Answer:
The value of the new volume 'x' would be equal to 40.5 cm³.
Step-by-step explanation:
Given
base area = 3 m²height = 4mDilation by a factor scale of 3/2.We can determine the volume of the original prism by multiplying the area of the base by the height,
volume = (3 cm²)(4 cm) = 12 cm³
Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.
let 'x' be the volume of the new solid,
[tex]\frac{x}{12}=\left(\frac{3}{2}\right)^3[/tex]
[tex]\frac{x}{12}=\frac{27}{8}[/tex]
Multiply both sides by 12
[tex]\frac{12x}{12}=\frac{27\cdot \:12}{8}[/tex]
[tex]x=\frac{81}{2}[/tex]
[tex]x=40.5[/tex] cm³
Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.
The total charge in dollars for a car rental can be determined by using the function c = 0.4x + 35, where c represents the total cost of the rental and x represents the total distance traveled in miles. Which statement justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00? The total cost increases $0.40 for every 35 miles traveled. The total cost increases $35.00 for every 40 miles traveled. There is an initial charge of $35.00 for every mile traveled. The cost increases $0.40 for every mile traveled after an initial charge of $35.00.
Answer:
There is an initial charge of $35.00 for every mile traveled.
Step-by-step explanation:
From the question, the cost function s given as follows:
c = 0.4x + 35 .................... (1)
Where;
Total cost = c
Variable cost per mile = $0.40
Number of miles traveled = x
Total variable cost = 0.4x = 0.40 * x
Fixed cost = Initial cost = $35
From the above, the fixed cost or initial cost implies that no matter the number of miles a passenger takes, he is going to pay $35 in addition to the variable cost to pay.
From the question, for driving a distance of 100 miles we have:
Number of miles traveled = x = 100
Total variable cost = 0.40 * 100 = 40
Substituting the relevant value into equation (1), we have:
c = 40 + 35
c = 75
Since the total cost obtained above is $75.00, it therefore implies that the correct statement that justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00 is "There is an initial charge of $35.00 for every mile traveled".
Write the number from least to greatest
Find the distance between Point A(9, 10) and B(-1,9) to the nearest tenth.
Answer:
10.0
Step-by-step explanation:
see attached for reference.
given two points in the x-y axis (x₁, y₁) and (x₂, y₂)
the distance bettween them is given by
Distance, D = √ ( (x₂-x₁)² + (y₂-y₁)² )
In our case we are given points (9,10) and (-1,9)
substituting these into the formula , we get:
D = √ ( (9-10)² + (-1-9)² )
= √ ( (-1)² + (-10)² )
= √ ( 1 + 100 )
=√101
= 10.04988
= 10.0 (rounded to nearest tenth)
Which transformation carries the trapezoid onto itself?
A. a reflection across the line y = 0
B. a rotation of 180° about the point (- 1, 0)
C. a rotation of 180 ° about the origin
D. a reflection across the line x = - 1 -1
Answer: D. a reflection across the line x = - 1
Step-by-step explanation:
First, you can see that the lengths of the top and the base of the figure are different, so we can discard the rotations of 180°, because those will give a different figure.
Now, for reflections, we need to reflect the image around a line of symmetry.
A line of symmetry means that the image at the right of the figure is an exact reflex of the image at the left of the figure, for this particular case, we can find a line x = c. Such that the distance between c and the x-component of the top vertexes is the same for both of them.
(Again, because the top and the bottom have different lengths, there is no line y = b such that a reflection across that line will leave the figure invariant)
The left top vertex is at x = -3
The right top vertex is at x = 1.
We can find the mid-value between them as:
c = (-3 - 1)/2 = -2/2 = -1
Then:
-3 - c = -3 - (-1) = -3 + 1 = -2
1 - c = 1 - (-1) = 2
While the numbers are different (in sign) as those represent distance between points, we only care for the absolute value, in that case:
I-2I = I2I
Then the distances are exactly the same, and we can take c = -1
This means that a reflection about the line x = -1 carries the figure onto itself.
Then the correct option is:
D. a reflection across the line x = - 1
What is the value of |-3.25|
Answer:
3.25
Step-by-step explanation:
thats how absolute value works
Which system of equations has no solution
The length of a jogging trail is 3528 m. A jogger wants to complete the trail within 30 min. How many meters must the jogger travel each minute?
Step-by-step explanation:
We have to find the distance the jogger must travel each minute. The distance covered in one minute is:
d= 3528/1800= 1.96 m
Therefore, the distance covered in one minute, or 60 seconds is:
dt= 1.96 × 60 = 117.6 m
The solution needed is, dt=588/5 = 117 (3/5) m
Helpppp please xxxxxxxxx
Answer:
SV= 26
VST=40
Step-by-step explanation:
What is the slope-intercept form of the equation of the line through the given point and slope?
through: (2,-2), slope = -3
Answer:
b = 4
Step-by-step explanation:
Remember y = mx+b (m = slope, b = y intercept.)
We have the slope, so, no need to solve for that.
To find the y intercept, plug in the ordered pairs to y=mx+b
-2=-3(2)+b
-2=-6+b multiply like terms
4 = b Add 6 on both sides
b = 4.
O GRAPHS AND FUNCTIONS
Determining if graphs have symmetry with respect to the x-axis...
For each graph, select all symmetries that apply.
(b)
(c)
2
at
-2
Symmetry:
Symmetry:
Symmetry:
x-axis
X-axis
x-axis
Ov-axis
y-axis
y-axis
origin
origin
origin
none of these
none of these
none of these
5
2
Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?
Answer:
13.6 inches
Step-by-step explanation:
We can use Pythagorean theorem: [tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Let c be the diagonal length, a for length, and b for width.
Substitute the values.
[tex]c=\sqrt{11^{2}+8^{2} }[/tex]
c=13.6 inches
A number divided by 3 is at least 15. what is the inequality. Will Give BrainLiest
Answer:
I believe that it is 45 but I'm not 100% sure.
Step-by-step explanation:
Pease help ASAP thanks a lot
Answer:
4r^3
Step-by-step explanation:
because the root dived everything into a have
At a zoo, 7 monkeys ate 35 bananas in one day. At
this rate how many bananas could 21 monkeys
eat in one day?
SUM! HELPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ASAPPPP
Answer: 105
Step-by-step explanation: 35 divided by 7 = 5 , so one monkey eats 5 bananas. 21 x 5 = 105
Hope this helps!
Answer:
105 bannanas
Step-by-step explanation:
Because if 21 is 3 times more than 7 then you have to multiply 35 times 3 to get the amount of bannanas 3 times more monkeys can eat.
Have a great day!
The next two terms of the sequence 4,7,10,13 are...and ----
What is the area of a rectangle with vertices (-8, -2), (-3,-2),(-3,-6), and (-8,-6) sq units?
Answer:
20 square units
Step-by-step explanation:
If you were to graph the four points(creating a table on desmos is a good option) you would find that one side is 4 units long and the other is 5 units long. You multiply 4 times 5 to get that the area is 20 units squared. :)
Answer:
20 units²
Step-by-step explanation:
A = 4 × 5 = 20 units²
these bugs are not drawn up to scale what does that mean
It means that they do not have the proper proportions that they normally would in real life. The drawing might be larger or smaller than the bugs but even then it might have the proper proportions, it is only when it has incorrect proportion sizes, that is is considered "not to scale"
I hope this helps :)
Answer:
That means if you measure the bugs from the chart/paper/assignment, the real bugs aren't that size.
Hope that helps and have a great day!
(If you have any questions let me know)
A line intersects the points (0,-4) and (1,2). What is the slope-intercept equation for this line
Answer:
y = -2x
Step-by-step explanation:
First you can find the difference between the two points to find the slope.
0, 4
- 1, 2
-1, 2
Now divide: y/x = 2/-1 = -2
Slope = -2
Formula: y=mx+b
Plug in the points for the variables.
2 = -2(1) + b
2 = -2 + b
Subtract 2 from both sides to get 0 = b so this line is proportional.
Hope that helps and have a great day!
What is the base and height of this parallelogram?
The graph Above shows marines rate while walking. Which of the following is an ordered pair on the graph
Write 75% as a rate per 100
Answer:
75/100 = 3/4
Step-by-step explanation:
75% in rate form is: 75/100, which can be also given in reduced fraction form by simplifying two factors "5" : 75/100 = 3/4
CAN YOU PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
The perimeter of a rectangle is 54 inches. Its length is 22 inches. Write and solve an equation to determine its width?
2 times the width + 2 times the length = perimeter
Answer:
5 is the width.
Step-by-step explanation:
Answer Check:
22 + 22= 44
5 + 5 = 10
44 + 10 = 54
2. Polygon KLMN is similar to polygon PQRS. What is the length of QR?
A. 16 m
B. 9 cm
C. 8 cm
D. 6 cm
Answer:I think it c
Step-by-step explanation:
Answer:
Is letter D. X=6.
Step-by-step explanation:
3/4.5= 4/QR
18/3=6
(7 points) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a two-minute phone call, what is the probability that at least 1 car arrives during the call
Answer:
The probability that at least 1 car arrives during the call is 0.9306
Step-by-step explanation:
Cars arriving according to Poisson process - 80 Cars per hour
If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67 X ≅ Poisson (λ = 2.67)
Now, we find the probability: P(X≥1)
P(X≥1) = 1 - p(x < 1)
P(X≥1) = 1 - p(x=0)
P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!
P(X≥1) = 1 - e^-2.67
P(X≥1) = 1 - 0.06945
P(X≥1) = 0.93055
P(X≥1) = 0.9306
Thus, the probability that at least 1 car arrives during the call is 0.9306.
The width of a piece of paper is 8.5in the length is 11in and the thickness is 0.0037inches there are 2700sheets sitting in a cabinet by the copy machine what is the volume of occupied by the paper.
Answer:
934.2 in³
Step-by-step explanation:
The following data were obtained from the question:
Width (W) = 8.5 in
Length (L) = 11 in
Thickness (T) = 0.0037 in
Number of paper = 2700 sheets
Volume occupied by the 2700 sheets of paper =?
Next, we shall determine the volume of 1 sheet of paper. This can be obtained as follow:
Width (W) = 8.5 in
Length (L) = 11 in
Thickness (T) = 0.0037 in
Volume (V) =?
Volume = Length × Width × Thickness
Volume = 11 × 8.5 × 0.0037
Volume = 0.346 in³
Thus, the volume of 1 sheet of paper is 0.346 in³
Finally, we shall determine the volume occupied by the 2700 sheets of paper as follow:
Volume of 1 sheet of paper = 0.346 in³
Volume of 2700 sheets of paper =?
1 sheet of paper occupied 0.346 in³.
Therefore, 2700 sheets of paper will occupy = 0.346 × 2700 = 934.2 in³
Thus, the volume occupied by the 2700 sheets of paper is 934.2 in³.
1. Find the unit rate for lessons at Sit and Stay School. Show your work. Write your answer in the space below.
Answer: $8
Step-by-step explanation:
96/12=8/1
Answer: first one = 8
second one = 25
Step-by-step explanation: 96 divided by 12 = 8
125 divided by 25 = 25
can u pls help me with this question
Answer:
A is correct
Step-by-step explanation:
Answer:
it's A -2/9
Step-by-step explanation:
it's A
it's A
Solve: |2x − 1| < 11. Edge 2020. Thanks!
Answer: -5 < x < 6. (-5, 6)
Step-by-step explanation:
Okay um “write an expression for “the difference of 10 and x”
Answer:
10 - x
Step-by-step explanation:
Answer:
x-10 or 10-x
Step-by-step explanation:
Please help me it’s due today at 3:00pm please help me will mark brainiest please help me
Answer:
40 miles
Step-by-step explanation:
15 + 0.50m = 25 + 0.25m
0.50m = 10 + 0.25m
0.25m = 10
m = 40