What is the answer and why?

Answer:

135

Step-by-step explanation:

The little cubes with side length 1/3 unit have volume (1/3 unit)³ or (1/27 unit)³.  Divide the prism volume (5 units³) by (1/27 units³) to determine how many little cubes are required to fill the prism:

5 units³

--------------- = 135 little cubes.

1/27  unit

Note:  This assumes that the dimensions of the prism are such that there is no wasted space when all these little cubes are packed inside.  For example, if the width of the prism were 3, then we assume that 3 little cubes would fit that particular dimension.

There are 135 cubes in the cube with a volume of 5 cubic units and the small cube has a side length of 1/3 unit.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

As we know, the volume of the cube = side³

The volume of the rectangular prism = 5 cubic units

The volume of the small cube with side lengths of 1/3 unit is:

= (1/3)×(1/3)×(1/3)

= 1/27

The number of cubes in the big cube = 5/(1/27)

= 5×27

= 135 cubes

Thus, there are 135 cubes in the cube with a volume of 5 cubic units and the small cube has a side length of 1/3 unit.

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Answer:

The points you need to graph are (-4,0) (-1,9) (2,0)

Step-by-step explanation:

Hope this helps!

Answer:

Option A.

Step-by-step explanation:

The given expression is

[tex](\sqrt{12}+\sqrt{6})(\sqrt{6}-\sqrt{10})[/tex]

We need to find the product.

Using distributive property we get

[tex]\sqrt{12}(\sqrt{6}-\sqrt{10})+\sqrt{6}(\sqrt{6}-\sqrt{10})[/tex]

[tex]\sqrt{12}(\sqrt{6})+\sqrt{12}(-\sqrt{10})+\sqrt{6}(\sqrt{6})+\sqrt{6}(-\sqrt{10})[/tex]

Using the properties of radical expressions we get

[tex]\sqrt{12\cdot 6}-\sqrt{12\cdot 10}+\sqrt{6\cdot 6}-\sqrt{6\cdot 10}[/tex]       [tex][\because \sqrt a\sqrt b=\sqrt{ab}][/tex]

[tex]\sqrt{72}-\sqrt{120}+\sqrt{36}-\sqrt{60}[/tex]

On further simplification we get

[tex]6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}[/tex]

Therefore, the correct option is A.

Answer:

mmm+aaa+ggg=thier total weight

Step-by-step explanation:

his added to hers added to the kid is the total weighti of the three

is there something you forgot to include?

Answer:

This is the real answer I got it right

Step-by-step explanation:

           from top to bottom

                      a

                      g+m

                      g

                      m+a

your welcome

The answer is B

3x4=12

3x5=15

9x3= 27

B) 3x9= (3x5) + (3x4)

The which function can be used to find the number of cells {C} in the population at the time {t} is given by C{n} = 8(3)ⁿ.

Exponential function →

An exponential equation is given by - y = f{x} = A(B)ˣ.

Given is a bacteria population grows at an exponential rate. the number of cells [C] in the population is modeled by the function : C(t) = [tex]$a(b)^{t}[/tex].

Let t = n. We can write -

C = a(b)ⁿ

For {n} = 0, {C} = 8. So, we can write -

8 = a(b)⁰

a = 8

and

For {n} = 1, {C} = 24. So, we can write -

24 = a(b)

b = 24/8

b = 3

So, we can write the exponential equation as -

C{n} = 8(3)ⁿ

Therefore, the which function can be used to find the number of cells {C} in the population at the time {t} is given by C{n} = 8(3)ⁿ.

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Answer:

P(Male or Type B) > P(Male | Type B)

Step-by-step explanation:

Total Female = 85 type A, 12 type B  ⇒ 97 Female.

Total Male = 65 type A, 38 type B   ⇒ 103 Male

Total type A = 65 + 85 = 150

Total type B = 12 + 38 = 50

total number of people = 97 + 103 = 200

Then the probability would be:

P(Male | Type B) = [tex]\frac{number of male in B}{total number of male}[/tex]

                           = [tex]\frac{38}{103}[/tex]

                           = 0.368

P(Male or Type B) = [tex]\frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}[/tex]

                              =  [tex]\frac{103 + (50 - 38)}{200}[/tex]

                              = [tex]\frac{103 + 12}{200}[/tex]

                              = [tex]\frac{115}{200}[/tex]

                              = 0.575

 Hence, P(Male or Type B) > P(Male | Type B)

Answer:

Equation: D=12m Answer: $120

Step-by-step explanation:

Since D equals earnings it would be the total.

Since M equals lawns mowed it would be the number you did.

So 10=M

12(10)=120

Answer:

20 miles

Step-by-step explanation:

She traveled 4 miles in 15 minutes.

She went at the same speed for another hour.

1 hour is 60 minutes.

60 = 4 * 15

There are 4 15-minute periods in an hour.

Since she went 4 miles in 15 minutes, she went 4 * 4 miles in 1 hour.

4 * 4 miles = 16 miles.

She went 4 miles in 15 minutes and another 16 miles in an hour.

The total distance she traveled is 4 miles + 16 miles = 20 miles.

Answer: 20 miles

Check the picture below.

make sure your calculator is in Degree mode.

The trigonometric concept of tangent can be applied to solve this problem. The tangent of the angle of depression, which is 25 degrees, equals the vertical height (2500 feet) divided by the horizontal distance. Solving for the horizontal distance, we get approximately 5166 feet.

The subject of the question is a common application of trigonometry, specifically the use of tangent. In this scenario, we are dealing with a right triangle where the angle of depression and the height are given, and we want to find the horizontal distance. We start by realising that the angle of depression from the balloon to the clearing is the same as the angle of elevation from the clearing to the balloon. Hence, we can use the tangent of the angle, which is opposite over adjacent, or in this context, height over horizontal distance. So, if tan(25 degrees) = 2500/horizontal distance, then the horizontal distance = 2500/tan(25). Solving this gives us approximately 5166 feet, to the nearest foot.

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Answer:

[tex] \tan(35) = \frac{x}{40} \\ 40 \tan(35 ) = x \\ 28 = x \\ now \: to \: find \: h \\ h = x + 5 \\ h = 28 + 5 \\ h = 33 \: ft. [/tex]

Choice B

Step-by-step explanation:

Tangent is opposite divided by adjacent. You use tangent because they told you the student stands 40 ft. away from the base of the flag pole (adjacent side) and you need to find the opposite side which I called x. When I'm talking about sides it's in reference to the 35 degree angle that is given.

Google soh cah toa for an explanation if you need more help.

I hope this helps. This is what you do when you are bored on a Friday night lol.

Answer:

It is a Geometric series.

Step-by-step explanation:

It has a common ratio equal to a:

3a^2 / 3a = a, 3a^3 / 3a^2 = a  and so on..

It is a Geometric series.

Answer with explanation:

 The given series is:

      [tex]3 a + 3 a^2 + 3 a^3 + . . . + 3 a^n[/tex]

If you will try out to find out the ratio of

    [tex]\rightarrow\frac{\text{Second term}}{\text{First term}} {\text{or}}\frac{\text{Third term}}{\text{Second term}}  {\text{or}} \frac{\text{Fourth term}}{\text{Third term}} ........\\\\ \rightarrow\frac{3a^2}{3a}=\frac{3a^3}{3a^2}=\frac{3a^4}{3a^3}=......=a[/tex]

The Ratio of Succeeding term to it's preceding term in the given sequence is constant equal to a.

So, if any Sequence follows this kind of rule or pattern we call it Geometric Progression.

Option B:→ Geometric

Answer: 7

Step-by-step explanation:

To undo the division you multiply. (:

since the angle of the arc is equal to 68° therefore angle b which is a central angle is ganna be equal to 68° which is the central angle while angle a is 34° which is an inscribed angle and inscribed angles are equal to half the subtended arc

Answer:

6, 13, 20, 27, 34

arithmetic sequence

Step-by-step explanation:

"Start with 6" means the first term is 6.

"Add 7 repeatedly" means each term is formed by adding 7 to the one before it:

6 +7 = 13

13 +7 = 20

20 +7 = 27

27 +7 = 34

So, the first 5 terms are ...

6, 13, 20, 27, 34

_____

Any sequence in which terms have a common difference is an *arithmetic* sequence. You know these terms have a common difference of 7, because that's the number you added to each term to get to the next term. 13-6 = 7; 20-13 = 7; 27-20 = 7; and so on.

Answer:

C. 1 7/8 of a pound

Step-by-step explanation:

We can use  a ratio to solve

2 1/2 pounds     x pounds

------------------ = ---------------

1 batch               3/4 batch

Change to improper fractions

2 1/2 = (2*2+1)/2 = 5/2

5/2 pounds     x pounds

------------------ = ---------------

1 batch               3/4 batch

Using cross products

5/2 * 3/4 = 1*x

15/8 = x

Changing from an improper fraction to a mixed number

8 goes into 15 1 time with 7 left over

15/8 = 1 7/8

Answer:

1  7/8

Step-by-step explanation:

Answer:

Part a) [tex]y=400(2.5)^{x}[/tex]

Part b) [tex]3,814,697\ rice\ weevil\ population[/tex]

Part c)  [tex]16.1\ weeks[/tex]

Step-by-step explanation:

Part a) Write and simplify a formula that can be used to predict the rice weevil population for any week after the beginning of the study

we know that

100%+150%=250%=250/100=2.5

In this problem we have an exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

y ----> is the rice weevil  population

x ----> the number of weeks

In this problem

a=400 rice weevils

b=2.5

substitute

[tex]y=400(2.5)^{x}[/tex]

Part b) Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show your work

we have

[tex]y=400(2.5)^{x}[/tex]

so

For x=10 weeks

substitute

[tex]y=400(2.5)^{10}=3,814,697\ rice\ weevil\ population[/tex]

Part c) Use the formula to predict when the rice weevil population will reach 1,000,000,000.

we have

[tex]y=400(2.5)^{x}[/tex]

so

For y=1,000,000,000 rice weevil  population

substitute in the formula and solve for x

[tex]1,000,000,000=400(2.5)^{x}[/tex]

Simplify

[tex]2,500,000=(2.5)^{x}[/tex]

Apply log both sides

[tex]log(2,500,000)=x*log(2.5)[/tex]

[tex]x=log(2,500,000)/log(2.5)=16.1\ weeks[/tex]

A function assigns the values. The number of weeks it will take for the population of 400 to be 1,000,000,000 is 16.1 weeks.

A function assigns the value of each element of one set to the other specific element of another set.

A.) Given there are 400  rice weevils at the beginning. And the population is expected to grow at a rate of 150% each week. Therefore, the function that can represent the population can be written as,

Population after n weeks = 400×(1+1.5)ⁿ = 400×(2.5)ⁿ

where n is the number of weeks.

B.) The population of the rice weevils after 10 weeks will be,

Population after 10 weeks = 400×(2.5)¹⁰ = 3,814,697.266 ≈  3,814,697

C.) The time needed for the population to reach 1,000,000,000 will be,

1,000,000,000 = 400(2.5)ⁿ

2,500,000 = 2.5ⁿ

n = 16.0776 ≈ 16.1 weeks

Hence, the number of weeks it will take for the population of 400 to be 1,000,000,000 is 16.1 weeks.

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Answer:

Social Security = 5600.09, Medicare = 1309.70

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

24/(3x-3) = 44/(5x)

120x = 132x - 132

-12x = -132

x = 11

Let the number = x.

So 2 times x subtracted from 11 is written as 11-2x

The result is 4 more than the number is written as 4 +x

Now you have 11-2x = 4 + x

We can now solve for x.

Add 2x to each side:

11 = 4 + 3x

Subtract 4 from each side:

7 = 3x

Divide both sides by 3:

x = 7/3

Answer:

  192.5 ft²

Step-by-step explanation:

The large sector of the circle has a central angle measure of 360° -100° = 260°, so its area will be (260°/360°) of the circle, or ...

  large sector area = (260/360)πr² = 13π/18·(8.35 ft)² ≈ 158.195 ft²

The area of the 100° triangle is ...

  triangle area = (1/2)r²·sin(100°) = (1/2)(8.35 ft)²·sin(100°) ≈ 34.332 ft²

Then the shaded area is ...

  shaded area = large sector area + triangle area

  = 158.195 ft² +34.332 ft² ≈ 192.5 ft²

The shaded area is about 192.5 square feet.

Answer:

138 cm³

Step-by-step explanation:

Given in the question that base of the rectangular prism = 36 cm²

Height of the prism = 3 5/6 cm = 23/6

We know that the volume of a rectangular prism with base area B and height H is given by

Plug values in the formula above to find the volume of the prism

Volume = 36(23/6)

              = 6(23)

              = 138 cm³

So the volume of prism = 138 cm³

Answer:

108 cm³, 138 cm³, 180 cm³, 216 cm³

Step-by-step explanation:

I'm not if you meant to calculate three possible volumes for the prism, for heights of 3, 5 and 6 cm or if it was meant as 3 5/6... so I prepared you all the answers below.

Normally, the volume of a prism is calculated with Length x Width x Height.  The (Length x Width) part is form the base of the prism.  Since we already have that base measurement, we'll use the formula: Base x Height

So, if you meant 3 different calculations (for heights 3, 5 and 6 cm):

V = Base x Height

For a height of 3 cm, we have: V = 36 x 3 = 108 cm³

For a height of 5 cm, we have: V = 36 x 5 = 180 cm³

For a height of 6 cm, we have: V = 36 x 6 = 216 cm³

If however, you meant a single measure with 3 5/6:

For a height of 3 5/6 cm (23/6), we have: V = 36 x 23/6 = 6 * 23= 138 cm³

i got 3 and the teacher said it was right

Answer:

The surface area is divided by 25.

Step-by-step explanation:

The radius of a sphere is given as 15 m.

To obtain the surface area of the original sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(15)2=(4)(225)π=900π

The surface area of the original sphere is 900π m2.

To find the radius of the new sphere divide the radius of the original sphere by 5.

r=155=3

The radius of the new sphere is 3 m.

To obtain the surface area of the new sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(3)2=(4)(9)π=36π

The surface area is 36π m2.

Notice that 900π=25(36π). The surface area of the second sphere is 52=25 times less than the original surface area. The surface area of a sphere changes by the square of the factor that the radius changes.

Therefore, the surface area is divided by 25.

Answer:

The approximate probability that the first letter chosen is A = 0.0385....

Step-by-step explanation:

The given statement is two unique letters are chosen at random from the alphabet.

The total number of ways that the two letters would be chosen from alphabets = 650

26*25 = 650

For the first draw there are 26 letters but for the second draw there are only 25 letters left thats why we have multiplied 26 by 25.

The number of ways letters are chosen such that the first one is A, is

1*25 = 25

Thus the probability that the first letter chosen is A:

P(A)25/650 =  0.03846

By rounding off it becomes 0.0385.

Thus the approximate probability that the first letter chosen is A = 0.0385....

Answer: A. 0.0385

Step-by-step explanation:

Edg 2021

Answer:

z = 99°

Step-by-step explanation:

y = 0.5 × 96° = 48° ( inscribed angle subtended on same arc )

x = 0.5 × 66° = 33° ( inscribed angle subtended on same arc )

The sum of the 3 angles in the triangle = 180°, hence

third angle = 180° - (48 + 33)° = 180° - 81° = 99°

z = 99° ( vertical angle )

Check

96° + 99° + 66° + 99° = 360°

Answer:

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

Answer:

Can I have the options? Then I would be glad to answer

Step-by-step explanation:

Answer:

The awnser for plato users is 45 degrees. which is (A)

Step-by-step explanation:

For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:

[tex]Sin (43) = \frac {a} {26}[/tex]

Clearing the value of "a":

[tex]a = 26 * sin (43)\\a = 26 * 0.68199836\\a = 17.73195736[/tex]

Rounding off we have:

17.7

Answer:

Option B

Answer:

Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed.

Step-by-step explanation:

portfolio income refers to income generated by selling an investment tool at a higher price than that which was paid for. As such it is taxable which makes the statement;

Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed, False

The following statements about taxes are True;

Three taxes are deducted from your paycheck: federal income tax, state income tax (if applicable) and FICA.

The primary taxes on consumption are sales tax and excise tax.

Taxes on wealth and property include property tax, taxes on inheritance, estate taxes and gift taxes.

Answer:

Not all types of income are taxed

Step-by-step explanation:

Answer:

The correct answer is option B.   100π units²

Step-by-step explanation:

Formula:-

The surface area of a sphere = 4πr²

Where r is the radius of sphere

To find the surface area of given sphere

Here r = 5 units

Surface area = 4πr²

 = 4 * π * 5²

 = 4 * π * 25 = 100π units²

Therefore the  correct answer is option B.   100π units²

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 5 units. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will apply the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area :-

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times \: (5 \: units)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (5 \: units)^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 25 \: units^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 100 \: units^2 \times \pi[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 100\pi \: units^2}[/tex]

Therefore :-

[tex]\\[/tex]

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