What is the volume of the following rectangular prism?
Volume=______units^3[
Answers
Answer:
10 unit³
Step-by-step explanation:
Volume of the rectangular cube:
Area × lenght
Given ;
Area = 25/4 unit²
Length = 8/5 unit
Volume = Area × length
= 25/4 × 8/5
= (5 × 2) = 10 unit³
Related Questions
Shane wrapped the kite with paper. How many square inches of paper did Shane use to cover the front and back? 45 POINTS
Answers
Answer:
576
Step-by-step explanation:
First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.
Answer:
576
Step-by-step explanation:
What is the area C in terms of
Answers
Hope this help
A plant can manufacture 100 golf clubs per day for a total daily cost of $7,800 and 120 golf clubs per day for a total daily cost of $8,400. Assuming that the daily cost and production are linearly related, find the number of golf clubs manufactured if the total daily cost is $12,300. * A. 167 B. 250 C. 410 D. 4,800
Answers
Answer:
The correct option is (B) 250.
Step-by-step explanation:
A plant can manufacture 100 golf clubs per day for a total daily cost of $7,800.
And 120 golf clubs per day for a total daily cost of $8,400.
Let X = number of golf clubs manufactured per day.
Let Y = total cost of manufacturing golf clubs per day
It is provided that:
(x₁, y₁) = (100, 7800)
(x₂, y₂) = (120, 8400)
Form the least square regression line using two-point form as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
[tex](y-7800)=\frac{8400-7800}{120-100}\ (x-100)\\\\(y-7800)=30\times (x-100)\\\\y-7800=30x-3000\\\\y=30x+4800[/tex]
The least square regression line to estimate the total daily cost of x golf clubs manufactured daily is:
y = 30 x + 4800
Compute the number of golf clubs manufactured if the total daily cost is $12,300 as follows:
[tex]y = 30 x + 4800\\12300=30x+4800\\30x=7500\\x=250[/tex]
Thus, the correct option is (B).
i need help thanks fvbfuvfubvufvfv
Answers
Hope this helps!
I need help with this please, I’m not sure if I should use the a^2+b^2=c^2
Answers
Answer:
yes, use the Pythagorean theorem
Step-by-step explanation:
it would be 6^2+15^2=c^2
Stephanie and alejandro
were planning thier wedding.
Stephine saved up four times.
more money than alejandro
because he lost his job at walmart. Together $15,600 How much did each one save ?
steps ?
Answers
Answer:
Stephanie saved
Step-by-step explanation:
x+4x=15600
5x=15600
divide by 5 on both sides
you get 3120
since stephanie got 4 times more, you multiply 3120*4 and get 12480
therefore, Alejandro saved 3120
: )
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answers
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
Sondra gets $75 a week, plus 10 percent of sales. Which equation best represents her salary? Group of answer choices
Answers
I do not know for sure
Which of these are NOT expressions?
Check all that are true.
123
9 + 3 = 12
3(4x + 5)
6 − 5 − 4 = z
3z + 2x
HELP
Answers
Answer:
6-5-4=z
9+3=12
Step-by-step explanation:
Expressions has no equal sign
If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2
Answers
Answer:
Option B.
Step-by-step explanation:
Note: Given roots are not in proper format.
Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].
According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).
Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).
Therefore, the correct option is B.
Answer:
B)
Step-by-step explanation:
Sabrina has a rug with a perimeter of 18 feet. She decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. The border is the same width all the way around. A rectangle has a length of 8 feet and width of 4 feet. The equation which represents x, the width of the border is 2 (8 minus 2 x) + 2 (4 minus 2 x) = 18. What is the width of the border? Three-fourths ft 1 and one-half ft 1 ft 3 ft
Answers
Answer:
3/4 ft.
Step-by-step explanation:
2(8-2x)+2(4-2x)=18
16-4x+8-4x=18
-8x=18-24
-8x=-6
x=-6/-8
x= 3/4
The width of the border is 3/4.
What is perimeter of rectangle?The perimeter of rectangle is, P= 2(l + b).
Given:
length= 8 feet, width = 4 feet
2(8-2x)+2(4-2x)=18
16-4x+8-4x=18
-8x=18-24
-8x=-6
x=-6/-8
x= 3/4
Hence, the width of the border is 3/4.
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4~ Please help. What is m∠LKE?
Answers
Answer:
the answer is 35 degrees
Step-by-step explanation:
The angle the diameter of a circle forms = 90 degrees
Therefore, angle ELK = 90 degrees
Sum of interior angles of a triangle = 180 degrees
Therefore, 55 deg + 90 deg + angle LKE = 180 deg
angle LKE = 180 - 145
LKE = 35 degrees
Pleaseee help!!!!......
Answers
Answer:
D
Step-by-step explanation:
What is the exact circumference of a circle with a radius of 15 cm? 10πcm 15πcm 30πcm 60πcm WIIL GIVE BRAINLIEST
Answers
Answer:
(C) 30πcm
Step-by-step explanation:
In order to find circumference you use the formula C (circumference)=2(pi)(r) in which r is the radius. In this case, two and 15 are thirty so to find the circumference all you have is the equation 30 times pi centimeters is equal to the Circumference.
Answer:
37 pi
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter.
The formula for the circumference of a circle is C=pi d,and since d = 37 ,we know that C=37 pi.
37 pi =116.238928183,but pi is irrational and the decimal will never end.
Thus,the most exact way to express the circumference is 37 pi.
What are the points of discontinuity?
Answers
Answer:
x = 9, x = 3
Step-by-step explanation:
Given
y = [tex]\frac{x-3}{x^2-12x+27}[/tex]
The denominator of the rational function cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the values that x cannot be, that is
x² - 12x + 27 = 0
(x - 9)(x - 3) = 0
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x - 3 = 0 ⇒ x = 3
Thus x = 9, x = 3 are excluded values and the points of discontinuity
Which function has two x-intercepts, one at (0,0) and one at (4,0)?
Of(x) = x(x - 4)
O f(x) = x(x + 4)
O f(x) = (x - 4)(x-4)
Of(x) = (x + 4)(x + 4)
Answers
Answer:
1st equation
Step-by-step explanation:
you can just figure this out because when y = 0, that is where the x intercepts are.
so that means that when y = 0, one of the parentheses has to equal to 0 as well, you can only get 0 in this situation when you multiply by 0.
so either x = 0, or some parentheses has to equal to 0.
in the 1 equation when x=0, then y=0, (0,0)
when x = 4, then y = 0, (4,0)
problem solved!
The function has two x-intercepts, one at (0,0) and one at (4,0) is f(x) = x(x - 4). Therefore, option A is the correct answer.
The given coordinate points are (0,0) and (4, 0).
What is a x-intercept?The x-intercept for any curve is the value of the x-coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.
A) y=x(x-4)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (0,0),(4,0)
y-intercept(s): (0,0)
B) f(x) = x(x + 4)
x-intercept(s): (0,0),(−4,0)
y-intercept(s): (0,0)
C) f(x) = (x - 4)(x-4)
x-intercept(s): (4,0)
y-intercept(s): (0,16)
D) f(x) = (x + 4)(x + 4)
x-intercept(s): (−4,0)
y-intercept(s): (0,16)
The function has two x-intercepts, one at (0,0) and one at (4,0) is f(x) = x(x - 4). Therefore, option A is the correct answer.
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Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
Answers
Answer:
170
Step-by-step explanation:
20 + (26 - 1)6
= 20 + (25)6
= 20 + 150
= 170
The 26th term in the arithmetic sequence: 20, 26, 32, 38, ... is 170
Given:
20, 26, 32, 38, ...
nth term of an arithmetic sequence is given bynth term = a + (n - 1) d
where,
a = first termd = common differencen = nth term20, 26, 32, 38, ...
a = 20
d = 26 - 20
= 6
26th term = a + (n - 1) d= 20 + (26 - 1) 6
= 20 + (25) 6
= 20 + 150
= 170
Therefore, the 26th term in the arithmetic sequence is 170
Learn more about arithmetic sequence:
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Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2
Answers
The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²
How to find the surface area of a pyramid?
The surface area of the rectangular pyramid is the sum of the whole areas.
The total surface area is the sum of the whole area.
A rectangular pyramid has 4 triangular faces and a rectangular base.
Therefore,
total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²
total surface area = 108.6 cm²
Therefore, the total surface area of the rectangular prism is 108. 6cm²
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Lena has painted of a room.
She has used 11 gallons of
paint. How much paint will
she need for the whole room?
Answers
Answer:
What do you mean by Lena has painted of a room? can you tell me the question word by word so I can answer it?
Step-by-step explanation:
PLEASE HELP...SOLVE FOR VOLUME
Answers
Answer:
to get volume you have to do this base x height
Step-by-step explanation:
12 x 8 is 96 that the base
next base times height which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2
Answer:
volume = 12* 19.2*8/2 = 921.6 m3
Step-by-step explanation:
20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2
volume = 12* 19.2*8/2 = 921.6
!! NEED RN, MARKING BRAINLIST !!
What is the value of x?
Answers
Answer:
5 sqrt(3)
Step-by-step explanation:
Since this is a right triangle
sin theta = opposite side/ hypotenuse
sin 60 = x /10
10 sin 60 = x
10 sqrt(3) /2 =x
5 sqrt(3) =x
Answer:
5√3
Step-by-step explanation:
The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:
sin 60 degrees = opp side / hypotenuse = x/10.
Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2 = 5√3 (equal to the third answer choice).
!!!!HELP PLS!!!! 19 POINTS
In equation y=15x+12, what is the 15? *
In equation y=15x+12, what is the 12? *
How would you create a table of values for the equation y=15x+12? *
Answers
Answer:
1. Coefficient
2. Constant
3. (0,12)(1,27)(2,42)(3,57)(4,72)
Step-by-step explanation:
Taylor is buying shares of stock that cost 8 dollars each. How many shares can he buy if he can spend no more than 250 dollars?
Answers
After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred?
A) 15, 35, 44
B) 35, 44, 50
C) 44, 50, 55
D) 55, 63, 69
HELP ASAP I WILL GIVE BRAINLIEST
Answers
Answer:
the numbers in Set A would round to 0
Step-by-step explanation:
Find the missing length indicated
Answers
Find the measure of the given arc in Circle C.
Answers
Answer:
AE=90°
AED=140°
DBA=220°
PLZ HELP it's LITERALLY THE LAST QUESTIOOOON
Answers
Answer:
b
Step-by-step explanation:
Convert radians to degrees. \frac{13\pi}{18}
Answers
Answer:
Step-by-step explanation:
sorry can’t answer
f(x) = 2/x at x = -2
Answers
Answer:
f(x) = -1
Step-by-step explanation:
2/x when x = -2
2/-2 = -1
Answer:
f(x) = -1
Step-by-step explanation:
If you plug in -2 for x then it is 2/-2
Pythagorean Theorem: How many yards will the players have to run?
Answers
Answer:
≈ 125.3
Step-by-step explanation:
If we're using the Pythagorean Theorem to solve this, then the formula is:
[tex]a^{2}+ b^{2} =c^{2}[/tex]
So basically, by using this formula, you're finding the length that the soccer players will run diagonally. Plug in the numbers:
[tex]110^2 + 60^2 = c^2[/tex]
12100 + 3600 = [tex]c^2[/tex]
15700 = [tex]c^2[/tex]
Take the square root:
15700 = [tex]c^2[/tex]
[tex]\sqrt{15700} = \sqrt{c^2}[/tex]
125.3 ≈ c
