The Surface area of the new cube is 9/16 times the surface area of cube
What is an equation?An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.
Let l represent the length of the side of the cube. Hence:
Surface area of cube = 6 * (length * length) = 6(l * l)
Surface area of cube = 6l²
The cube is dilated by a scale factor of 3/4 to create a new cube
Hence:
Length of new cube = scale factor * length = (3/4) * l = 3l/4
Surface area of new cube = 6 * (length * length) = 6(3l/4 * 3l/4)
Surface area of new cube = 6l²(9/16) = (9/16) * surface area of old cube
The Surface area of the new cube is 9/16 times the surface area of old cube
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Add This Equation: In Photo...
Answer:
see below
Step-by-step explanation:
= (5+7) / ( z+1) = 12 / (z+1)
Find the missing angle in the triangle,
x°
36°
111°
Answer:
33°
Step-by-step explanation:
you add the two numbers together and subtract from 180° to get your answer
Some triangles can have more than one right angle true or false
Answer:
False
Step-by-step explanation:
Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.
Describe the error in the work shown below.
Find an expression equivalent to 18 + 30.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
18 + 30 = 6(3 + 10)
pls help
Answer:
The equation at the end should be written like this
18 + 30 = 3(6 + 10)
Step-by-step explanation:
the 3 and 6 should be swapped
Answer:
30 was incorrectly factored
Step-by-step explanation:
From your lists, you can see that common factors of 18 and 30 include ...
2, 3, 6
So any of these can be factored out of the expression.
18 = 2·9; 30 = 2·15 ⇒ = 2(9 +15)
18 = 3·6; 30 = 3·10 ⇒ = 3(6 +10)
18 = 6·3; 30 = 6·5 ⇒ = 6(3 +5)
The error is that the work was not checked. Factoring of 18 is correct, but the factoring of 30 is not correct.
The error can be corrected by using an appropriate factoring.
swapping "3" and "6": 18 + 30 = 3(6 +10)
properly factoring 6 from 30: 18 +30 = 6(3 +5)
Help asap!!!!!!!!!
Please!
Answer:
multiply both sides by 2
Step-by-step explanation:
you mtiply because you are doing the opposite of division. the f and the 2 are being divided.
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
11. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? O A $0.41 O B.$3.73 O c.$3.91 O D.$4.55
The area of the base of a square pyramid is 36 in². The height of each triangular face of the pyramid is 4 in.
What is the surface area of the pyramid?
72 in²
84 in²
96 in²
108 in²
Answer:
the answer is option (B) 84 in².
Step-by-step explanation:
The surface area of a square pyramid can be calculated by finding the sum of the areas of the four triangular faces and the base.
The area of the base is given as 36 in². Since the base is a square, we can find the length of one side of the base by taking the square root of the area:
sqrt(36 in²) = 6 in
Therefore, the length of one side of the base is 6 in.
To find the area of one of the triangular faces, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
In this case, the base is equal to the length of one side of the square base, or 6 in. The height is given as 4 in.
Area = 1/2 * 6 in * 4 in = 12 in²
So the area of one triangular face is 12 in².
The total surface area of the pyramid is:
Surface area = 4 * 12 in² + 36 in² = 84 in²
Therefore, the surface area of the pyramid is 84 in².
So the answer is option (B) 84 in².
Describe the transformations from the parent y=1/x :
y=3/x+5 -3
The transformations to the parent function are given as follows:
Vertical stretch by a factor of 3.Translation left 5 units.Translation down 3 units.How to obtain the transformations?The parent function for this problem is given as follows:
y = 1/x.
The transformed function for this problem is given as follows:
y = 3/(x + 5) - 3.
Hence the transformations to the parent function are given as follows:
Vertical stretch by a factor of 3. -> multiplication by 3 in the numerator.Translation left 5 units, as x -> x + 5.Translation down 3 units, as y -> y - 3.More can be learned about transformations at https://brainly.com/question/28687396
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Four times the difference of 11 and a number gives 60. Find the number.
Step-by-step explanation:
Suppose a number = A
4(11-A) = 60
(11 - A) = 60/4
11 - A = 15
11 = A + 15
A + 15 = 11
A = 11 - 15
= -4
Four times the difference of 11 and a number 26 gives 60.
What is difference of number?It is a kind of gap between two numbers
Example: difference between 19 and 5,
that is | 19 - 5 | = | 5 - 19 | = 14.
Difference can be calculated between two numbers only.
Let the number be x
According to question
4 ( x - 11 ) = 60
x - 11 = 60/4
x - 11 = 15
x = 15 + 11
x = 26
Hence, Four times the difference of 11 and a number 26 gives 60.
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Andrew left his house at time zero and drove to the store, which is 10 blocks away, at a
speed of 5 blocks per minute. Then he stopped and went into the store for 2 minutes.
From there, he drove in the same direction at a speed of 5 blocks per minute until he
got to the bank, which is 10 blocks away from the store. He stopped at the bank for 3
minutes. Then he drove home at a speed of 4 blocks every minute. Make a graph of
showing the number of blocks away from home that Andrew is 2 minutes after he
leaves his house, until he gets back home.
the graph of Andrew's distance from home will look like this: Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10 Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
What is graph?Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.
From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.
At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).
When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).
Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).
Therefore, the graph of Andrew's distance from home will look like this:
Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10
Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
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PLEASE ANSWER THIS QUESTION RIGHT The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood
picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They
spent $20 for the buns. Create and solve a system of equations that can be used to find the number of
packages of each type of bun purchased.
maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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if f is a function from R to R such that f(x)f(y)=f(x+y)+f(z-y) and f(1)=3, then what is the value of f(7)?
I suppose you mean
\(f(x) f(y) = f(x + y) + f(x - y)\)
Let \(x=1\) and \(y=0\). Then
\(f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2\)
Now if we fix \(y=1\), the functional equation reduces to the recurrence relation
\(f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0\)
and we can find \(f(7)\) with a few rounds of substitution.
\(x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7\)
\(x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18\)
\(x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47\)
\(x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123\)
\(x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322\)
\(x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}\)
the equation 3s equals 21 can be used to find the number of students s in each van on a field trip how many students are in each van
Answer:
to be honest I don't know sorry
PLEASE HELP WILL MARK BRAINLIEST VERY IMPORTANT
Answer:
a reflection over the x axis and moved 3 squares to the left
Step-by-step explanation:
Solve the following equation.
5x + 8 - 3x = -10
о
X = -9
O
X = -1
X = 1
O
X = 9
Help
Answer:
-9
Step-by-step explanation:
5x-3x=-10-8
2x= -18
x=-18/2
= -9
Solution of the expression is,
⇒ x = - 9
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Equation is,
⇒ 5x + 8 - 3x = -10
Now, We can simplify as;
⇒ 5x + 8 - 3x = -10
⇒ 2x = - 10 - 8
⇒ 2x = - 18
⇒ x = - 18/2
⇒ x = - 9
Thus, Solution of the expression is,
⇒ x = - 9
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Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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Would anyone help me with this,please ?
Answer:
angle 2 and 4....1and 3
Step-by-step explanation:
the lines bisects each other forming two equal but adjacent angles which are vertically opposite
The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:
A)
A = 4w2 – 3w
B)
A = w2 – 4w
C)
A = 3w2 – 4w
D)
A = 3w2 – w
Answer:
C) A = \(3w^{2} - 4w\)
Step-by-step explanation:
First, read through what the question is asking.
Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )
Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).
So, the length is equal to:
l = 3w - 4
and the width is equal to:
w = w
The area of a rectangle is A = l * w
Let's plug in the values.
A = (3w - 4) * w
Now, simplify:
A = \(3w^{2} - 4w\)
A = \(3w^{2} - 4w\) is your final answer.
I hope this helps!
Select all the intervals that are only increasing throughout the function
The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.
Given function:
f(x) = \(\sqrt{x-4}\)
x - 4 = 0
x = 0+4
x = 4
So x is increasing from 4 to infinity.
That is.
4 < x
x < ∞
4 < x < ∞ and 12 < x < ∞
Therefore The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.
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In the equation y = -2x + 5, what is the average rate of change (slope)?
a. 5
b. 2
c. -2x
d. -2
please explain
Answer:
-2
Step-by-step explanation:
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Select all statements that must be true.
Step-by-step explanation:
the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor
Options 2nd, 3rd and 4th are correct options.
What are similar objects?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
As we know, in similar objects, the ratio of corresponding sides are equal.
Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'
Hence, Options 2nd, 3rd and 4th are correct options.
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Miriam and Ruth are each individually applying for an $8,000, 24-month personal
loan. Miriam and Ruth have FICO credit scores of 625 and 775, respectively, but
otherwise have similar loan applications. One of them was offered a 24-month loan
at a 12% annual interest rate, while the other was offered a 24-month loan at a
21% annual interest rate. Which person is more likely to have been offered which
loan?
Answer:
Miriam
Step-by-step explanation:
Miriam, with her lower FICO score, is more likely to have been offered the loan with the higher interest rate.
You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
A daily newspaper has a circulation of 3679000 copies per day. If 1 days papers are distributed evenly among 13 cities, how many copies would each city recipe?
283,000 newspaper copies will be distributed among the 13 cities evenly.
How is simple division calculation done?Out of the four basic mathematical operations, division is frequently regarded as the most challenging. Once we fully comprehend the procedure and guidelines, we can use a calculator without error to perform increasingly challenging calculations.
We can divide or "share" numbers using division to arrive at an answer. Take 10 ÷ 2 as an example. How would we arrive at the solution? (ten divided by two). This is equivalent to "sharing" 10 candies between 2 kids. The total quantity of candies that each child receives must be the same. The solution in this instance is 5.
No. of newspaper circulated a day = 3,679,000
No. of cities to be distributes among = 13
No. of newspaper a city will receive = 3,679,000/ 13
= 283,000
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statistics that specify how likely findings are to be true for other populations or in other locales is called statistics.
The study of data collection, analysis, presentation, and interpretation is known as statistics.
Given,
What is statistics?
Data collection, analysis, presentation, and interpretation are all part of the science of statistics. Much of the early motivation for the subject of statistics came from governmental needs for information on a variety of economic activity and census data.
Types of statistics;
Based on the characteristics, the various statistical kinds are divided: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as using pie charts, bar graphs, or tables.
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On a number line what is the distance between 16 and -25
What is a relation and what makes it different from a function? How can you determine the domain and range of a function?
Answer:
Note that both relations and functions have domains and ranges. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Solve the system of equation using elimination
Answer:
To Solve a System of Equations by Elimination
Write both equations in standard form. ...
Make the coefficients of one variable opposites. ...
Add the equations resulting from Step 2 to eliminate one variable.
Solve for the remaining variable.
Substitute the solution from Step 4 into one of the original equations.
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