What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
VX
O y=*x+33
O y=-*x+36
O y = 4x - 16
O y = 4x + 16
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Answer:

x^2+7x+12

Step-by-step explanation:

(x+3) (x+4)

FOIL

first: x*x = x^2

outer: 4x

inner: 3x

last: 3*4 =12

Add them together

x^2 +4x+3x+12

x^2+7x+12

x^2 + 7x + 12

or A

Hope this helpsss

Answer:

A. 8.5

Step-by-step explanation:

is equivalent to 85 because

8.5 is in decimal.

remove the point from the middle and it will be 85 over 10.

Answer:

A

Step-by-step explanation:

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

[tex]I = \frac{P * R * T }{100}[/tex]

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9%  simple interest for 4 years is:

[tex]I = \frac{3000 * 9 * 4}{100}[/tex]

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

Answer:

9.8 inches

Step-by-step explanation:

Set up a proportion:

central angle / 360  = arc length / circumference

[tex]\frac{80}{360}[/tex] = [tex]\frac{x}{14\pi }[/tex]

360 divided by 14pi is about 8.2, so divide 80 by 8.2 to find x.

x = 9.8 in

Answer:

9.8 inches

Step-by-step explanation:

The formula for arc length is (θ/360)2πr

This is where θ represents the measure of the central angle in degrees,

and r represents the radius of the circle.

This said, we can plug our values in.

(80/360)2π7

Simplify.

(2/9)14/π

28/9π

9.7738438112

Round to nearest tenth.

9.8

Question:

Find the value of g(7) for the function below.

g(x)=7/8 x -1/2

A. 53/8

B. 49/8

C. 60/7

D. 45/8

Answer:

D. 45/8

Answer:

option 1

Step-by-step explanation:

y = 3x + 3   ie       3x -y +3 =0     a1= 3  , b1=-1  ,  c1=3

y = -2x + 3   ie      -2x -y+3 = 0    a2=-2 , b2=-1 , c2=3

on comparing the ratios ,

a1/a2 = 3/2

b1/b2 = -1/-1= 1/1 =1/1= 1

a1/a2 ≠ b1/b2

therefore the pair of linear equations will have exactly one solution

mark me as the brainliest...

Answer:

A

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

Answer:

169.59

Step-by-step explanation:

Solution,

Radius(r)=3

Height (h)=6

Volume of cylinder= pi r^2 h

= 3.14*(3)^2*6

= 3.14*9*6

=169.56 units^3

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

If sh starts reading at 3:25 and reads for 15 minutes, she is finished at 3:40. The hour hand is on the 3 and the minute hand is on the 8, so there is a difference of 25 minutes between the hour hand and the minute hand. Each 5-minute increment is 30 degrees (360 / 12) so 30 x 5 = 150 degrees. This is an obtuse angle. Not sure what kind of an answer you're looking for so I gave both the degree measure of the angle formed by the hour hand and the minute hand, and the classification of the angle.

Answer:

90 degrees, which is a right angle

Step-by-step explanation:

The time indicates when she starts reading is irrelevant. The only thing to notice is that she reeds for 15 minutes. Whenever you read for 15 minutes the angle that is formed by the hour and minute hands of the clock will always be the same, regardless of the starting time!

60 minutes comes down to 360 degrees.

1 minute = 60/60 and that comes down to 360/60 = 6 degrees.

15 minutes = 15 times 1 minute....

15 minutes comes down to 15* 6 = 90 degrees

90 degrees is a right angle

Answer:  Ro, 270°   and   Ro -90°

Step-by-step explanation:  If the vertex is at 5 on the y-axis at (0,5) and the transformation has moved the vertex to (5,0) it is now at +5 on the x-axis. This is a rotation around the origin, Rotation notation Ro.

This is fairly easy to visualize: like the hand of an analog clock moving from 12 o'clock to 3 o'clock.

In geometry, rotations are given in degrees, moving counter-clockwise. There are 360° in a circle.

Moving 3/4 of the way around the circle counterclockwise.  

Multiply(3/4)(360) =  270. This is a positive rotation, counter-clockwise

Clockwise, it is 1/4 of the circle, so Multiply (1/4)(360)= 90  But remember to add the negative sign because clockwise is considered a negative rotation.

Ro, -90°

The transformations that could have taken place are Ro, 270° and Ro -90°

The vertex of the triangle is given as: (0,5)

After transformation, the vertex of the image is given as: (5,0)

The transformation follows the rule:

[tex](x,y) \to (y,x)[/tex]

The above rule represent:

Hence, the true statements are Ro, 270° and Ro -90°

Read more about transformation at:

https://brainly.com/question/1548871

Answer:

Is 5 greater than 5 .01?

This is incorrect.

Step-by-step explanation:

This is false, that 1% makes 5 .01 greater than 5. Thats why 5.01 is greater than 5.

Answer:

5 is less than 5.01

Step-by-step explanation:

5.01 is greater than 5

Answer:

5520 population after 5 years

Step-by-step explanation

5000*1,02^5 = 5520

hope i could help <3

Answer: amplitude

Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.

The solution is Option B.

The amplitude represents half the distance between the maximum of a sine or cosine graph

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance between the maximum of a sine or cosine graph be A

Now , the maximum of sine graph is when θ = 90°

So , sin 90° = 1

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1

And , the maximum of cos graph is when θ = 360°

So , cos 360° = 1

Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

Hence , amplitude represents half the distance between the maximum of a sine or cosine graph

To learn more about trigonometric relations click :

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Answer:

A. y+4=f(x)

Step-by-step explanation:

if you were to make this a y= equation then you would have to move the 4 to the other side by subtracting 4 from both sides therefore making the value of f(x) - 4

you should try it out in a graphic calculator like Desmos, it's an online graphic calculator

Answer:

The answer is 657.63

explanation

cylinder surface area = 897.63

rectangular prism surface area = 240

897.63 - 240 = 657.63

I have not done surface area in a while so It might be slighty off, sorry

Answer:

proportional relationship is not represented by them

Step-by-step explanation:

Ratio a/b and c/d are said to be proportional if a/b = c/d.

_________________________________________________

ratio of yellow part and red part for specific shade of orange =

2 part yellow/ 3 parts red = 2/3

____________________________________________________

ratio of yellow part and red part used by Catie =

3 cups of  yellow/ 4 cups of   red = 3/4

______________________________________

we have two ratio 2/3 and 3/4

but 2/3 is not equal to 3/4

hence , proportional relationship is not represented by them.

Answer:

2(3x - 1)(x - 1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

e2021

Answer:

[tex]x=\frac{1}{4}h-\frac{1}{2} -3y[/tex]

Step-by-step explanation:

[tex]h = 4 ( x + 3y ) + 2[/tex]

[tex]h-2=4(x+3y)[/tex]

[tex]4(x+3y)=h-2[/tex]

[tex]x+3y=\frac{h-2}{4}[/tex]

[tex]x=\frac{h-2}{4}-3y[/tex]

Answer:

20.

Step-by-step explanation:

That would be 2 1/2 divided by 1/8

= 5/2 / 1/8

= 5/2 * 8

= 40/2

= 20.

Answer:

The given f(z) is analytic function

i)  δU/δx   = eˣ (cos y) = δV/δy    

ii)  δU/δy   = eˣ (-sin y) = -  δV/δx  

Hence the CR - equations are satisfied

Step-by-step explanation:

Explanation:-

Analytic function:-

A point at which an analytic function ceases to posses a derivative is

called a singular point of the function.Thus the necessary and sufficient condition for a complex function f(Z) = U+i V is analytic in a region R are

δU/δx = δV/δy     and δU/δy = -δV/δx    ( C R equations)

Given f(Z) = eˣ(cos y+ i sin y)

Let          U = eˣ(cos y)   ....(i)

and

              V = eˣ(sin y) ....(ii)

Differentiating equation(i) partially with respective to 'x'

             δU/δx   = eˣ (cos y)

Differentiating partially equation(i) with respective to 'y'

             δU/δy    = eˣ (-sin y)

Differentiating equation(ii) partially with respective to 'x'

             δV/δx    = eˣ (sin y)

Differentiating equation(ii) partially with respective to 'y'

             δV/δy    = eˣ (cos y)

Now

          δU/δx   = eˣ (cos y) = δV/δy    

i)            δU/δx = δV/δy  

           δU/δy   = eˣ (-sin y) = -  δV/δx    

ii)         δU/δy = -  δV/δx    

Hence the CR - equations are satisfied

There fore the given f(z) is analytic function

Answer:

i cannot answer your question accuratley because you did not provide enough information but i can show you how to solve your problem

Step-by-step explanation:

if you are provided with the amount of cups they sold multiply that number by $0.50. divide the product by 5 and you will get your answer

hope this helps :)

Answer:

A on ed2020

Step-by-step explanation:

Answer:

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

Step-by-step explanation:

There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

The solution is given below:-

(-2/3) (5²/₄)  Negative

(4⁵/₉) (4/5) Positive

(-6³/₄) (-7¹/₁₁) Positive

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The product is always negative when a negative integer is multiplied by a positive number. The result is always positive whether you multiply two negative or positive numbers.

The multiplication will be done as:-

(-2/3) x (5²/₄) = ( -44 / 12 ) Negative

(4⁵/₉) x (4/5) = ( 164 / 45 ) Positive

(-6³/₄) x  (-7¹/₁₁) = ( 2106 / 44 ) Positive

To know more about multiplication follow

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Answer:

100:64

Step-by-step explanation:

i don't know how i got it LOL

The ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Let we suppose that:

Then we get:

As per the given information:

The circumference of a circle B is 80% of the circumference of circle A, or:

[tex]2\pi s \: \rm units[/tex] = 80% of [tex]2\pi r \: \rm units[/tex]

or:

[tex]2\pi s = \dfrac{2\pi r}{100} \times 80\\\\s = 0.8r \: \rm units[/tex]

Also, we have:

The rato of the area of the circle A to the area of the circle B is:

[tex]Area(A): Area(B) = \dfrac{\pi r^2}{\pi s^2} = \left( \dfrac{r}{s}\right)^2[/tex]

since we've got [tex]s= 0.8r[/tex], therefore,

[tex]Area(A): Area(B)= \left( \dfrac{r}{s}\right)^2 = \left(\dfrac{r}{0.8r}\right)^2 = \dfrac{100}{64} \\\\Area(A): Area(B)=\dfrac{100}{64} = 100:64[/tex]

Thus, the ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

Learn more about ratio here:

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Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

Answer:

see below

Step-by-step explanation:

The total number of trees is

567+324+156+89+678 =1814

Percent fir = 567/1814 = .312568908=31.26 %

Percent pine = 324/1814 = .178610805=17.86%

Percent larch = 156/1814 =.085997795=8.60%

percent cedar = 89/1814 =.049062845=4.91%

Percent hemlock = 678/1814 = .373759647=37.38%

The total should be 100 %

31.26+17.86+8.60+4.91+37.38=100.01  ( rounding error because we rounded to the hundredths place)

Answer:

15A.)

1814 total trees

15B.)

Fir: 31.256890849%

Pine: 17.861080485%

Larch: 8.599779492%

Cedar: 4.906284454%

Hemlock: 37.375964718%

Step-by-step explanation:

15A.) For this first part, you would add all the trees together to get the total:

567+324+156+89+678 = ?

891+156+89+678 - Add 567 and 324 together.

1047+89+678 - Add 891 and 156 together.

1136+678 - Add 1136 and 678 together.

=1814 total trees

15B.) For this second part, you would divide each tree type (567, 324, 156, 89, 678) by the total trees (1814). To convert the decimal to a percent, you would move the decimal point to places to the right. Not sure how many decimal places you wanted for each percent, so I gave the full decimal for you to round as you please on your answer.

Fir: 567/1814 = 0.31256890849 = 31.256890849%

Pine: 324/1814 = 0.17861080485 = 17.861080485%

Larch: 156/1814 = 0.08599779492 = 8.599779492%

Cedar: 89/1814 = 0.04906284454 = 4.906284454%

Hemlock: 678/1814 = 0.37375964718 = 37.375964718%

Answer:

2

Step-by-step explanation:

1 +1=2

Answer:

2

Step-by-step explanation:

Answer: The area between the bases is about 126.5 square centimeters

Step-by-step explanation:The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area between the bases is about 126.5 square centimeters

Answer:

B, D, E

Step-by-step explanation:

Edg2020

Answer:

57

Step-by-step explanation:

Replace the variable with the said number

(8 x (2²))+(8 x 2)+9

Simplify

8 x 4 + 8 x 2 + 9

32 + 16 + 9

Solve

32 + 16 + 9 = 57

Answer:44

Step-by-step explanation:

Answer:

 = 972 pi  units ^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi  (9)^3

 = 972 pi  units ^3

Answer:

The missing is 7

7 x (6 + 5) - (7 x 6) + (7 x 5)

hope it helps!!!!! :]