It Carlos sits 3 feet from the fulcrum of a see-saw, how far from the fulcrum must his baby-sister who weighs three-times his weight sit?
A. 1 foot
B. 6 feet
C. 3 feet
D. 9 feet
Answers
Answer: B: 6 feet
Step-by-step explanation: To solve this problem, we need to use the concept of leverage, which is the force applied to an object at a distance from its pivot point. In this case, Carlos is applying a force of 3 feet from the fulcrum, while his baby sister is applying a force 3 times as large, at a distance from the fulcrum.
To find the distance from the fulcrum that the baby sister must sit, we need to balance the forces applied by Carlos and his sister. This means that the product of the force applied by Carlos and the distance from the fulcrum must be equal to the product of the force applied by his sister and the distance from the fulcrum where she must sit.
We can use this information to write the equation: 3 * 3 = 3 * x
Where x is the distance from the fulcrum where the baby sister must sit. We can solve for x by dividing both sides of the equation by 3 to get: x = 6
Therefore, the baby sister must sit 6 feet from the fulcrum in order to balance the forces applied by Carlos and his sister. The correct answer is B. 6 feet.
Related Questions
There are 3 boys in a Class of 11 student
What ratio of all student in the class of girls?
What ratio of girls to boys?
Answers
Answer:
1) 11:8
2) 3:8
Step-by-step explanation:
Answer:
ratio of girls to all students = 8/11 = 8 : 11
ratio of girls to boys = 8/3 = 8 : 3
Step-by-step explanation:
total students - boys = number of girls.
11 - 3 = 8
Work out the size of an exterior and an interior angle of a regular 25-sided polygon.
Answers
Answer:
14.4 degrees, 165.6 degrees
Step-by-step explanation:
Exterior angle of a regular polygon = 360 / number of faces, 360/25=14.4 degrees
Interior angle = 180 - exterior = 180 - 14.4 = 165.6 degrees
Pleasssss helppppppp!!!
Answers
Answer:
just find it then multiply it by 0.50 because 0.50 is 1/2 converted to a decimal and thats the scale factor
Step-by-step explanation:
Evaluate the following limits. Show your work. limx→[infinity] (5e^2x - 3e^-2x) / (2e^2x + e^-2x)
Answers
To evaluate the limit limx→[infinity] (5e^2x - 3e^-2x) / (2e^2x + e^-2x), we can use the fact that as x approaches infinity, e^x grows much faster than e^-x.
This allows us to ignore the term with e^-2x in both the numerator and denominator. We can simplify the expression by canceling out the common factor of e^2x, resulting in the expression (5/2). Therefore, the limit is equal to 5/2. In general, when approaching a limit at infinity involving exponential functions, it is useful to consider the relative growth rates of the terms involved.
If one term grows much faster than the other, we can often simplify the expression by ignoring the slower-growing term. By using this approach, we were able to simplify the original expression and evaluate the limit quickly and easily.
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Please help me with I’m desperate
Answers
Answer:
Radius
314 cm²
Step-by-step explanation:
They gave you the diameter which you can find the radius from, and you need the radius to find the area. The radius is 10, and that squared is 11. Multiply 3.14 times 100 to get 314.
A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters. True or false
Answers
A cylinder has a height of 15 feet and a diameter of 14 feet.
What is the Volume?
Answers
if it has a diameter of 14 feet, that means its radius is half that or 7 feet.
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=15\\ r=7 \end{cases}\implies V=\pi (7)^2(15) \\\\\\ V=735\pi \implies V\approx 2309.07~ft^3\)
calculate volume of the solid which lies above the xy-plane and underneath the paraboloid z=4-x^2-y^2
Answers
Answer: The volume of the solid is -31π square units.
Step-by-step explanation:
To find the volume of the solid which lies above the xy-plane and underneath the paraboloid
z=4-x²-y²,
The first step is to sketch the graph of the paraboloid:
graph
{z=4-x^2-y^2 [-10, 10, -10, 10]}
We can see that the paraboloid has a circular base with a radius 2 and a center (0,0,4).
To find the volume, we need to integrate over the circular base.
Since the paraboloid is symmetric about the z-axis, we can integrate in polar coordinates.
The limits of integration for r are 0 to 2, and for θ are 0 to 2π.
Thus, the volume of the solid is given by:
V = ∫∫R (4 - r²) r dr dθ
where R is the region in the xy-plane enclosed by the circle of radius 2.
Using polar coordinates, we get:r dr dθ = dA
where dA is the differential area element in polar coordinates, given by dA = r dr dθ.
Therefore, the integral becomes:
V = ∫∫R (4 - r²) dA
Using the fact that R is a circle of radius 2 centered at the origin, we can write:
x = r cos(θ)
y = r sin(θ)
Therefore, the integral becomes:
V = ∫₀² ∫₀²π (4 - r²) r dθ dr
To evaluate this integral, we first integrate with respect to θ, from 0 to 2π:
V = ∫₀² (4 - r²) r [θ]₀²π dr
V = ∫₀² (4 - r²) r (2π) dr
To evaluate this integral, we use the substitution
u = 4 - r².
Then, du/dr = -2r, and dr = -du/(2r).
Therefore, the integral becomes:
V = 2π ∫₀⁴ (u/r) (-du/2)
The limits of integration are u = 4 - r² and u = 0 when r = 0 and r = 2, respectively.
Substituting these limits, we get:
V = 2π ∫₀⁴ (u/2r) du
= 2π [u²/4r]₀⁴
= π [(4 - r²)² - 16] from 0 to 2
V = π [(4 - 4²)² - 16] - π [(4 - 0²)² - 16]
V = π (16 - 16² + 16) - π (16 - 16)
V = -31π.
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Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the venn diagram. Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?.
Answers
The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6
To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.
So, the probability that a randomly chosen customer who likes cake also likes pie is:
P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake
P(pie | cake) = 10/15
P(pie | cake) = 2/3
Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.
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Answer: 2/3
Step-by-step explanation:
Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!
Answers
Answer:
30 many shoot basket did he make
As the x-values increase by 1, the y-values increase by 15. Which equation shows this?
Answers
Answer:
Y=15x
Step-by-step explanation:
20) Find angle Dd= 54.9 cm, f= 69.2 cm, F = 56°
Answers
Using sine rule formula to resolve the value for angle D
The sine rule formula is,
\(\frac{sinD}{d}=\frac{sinF}{f}\)Given:
\(\begin{gathered} d=54.9cm \\ f=69.2cm \\ F=56^0 \end{gathered}\)Therefore,
\(\frac{sinD}{54.9}=\frac{sin56^0}{69.2}\)Simplify
\(\begin{gathered} sinD=\frac{54.9\times sin56^0}{69.2}=0.65771911464 \\ D=sin^{-1}(0.65771911464)=41.12615063003\approx41^0(nearest\text{ degree\rparen} \\ D=41^0 \end{gathered}\)Hence, the answer is
\(\angle D=41^0\)a random variable x is exponentially distributed with a mean of 25. what is the probability that x is between 25 and 30?
Answers
The probability that x is between 25 and 30 is 0.087.
The cumulative distribution function (CDF) of an exponential distribution with mean 25 is given by:
F(x) = 1 - exp(-x/25)
The probability that x is between 25 and 30 can be found by evaluating the CDF at x = 30 and x = 25 and subtracting the two values:
P(25 < x < 30) = F(30) - F(25) = (1 - exp(-30/25)) - (1 - exp(-25/25))
= (1 - exp(-1.2)) - (1 - exp(-1))
= 0.255 - 0.368
= 0.087
So, the probability that x is between 25 and 30 is 0.087.
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Please help with spanish! I just need three examples for each one. Thank you!!
Answers
Answer:
Hola and Como estas
Step-by-step explanation:
Hola means hello and you can use it formally and informally when speaking to friends or respected family members.
Como estas is a informal way of saying how are you to friends.
HELP ME PLS I WILL GIVE BRAINLIESTTTTTTT
Answers
Answer:
16*13= 208..................
Answer:
208 ounces in a crate
Step-by-step explanation:
There are 13 ounces in a jar
There are 16 jars
You will multiply 16×13 which gives you 208
Solving proportions
\( \frac{1\3}{5} = \frac{a}{20} \)
![Solving proportions[tex] \frac{1\3}{5} = \frac{a}{20} [/tex]](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/r0vU7rObDcFEz7fu2gn9NUB6H8prQewu.jpeg)
Answers
Answer:
a = 4/3
Step-by-step explanation:
1/3 a
----- = -----
5 20
Using cross products
1/3 * 20 = 5a
20/3 = 5a
Divide each side by 5
20/3 * 1/5 = 5a/5
4/3 = a
Jane Curtain owns Jane's Window Fashions, a small window treatment business. In 2021 she reported to you the following: Sales $ 200,000 Cost of sales 100,000 Jane only buys merchandise upon sales Administrative costs: Rent 20,000 Phone and internet 2.000 Utilities 2,700 Insurance 1,200 Health insurance Car expenses (other than depreciation) 12,000 6,000 In 2021 Jane purchased a new Land Rover for $100,000. She used it 75% for business. She would like to take Bonus Depreciation. In 2021 Jane purchased some installation equipment (5 year life) for 5,000 In 2021 Jane had the following stock sales. Name Purch date Purch Amount Sale Date Sale amount Dapple Inc 1/15/1980 7.000 5/15/2021 10,000 WestEast 7/15/2015 6,000 6/15/20219,000 Green Acre 6/30/2021 12,000 9/30/2021 10.000 Jane received a dividend of $500 from Dapple. The ex-dividend date was 3/20/2021. Jane received a $1,000 dividend from GreenAcre. The ex- dividend date was 7/15/2021. Jane did not receive a dividend from Greenacre 2021. Jane is single with no children. She owns no cryptocurrency. Jane made 4 equal payments of $5,000 each (total $20,000) estimated payments. In 2020 her tax was $19,000. Jane has received her $1,400 stimulus payment in 2021.
Answers
Answer:its a lot of money
Step-by-step explanation:
The function g(x) is a transformation of the cube root parent function, f(x)=x3f(x)= 3 x . What function is g(x)?
Answers
Given: g(x) is a transformation of the cube root parent function,
\(f(x)=\sqrt[3]{x}\)Find: The function g(x)
Explanation: As we can see from the graph that if we multiply by 2 in function f(x) we will get the graph of function g(x).
Hence, the equation of graph g(x) will be
\(g(x)=2\sqrt[3]{x}\)A System of equations with positive slopes and intersect the y axis at point -6
Answers
what do you want me to answer?
Pleaseeeee I’ll mark u brainleast
Answers
Answer:
1: x = 10
2: x = 2
3: x = 5
4: x = -5
Step-by-step explanation:
2. c
3. a
4. h
what function lets you test if something is true or false and then do different things depending on which result you get? (include the
Answers
The function is called an if/else statement function lets you test if something is true or false and then do different things depending on which result you get.
An if/else statement is a type of control flow statement that allows a program to execute different instructions depending on the result of a logical expression. The statement begins with an if condition, followed by a set of instructions to be performed if the condition is true. If the condition is false, the program executes the instructions after the optional else statement. The syntax for an if/else statement looks like this: if (condition) { // Instructions to execute if condition is true } else { // Instructions to execute if condition is false } By using an if/else statement, a program can make decisions and perform different actions based on the results of a logical expression.
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Let f be a differentiable function such that f (2) = 4 and f (2) = − 1/2 . What is the approximation for f (2.1) found by using the line tangent to the graph of f at x = 2 ?
Answers
Using line tangent, the approximation for f(2.1) is 3.95
Given,
The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).
The equation be like;
y - f(a) / (x - a) = f'(a)
y = f'(a) (x - a) + f(a)
Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation
y = f'(2) (x - 2) + f(2)
y = -1/2 (x - 2) + 4
To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.
y = -1/2 (x - 2) + 4
y = -1/2 (2.1 - 2) + 4
y = -1/2 x 0.1 + 4
y = 3.95
That is,
The approximation for f(2.1) using line tangent is 3.95
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Whats the inverse function of
“C = 5 + 2t”
and how do I find it?
Answers
Answer:
yeahhh
Step-by-step explanation:
C=5+2t represents of the total Cost of attending the carnival: you pay admission fee of $5 and then $2 for ticket to play games
To find inverse function of C(t), solve the equation for "t" (in inverse function, function and argument are swapped):
t =(C - 5)/2
The inverse function represent the number of games played by someone at the carnival.
LaTeX: t=\frac{C-2}{5} is not the inverse function of C(t). The inverse function was found in 2.
- 1/2 + ( 3/4 x 4/9)
Answers
Answer:- 1/6
Step-by-step explanation:
I just learned this!
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.
A. sine
B. tangent
C. cotangent
D. secant
Answers
Answer:
the answer is b. tangent
Step-by-step explanation:
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.
On which triangle can we apply trigonometric ratios?The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
The tangent of the angle is
\(\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\)
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what is the mass of x divided by 12
Answers
The value of expression is,
⇒ x ÷ 12
We have to given that;
The algebraic expression is,
⇒ x divided by 12
Hence, We can formulate;
The value of correct expression is,
⇒ x ÷ 12
⇒ x / 12
Thus, The value of expression is,
⇒ x ÷ 12
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Josh is going to the store with $60 to buy candy. bags of candy corn cost $3 & bags of chocolate cost $5 he needs to buy at least 20 bags of candy.
What do I put for the blank space? 3x+5y_60
Answers
Answer:
3a+5b
Step-by-step explanation:
Variable 1: a = candy corn
Variable 2: b = chocolate
Inequality 1: 60 ≥ 3a + 5b
Inequality 2: 20 ≤ 3a + 5b
The inequalities are as such because Josh needs to spend no greater than $60. He must also buy at least 20 bags of candy. The candy corn costs $3, while the chocolate costs $5. An expression for the total cost of the candy would be 3a + 5b.
the time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called a(n) component. trend irregular seasonal cyclical
Answers
The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.
The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.
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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called
A. a cyclical component
B. a trend component.
C. seasonal component.
D. irregular component.
five times a number is 120
Answers
120/5=x
X=24
Hope this helps!
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answers
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation: