A. 168 m3
Step-by-step explanation:
V = Bh
V = 24(7)
V = 168 m3
Answer:
i really dont know bro
Step-by-step explanation:
Sample response: Start by calculating the volume of the original prism. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3. Now, if you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3. To compare, look at the ratio of the original prism to the new prism: 96/1,920 = 1/8. The volume increases by 8 times the original volume.
What is the radius of the circle given by the equation below?
x2 + 12x + y2 - 12y = -56
A. 2
B. 16
C. 4
D. 8
Answer:
C
Step-by-step explanation:
First, you gotta complete the square!
x^2+12x+36 = (x+6)^2
y^2-12y+36 = (y-6)^2
So, we have (x+12)^2 + (y-6)^2 = -56 + 36 + 36
The right side of the equation is the radius^2.
Simplify:
-56 + 36 + 36 = 16
The square root of 16 is 4, so the answer is C!
Which of the following formulas could be used to find the perimeter, P, of a regular hexagon? plz
Answer:
Just add up all the sides and you get the perimeter.
Find the domain of the rational function 9x/(x+5)(x+3)
Answer:
the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[
Step-by-step explanation:
hello :
f(x) = 9x/(x+5)(x+3)
f exist for : (x+5)(x+3) ≠ 0
(x+5)(x+3)=0
x+5=0 or x+3=0 means : x= - 5 or x= -3
the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[
Write an expression for the sequence of operations described below.
divide w by 3, then subtract 10 from the result
Do not simplify any part of the expression.
Answer:
(w/3)-10
Hope this helps!
w/3 - 10 is an expression for the above-described series of operations.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given, divide w by 3, then subtract 10 from the result Do not simplify any part of the expression.
We need to Create an expression for the above sequence
divide w by 3
=> w/3
then subtract 10
=> w/3 - 10
Since it's written in the problem that does not simplify hence, we would simplify this equation further.
Therefore, an expression for the sequence of operations described above is w/3 - 10
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A group of students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with high interest? A) 30% B) 50% C) 40% D) Cannot be de
Answer:
Relative frequency is the number of times an envent has occured.
When finding out the number of students with high interest you would take 30/100 because there was 30 students with high frequency and 100 students all together.
30/100=30%
A)30%
Hope this helps ;)
The relative frequency of students with high interest in the new International Studies program is 30%. This is calculated by dividing the number of high interest responses (30) by the total number of responses (100), and multiplying the result by 100.
Explanation:The question asks us to calculate the relative frequency of students with high interest in the new International Studies program. To do this, we divide the number of students with high interest by the total number of students surveyed.
The total number of students polled is 30 (high interest) + 50 (medium interest) + 20 (low interest), which equals 100 students. So, to calculate the relative frequency for students with high interest, we divide the number of students with high interest (30) by the total number of students surveyed (100).
The calculation is as follows: (30 / 100) * 100 = 30%
Therefore, the relative frequency of students with high interest is 30%, which corresponds to option A in your multiple choice question.
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3x-4y=1 and x=2y+1 using substitution
Answer:
x =-1
y =-1
Step-by-step explanation:
to solve this system of equation, using substiution method
3x-4y=1 ........................ equation 1
x=2y+1 ............................ equation 2
subbstitute for x into equation 1
3x-4y=1 ........................ equation 1
3(2y + 1) - 4y = 1
6y + 3 -4y = 1
2y + 3 = 1
collect the like terms
2y = 1- 3
2y= -2
divide both sides by the coefficient of y which is y
2y/2 = -2/2
y = -1
put the value of y =-1 into equation 2
x=2y+1 ............................ equation 2
x = 2(-1) + 1
x = -2 + 1
x = -1
therefore x =-1 y = -1
If you flip a coin and roll a six sided die what is the probability that you flip a heads and roll a five?
Answer:
you have a 50-50% of landing heads and a 5 out 6 % chance of rolling a 5
Step-by-step explanation:
Answer: 1/12
Step-by-step explanation:
I need help:
The width of this rectangle is 1/3 of the length. Find the length and the width of the rectangle.
Answer:
3(y-4) =2y+6
3y - 12 = 2y +6
y = 18
so length is 42 in.
width is 14 in.
After solving the given equations, the length of the rectangle is 42 inches and the width of the rectangle is 14 inches.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
The given data in the question,
According to the given diagram,
Length of the rectangle, L = 2y + 6 inches (i)
Width of the rectangle, W = y - 4 inches (ii)
The width of the rectangle is 1/3 of the length,
1/3(2y + 6) = (y - 4)
2y + 6 = 3y - 12
y = 18.
Substitute y = 18 in equation (i)
L = 2(18) + 6
L = 42 inches
Substitute y = 18 in equation (ii)
W = (18 - 4)
W = 14 inches.
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What is the scale factor ASAP
and why
Answer:
The SF is 2/3
Step-by-step explanation:
You can find this out by creating a ratio between the points and it's image. The one with the apostrophe is the image, and the bigger one is the pre-image.
If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least __ hours walking dogs.
Final answer:
If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least [answer] hours walking dogs.
Explanation:
To determine the minimum number of hours Ezra must spend walking dogs when he works less than or equal to 50 hours doing lawn care, we need to refer to the given information and apply it to the situation
According to the exercise, Louis requires one hour to cut a typical lawn, while Carrie Anne needs one and one-half hours. Therefore, Louis is more efficient at cutting grass. Carrie Anne, on the other hand, can wash a car in half an hour, while Louis requires three-quarters of an hour. So, Carrie Anne is more efficient at cleaning cars.
If they each specialize in the task they are most efficient at, Louis should cut the grass, and Carrie Anne should wash cars. This way, they can maximize their output in a given amount of time.
Now, if they each work a twelve-hour day, we can calculate how many lawns they can cut and how many cars they can wash based on their efficiency. Louis can cut 12 lawns (since he requires 1 hour per lawn), and Carrie Anne can wash 24 cars (since she can wash a car in 0.5 hours).
Therefore, if they specialize in their most efficient tasks, they can cut 12 lawns and wash 24 cars in a twelve-hour day.
Answer:
IT IS 35
Step-by-step explanation:
What is the length of Line A B? On a coordinate plane, point A is (negative 4, 3), point B is (2, 3), and point C is (2, negative 1). 4 units 5 units 6 units 7 units
Answer:
6 units
Step-by-step explanation:
Answer:
6 units
Step-by-step explanation:
A car traveling 9/10 of a mile per minute will travel _____ miles in 10 minutes
Answer:
It will travel 9 miles in 10 minutes
Step-by-step explanation:
A car travels 9/10 miles/minute
In 10 minutes, it will travel
10*9/10 = 9 miles
Final answer:
A car traveling at 9/10 of a mile per minute will travel 9 miles in 10 minutes by simply multiplying the car's speed by the time traveled.
Explanation:
To calculate how far a car traveling at a speed of 9/10 of a mile per minute will travel in 10 minutes, we simply multiply the speed of the car by the amount of time it travels.
Speed of car = 9/10 mile/minute
Time = 10 minutes
Distance traveled = Speed of car × Time
Distance traveled = (9/10) mile/minute × 10 minutes
Now we perform the multiplication:
Distance traveled = 9/10 × 10
Distance traveled = 9 miles
(giving 30 points/need answers STAT!!)
Four transformations of the function f(x) = 3x + 2 are given below.
For each transformation, drag the expression that shows the result of that transformation into the box under it.
Transformations can be applied to functions to change the appearance of
the (slope and intercept) of the function.
The result of the transformation are presented as follows;
[tex]\begin{tabular}{|c|c|c|c|}f(x-5)&f(x) - 5&-5 \cdot f(x) &f(-5\cdot x)\\3\cdot (x - 5) + 2&3 \cdot x - 5 + 2&-5\cdot (3 \cdot x + 2)&3 \cdot (-5\cdot x) + 2 \end{array}\right][/tex]Reasons:
The given function is; f(x) = 3·x + 2
The function -5·(3·x + 2) is the same as -5 × f(x) = -f(x)
Therefore;
-5·(3·x + 2) → -5·f(x)
The function 3·x - 5 + 2 = 3·x + 2 - 5 = f(x) - 5
Therefore;
3·x - 5 + 2 → f(x) - 5
The function 3·(x - 5) + 2 by comparison to 3·x + 2 is obtained when x is replaced by (x - 5), therefore;
f(x) = 3·x + 2
f(x - 5) = 3·(x - 5) + 2
3·(x - 5) + 2 → f(x - 5)
The function 3·(-5·x) + 2 is obtained when x in f(x) is replaced by (-5·x),
which gives;
f(x) = 3·x + 2
∴ f(-5·x) = 3·(-5·x) + 2
Which gives;
3·(-5·x) + 2 → f(-5·x)
The completed table is therefore;
[tex]\begin{tabular}{|c|c|c|c|}f(x-5)&f(x) - 5&-5 \cdot f(x) &f(-5\cdot x)\\3\cdot (x - 5) + 2&3 \cdot x - 5 + 2&-5\cdot (3 \cdot x + 2)&3 \cdot (-5\cdot x) + 2 \end{array}\right][/tex]
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y = |x| translated one unit upward
Answer:
y = |x| + 1
Step-by-step explanation:
Answer:
y = |x| + 1
Step-by-step explanation:
Think about it first just in your head: if we want to translate up, that means every input (x) needs to be increased by one. The way to do this is by adding 1 outside of the absolute value sign!
You can also graph it online or on your calculator if you're confused!
Re-write the quadratic function below in Standard Form
y = -7(x + 9) (x - 1)
Answer:
-7x squared -56x+63.
Step-by-step explanation:
Hope this helps!
Which point on the number line represent 42?
A.P
B.Q
C.R
D.S
Answer:
Q
Step-by-step explanation:
because 42 square rooted is between 6 and 7.
Circle Q has a circumference of approximately 50 centimeters.What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter.
Answer:
15.92
Step-by-step explanation:
50 ÷ 3.14 = 15.92
Nancy goes out to lunch with. Jason and tim the total bill came to 27 dollars they decided to split the bill how much will each person pay?
Answer:
$13.5
Step-by-step explanation:
27/2 = 13.5
-1/2x>4 solve for x
Answer:
X<-8
Step-by-step explanation:
-1/2x>4
Multiple both sides by -2
-2(-1/2)x<-2(4)
Multiple even numbers of negative terms
2(1/2)x<-2(4)
Cancel out the 2
(2 this is out)(1/(2 this is out))x<-2(4)
x<-2×4
Multiple
x<-8
Grace had 4 3/8 yards of elastic. She used 1 2/3 yards of the elastic to make bracelets for her friends. How many yards of elastic does she have now?
6 1/24 yards
3 7/24 yards
2 17/24 yards
3 17/24 yards
Answer:
Exact form: 65/24
Decimal form: 2.7083
Mixed number form: 2 17/24
Step-by-step explanation:
4 3/8 - 1 2/3 = 2 17/24
I’m lost and unsure what is the first step to do find width of da roof
Answer:
You set up an equation, using the trig function "tan" to find half of the roof (the equation would be tan(24) = 3.5/x, where x = 1/2 roof width)
Step-by-step explanation:
That would be the first step.
You solve the equation for x, and then multiply x by 2 to get the width of the roof.
how do you select a month of the year at random what is the probability that the month ends with the ER
Answer:
4/12 or 1/3
Step-by-step explanation:
Answer:
1:3 or 1/3
Step-by-step explanation:
September, October, November, December
4 moths out of twelve
4/12 reduces to 1/3
The answer could be written 1/3 or 1:3.
A block is set in motion hanging from a spring and oscillates about its resting position
x = 0
according to the function
x = 0.6sin(2t)+0.4cos(2t),
where x is in centimeters and t is in seconds. For what values of t in the interval [0,3] is the block at its resting position
x =0?
Answer:
t = 1.277 sec and t = 2.848 sec
Step-by-step explanation:
This problem is much more easily done by graphing it than by computing it using algebra.
The values of t we're looking for are the ones that make x = 0, so we want the solutions of [tex]0.6sin(2t)+0.4cos(2t)=0[/tex] on the interval [0, 3].
According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.
Answer:
t = 1.28, 2.85
Step-by-step explanation:
x = 0.6sin(2t)+0.4cos(2t)
x = 0, so
0.6sin(2t)+0.4cos(2t) = 0
0.6sin(2t) = -0.4cos(2t)
Convert into tan(2t) by dividing both sides by 0.6cos(2t):
tan(2t) = -0.4/0.6
tan(2t) =-2/3
Since t lies in [0,3] ,
2t lies in [0,6]
tan(2t) =-2/3
Basic angle:
0.5880026035
Tan is negative is second and fourth quadrants
2t = 2.553590005, 5.695182704
t = 1.276795025, 2.847591352
What is the positive negative square roots of 64?
The answer explains the positive and negative square roots of 64.
When dealing with the square roots of a number like 64, remember that the square root of 64 is 8, both positive and negative. This is because (-8) x (-8) equals 64 just like (8) x (8) equals 64, following the rule that multiplying two negative numbers results in a positive number.
Which sample size of a population of 200 is most likely to give a reliable conclusion?
Therefore, the sample size of a population of 200 is most likely to give a reliable conclusion is 80.
Answer:
80
Step-by-step explanation:
What’s does X-3 times X+5 equal
Answer:
x² + 2x - 15
Step-by-step explanation:
Given
(x - 3)(x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 5) - 3(x + 5) ← distribute both parenthesis
= x² + 5x - 3x - 15 ← collect like terms
= x² + 2x - 15
Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Answer:
Step-by-step explanation:k so high school total should be 100%
middle school not taken SAT should be 63%
high school have taken SAT should be 96%
basically just use your basic math. Turn the problem around and take the total(100%) and subtract what number you already know. So like This:
100-37=63
100-4=96
The subject of this question is SAT and it is related to middle school and high school. The answer provides an explanation of the survey results regarding students taking the SAT.
Explanation:The subject of this question is SAT. The grade level of this question is Middle School, High School.
The table provided shows the survey results of whether middle school students and high school students have taken the SAT. From the information given, we can determine the missing values in the table:
Middle School Students Taken SAT = 37%
High School Students Not Taken SAT = 4%
*Please note that the table was not provided with the question, so we are unable to fill in the missing values.
The bedroom is 13ft. by 10ft. Determine the perimeter and area
Perimeter formula: 2b + 2h
Area formula: b * h
Perimeter:
2(13) + 2(10)
26 + 20
46
Area:
13 * 10
130
The perimeter is 46ft.²
The area is 130ft.²
Best of Luck!
In mathematics, the perimeter of the 13ft by 10ft bedroom would be 46ft and the area would be 130 square feet.
Explanation:The perimeter of a rectangle (which a bedroom is 13ft. by 10ft. mostly is) can be determined by adding up all the sides. So, the formula for a rectangle is: Perimeter = 2(length + width). Given that your length is 13ft and width is 10ft, the calculation would be Perimeter = 2(13ft + 10ft), resulting in a perimeter of 46ft.
The area of a rectangle is calculated by multiplying the length by the width. In this case: Area = length * width, therefore Area = 13ft. * 10ft., resulting in an area of 130 square feet.
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Which BEST describes the representation of the data on the given graph?
A) The graph represents the data appropriately.
B) The graph is misleading because the size of the sample is not shown.
C) The graph is misleading because the vertical scale does not begin at 0.
D) The graph is misleading because the scale is disproportional to the data.
Answer:
A) The graph represents the data appropriately.
Step-by-step explanation:
The graph above is a true representation of data showing the percent of political parties people who agreed with court.
From the graph above, three categories of political parties people are concerned; which are, the Democrats, the Republicans and the Independents.
It can therefore be deduced that 62% of the Democrats agreed with court. By implication, the percent of the Democrats who disagreed with court is 38%. Conversely, 54% of people agreed with court for both the Republicans and the Independents respectively. This implies that the percent of both the Republicans and the Independents who did not agree with court is 46% respectively.
However, the graph fails to provide us with information about what the people agree on; probably the outcome of an election or appointment of a minister.
The graph is not misleading in any way and it is not necessary that the vertical scale begin at zero. Therefore, the data represents the graph appropriately.
Which linear function has a y-intercept at –3?
Answer:
Cant answer
Step-by-step explanation:
Depending on the option choices and without seeing the option choices I can give you an idea of how to solve this.
Using y=mx+b we can find the y intercept by knowing that B is the value of the y Intercept
Answer:
(0,-3)
Step-by-step explanation:
Find the m the slope (Y-y)/(X-x) using the two points given. Step 2 - Find b using slope- intercept y = mx + b and 1 of the points given.