olve these story problems.
Mr. Wilcox drove 459 miles at the aver-
age speed of 51 miles per hour. How
many hours did it take him to reach his
destination?​

Answer:

d) 87.92

Step-by-step explanation:

V = A(base)* height= πr² * h= 3.14*2²*7=87.92

Answer:

b. Determine the number of homozygous dominant alleles for red eyes

Step-by-step explanation:

Answer: lump sum investment

Step-by-step explanation:

Answer:

It is lump-sum payments.

Step-by-step explanation:

What is lump-sum payment?

A lump-sum payment is an amount paid all at once, as opposed to an amount that is divvied up and paid in installments.

What is investment?

Investment is the dedication of an asset to attain an increase in value over a period of time.

An investment in which all of the money to bee invested is deposited at one time is called lump-sum payment.

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Answer:

The correct option is:

The student should have switched the direction of the inequality sign to get –5> x for a final answer

Step-by-step explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality  reverse its direction.

In step 3 the student divided 25 by -5 but did not  switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer

Answer:

C

Step-by-step explanation:

Just did it

Answer:

6.97

Step-by-step explanation:

t r u s t me

Rounding to the nearest hundredth, we get [tex]\( AB \approx 6.97 \)[/tex]. So, the correct answer is indeed [tex]\( x \approx 6.97 \).[/tex]

To find the length of side AB, we can use the sine function as follows:

[tex]\[ \sin(B) = \frac{{\text{opposite}}}{{\text{hypotenuse}}} \][/tex]

In this case, [tex]\( \sin(35^\circ) = \frac{4}{AB} \).[/tex]

We rearrange this equation to solve for AB:

[tex]\[ AB = \frac{4}{{\sin(35^\circ)}} \][/tex]

Now, we'll calculate:

[tex]\[ AB = \frac{4}{{\sin(35^\circ)}} \]\[ AB \approx \frac{4}{{0.5736}} \]\[ AB \approx 6.97 \][/tex]

Rounding to the nearest hundredth, we get [tex]\( AB \approx 6.97 \)[/tex]. So, the correct answer is indeed [tex]\( x \approx 6.97 \).[/tex]

Answer:

100 degrees

Step-by-step explanation:

Answer:

Net income = $464

Step-by-step explanation:

The tax paid = 580 *2/10 = $116

The gross income = $580

Net income = gross income - tax

= $580 - $116 = $464

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case [tex]\frac{112}{3}\pi[/tex] cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

Answer:

Monthly amortization paid is $1,135

Amount of interest paid is $308,469

Step-by-step explanation:

Here, we are interested in calculating the monthly payment paid and the total value of this interest.

Firstly, we calculate the amount which this loan would be at the end of the 30 years.

To calculate this amount, we make use of the compound interest amount formula

A = P(1 + r/n)^nt

where A is the amount we want to calculate

P is the amount borrowed which is $100,000

r is the interest rate which is 4.7% or simply 4.7/100 = 0.047

n is the number of times yearly which the interest is compounded which is 12 since it is compounded monthly

t is the total time taken to repay the loan which is 30 years

Plugging these values, we have

A = 100,000( 1 + 0.047/12)^(12 * 30)

A = 100,000( 1+ 0.00392)^360

A = 100,000(1 .00392)^360

A = $408,469

The monthly payment needed to amortize the loan will be the amount after 30 years divided by the number of months in 30 years

The number of months in 30 years is 30 * 12 = 360 months

The monthly payment amount is thus 408,469/360 = 1,134.6 approximately $1,135

The total interest paid will be the amount minus the principal

This is $408,469 - $100,000 = $308,469

Answer:

Find the 73rd term of the arithmetic sequence -28, -41, -54, ...... -964

Step-by-step explanation:

U73 = -28 + (73 - 1)-13

U73 = -28 - 949 + 13

U73 = -964

The 73rd term of the arithmetic sequence -28, -41, -54, ... is -964, calculated using the formula of an arithmetic sequence.

The 73rd term of the arithmetic sequence -28, -41, -54, ... can be found by using the formula of arithmetic sequence which is a + (n - 1) * d, where 'a' is the first term of the sequence, 'd' is the common difference, and 'n' is the term number. Here, 'a' is -28 and 'd', the difference between the terms, is -13 because -41 - (-28) = -13.

So, plugging in these values to the formula: a + (n - 1) * d = -28 + (73 - 1) * -13 = -28 - 936 = -964. Therefore, the 73rd term of the sequence is -964.

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Answer:

27

Step-by-step explanation:

Of means multiply

60% * 45

Change to decimal form

.60* 45

27

Answer:

$47,386.44

Step-by-step explanation:

Given;

Dimension of the field = 725 feet by 1,021 feet

Length = 1021 ft

Breadth = 725 ft

Cost per foot = $13.57 per foot

Perimeter of the field = 2 × (length + breadth)

Perimeter = 2 × ( 1021 + 725) = 3492 ft

The cost of fencing the field is;

Cost per feet × perimeter

= $13.57 × 3492

= $47,386.44

Answer:

170

Step-by-step explanation:

Answer:

Amount of cake mix baking pan can hold is 99 ounces

Step-by-step explanation:

Here we have the size of the baking pan is given by the following relation

Volume of baking pan = Length × Width × Height

Volume of baking pan = 12 in. × 6 in. × 2.5 in. = 180 in.³

Mass of 1 cubic inch of cake mix = 0.55 ounces, therefore, the mass of cake mix that the 180 in.³ baking pan can hold is found as follows;

Amount of cake mix baking pan can hold = Volume of baking pan × Mass per cubic inch of cake mix

Amount of cake mix baking pan can hold = 180 in.³ × 0.55 ounce/in.³ = 99 ounces.

Answer:

5

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

2=1³+1

9=2³+1

28=3³+1

65=4³+1

=>5³+1=126

The rule is: n³+1

Answer:

Graph 1.

Step-by-step explanation:

Th graph of [tex]y=\cos{(x-\pi)}[/tex] looks exactly like the graph of [tex]y=\cos{x}[/tex] if we shifted the axes [tex]\pi[/tex] units to the left. This has the visual effect of shifting the graph forward [tex]\pit[/tex][tex]\pi[/tex] units (imagine filming someone and panning the camera to the left; the person moves right in the camera frame).

So the point at [tex]x=0[/tex], which used to be [tex](0, \cos{0})=(0,1)[/tex] is now [tex](0,\cos{(0-\pi)})=(0,\cos{(-\pi)})=(0,-1)[/tex], which we can find on the first graph.

The graph of the cosine function is the first graph (counting from the left).

This is rather easy to see.

We do know that cos(− π) = cos (π) = -1

In this case, where:

f(x) = y = cos(x − π)

We will have:

f(0) = cos( − π) = -1

So we only need to see which graph has a y-intercept equal to -1. By looking at the graphs we can see that the only one that meets this condition is the first graph (counting from the left). So that is the correct option.

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Answer:

5 hours 46 minutes

Step-by-step explanation:

Answer:

21/40, 17/20, 29/40, 3/4, 4/5

Step-by-step explanation:

21/40 = 10.5/20

29/40 = 14.5/20

17/20 = 13.5/20

3/4 = 15/20

4/5 = 16/20

Answer:

AMY

BMY

BMX

Step-by-step explanation:

I took the assignment

Answer:

The answers are : B, B, A

Step-by-step explanation:

RIGHT ON EDG!

The correct statement is the mode is greater for Mrs. Ramos’s class.

Median is the number in the middle of a dataset.  Mode is the number that occurs most frequently in the dataset.

Number of pets in  Mr. McIntyre’s class = 0,0,0,0,0,1, 1, 1, 1, 1, 4, 4, 4, 4, 1,

Number of pets in  Mrs. Ramos’s Class = 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3

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Answer:

The answer is C) the mode is greater for Mrs. Ramos’s class.

Step-by-step explanation:

If you need any help with this question please ask me! :)

Answer:

4183y

Step-by-step explanation:

Multiply 73 and 61

73 × 61y = 4453

4453 - (45 × 6y)

Then multiply 45 by 6

45 × 6 = 270

4453y - 270y

Subtract

4453y - 270y = 4183y

Answer:

the factored form is -5x^2(7x-1)

Answer:

5k^2(1 - 7k)

Step-by-step explanation:

hope this helps(:

Answer: an= -6(3)^(n-1)

(B)

Step by step explanation: a1 is -6 and a2 is -18, only B would match the sequence. The only other answer that comes close is -6(-3)^(n-1) but if you multiply -6 by -3 you get 18 instead of -18

Answer:

148

Step-by-step explanation:

an outlier is somthin that stands out

Answer:

148

Step-by-step explanation:

Its farther away from all the other numbers

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = [tex]21m^3[/tex]

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

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

Substitute 21 for V; this gives

[tex]21 = \pi r^2h[/tex]

Divide both sides by h

[tex]\frac{21}{h} = \frac{\pi r^2h}{h}[/tex]

[tex]\frac{21}{h} = \pi r^2[/tex]

The next step is to solve for the volume of the sphere using the following formula;

[tex]V = \frac{4}{3}\pi r^3[/tex]

Divide both sides by r

[tex]\frac{V}{r} = \frac{4}{3r}\pi r^3[/tex]

Expand Expression

[tex]\frac{V}{r} = \frac{4}{3}\pi r^2[/tex]

Substitute [tex]\frac{21}{h} = \pi r^2[/tex]

[tex]\frac{V}{r} = \frac{4}{3} * \frac{21}{h}[/tex]

[tex]\frac{V}{r} = \frac{84}{3h}[/tex]

[tex]\frac{V}{r} = \frac{28}{h}[/tex]

Multiply both sided by r

[tex]r * \frac{V}{r} = \frac{28}{h} * r[/tex]

[tex]V = \frac{28r}{h}[/tex] ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

[tex]h = D[/tex] , where D represents diameter of the sphere

Recall that [tex]D = 2r[/tex]

So, [tex]h = D = 2r[/tex]

[tex]h = 2r[/tex]

Substitute 2r for h in equation 1

[tex]V = \frac{28r}{2r}[/tex]

[tex]V = \frac{28}{2}[/tex]

[tex]V = 14[/tex]

Hence, the volume of the sphere is 14m³

Answer:

Step-by-step explanation:

We have:

[tex]Cylinder:\\\R-\text{radius}\\H=2R-\text{height}\\V_C-\text{volume};\ V_C=21m^3\\\\\text{the formula of a volume of a cylinder:}\ V=\pi R^2H\\\\V_C=\pi R^2(2R)=2\pi R^3[/tex]

[tex]Sphere:\\\R-\text{radius}\\V_S-\text{volume}\\\\\text{the formula of a volume of a sphere:}\ V=\dfrac{4}{3}\pi R^3[/tex]

[tex]Let's\ transform\ V_C:\\\\2\pi R^3=21\qquad\text{divide both sides by 2}\\\\\pi R^3=\dfrac{21}{2}\qquad\text{multiply both sides by}\ \dfrac{4}{3}\\\\\dfrac{4}{3}\pi R^3=\dfrac{21}{2}\cdot\dfrac{4}{3}\to V_S=\dfrac{(21:3)\cdot(4:2)}{(2:2)\cdot(3:3)}=\dfrac{7\cdot2}{1\cdot1}=\dfrac{14}{1}=14\ (m^3)[/tex]

Answer:

36

Step-by-step explanation:

Answer:

36 I did the math

Step-by-step explanation:

EZ

Answer:

0.25

0.5

Step-by-step explanation:

[tex]\frac{1}{4}[/tex]

[tex]\frac{1}{2}[/tex]

.25 = 25/100 = 1/4

.50 = 50 /100 = 1/2

Answer:

0

−

8

=

−

8

0-8=-8

20

=

−

8

20=-8

O

⋅

40

=

40

O

O⋅40=40O

−

8

=

40

O

-8=40O

O

−

8

=

40

O

O-8=40O

8

=

40

O

8=40O

O

⋅

40

=

40

O

O⋅40=40O

20

=

40

O

20=40O