What is the volume of the prism below?
A. 288 units3
B. 144 units3
C. 180 units3
D. 56 units3

A resposta é B, Não há de quê

Answer:

<TQU = 72°

Step-by-step explanation:

<WQT = 60°

=> <WQT = <UYX (corresponding angles)

=> <UYX = <YUV (alternate angles)

=> <YUV = <UQR (corresponding angles)

So, <UQR = 60°

Now,

<PQT+<TQU+<UQR = 180° (angles on a straight line add up to 180°)

48° + <TQU + 60° = 180°

<TQU + 108 = 180

Subtracting 108 from both sides

<TQU = 180-108

<TQU = 72°

Answer:

[tex]\boxed{\df \ \ \ y = 2 \ \ \ }[/tex]

Step-by-step explanation:

We need to solve the following

[tex]\dfrac{7^8}{7^y}=7^6[/tex]

that we can write

[tex]\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2[/tex]

so the answer is 2

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

[tex]7^8 \div 7^y = 7^6[/tex]

Apply the law of exponents.

[tex]7^{8-y}= 7^6[/tex]

Cancel the same bases.

[tex]8-y=6[/tex]

Subtract 8 on both sides.

[tex]-y=6-8[/tex]

[tex]-y=-2[/tex]

Cancel negative signs.

[tex]y=2[/tex]

Answer:

7/6 or 1.166666667

Step-by-step explanation:

I solved it on calculator

To 1 d.p 1.2

Answer:

7/6

Step-by-step explanation:

7/5 × -3/12 + 7/6 + 7/5 × 1/4

Multiply first.

-21/60 + 7/6 + 7/20

Find the common LCM of the fractions.

-21/60 + 70/60 + 21/60

Add the fractions.

(-21+70+21)/60

-21 and 21 cancels.

70/60

Simplify.

7/6

Answer:

20%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

A=13, b= 28, c= 6 d=22 e=31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Answer:

A=13

B=28

C=6

D=22

E=31

Step-by-step explanation:

Add the ratios: 3+2+1= 6

Divide total treats by total ratio:

42/6 = 7

Now multiply each separate ratio by that:

Molly = 3x7 = 21

Paige = 2x7 = 14

Demi = 1x7 = 7

Answer:

Molly gets 21, Paige gets 14 and Demi gets 7

Step-by-step explanation:

Total = 42

Ratio = 3:2:1

Total Parts = 3+2+1 = 6

Molly:

=> [tex]\frac{3}{6}*42[/tex]

=> 3*7

=> 21 sweets

Paige:

=> [tex]\frac{2}{6}*42[/tex]

=> 2*7

=> 14 sweets

Demi:

=> [tex]\frac{1}{6}*42[/tex]

=> 7 sweets

Answer:

s = 3

Step-by-step explanation:

First compute the cost of the three apps:

21-12=9

The cost of the three apps is $9 then.

Since s is the price of the apps, we deduce the equation:

3s=9

/3

s = 3

Answer: B is the answer

Step-by-step explanation: I took the quiz on edgunity

Answer:

d 243

Step-by-step explanation:

finished the test ^^

Answer:

0.33 hours or 20 minutes

Step-by-step explanation:

Speed is given as distance divided by time.

That is:

s = d / t

Therefore, time will be:

t = d / s

The train traveled a distance of 40 km at 120 km/h. Therefore, the time taken will be:

t = 40/120 = 0.33 hours or 20 minutes

Answer:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Step-by-step explanation:

Data obtained from the question include:

3x√x²y, –12x√x²y, –2x√xy², x√yx²,

–x√x²y², 2√x²y

Like radical in this case talks about those havin the same entity in the square root.

With a careful consideration of the data obtained from the question, the like radicals are:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex],  [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:

A) [tex]3x\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

B) [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

C) [tex]-2x\sqrt{xy^2}[/tex]

This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.

D)  [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

E) [tex]-x\sqrt{x^2y^2}[/tex]

This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.

F) [tex]2\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

So, the correct options are A), B), D), and F).

For more information, refer to the link given below:

https://brainly.com/question/16181471

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The y-intercept is where the line passes through the y-axis

On this graph, we can see this is at the point (0, 2)

Answer:

(0,2)

Step-by-step explanation:

The y intercept is where the graph crosses the y axis ( where x =0)

The graph crosses at y=2

(0,2)

Answer:

X=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)

Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]

This means the value of x must be 4

Answer:

1)(45x 1.2) /2

2) $27 each

Step-by-step explanation:

Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)

45 x (20/100) = 45 x 0.2= $9

Now, we have to add the tip amount (9) to the initial bill amount  

45+9= $54 (total bill amount with tip)

(We could obtain the same result if we multiply the initial bill amount by 1.2)

Finally, we have to divide the final bill amount by 2:

54/2 = $27 each

1) (45x 1.2) /2

2) $27 each

Feel free to ask for more if needed or if you did not understand something.

Answer:

5 1/4 mph

Step-by-step explanation:

21 divided by 4= 5 1/4

Answer:

Average Speed = 5.25 mph

Step-by-step explanation:

Given:

Distance = 21 miles

Time = 4 hours

Required:

Average Speed

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

Average Speed = 21/4

Average Speed = 5.25 mph

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

Answer:

False

Step-by-step explanation:

Loooook above

Answer:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Step-by-step explanation:

[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Therefore the last digit of 6*5* is 0.

Therefore:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Answer:

At the end of ten days, the size of population B is 256 times that of population A

Step-by-step explanation:

We work under the premise that population A and B start both with the same number of individuals. Let's call such initial population [tex]N_0[/tex]

Now, we write the exponential expression that describes population A as a function of days (t) for the first 6 days:

[tex]N_A=N_0\,(2)^t[/tex]

which represents the starting point with [tex]N_0[/tex] individuals on day zero, doubling after one day (t= 1), and keeping on doubling the following days for 6 days.

So at the end of 6 days, population A would have the following number of individuals:

[tex]N_A=N_0\,(2)^6\\N_A=N_0\,(64)\\N_A=64\,N_0[/tex]

That is 64 times the starting number of individuals.

After this, the population stops growing and starts reducing to one-half each day. This behavior can be represented by:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^t[/tex]

therefore after 4 days in this pattern, this culture has the following number of organisms:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^4\\N_A=64\,N_0\,(\frac{1}{16} )\\N_A=4\,N_0[/tex]

which is now just four times what the culture started with.

Now, on the other hand, population B grows doubling each day without interruption, so at the end of 10 days its size is given by:

[tex]N_B=N_0\,(2)^t\\N_B=N_0\,(2)^10\\N_B=N_0\1024\\N_B=1024\,N_0[/tex]

that is it has 1024 times the initial number of organisms.

So if we compare both populations at day 10:

[tex]\frac{N_B}{N_A} =\frac{1024\/N_0}{4\,N_0} =256[/tex]

Therefore, at the end of ten days, population B is 256 times the size of population A

Answer:

After 10 days, population B has grown to be 256 times the size of population A.

Step-by-step explanation:

Answer:

The dotted line does not divide the data in two as the left and right side have an unequal, odd number of points 3 and 5 respectively

Step-by-step explanation:

The steps to follow in the divide the center method includes

1) Plot data

2) A dotted line is then drawn that divides the data in two, such that each side has an even number count of points

3) Mark the center of the data on each side of the dotted line as x

4) Draw a straight line through the x marks to extend to the plot area edges

5) The line drawn is the line of best fit.

Answer:

I think maybe b! but I'm not sure

Answer:

B=264 b5/34 a576 5739 7985

Answer:

2.193 and

Step-by-step explanation:

Area of Segment = πr²θ/360 -½r²sinθ

=π*3²*85/360-½*r²sin85

= 2.193cm²

volume of cone= ⅓πr²h

=⅓*π*3²*21

=198 cm³

Answer:

In step 2, he confused the multiplication and addition signs

Step-by-step explanation:

Answer:

In step 2, he confused the multiplication and addition signs.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the shape of the vase be a cylindrical shape

the volume of the cylinder is given as

let the depth be h

[tex]v= \pi r^2h[/tex]

Given

radius r= 5 cm

volume v= 1000 cm

height h= ?

Substituting the values we can find the depth(h)

[tex]1000= 3.142*5^2*h\\1000= 3.142*25*h\\\\1000= 78.55*h\\[/tex]

Dividing both sides by 78.55 we have

[tex]h= \frac{1000}{78.55} \\\h= 12.73[/tex]

to 1 dp h= 12.7 cm

Answer: maximum point at (-3, 2)

Step-by-step explanation:

The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.

Answer:

A =153.86 cm^2

Step-by-step explanation:

The diameter is 14 so the radius is d/2 = 14/2 = 7

A = pi r^2

A = (3.14) (7)^2

A =153.86 cm^2

Answer:

Step-by-step explanation:

First you take the diameter and cut it in half to find the radius. 14/2 = 7

Next you times the radius to the power of 2. 7^2= 49

Then you times your answer by 3.14. 49*3.14 = 153.86

153.86cm² is your answer

Answer:

The person in the at-risk population is much more likely to actually have the disease

Step-by-step explanation:

The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).

The probability that a doctor is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]

The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).

The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]

Therefore, the person in the at-risk population is much more likely to actually have the disease

Answer:

there is an economic principle that states that 1 dollar today is worth more than 1 dollar in the future, since an invested dollar could earn interests and gain value.

For example, we can assume a 6% interest rate (0.5% monthly interest rate), and using the present value formula we can determine the present value of $100:

In order to calculate the value of $100 given to us tomorrow, we would need to determine a daily interest rate = 6% / 360 = 0.00017

since the amount of money is not that large and the interest rate is rather low, the difference in value is not that large. But imagine if you used a 24% interest rate instead of 6% (monthly interest rate = 2%)

as the interest rate increases, the present value decreases.