A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?

Answer:

Step-by-step explanation:

3n = 3² × 8                     3² = 3 × 3

n × 3 = 3 × 3 × 8            notice a times 3 on both sides of the equation

                                      divide both sides by 3

n =  3 × 8      

n = 24    <---------------- FINAL ANSWER

Answer:

see graph

Step-by-step explanation:

Answer:

No, it is not the same.

Step-by-step explanation:

1/4 * 8y = 2y

1/4 * -12 = -3

2y - 3 is not the same as 2y - 12

Answer:

No, because once you factor the 1/4 on the first equation you will get -3, not -12 making them not equalivent.

Step-by-step explanation:

Answer:

x = -2

y = 9

Step-by-step explanation:

y = -3x + 3

y = 5x + 19

We can put one y as another:

-3x + 3 = 5x + 19

-8x = 16

x = -2

And now let's check using x = -2

y = (-3 * -2) + 3

y = (5 * -2) + 19

y = 6 + 3

y = -10 + 19

y = 9

y = 9

Answer:

81

Step-by-step explanation:

Answer:

[tex]\Huge\boxed{C.68}[/tex]

Step-by-step explanation:

Hello There!

The exterior angle of a triangle rule is that the exterior angle  is equal to the sum of the interior opposite angles

So essentially what I'm saying is that

z = 29 + 39

29+39=68 therefore the measure of angle z is 68

Answer:

48.3

Step-by-step explanation:

→ See what side is not given

Opposite

→ Find a triangle with out an O in it

Cos = Adjacent / Hypotenuse

→ Make what you want to find the subject

Hypotenuse = Adjacent / Cos

→ Substitute the numbers into the formula

41 / cos (32) = 48.3

Answer:

A line of best fit is drawn through a scatterplot to find the direction of an association between two variables. This line of best fit can then be used to make predictions. To draw a line of best fit, balance the number of points above the line with the number of points below the line.

Step-by-step explanation:

x=2.5

Step-by-step explanation:

x+3.5/4=2(2x+2)/4

x+3.5=2x+2/2

x-2x+3.5=1

-x=(-3.5)+1

-x=(-2.5)

-x/(-1)=(-2.5)/(-1)

x=2.5

Answer:

d. a power analysis; tells the researcher the number of participants needed for trustworthy results.

Step-by-step explanation:

A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.

A hypothesis is considered to be tentative or an educated guess and can be defined as a testable explanation for an observation or a scientific problem. An example of a hypothesis is saying, Corona virus is caused by the introduction of the "5G" technology.

This ultimately implies that, for any hypothesis to be acceptable in science, it must be supported by observations and the results of control experiments; this give rise to factual informations, theories and by extension solutions to problems.

Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct a power analysis because it tells the researcher the number of participants needed for trustworthy results.

A power analysis should always be conducted before the collection of data because it will help you as a researcher to determine the smallest sample size that's accurate enough to detect the effect of a specific test at the desired statistical significance level.

Answer:306 = 80-q is the answer

Answer:

........................................................................

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

Answer:

[tex] \: \: a) \: \: (49\pi - 98)ft {}^{2} [/tex]

Answer

2.(2,1)

3. (2,2)

Step-by-step explanation:

Given,

2.2x+y=4

x+3y=_3

sol

2x+y=4..... equation i

x+3y=_3 ....eq ii

eq ii of 2 multiple the eq i

2x+y=4

2x+6y=_6

_ _ +

__________

o+ 5y = 10

y =10÷5

y = 2 ans

y valu put the eq 1

2x+y=4

2x+2=4

2x=4_2

2x=2

x=2÷2

x=1

3.

sol

3x+5y=4..... eq 1

x+3y=4 ..... eq 2

eq 2 multiple eq 1. 3

3x+5y=4

3x+9y=12

_ _ _

___________

0x+4y=8

4y=8

y=8÷4

y=2 ans

the y value put the eq 1

3x+5y=4

3x+5×2=4

3x+10=4

3x=10_4

3x=6

x=6÷3

×=2 ans

Answer:

(3, - 2 ) and (- 2, 2 )

Step-by-step explanation:

(8)

2x + y = 4 → (1)

x + 3y = - 3 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the x- term

- 2x - 6y = 6 → (3)

Add (1) and (3) term by term to eliminate x

0 - 5y = 10

- 5y = 10 ( divide both sides by - 5 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

2x - 2 = 4 ( add 2 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

solution is (3, - 2 )

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

(9)

3x + 5y = 4 → (1)

x + 3y = 4 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term

- 3x - 9y = - 12 → (3)

Add (1) and (3) term by term to eliminate x

0 - 4y = - 8

- 4y = - 8 ( divide both sides by - 4 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (2)

x + 3(2) = 4

x + 6 = 4 ( subtract 6 from both sides )

x = - 2

solution is (- 2, 2 )

Answer:

-X=6

Step-by-step explanation:

-2X-3=9

-2X=9+3

-2X=12

12÷2=6

-X=6

Answer:

4

8/2 = 4

hope that helps...

Answer:

1.22752808989

Answer:

1.2275

Step-by-step explanation:

(237 - 674)/(283-639)

-437/-356

the two negatives make a positive

437/356

1.2275

9514 1404 393

Answer:

  B. 10

Step-by-step explanation:

If this is a list of statements in a programming language that is processed sequentially, y is assigned the value 9+1 = 10. There is no further assignment to y, even after the value of x is changed. So, the final value of y is 10.

__

Additional comment

Some programming languages do their processing in parallel, so that the definition of y would be updated when the value of x gets updated. In that case, the value of y would be changed to 5+1 = 6. Since this is not a choice, the problem is apparently supposed to be interpreted as above.

Answer:

17.2 cm

Step-by-step explanation: Each side would be 19 cm since a triangle has three sides. Next, we will use pythagorean theory. Since the equation would be a^2 + b^2 = c^2. Since 19^2 is 361 and is getting subtracted by 64 (we get it because at the bottom, we have to split it. also, 8 squared is 64). Then we get 297, which the base root with one number behind the decimal would be 17.2 cm.

Obviously, there is 784/7, but there is a less common kind of expression that also works. Since a fraction is similar to a division expression, you can flip 7 to make 1/7. The other expression could be 1/7 x 784.

So the two expressions could be 784/7 and 1/7 x 784

---

hope it helps

Answer:

112×7=

R÷7=112

R×7=784

Step-by-step explanation:

784÷7=112

112×7=784

Answer:

vas dir que no sóc jo, sóc una mica, però vull que tornem a casa i ens ocupem de tots els altres

Answer:

#4.

- 3 < - 2 1/2

If you consider the number line, the numbers increase from left to right. The number on the left is smaller than a number on the right.

- 3 is smaller than -2 1/2, it means -3 is on the left from the -2 1/2 on the number line.

#5.

Jada's score is positive, it means the number reflecting the score is to the right from zero on the number line.

Isabel's score is negative, it means the number reflecting the score is to the left from zero on the number line.

Since Isabel's score is to the left  from the Jada's score, she has lower score than Jada.

With the lowest score, Isabel is the winner.

Answer:

the formula for a triangle is height*base/2

plug it in and you get (3*6)/2=18/2=9

so, the answer is 9 mm2

Answer:

C. 3r + 7/ 7

Step-by-step explanation:

First, we need to factor, the top value.

3r² + 10r + 7/ 7r + 7

3r² + 10r + 7

= (r + 1) (3r + 7)

= (r + 1) (3r + 7)/ 7r + 7

7r + 7 = 7( r + 1)

(r + 1) (3r + 7) / 7( r + 1)

The ( r + 1) cancel out with each other and we're left with

3r + 7/ 7

Answer:

C. 3r + 7/ 7

Step-by-step explanation:

Because it is the "Correct Answer"