A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its surface area?
Answers
Answer:The surface area of rectangular prism is 166 m².
Step-by-step explanation:
Given that,
length l= 4 m
Width b= 5 m
Height h=7 m
Using the formula of surface area of rectangular prism
We substitute the value into formula
Hence, The surface area of rectangular prism is 166 m².
Related Questions
Which of the following statements are true about 28?
It can be read as "eight squared."
It has a power of 256.
It can be written as a multiplication problem with eight factors of 2.
It has an exponent of 2.
It has a power of 128.
It has a base of 2.
It can be read as "two raised to a power of eight
Answers
It has a power of 256, as stated in the assertion that "It may be interpreted as "eight squared." " This statement is genuine. Alternative
This will be discussed in further detail below.
What exactly is the act of multiplying?In mathematics, a product may refer to either the final result of carrying out the action of multiplication or an expression that specifies the components that are going to be multiplied. In either case, a product is the end result of completing the process of multiplication.
For example, thirty is the product of the integers six and five, but the dot product of x is just x multiplied by itself.
In conclusion, another possible interpretation of this phrase is "eight times eight." It's possible to see it as the mathematical statement "two raised to the power of eight," but that's only one possibility. As may be seen in the following example, it can be recast as a problem involving multiplication with eight different factors of 2.
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Write an exponential function
y = abx
for a graph that passes through
(2, 1)
and
(3, 4).
Answers
An exponential function y = abx for a graph that passes through (2, 1) and (3, 4) is \(y = (1/16)(4)^x\).
To write an exponential function in the form\(y = ab^x\) that passes through the points (2, 1) and (3, 4), follow these steps:
Step 1: Write the general form of the exponential function:
\(y = ab^x\)
Step 2: Plug in the coordinates of the first point (2, 1):
\(1 = ab^2\)
Step 3: Plug in the coordinates of the second point (3, 4):
\(4 = ab^3\)
Step 4: Solve for "a" and "b" using the equations from Steps 2 and 3.
We have two equations:
1)\(1 = ab^2\)
2) \(4 = ab^3\)
Divide equation 2 by equation 1 to eliminate "a":
\((4/1) = (ab^3)/(ab^2)\)
4 = b.
Now that we have found "b," we can find "a" by plugging "b" back into either equation 1 or 2.
We'll use equation 1:
\(1 = a(4)^21 = a(16)\)
a = 1/16
Step 5: Write the final exponential function using the values of "a" and "b":
\(y = (1/16)(4)^x\).
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The population of country Y is 170 million. The population reaches 340 million 85 years later. At what percent growth is the country increasing (round to the nearest hundredth percent)
Answers
We know the country's population is 170 million. After 85 years, it reaches 340 million.
We can use the population growth formula in order to determine the growth rate:
\(N=n_o\cdot e^{rt},\)where N is the population after time t, n₀ is the initial population and r is the growth rate (in the same units as t).
In this case, we have an equation for r:
\(340=170\cdot e^{r\cdot85},\)where we have ommited the fact that the numbers given were in the millions since all those zeroes woud have cancelled out at some point when solving the equation.
Let's solve the equation:
\(\frac{340}{170}=e^{r\cdot85},\)\(2=e^{r\cdot85},\)\(\ln (2)=\ln (e^{r\cdot85}),\)\(\ln (2)=r\cdot85,\)\(r=\frac{\ln (2)}{85},\)\(r\approx0.008154,\)which translates to approximately 0.82%.
In other words, the population grew at a rate of 0.82% per year.
Mia’s family drinks a total of 10 gallons of milk every 6 weeks. How many gallons of milk do they drink per week
Answers
How long will it take to pay off a loan of $49,000 at an annual rate of 9 percent compounded monthly if you make monthly payments of $400? Use five decimal places for the monthly percentage rate in your calculations. The number of years it takes to pay off the loan is years. (Round to one decimal place.)
Answers
To pay off a loan of $49,000 at an annual interest rate of 9% compounded monthly, with monthly payments of $400, it will take approximately 12.9 years.
To determine the time it takes to pay off the loan, we can use the formula for the number of periods (n) in the compound interest formula. In this case, the loan amount is $49,000, the monthly payment is $400, and the monthly interest rate is 9% divided by 12 (0.09/12 = 0.0075). We can use the following formula:
\(n = -log(1 - (r * P) / A) / log(1 + r)\)
where r is the monthly interest rate, P is the monthly payment, and A is the loan amount.
Plugging in the values, we have:
\(n = -log(1 - (0.0075 * 49000) / 400) / log(1 + 0.0075)\)
Calculating this expression, we find that n is approximately 12.9 years. Therefore, it will take approximately 12.9 years to pay off the loan with monthly payments of $400, rounded to one decimal place.
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In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Answers
Answer:
Female: 93/328
Adult: 103/328
Baby: 61/328
Step-by-step explanation:
71 + 93 + 103 + 61 = 328
Male: 71/328
Female: 93/328
Adult: 103/328
Baby: 61/328
Use the ALEKS calculator to find 48% of 70. Do not round your answer.
Answers
Answer:
its 28
Step-by-step explanation:
hope this helps also u have to divide 70 divided by 48% in order to get 28
suppose quadrilaterals a and b are both squares. determine whether the statement below is true or false. select the correct choice.a and b are scale copies of one another.
Answers
The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.
To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.
In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.
Therefore, the statement cannot be determined as true or false based on the given information.
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14
Find the area of the composite figure.
F
E
A
Use 3.14 for π.
Porafore help plis 10 points
Answers
The area of the given composite figure is 83.68 sq. m.
What is a composite figure?A figure that is formed by two or more definite figures or shapes can be referred to as a composite figure.
In the given figure, it is formed by a semi-circular and a rectangular part.
So that;
a. The area of the semi-circular part = 1/2πr^2
where r is the radius of the semi-circle.
Area = 1/2 *3.14*(10.2/2)^2
= 40.84 sq. m
b. Area of the rectangular part = length x width
= 10.2X 4.2
= 42.84 sq. m
The area of the composite figure = 40.84 + 42.84
= 83.68
The area of the composite figure is 83.68 sq. m
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Can someone assist me on this problem please!
Answers
Answer:
\( {9}^{9} \)
Step-by-step explanation:
\(( {9}^{ - 3} )( {9}^{12} ) \\ \\ \\ (\frac{1}{ {9}^{3} } )( {9}^{12} ) \\ \\ = {9}^{9} \)
I hope I helped you^_^
Josh has a triangular garden with sides represented with 15g²- 6g + 8.The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3. What is the perimeter of her garden?
Answers
The perimeter of her garden is 4g² -34g - 2 cm.
How to calculate the perimeter?It is important to note that the perimeter of a triangle is the addition of all its side. This will be illustrated thus:
In this case, Josh has a triangular garden with sides represented with 15g²- 6g + 8. The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3.
The perimeter will be:
= 15g²- 6g + 8 -17g² - 22g - 13 + 6g² - 6g + 3.
= 4g² -34g - 2
The perimeter is (4g² -34g - 2)cm.
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How do you subtract mixed numbers step by step?
Answers
In order to subtract mixed numbers, you need to make sure the fractions have the same denominator, subtract the numerators, subtract the whole numbers, and then combine the results.
When you subtract mixed numbers, you need to remember to subtract both the whole numbers and the fractions separately. The first step is to make sure that the fractions have the same denominator. Once the fractions have the same denominator, you can subtract the numerators and keep the denominator the same. After that, you can subtract the whole numbers.
Step 1: Make sure the fractions have the same denominator.
Step 2: Subtract the fractions.
Now that the fractions have the same denominator, we can subtract the numerators and keep the denominator the same:
Step 3: Subtract the whole numbers.
Now we can subtract the whole numbers:
Step 4: Combine the result.
Finally, we'll combine the result of the fraction and whole number:
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Use technology to find points and then graph the function y = √ x = 3 - 2 following the instructions below.
Plot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.
Answers
Given statement solution is:- The function y = √(x + 3) - 2 with at least four integer points on the axes.
To plot points and graph the function y = √(x + 3) - 2, we can utilize technology tools such as graphing calculators or online graphing tools. I'll demonstrate how to use an online graphing tool called Desmos, which is user-friendly and widely accessible.
Please follow these steps to plot the points and graph the function:
Visit the Desmos website or use any other graphing tool of your choice.
Clear any existing equations or plots on the graph.
Enter the function y = sqrt(x + 3) - 2 into the equation field.
The graphing tool will automatically plot the function.
To plot integer points, simply choose four different integer values for x and calculate the corresponding y values.
Let's choose the following integer values for x: -3, -2, 0, and 2.
Calculate the corresponding y values:
For x = -3: y = sqrt(-3 + 3) - 2 = -2
For x = -2: y = sqrt(-2 + 3) - 2 = -1
For x = 0: y = sqrt(0 + 3) - 2 = 1
For x = 2: y = sqrt(2 + 3) - 2 = 0
Plot these points on the graph by clicking on the appropriate locations.
If you accidentally click on a point and want to delete it, simply click on the point again to remove it.
Make sure the graph displays the axes and all the plotted points.
By following these steps, you should be able to plot the points and graph the function y = √(x + 3) - 2 with at least four integer points on the axes.
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In an experiment, fis the control variable, g is the response variable, and h
and k are extraneous factors. The specific units of are referred to as the
treatments of the experiment.
A. f
B. k
C. g
D. h
Answers
Answer:a
Step-by-step explanation:
If 0 divided by 1 is 0 then what is 0 divided by 0 equal ?
Answers
Answer:
1
Step-by-step explanation:
any number devide by itself is one
zero has 1 zero
0 divided by 0 is undefined, because it can't possibly create any groups to be split into.
Answer: Undefined
Solve y''+2y'+y = e^(-t)sqrt(1+t), t > -1
14.) Solve y" + 2y' + y = e¯¹√1+t, t > −1
Answers
The solution to the differential equation y'' + 2y' + y = e^(-t)sqrt(1+t), t > -1 is y = e^(-t)(C1 + C2t) + (1/3)e^(-t)sqrt(1+t), where C1 and C2 are constants. To solve the given second-order linear homogeneous differential equation y'' + 2y' + y = e^(-t)sqrt(1+t), we first find the complementary solution by solving the corresponding homogeneous equation y'' + 2y' + y = 0.
The auxiliary equation is obtained by substituting y = e^(mt) into the homogeneous equation:
m^2 + 2m + 1 = 0
Solving the auxiliary equation, we find a repeated root m = -1. Therefore, the complementary solution is y_c = (C1 + C2t)e^(-t), where C1 and C2 are constants.
To find the particular solution, we assume a particular form of y_p = Ae^(-t)sqrt(1+t), where A is a constant to be determined. Plugging this into the original non-homogeneous equation, we differentiate y_p twice and substitute them back into the equation:
y_p'' + 2y_p' + y_p = A(1 + t)^(-1/2)e^(-t) + A(1 + t)^(-1/2)e^(-t) + A(1 + t)^(-1/2)e^(-t)sqrt(1 + t) = e^(-t)sqrt(1 + t)
Matching the coefficients of the same terms on both sides, we find A = 1/3. Thus, the particular solution is y_p = (1/3)e^(-t)sqrt(1 + t).
The general solution to the non-homogeneous equation is obtained by adding the complementary and particular solutions:
y = y_c + y_p = (C1 + C2t)e^(-t) + (1/3)e^(-t)sqrt(1 + t)
Therefore, the complete solution to the given differential equation is y = e^(-t)(C1 + C2t) + (1/3)e^(-t)sqrt(1 + t), where C1 and C2 are constants.
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Becky borrowed $580.00 from the bank. The loan had a 13.5% simple annual interest rate, and she paid off the bill over 1.5 years. What was the total amount, including interest, Becky paid for the loan?
Answers
Answer:
697.45
Step-by-step explanation:
interest for the first year = 13.5 % of 580 = 78.3
for 0.5 year, it will be 78.3 /2 =39.15
1year + 0.5 year = 78.3 + 39.15= 117.45
add that to borrowed amount to get total amount paid
117.45+ 580= 697.45
6x + 7 = 10x then 18x =
Answers
Answer:
31.5 (multiplied it after)
Step-by-step explanation:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Answer:
31.5
Step-by-step explanation:
6x+7=10x
-6x =-6x
7= 4x
x= 7/4
If x= 7/4
18(7/4)= 31.5
If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?
Answers
Answer:
16.7%
Step-by-step explanation:
1/6 as a percent is 16.67 and to round to the nearest tenth would make that number 16.7
A number, d, is increased by 73% to give
4152.
Work out the original value of d.
Answers
Answer:
2400
Step-by-step explanation:4152 is just 173% of d.
We create an equation d = 4152/1.73
after solving you get 2400.
f(x)=g(x)
f(x)=-¾x²+3x+1
g(x)=(sqrt x)-1
what is the solution to f(x)=g(x)
1. x=0
2. x=1
3. x=2
4. x=4
Answers
Answer:
(d) x = 4
Step-by-step explanation:
You want the solution to the system of equations using the given graph.
f(x) = -3/4x² +3x +1g(x) = (√x) -1f(x) = g(x)GraphThe solution to the equation f(x) = g(x) is the x-coordinate of the point(s) on their graphs where the curves intersect.
The graph shows the point of intersection of the two functions is (4, 1). This is the solution you have marked in the supplied image.
x = 4
<95141404393>
7.) There were thirty-eight bales of hay in the barn. Dylan stacked more bales in the barn
today. There are now ninety-nine bales of hay in the barn. How many bales did he store in the
barn?
Answers
Answer:
61 bales of hay
Step-by-step explanation:
38 + 61 = 99
an individual has been driving a passenger vehicle to work, averaging 6060 miles a week in a car that averages 2222 miles per gallon. the individual plans to purchase a hybrid vehicle that averages 5050 miles per gallon. if the individual drives to work 5050 weeks a year, how much gas will they save if they switch to a hybrid vehicle for their commute? responses
Answers
If the individual switches to a hybrid car, they will save approximately 8,021.24 gallons of gas in a year for their commute.
To determine how much gas the individual will save if they switch to a hybrid vehicle, we need to calculate the total amount of gas consumed by both the current car and the hybrid car.
First, let's calculate the total number of miles driven by the individual in a year:
Total number of miles driven = 6060 miles/week x 52 weeks = 315,120 miles
Next, let's calculate the total amount of gas consumed by the current car in a year:
Gas consumption of current car = Total number of miles driven / Miles per gallon of current car
= 315,120 miles / 22 miles per gallon
= 14,323.64 gallons
Now, let's calculate the total amount of gas that will be consumed by the hybrid car in a year:
Gas consumption of hybrid car = Total number of miles driven / Miles per gallon of hybrid car
= 315,120 miles / 50 miles per gallon
= 6,302.4 gallons
Therefore, the individual will save:
Gas saved = Gas consumption of current car - Gas consumption of hybrid car
= 14,323.64 gallons - 6,302.4 gallons
= 8,021.24 gallons
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auggie bought 8 books. Some books cost $13 each and the rest of the books cost $24 each. They spent a total of $159. Write a system of linear equations that could represent the given situation
Answers
Answer: Let x be the number of $13 books that Auggie bought and y be the number of $24 books. Then we can represent the given information in the following system of linear equations:
x + y = 8 (the total number of books Auggie bought is 8)
13x + 24y = 159 (the total amount of money Auggie spent is $159)
This system of linear equations represents the given situation. We can use this system to find out how many books Auggie bought of each price by solving the system of equations.
The equation (1) represents the number of books that Auggie bought is 8, and equation (2) represents the amount of money he spent $159. This system of equations is a valid representation of the given situation because the values of x and y that satisfy the system of equations will be the number of $13 books and the number of $24 books that Auggie bought.
Step-by-step explanation:
Find the area and circumference for 1 and 2.
5. A
1.
14 yd
6.
Answers
I need the answers please can anyone solve this one?
Answers
Answer:
This is it.
HI=8
GH=15
GI=17
How to Convert 163 cm to Inches?
Answers
162 centimeters is equal to 63.7795 inches when converted. To convert from centimeters to inches, multiply the centimeter measurement by 0.393701.
To convert 162 cm to inches, begin by multiplying 162 cm by 0.393701. This is equal to 0.393701 x 162 = 63.7795. This is the exact number of inches in 162 cm. To make the conversion easier, remember that 1 cm is equal to 0.393701 inches. To convert centimeters to inches, simply multiply the centimeter measurement by 0.393701. For example, if you had 26 cm, you would multiply 26 by 0.393701 to get 10.236 inches. To convert inches to centimeters, simply multiply the inch measurement by 2.54. For example, if you had 10.236 inches, you would multiply 10.236 x 2.54 to get 26 cm. Therefore, 162 cm is equal to 63.7795 inches.
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How can you find f(2) if f(x) = -3x2 – 7?
Answers
Answer:
-3(2) x 2 -7 = -6x2-7 =-19
Step-by-step explanation:
The value of f(2) for the given function f(x) = -3x² – 7 will be -19.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
f(x) = -3x² – 7
Put x = 2
f(2) = -3(2)² - 7
f(2) = -2(4) - 7
f(2) = -8 - 7 = -15
Hence "The value of f(2) for the given function f(x) = -3x² – 7 will be -19".
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Seating Passengers A blue van and a red van, each having nine passenger seats, have arrived to take ten people to the airport. In how many different ways can the passengers be placed into the vans?
Answers
a) The number of ways in which the passengers can be seated in this case is 10.
b) The total number of ways is 10 + (10 choose 2) = 55.
To solve the given problem, we need to use the concepts of permutations. The problem asks to find out the number of ways in which ten passengers can be seated in two vans, each having nine passenger seats.
Let's consider two cases -
Case 1: Blue Van has 9 passengers and Red Van has 1 passenger:If one van has 9 passengers, then the other van will have only 1 passenger. Now, the problem becomes simple as we only need to select one passenger out of ten. There are ten ways to do this.
Therefore, the number of ways in which the passengers can be seated in this case is 10.
Case 2: Blue Van has 8 passengers and Red Van has 2 passengers:If one van has 8 passengers, then the other van will have 2 passengers.
Now, we need to select two passengers out of ten, which can be done in (10 choose 2) ways. This means that the number of ways in which the passengers can be seated in this case is (10 choose 2).
Now, to find the total number of ways in which the passengers can be placed into the vans, we need to add the number of ways obtained in both cases.
Therefore, the total number of ways is 10 + (10 choose 2) = 10 + 45 = 55.
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what is 12 ÷ 1 1/5 ?
Answers
Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change to an improper fraction
12 ÷ ( 5*1+1)/5
12 ÷ 6/5
Copy dot flip
12 * 5/6
12/6 * 5
2*5
10
Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change into an improper fraction.
12 ÷ 6/5
Reciprocal and it becomes multiplication.
12 × 5/6
60/6
= 10