Answer:
2854.5 in^3
Step-by-step explanation:
4/3 π(8.8)^3
4/3π(681.472)
908.63π = 2854.5 in^3
F(x)=8-3x find x when f(x)=32
Answer:
x=8
Step-by-step explanation:
F(x)=8-3x
f(x)=32
replace f(x) with 32
32=8-3x
32-8=3x
24=3x
x=24/3
x=8Help pls quick! pls and ty
Answer:
All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(
Step-by-step explanation:
which expression is a cube root of -2i?
The cube root of -2i,
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
We can represent -2i in polar form as,
r(cosθ + i sinθ)
by computing its magnitude and angle.
The magnitude of -2i is 2
Since the absolute value of any imaginary number is equal to its magnitude.
To find the angle θ,
We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case,
The opposite side is -2 and the adjacent side is 0.
Therefore, we have tanθ = -2/0, which is undefined.
However,
We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.
So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).
Now, we need to find the value of θ/3. Since θ is undefined,
we will represent it as π/2 + 2πn,
where n is any integer.
So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.
Therefore, the cube root of -2i is equal to
⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]
Now put n = 0
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
This is the final form of the cube root of -2i in the required form.
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Calculate the volume of the figure below in cubic feet.
Anita said, "I'm leaving school today at 1:15."
Frank replied, "I was able to fool the nurse into letting me leave early once, but I got in trouble when she found out I was faking.
What form of punctuation is missing?
A.
quotation marks
B.
There is no missing punctuation.
C.
a semicolon
D.
a colon
Answer:
A
Step-by-step explanation:
The quotation mark is missing at the very end of the last quote right after:
I was faking.
Answer:
i think A
Step-by-step explanation:
The quotation mark is missing at the very end
elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
A 98% confidence interval for a proportion is found to be (0.62, 0.68).
What is
the sample proportion?
O A. 0.66
OB. 0.64
O C. 0.65
O D. 0.68
Answer:
I think the answer is C ,The sample proportion is the fraction of samples which were successes, so. (1) For large , has an approximately normal distribution.
Step-by-step explanation:
If the queston true please votes 5 stars and mark as brainliest for me.Thank you so much
Given that a 98% confidence interval for a proportion is found to be (0.62, 0.68). The sample proportion will be 0.65.
What is confidence interval for population proportion?Formula to calculate the confidence interval for population proportion p :-
\(p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } < p < p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} }\)
Where,
p is the population proportion.
p' is the sample proportion.
n is the size of the sample.
\(Z_{\alpha }\) is the desired degree of confidence.
Given that a 98% confidence interval for a proportion p is found to be (0.62, 0.68).
\(p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.62\\\\p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.68\)
Adding the two equations,
2p' = 1.3
p' = 0.65
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Write the followingas aninequality:Three times m is at least 10.
To write the inequality that is described in the statement we need to identify the expressions involved:
Three times m means three multiplied by a number called m:
\(3m\)When we use the expression at least, we refer to greater than or equal to:
\(\ge\)And 10 is just the number. Write it all together in the given order and obtain the required inequality:
\(3m\ge10\)And that is the answer.
Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful, however he cannot try more than 3 times or the phone will lock him out. Let S denote a successful attempt and F denote a failed attempt. What is the sample space for this random experiment
Answer:
(S, FS, FFS, FFF)
Step-by-step explanation:
According to the Question,
Given, A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful.however, he cannot try more than 3 times or the phone will lock him out.Let, S denote a successful attempt and F denote a failed attempt.So, the sample space for this random experiment is
{S, FS, FFS, FFF}
The person stops trying when he successfully enters the code or when he has failed at all 3 attempts .
There are 245 basketball fans who plan to go to a game. How many buses will they need, given that each bus can hold 38 fans ?
Answer:
7 buses
Step-by-step explanation:
245/38 will give you 6.45 and you can't have half a bus, so 7 buses
Do not understand this question
Answer:
A, C
Step-by-step explanation:
You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.
EnlargementAn enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...
high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C
When it is enlarged by a factor of 3, the dimensions become ...
high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A
The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.
The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.
__
Additional comment
An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.
The equation y=1/5x+3.5 can be used to find the amount of accumulated snow y in inches x hours after 5 P.M. on a certain day. Graph this equation.
The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.
Graphing linear equationsFrom the question, we are to graph the given linear equation.
To graph the equation,
We will determine the coordinates of the x-intercepts and y-intercepts.
When x = 0
y = 1/5x + 3.5
y = 1/5(0) + 3.5
y = 3.5
(0, 3.5)
When y = 0
y = 1/5x + 3.5
0 = 1/5x + 3.5
Multiply through by 5
0 = x + 17.5
x = -17.5
(-17.5, 0)
Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.
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the function below satisfies the mean value theorem on the specified interval.find the value of c in the interval (1,2) where 1.2/x 1.6 (1,21)
By solving the mean value theorem, the value of c in the interval (1,2) is 0.75.
Explanation:
The mean value theorem states that if a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists at least one point c in (a,b) where the equation f'(c) = (f(b) - f(a))/(b - a) is satisfied.
For the specified interval (1,2) and given equation 1.2/x - 1.6, we can rearrange the equation to solve for c:
1.2/c - 1.6 = 0
1.2/c = 1.6
c = 1.2/1.6
c = 0.75
Therefore, the value of c in the interval (1,2) is 0.75.
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The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm
The curved surface area of the cylinder is 48.06 cm².
The circumference of a cylinder is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the base.
In this case, the given circumference is 6 cm.
So, 6 = 2πr
r = 6 / (2π)
r ≈ 0.955 cm
Now, the curved surface area (CSA) of the cylinder using the formula:
CSA = 2πrh
Given the height as 8 cm, we can substitute the values into the formula:
CSA = 2π(0.955 cm)(8 cm)
CSA ≈ 48.06 cm²
Therefore, the curved surface area of the cylinder is 48.06 cm².
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a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!)
What mathematical property is represented by the equation below
c+d=d+c
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
Find the Lowest Common Multiple (LCM) of 55 and 77.
Answer:
→ 55 = 5 × 11→ 77 = 7 × 11Now, the Lowest Common Multiple (LCM) of 55 & 77 is :
5 × 7 × 11 = 385385 is the right answer.A monument is constructed by first laying a row of 60 bricks at ground level. A second row, with two fewer bricks, is centered on that; a third row, with two fewer bricks, is centered on the second; and so on. The top row contains 10 bricks. How many bricks are there in the monument?
Let's call the number of bricks in the ith row as B_i. Then, B_i = 60 - 2 * (i - 1) for i = 1, 2, ..., n, where n is the number of rows.
The number of bricks in the monument can be found by summing up the bricks in each row. So, the total number of bricks is:
T = B_1 + B_2 + … + B_n
= 60 + (60 - 2) + (60 - 4) + … + (60 - 2 * (n - 1))
= 60 * n + (-2) * (1 + 2 + … + (n - 1))
To find the sum of 1 to (n-1), we can use the formula for the sum of an arithmetic series: S_n = n * (a_1 + a_n) / 2, where a_1 = 1 and a_n = n - 1.
Substituting these values into the formula, we get: S_n = (n - 1) * (1 + (n - 1)) / 2 = (n - 1) * n / 2.
Therefore, T = 60 * n + (-2) * (n - 1) * n / 2 = 30 * n^2 + 30 * n.
Finally, to find the number of bricks for n = 10 rows, we substitute n = 10 into the equation:
T = 30 * 10^2 + 30 * 10 = 300 + 300 = 600
So, there are 600 bricks in the monument.
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What is the cube root of 27a^l2?-3a4-3a3a3a*
Which degenerate conic is formed when a double cone is sliced at the apex by a plane parallel to the base of the cone?
Two lines
Point
Hyperbola
Ellipse
When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.
What is degenerate conic?A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart.
It is formed by slicing a cone with a plane in a way that produces a special type of conic section.
This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:
If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.
If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.
If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.
If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.
If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.
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A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
The rest of the coins are 10p coins.
Work out the total value of the 416 coins.
Answer:
it's I think 250
Step-by-step explanation:
it's 250 from me...
-3x-4<5 pls help!!!
Answer:
x > -3
Step-by-step explanation:
\( - 3x - 4 < 5\)
\( - 3x - 4 + 4 < 5 + 4\)
\( - 3x < 5 + 4\)
\( - 3x < 9\)
\( \boxed{\green{= x > - 3}}\)
solve the system of equations
y-5=x
x=-2-y y = ( , )
Answer:
y=1.5
x=-3.5
Our answer is (-3.5,1.5)
Step-by-step explanation:
y-5=x
x=-2-y
y=?
--------
Using substitution,
y-5=-2-y
Solve:
2y-5=-2
2y=3
y=1.5
We can enter 1.5 into the equation:
1.5-5=x
-3.5=x
What step is needed to solve this equation? w – 6= -6
The given equation is,
\(w-6=-6\)Bringing the -6 from the lhs to rhs, we have,
\(w=-6+6=0\)Thus, to solve the equation, we have to bring the -6 on the LHS to
What are the dimensions of a rectangle with an area of 48 square centimeters and a perimeter of 28 centimeters?
Step-by-step explanation:
the area of a rectangle is
length × width
the perimeter of a rectangle is
2×length + 2×width
so,
length×width = 48 cm²
2×length + 2×width = 28 cm
length + width = 14 cm
length = 14 - width
we use this in the first equation :
(14 - width) × width = 48
14×width - width² = 48
-width² + 14×width - 48 = 0
a quadratic equation
ax² + bx + c = 0
has the general solution
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = width
a = -1
b = 14
c = -48
width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =
= (-14 ± sqrt(196 - 192))/-2 =
= (-14 ± sqrt(4))/-2 =
= (-14 ± 2)/-2 =
= 7 ± 1
width1 = 7 + 1 = 8 cm
width2 = 7 - 1 = 6 cm
length1 = 14 - width1 = 14 - 8 = 6 cm
length2 = 14 - width2 = 14 - 6 = 8 cm
so, we see, one of them must be 8 cm, and the other 6 cm.
let's length be the longer side, so
length = 8 cm
width = 6 cm
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
Write a function g in terms of f so that the statement is true
Horizontal changes are often the opposite of what you'd expect to see in the formula.
12:
To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).
Notice we have the reciprocal inside of the function notation.
13:
To translate left 5 units, you have \(g(x) = f( x+5 )\).
Notice we have the opposite sign inside of the function notation.
Marco paid $36.89 for 8.6 gallons of gas. What is the price per gallon?
Answer:
It is $4.29 Step-by-step explanation:
because you need to find the price of one gallon, so you just divide the numbers $36.89 by 8.6 gallons which is 4.289 and if you round it it is $4.29 per gallon / 1 gallon.