The volume of the box shown in the diagram is 40π3 cubic units. Find the length of ‘x’.
Answers
Answer:
4: 4\(\pi^2\)
Step-by-step explanation:
2\(\pi\) x 5 x \(x\) = 10\(\pi x\)
10\(\pi x\) = 40\(\pi ^3}\)
x = 4\(\pi^2\)
Answer:
4π units
Step-by-step explanation:
v=lwh
40π^3=2π×5×h
40π^3=10π^2×h
h=40π^3/10π^2
h=4π units
mark brianliest if my answer suit your question please.
Related Questions
can someone help me? I can't get rid of this test and it won't let me do it, I really don't know what to do and my grades will start to go down because I can't do it. (sorry if none of this makes sense)
Answers
Answer:
Step-by-step explanation:
There is no question to help with? Maybe ask your teacher or computer guy.
Use Order of Operations
to solve. PEMDAS
9 + 6(2²+4)
Answers
Answer:
57
Step-by-step explanation:
9+6(2^2+4)
Calculate 2 to the power of 2 and get 4.
9+6(4+4)
Add 4 and 4 to get 8.
9+6×8
Multiply 6 and 8 to get 48.
9+48
Add 9 and 48 to get 57.
57
Ken owns 500 shares of LaceNBrace, which makes hockey equipment. He receives a notice stating the company will be paying $0.15 dividend per share. What is the total dividend payment he receives for that quarter? O $750 O $8.50 O $7.55 O $75
Answers
Ken will receive a total dividend payment of $75 for that quarter.
We have to given that,
Ken owns 500 shares of LaceNBrace, which makes hockey equipment.
And, He receives a notice stating the company will be paying $0.15 dividend per share.
Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:
= $0.15 per share x 500 shares
= $75
Therefore, Ken will receive a total dividend payment of $75 for that quarter.
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ASK YOUR TEACHER This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 2s and two 9s?
Answers
Answer:
Total number of cards in hand contain exactly two 3s and two 7s is 56.
Pls see attached for explanation
The length of a cell phone is 1.4 inches and the width is 3.8 inches. The company making the cell phone wants to make a new version whose length will be 0.91 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answers
The ratio of the length to width is 7:19 and the width of the new phone is 2.47 in
ProportionsProportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers.
In this question, we can find the ratio between the length and the width.
Length : width = 1.4 : 3.8 = 7/19
The ratio of the length to the width is 7 : 19
In the new phone, the length is 0.91 in, we can find the width of this phone.
7 in (length) = 19 in (width)
0.91 in (length) = x in (width)
x = (19 * 0.91) / 7
x = 2.47 in
The width of the new phone is 2.47 in
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In a family there was give sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by 2 7/12 years. How old is the youngest brother? In how many years would another son be born if this rule still applies? Can you give the answer in years and months?
Answers
Answer:
5.5
Step-by-step explanation:
Write an equivalent expression for y(6 + y) and (6 x y) + (6 x 7)
Answers
Answer:
For the first one: 6y + y^2
2nd one: 6y + 42
Find the open intervals on which the function f(x)= x+10sqrt(9-x) is increasing or decreasing.
Answers
The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.
Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.
f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)
= 1 - 5√(9 - x) / √(9 - x)
= 1 - 5 / √(9 - x).
To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.
Setting f'(x) = 0:
1 - 5 / √(9 - x) = 0
5 / √(9 - x) = 1
(√(9 - x))^2 = 5^2
9 - x = 25
x = 9 - 25
x = -16.
The critical point is x = -16.
We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.
Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).
For x < -16:
Plugging in a test value, let's say x = -17, into the derivative:
f'(-17) = 1 - 5 / √(9 - (-17))
= 1 - 5 / √(9 + 17)
= 1 - 5 / √26
≈ 1 - 0.97
≈ 0.03.
Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).
For -16 < x < 9:
Plugging in a test value, let's say x = 0, into the derivative:
f'(0) = 1 - 5 / √(9 - 0)
= 1 - 5 / √9
= 1 - 5 / 3
≈ 1 - 1.67
≈ -0.67.
Since f'(0) is negative, the function is decreasing in the interval (-16, 9).
For x > 9:
Plugging in a test value, let's say x = 10, into the derivative:
f'(10) = 1 - 5 / √(9 - 10)
= 1 - 5 / √(-1)
= 1 - 5i,
where i is the imaginary unit.
Since the derivative is not a real number for x > 9, we cannot determine the sign.
Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
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PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answers
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
Answers
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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This is due soon today can somebody help?
35 points (if they're all right) comment if you don't know it
Answers
Answer:
1) P(1,0)Q(-2,3)R(-3,3)S(3,2)
2) (3,4)
3) (0,-4)
4) (1,2)
Step-by-step explanation:
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answers
Answer:
Step-by-step explanation:
Its 4.51
if bd = 7x - 10, BC= 4x - 29, and cd
= 5x - 9, find x
Answers
In the above equation, swap out BD = 7x-10, BC = 4x-29, and CD = 5x-9.
BD = 88
BC = 27
CD = 61.
How to find the calculation?Given that BD is equal to 7x, BC is equal to 4x, and CD is equal to 5x,
It is evident from the above figure that Points B, C, and D are parallel. On line segment BD, point C is located.
BD = BC + CD
In the above equation, swap out BD = 7x-10, BC = 4x-29, and CD = 5x-9.
7x - 10 = (4x - 29) + (5x - 9)
When we combine similar phrases, we obtain
7x - 10 = (4x + 5x) + (-29 - 9 )
7x - 10 = 9x - 38
38 plus 38 on either side.
7x - 10 + 38 = 9x
7x + 28 = 9x
Take 7x away from both sides.
28 = 9x - 7x
28 = 2x
By 2, divide both sides.
14 = x
Consequently, x has a value of 14.
BD = x - 10 = 7(14) - 10 = 88
88 units are BD's worth.
BC = 4x - 29 = 4(14) - 29 = 27
BC has a value of 27 units.
CD = 5x - 9 = 5(14) - 9 = 61.
The CD is worth 61 units.
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I do not get it and that is why
Answers
Before art class starts, Gordon makes sure that each table has a full bowl of paint. He has 1/2 of a gallon of paint and is able to fill the bowls for all 7 tables. How many gallons of paint does each table have?
Answers
Answer:0.07142857142
Step-by-step explanation:
0.07142857142 because 1/2/7= or .5/7=0.07142857142
.5= how much paint
7= how many tables that are needed to be filled
0.07142857142= how much paint
each table will receive
Given that events "A" and "B" are independent, P(A) = 0.80, and P(A and B) = 0.24, what is P(B)?
Answers
Answer:
P(B)=0.3
Explanation:
Given two independent events, A and B:
\(P(A\cap B)=P(A)\times P(B)\)Substitute the given values:
\(\begin{gathered} 0.24=0.8\times P(B) \\ \text{ Divide both sides by 0.8} \\ \frac{0.24}{0.8}=\frac{0.8\times P(B)}{0.8} \\ P(B)=0.3 \end{gathered}\)The probability of event B is 0.3.
please give me an explanation and your work
Answers
Answer:
-0.3*0.2*12, multiply -0.3 by 0.2 to get -0.06, now multiply 12 by it to get, -0.72.
Step-by-step explanation:
Jordan and Alyssa find out they arereading the same book. Althoughthey will be starting on differentpage numbers, they decide torecord their progress to determinewho is the faster reader. Using theresults shown, answer the questionsbelow.Jordan reads at a rate ofper hour.pagesAlyssa reads at a rate ofper hour.pagesBased on this data,(type A forAlyssa or J for Jordan) reads at a faster ratebypages per hour.Next »
Answers
Solution:
Given:
To get the reading rate of Jordan and Alyssa, we find the slope of both from the data given.
For Jordan:
\(\begin{gathered} Using\text{ the points }(2,215)\text{ and }(3,260) \\ where; \\ x_1=2,y_1=215 \\ x_2=3,y_2=260 \\ \\ The\text{ formula for calculating slope is;} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{260-215}{3-2} \\ m=\frac{45}{1} \\ m=45\text{ } \\ Therefore,\text{ Jordan's reading rate is 45 pages per hour} \end{gathered}\)Therefore, Jordan reads at a rate of 45 pages per hour.
For Alyssa:
\(\begin{gathered} Using\text{ the points }(0,40)\text{ and }(4,240) \\ where; \\ x_1=0,y_1=40 \\ x_2=4,y_2=240 \\ \\ The\text{ formula for calculating slope is;} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{240-40}{4-0} \\ m=\frac{200}{4} \\ m=50 \\ Therefore,\text{ Alyssa's reading rate is 50 pages per hour} \end{gathered}\)Therefore, Alyssa reads at a rate of 50 pages per hour.
Hence, the difference in reading rates of Jordan and Alyssa is;
\(50-45=5\text{ pages per hour}\)Therefore,
Based on this data, A reads at a faster rate by 5 pages per hour
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of AAA batteries produced by this manufacturer lasted a mean of hours with a standard deviation of hours. Find a confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then give its lower limit and upper limit.
Answers
I Don't know i just want to some points
Select all polynomials that have by (x -3) as a factor.
Choose all answers that apply:
A. A(x) = x^3-2x^2-4x+3
B. B(x) = x^3+3x^2-2x-6
C. C(x) = x^4-2x^3-27
D. D(x) = x^4-20x-21
Answers
f(x)=-2x^2 -3, find f(0)
Answers
Answer:
Step-by-step explanation:
It's -3
50 points for 3 questions. solve and explain please.
Answers
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answers
Answer:
Step-by-step explanation:
B?
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answers
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
in september 2016, the cost of gasoline in Berlin was around 1.25 euros per liter. what would the equivalent cost be in u.s. dollars per gallon?
Answers
Answer:
roughly 1.50
Step-by-step explanation:
1 euro was 1.08 usd in 2016. common sense it's around 1.50
Answer:
1.48
Step-by-step explanation:
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
-5
5
• (2,-2)
Answers
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point \((x_1,y_1)\) with slope m, then the point-slope form of the line is:
\(y-y_1=m(x-x_1)\)
The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:
\(y-(-2)=-3(x-2)\)
\(y+2=-3(x-2)\)
Therefore, the required point slope form of the given line is \(y+2=-3(x-2)\).
The local animal shelter expects a 23% increase in adoptions in November. During October, 76 animals were adopted. About how many animals are expected to be adopted in November? (Round to the nearest whole number. Do not include units on your answer.)
Answers
Answer:
93
Step-by-step explanation:
It recieves a 23% increase in adoptions from October to november so 123% or 1.23.
Multiply 76 (the number of adoptions in October) by the increased rate.
76 * (1.23) = 93.48 so 93 since that is the neares whole number.
My weekend math homework contains 13 problems. If I solved r of them on Friday and s on Saturday, how many should I solve on Sunday? PLS HELP ME SOLVE THIS ASAP
Answers
We can create an equation for this problem.
Since we don't know how many you solve each day, all the equation is going to do is add both Friday and Saturday and subtract by 13 to find how many questions you need to answer on Sunday.
(r + s) - 13 = n
Let n equal Sunday.
Best of Luck!
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
Answers
The coordinate of the point after transformation is: (3, -4)
What is the coordinate after moving of point?The coordinate initially is given as (0, -4).
Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:
(0 - 1, -4)
= (-1, -4)
Moving by 4 units to the right means an addition of 4 units to x coordinate to get:
(-1 + 4, -4)
= (3, -4)
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In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А
Answers
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get
\(m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))\)
\(m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)\)
\(m\angle BFE=\dfrac{1}{2}(124^\circ)\)
\(m\angle BFE=62^\circ\)
Therefore, the measure of angle BFE is 62°.
