Solve fro X -3x + 4 = -8

Answer:

Slope = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Slope = [tex]\frac{2 - 12}{-8 - 4}[/tex]

Slope = [tex]\frac{-10}{-12}[/tex]

Slope = [tex]\frac{5}{6}[/tex]

Answer:  Slope = [tex]\frac{5}{6}[/tex]

Answer: approximately 102.8 times farther

Step-by-step explanation: If you divide the distance of Mercury to the Sun (3.6E7) from the distance of Pluto to the Sun (3.7E9) you get 102.777777. That is the approximate distance. Rounded you get 102.8

Answer:

Never

Step-by-step explanation:

Cuz cone has a round base

Answer:

never - a cone has a circular base

Step-by-step explanation:

Answer:

$1950

Step-by-step explanation:

Simple interest amount payable is given by

A=P(1+rt) where p is principal amount, A is final amount paid, t is time and r is rate of interest. For the first case

A=15000(1+0.03*4)=$16800

For second case

A=15000(1+0.05*5)=$18750

Difference will be 18750-16800=$1950

Answer: 398cm²

Step-by-step explanation:

Surface area of a Rectangular Prism: 2lw+2lh+2wh

l= 5cm

w= 9cm

h= 11cm

Area= (2x5x9)+(2x5x11)+(2x9x11)

      =398cm²

Answer:

a) 8x

b)2+12y

Step-by-step explanation:

Answer:

5X+3X & 8X For the first one

and 2+12y for the second one i believe those are correct let me know in the comments below

Step-by-step explanation:

hope this helps have a great day

Answer:

b=58

Step-by-step explanation:

b-12=46

b=46+12

b=58

Answer:

Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

  5b +6s = 187

  3b +2s = 87

We can eliminate the "s" variable by subtracting the first equation from 3 times the second:

  3(3b +2s) -(5b +6s) = 3(87) -(187)

  4b = 74 . . . . . collect terms

  b = 18.5 . . . . . divide by 4

Using this value in the second equation, we find ...

  3(18.5) +2s = 87

  2s = 31.5 . . . . . . . . subtract 55.5

  s = 15.75 . . . . . . . . divide by 2

The large box weighs 18.5 kg; the small box weighs 15.75 kg.

Answer: The amount of interest owed is $598.82.

Step-by-step explanation: 7.9% of $1,895 is 149.705. So, 149.705 x 4 years would be $598.82 for 4 years.

Final answer:

The total interest owed on a $1,895 loan at a 7.9% interest rate over 4 years is calculated using the formula for simple interest, resulting in a total interest amount of $598.43.

Explanation:

To find the amount of interest owed on a $1,895 loan for 4 years at a 7.9% interest rate, you can use the formula for calculating simple interest, which is Interest = Principal × Rate × Time. The principal (P) is $1,895, the rate (r) is 7.9% or 0.079 when expressed as a decimal, and the time (t) is 4 years.

So the calculation would be:
Interest = $1,895 × 0.079 × 4

Let's perform the calculation:

Interest = $1,895 × 0.079 × 4 = $598.43

The total interest owed on the loan after 4 years would be $598.43.

[tex]\frac{9\pi }{5}[/tex] radians is equal to [tex]324[/tex]° .

Step-by-step explanation:

Degrees are a unit of angle measure. A full circle is divided into 360 degrees. For example, a right angle is 90 degrees. A degree has the symbol ° and so ninety degrees would written 90°. Another unit of angle measure is the radian.

The radian is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.

We know that 1 radian = 180°/[tex]\pi[/tex] . So [tex]\frac{9\pi }{5}[/tex] radians is equal to :

⇒ [tex]\frac{9\pi }{5}(\frac{180}{\pi } )[/tex]

⇒ [tex]\frac{9(180) }{5}[/tex]

⇒ [tex]9(36)[/tex]

⇒ [tex]324[/tex]°

Therefore , [tex]\frac{9\pi }{5}[/tex] radians is equal to [tex]324[/tex]° .

To convert 9pi/5 radians to degrees, multiply by the conversion factor of 180°/π, resulting in 324 degrees.

To convert the angle 0 = 9pi/5 radians to degrees, we need to use the relationship between radians and degrees. Recall that 360° = 2π radians. Consequently, to convert radians to degrees, we can multiply by a conversion factor of 180°/π. Using this conversion factor, the computed angle in degrees is:

9π/5 radians × (180°/π) = 9/5 × 180° = 9 × 36° = 324°

Therefore, the angle of 9π/5 radians is equivalent to 324 degrees.

Answer:

A(sector) = (1 - 1/9)πr² = (17/2)π

(8/9)r² = 17/2

r = √((17/2)(9/8)) = (1/4)√153

= (3/4)√17

A(circle) = π((3/4)√17)² = 17(9/16)π

= (153/16)π

Answer:

900

Step-by-step explanation:

5 * 180

(5 * 100) + (5 * 80) + (5 * 0)

500 + 400 + 0

900

Answer:  900

Answer:

12.58

Step-by-step explanation:

Answer:

3.42

Step-by-step explanation:

OWN

23-20.42=3.42

GET RID OF

2.46+7.96=10.42

+10(save)

20.42

Answer:

Option C.

Step-by-step explanation:

Dilation of a line:

If center of dilation lies on the line, then the line remains same.

If center of dilation does not lies on the line, then the dilated line is parallel to the original time.

The given equation of line is

[tex]y=5x-10[/tex]

The line will remain same if center of dilation lies on this line.

For x=0,

[tex]y=5(0)-10=-10\neq 10[/tex]

It means (0,0) does not lies on given line.

For x=-5,

[tex]y=5(-5)-10=-35\neq 35[/tex]

It means (-5,35) does not lies on given line.

For x=1,

[tex]y=5(1)-10=-5[/tex]

It means (1,-5) lies on given line.

For x=2,

[tex]y=5(2)-10=0\neq 20[/tex]

It means (2,20) does not lies on given line.

Center of dilation (1,-5) could be used to support Carl's claim.

Therefore, the correct option is C.

Answer:

80

Step-by-step explanation:

Simply radical 16 which will give you 4, then multiply 4 by 20 which equals 80

Answer

34.5 inches

Step-by-step explanation:

The volume of the ball is 24,400 cm³

Step-by-step explanation:

Volume of the ball = 4/3 πr³

                               = 4/3 × 3.14 × (18)³

                               = 24,416.64 cm³ ≈ 24,400 cm³ (nearest hundredth)

To solve this question, first you would add 86 to 42 which gets you 128. Then, you should divide 128 by 2 which gets you to 64, which is the greatest number of packages you can sell.

Answer:

the REAL answer would be 2

Step-by-step explanation:

Answer:

[tex]SA=54\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The surface area of the cone is given by the formula

[tex]SA=\pi r^{2}+\pi rl[/tex]

where

r is the radius of the base

l is the slant height

we have

[tex]r=3\ units\\l=15\ units[/tex]

substitute

[tex]SA=\pi (3)^{2}+\pi (3)(15)[/tex]

[tex]SA=54\pi\ units^2[/tex]

Answer:

[tex]\sqrt{90} =9.48683298051[/tex]

Step-by-step explanation:

First, mulitply the numbers

[tex]5*18=90[/tex]

Square root the last result

[tex]\sqrt{90} = 9.48683298051[/tex]

Answer:

C) Going from A to C to D and it is shorter by 3 miles.

Step-by-step explanation:

Angles  

AB is 6 miles

BD is _12__ miles

AC is 5 miles

CD is 10 miles

First you need to find BD, so AB times CD. 6(10) = 60. then divide 60 with AC. 60/5 = 12. So  BD = 12.  

Now add  

AB and BD,  

{ 6+ 12 = 18} ABD = 18

Now add  

AC and CD

{ 5 + 10 = 15 } ACD = 15

18 - 15 = 3  

So ACD is 3 miles shorter then ABD.

Got right on the test

The shortest route is to take segment AD which is 8 miles long.

To determine the shortest route, we need to find the length of segment AD and compare it to the combined length of segments AC and CD. Since segment AD bisects LA, we can use the properties of a line segment bisector to find its length.

Since segment AD bisects LA, we can say that AC = CD

Therefore, the shortest route is to take segment AD, which is 8 miles long, since it is equal to the combined length of segments AC and CD.

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Answer:

D) Each additional day is associated with an additional 17.5 grams of mass.

Step-by-step explanation:

Slope = 17.5

= change in mass/change in day

Which is 17.5 g increase in 1 day

Answer:

its d!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Any ellipse has the following equ

ation:

[tex] \frac{ {x}^{2} }{ {a}^{2} } + \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]

where

(as in the picture)

So it should be like:

[tex] \frac{ {x}^{2} }{ { (\frac{6}{2} )}^{2} } + \frac{ {y}^{2} }{ {( \frac{4}{2} )}^{2} } = 1 \\ \frac{ {x}^{2} }{ 9} + \frac{ {y}^{2} }{ 4 } = 1[/tex]

Since it should be moved to the right and up, the answer would be:

[tex]\frac{ {(x - 5)}^{2} }{ 9} + \frac{ {(y - 1)}^{2} }{ 4 } = 1[/tex]

Option D. (x - 5)²/9 + ( y - 1 )²/4 = 1

An ellipse has the following equation:

x²/a² + y²/ b² = 1

where

2b = vertical axis length

2a = horizontal axis length

So it should be like:

x²/(6÷2)² + y²/ (4÷2)² = 1

x²/9 + y²/4 = 1

Since it should be moved to the right and up, the answer would be:

(x - 5)²/9 + ( y - 1 )²/4 = 1

Please check the attached diagram for more details.

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Answer:

No, not a solution

Step-by-step explanation:

Step 1:  Check if solution

y = 3x + 5

-1 = 3(4) + 5

-1 = 12 + 5

-1 = 17

DOES NOT EQUAL

Answer: No, not a solution

Two possible factorizations for the given sum are:

-5x - 15 = 1*(5x + 15)

-5x - 15 = 5*(-x - 3)

For a given sum like the one we have:

a + b

A factorization is something like:

a + b = k*(j + l), where k is a common factor between a and b.

In this case, our sum is: -5x - 15

One possible factorization is if we take the negative sign as the common factor we get:

-5x - 15 = 1*(5x + 15)

Another possible factorization is if we take 5 as the common factor:

-5x - 15 = 5*(-x - 3)

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Answer:

(3, -2) or (3, 2)

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

Part A is Answer C

C=2pi * r

D= 2r

C= 2 * 3.14 * 31.5

C= 197.82

__________________________

Part B is 3115.67 sq cm

A = 3.14 * r*r

A= 3.14 x 31.5x31.5

A=3115.665

Rounded: 3115.67

The circumference of the circle is C = 197.82 cm

The area of the circle is A = 3,115.67 cm²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the diameter of the circle be d = 63 cm

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle and π is the mathematical constant pi, approximately equal to 3.14159.

C = π(63)

C = 197.92 cm

The area of a circle is given by the formula

A = πr²

where r is the radius of the circle. Since we are given the diameter, we can find the radius by dividing the diameter by 2:

r = d/2

r = 63/2

r = 31.5 cm

Substituting the radius r = 31.5 cm into the formula for the area, we get:

A = 3.14159 x 31.5²

A = 3.14159 x 992.25

A = 3,117.15 cm²

Hence , the area of the circle is 3,117.15 cm²

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Answer:

780 people

Step-by-step explanation:

65% of 1,200 is 780

Answer:

780

Step-by-step explanation:

To find the % of something simply convert 65% to a decimal > .65 then 1,200*.65=780

Answer:

Step-by-step explanation:

Answer: 49.8 is the answer

Step-by-step explanation: