Sally paid the following bills rent $450.00 cell phone $37.50 and cable $69.99 how much money did she pay ?

Answers

Answer 1

Answer:

557.49

Step-by-step explanation:

Add the three bills together

450.00

 37.50

 69.99

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

557.49


Related Questions

what rule matches the function represented by the table? ​

Answers

Let's try a line

y = mx + b

From (0,4):

4 = 0x + b

b = 4

So far we have

y = mx + 4

From (1,1)

1 = m(1) + 4

-3 = m

Our rule is y = -3 x + 4

Let's check the other points:

-3(-4)+4 = 12+4 = 16 good

-3(4)+4 = -12+4 = -8 good

-3(9) + 4 = -23  good

Answer: y = -3 x + 4

Final answer:

The rule matching a function as shown by a table can be determined by analyzing the difference and relationship between x-values and y-values. This might represent a linear, exponential, or quadratic relationship, which can be described by a range of mathematical equations.

Explanation:

Unfortunately, without having the actual table and data, it is hard to give an accurate rule for the function. However, generally, in order to define a rule that matches a function represented by a table, you would need to discern a pattern between the inputs (often represented by the x-values) and the outputs (represented by the y-values).

In some cases, this might be a simple linear rule where each step in the x-values increases or decreases the y-values by a consistent rate; this would represent a formula of the format y = mx + b, where m is the change in y over the change in x, and b is the y-value when x = 0. Alternately, more complex relationships (such as exponential or quadratic rules) might be represented and would need different formulas to be described properly.

Determining the rule can often involve finding the rate of change between pairs of data points and discerning what kind of relationship this reveals. The explanation and answer would then match this established pattern.

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bob needs to be at school by 7:00 it takes him 1 hour and 21 minutes to get there. his morning routine takes 30 minutes. what time should bob leave the house​

Answers

Answer:

5:00

Step-by-step explanation:

1 hour 21 minutes = 1,35 hours

30 minutes = 0,5 hours

1,35-0,5=0,85 hours he needs to get to school

7-0,85=6,15

6,15 = 6 hours 9 minutes

In 6 hours 9 minutes he needs to leave the house

find the length of bc
give your answer to 3 signifcant figures

Answers

Using the cosine ratio, side BC in the right-angled triangle is approximately 19.4 cm when rounded to three significant figures.

In the right-angled triangle ABC, where angle A is 90 degrees, side AB is the base, side AC is the perpendicular, and side BC is the hypotenuse, we can use trigonometry to find the length of BC.

The cosine ratio (cos) relates the adjacent side to the hypotenuse in a right-angled triangle. In this case, cos(B) = AB/BC. To find BC, rearrange the formula to BC = AB/cos(B).

Given AB = 6.3 cm and angle B = 71 degrees, substitute these values into the formula:

[tex]\[ BC = \frac{6.3 \, \text{cm}}{\cos(71^\circ)} \][/tex]

Using a calculator, find that cos(71 degrees) is approximately 0.325. Now, divide 6.3 cm by this value:

[tex]\[ BC \approx \frac{6.3 \, \text{cm}}{0.325} \approx 19.385 \, \text{cm} \][/tex]

Rounded to three significant figures, the length of side BC is approximately 19.4 cm.

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Find the Area of the figure below, composed of a rectangle and two semicircles.
Round to the nearest tenths place.
13

Answers

Answer:

154.29

Step-by-step explanation:

The area of rectangle is given by

Ar=lw

Area of semi circle is given by

[tex]A_c=0.5\pi r^{2}[/tex]

Since there are two semi-circles then the area will be

[tex]A_c=2*0.5\pi r^{2}=\pi r^{2}[/tex]

The diameter is given as 8 units hence the radius is half the diameter, 4 units

Length is given as 13 units and width is diameter which is equal to 8 units

Area of rectangle will be 13*8=104 square units

Area of the two semi-circles will be

[tex]A==\pi 4^{2}=50.285714285713[/tex]

Total area wi be 104+50.285714285713=154.285714285713 square units

Rounded off as 154.29 square units

Answer:

The answer is 154.3

A sphere has a volume of 4500pi cubic feet what is the radius of the sphere

Answers

Given a volume of 4500π cubic feet, the radius is found to be approximately 15 feet after solving the equation.

To find the radius of a sphere given its volume, we use the formula for the volume of a sphere: V = (4/3)πr³. In this case, the given volume is 4500π cubic feet. To solve for the radius, we can set up the equation as follows:

V = (4/3)πr³

4500π = (4/3)πr³

To isolate r³, we divide both sides by π and then multiply by 3/4:

4500 = (4/3)r³

(3/4) * 4500 = r³

3375 = r³

Now, we take the cube root of both sides to find the radius:

r = ³√3375

r ≈ 15 feet

Therefore, the radius of the sphere is approximately 15 feet.

the radius of the sphere is 15 feet.

The formula for the volume [tex](\( V \))[/tex] of a sphere in terms of its radius [tex](\( r \))[/tex] is:

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

Given that the volume of the sphere is [tex]\( 4500\pi \)[/tex] cubic feet, we can set up the equation:

[tex]\[ 4500\pi = \frac{4}{3}\pi r^3 \][/tex]

To find the radius [tex]\( r \)[/tex], we need to isolate it in the equation. First, let's cancel out [tex]\( \pi \):[/tex]

[tex]\[ \frac{4500\pi}{\pi} = \frac{4}{3} r^3 \][/tex]

[tex]\[ 4500 = \frac{4}{3} r^3 \][/tex]

Now, to solve for [tex]\( r \)[/tex], we'll multiply both sides by [tex]\( \frac{3}{4} \)[/tex] to isolate [tex]\( r^3 \):[/tex]

[tex]\[ r^3 = \frac{4500 \times 3}{4} \][/tex]

[tex]\[ r^3 = \frac{13500}{4} \][/tex]

[tex]\[ r^3 = 3375 \][/tex]

Now, to find ( r ), we'll take the cube root of both sides:

[tex]\[ r = \sqrt[3]{3375} \][/tex]

[tex]\[ r = 15 \][/tex]

So, the radius of the sphere is 15 feet.

How many unique triangles can be drawn with the side lengths 12 cm and 16 cm and 50 degrees included angle?

Answers

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

What is Triangle?A polygon that has three vertices which are joined by three line segmentsWhy only 1 triangle can be drawn?   Only one unique triangle can be drawn because of Side angle side property where  two side lengths and the angle included between them.

Hence Only 1 triangle can be drawn

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When a group of people were tested for a rare disease, 99.6 percent of them
were found not to have the disease If the 10 people did have the disease, how
many people were tested? *​

Answers

Answer:

2600 were tested

99.6% of 2590 = - 10 + 10  = 2600 people.

99.6% of 2600 = 2589.6

Step-by-step explanation:

10 = positive = inverse of 99.6 = 0.4

0.4 x 1000 = 400

So we need an odd number ie) 3,000 minus 400 to make 10 extra when inverse is missing. = 3000 - 400 = 2600

99.6% of 2600 = 2589.6

Is the lowest number.

What is the range of the function graphed on the grid

Answers

Answer:

G

Step-by-step explanation:

Range is the set of y values

Least function value is -3 and greatest is 4

The range of the function is -3 ≤ y ≤ 4, the correct option is G.

What is a Function?

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain.

Domain is all the value a function can have as an input

Range is all the value that a function can have as an output.

The function can be seen in the graph, it is a piecewise function

The range of the function has to be determined, all the possible value of y has to be noted from the graph.

The y has the value in the range of -3 to 4.

So, the range is -3 ≤ y ≤ 4.

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if you divide 30 by half and add ten, what do you get?

Answers

Answer:

70

Step-by-step explanation:

Dividing is multiplying by the reciprocal.

So 30 divided by 1/2

is like 30(2)=60

Then add 10 so 60+10=

70

The equivalent value of the expression "dividing 30 by half and adding ten"  is 70.

Given data:

Regarding step-by-step dissecting of "dividing 30 by half and adding ten"

Step 1 is to divide 30 in half.

A number is effectively divided by 1/2 when we divide it in half. A fraction's reciprocal is what you multiply by when you divide by it. 1/2 has a reciprocal of 2/1, or only 2.

As a result, multiplying 30 by 2 is equivalent to dividing it in half:

To make the equation simpler:

30 ÷ (1/2) = 30 × 2

= 60

Step 2: Ten-folding.

We obtain 60 by dividing 30 in half.

Now double the outcome by ten:

60 + 10 = 70

So, when you multiply 30 by half, add 10, and you get 70.

Hence, the equation is solved and the solution is 70.

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The common ratio of a geometric series is \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

Answers

Answer:

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

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

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]

We put the common ratio, n=4 and equate to 170.

[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]

Simplify:

[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170[/tex]

[tex] \frac{255}{256} a_1 = \frac{3}{4} \times 170[/tex]

[tex]\frac{255}{256} a_1 = \frac{255}{2} [/tex]

[tex]\frac{1}{256} a_1 = \frac{1}{2} [/tex]

[tex] a_1 = \frac{1}{2} \times 256[/tex]

[tex]a_1 = \frac{1}{2} \times 256 = 128[/tex]

Answer:

128

Step-by-step explanation:

Three angles of a triangle are cut off in lined up on the line below which statements describe the relationship of the angles in a triangle check all that apply

Answers

Answer:

1/3

Step-by-step explanation:

step-by-step explanation is three angles of triangle are cut off so 1/3

Can someone explain this to me please? It would be so much help : )

Answers

For mean it’s decrease and for median it’s cannot be determined. I don’t know the one for standard deviation sorry

Minimum price: Increases.

Maximum price: Remains the same.

Range: Increases.

Mean (Average) price: Cannot be determined.

When the kid's meal is added to the menu, the effect on the statistics of the meal prices can be determined as follows:

Minimum Price: Increases

Adding the kid's meal, which costs $2.35, to the menu will increase the minimum price.

Therefore, the value of the minimum price statistic will increase.

Maximum Price: Increases

Since the maximum price of the kid's meal ($2.35) is lower than the previous maximum price of $12.10, adding the kid's meal to the menu will not change the maximum price.

Therefore, the value of the maximum price statistic remains the same.

Range: Increases

The range is calculated as the difference between the maximum and minimum prices.

As the minimum price increases while the maximum price remains the same, the difference between them (the range) will increase.

Therefore, the value of the range statistic will increase.

Mean (Average) Price: Cannot be determined

To determine the effect on the mean price, we would need information about the number of meal options available and their individual prices. Without this information, we cannot determine whether the mean price will increase, decrease, or remain the same.

Therefore, the value of the mean price statistic cannot be determined.

In summary:

Minimum price: Increases

Maximum price: Remains the same

Range: Increases

Mean (Average) price: Cannot be determined

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Really Need help please

Answers

1. Add the total ages up and divide that by the number of volunteers, that gives you 130 as the total ages added up and 10 volunteers, which gives you a mean of 13,
2. When the numbers are put in an ascending order 12 and 13 appear to be the middle two, therefore divide the sum of the two to find the median, which is 12.5.

Answer:

See below in BOLD.

Step-by-step explanation:

Rearrange in ascending order of age:

11 11 11 12 12 13 14 15 15 16

1. The mean = (11 +11 +11 +12 +12 +13+ 14 +15+ 15+ 16) / 10

= 130/10

= 13 years.

2.  The median is the mean of the middle 2 numbers in the list:

= (12 + 13) / 2

= 12.5 years.

Evelyn is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour tutoring. In a given week, she can work a maximum of 15 total hours and must earn no less than $200. If Evelyn worked 8 hours lifeguarding, determine the maximum number of whole hours tutoring that she can work and still meet her requirements.

Answers

Final answer:

Given Evelyn's hourly rates for both of her jobs and the total number of working hours she has, Evelyn can work a maximum of 7 hours tutoring if she has already spent 8 hours lifeguarding.

Explanation:

To solve this problem, we first calculate the total earning from lifeguarding by multiplying the hourly rate by the number of hours she worked, which results in $18 * 8 = $144. The minimum total earning she must make is $200, so she still needs to earn $200 - $144 = $56. Since she is making $11 per tutoring hour, she will need to work a minimum of $56 / 11 which is approximately 5 hours. However, these are still part of the total of 15 hours maximum she can work, and she has already worked 8 hours lifeguarding, meaning she can work at most 15 - 8 = 7 hours tutoring in the remaining time.

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The maximum number of whole hours tutoring that Evelyn can work while still meeting her requirements is 5 hours.

To solve this problem, we can use a combination of inequalities to represent the given constraints.

We need to solve these inequalities simultaneously to find the maximum number of whole hours Evelyn can work as a tutor.

1. The first inequality:

[tex]\[ x + 8 \leq 15 \][/tex]

[tex]\[ x \leq 15 - 8 \][/tex]

[tex]\[ x \leq 7 \][/tex]

2. The second inequality:

[tex]\[ 18(8) + 11x \geq 200 \][/tex]

[tex]\[ x \geq \frac{56}{11} \][/tex]

[tex]\[ x \geq 5.09 \][/tex]

Since the number of tutoring hours must be a whole number, Evelyn can work a maximum of 5 whole hours tutoring and still meet her requirements.

Therefore, the maximum number of whole hours tutoring that Evelyn can work while still meeting her requirements is 5 hours.

Simplify the following expression:
Sq -16+sq-25+5

Answers

Final answer:

The simplified form of the expression √(-16) + √(-25) + 5 is 5 + 9i, where i represents the imaginary unit.

Explanation:

The student has asked to simplify the expression Sq -16+sq-25+5. This appears to be a typo, and I believe they are referring to square roots. The correct mathematical expression to simplify should be √(-16) + √(-25) + 5. The simplification of the square roots involving negative numbers results in imaginary numbers because the square root of a negative number is not defined in the set of real numbers but rather in complex numbers. For the given expression, complex numbers and imaginary units ('i', wherein i^2 = -1) will be introduced in simplification:




   
   



When we add these results with 5, we obtain 5 + 4i + 5i, which simplifies to 5 + 9i.

−4 = 2t − 2 what does t equal

Answers

Answer:

t = -1

Step-by-step explanation:

-4 = 2t - 2

2t = -2

t = -1

Can I get brainliest

Answer:

t = -1

Step-by-step explanation:

-4 = 2t - 2

Add 2 on both sides.

-4 + 2 = 2t - 2 + 2

-2 = 2t

Divide both sides by 2.

-2/2 = (2t)/2

-1 = t

Find the area of the rhombus.

Answers

Answer:

The answer is 67.5

Step-by-step explanation:

The diagram shows a partly filled water tank.
A third of the tank is filled with water.
1 cubic metre is equivalent to 1000 litres.
Work out the quantity of water in the tank.
Give your answer in litres.

Answers

Answer:

8000 litres

Step-by-step explanation:

⅓ (4 × 2.5 × 2.4)

= 8 m³

1 m² = 1000 litres

8 m³ = 8000 litres

Final answer:

The volume of water in the tank in litres can be found by calculating one third of the capacity of the tank in cubic metres and then multiplying that by 1000. We represent this as 1000X/3 litres, where X is the total capacity of the tank in cubic metres.

Explanation:

To solve this problem, we firstly need to know the total capacity of the tank in cubic metres. Since we don't have this specific information in the question, let's call this capacity as 'X' cubic metres.

One third of the tank is filled with water, so the volume of water in the tank is one third of X, which is (1/3) * X cubic metres. We know that 1 cubic metre is equivalent to 1000 litres, therefore, the volume of the water in the tank in litres is (1/3) * X * 1000, which simplifies to 1000X/3 litres.

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Explain how to write an equivalent expression using the
distributive property.
2(11 + y)

Answers

Answer:

I believe this is the answer your looking for? 22 + 2y

Step-by-step explanation:

Answer:

To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses.

The products are 2(11) and 2(y).

The equivalent expression is 22 + 2y.

Step-by-step explanation:

hope this helps!

if you can solve this ill give you the brainliest.

Answers

It's either 1 or 9? ‍♀️

Answer:

1

Step-by-step explanation:

Use PEMDAS

(Solve division first)

9 - 9 + 1 =

(Solve from left to right)

1

On a map with a scale of 1 in. = 30 miles, the distance between Tarreytown and Hillville is 4 1 /2 in. What is the actual distance between the towns to the nearest mile?

Answers

Answer: 135 miles

Step-by-step explanation: I am quick mafs

What is the distance between (-5, -6) and (-3,-8)?

Answers

Answer:

[tex]\sqrt{8}[/tex] Is Correct!

The distance between (-5, -6) and (-3,-8) is [tex]\sqrt{8}[/tex].

Calculation of the distance:

Here we applied the distance formula

[tex]= \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} \\\\= \sqrt{(-3+5)^2 + (-8 + 6)^2}\\\\ = \sqrt{4 + 4} \\\\= \sqrt{8}[/tex]

Hence, we can conclude that The distance between (-5, -6) and (-3,-8) is [tex]\sqrt{8}[/tex].

 

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Jeannie works 5 hours on Tuesday, 3 hours on Wednesday, and 4.5 hours on Thursday. If h represents her hourly pay rate, which expression below shows the amount she earned?
12.5
12.5h
12.5 + h
StartFraction 12.5 Over h EndFraction

Answers

Answer:12.5h

Step-by-step explanation:

First, you would add 5+3+4.5. This equals 12.5. H represents her hourly pay rate. In order to find how much she earned, you would have to multiply 12.5(h).

Answer:12.5h

Step-by-step explanation:

What 2 numbers added equal 21 but when subtracted equal 5?
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ!?!?!?!?!?!?!?!!?!?
HHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

13 and 8

Step-by-step explanation:

pls mark this brainliest im trying to lvl up

The two numbers that add up to 21 but subtract to 5 are 13 and 8.

The two numbers are 13 and 8.

To find the numbers, set up the system of equations:
x + y = 21 (Equation 1)
x - y = 5 (Equation 2)

Adding Equation 1 and Equation 2, you get 2x = 26, which means x = 13.

Substituting x back into Equation 1 gives y = 8.


Compare the original figure to the enlarged figure.

Which ratios can be used to find the scale factor?

Check all that apply.

Can you help me, please!

Answers

Given:

Original figure and enlarged figure

To find:

Which ratios can be used to find the scale factor.

Solution:

Scale factor is the ratio of comparing the corresponding sides of two figures.

Option A:

[tex]$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{6.5}{3.25}$[/tex]

Length of enlarged side = 6.5

Length of original side = 3.25

It is correct.

Option B:

[tex]$\text {Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{3.25}{6.5}$[/tex]

3.25 is the length of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Option C:

[tex]$\text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=\frac{3}{1.5}$[/tex]

Width of enlarged side = 3

Width of original side = 1.5

It is correct.

Option D:

[tex]$\text{Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3}$[/tex]

1.5 is the width of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Option E:

[tex]$\text{Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3.25}$[/tex]

1.5 is the width of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Therefore the ratios can be used to find the scale factor are:

[tex]$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{6.5}{3.25}\ \text{and }\ \text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=\frac{3}{1.5}$[/tex]

Answer:

A C

Step-by-step explanation:

Help asappp plzzzzzzzzzz

Answers

Answer: The answer is 175

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

In the diagram, the measure of angle 3 is 76° What is the measure of angle 4

Answers

Answer:

104

Step-by-step explanation:

180- 76 = 104

Answer:

104

Step-by-step explanation:

What is science as defined in the intergrated science​

Answers

Answer:

"Integrated science is defined as a cumulative approach of scientific study that synthesizes the per- spectives of the individual disciplines, and integrates them during all phases of the approach to a question or problem, with the results having an influence on policy and management decision".

Step-by-step explanation:

*Hope this helps*

Science is a systematic study of the natural world that relies on evidence and logical testing of ideas, including various disciplines such as physics, chemistry, and biology.

Science is a systematic examination of the natural world's structure and functioning, including its physical and biological attributes. It is a process of gaining knowledge based on evidence and logical testing of ideas. Natural sciences encompass physics, chemistry, biology, geology, and astronomy and use mathematics and logic as part of their methodologies.

giving 35 points if your wrong your getting reported !

Answers

Answer:

The answer is 1680m3

Step-by-step explanation:

h×b×1/2×w

identify the arc length of TV in terms of pie with radius of 5

Answers

To find arc length, start by dividing the arc's central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length. Sorry I don’t have an exact answer, but I hope this helped :)
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What is the first and longest step of meiosis j+2 = 3k+5 in terms of k At the 2010 Winter Olympics in Vancouver, the top 8 countries got a total of 60 gold medals. Of the 60, Russia got 3 gold medals. Write and solve an equation to find what percent of the total gold medals, for the top countries, Russia got. What were the functions of the Congress under the articles of confederation? Plz help this is due in 9 mins Which set of numbers cannot represent the lengths of the sides of a triangle?A.9, 12, 19B.7, 18, 11C.7, 5, 6D.6, 8, 11 What is the relationship between nature and human nature in this poem? (A LIGHT EXISTS IN SPRING) please help Brenda has 18 fish in an aquarium. The fish are the following colors: 5 orange, 7 blue, 2 black, and 4 green. Brendas trouble-making cat has grabbed a fish.What is the probability the cat did NOT grab an orange fish?1/33/413/1813/5 Please help me and comment if you know Helena wants to paint a box in the shape of a cube with sides that are 18 inches long. what is the surface area that Helena will paint? Sonny took 16 seconds to finish a 100 m race . what was sonny 's average speed in the race ? give your answer decimal form The neuronal circuitry to skeletal muscles involves neurons that stimulate contractions and those that inhibit contractions. The muscle spindles and Golgi tendon organs are involved in maintaining the proper muscle tonus (resting muscle tension); they work by signaling the CNS. Since tetanus involves __________, the neurons involved in muscle contraction __________ are affected. What is 145 divided by 788 Find the volume of the cube. A.64ft3 B.36ft3 C.8ft3 D.16ft3 Which of these provides evidence from developmental blology of a shared evolutionary history?a. the dna sequences of the cytochrome c genes in chimpanzees and spider monkeys are over 90% identicalb. the skeletal structure of a leg of a horse and a flipper of a whale are very similarc. both snakes and dogs have pelvical bones even though they are vestigial structures of the snaked. both lobsters and frogs go through metamorphosis as a process in their life cycle Which of these may be a matter of serious concern for an ENVIRONMENTALIST?A.commercial extraction of timber and other forest produce to meet urban demands B. increase in the population of tigers which is a threat to herbivorous animals C. involvement of more tribal people in the forest conservation than professionals D. exploitation of migrated labourers by contractors in a construction site Consider rolling two number cubes, each of which has its faces numberedfrom 1 to 6. The cubes will be rolled and the sum of the numbers landingface up will be recorded. Let the event E represent the event of rolling a sumof 5. How many outcomes are in the collection for event E? Why is Eve convinced that Adam cannot perceivebeauty?A Adam does not have the same appreciation ofbeauty in nature as Eve does, because to him itdoesn't serve a purpose.B Adam refuses to leave his shelter for fear of theoutside world, and Eve misinterprets this as alack of appreciation of beauty.C Adam does not tell her that she is beautiful, eventhough she knows she is; ironically, he does toobut is too shy to tell her.D Adam does not talk much about the Garden, andEve misinterprets this as a lack of appreciation ofbeauty. how do we know that the men in the woods are soldiers A bullet with a mass of 4.5 g is moving with a speed of 300 m/s (with respect to the ground) when it collides with a rod with a mass of 3 kg and a length of L = 0.25 m. The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass which is located exactly halfway along the rod. The bullet imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts rotating together. What is the magnitude of the angular velocity (in rad/s) of the rotation (with respect to the ground) immediately after the collision? You may treat the bullet as a point particle. If you have downloaded this books source code from the companion Web site, you will find a file named Random.txt in the Chapter 05 folder. (The companion Web site is at www.pearsonhighered/gaddis.) This file contains a long list of random numbers. Copy the file to your hard drive and then write a program that opens the file, reads all the numbers from the file, and calculates the following: A) The number of numbers in the file B) The sum of all the numbers in the file (a running total) C) The average of all the numbers in the file The program should display the number of numbers found in the file, the sum of the numbers, and the average of the numbers. Prompts And Output Labels: Print each of the above quantities on a line by itself, preceding by the following (respective) labels: "Number of numbers: ", "Sum of the numbers: ", and "Average of the numbers: ".