Mathematics College

A scientific journal recently reported that there are currently 2,400 black rhinos in the world. The population of black rhinos is declining at a rate of 10% each year. Which of the following graphs represents the population of black rhinos, y, after x years?

Answers

Answer 1

Answer: the answer is B

Step-by-step explanation:

Answer 2

Answer:

The answer would be B

Step-by-step explanation:

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Related Questions

What is the period of y = 3cot(4x - 3pi)

Answers

4x = 2π when x = π/2

The period is π/2.

The period of y = 3cot(4x - 3pi) is π/2 units.

The period of the function y = 3cot(4x - 3π) is calculated as the reciprocal of the absolute value of the parameter in front of x.

To find the period, identify the coefficient of x, which is 4 in this case. The period is then given by 2π/|4| = π/2.

Therefore, the period of the given function y = 3cot(4x - 3π) is π/2 units.

Latifah makes $12 per hour. She works 18 hours per week. She calculates that in 4 weeks, she will earn $864. If her hourly rate and weekly hours are rounded to the nearest ten, which amount represents an estimate of the amount she will make over 4 weeks? Is her original calculation reasonable?

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here is the steps to figure it out with the answer: 
she makes $216 per week. If her hourly rate and weekly hours are rounded to the nearest tenth then it would make her weekly pay $200. Her hourly pay is now $10 and her weekly hours are 20. Now multiply the 20 (weekly hours) by 4 (which would be 4 weeks) 20x4= 80. So 80 hours in 4 weeks. Now her hourly pay is $12 rounded to the nearest tenth = $10 per hour. SOOO the $10 multiplied with the 80= $800 in 4 weeks. 

Answer and step-by-step explanation:

Rounding her hourly rate to the nearest ten, we get $10.  

Rounding her number of hours to the nearest ten, we get 20.

This gives us an estimate of 10(20)(4) = $800

Her original calculation is reasonable; it is higher because the actual hourly rate is larger than the estimate, so her amount of pay should be higher than the estimate.

Solve for Y please!!!

Answers

From the markings and lines, we can tell this is an equilateral triangle. Since it is an equilateral triangle, we know that each angle is 60°.
Using this information, we can make and solve an equation:
8y - 4 = 60°    (we know that it is equal to 60°, since it is an equilateral triangle)8y = 64°         (we added both sides by 4 to get the y's alone on one side)y = 8°              (we divide both sides by 8 to find out what just y is)-------------------------------------------------------------------------------------------------------------Answer:
So y is equal to 8°

Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to pointsdistance. the calculation is: distance=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√distance=(x2−x1)2+(y2−y1)2 you may declare additional variables. ex: for points (1.0, 2.0) and (1.0, 5.0), pointsdistance is 3.0.

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For this case what you should know is that the distance between two points can be thought of as a line. To find the length of this line, you can use the formula:
 d: √ [(x2 - x1) ^ 2 + (y2 - y1) ^ 2]
 Example,
 for points (1.0, 2.0) and (1.0, 5.0):
 d: √ [(1 - 1) ^ 2 + (5 - 2) ^ 2]
 d: 3.0
 Answer:
 the distance between point (x1, y1) and point (x2, y2) is:
 d: √ [(x2 - x1) ^ 2 + (y2 - y1) ^ 2]

Write an equation in slope- intercept form of the line through points S(-7,-6) and T(10,8)

Answers

Final answer:

The slope-intercept form of the line passing through points S(-7,-6) and T(10,8) is calculated by first determining the slope or 'rise over run' which is 14/17. Subsequently, the slope and point T(10,8) are used to find the y-intercept which is -8/17. Hence, the equation of the line is y = 14/17x - 8/17.

Explanation:

To create an equation in the slope-intercept form we first need to find the slope or rise over run given our two points S(-7,-6) and T(10,8). The formula to find the slope (m) = (y2 - y1) / (x2 - x1). By substituting the values into the formula we get (8-(-6)) / (10-(-7)) = 14/17, which is our slope (m).

Next, we use the slope (m) and one point, let's take T(10,8), in the equation y = mx + b to find the y-intercept (b). Substituting the known values into the equation gives us 8 = 14/17*10 + b. Solving for b gives us b = -8/17.

Therefore, the slope-intercept form of the line passing through the given points S(-7,-6) and T(10,8) is y = 14/17x - 8/17.

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Final answer:

To write the equation of a line in slope-intercept form, find the slope and y-intercept. For the points S(-7,-6) and T(10,8), the equation is y = (14/17)x + 70/17.

Explanation:

To write the equation of a line in slope-intercept form, we need to find the slope (m) and the y-intercept (b). The slope can be found using the formula:

m = (y2 - y1) / (x2 - x1)

After finding the slope, we can substitute it along with one of the given points into the slope-intercept form equation: y = mx + b, where y and x are the coordinates of any point on the line. Solving the equation will give us the value of the y-intercept.

So, for the given points S(-7,-6) and T(10,8),  

Find the slope: m = (8 - (-6)) / (10 - (-7)) = 14/17Substitute the slope and one point into the slope-intercept form equation: Solve for b: -6 = -98/17 + b, b = -6 + 98/17, b = 70/17Therefore, the equation in slope-intercept form is: y = (14/17)x + 70/17      

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Write2/3and3/4 as a pair of fractions with a common denominator

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The least common multiple of 3 and 4 is 12.

[tex] \dfrac{2}{3} \times \dfrac{4}{4} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12} [/tex]

[tex] \dfrac{3}{4} \times \dfrac{3}{3} = \dfrac{3 \times 3}{4 \times 3} = \dfrac{9}{12} [/tex]

Answer: 8/12 and 9/12, respectively.

Find the angles of a rhombus in which a diagonal length is equal to the length of a side.

Answers

We can draw the figure as shown in attachment.

Then you can see an equilateral triangle ABD.

So here angle A, B and D all will be 60 degrees.

So one of the angles of rhombus becomes 60°.

Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.

Finally,angles of rhombus are 60 ,120,60,120.

Which of the following are miscellaneous taxes? Gasoline tax License plate fees Hunting license fees Inheritance tax Marriage license fees

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ir Transportation Taxes; Biodiesel Fuel Taxes; Building Permit Taxes; Business Registration Fees; Capital Gains Taxes; Cigarette Taxes; Court Fines; Disposal Fees; Dog License Taxes; Drivers License Fees; Employer Health Insurance Mandate Tax; Employer Medicare Taxes; Employer Social Security ...

Its all five of them


Three​ golfers, Vijay,​ Ernie, and Phil​ , during five years had a total of 221 ​top-10 finishes. Ernie had 13 more​ top-10 finishes than Phil. Vijay had 16 more​ top-10 finishes than Phil. Determine the number of​ top-10 finishes for each golfer.

Answers

For this case what you must do first is to define the following variables:
 x: number of top-10 finishes for Vijay.
 y: number of top-10 finishes for Ernie.
 z: number of top-10 finishes for Phil.
 We write the following system of equations:
 x + y + z = 221
 y = 13 + z
 x = 16 + z
 Solving the system we have:
 Step 1:
 x + y + z = 221
 (13 + z) + (16 + z) + z = 221
 3z + 29 = 221
 z = (221-29) / (3)
 z = 64
 Step 2:
 y = 13 + z
 y = 13 + 64
 y = 77
 Step 3:
 x = 16 + z
 x = 16 + 64
 x = 80
 Answer:
 the number of top-10 finishes for each golfer is:
 Vijay: 80
 Ernie: 77
 Phil 64

Sam bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 38 cards left. How many cards did Sam start with?

Answers

Let x be the number of cards he had at first.

He bought 9 new cards:
x + 9

His dog ate half (Which means he also had half left)
0.5(x+9)

There are 38 cards left:
0.5(x+9) = 38
0.5x + 4.5 = 38
0.5x = 38 - 4.5
0.5x = 33.5
x = 33.5 ÷ 0.5 
x = 67

So Sam had 67 cards to start off with.

Note: You may want to write 0.5 as half (1/2) .. it is just clumsy to type that, so I kept it as decimal.

During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?

Answers

Sasha drank a total of 51⁄2 cups of water by converting the pints to cups and then adding the half cup she drank on the way home.

To calculate the total amount of water Sasha drank, we need to add the volume of water she drank during practice and the volume she drank on the way home. However, we first need to convert the measurements so that they are in the same unit.

There are 2 cups in a pint, so 21⁄2 pints of water is equivalent to 5 cups of water (since 2 pints = 4 cups and 1/2 pint = 1 cup). Adding the additional 1/2 cup she drank on the way home gives us:

5 cups (from 21⁄2 pints)+ 1/2 cup (drank on the way home)

5 + 1/2 = 51⁄2 cups in total

Therefore, Sasha drank a total of 51⁄2 cups of water.

what is the probability of obtaining six tails in a row when flipping a coin?

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tossing the coin it will either be heads or tails, so the chances of getting tails is 1/2, sample space is just 2 possible outcomes.

now, what is the probability of getting Tails AND Tails AND Tails AND Tails AND Tails AND Tails?

well, keep in mind that AND means "times" or the product, so, since the probability of getting tails once is 1/2, the probability of getting tails 6 times in a row is

[tex]\bf \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{64}\implies 0.015625\implies 1.5625\%[/tex]

Tamera earned an A on 5/8 of her spelling tests.Of those spelling tests,she earned a perfect score on 1/5 of them.
On what fraction of tamera's total spelling tests did she earn a perfect score?
If Tamera took 32 spelling test,on how many did she earn a perfect score?

Answers

To answer this, you would read what is being asked very carefully and then represent it using math. The first question asks what fraction of her total spelling test did she earn a perfect score. Going back to the part of the sentence that talks about a perfect score you will see that it says she earned a perfect score on 1/5 of them(referring to the Number of tests she earned an A on). The fraction of tests she earned an a on was five eights. This means that 1/5 of the 5/8 is how many she scored perfect on. Adding to that, 1/5 of the 5/8 of all 32 tests she took she scored a perfect score on. In math this is represented by 1/5 x 5/8 x 32. Cross cancel the 5s and make 32 a 4 and the 8 a 1, and then multiply all numerators across the top and all denominators across the bottom to get 4/1, or 4 perfect scores.

Answer:

1/8

4

Step-by-step explanation:

She got an A on 5/8 of all tests.

She got a perfect score on 1/5 of the 5/8.

1/5 * 5/8 = 5/40 = 1/8

She took a total of 32 tests.

1/8 * 32 = 4

Answer:

1/8

4

Is this the right Answer?

Answers

Check out the attached image. 

Figure 1 moves to figure 2 after the translation rule (x,y) ---> (x+1, y+2)

Figure 2 moves to figure 3 after the rotation 90 degrees clockwise around the origin

Figure 3 moves to figure 4 after the translation rule (x,y) ---> (x+2, y-3)

Figure 4 is in quadrant IV. The size does not change

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

Answer: Choice B) Quadrant IV; no

John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?

Answers

The distance  via the diagonal is calculated by the Pythagoras theorem:-

Diagonal = sqrt ( 500^2 + 800^2) =  943.4 feet.

Distance along 2 sides of rectangle = 500 + 800 = 1300 feet

So John walks 1300 - 943.4 = 356.6 feet more than Don.


The distance that John walk more than Don is 356.60 ft.

What is a rectangle?

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

Given that John is walking home with his younger brother and their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet.

Since John is walking on the sides, the lenght covered by John will be the sum of the sides.

Sum of the sides of the rectangle = 500 ft + 800 ft

Sum of the sides of the rectangle = 1300 ft

Further, Don is walkin on the diagonal, the lenght covered by Don will be the diagonal of the rectangle.

(Diagonal)² = (500 ft)² + (800 ft)²

(Diagonal)² = 250000 ft² + 640000 ft²

Diagonal²  = 890000 ft²

Diagonal  = 943.39811 ft

The distance that John walk more than Don is:

Distance = 1300 ft - 943.39811 ft = 356.60 ft

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Solve the equation on the interval (0,2pi )

2 Sin Θ cos Θ = -1

Answers

To solve the trigonometric equation 2sin(θ)cos(θ) = -1 on the interval (0,2π), use the double angle identity and find the solutions to be θ = π/4 and θ = 3π/4.

Solve the trigonometric equation:

2sin(θ)cos(θ) = -1

Use the double angle identity: sin(2θ) = 2sin(θ)cos(θ)

Substitute and solve to get sin(2θ) = -1

Find the solutions within the given interval (0,2π) which are θ = π/4 and θ = 3π/4.

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR? A) AB DE = CB FE B) m∠C = m∠F C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Answers

Given that m∠A=m∠D. The facts that would guarantee similarity of triangle ABC and triangle FDE is :
The ratio of corresponding sides are similar, that it:
AB/DE=CB/FE=CA/FD
also the corresponding angles should be equal. 
hence the answer is:
A] AB/DE=CB/FE and m∠C=m∠F

The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7 inches?

Answers

just use the formula v = pi.(r^2).h that gives v = 9pi.7 that gives approximately 197.92 cubic inches.

Answer with Step-by-step explanation:

The volume of cylinder is given by

V=πr²h

Where r is the radius and h is the height

The volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches.

50.265=π×2²×4

⇒ π=50.265/16

Now when r=3 inches and h=7 inches

V=π×3²×7

[tex]V=\dfrac{50.265}{16}\times 9\times 7\\ \\V=199.336[/tex]

Hence, volume of the cylinder when the radius is 3 inches and the height is 7 inches is:

199.336 cubic inches

The volume of a cones is 6 pie, if a cylinder has the same diameter and height as the cone what is it's volume?

Answers

[tex]\bf \begin{array}{llll} \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3} \end{array}\qquad \qquad\qquad \begin{array}{llll} \textit{volume of a cylinder}\\\\ V=\pi r^2 h\implies 3\left(\frac{\pi r^2 h}{3} \right) \end{array}[/tex]

now, notice, the volume of the cylinder is really about the same as the volume of a cone, just 3 times larger, assuming "h"eight and "r"adius for both is the same amount.

now, if we know the cone with that "h" and "r" has a volume of 6π, the cylinder is.... well, you already know.

What does the graph of f(x)=-(x-3)^2+11 look like

Answers

heres the graph for that, if thats what you needed. 

Answer:

opens downward with a vertex of (3,11)

Step-by-step explanation:

just took the test

Lacie is filling a bucket with water. Which is the best unit for Lacie to use to describe the amount of water in a full bucket? A. millimeters B. milliliters C. liters D. meters

Answers

C. Buckets are too large for milliliters and A and D are not units of liquid measure.
The answer is C hope this helps

A rectangular park is 5/6 miles wide and 1 5/7 miles long. What is the area of the park?

Please hepl me can't find answer from others!!!!

Answers

Wouldn't it just be:
5    x     12
6    x      7
60/42
or
10/7 
or
1 3/7

A retired couple invested $6000 in bonds at a simple interest rate of 5.1%. At the end of one year, how much interest did they receive on their investment? Please show your work.

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if the interest rate is being paid yearly the:
[tex] \frac{5.1}{100} \times 6000 \\ = 0.051 \times 6000 \\ = 306 \\ 306 + 6000 = 6306[/tex]
they have received $306

The retired couple received $306 in simple interest on their investment of $6000 at a rate of 5.1% for one year.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the simple interest earned by the retired couple on their investment of $6000 at a rate of 5.1% for one year

we can use the formula: I = P × r × t

where I is the simple interest,

P is the principal (the amount invested),

r is the interest rate (as a decimal), and

t is the time period (in years).

Plugging in the given values, we get:

I = 6000 × 0.051 × 1

I = 306

Therefore, the retired couple received $306 in simple interest on their investment of $6000 at a rate of 5.1% for one year.

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by definition, empirical is equal to

Answers

Its basically just the elements that makes up a compound element I believe

number of successful trials/ total number of trials

Step-by-step explanation:

Explain why 1/12+1/12+1/12 is the same as 1/4

Answers

1/12+1/12+1/12=3/12=1/4

Explanation of why 1/12+1/12+1/12 equals 1/4 through adding fractions with common denominators.

Adding fractions:

Convert all fractions to have a common denominator.

Add the numerators together.

Keep the denominator the same.

Therefore, 1/12 + 1/12 + 1/12 = 3/12 = 1/4.

Which expression is equivalent to(4+6i)^2

Answers

(4 + 6i)^2 = (4 + 6i)(4 + 6i)

Use the FOIL method

4(4) = 16

4(6i) = 24i

6i(4) = 24i

6i(6i) = 36i², or -36       (note, i² = -1)

24i  + 24i = 48i

 16 + 48i - 36  = 48i - 20

48i - 20  is your answer

hope this helps

the answer is -20+48i

1/4 of 24 on tape diagram

Answers

Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.Now, to find the value of each square: 24:4 = 6.Put the number 6 in each square, and you have found your result.1/4 of 24 is 6.

how to measure the length in meters of a poster. explain

Answers

yelloefwefwcwec ewfsdc dsx

So I was doing my math homework and I got stuck on this one... Can anyone please help

Answers

n + 5 cubed.
That would be (n+5)(n+5)(n+5), which is equal to n3 +125. Hope it helps! :)

a rectangular prism has a volume of 144 cm3. the base is a square with a length of 4 cm. what is the height of the prism

Answers

Answer:

9 cm

Step-by-step explanation:

The volume is given by the formula ...

V = LWH

Filling in the given numbers, you have ...

144 cm^3 = (4 cm)(4 cm)H

H = (144 cm^3)/(16 cm^2) = 9 cm

The height of the prism is 9 cm.

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