Help!!!
The amount of force, F, needed to lift an object using a lever varies inversely as the length, l, of the lever. When a 24-inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36-inch long lever is used?
I already know A. 120 pounds is wrong
A. 120 pounds XXX
B. 160 pounds
C. 252 pounds
D. 360 pounds
Answer:
F = 160 pounds
B. 160 pounds
Step-by-step explanation:
F = k / l
Where,
F = amount of force needed
l = length of the lever
k = constant of proportionality
F = 240 when l = 24 inch
F = k / l
240 = k / 24
Cross product
240*24 = k
k = 5,760
Find F when l = 36 inch
Recall, k = 5,760
F = k / l
= 5,760 / 36
= 160
F = 160 pounds
The correct answer is B. 160 pounds
The variation is an inverse variation.; so, 160 pounds of force is needed for a 36-inch long lever
Given that F varies inversely as L, the variation is represented as:
[tex]F\ \alpha\ \frac 1L[/tex]
Express as an equation
[tex]F\ =\ \frac kL[/tex] -- where k represents the constant of variation
Make k the subject
[tex]k =FL[/tex]
When F = 240, L = 24.
So, we have:
[tex]k =240 \times 24[/tex]
[tex]k =5760[/tex]
Substitute 5760 for k in [tex]k =FL[/tex]
[tex]5760 = FL[/tex]
When L = 36, we have:
[tex]5760 = 36F[/tex]
Divide both sides by 36
[tex]160 = F[/tex]
Rewrite as:
[tex]F = 160[/tex]
Hence, 160 pounds of force is needed for a 36-inch long lever
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11. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
The value of the variable x for this problem is given as follows:
[tex]x = \frac{5\sqrt{2}}{2}[/tex]
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 45º, we have that:
x is the opposite side.5 is the hypotenuse.Applying the sine ratio, the value of x is given as follows:
sin(45º) = x/5
x = 5sin(45º)
[tex]x = \frac{5\sqrt{2}}{2}[/tex]
A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828
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described how to find the sums -4+2 and -4+(-2) on a number line
Answer:
The answer to this question is given below in the explanation section.
Step-by-step explanation:
The number line helps in understanding the negative and positive numbers.
with the help of a number line, you can easily add and subtract positive and negative numbers.
As it is required to find the sum of -4+2 and -4+(-2) on the number line.
We know that
-4+2=-2
and
-4+(-2)=-6
now we want to know how to represent them on number line.
You know the number line, the center is the origin that is represented by zero, and the number that goes in the right direction are positive numbers and the numbers that go, in left direction are the negative number.
so first we point -4 at the left side of the origin of the number line. then the next number in this equation is +2 which means we have to move from -4 to two-point right on the number line, then we reach point -2 at the number line.
next is -4+(-2)
for this, we point at -4 on the number line, then the next sign is + that means we have to move forward but toward the left direction because of -2. as we left side two points on the number line from point -4 we will reach at -6. so -6 is the answer of this addition (sum).
Share GH$25,000.00 between Amina and Mina in the ratio of 2.3
Answer:
2x + 3x = $25,000
5x = $25,000
x = $5,000
Amina will receive $10,000, and Mina will receive $15,000.
2:3
First, add 2 and 3 =5
The total money is 5
Then for Amina whose share is 2;
2/5 × 25,000 = GH$10,000.00
For Mina whose share is 3;
3/5 ×25,000 = GH$15,000.00
Therefore
Amina = GH$10,000.00
Mina=GH$15,000.00
PLEASE ME! ASSAP!
Given that set C is the negative integers greater than −15, which elements of set C are less than or equal to −11?
The elements of set C that are less than or equal to -11 are -11, -12, -13, -14, and -15.
Set C consists of negative integers greater than -15. In order to determine which elements of set C are less than or equal to -11, we need to identify the negative integers that fall within that range.
Starting with the number -11, we can check if it is included in set C. Since the set C includes negative integers greater than -15, and -11 is greater than -15, we can conclude that -11 is an element of set C.
Therefore, the elements of set C that are less than or equal to -11 are -11, -12, -13, -14, and -15.
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A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into sections, and each section has exactly 8 pages. How many sections does the newspaper have?
Answer:
4
Step-by-step explanation:
there is 4 sections i know because s8 times 4 is 32 but if it has less than 40 it can't be 5 because 5 times 8 is 40 then it has to be 4
6 students can plant a garden in 5 hours. How many additional students should they get to help if they need to finish the job in 3 hours instead of 5 hours?
The correct answer is 4
Explanation:
One of the ways to solve this mathematical problem is by using the rule of three because there are three pieces of information and one missing information. Below, I show the process step by step:
1. Consider the information provided and the missing information
6 students = 5 hours
x = 3 hours
2. Cross multiply to create a simple equation
5x = 18
3. Solve
x = 18 ÷ 5
x = 3.6
This means 3.6 students are required to plant the garden in 3 hours, and this can be rounded as 4 considering people or students cannot be counted using decimal numbers.
The price of the jeans was reduced $6 per week for 6 weeks. By how
much did the price of the jeans change over 6 weeks?
WHAT IS IT[tex]4x+2=2x+12[/tex]
Answer:
x=5
Step-by-step explanation:
4x+2=2x+12
4x-2x=12-2
2x=10
x=10/2
x=5
What is the measure of the diameter?
What is the measure of the circumference?
Answer:
circle
radius
Step-by-step explanation:
1 ) The diameter measures the circle at its largest point across. Another definition that is related to the diameter is the radius. It is the measurement from the center of the circle to its edge.
2) When a circle's diameter is 1, its circumference is π. When a circle's radius is 1—called a unit circle—its circumference is 2π. -
Answer:
Radius of circle = 3cmwe need to find the circumference and diameter of circle.
Dimeter of circle = 2× Radius
Diameter of circle = 2 × 6
Diameter of circle = 6cm
Circumference of circle = 2πr
Circumference of circle = 2 × π × 6
Circumference of circle = 12π
find f(2) - g(-2) if f(x) = 6^x - 4x and g(x) = 1/2x + 10
Answer:
3
Step-by-step explanation:
Step 1: Define
f(x) = 6ˣ - 4x
g(x) = 1/2x + 10
f(2) is x = 2
g(-2) is x = -2
Step 2: Find f(2) and g(-2)
f(2) = 6² - 4(6)
f(2) = 36 - 24
f(2) = 12
g(-2) = 1/2(-2) + 10
g(-2) = -1 + 10
g(-2) = 9
Step 3: Find f(2) - g(-2)
12 - 9 = 3
what is the number between 145.809 and 144.809?
Answer:
145.309
Step-by-step explanation:
So we want to find the midpoint of the two number: 145.809 and 144.809, what we want to do it to find the difference between the two numbers and then divide it by 2 so we can find the halfway point:
145.809 - 144.809 = 1
^ So from this, we just have to add half of 1 or 0.5 to the smaller number:
144.809 + 0.5 = 145.309
what is 23 times 34?
Answer:
782
Step-by-step explanation:
its too easy
multiply 34 by 23 and answer is 782
Answer:
23 x 34 = 782
23
x34
92
690
782
Of the 12.4 million species of organisms in the world today, 64% (almost two thirds) are insects.
Estimate to the nearest million the number of insect species.
Answer:
Approximately, there are 8 million insect species.
Step-by-step explanation:
Convert 64% into decimal
64%/100% = 0.64
To get the number of insect species, we just have to multiply the total species of organism by 0.64
Let n be the number of insect species
n = 12,400,000(0.64)
n = 7,936,000
n ≈ 8 million
The number of digits in the square root of 49729 is
Answer:
3
Step-by-step explanation:
it's square root is 223.
it has 3 digits as 2 2 3..
3 is answer..
The cost (c) to paint a building varies directly with the area of the surface being painted (A) in square feet. It costs $3,000 to paint a room with a surface area of 1,500 square feet. Determine an equation that gives the relationship between c and A. Question 18 options: A) c = 2∕A B) c = 2A C) c = 20∕A D) c = 20A
Answer:
Step-by-step explanation:
c=2A
An equation is formed when two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the cost to paint an area of 1,500 square feet is $3,000. Therefore, the equation that gives the relationship between c, cost and A, the area is,
cost = constant × area
c = k × A
$3000 = k × 1500 ft²
k = $2 per square feet
Now, the equation that gives the relationship between c and A can be written by substituting the value of k in the equation,
c = k × A
c = 2 × A
c=2A
Hence, the correct option is B.
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Help me with thank u sm ❤️❤️
A= { 1, 4, 9, 16, 25, 36, 49, 64, 81, 100} solve in
rule method
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Step-by-step explanation:
Just do this by the square root method
This year Colton earned 70,000 frequent flyer miles from his travels this year’s amount is 10 times as many miles as he earned last year.
How many miles did Colton earn last year
Answer:
Step-by-step explanation:
7000
Construct a stem-and-leaf plot from the following data set: 29, 65, 35, 56, 46, 50, 27, 51, 23, 35, 28, 22, 64, 30, 50, 41. What is the stem from the 4th row and all of its leaves?
Answer: The stem would be 4 and the leaves would be 1 and 6
Step-by-step explanation:
The stem would be the first number so for example in 29 the stem would be 2 and the leaves would be 9. Once you do that to each number and put them in lowest to highest order you now have your stem and leaf plot
Add 3 level scoops of mini chocolate chips and 1 level scoop of raisins to Container 1. If each scoop has the same number of items, what percent of the items in Container 1 are mini chocolate chips?
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
There are four scoops, and three of them are mini chocolate chips. 3/4=75/100. Therefore, 75%
M is between C and G. If CM = x , MG = x +12, and CG= 4x +6.
с
M
Answer:
CM = 3
MG = 15
CG = 18
Step-by-step explanation:
CM = x
MG = x + 12
C to G equals 4x + 6
CG = 4x + 6
And CM + MG (CG) also equals 2x + 12
CM + MG = 2x + 12
4x + 6 = 2x + 12 (solve for x)
Subtract 2x from both sides.
2x + 6 = 12
Subtract 6 from both sides.
2x = 6
Divide by 2
x = 3
CM = (3)
MG = 3 + 12 = 15
CG = 4(3) + 6 = 18
1. Find the distance between (-1, 1) and (3, 4)
Answer:
[tex]d=5[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(3-(-1))^2+(4-1)^2}[/tex]
[tex]d=\sqrt{(3+1)^2+(3)^2}[/tex]
[tex]d=\sqrt{(4)^2+9}[/tex]
[tex]d=\sqrt{16+9}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
A large watermelon weighs 269.8 pounds. Which measure is closest to this weight in kilograms: A. 592 OB 169 0 C 338 D. 122 o Tyne here to search
suppose that a number written as a decimal has an infinite number of non- repeating digits after the decimal point. What is this number called
Answer: Irrational number
If the decimal digits repeat forever, then the repeating decimal is considered rational.
For instance, 2/99 = 0.020202020202... where the "02" repeats forever
If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.
Which system of equations below can be used to solve the following problem?
The of a rectangular room is 80 square feet. If the length of one side of the room is 8 feet what is the perimeter of the room?
Answer:
C.
Step-by-step explanation:
1. Find the area part of the equation.
Area is base×height, so if we substitute 8 as the base and w as the height, A=8w
2. Find the perimeter of the equation.
Perimeter of a rectangle is 2(base + height), so in this case, it will be
P=2(8 + w), or C.
The sales tax for an item was $7.20 and it cost $360 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
2% sales tax rate
Step-by-step explanation:
1. The value of y varies directly with x. If
x = 13, then y = 65. What is the value of x
when y = 35?
Answer: x=7
Step-by-step explanation:
To find the value of x, we can set a proportion since the problem states that "y varies directly with x".
[tex]\frac{13}{65} =\frac{x}{35}[/tex]
Here, we see that the x is the numerator and y is the denominator.
[tex]\frac{13}{65} =\frac{x}{35}[/tex] [cross multiply]
[tex]455=65x[/tex] [divide both sides by 65]
[tex]x=7[/tex]
Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.
Jonathan makes of the free throws he attempts expresses percentage as a decimal.
WILL MARK AS BRAINLIEST!!!!
Answer: 0.705
Step-by-step explanation:
Answer:
0.705
Step-by-step explanation:
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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