Unit 5. 6) Please help. A block of wood has a density of 2.7 grams per cubic centimeter. If the block has a mass of 54 grams, what is its volume?

Answer:

The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.

Step-by-step explanation:

5/16 = 20/x

5x = 320

x = 64

30/80 = 3/8

10/80 = 1/8

25/80 = 5/16

15/80 = 3/16

3/8*2000 = 750

1/8*2000 = 250

5/16*2000 = 625

3/16*2000 = 325

Answer:

Area of parallelogram A = base x height = 2 x 1 = 2 (in2)

Hope this helps

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This question is not complete because is lacks the options for each question.

Complete question

mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

b. -1.8 mm/year

c. -2.48 years

d. -2.48 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

a. 1.05 mm/year

b. 1.8 mm/year

c. 2.48 years

d. 2.48 mm/year

Answer:

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

c. 2.48 years

Step-by-step explanation:

Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell

From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm

Hence,Total Variation in the water level is calculated as

-1.05 mm/year × 2.48 years

Total variation in the water level = -2.604mm

Answer:

Which number represents the rate at which the water level fell?

-1.05 mm/year

Which number should the rate be multiplied by to find the total variation in water level?

2.48 years

Step-by-step explanation:

Answer:

9

Step-by-step explanation:



Answer:

9 hours per night

Step-by-step explanation:

Assuming a week is 7 days

7 * 12 = 14 days

126/14=9

She slept 9 hours per night

Answer:

what grade are you in so i can help

Step-by-step explanation:

Answer:

1725 ft²

Step-by-step explanation:

[tex]\frac{50+65}{2} *30[/tex] = [tex]\frac{115}{2} *30= 57.5*30 = 1725[/tex]

Answer:

1,950 ft

Step-by-step explanation:

it is a compound shape, thus it is made up of a square and a triangle

you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950

Answer:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

If you want to learn more, you can read:

https://brainly.com/question/3283347

Answer:

6

Step-by-step explanation:

Answer:

6 students read 2 books

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

D, f(x)=5x

got it right

Answer:

42

Step-by-step explanation:

The perimeter of circle is same as it’s circumference.

Circumference = π * D

132 = 22/7 * D

22D = 7 * 132

22D = 924

D = 924/22

D = 42

Answer:

42.0

Step-by-step explanation:

For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula

⇒ Circumference of a circle = π × d

We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,

⇒ Form the equation

→ π × d = 132

⇒ Divide both sides by π to isolate d

→ d = 42.0169049763

The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place

[tex] {x}^{2} = 11x \\ {x}^{2} - 11x = 0 \\ x(x - 11) = 0[/tex]

Product is equal to 0 when one of multipliers is equal to 0, so

[tex]x = 0[/tex]

Or

[tex]x - 11 = 0 \\ x = 11[/tex]

Answer: x=0 or x=11

Answer:

Step-by-step explanation:

x^2 = 11x

x ( x − 11 ) = 0

x = 0  (by transposing)

x − 11 = 0

x=11  (by transposing)

therefore, x= 0,11

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Answer:

okay so u have a graph

u go to the center 0,0

u go up 2 places

then up 3 ove to the left 5

the repeat that step

u get it

Step-by-step explanation:

Answer:

What was the regular price of the T-shirt?

What question is being asked in this word problem?

What is the regular price of the skirt?

How much money does Jill have left?

How much does the T-shirt normally cost?

What is the amount Jill pays in sales tax?

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

Answer:

It would be 30

Step-by-step explanation:

6*5=30

Answer:

5

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

1/25 ^(-2/3* 3/4)

1/25^ (-2/4)

1/25 ^ -1/2

Rewriting 1/25 as 5^-2

5^-2 ^-1/2

Again a^b^c = a^ (b*c)

5^(-2*-1/2)

5 ^ 1

5

Answer:

[tex]P(A \cup B) = 0.75[/tex]

Step-by-step explanation:

There are two scenarios:

A - Rain

B - Fog.

The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:

[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]

[tex]P (A\cup B) = 0.75 + 0.25 - 0.25[/tex]

[tex]P(A \cup B) = 0.75[/tex]

Answer:

V= 1/3 pi*r^2*

Step-by-step explanation:

The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.

Answer:

0.786 liters

Step-by-step explanation:

Answer:

0.786 liters

Step-by-step explanation:

There is 1000 milliliters in a liter. (I'm assuming you meant milliliters instead of millimeters? Otherwise they are not compatible)

milliliters : liter

  1000    :    1

   786      : 0.786

Answer:

it is 279 square feet

Step-by-step explanation:

Answer:

279 sq. feet

Step-by-step explanation:

got the question correct

Edg.

Lee sold 40 magazines

Step-by-step explanation:

Equation Model:

Let m be the number of magazines Lee sold.

150%-130%=20%, so if 0.2m=8 then m=40

Let me show another way: In the image above 20% is equal to 8 so if we use 8 and 20% and try to reach our way up to 100% (How much Lee sold in total) then we will get our answer.

20%=8

40%=16

60%=24

80%=32

100%=40

Therefore Lee sold 40 magazines.

Hope that makes sense! If you have any more questions or need further clarification then please comment down below or message me! Good luck!

Answer:

Step-by-step explanation:

The apples picked on Monday and Tuesday = 242 + 118 = 360

Apples sold on Wednesday = 360 - 109 =  521

Number of apples left = 251

Equation used: (242 + 118) - 109

Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 20.9, \sigma = 5.6[/tex]

The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 20.9}{5.6}[/tex]

Z = 2.7

Z = 2.7 has a p-value of 0.9965.

1 - 0.9965 = 0.0035 = 0.35.%.

Hence, 0.35% of the testers scored a perfect score.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

The area is 128.605[tex]meters^2[/tex]

Step-by-step explanation:

The formula for the area of a triangle is :[tex]\frac{base*height}{2}[/tex]

To work this out you would first have to divide the shape into 4 smaller triangles.

Then we are going to first calculate the area of on the bottom triangles. To do this we would multiply the base of 8.5 and the height of 10.2, this gives you 86.7[tex]meters^{2}[/tex]. Although you would normally divide the answer by 2, as there are 2 identical triangles that is not necessary.

Now that we know the area of the bottom triangles we can now work out the top triangles. You can do this by multiplying the base op 8.5 by the height of 4.93, this gives you  41.905[tex]meters^2[/tex].

To work out the total area of this shape you would simply add the areas of 86.7 and 41.905, this would gives you [tex]128.605meters^2[/tex]. This is because we first broke the shape down so you could work out the area of each individual area, however to work out the total all the areas must be added up.

1) Divide the shape into 4 smaller triangles.

2) Multiply 8.5 by 10.2.

[tex]8.5*10.2=86.7meters^2[/tex]

3) Multiply 8.5 by 4.93.

[tex]8.5*4.94=41.905meters^2\\[/tex]

4) Add 86.7 and 41.905.

[tex]86.7+41.905=128.605meters^2[/tex]

Answer:

3

Step-by-step explanation:

It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.

Answer:

The answer is A

Step-by-step explanation:

Vertical angles are equal/congruent

4x+14=5x-5

X=19

4(19)+14= 90

Angle A= 90

Answer:

The sirt cost $7.5 before tax.

Step-by-step explanation:

Since the pair of slacks cost twice as much as the shirt, we have:

slacks = 2*shirt

And the total purchase was $22.5, so we have:

slacks + shirt = 22.5

We can create a system of equations such as:

slacks = 2*shirt

slacks + shirt = 22.5

If we apply the first formula on the second we can solve for the value of the shirt, we have:

2*shirt + shirt = 22.5

3*shirt = 22.5

shirt = 22.5/3 = 7.5

So the slacks cost:

slacks = 2*7.5 = 15

Answer: $253.50

Step-by-step explanation:

Markup = 30% of sale price

Store purchase price = (100% - 25%) × 260

Store purchase price = 75% × 260

Store purchase price = 0.75 × 260

Store purchase price = $195

Regular selling price = markup × purchase price

Markup = 30% of purchase price (100+30)%

Regular selling price :

1.30 × $195 = $253.50

Answer:

Eva would have been better off selecting the 20-year term policy.

Step-by-step explanation:

Base on the scenario been described in the question, Eva would have been better off selecting the 20-year term policy. This reason is because assuming Eva bought the 20-year term policy, she wont be paying the new charge of extra 40% to her premium rate, compared to when she bought the 10-year term policy then renew the policy for another ten years.

Eva's best option would be to buy on a 20-year policy. This is better because she is able to evade the additional, 40% to her premium rate.

Premiums are percentages of the cost value charged by the insurance company for their services and benefits.

Read more on insurance premium;

https://brainly.com/question/9696972

Answer:

[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]

[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]

[tex]\tan B=\dfrac{3}{7}[/tex]

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!