Find the surface area of a rectangular prism.
A rectangular prism with length 45 feet, width 15 feet, and height 10 feet.
a.
1275 sq. ft
b.
1875 sq. ft
c.
6750 sq. ft
d.
2550 sq. ft
Please select the best answer from the choices provided
A
B
C
D
Answer:
d.
2550 sq. ft
Step-by-step explanation:
i got 100% on edg
Use the graph shown. State the number of real zeros of the function.
Answer:
Option B
Step-by-step explanation:
Zeros of a function are defined by the values of x at y = 0,
In other words, x-intercepts of a function graph are the zeros of the function.
Real zeros means graph should intersect or touch the x-axis.
If it is imaginary, the graph will have no x-intercept.
From the graph attached,
There are 3 points where the graph intersects the x-axis.
Therefore, the function will have 3 real zeros.
Option B is the answer.
find the product. Write your answer in scientific notation (5 x 10^-7) x (3 x 10^6)
Multiply and combine like terms. Use^ for exponents. (2x-10)(3x-3)
Answer:
The answer is 5x - 13
Step-by-step explanation:
All we do is add the x's and the other numbers.
2 + 3 = 5 and 10 + 3 = 13
So, the equation is 5x - 13
Hope this helps! :)
A student is building a squirrel feeder for a family member. The figure is a model of the feeder. A rectangular prism with dimensions 4 and one-fourths inches by 18 and one-fourth inches by 3 inches. How much feed can the container hold?
The container can hold approximately 232.3125 cubic inches of feed.
What is the rectangular prism?
A rectangular prism is a 3-dimensional solid object that has six faces which are rectangles. It is also known as a rectangular parallelepiped.
To find the volume of the rectangular prism, we need to multiply its length, width, and height.
Given:
Length = 4 and one-fourths inches = 4.25 inches
Width = 18 and one-fourths inches = 18.25 inches
Height = 3 inches
V = 4.25 inches × 18.25 inches × 3 inches
V = 232.3125 cubic inches
Hence, the container can hold approximately 232.3125 cubic inches of feed.
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I need help finding the m with m
The value of x in the angles is 17
How to determine the value of x?The angles are given as
3x + 10 and 2x - 5
These angles are complementary angles
So, we have
3x + 10 + 2x - 5 = 90
Collect the like terms
So, we have
3x + 2x + 10 - 5 = 90
Evaluate the like terms
So, we have
5x = 85
Divide both sides by 5
x = 17
Hence, the value of x in the angles is 17
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Can someone please help me with my homework:(
Answer:
118.3
Step-by-step explanation:
The formula for the area is a triangle is base*height/2
Area = 18.2*13/2 = 118.3
Answer:
118.3
1/2b×h
1/2(13)x18.2
6.5×18.2
118.3m^2
what are two reasons that multiple regression designs cannot completely establish causation?
Two reasons that multiple regression designs cannot completely establish causation are: 1) correlation does not imply causation, and 2) the presence of confounding variables.
1) Correlation does not imply causation: Multiple regression designs can help identify correlations between variables, but correlation alone does not prove causation. There could be other factors at play, or the observed relationship could be due to chance.
2) Presence of confounding variables: Confounding variables are variables that affect both the independent and dependent variables, leading to a spurious association. In multiple regression designs, it is possible that not all confounding variables are accounted for, which can lead to inaccurate conclusions about the causal relationship between variables.
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the probability is 0.6826 that x is in the symmetric interval about the mean between which two numbers?
the probability is 0.6826 that x is in the symmetric interval about the mean between two numbers then the two numbers are 70.002 and 89.998
What is the mean ?
it is the weighted average of numbers.
the probability is 0.6826 that x is in the symmetric interval about the mean between two numbers then the two numbers are 70.002 and 89.998
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Help pls
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5.
Is the relation a function? Explain.
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input
Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
The correct statement for the given relation being a function is -
B: No, because for each output there is not exactly one input.
What is a relation?
In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.
To determine if the relation is a function, we need to check if there is exactly one output (y-value) for each input (x-value).
Looking at the mapping diagram, we see that the input value of 1 and -3 has arrows pointing to one output value which is 0.
Similarly, the input value -1 and 3 has arrows pointing to one output value which is 2.
Therefore, there is not exactly one input for the output value of 0 and 2.
Thus, the relation is not a function because for at least one output there is not exactly one input.
Therefore, this relation cannot be considered a function.
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PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!
Answer:
We know that in the box there are:
4 twix
3 kit-kat
Then the total number of candy in the box is:
4 +3 = 7
a)
Here we want to find the probability that we draw two twix.
All the candy has the same probability of being drawn from the box.
So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:
p = 4/7
Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.
this time the probability is:
q = 3/6 = 1/2
The joint probability is the product of the individual probabilities, so here we have
P = p*q = (4/7)*(1/2) = 2/7
b) same reasoning than in the previous case:
For the first bar, the probability is:
p = 3/7
for the second bar, the probability is:
q = 2/6 = 1/3
The joint probability is:
P = p*q = (3/7)*(1/3) = 1/7
c) Suppose that first we draw a twix.
The probability we already know that is:
p = 4/7
Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)
q = 3/6
The joint probability is:
P = p*q = (4/7)*(3/6) = 2/7
But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:
Probability = 2*P = 2*2/7 = 4/7
The cost of a council tax bill increased by 5%.
The council tax bill increased by £62.
Work out the cost of the council tax bill before the increase
Answer:
To work out the cost of the council tax bill before the increase, we can use the formula:
Original cost = New cost / (1 + increase percentage)
We know that the council tax bill increased by 5% and the increase is £62. So the new cost of the council tax bill is £62 more than the original cost.
We can use the formula above to find the original cost:
Original cost = £62 / (1 + 0.05)
Original cost = £62 / 1.05
Original cost = £59.04
So the cost of the council tax bill before the increase was £59.04.
geometry, NEED URGENT
Answer:
12.5
Step-by-step explanation:
6+4 to get 10, the full length of the first side
Divide 10 by 4 to get 2.5 (the scale)
Multiply 5 by 2.5 to get 12.5 in.
7b-3b+4 please help me with this
Answer:
4b+4
Step-by-step explanation:
7b-3b = 4b and then you cant do anything with the four so your answer should be 4b+4!
An investment has grown from $50,000 to $100,000 (which means it doubles) in 5 years compounding quarterly.
What was the interest rate? Round to the nearest tenth of a percent.
Answer:
We can use the formula for compound interest to find the interest rate:
A = P*(1 + r/n)^(n*t)
where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of compounding periods per year, and t is the time in years.
In this case, P = $50,000, A = $100,000, n = 4 (since compounding is quarterly), and t = 5. We want to solve for r.
First, we can find the factor by which the initial amount is multiplied after each compounding period:
(1 + r/n)
Since the investment doubles in value, this factor is 2. Therefore,
2 = (1 + r/4)^(4*5)
Simplifying this equation, we get:
2 = (1 + r/4)^20
Taking the 20th root of both sides, we get:
1 + r/4 = 2^(1/20)
Subtracting 1 from both sides and multiplying by 4, we get:
r = 4*(2^(1/20) - 1)
Using a calculator, we get:
r ≈ 6.1%
Therefore, the interest rate is approximately 6.1% per year, compounded quarterly.
Step-by-step explanation:
In circle C, r = 32units what is the area of circle C
Answer:
1024π, 3215.36
Step-by-step explanation:
The formula for the area of a circle is πr^2
R is the radius, which is already given to us. We need to find r^2
32x32=1024
1024π
We can leave it in terms of pi or we can solve it out.
1024x3.14=3215.36
1024π, 3215.36
Answer:
see below
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * 32^2
A =1024 pi units^2
If we use pi = 3.14
A = 3215.36 units^2
If we use the pi button
A =3216.990877 units^2
How many inches in 4.11 feet?
Answer: The answer is 49.32
Step-by-step explanation:
What is the surface area of the cylinder with height 2 mi and radius 6 mi? Round your answer to the nearest thousandth.
Answer:
301.440 mi²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Where,
Radius, r = 6 mi
Height, h = 2 mi
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)
= 75.36 + (6.28 * 36)
= 75.36 + 226.08
= 301.44 mi²
To the nearest thousandth
Surface area of a cylinder = 301.440 mi²
Please help me out, thanks.
in a golden rectangle the ratio of the length to the width equals the ratio of the length plus width to the length. find the value of this golden ratio.
The value of this golden ratio = 1/2 (1 + √5) = 1.618
Ratio:
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.
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for the exponential random variable, you should then test the empirical expectation and variance of the random variables you generated. assume you have generated random variables ????1,????2,????3,…,???????? calculate the empirical mean ????^
To test the empirical mean and variance of an exponential random variable generated with rate parameter λ, generate a sequence of n random variables and calculate the empirical mean and variance using appropriate formulas. Compare with theoretical values.
To test the empirical expectation and variance of the exponential random variable from a sample of n random variables X1, X2, ..., Xn generated with parameter λ, we can use the following formulas:
Empirical mean: Ȳ = (X1 + X2 + ... + Xn)/n
Empirical variance: s^2 = ((X1 - Ȳ)^2 + (X2 - Ȳ)^2 + ... + (Xn - Ȳ)^2)/(n - 1)
We can then compare the empirical mean and variance with the theoretical mean and variance of an exponential random variable with parameter λ, which are:
Theoretical mean: E(X) = 1/λ
Theoretical variance: Var(X) = 1/λ^2
To perform this test, we can generate n exponential random variables with parameter λ using a random number generator, and then calculate the empirical mean and variance using the formulas above. We repeat this process for 10,000 simulations and compare the results with the theoretical mean and variance.
If the results of the calculations are in line with what we expect, the empirical mean and variance should be close to the theoretical mean and variance, respectively. This is because the law of large numbers states that as the sample size increases, the sample mean and variance approach the population mean and variance.
If the results are not in line with what we expect, it could be due to a number of factors such as a faulty random number generator, an insufficient number of simulations, or a mistake in the calculation of the empirical mean and variance.
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What is the solution to the system of equations V 1.5 x 4 y =- X?
The solution to the system of equations y = 1.5x - 4 and y = -x is (1.6,-1.6)
The equations are given as: y = 1.5x - 4 & y = -x
The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables
Substitute y = -x in the first equation
-x = 1.5x - 4
Collect like terms
-1.5x - x = -4
Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.
This gives
-2.5x = -4
Divide both sides by -2.5
x = 1.6
Substitute x = 1.6 in y = -x
y = -1.6
Hence, the solution to the system of equations is (1.6,-1.6).
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how many people live in south african households? to find out, we collected data from an srs of 49 out of the over 700,000 south african students who took part in the census at school survey project.
The mean number of people living in a household was 6.208, indicating that the average household size in South Africa is approximately six people.
The Census At School survey project collected data from an SRS of 48 South African students to estimate the number of people living in South African households.
The standard deviation of 2.576 indicates that there is considerable variation in household size, with some households having fewer than four people and others having more than eight people.
The sample size of 48 is relatively small compared to the total population of South Africa, which is over 58 million people. Therefore, the estimates based on this sample may not accurately reflect the entire population. However, the use of random sampling techniques, such as SRS, helps to minimize bias and increase the representativeness of the sample.
Overall, the data collected from the Census At School survey project provides a valuable insight into the average household size in South Africa. This information can be used by policymakers and researchers to inform decisions regarding housing, healthcare, and other public services.
The Complete question is:
How many people live in South African households? To find out, we collected data from an SRS of 48 out of the over 700,000 South African students who took part in the CensusAtSchool survey project. The mean number of people living in a household was 6.208; the standard deviation was 2.576.
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En el parque de béisbol "Héctor Espino"; cuatro boletos de butaca y 7 de general cuestan $ 415.00, mientras que tres de butaca y dos de general cuestan $ 230.00. Encuentra el precio de un boleto de butaca.
Answer:
is this question in Spanish?
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
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Two skiers are moving in a circular path in the same direction. One of them is the
champion of the city. The other one has started training only recently. The
champion completes each lap 2 minutes faster than the beginner. He overtakes the
beginner every 24 minutes. How many minutes does it take for the champion to
complete a circle?
The amount of time that it will take for the champion to complete a circle will be 48 minutes.
The beginner skier takes 50 minutes to complete a lap, so the champion skier completes each lap 2 minutes faster. This means that the champion skier overtakes the beginner every 24 minutes.
Therefore, the champion skier completes a full circle in 48 minutes, which is equal to 24 minutes for the beginner skier. This means the champion skier completes 2 laps at the same time it takes the beginner skier to complete one lap.
So, 24×2 = 48
In conclusion, it takes the champion skier 48 minutes to complete a full circle.
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Write an exponential function in the form y=ab^x
that goes through points (0, 13)and (3, 832).
The exponential function in the form y=ab^x that goes through points is y = 13(8)^x
How to write an exponential function in the form y=ab^x that goes through points?The points are given as (0, 13) and (3, 832).
The exponential function is given as
y = ab^x
At point (0, 13), we have
13 = ab^0
Evaluate
13 = a * 1
This gives
a = 13
Substitute a = 13 in y = ab^x
y = 13b^x
At point (3, 832), we have
832 = 13b^2
Evaluate
b^2 = 64
This gives
b = 8
Substitute b = 8 in y = 13b^x
So, we have
y = 13(8)^x
Hence, the exponential function in the form y=ab^x that goes through points is y = 13(8)^x
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What is 41.5-33.24. I keep on getting it wrong
Answer:
the answer is 8.26
Step-by-step explanation:
your welcome <33
Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the number of ant legs, 1. Katie writes a=6•1 and Lukas writes a=1/6•1 whose equation do u agree with
the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation
Katie's equation is a=6•1, which states that the number of ants (a) is equal to 6 times the number of ant legs (1). Lukas's equation is a=1/6•1, which states that the number of ants (a) is equal to 1/6 of the number of ant legs (1). Since it is known that each ant has 6 legs, Katie's equation is correct, and therefore I agree with it.
The correct equation for the proportional relationship between the number of ants and the number of ant legs is a=6•1, which states that the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation
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who here play fort nite and rocket leauge
Answer:
I play fort nite i never like rocket
St
Answer:
i do i play fort nite my epic user is jking_92
Step-by-step explanation: