craft sticks in a box. Each student gets an equal number of craft sticks. Explain each step needed to determine the maximum number of craft sticks that each student can get.

Answers

Answer:

46 craft sticks per student

Step-by-step explanation:

The simplest situation would be that in which the available 644 craft sticks are evenly divisible by the number of students receiving them.  If that's the case, all we have to do is to divide:

644 craft sticks

----------------------- = 46 craft sticks per student

     14 students

PLSSS HELPPP A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has two opportunities for a two-point conversion. He misses the first attempt 50% of the time. When he misses the first attempt, he misses the second attempt 15% of the time. What is the probability of missing both two-point conversion attempts?

Answers

Answer:

The probability of missing both two-point conversion attempts is 7.5%

Step-by-step explanation:

We are informed that the probability of missing the first attempt is 50% of the time. Furthermore, the probability of missing on the second attempt given that he missed the first attempt is 15% of the time

Now,the probability of missing on both the two-point conversion attempts will simply be given by the product of these two probabilities since the events are independent;

50%*15% = 0.5 * 0.15 = 7.5%

Therefore, the probability of missing both two-point conversion attempts is 7.5%

Answer:

The probability of missing both two-point conversion attempts is 7.5%

Step-by-step explanation:

^^

Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)x−5 + 8. You may wish to graph it and its parent function, y = 0.5x, on the same axes. The parent function y = 0.5x is across its domain because its base, b, is such that . The function, f, shifts the parent function 8 units . The function, f, shifts the parent function 5 units .

Answers

Answer:

The parent function y = 0.5x is DECREASING  across its domain because its base, b, is such that 0<b<1.

The function, f, shifts the parent function 8 units UP .

The function, f, shifts the parent function 5 units RIGHT .

Translation involves moving a function vertically or horizontally.

The function [tex]\mathbf{y = 0.5^{x- 5} + 8}[/tex] shifts the parent function 5 units right, and 8 units up.

The parent function is given as:

[tex]\mathbf{y = 0.5^x}[/tex]

Move the function right, by 5 units

[tex]\mathbf{y = 0.5^{x- 5}}[/tex]

Move the function up by 8 units

[tex]\mathbf{y = 0.5^{x- 5} + 8}[/tex]

So, the function [tex]\mathbf{y = 0.5^{x- 5} + 8}[/tex] shifts the parent function 5 units right, and 8 units up.

Read more about translations at:

https://brainly.com/question/12463306

In this figure, AB ||CD and m<1=135. What is m<7

Answers

Answer:

135

Step-by-step explanation:

Angles 1 and 3 are vertical angles, so they are congruent.

Since angle 1 measures 135 deg, angle 3 also measures 135 deg.

Angles 3 and 7 are corresponding angles of parallel lines cut by a transversal, so they are congruent.

Since angle 3 measures 135 deg, angle 7 also measures 135 deg.

Answer: m<7 = 135 deg

m<7 = 135 degree

What does congruence mean in math?

congruence, in mathematics, the term employed in several senses, each connoting harmonious relation, or agreement, and correspondence. so 2 triangles are congruent if 2 sides and their included angle in the 1 are = to 2 sides and their included angle in the other.

Angles one and three are vertical angles, so they are congruent.

Since angle one measures 135 degree, angle three also measures 135 degree.

Angles 3 or 7 are corresponding angles to the parallel lines cut by the transversal, so they are congruent.

Since angle 3 measures 135 deg, angle 7 also measures 135 deg.

Answer: m<7 = 135 degree

Learn more about congruence here https://brainly.com/question/7888063

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Please please help me

Answers

To work this out, you find out how many triangles can fit into the shape.

To do this, you take the number of sides and subtract it by 2.

So in a polygon with 11 sides, there are:

9 triangles          (11 - 2 = 9)

Remember, the total number of angles in one triangle is 180 degrees.

So to work out the total number of angles in a polygon, you multiply the number of triangles in it by 180.

So the total sum of interior angles in a polygon with 11 sides is:

180 x 9  = 1620 degrees          (180 degrees times number of triangles)

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

Answer:

1620 degrees

What is the scale factor ABC to XYZ???

Answers

Answer:

A) 6

Step-by-step explanation:

This would be your best answer.

90 POINTS!!!!! Given: KLIJ inscr. in k(O),m∠K = 64°, measure of arc LI = 69°, measure of arc IJ = 59°, measure of arc KJ =97°


Find: All angles of KLIJ

Answers

In any cyclic quadrilateral, angles opposite one another are supplementary, meaning

[tex]m\angle K+m\angle I=m\angle L+m\angle J=180^\circ[/tex]

and given that [tex]\boxed{m\angle K=64^\circ}[/tex], we have [tex]\boxed{m\angle I=116^\circ}[/tex].

By the inscribed angle theorem,

[tex]m\angle JLK=\dfrac12m\widehat{KJ}[/tex]

[tex]m\angle ILJ=\dfrac12m\widehat{IJ}[/tex]

and since

[tex]m\angle L=m\angle JLK+m\angle ILJ[/tex]

we have

[tex]m\angle L=\dfrac{97^\circ+59^\circ}2\implies\boxed{m\angle L=78^\circ}[/tex]

and it follows that

[tex]m\angle J=180^\circ-m\angle L\implies\boxed{m\angle J=102^\circ}[/tex]

What is m∠A ? Enter your answer in the box.

Answers

Answer:

The measure of angle A is 115°

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠C+∠A+∠B=180°

substitute values and solve for x

x°+(3x-35)°+(x-35)°=180°

5x°=180°+70°

x=250°/5=50°

Find the measure of angle A

∠A=(3x-35)°

substitute the value of x

∠A=(3(50)-35)=115°

Answer:

[tex]m\angle A=115\degree[/tex]

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees.

[tex]\implies (x-35)\degree+x+(3x-35)\degree=180\degree[/tex]

[tex]\implies 5x-70\degree=180\degree[/tex]

[tex]\implies 5x=180+70[/tex]

[tex]\implies 5x=250[/tex]

Divide both sides by 5.

[tex]\implies x=50[/tex]

We substitute the value of angle A to obtain:

[tex]m\angle A=3(50)-35[/tex]

[tex]m\angle A=115\degree[/tex]

Please please help me

Answers

use pythagorean theorem

Answer:

x = 3.6

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan20° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{10}[/tex]

Multiply both sides by 10

10 × tan20° = x, hence

x ≈ 3.6

Given a polynomial f(x), if (x − 2) is a factor, what else must be true?
A. f(0) = 2
B. f(0) = −2
C. f(−2) = 0
D. f(2) = 0

Answers

Answer:

D. f(2) = 0

Step-by-step explanation:

If x-2 is a factor of a function, then f(2) must be zero

f(x) = p(x) * (x-2) since (x-2) is a factor of f(x)

Substitute in x=2

f(2) = p(2) (2-2)

f(2) = p(2) *(0)

Anything times 0 = 0

f(2) = 0

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina's cycling speed is 10 km/h, how much time longer will Masha need to complete the path?

Answers

Answer:

0.5 hour

Step-by-step explanation:

Given

Speed of Dina = 10 km/h

Distance = 20 km

So the time Dina taken to complete the track is:

[tex]Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours[/tex]

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,

her distance covered in 2 hours was:

[tex]Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km[/tex]

So we know the time and distance:

Now,

[tex]Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour[/tex]

We have to calculate the time that will be needed by MAsha to complete the track:

As we know the speed and remaining distance

[tex]Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours[/tex]

Masha needs 0.5 hour to complete the track ..

Answer:

30 minutes

Step-by-step explanation:

Identify the volume and surface area of the hemisphere in terms of π. HELP ASAP!!

Answers

Answer:

D

Step-by-step explanation:

Use the formula for the SA of a hemisphere.

[tex]SA=2\pi r^2[/tex]

Now we can find the radius of the hemisphere, which is 15.

Then, we can square that and multiply it by 2 to get 450.

Now, let's use the formula for the Volume of a hemisphere.

[tex]V=\frac{2\pi r^3}{3}[/tex]

Now we can cube 15 and multiply it by 2 to get 6750.

Then we can divide this number by 3.

2250.

So the answer is D.

which is the polar form of the parametric equations x=4t and y=t^2?


a. r= 16 tan (theta) sec (theta)

b. r= 16 tan^2 (theta)

c. r= 16 sec^2 (theta)

d. r= 16 sec (theta)

Answers

Answer: r=16tan theta sec theta

Step-by-step explanation:

I have this question on my test but all the answers are different except that one

The polar form of the parametric equation is option (A), r = 16 tan theta sec theta is the correct answer.

What is a polar from?

Polar form of a complex number is represented by a line whose length is the amplitude and by the phase angle. A polar form of a vector is denoted by  ( , ) , where represents the distance from the origin and represents the angle measured from the -axis.

Given the parametric equations x=4t and y=t².

Consider x= 4t

⇒ t = x/4

Now substitute  t in y equation,

[tex]y= (\frac{x}{4} )^2[/tex]

[tex]y=\frac{x^2}{16}[/tex]

We know that in polar form,

x= r cosθ and y= r sinθ

Now y becomes

r sinθ= [tex]\frac{r^2\cos^2\theta}{16}[/tex]

16 r sin θ = r² cos²θ

r = 16 sinθ/cos²θ

⇒r =16 tanθ secθ

Hence we can conclude that the polar form of the parametric equation is option (A), r = 16 tan theta sec theta is the correct answer.

Learn more about the polar form here:

brainly.com/question/2272407

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Padma also pays for a subscription to a sports channel.Yhe channel cost $132 for a year.How much does Padma pay for the sports channel per month? How much does Padma pay each month for the sports channel and the magazine combined?

Answers

Answer:

Padma pays $11 dollars a month for the sports channel. I do not see the question for the magazine:(

Step-by-step explanation:

Peter and his four brothers combined all of their money to buy a video game. If 20% of the total money is Peter's, and $4.00 of the total money is Peter's, how much do all five brothers have combined?

Answers

Given that Peter contributes 20% of the total money and his part is $4.00, it is deduced that the total combined amount the five brothers have is $20.00.

To solve this, we can set up a simple proportion where 20% (or 0.20 in decimal form) of the total amount is equal to $4.00.

Step-by-Step Solution:

Let x represent the total combined amount of money that Peter and his brothers have.

Since Peter contributes 20% of the total, we can express this as 0.20 imes x = $4.00.

To find x, we divide both sides of the equation by 0.20, giving us x = $4.00 / 0.20.

By performing the division, we find that x = $20.00.

Therefore, the total combined amount Peter and his brothers have is $20.00.

PLEASE HELP!!!!!! 10 POINTS
A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass.

46 56 45 44 45 61 55 53 39

What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? ___________.

The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the ____________.


What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? __________.

Answers

you need to find the mean on these numbers that is step one in finding standard deviation. so this is 44.2. now you need to subtract the mean from each number and square the result. after that step you now have these numbers.... 3.24, 139.24, .64, .4,.64,282.24,116.64,77.44,27.04. now the next step is to find the mean of these numbers. you get 71.9 appx.. now all you do is square root this number you get 8.5 when you round to the nearest thenth

A model rocket is launched into the sky. The distance the rocket flies is 25 feet the first second, 75 feet the next second, 125 feet the third second, and so on in an arithmetic sequence. What is the total distance the rocket flies in 6 seconds? A) 275 B) 550 C) 900 D) 1200

Answers

A is the correct answer

Find the values of the 30th and 90th percentiles of the data. Please show your work.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152

Answers

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= [tex]100,100,105,113,129,132,146,176,200[/tex]

The 30th percentile is located at

[tex](\frac{30}{100}\times 10 )}[/tex] -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = [tex]\frac{105+113}{2}=\frac{218}{2}=109[/tex]

The 90th percentile is located at

[tex](\frac{90}{100}\times 10 )}[/tex] -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = [tex]\frac{176+200}{2}=\frac{376}{2}=188[/tex]

Ben went to the farmer’s market with $14.00, bought 2 pounds of cherries and still had enough money left to buy 3 pounds of apples. Tom went to the farmer’s market and bought 6 pounds of apples and 4 pounds of cherries for $28.00.

14 – 2y = 3x, 6x + 4y = 28

The boys solved the equations to find the price per pound that they paid for cherries and found the solution 14 = 14. How should they interpret this result?



A: The price of 4 pounds of cherries is $14.00.

B: The price of 2 pounds of cherries is $14.00.

C: They made a math error when solving the equations, and should try a different solution method to find the price of the cherries.

D: The two equations describe the same line, so there is not enough information to determine the price per pound of cherries.

Answers

Answer:

C C C C

Step-by-step explanation:

DONT LISTEN TO THE FIRST GUY ITS C THEY MADE A MATH ERRORRR

which are differences of perfect cubes? Check all that apply. 9a3 – 27 125a12 – 72 216a6 – 27y3 8a15 – 27 225a3 – 216

Answers

ANSWER

The correct choices are:

[tex] {8a}^{15} - 27[/tex]

and

[tex]216 {a}^{6} - 27 {y}^{3} [/tex]

EXPLANATION

A difference of perfect cube is of the form:

[tex] {(m)}^{3} - {(n)}^{3} [/tex]

We can rewrite

[tex]216 {a}^{6} - 27 {y}^{3} [/tex]

Try rewriting the terms as powers to an exponent of 3.

[tex]216 {a}^{6} - 27 {y}^{3} = {6}^{3}( {a}^{2})^{3} - {3}^{3} {y}^{3} [/tex]

This implies that:

[tex]216 {a}^{6} - 27 {y}^{3} = ( 6 {a}^{2})^{3} - {(3y)}^{3} [/tex]

Hence this is a difference of perfect cube.

Also, we can rewrite

[tex] {8a}^{15} - 27[/tex]

as

[tex]{8a}^{15} - 27 = {2}^{3} ( {a}^{5})^{3} - {3}^{3} [/tex]

[tex]{8a}^{15} - 27= {(2{a}^{5})}^{3} - {3}^{3} [/tex]

Please HELP ASAP I really need help

Answers

Answer:

[tex]f(g(x)) = 16x ^ 4-32x ^ 2 + 18[/tex]

Step-by-step explanation:

we have two functions

[tex]f (x) = x ^ 2 -2x + 3\\\\g (x) = 4x ^ 2-3[/tex]

We wish to find the compound function f(g(x))

To find f(g(x)) you must introduce the function g(x) within the function f(x). This is change the variable x, in the function f(x), by g(x).

[tex]f (g (x)) = (4x ^ 2-3) ^ 2 - 2 (4x ^ 2-3) +3[/tex]

Now simplify the expression:

[tex]f (g (x)) = 16x ^ 4-24x ^ 2 + 9 - 8x ^ 2+6 +3\\\\f(g(x)) = 16x ^ 4-32x ^ 2 + 18[/tex]

ANSWER

[tex]f(g(x)) = 16 {x}^{4} -3 2{x}^{2} +18[/tex]

EXPLANATION

The given functions are:

[tex]f(x)={x}^{2} - 2x + 3[/tex]

and

[tex]g(x) = 4 {x}^{2} - 3[/tex]

We want to find

[tex]f(g(x)) = f(4 {x}^{2} - 3)[/tex]

This implies that;

[tex]f(g(x)) = ( 4 {x}^{2} - 3)^{2} - 2(4 {x}^{2} - 3) + 3[/tex]

We expand to get,

[tex]f(g(x)) = 16 {x}^{4} - 24 {x}^{2} + 9- 8 {x}^{2} + 6+ 3[/tex]

[tex]f(g(x)) = 16 {x}^{4} -3 2{x}^{2} +18[/tex]

Each of

6

students reported the number of movies they saw in the past year. This is what they reported:

6, 8, 16, 7, 19, 20

Find the mean and median number of movies that the students saw.

Answers

The median is 12.

The arithmetic mean is 12.7

The geometric mean is 11.3

5^12 ÷ 5^4 = _____

A) 5^3
B)5^8
C) 5^16

Answers

Hello!

The answer is:

The correct option is:

B)  [tex]5^{12}\div5^{4}=5^{8}[/tex]

Why?

To solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

[tex]\frac{a^{m} }{a^{n} }=a^{m-n}[/tex]

If we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

So, we are given the expression:

[tex]5^{12}\div5^{4}[/tex]

Which is equal to write:

[tex]\frac{5^{12} }{5^{4}}[/tex]

Then, calculating we have:

[tex]\frac{5^{12} }{5^{4}}=5^{12-4}=5^{8}[/tex]

Hence, the answer is:

B)  [tex]\frac{5^{12} }{5^{4}}=5^{8}[/tex]

or

 [tex]5^{12}\div5^{4}=5^{8}[/tex]

Have a nice day!

Answer:

The correct answer is option B. 5^8

Step-by-step explanation:

Points to remember

Identities

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

x⁻ᵃ = 1/xᵃ

To find the correct option

It is given an expression, 5^12 ÷ 5^4  

⇒ 5¹²/5⁴

By using identities we can write,

5¹²/5⁴ = 5⁽¹² ⁻ ⁴⁾

 = 5⁸

Therefore the correct answer is option B. 5^8

Please please help me out

Answers

Answer:

$0.84

Step-by-step explanation:

The expected value of target A = 12% of $7

12% = [tex]\frac{12}{100}[/tex] = 0.12

expected value of A  = 0.12 × $7 = $0.84

Sylvia is going on vacation and she has to drive 393 miles.If she has already gone 45miles in one hour and her current speed is 58miles per hour ,how much longer will it take Sylvie to reach her destination

Answers

Answer:

6 hours.

Step-by-step explanation:

She has already travelled 45 miles so there's another 393-45 = 348 miles to travel. So  if she continues at 58 mph she will take 348 / 58 = 6 hours.

Which statement about the function f(x)=x(x – 3)(x – 2) is true?


It has no horizontal asymptote.


It does not cross the horizontal asymptote.


It crosses the horizontal asymptote at the origin.


It has one vertical asymptote.

Answers

Answer:

It has no horizontal asymptote

Step-by-step explanation:

It has no horizontal asymptote.  This is a cubic function which has the end behavior of the left tail down and the right tail up, so both the domain and the range are infinity.  That means that there is no horizontal asymptote to go through.  Because it is not a rational function, there are no vertical asymptotes that could make the denominator go to 0 since there is no denominator (not rational).

Answer:

C,

It crosses the horizontal asymptote at the origin.

Step-by-step explanation:

Plato

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