30. The surface area of a rectangular prism is
450 m2. What will be the new surface area if
all the dimensions are doubled?
A. 675 m2
B. 900 m2
C. 1,800 m2
D. 3,600 cm
hevolume of a
Answers
Answer:
1800 m²
Step-by-step explanation:
The surface area of a prism is the sum of the areas of its faces.
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²
⇒ 2(LH + BH + LB) = 450 m²
Finding the surface area if the dimensions are doubled:
⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]
⇒ 2[(4LH) + (4BH) + (4LB)]
⇒ 2[4LH + 4BH + 4LB]
⇒ 2[4(LH + BH + LB)]
⇒ 2[2 × 2(LH + BH + LB)]
⇒ 2[2(450)] [2(LH + BH + LB) = 450 m²]
⇒ 2[900]
⇒ 1800 m² (Option C)
Related Questions
Can someone please help me with this ASAP? Show work!
Answers
The experimental probability of not selecting a peppermint candy is 77.78%, so the correct option is the third one.
How to find the probability?We want to find the experimental probability of selecting a candy that is not peppermint.
To get this, we need to get the difference between 1 and the probability of getting a peppermint candy, then we will get:
p = 1 - 2/9
p = 7/9
Now we want to express this as a percentage, so we need to multiply this by 100%
p = (7/9)*100%
p = 77.78%
We can see that the experimental probability is the one in the third option.
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Which measurement is closest to the volume of the sphere in cubic inches
Answers
Answer:
D
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = \(\frac{4}{3}\) πr³ ( r is the radius )
here diameter = 15 , then r = 15 ÷ 2 = 7.5 , so
V = \(\frac{4}{3}\) × π × 7.5³
= \(\frac{4}{3}\) × π × 421.875
= \(\frac{4\pi (421.875)}{3}\)
≈ 1767.1 in³ ( to the nearest tenth )
A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10 centimeters high, what is the length, in centimeters, of an edge of the cube?
Answers
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
\(Volume = a^{3}\) where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
\(Volume= (20)(5)(10)=1000\) cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
\(1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a\)
Thus the length of an edge of the cube is 10 centimeters
Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the
number of miles run, y.
(1, 2.5), (2, 4.2), (4,5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the
nearest tenth of a mile.
miles
O
day 3
Answers
Answer:
4.6
Step-by-step explanation:
The distance run on day 3 is about 5.9 miles.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
The data points given are:
(1,2.5), (2,4.2), (4.5,6), (6,7), (8,8.1), (10,11)
Note that the growth seems to be linear, therefore, find a linear equation for the data.
Use (1,2.5) and (2,4.2) to find the slope of the line:
m = (4.2-2.5)/(2-1)
m = 1.7
The equation of the line with slope m = 1.7 and passes through point (1, 2.5) is:
y - 2.5 = 1.7(x - 1)
y = 1.7x - 1.7 + 2.5
y = 1.7x + 0.8
Substitute x = 3 into the above equation:
y = 1.7(3) + 0.8
y = 5.9
Hence, the distance run on day 3 is about 5.9 miles.
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Figuring your family will only use the air conditioner for four months each year, how many years will you have to wait to start saving money overall?
Answers
a. The equation representing the cost of buying and operating the Super Cool X1400 is: C = 800 + 60m. b. The equation representing the cost of buying and operating the Efficient Energy X2000 is: C = 1200 + 40m. c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase. d. Figuring your family will only use the air conditioner for four months each year, you would have to wait 5 years to start saving money overall.
a. The cost of buying the Super Cool X1400 is a one-time expense of $800. Additionally, the cost of operating it is $60 per month. Therefore, the equation representing the cost C as a function of months m is C = 800 + 60m.
b. The cost of buying the Efficient Energy X2000 is a one-time expense of $1200. The operating cost is $40 per month. Hence, the equation representing the cost C as a function of months m is C = 1200 + 40m.
c. To compensate for the additional cost of the original purchase (which is $400), we equate the two cost equations and solve for m:
800 + 60m = 1200 + 40m
20m = 400
m = 20
Therefore, your family would have to use the Efficient Energy model for 20 months (or 10 months more than the Super Cool X1400) to compensate for the additional cost.
d. Considering your family only uses the air conditioner for four months each year, we divide the total number of months (20) by four to find the number of years needed to start saving money overall:
20 months / 4 months/year = 5 years
Hence, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.
a. The cost of buying and operating the Super Cool X1400 is represented by the equation C = 800 + 60m.
b. The cost of buying and operating the Efficient Energy X2000 is represented by the equation C = 1200 + 40m.
c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase.
d. Assuming your family uses the air conditioner for four months each year, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.
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complete question- Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years ill you have to wait to start saving money overall?
Consider the two vectors,
A
=−4.20
i
^
+−2.05
j
^
and
B
=−1.76
i
^
+−4.98
j
^
. =25% Part (a) What is the magnitude of
C
=
A
+
B
? C=926✓ Correct! 25% Part (b) What is the direction of
C
=
A
+
B
expressed in degrees below the negative x axis? Make sure your answer is positive (etheta) =49.8 Correct! 525\% Part (c) What is the magnitude of
D
=
A
−
B
? D=9253× Attempts Remain \$25\% Part (d) What is the direction of
D
=
A
−
B
expressed in degrees above the negative x axis? Make sure your answer is positive.
Answers
A. The magnitude of vector C is 4.676.
B. The direction of vector C, expressed in degrees below the negative x-axis, is 153.82 degrees.
C. The magnitude of vector D is 4.676.
D. The direction of vector D, expressed in degrees above the negative x-axis, is 26.18 degrees.
To calculate the magnitude and direction of vector C = A + B, and vector D = A - B, use the following formulas:
Magnitude:
C= √(Cx² + Cy²)
D = √(Dx² + Dy²)
Direction:
θ = tan²(-1)(Cy / Cx)
θ = tan²(-1)(Dy / Dx)
Given the components of vectors A and B:
A = -4.20i² - 2.05j²
B = -1.76i²- 4.98j²
Let's calculate each part:
(a) Magnitude of C = |C|:
Cx = -4.20
Cy = -2.05
C= √((-4.20)² + (-2.05)²)
= √(17.64 + 4.2025)
= √21.8425
≈ 4.676
(b) Direction of C = θ:
θ = tan²(-1)(-2.05 / -4.20)
≈ 26.18 degrees
Since the question asks for the direction below the negative x-axis, we can subtract this angle from 180 degrees to get:
θ = 180 - 26.18
≈ 153.82 degrees
(c) Magnitude of D = |D|:
Dx = -4.20
Dy = -2.05
|D| = √((-4.20)² + (-2.05)^2)
= √(17.64 + 4.2025)
= √21.8425
≈ 4.676
(d) Direction of D = θ:
θ = tan²(-1)(-2.05 / -4.20)
≈ 26.18 degrees
Since the question asks for the direction above the negative x-axis to make any adjustments.
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kirk made a scale drawing of the elementary school. the scale of the drawing was 3 millimeters : 4 meters. if the actual width of the schoolyard is 60 meters, how wide is the schoolyard in the drawing?
Answers
The width of the schoolyard in the drawing is 45 millimeter.
In the given statement is ,
kirk made a scale drawing of the elementary school. the scale of the drawing was 3 millimeters : 4 meters. if the actual width of the schoolyard is 60 meters.
To find the how wide is the schoolyard in the drawing
Now, According to the question:
and, Based on the given condition
Let width of the schoolyard in the drawing be x
So, 3 : 4 = x : 60
[If b/a = d/c, ad = bc]
3/4 = x/60
3 x 60 = 4x
x = 180/4
x = 45 millimeters
Hence, The width of the schoolyard in the drawing is 45 millimeter.
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Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used.
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.
8.9%
250 89%
W
40 =
Decay
250 (0.89)
Initial Value::
Growth or Decay::
Growth/Decay Rate::
11%
F
40
Growth
250 =
111%
40(1.11)
Initial Value:
Growth or Decay:
Growth/Decay Rate::
Answers
The equation is y = 250(0.89)^x and the decay rate is 11%.
How to calculate the values?The initial value will be:
= 250(0.89)^x
= 250(0.89^0)
= 250
The decay rate will be:
= 1 - 0.89
= 0.11
= 11%
In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.
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Question 18 of 25
Use the quadratic formula to find the solutions to the quadratic equation
below. Check all that apply.
4x²-x-5=0
OA. 2/2
B. 1
-4
c./
D.
E.
NIM
3
MIN
2
F. -1
Answers
Answer:
The value of x for the equation \(4x^2-x-5=0\) would be \(5/4\) or -1.
Step-by-step explanation:
Step 1: Factor the left side of the equation.
\((4x-5)(x+1)=0\)
Step 2: Set factors equal to 0.
\(4x-5=0\) or \(x+1=0\)
Therefore, we get:
\(x=5/4\) or \(x=-1\)
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Which linear inequality is represented by the graph?
Answers
I may be wrong but at least I tried
the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?
Answers
True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.
The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.
The p orbitals have a shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.
So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.
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What is the margin of sampling error if p=16% and n=400?Formula : ME=2 √p(1-p)/nOptions : 1- about 2% 2- 3% 3- 4% 4- 5%5- 6%
Answers
Given:
p = 16%
and, n = 400
We will find the margin of sampling error
The formula to find the margin of sampling error will be:
\(ME=2\sqrt[]{\frac{p(1-p)}{n}}\)substitute with (p) and (n):
\(ME=2\sqrt[]{\frac{0.16\cdot(1-0.16)}{400}}=0.03666\cdot100\%=3.666\%\)Rounding to the nearest whole percent
So, the answer will be 4%
Let A=(1-2) 23 = be the standard matrix representing the linear transformation L: R2 → R2. Then, - (2")=(-3) ' Select one: : True False
Answers
To determine the validity of this statement, we need to apply the transformation represented by the matrix A to the vector -(2"). The statement -(2") = (-3)' is false
The statement "A = (1 -2) 23 = be the standard matrix representing the linear transformation L: R2 → R2" implies that A is the standard matrix of a linear transformation from R2 to R2. The question is whether -(2") = (-3)' holds true.
To determine the validity of this statement, we need to apply the transformation represented by the matrix A to the vector -(2").
Let's first calculate the result of A multiplied by -(2"):
A * -(2") = (1 -2) * (-(2"))
= (1 * -(2") - 2 * (-2"))
= (-2" + 4")
= 2"
Now let's evaluate (-3)':
(-3)' = (-3)
Comparing the results, we can see that 2" and (-3)' are not equal. Therefore, the statement -(2") = (-3)' is false.
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In a large tank of liquid, the pressure at a given depth is a function of
Answers
In a large tank of liquid, the pressure at a given depth is a function of the density of the liquid and the depth itself. The pressure increases with increasing depth due to the weight of the liquid above.
The pressure in a liquid increase with depth because of the weight of the liquid above exerting a force downwards. This phenomenon is known as hydrostatic pressure. The pressure at a given depth in a large tank of liquid can be determined using the equation P = ρgh, where P is the pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the depth.
The density of the liquid plays a crucial role in determining the pressure. Denser liquids have more mass per unit volume, resulting in higher pressures at the same depth compared to less dense liquids. Additionally, the depth itself contributes to the pressure as the weight of the liquid column above increases with depth. Thus, the pressure in a large tank of liquid is a function of both the density of the liquid and the depth.
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y=-7/4x = + 7 graph it
Answers
Answer:
see image below
In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a student chosen randomly from the class has a cat?
Answers
Answer:
from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30
14/30
7/15
7/15 as a percent is 46.6667%
Last year, 240 new houses were built in a neighborhood. So far this year,
5
of them have been sold. How many new houses have been sold this year?
write your answer in simplest form.
Answers
Answer: 0 have been sold this year last year 5 were sold so there is 235 left
Step-by-step explanation:240-5=235
Answer:
At least 5 that were built last year were sold, but we cannot know how many in total were sold this year. Trick question.
Graph f(x)=−12x−5 .
Use the line tool and select two points to graph the line.
Answers
Answer:
This will work i put a graph image here
Step-by-step explanation:
Answer: The attachment I added is actually the correct answer. The green line is the right one.
Fahad is 140 cm tall. Fareed is 1090 mm tall.
Who is taller? How much taller?
Answers
Answer:
Fahad is taller with 31 centimeters
Step-by-step explanation:
1090mm=109cm
Fahad is taller than Fareed by 31 centimeters.
1090 mm = 109 cm
140 cm - 109 cm = 31 cm
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Jeff spent $50 on gifts for his tamily. The first 2 items cost a total of $15 and then he bought 2 more for a total of $20. How many additional gifts did Jeff buy if their average cost was $10 each?
Answers
The number of additional gifts Jeff can buy with the remaining cost is 1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
Total cost = $15 + $20 = $35
Total spent = $50
Remaining = $50 - $35 = $15
Since one gift cost $10
Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.
Hence "With the money still available, Jeff can purchase 1 more present".
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y=
y=
\,\,-4x
−4x
y=
y=
\,\,3x+28
3x+28
Answers
answer:
don't know, don't worry
mark me as brainlist
i need help asap pls help im on a time limit so pls help me
Answers
Answer:
What is even the question?
Step-by-step explanation:
Which of the following is a graph of the solutions of 2x<24 or x-6>13
Answers
We want to find the graph that corresponds to our system of inequalities below
\(\begin{gathered} 2x<24 \\ x-6>13 \end{gathered}\)To solve this system of inequalties, we can divide the first one by 2 on both sides
\(\begin{gathered} 2x<24 \\ \frac{2x}{2}<\frac{24}{2} \\ x<12 \end{gathered}\)And add 6 to both sides of the second inequality
\(\begin{gathered} x-6+6>13+6 \\ x>19 \end{gathered}\)Our system of inequalities is
\(\begin{gathered} x<12 \\ or \\ x>19 \end{gathered}\)The graph that correspond to thsi system of inequalities is the graph B.
Determine the quotient of 2 over 5 divided by 3 over 4. (2 points)
PLS I NEED HELP FAST PLS
Answers
Answer:
8 over 15
Step-by-step explanation:
you should get a calculator.
Answer:
8/15
Step-by-step explanation:
Evaluate the expression when x=-6.
x^2-9x+4
Answers
Answer:
- 14
Step-by-step explanation:
x = - 6
x^2 - 9x + 4
= ( - 6 )^2 - 9 ( - 6 ) + 4
= 36 + 54 - 4
= 36 - 50
= - 14
Answer:
\(94\)
Step-by-step explanation:
\(x^2 - 9x + 4\)
\((−6 {)}^{2} −9 (−6) + 4\)
\(36 − 9 (−6) + 4\)
\(36 + 54 + 4\)
\(90+4\)
\(94\)
Hope it is helpful....which expression is a possible leading term for the polynomial function graphed below? –18x14 –10x7 17x12 22x9
Answers
Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.
The leading term of a polynomial function is the term containing the highest power of the variable. Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.
The degree of a polynomial function is the highest degree of any of its terms.
If a polynomial has only one term, then the degree of that term is the degree of the polynomial and is also called a monomial.
For example, consider the given function:Now, observe the degree of the function, which is 14, as the highest exponent of the function is 14.
Thus, the term containing the highest power of the variable x is -18x¹⁴.
Therefore, among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.
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please help me :( If you traveled 6,000,000,000 miles into outer space, you would be about one-fourth of the way to Venus. Write this measurement in scientific notation.
A. 6 x 106 miles
B. 60 x 106 miles
C. 6 x 109 miles
D. 60 x 109 miles
Answers
The given measurement in scientific notation as \(6\times10^9\). Therefore, option D is the correct answer.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as \(1.56\times10^7\).
The given distance is 6,000,000,000 miles.
There are 9 zeros in the given number
So, scientific notation is \(6\times10^9\)
Therefore, the number in scientific notation is \(6\times10^9\).
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Which phrase describes the algebraic expression n + 14?.
Answers
cade wants to learn more about chipmunks which of the following statistical question cade could ask
Answers
Answer:
B is the best choice
Step-by-step explanation:
A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.
With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.
Answer:
B 100% I just took the test
If someone can tell me the answer and how they got it that would be great
Answers
Answer:
A
Step-by-step explanation: You have two variables, the time and the number of cartons. If time wasn't a variable here, the number of cartons would remain static. You need time, otherwise there would be no change. Now that you know there are two variables, the last two choices must not be correct. Between A and B, the difference is that A says every dip is a purchase and B says every horizontal line is a purchase. Obviously, a horizontal line doesn't mean a purchase; it means the time gone WITHOUT a purchase. This leaves you with A.