Write in point-slope form an equation of the line that passes through the point
(3,−5) with slope -4

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]

Answer:

33/48, 34/48, 35/48

Step-by-step explanation:

2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3

Answer:

Step-by-step explanation:

hello : an equation is :

x²+y²=64

Answer:

0.8192

Step-by-step explanation:

The pattern is dividing by 2.5 each time since:

200/80=2.5

80/32=2.5

So now:

1st term: 200

2nd term: 200/2.5=80

3rd term: 80/2.5=32

4th term: 32/2.5=12.8

5th term: 12.8/2.5=5.12

6th term: 5.12/2.5=2.048

7th term: 2.048/2.5=0.8192

Answer:

Height of pole =

31 feet

Step-by-step explanation:

Here, we are to calculate the height of the pole.

Please check the attachment for diagrammatic representation of the question.

We use trigonometric ratio to calculate the length AC first.

The ratio to use here is Tan

This is because we have the adjacent and we want to calculate the opposite

Mathematically;

Tan of an angle = length of opposite/length of adjacent

Tan 40 = AC/30

AC = 30Tan 40 = 25.17 which is approximately 25 feet

The height of the pole is the length CE + AC

CE = BD = 6 ft since they are opposite sides of rectangle BCDE

The height of the pole is thus 6 + 25 = 31 feet approximately

Answer:

x = 140 degrees

Step-by-step explanation:

Lets say that the other part of the circle we don't know is y. Because the chords are equal distance, that means that the amount of circle the cut off is equal so y also equals 100.

And y + x + 100 + 20 = 360

100 + x + 100 + 20 =360

x + 220 = 360 Subtract 220 from both sides.

x = 140

Answer:

294

Step-by-step explanation:

7/3=2.33333333333

126*2.33333333333=294

{\_/}

( •-•)

\>$

Bunny holding cash and hope this helps

Answer:

$5,000

Step-by-step explanation:

First, you have to determine the total amount of money she needs to save to cover the cost of the tuition by subtracting the financial aid, the scholarship and the amount her parents plan to contribute from the total cost of the tuition:

40,000-(40,000/4)-(40,000*25%)-5,000

40,000-10,000-10,000-5,000

40,000-25,000= 15,000

She needs to save a total amount of 15,000. Then, you need to divide this amount by 3:

15,000/3= $5,000

Julieta will need to save $5,000 each year over the next 3 years before her first year.

Answer:

[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]

Step-by-step explanation:

The distance between foci with respect to origin is determined by mean of the Pythagorean Theorem:

[tex]2\cdot c = \sqrt{(0-0)^{2}+[24-(-24)]^{2}}[/tex]

[tex]2\cdot c = 48[/tex]

[tex]c = 24[/tex]

The distance between origin and any of the horizontal co-vertices is:

[tex]a = \sqrt{[10-(-10)]^{2}+(0-0)^{2}}[/tex]

[tex]a = 20[/tex]

Now, the distance between origin and any of the vertical co-vertices is determined by the following Pythagorean relationship:

[tex]c^{2} = b^{2} - a^{2}[/tex]

[tex]b^{2} = a^{2} + c^{2}[/tex]

[tex]b = \sqrt{a^{2}+c^{2}}[/tex]

[tex]b = \sqrt{20^{2}+ 24^{2}}[/tex]

[tex]b = 4\sqrt{61}[/tex]

Lastly, the equation of the ellipse in standard form is:

[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]

Answer:

x^2/100+y^2/676=1

Step-by-step explanation:

Answer:

5 Inches.

Step-by-step explanation:

Given the volume of a sphere[tex]=\dfrac{500\pi}{3} $ cubic inches[/tex]

We want to determine the radius of the sphere.

Volume of a Sphere [tex]=\dfrac{4\pi r^3}{3}[/tex]

Therefore:

[tex]\dfrac{4\pi r^3}{3}=\dfrac{500\pi}{3} \\$Multiply both sides by$ \dfrac{3}{\pi} \\4 r^3=500\\$Divide both sides by 4\\r^3=125\\r^3=5^3\\r=5$ inches[/tex]

The radius of the sphere is 5 Inches.

Answer:

5

Step-by-step explanation:

Answer:

4h> 14\ cm^{2}

Step-by-step explanation:

Let

b -----> the base of parallelogram

h ----> the height of parallelogram

we know that

The area of parallelogram is equal to

so

substitute the value of b

---->inequality that represents all possible values of h

Answer:

D: 4h> 14

Step-by-step explanation:

Answer:

1152 in ^ 3

Step-by-step explanation:

We know that the width is:

w = 4 in

They also tell us that the length is three times the width, therefore:

l = 3 * w

l = 3 * 4 = 12

l = 12 in

and as for the height, they tell us that it is twice the length, so:

h = 2 * l

h = 2 * 12 = 24

h = 24 in

now the volume is w * l * h, replacing:

v = 4 * 12 * 24

v = 1152

volume equals 1152 in ^ 3

Answer:48

Step-by-step explanation:

Answer:

48 pecies

Step-by-step explanation:

Odun's share=80x 6/10

Odun's share=48

Hope you understand

Answer:

a = 950

s = 550

Step-by-step explanation:

Let a = the number of adult tickets purchased.

Let s = the number of student tickets purchased.

Therefore,

[tex]a + s = 1500 \implies \: s = 1500 - a...(1) \\ 2a + 3.5s = 3825...(2) \\ plugging \: s = 1500 - a \: in \: equation \: (2) \\ 2a + 3.5(1500 - a) = 3825 \\ 2a + 5250 - 3.5a = 3825 \\ 5250 - 1.5a = 3825 \\ 5250 - 3825 = 1.5a \\ 1425 = 1.5a \\ a = \frac{1425}{1.5} \\ \huge \red{ \boxed{ a = 950}} \\\implies s = 1500 - 950 \\ \huge \purple{ \boxed{s = 550}}[/tex]

So,

Number of adult tickets sold = 950

Number of students tickets sold = 550

Answer:

y= -4x + 3

Step-by-step explanation:

Answer:

y = 4x + 6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer is C on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

270-36x

there are 5 years so x=5

270 + 36(5) = 270 + 180 = 450  

If it were 6 years than x = 6

270 + 36(6) = 270 + 216 = 486

Bike B:

360 + 20x

For option b x = 5

360 + 20(5) = 360 + 100 = 460

for option b it would be 6 years than x = 6

360 + 20(6) = 360 + 120 = 480

This cost function of purchasing a bike A

[tex]\to f1(x) = 270+ 36 x[/tex] ( The unit of x is a year)  

A cost function for purchasing bike B:

[tex]\to f2(x) = 360+20x \\\\if \ \ f1(x)<f2(x)\\\\ \therefore\\\\ \to 270+36x-360+20x\ \ \ (transpose)\\\\\to 16x= 90 \\\\\to x=\frac{90}{16}=5.625\\\\[/tex]

If Greg plans to keep the bike for 5 years, Bike A is the superior option. If Greg plans to keep the bike for 6 years, Bike B is the superior option.

Learn more:

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Answer:

9 units

Step-by-step explanation:

In a coordinate plane with point P( x , y) and Q(a,b ).

distance between these are points is given by equation

distance between PQ = [tex]\sqrt{(x-a)^2 + (y-b)^2}[/tex].

Coordinate of  subway stop = (7,3)

Coordinate of house = (4-5)

Therefore using the above the formula to calculate distance between

house and the subway stop is given by

distance = [tex]\sqrt{(7-4)^2 + (3-(-5)^2}\\\\=>\sqrt{(3)^2 + (3+5)^2}\\\\=>\sqrt{9 + (8)^2}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{73}\\\\=>8.544[/tex]

Therefore, distance between house and the subway stop is 8.544 units.

But it is given that distance should be to the nearest unit.

any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.

Thus, 8.544 units is equivalent to 9 units (in nearest unit)

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

30

Step-by-step explanation:

there are 5 outcomes for each card, and 6 for the die. 5x6 is 30. I hope this helps!

Answer:

She earns 5.5 dollars per hour at the library

Step-by-step explanation:

I am going to assume that the questions is "how much she earns per hour at the library?"

Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.

Later her grandma gave her 20 dollars and she has now 53 dollars.

Let's write the equation and solve it

Amount earned + Amount given by her grandma = 53

[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]

Thus, based on this information we would have that Kia earns 5.5 dollars per hour.

Answer:

343.77

Step-by-step explanation:

1 radian is about 57.2958 degrees

so 57 times 6 is about 343.77

Answer:

If a triangular prism and a cylinder have the same height and the same volume, then the area of bases must be equal.

=> Option A is correct

Step-by-step explanation:

Because they share the same formula to calculate V = Base area x Height

V and Height are same, then Base areas are same.

Hope this helps!

:)

If a triangular prism and a cylinder have the same height and the same volume, then their bases have the same area is true statement.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

If a triangular prism and a cylinder have the same height and the same volume, then their bases must have the same area.

This can be explained using the formula for the volume of a prism, which is equal to the area of the base times the height.

Since the height of both shapes is the same, the volume of the shapes is proportional to the area of their bases.

If the volume is the same for both shapes, then their bases must have the same area.

Therefore, their bases have the same area is the true statement among the given statements.

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Answer:

Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.

Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.

Step-by-step explanation:

Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.

Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.

Sending out emails to everyone at the org is not choosing them at random.

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Part A:

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

In this case,

If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.

However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.

Part B:

Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.

This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.

Additionally,

Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.

Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.

Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.

Thus,

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.

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Answer:

Multiplication Property of Equality

Step-by-step explanation:

Answer:

Division Property of Equality..

Step-by-step explanation:

Answer:

Rational. They have termination decimals, so the next digit can be predicted. Therefore, those numbers are rational.

Step-by-step explanation:

Answer:

im pretty sure  $460 idk

Step-by-step explanation:

Find an interest by using the formula  

I=P⋅i⋅t

, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this  

P = $2300, i = 10% and t = 2 years,

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i had this one