1
1 point
The force, I needed to move a rock varies inversely as the length, L, of the crowbar used. When the length is 80 cm, the force needed is 1.5 N. Find the force needed when
the length of the crowbar is 120 cm
Type your answer..
3

Answer:

11/8

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

20 - 9 = 11

12 - 4 = 8

slope = 11/8

Answer:

the answer is: A

Step-by-step explanation:

31/2×12/3=3 2/6

Answer:500

Step-by-step explanation:

There are 100 production runs from each plant should be ordered to minimize the cost.

What is Production?

The process of making or manufacturing goods and products from raw materials or components is called Production.

The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.

And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.

And, A customer needs at least 100 tons of LP and 180 tons of HP,

Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,

= (0, 180), (40, 60), (100, 0).

Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.

So, There are 100 production runs from each plant should be ordered to minimize the cost.

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Answer:

1.5

Step-by-step explanation:

Answer:

1.5 is the answer

hope it helps!

Answer:

The third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Step-by-step explanation:

Given

As the sequence is given by

Tₙ = n² + 2n

To determine

The third term of the sequence

The third term of the sequence can be determined by substituting n = 3 in the sequence

Tₙ = n² + 2n

T₃ = (3)² + 2(3)

T₃ = 9 + 6

T₃ = 15

Therefore, the third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

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Answer:

-7

Step-by-step explanation:

you basically just move across and because its moving to the left its a negative

Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..

In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.

Given:

The shape P is mentioned on the graph is translated to shape Q.

So, the shape shifted 7 units to left.

and, the shape needs to shift downwards 4 places.

Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].

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Answer:

360°

Step-by-step explanation:

Based on what I know that the total of degrees has to be 360°. So, two sides of the rhombus have to have two acute angles and two obtuse angles. So, the  Image shows that the 63° is an acute angle. So, multiply 63 by 2 which is 126. Then subtract 126 from 360 which is 234. Then, divide 234 by 2 which is 117. Lastly, add 63 with 63 and 117 with 117 which is 360.

Hopefully, you understand.

Answer:

The equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].

Step-by-step explanation:

Algebraically speaking, a plane can be represented by following vectorial product:

[tex](a,b, c)\,\bullet\,(x,y,z) = 1[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Plane coeffcients.

[tex]x[/tex], [tex]y[/tex], [tex]z[/tex] - Coordinates.

We need three distinct points to determine all coefficients. If we know that [tex](x_{1},y_{1},z_{1}) = (0,9,9)[/tex], [tex](x_{2},y_{2}, z_{2}) = (9,0,9)[/tex] and [tex](x_{3},y_{3},z_{3}) = (9,9,0)[/tex], the system of equations to be solved is:

[tex]9\cdot b + 9\cdot c = 1[/tex] (1)

[tex]9\cdot a + 9\cdot c = 1[/tex] (2)

[tex]9\cdot a + 9\cdot b = 1[/tex] (3)

The solution of this system is [tex]a = \frac{1}{18}[/tex], [tex]b = \frac{1}{18}[/tex], [tex]c = \frac{1}{18}[/tex].

Hence, the equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].

Answer:

4x^2+3x-6

Step-by-step explanation:

Answer:

4x^2+3x-2

Step-by-step explanation:

I hope this helps

Answer: Each friend should pay $9.80

Step-by-step explanation: First add up all their checks, then divide them by 4 (4 because there 4 friends) to get the amount each friend needs to pay.

$12.20 + $11.00 + $8.50 + $7.50= $39.20

39.30 / 4 = $9.80

Answer:

Riian completed a greater amount of homework.

Step-by-step explanation:

The fraction 7/8 is greater than the fraction 2/3.

Answer:

1

Step-by-step explanation:

Hope this helpsss

Answer:

1

Step-by-step explanation:

The equation is 3/10 times 10/3, which is 30/30, which equals 1.

(hope this helps :P)

Answer:

8/2

Step-by-step explanation:

Answer:

8/2 will be your first answer but then you simplify to get the answer of 4

Answer:

Since they are similar their sides are corresponding,

9x + 1 / x + 5 = 49 / 14

or, 14 ( 9x + 1 ) = 49 ( x + 5 ) { cross multiply}

or, 126x + 14 = 49x + 245

or, 77x = 231

or, x = 231/77

or, x = 3

Hope it helped

ALL THE BEST!!

( Hope u will mark me brainliest )

Step-by-step explanation:

[(4³)² × 5⁶] ÷ 6⁶

(4⁶ × 5⁶) ÷ 6⁶

(4 × 5)⁶/6⁶

20⁶/6⁶

=

[tex]( \frac{20}{6} )^{6} [/tex]

=

[tex] (\frac{10}{3} ) ^{6} [/tex]

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

Answer:

D

Step-by-step explanation:

If im inncorect you can check this with "Mathaway"

Answer: D

Hope this helps!

Answer:

B.  28/15

Step-by-step explanation:

7/3 x 4/5 = 28/15

Answer:

13

Step-by-step explanation:

By angle bisector property:

[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]

Answer:

vertically Angle is correct answer

Answer:

Parasitism

Step-by-step explanation:

Area of a triangle  = 1/2 x length x height.

80 = 1/2 x (x+1) (2x-2)

Multiply both sides by 2:

160 = (x+1)(2x-2)

Expand the right side:

160 = 2x^2 -2

Add 2 to both sides:

162 = 2x^2

Divide both sides by 2:

81 = x^2

Take the square root of both sides:

x = 9

Now find the length of the s1des:

(x+1) = 9+1 = 10

2x-2 = 2(9) -2 = 18-2 =16

The shorter side is 10

(a). The probability that one of these five numbers is 3 is [tex]\frac{5}{6}[/tex].

(b). The least possible sum of the five numbers​ is 15

Probability is the ratio of number of favourable outcomes to the total number of outcomes.

When a fair dice has six sides, numbered 1 to 6 ,After it is rolled, five of the numbers can be seen.

The probability that one of these five numbers is 3 is computed as,

                        [tex]P(E)=\frac{5}{6}[/tex]

The least possible sum of the five numbers, when the number 6 is hidden.

Least sum = 1 + 2 + 3 + 4 + 5 = 15

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5×3=15

17+15=32

Step-by-step explanation:

3÷17=15

15+5=20

Answer:

Step-by-step explanation:

Answer:

no, it is not free. $31.08 is the sale price

Step-by-step explanation:

1 - .4 = .6 –––––> paying 60% of original price with first discount

129.50 • .6 = $77.70

1 - .6 = .4 ––––––> paying 40% of the discounted price

77.70 • .4 = $31.08 is the sale price