According to the graph, what is the value of the constant in the equation
below?

A beam measuring 2 meters can support 172 kilograms

The variation is a direct variation.

So, we have:

w = kl

Where k is the constant of variation.

When l = 5, w = 430.

This means that:

430 = 5k

Divide both sides by 5

k = 86

So, we have:

w = 86l

When l = 2, we have:

w = 86 * 2

Evaluate

w = 172

Hence, a beam measuring 2 meters can support 172 kilograms

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Answer:

If I am not mistaking it should be -7.5

Step-by-step explanation:

Answer:

  b = -15/2

  y = -3x -15/2

Step-by-step explanation:

The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.

__

  y = mx + b . . . . . . . equation of a line with slope m and y-intercept b

  y -mx = b . . . . . . . . subtract mx from both sides

For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...

  b = -3/2 -(-3)(-2) = -3/2 -6

  b = -15/2 . . . . . the value of b for this line

__

Then the equation for the line is ...

  y = mx +b

  y = -3x -15/2

Answer:

$42 would be the correct answer.

Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

Answer:

8 minutes

Step-by-step explanation:

Jill jogs 3/4 of a mile in 1/10 hour.

⇒ 3/4 of a mile takes 6 minutes

For one mile :

1 mile she can run

8 mins

Answer:

x = [tex]\frac{2}{3}[/tex] , x = 1

Step-by-step explanation:

(x - [tex]\frac{5}{6}[/tex] )² = [tex]\frac{1}{36}[/tex] ( take square root of both sides )

x - [tex]\frac{5}{6}[/tex] = ± [tex]\sqrt{\frac{1}{36} }[/tex] = ± [tex]\frac{1}{6}[/tex] ( add [tex]\frac{5}{6}[/tex] to both sides )

x = [tex]\frac{5}{6}[/tex] ± [tex]\frac{1}{6}[/tex] , then

x = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

x = [tex]\frac{5}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{6}{6}[/tex] = 1

The break-even sales price per umbrella if sun cover manufactures the units is $120.99.

This can be done by using the formula:

Break even units = Total fixed cost / (Price - Variable cost)

8573 = 675921/(Price - 42.15)

8573(P - 42.15) = 675921

8573P - 361351.95 = 675921

8573P = 675921 + 361351.95

8573P = 1037273.4

P = 1037273.4/8574

P = $120.99

Therefore, the price is $120.99.

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Answer:

yes

Step-by-step explanation:

Yes.

The graph of y = 2x - 2 is a straight line sloping up to the right.

It passes the vertical line test, so it is a function.

The value of n in the mathematical statement is 0.64

The statement is given as:

n multiplied by -5/8 equals -0.4

Rewrite properly as:

n * -5/8 = -0.4

Multiply both sides by -1

n * 5/8 = 0.4

Multiply both sides by 8/5

n = 0.64

Hence, the value of n in the mathematical statement is 0.64

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The value of k based on the information given will be k = 2.

It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).

The slope of x will be:

= (4 - 0)/(0 + 4)

= 4/4

= 1

By using slope point form, y = kx + 4.

Substitute x = 2.

g(-2) = -2k + 4 = 0

2k = 4

k = 4/2 = 2

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Step-by-step explanation:

(2x + 3)(2x + 3)

4x² + 6x + 6x + 9

4x² + 12x + 9

Answer: rectangle

Step-by-step explanation:

The options imply the figure is a parallelogram. Furthermore, we can tell that not all the sides are congruent, so we can rule out the possibility that it is a rhombus or a square.

To determine if it is a rectangle, we can use the slope formula to determine if there is a pair of perpendicular sides. If this is the case, then this will be a parallelogram with a right angle, making it a rectangle.

[tex]m_{\overline{AB}}=\frac{1-0}{-4-(-3)}=-1\\m_{\overline{BC}}=\frac{4-1}{-1-(-4)}=1\\\therefore \overline{AB} \perp \overline{BC}[/tex]

So, the most specific classification is a rectangle

The number of acorns that each animal hid is 48

An equation is formed when two algebraic expressions are equated by an equal sign.

It is asked to calculate the number of acorns that each animal hid.

Total number of acorns hid  =  number of acorns hid per tree * number of trees    

Let   T be the number of trees chipmunk used

For chipmunk:    = 3*T

For squirrel:   = 4*(T-4)

 As both the animals hid same number of acorns.

    3T = 4(T-4)      

    3T = 4T - 16      

      16 = T

Therefore the chipmunk hid 16 * 3 = 48 acorns

and the squirrel hid 4(16-4) = 48 acorns.

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Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

5 blue, 4 red = 9 total

Probability (Blue, Blue)  = 5/9 x 5/9 = 25/81 = 0.30864

Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753

Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173

Fraction answer = 41/81

Decimal answer = 0.506173 (round off as needed)

Answer:

yes it is

Step-by-step explanation:

It is a rational number, as it can be written as a fraction.

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3

this is shown in graph b

Answer:

x = -9

Step-by-step explanation:

1/3x + 1 = -2

1/3x = -2-1

1/3x= -3

x = -3 * 3

x = -9

Hey there!

1/3x + 1 = -2

SUBTRACT 1 to BOTH SIDES

1/3x + 1 - 1 = -2 - 1

SIMPLIFY IT!

1/3x = -2 - 1

1/3x = -3

MULTIPLY 3 to BOTH SIDES

1/3x * -3 = -3 * 3

SIMPLIFY IT!
x = -3 * 3

x = -9

Therefore, your answer should be:

x = -9

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]

[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]

As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.

This  is an equilateral triangle, therefore, all the angles  are 60 degrees.

3 times  60 is  180.

180 is the answer

Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

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Answer:

y = 108

Step-by-step explanation:

2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .

Now we solve for x :

Subtract 2x from both sides :

16 = x - 12

Now we add 12 to both sides :

28 = x

Angle 3x-12 and y add up to 180 as they are on a straight line :

3x-12 + y = 180

Substitute x and solve for y :

3(28) - 12 + y = 180

84 - 12 + y = 180

72 + y = 180

y = 108  

Hope this helped and have a good day

By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm

We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.

So we can write:

27,238 cm³ = (2/3)*V

Then the volume of the tank is:

V = (3/2)*27,238 cm³ = 40,992 cm³

The base of the tank measures 40cm by 28cm, then:

B = 40cm*28cm = 1,120 cm²

Then the height H is such that:

H*1,120 cm² = 40,992 cm³

Solving for H:

H = (40,992 cm³)/(1,120 cm²) = 36.6cm

The height of the tank is 36.6 centimeters.

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The probability that he would have done at least this well if he had no ESP is 0.99979

To determine the probability, we need to first find the probability of doing well with ESP.

The probability of having 20 correct answers out of 23 coin flips is:

[tex]\mathbf{=(\dfrac{1}{2})^{20}}[/tex]

Since we have 20 correct answers, we also need to find the probability of getting 3 answers wrong, which is:

[tex]\mathbf{=(\dfrac{1}{2})^{3}}[/tex]

There are [tex](^{23}_{20})[/tex] = 1771 ways to get 20 correct answers out of 23.

Therefore, the probability of doing well with ESP is:

[tex]\mathbf{= 1771 \times (\dfrac{1}{2})^{20}} \times (\dfrac{1}{2})^{3}}[/tex]

= 0.00021

The probability that he would have at least done well if he had no ESP is:

= 1 - 0.00021

= 0.99979

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Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me

Answer:

60%

Step-by-step explanation:

So, this question is saying the bowls can be between a diameter of 6.95 and 7.05

Box 1, 3 and 5 are in this margin.

Box 2 and 4 are not.

3/5 boxes can be included.

3/5 is 6/10

6/10 is 60%