What is the slope of the line represented by the equation y-6 = 5(x-2)?
O A. 6
O B. 5
O C. -5
O D. 2

Answer:

3

Step-by-step explanation:

Volume of sphere:

4/3 * pi * r^3

Surface Area of Sphere:

4 * pi * r^2

So if V = SA

4/3 * pi * r^3 = 4 * pi * r^2

4/3 * pi * r^3 = 4 * pi * r^2

1/3 * r^3 = r^2

1/3 * r = 1

r = 3

Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

V = (4/3)πR³

The surface area of the sphere is given by the formula,

Surface area = 4πR²

Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,

(4/3)πR³ = 4πR²

R³/3 = R²

R = 3

Hence, the radius of the ball is equal to 3 units.

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Answer:

105

Step-by-step explanation:

l is parallel m so angle 3+angle 6=180

Answer:

4/200 is the answer

Step-by-step explanation:

hope this will help you mark me as brinalist friend please

The amount paid for the 5 pound of almond by Nachelle is $27.75.

Let 'p' be the number of pounds of almonds purchased by Nachelle.

Let 'c' be the total cost paid.

The cost of per pound of the almonds is $6.50 per pound.

The amount of the coupon is $4.75.

Thus, the equation will be ;

c = 6.50p - 4.75   ......equation.

For number of pounds p = 5.

c = 6.50×5 - 4.75

c = $27.75

Thus, the amount paid for the 5 pound of almond by Nachelle is $27.75.

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Answer:

B. Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Step-by-step explanation:

I just did it, and thankfully, all was well! :) :) :)

Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation. Rotation, translation and reflection produce congruent images.

Rotating the vertices 180 degrees gives  (-1, –2), (-1, –4), (-2, –3).

Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

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Answer:

x= -7

Step-by-step explanation:

f(x) = -5(x+7)

0 = -5x -35

5x = -35

equals to x= -7

Note: Consider the given equation is [tex]2(a+b)=8.1[/tex] instated of [tex]2(a+b)-8.1[/tex].

Given:

The expression [tex]2(a+b)=8.1[/tex] for certain values of a and b.

To find:

The value of [tex]3(a+b)[/tex] for the same value of a and b.

Solution:

We have,

[tex]2(a+b)=8.1[/tex]

Divide both sides by 2.

[tex](a+b)=\dfrac{8.1}{2}[/tex]

[tex](a+b)=4.05[/tex]

Multiply both sides by 3.

[tex]3(a+b)=3\times 4.05[/tex]

[tex]3(a+b)=12.15[/tex]

Therefore, the value of [tex]3(a+b)[/tex] is 12.15.

Answer:

12y² + 9y + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4y² + 5y + 2 + 8y² + 4y + 5

Step 2: Simplify

Answer:

12y² + 9y + 7

Step-by-step explanation:

4y² + 5y + 2 + 8y² + 4y + 5

Simplify :-

4y² + 5y + 2 + 8y² + 4y + 5

4y² + 8y² + 5y + 4y + 2 + 5

12y² + 9y + 7

Answer:

[tex]x=3\\y=2[/tex]

Step-by-step explanation:

[tex]3x+2y=13\\y=x-1[/tex]

Solve for [tex]y=x-1[/tex] for y:

[tex]y=x-1[/tex]

Substitute [tex]x-1[/tex] for y in [tex]3x+2y=13[/tex]:

[tex]3x+2y=13[/tex]

[tex]3x+2(x-1)=13\\[/tex]

[tex]5x-2=13[/tex]

[tex]5x=13+2[/tex]

[tex]5x=15[/tex]

[tex]x=15/5[/tex]

[tex]x=3[/tex]

Substitute 3 for x in [tex]y=x-1[/tex]:

[tex]y=x-1[/tex]

[tex]y=(3)-1[/tex]

[tex]y=2[/tex]

[tex]x=3[/tex] and [tex]y=2[/tex]

hope this helps...

Answer:

the answer is 3x2-10x+6=0

Answer:

true

Step-by-step explanation:

idek

Answer:

True

Step-by-step explanation:

If we say x-1=0

x=1

F(1)=(1)^3-7(1)^2+15(1)-9

=1-7+15-9

=-6-9+15

=0

So this proves that it's a factor by factor theorem

A factor must give 0 if it's substituted to the equation

Answer:

no solution

Step-by-step explanation:

Answer:

150 different committees can be formed

Step-by-step explanation:

We have 6 boys and 5 girls and we want to select 5 members

Out of these 5 members, two boys are selected

Since two boys are selected, we are left with three girls

So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls

Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;

nCr = n!/(n-r)!r!

With this, we have;

6C2 * 5C3

= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed

Answer:

Step-by-step explanation:

x - y = 30

Substitute 15 for y.

x - (15) = 30

Add 15 to both sides.

x = 45

Answer:

None of the above

Step-by-step explanation:

Distance is the difference between two positions. That is x1- x2  Since both numbers were negative, you would want the absolute value of one plus the other, because subtracting a negative results in a positive. For this example the distance would look more like this:

| -4.7 - ( -3.9 ) | = .8

Answer:

Step-by-step explanation:

1) Slope of the given line = -3

slope of the perpendicular line = 1/3

y - 0 = 1/3(x-9)

y = 1/3x - 3

2) slope of the parallel line = -3

y - 0 = -3(x-9)

y = -3x + 27

Answer:

1). y = 1/3x - 3       2).y = -3x + 27

Step-by-step explanation:

1). y = 1/3x + b

0 = 1/3(9) + b

0 = 3 + b

-3 = b

y = 1/3x - 3

2)/ y = -3x + b

0 = -3(9) + b

0 = -27 + b

27 = b

y = -3x + 27

Answer:

-3.855

Step-by-step explanation:

Not sure if you need the weight of each screw! but you just subtract 80.955-84.81

Answer:

1

Step-by-step explanation:

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[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]

what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each

[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]

TOTAL NUMBER OF ARTICLE= 7

ARTICLES FOR 30K = 3

ARTICLES FOR 12.5K = 7-3= 4

[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]

Average cost of 7 articles

[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]

[tex] \red{AVERAGE = \frac{TOTAL \: COST}{ NUMBER \: OF\: ARTICLES }}[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex]Average \: cost \: of \: 7 \: articles - > \\ \frac{(3 \times 30k) + (12 .5k \times 4)}{7} \\ \frac{90k + 50k}{7} \\ \frac{140k}{7} \\ \blue {Average \: cost \: of \: 7 \: articles - >} \\ 20k[/tex]

Answer:

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

The slope is

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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Answer:

B. point B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B(-1, -3)

y = 3x

When x = -1,

y = 3(-1) = -3

Answer: B.

B

the number doubles by itself

Answer: conducting quantitative research

Step-by-step explanation:

Quantitative research refers to the collection and the analysis of numerical data. Quantitative research can be used in making predictions, and testing casual relationships.

Quantitative research methods emphasize the numerical analysis of data which can be collected through questionnaires, polls, surveys etc.

Answer:

[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]

Step-by-step explanation:

Given

[tex](\frac{-3}{4})^3[/tex]

Required

Evaluate

The expression can be represented as:

[tex](\frac{-3}{4})^3 = (\frac{-3}{4})*(\frac{-3}{4})*(\frac{-3}{4})[/tex]

So, we have:

[tex](\frac{-3}{4})^3 = \frac{-3*-3*-3}{4*4*4}[/tex]

[tex](\frac{-3}{4})^3 = \frac{-27}{64}[/tex]

Rewrite as:

[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]

Answer:

B  -27/64

Step-by-step explanation:

Answer:

this involves dividing numbers by making use of their place values or value

Step-by-step explanation:

hope this is helpful

Given:

The equation is:

[tex]24+12=\_\_\times (8+4)[/tex]

To find:

The missing value.

Solution:

We have,

[tex]24+12=\_\_\times (8+4)[/tex]           ...(i)

Taking left hand side, we get

[tex]24+12=3\times 8+3\times 4[/tex]

Taking 3 common, we get

[tex]24+12=3\times (8+4)[/tex]             ...(ii)

On comparing (i) and (ii), we get

Missing value = 3

Therefore, the missing value in the given equation is 3.

Answer:

Both the answers will be B

Answer:

Option C.

Step-by-step explanation:

For a given set of N elements:

{x₁, x₂, ..., xₙ}

The mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the variance is given by:

[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]

Then for our set:

{70, 80 ,75, 75, 80}

We have 5 elements, then N = 5

The first thing we need to find is the mean.

[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]

Then the variance will be:

[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]

The correct option is C, 14.