Find the slope of the line that passes through the two points given.
(-3, 1) and (-1,5)

Answer:

[tex]p = i - e[/tex]

Step-by-step explanation:

Given

[tex]i = income[/tex]

[tex]e = expenses[/tex]

Required

Determine the profit (p)

Profit (p) is the difference between income (i) and expenses (e)

.

Mathematically:

[tex]Profit = Income - Expenses[/tex]

i.e.

[tex]p = i -e[/tex]

Option D is correct.

Answer:

d

Step-by-step explanation:

Answer: 79 seconds.

Step-by-step explanation:1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft

lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=

=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second

789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer:

a) we get value of n: n=10.7 or n=1.2 when d=30

b) we get value of n: n=9.6 or n=2.3 when d=20

Step-by-step explanation:

a) solve for  n When  do= 30

Put d= 30 in the given equation:

[tex]d = n^2-12n + 43[/tex]

[tex]30=n^2-12n+43\\n^2-12n+43-30=0\\n^2-12n+13=0\\[/tex]

Now, we will find value of n by using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=1, b=-12 and c=13

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(13)}}{2(1)}\\n=\frac{12\pm\sqrt{144-52}}{2}\\n=\frac{12\pm\sqrt{92}}{2}\\n=\frac{12\pm9.59}{2}\\n=\frac{12+9.59}{2} , n=\frac{12-9.59}{2}\\n=10.7 , n=1.2\\[/tex]

So, we get value of n: n=10.7 or n=1.2

b) solve for n  when  d=20

[tex]d=n^2-12n+43\\20=n^2-12n+43\\n^2-12n+43-20=0\\n^2-12n+23=0\\[/tex]

Now, we will find value of n by using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=1, b=-12 and c=23

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(23)}}{2(1)}\\n=\frac{12\pm\sqrt{144-92}}{2}\\n=\frac{12\pm\sqrt{52}}{2}\\n=\frac{12\pm7.21}{2}\\n=\frac{12+7.21}{2} , n=\frac{12-7.21}{2}\\n=9.6 , n=2.3\\[/tex]

So, we get value of n: n=9.6 or n=2.3

Answer:

A) 0.1339

B) 0.8078

Step-by-step explanation:

The Poisson Distribution formula is given by;

P(x; μ) = (e^(-μ) × (μ^(x))/x!

We are given;

Variance = 0.5 per month

Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month

A) We want to find the probability that 4 typhoons will hit US in a year.

Thus, x = 4

But since it's for a year, then μ = 0.5 × 12 = 6

So;

P(x = 4) = (e^(-6) × (6^(4))/4!

P(x = 4) = 0.00247875 × 1296/24

P(X = 4) = 0.1339

B) probability that at least 2 typhoons will hit US in a given half-year is;

P(X ≥ 2) = 1 - P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

In a half given year, μ = 0.5 × 6 = 3

P(X = 0) = (e^(-3) × (6^(0))/0!

P(X = 0) = 0.0498

P(X = 1) = (e^(-3) × (6^(1))/1!

P(X = 1) = 0.1494

P(X < 2) = 0.0498 + 0.1494

P(X < 2) = 0.1922

P(X ≥ 2) = 1 - 0.1922

P(X ≥ 2) = 0.8078

Answer:

21

Step-by-step explanation:

I am 90% sure but tell me if i'm wrong

Answer:

1/8

Step-by-step explanation:

7/12= 14/24                                    14/24 + 7/24= 21/24                    

21/24= 7/8           1-7/8= 1/8

The fraction of the total number of puzzle pieces has not been used is 1/8.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces.

The fraction of the total number of puzzle pieces has not been used is calculated as,

7/12= 14/24      

21/24= 7/8        

1-7/8= 1/8

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Answer:

360

Step-by-step explanation:

Six letters in twelve with a repeated e would be 6! ÷ 2

Answer:

The equation in slope-intercept form is y = 8/5x-4.

I hope this helps! Have a nice day!!

Answer:

Step-by-step explanation:

Formula to be used,

A = [tex]P(1+\frac{r}{n})^{nt}[/tex]

Here, A = Final amount

P = Principal amount

r = rate of interest

n = Number of compounding (In a year)

t = Duration of investment (In years)

Question (5)

P = $4250

r = 0.015

n = 4

t = 3 years

A = [tex]4250(1+\frac{0.015}{4})^{4\times 3}[/tex]

A = [tex]4250(1.00375)^{12}[/tex]

A = $4445.24

Part (C)

1). P = $6000

   r = 0.03

   n = 2

   t = 10 years

  A = [tex]6000(1+\frac{0.03}{2})^{2\times 10}[/tex]

      = [tex]6000(1.015)^{20}[/tex]

      = $8081.13

2). P = $9000

    r = 0.05

    n = 2

    t = 8 years

    A = [tex]9000(1+\frac{0.05}{2})^{2\times 8}[/tex]

        = [tex]9000(1.025)^{16}[/tex]

        = $13360.55

Answer:

quadrilateral

Step-by-step explanation:

A quadrilateral that has two pairs of parallel sides.

Answer:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Step-by-step explanation:

Given

[tex]0, 8, 9, 6, 5, 7, 2, 4, 3, 1, 11[/tex]

Required

Determine the mode

Though, not necessary; it is a good practice to order the given data either in ascending or descending order.

In ascending order, the ordered data are:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Mode implies that: the data that has the highest number of occurrence.

In the given data, each data has a frequency of 1.

Hence, the mode is:

[tex]0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11[/tex]

Answer:

sqrt(A/pi), -sqrt(A/pi)

Step-by-step explanation:

A=pi*r^2

r^2=A/pi

r=sqrt(A/pi), -sqrt(A/pi)

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

Answer:

b?

Step-by-step explanation:

b= v16.4

Answer:

Step-by-step explanation:

From the diagram, we can se that line l is parallel to m. This means that according to geometry, m<7 and m<9 are located on the same position on line n. Hence m<7 = m<9 (corresponding angle)

Given

m<7 = 9x+ 5

m<9 = x+37

Equaling both

9x + 5 = x+ 37

9x - x = 37-5

8x = 32

x = 32/8

x = 4

Hence the value of x is 4

Answer:

Step-by-step explanation:

Hey if you give me your email i ca email you the aswer it wot let me link a photo lol

Answer:

The alligator is 60 Inches long.

Step-by-step explanation:

5 feet is 60 inches.

hope it helps!

Answer:

60 inches

Step-by-step explanation:

There are 12 inches in 1 foot, therefore the ratio of inches to feet is 12:1.

If the alligator is 5 feet than the amount of inches increase.

In order to find how long the alligator is in inches, multiply 5 by 12

5 x 12 = 60

Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Answer:I am pretty sure the answer is

C. "They are perpendicular to each other."

Step-by-step explanation:

For a shape to be reflected, it must be reflected across a line.

The true statement about the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other

Given that:

When the shape is reflected across the x-axis, we have the following perpendicular and congruent lines

Hence, the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other

Read more about reflection at:

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Step-by-step explanation:

Triangles RQP and RBC are congruent.

Letters R and P are the 1st and 3rd letters in RQP.

Letters R and C are the 1st and 3rd letters in RBC.

Hence line RP = line RC = line CR (D).

D) CR

ΔRQP ≅ ΔRBC

They are congruent so if you highlight the line PR and find the similar one,

ΔRQP ≅ ΔRBC

The line would be line CR.

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: [tex]\pi[/tex] × r² × h

Volume of cylindrical tank = [tex]\pi[/tex] × 3² × 8

                                           = 72[tex]\pi[/tex]

                                           = 226 cubed foot (rounded to 3 s.f.)

Answer:

60

Step-by-step explanation:

The volume of the rectangular prism is V = 64 units³

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the volume of the rectangular prism be represented as V

Now , the height of the prism is H = 4 units

The length and width of the prism is 1 and 16 units respectively

So , the base area of the prism B = 16 units²

Now , Volume of Prism = B x h

On simplifying , we get

The volume of rectangular prism V = 16 x 4

The volume of rectangular prism V = 64 units³

Hence , the volume of the rectangular prism is 64 units³

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The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

[tex]\frac{5}{7}[/tex]  -  5 is the numerator and 7 is the denominator

5/7 of 154 cm

154 cm / 7 = 22

22 x 5 = 110 cm

Answer:

you should use desmos graphing. When you get there in the top left corner there are 3 lines. press that and scroll down. when you see sarcastic linear regression press that and put the coordinates points I hope this helped :))

Answer:   Slope = -1.000/2.000 = -0.500

 x-intercept = 0/1 = 0.00000

 y-intercept = 0/2 = 0.00000

Step-by-step explanation:

Answer:

I had this question and i got it right it is the measure is four

Step-by-step explanation:

Answer: x = -2/3

[tex]\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3[/tex]

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

26×100=2600÷65=40

40%×65=26

Answer:

the phone with me and I will be in the future of our games in call of duty Black ops game clip is not available for remote playback of the phone with me know if I can be used for

Step-by-step explanation:

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