A crate is being lifted into a truck. If it is moved with a 2470 N force and 3650 J of work is done, then how far is the crate being lifted?

9514 1404 393

Answer:

  33

Step-by-step explanation:

The total number of ratio units is 4+7 = 11. If each one stands for an integer number of students, that number is a multiple of 11 between 24 and 40. The only such number is 3×11 = 33.

There are 33 students in the class.

_____

12 are boys, 21 are girls.

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

Answer:

Step-by-step explanation:

(27m^8n^4)^(1/3)

= 27^(1/3) (m6)^(1/3)(n)^(1/3) (m^2n)^(1/3)

= 3m^2n(m^2n)^(1/3)

So the answer is the last.

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

2 y determinant is the answer

Answer:

$54659.21

Step-by-step explanation:

By using the formula of 9270 * (1.053)^34 I can find the annual compound interest.. I reccomend using a calculator.

Answer:

$ 4096 on the 7th day

Step-by-step explanation:

From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.

So therefore:

Day 1 =4⁰

Day 2=4¹

Day 3=4²

Day 4=4³

Day 5=4⁴

Day 6=4⁵

Day 7=4⁶

Therefore on day 7 he saves 4⁶ which is $4096

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

Formula to convert radian into degrees

radian × (180°/π) = degrees

7π / 2 × 180 / π = 630°

Answer:

2 hours

Step-by-step explanation:

hopefully

Answer:

well Liam is right that is the same statement

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

Answer:

( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])  

Step-by-step explanation:

Curve is concave downward when the second derivative is negative.

y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus

y'' =   [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.

Answer:

8281.72

Step-by-step explanation:

Given:

Principal, P = 7700

Rate, r = 10 3/4 % = 43/4 % = 0.1075

Time, t = 253 days = 253/ 360

Using the relation :

A = P(1 + rt)

A = maturity value

A = 7700(1 + 0.1075*253/360)

A = 7700(1 + 0.0755486)

A = 7700(1.0755486)

A = 8281.7243

A = 8281.72

Answer:

10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3,16, 7, 19, 1, 12, 3,9,16,12

First list in ascending order:

= 1 3 3 7 9 12 12 16 16 19

The median is the mean of the middle 2 numbers:

Median = (9 + 12) / 2 = 10.5.

Answer:

my only question is A

Step-by-step explanation:

when you have a 30-60-90 triangle, you sides will always have a set pattern

Answer: A) {6, 12, 12 3 }

explanation: The sides of a 30-60-90 triangle will always have a consistent design. Thus, the answer is A.

Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

Answer:

$15.75

Step-by-step explanation:

[tex]\frac{y}{15} :\frac{5}{100}[/tex]

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

[tex]\frac{y}{15} :\frac{10}{100}[/tex]

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Answer:

Hello again!

Original coordinates: 5, -2

New coordinates: 0, 4

Heres a picture demonstration to find the new coordinates. How I moved 5 left and 6 up

Hope that helps!

Answer:

B) no solution

Step-by-step explanation:

this can be solved by substitution method

y= ⅔x + 4. (equation 1)

and 2x-3y= 3. (equation 2)

substitute for y into equation 2

2x-3(2/3x + 4) = 3

2x - 2x -12=3

0=15

this is a no solution equation

Here

[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{2/3}{2}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{b_1}{b_2}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{c_1}{c_2}=\dfrac{-4}{3}[/tex]

As

[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

It has no solutions

Answer:

78.5 un²

Step-by-step explanation:

A = π · r²

π · 10²

314 un²

314 un² ÷ 4

78.5 un²

Answer:

13

Step-by-step explanation:

starting equation is 15=0.75(x)+5.

You have to have the numbers on one side so...

15-5=10, and 5-5=0.

now, our equation is 10=0.75(x).

we are looking for x, so....

10/.75= 13 and 1/3.

since there is no such thing as a third of a song, 13 would be our number.