find the volume. the base is regular.
PLEASE HELP ASAP
Answer:
V≈14590.8
Step-by-step explanation:
plz mark brainliest
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
What percentage of the people in line waited for more than 28 minutes?
Answer:
5.48% of the people in line waited for more than 28 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that [tex]\mu = 20, \sigma = 5[/tex]
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 20}{5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes
Solve the equation
X/x+2 - 4/x-2=1
Answer: - 2/3 but in decimal form it is -0.6 repeating
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?
Given:
The line passes through the two points (–4, –3) and (12, 1).
The point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
To find:
The standard form of the equation for this line.
Solution:
The standard form of a line:
[tex]Ax+By=C[/tex]
The given point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
Multiply both sides by 4.
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=x-12[/tex]
[tex]-4+12=x-4y[/tex]
[tex]8=x-4y[/tex]
Interchanging the sides, we get
[tex]x-4y=8[/tex]
Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].
y = one-fourth x minus three-fourths got it on the edge
Solve for X: -10+3X<4
Answer:
x<14/3
Step-by-step explanation:
-10+3x<4
3x<4+10
3x<14
x<14/3
If this helps please mark as brainliest
In parallelogram ABCD, AC=87.5 and BC=52.5. If ABCD is a rectangle, find AB.
ESTION 4
en: f(x)=2-x +1
Determine the coordinates of the y-intercepts
I need help with this question
Answer:
[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]
Option B: 20.9°
Can somebody help me with my mathia
Answer:
Sure i can try helping u with ur mathia lol
Step-by-step explanation:
need this done in five omgg pls help 19 points
6.64mm² multiply the cm and get that
guys please help its my final either i pass or not
Answer:
Step-by-step explanation:
1 yes 2 no 3 no 4 yes 5 no
Answer:
1. yes
2. yes
3. no
4. yes
5. no
Step-by-step explanation:
go to mathwa* and type in the same equation and click to see if function or not.
gl on the final
this guy above me is wrong for #2
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1)
Answer:
3sqrt2
Step-by-step explanation:
b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf
2x1= how much answer
Answer:
2X1 = 2
Step-by-step explanation:
When multiplying a number times 1 it Would stay the same as the first number was before 1 number over that and It would end up equaling an actual number like for example 2x2 = 4 confused on how you got 2x1 as 2? Well simple let me explain it more with other equations 7x1 = 7 4x1 = 4 20x1 = 20 you see?
If you place a 38-foot ladder against the top of a 32-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer: 20.5
Step-by-step explanation:
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.
Let 'x' be the horizontal distance on the ground. Then the equation is given as,
38² = 32² + x²
Simplify the equation, then we have
1444 = 1024 + x²
x² = 420
x = 20.5 feet
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
when you divide -8/2=-4 and 2/2=1
-4<1
when you divide by a negative number your sign changes
4>-1
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.
Answer:
see below
Step-by-step explanation:
When multiplying or dividing an inequality by a positive, the inequality remains the same direction
3x < 6
Divide by 3
3x/3 < 6/3
x <2
When multiplying or dividing an inequality by a negative, the inequality changes direction
-3x < 6
-3x/ -3 > 6/-3
x > -2
Add a sale this week a suit is being sold for $476 this is a 15% discount from the original price what is the original price
Decrease £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
1917 when reduced by 8 then rounded is 2020
Step-by-step explanation:
The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.
9514 1404 393
Answer:
(a) 2 or 3
(b) -13
Step-by-step explanation:
(a) A, B, and C are collinear if there is some constant 'c' such that ...
B - A = c(C - A)
This will give rise to two equations in 'c' and 'k'.
(k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))
(k +1, k -5) = c(2k, k -6)
And the two equations are ...
k +1 = 2ck
k -5 = c(k -6)
From the first, we find ...
c = (k +1)/(2k)
From the second, we find ...
c = (k -5)/(k -6)
Equating these expressions for c gives ...
(k +1)/(2k) = (k -5)/(k -6)
(k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)
k^2 -5k -6 = 2k^2 -10k
0 = k^2 -5k +6 = (k -3)(k -2)
Solutions that make the factors zero are ...
k = 3 or k = 2
There are two values of k that make the points collinear: 2 and 3.
__
(b) AB is parallel to CD when the slopes of the lines between them are the same
slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)
slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2
Equating these slopes and solving for k, we get ...
(k -5)/(k +1) = 3/2
2(k -5) = 3(k +1)
2k -10 = 3k +3
-13 = k
AB is parallel to CD when k = -13.
_____
The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).
A pinwheel's four blades are all congruent right trapezoids.
4 in
2 in
2 in
What is the combined area of the four blades, in square inches?
Answer:
[tex]Area = 24\ in^2[/tex]
Step-by-step explanation:
Given
Let
[tex]a, b \to[/tex] opposite sides of each trapezoid
[tex]h \to[/tex] height
[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]
See attachment for trapezoids
Required
The combined area of the 4
First, we calculate the area of 1
[tex]Area = \frac{1}{2}(a + b) * h[/tex]
So:
[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]
[tex]A_1 = \frac{1}{2}*6 * 2[/tex]
Using a calculator
[tex]A_1 = 6[/tex]
The combined area is:
[tex]Area =n * A_1[/tex]
Where
[tex]n = 4[/tex] --- 4 blades
So:
[tex]Area = 4 * 6[/tex]
[tex]Area = 24\ in^2[/tex]
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 7xex, a = 0
Answer:
The four first terms are:
[tex]7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}[/tex]
Step-by-step explanation:
The function is:
[tex]f(x)=7xe^{x}[/tex]
The Taylor series around a is given by:
[tex]F(x)=\sum^{\infty}_{n=0} \frac{f^{n}(a)(x-a)^{n}}{n!}[/tex]
The first 4 terms will be:
[tex]F(x)=f(0)+\frac{f^{'}(0)(x)}{1}+\frac{f^{''}(0)(x)^{2}}{2}+\frac{f^{'''}(0)(x)^{3}}{6}[/tex]
Let's find first the derivatives:
[tex]f'(x)=7(xe^{x}+e^{x})[/tex]
[tex]f'(0)=7(0e^{0}+e^{0})=7[/tex]
[tex]f''(x)=7xe^{x}+7e^{x}+7e^{x}=7xe^{x}+14e^{x}[/tex]
[tex]f''(0)=14[/tex]
[tex]f'''(0)=21[/tex]
[tex]f''''(0)=28[/tex]
[tex]F(x)=0+\frac{7(x)}{1}+\frac{14(x)^{2}}{2}+\frac{21(x)^{3}}{6}+\frac{28(x)^{4}}{24}[/tex]
Therefore, the four first terms are:
[tex]7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}[/tex]
I hope it helps you!
So the Taylor series for the function informed will be:
[tex]7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}[/tex]
The function is:
[tex]f(x)= 7e^xx[/tex]
The Taylor series around a is given by:
[tex]f(x)= \sum \frac{f^n (a) (x-a)^n }{n!}[/tex]
The first four terms will be:
[tex]F(x)=f(0)+\frac{f'(0)(x)}{1}+\frac{f''(0)(x)^2}{2} + \frac{f'''(0)(x)^3}{6}[/tex]
Let's find first the derivaties:
[tex]f'(x)= 7(e^xx+e^x)\\f'(0)= 7\\f''(x)= 7e^xx+14e^xx\\f''(0)=14\\f'''(0)= 21\\f''''(0)= 28[/tex]
[tex]F(x)= 0+\frac{7x}{1}+\frac{14x^2}{2}+\frac{21x^3}{6}+\frac{28x^4}{24}[/tex]
Therefore, the four first terms are:
[tex]7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}[/tex]
See more about Taylor series at : brainly.com/question/6953942
Hey Besties! Pls help! 50 pts!
Which is the graph of f(x) = one-fourth(4)x?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (2, 1) and (0, 4).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (1, 1) and (0, 4).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (3, 2) and (4, 4).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).
The graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d) on a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = \frac 14(4)^x[/tex]
The above function is an exponential function that has an initial value of 1/4 and a rate of 4
When x = 2,
f(2) = 4
When x = 1,
f(1) = 1
Hence, the graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d)
Read more about exponential functions at:
https://brainly.com/question/11464095
Answer:
graph one
Step-by-step explanation:
did it on ed .
The temperature in a commercial freezer over four days are -2.36 F, 1.68F, -1.81F, and 0.67F what is the mean temperature of the freezer over the four days
Answer: -0.455F
Step-by-step explanation:
The mean temperature of the freezer over the four days will be gotten by adding the total temperature and then dividing by 4. This will be:
= (-2.36 + 1.68F + -1.81F + 0.67F) / 4
= -1.82F/4
= -0.455F
The mean temperature is -0.455F
Find the value of x. Only need 7 and 9 answered.
Answer:
Step-by-step explanation
7.
[tex]\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14[/tex]
9.
[tex]\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5[/tex]
find the answer of
31050×2³
A loan of $7,000 for 4 acres of woodland is compounded somiannually at an annual rate of 8% for 3 years.
How much INTEREST is paid at the end of 3 years?
Answer:
$560
Step-by-step explanation:
50 points!!!!! need answer ASAP
Answer:
the first option
Step-by-step explanation:
i believe
Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?
Answer:
1 gato come 5 ratos em 1 dia X 5 = 5 gatos come 25 ratos por dia
5 gatos come 25 ratos por dia X 5 = 25 gatos come 125 ratos por dia
Provide your steps!!
•••••••••••••••••••••••••
Answer:
946 ft²
Step-by-step explanation:
28 x 7 = 196
30 x 25 = 750
750 + 196 = 946 ft²
quickly help 1//////////////////////////////////
Answer:
1 [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].
Find the value of x.
Answer:
49°
Step-by-step explanation:
x= 90-41 = 49°
---------
Answer:
I would assume x = 49° since 49+41=90 and it appears to be a 90° angle