I have SAT's tomorrow and need help with math...

Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?

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:

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

Answer: D) y = 2ˣ

Step-by-step explanation:

The graph is the shape of exponential growth.  The only option that satisfies this is D.

A) y = - (1/2)ˣ is a reflection over the x-axis of exponential decay

B) y = (1/2)ˣ is exponential decay because (1/2) < 1

C) y = - 2ˣ is a reflection over the x-axis of exponential growth

D) y = 2ˣ is exponential growth

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:

4/5 hour (48 minutes)

Step-by-step explanation:

Janet works at the rate of ...

(1 job)/(3 hours) = (1/3) job/hour

So, in 1 hour, she has worked 1/3 of the job, leaving 2/3 of the job remaining when Garry shows up.

Garry works at the rate of ...

(1 job)/(2 hours) = 1/2 job/hour

So, together they work at the rate of ...

(1/3 job/hour) + (1/2 job/hour) = (2/6 +3/6) job/hour = 5/6 job/hour

Then the time it takes to do the remaining 2/3 job is ...

(2/3 job)/(5/6 job/hour) = (2/3·6/5) hour = 4/5 hour

It will take 4/5 hour for them to finish the job together.

Answer: 4/5 of an hour or 48 minutes

Step-by-step explanation:

Janet's Rate : 1 job / 3 hours = 1/3 job/hour

In 1 hour, 1/3 of the job is already finished by her, so there is 2/3 of the job left.

Garry's Rate:

1 job / 2 hours = 1/2 job/hour

Janet an Garry's Rate:

1/3 job/hour + 1/2 job/hour = 2/6 +3/6 job/hour = 5/6 job/hour

Time to do remaining 2/3 of job:

2/3 job / 5/6 job/hour = 2/3 * 6/5 hour = 4/5 hour

Answer:

It will take 4/5 of an hour for them to finish the job together.

                                 I 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: 1/3 or 1 out of 3 times

Step-by-step explanation: It seems as though there are only three options for it to land on, Upper case, g, and f-therefore you have a 1 in 3 chance for each

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

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.)

The inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet is  -[tex]16t^2 + 48t > 8[/tex]

To solve this inequality, let's rearrange it:

-[tex]16t^2 + 48t - 8 > 0[/tex]

Now, we have a quadratic inequality. To solve it, we'll first find the critical points by setting the expression equal to zero:

[tex]-16t^2 + 48t - 8 = 0[/tex]

Now, we'll use the quadratic formula to find the roots:

[tex]t = [ -b ± √(b^2 - 4ac) ] / (2a)[/tex]

Where a = -16, b = 48, and c = -8.

Plugging in these values, we get:

[tex]t = [ -48 ± √(48^2 - 4(-16)(-8)) ] / (2(-16))[/tex]

[tex]t = [ -48 ± √(2304 - 512) ] / (-32)[/tex]

[tex]t = [ -48 ± √(1792) ] / (-32)[/tex]

[tex]t ≈ [ -48 ± 42.35 ] / (-32)[/tex]

Now, we have two critical points:

t1 ≈ (-48 + 42.35) / (-32) ≈ 0.186

t2 ≈ (-48 - 42.35) / (-32) ≈ 2.814

Now, we'll test intervals between and outside these critical points to determine when the inequality is satisfied:

For t < 0.186: The quadratic term dominates, leading to a negative value.

For 0.186 < t < 2.814: The quadratic term dominates, leading to a positive value.

For t > 2.814: The linear term dominates, leading to a negative value.

So, the solution to the inequality is 0.186 < t < 2.814.

Thus, the stick reaches a height of more than 8 feet between approximately 0.186 seconds and 2.814 seconds.

Complete question:

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

Answer:

x = 11

Step-by-step explanation:

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

120x = 132x - 132

-12x = -132

x = 11

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:

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:

Social Security = 5600.09, Medicare = 1309.70

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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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

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:

s ^3sqrt27 or A

Step-by-step explanation:

Answer:

The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only

Step-by-step explanation:

* Lets revise some facts about the quadrilateral

- Quadrilateral is a polygon of 4 sides

- The sum of measures of the interior angles of any quadrilateral is 360°

- The sum of measures of the exterior angles of any quadrilateral is 360°

* Lets solve the problem

- DEGC is a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The sum of the measures of its interior angles is 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The sum of measures of the exterior angles of any quadrilateral is 360°

∴ The statement in answer F is only true

Answer:

F

Step-by-step explanation:

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:

18  and 6

Step-by-step explanation:

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.

The answer is B

3x4=12

3x5=15

9x3= 27

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

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:

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:

[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:

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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Have a great day! <33

Answer:

A)

Blue: [tex]\frac{6}{10} =\frac{3}{5}[/tex]

Red: [tex]\frac{1}{10}[/tex]

B)

Blue: [tex]\frac{16}{40} =\frac{2}{5}[/tex]

Red: [tex]\frac{8}{40} =\frac{1}{5}[/tex]

C)

No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.

D)

Blue: 80

Yellow: 50

Red: 40

Orange: 30

Answer:

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

Step-by-step explanation:

Hope this helps!