Helpp me pleaseee I need it?
Answer:
112 ft.
Step-by-step explanation:
This shape is a trapezoid. To find the area of a trapezoid, use the formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First find base one. The shape in the middle is a square, so the top side of the trapezoid will be worth 8 ft as well. Now add the two bases 8 + 20 to get 28 and then divide by 2 to get 14. Now multiply 14 by the height (8). 14 x 8 is 112 ft.
Hope it helps and is correct!
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times the inverse tangent of the quantity x squared divided by 4, plus C one fourth times the natural log of x to the 4th power plus 16, plus C one fourth times the inverse tangent of the quantity x squared divided by 4, plus C the product of negative one fourth and 1 over the quantity squared of x squared plus 16, plus C
Answer:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]
Required
Solve
Let
[tex]u = \frac{x^2}{4}[/tex]
Differentiate
[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]
[tex]du = 2 * \frac{x}{4}\ dx[/tex]
[tex]du = \frac{x}{2}\ dx[/tex]
Make dx the subject
[tex]dx = \frac{2}{x}\ du[/tex]
The given integral becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 4u[/tex]
Square both sides
[tex]x^4= (4u)^2[/tex]
[tex]x^4= 16u^2[/tex]
Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]
Simplify
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
In standard integration
[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]
So, the expression becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
NEED HELP WITH GEOMETRY
Answer:
m<1 = 76°
m<2 = 76°
m<3 = 49°
Step-by-step explanation:
✔️m<1 = 180 - (47 + 57) (sum of triangle)
m<1 = 76°
✔️m<2 = m<1 (vertical angles are congruent)
m<2 = 76° (substitution)
✔️m<3 = 180 - (55 + m<2) (sum of triangle)
m<3 = 180 - (55 + 76) (substitution)
m<3 = 49°
What are the simplest polynomial and rational function you can imagine?
f(x) = 1/x
for rational function
Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.
△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'
Answer:
1,2,4
Step-by-step explanation:
I just took the test and got it right and its the only logical answer.
If ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:
1. △XYZ ~ △X'Y'Z'
2. AngleXZY ≅ AngleY'Z'X'
4. XZ = 2X'Z'
Dilation of ShapesWhen a shape is dilated, the new image formed is similar to the original shape.Similar shapes have proportional side but congruent corresponding angles.Thus, if ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:
1. △XYZ ~ △X'Y'Z'
2. AngleXZY ≅ AngleY'Z'X'
4. XZ = 2X'Z'
Learn more about dilation on:
https://brainly.com/question/10253650
Suppose a certain city has 50 licensed restaurants, of which 15 currently have at least one serious health code violation and the other 35 have no serious violations. There are five inspectors, each of whom will inspect one restaurant during the coming week. The name of each restaurant is written on a different slip of paper, and after the slips ate thoroughly mixed, each inspector in turn draws one of the slips without replacement. Label the jth trial as a success if the ith restaurant selected has no serious violations. A certain state has 500,000 licensed drivers, of whom 400,000 are insured. A sample of 10 drivers chosen without replacement. The ith trial is labeled if the ith driver chosen is insured. Although this situation would seem identical to the example above, the important difference is that the size of the population being sampled is very large relative to the sample size. In this case
P(S on 2 S on 1) = 399, 999/499, 999 = _________
(rounded to five decimal places.)
and
P(S on 10 S on first 9) = 399, 991/499, 991 = ___________
(rounded to six decimal places) = 0.80000
These calculations suggest that although the trials are not exactly independent, the conditional probabilities differ so slightly from one another that for practical purposes the trials can be regarded as with constant P(s) =_______ (rounded to one decimal place). Thus, to a very good approximation, the experiment is with n = 10 and p = 0.8.
Answer:
P(S on 2 S on 1) = 0.80000
P(S on 10 S on first 9) = 0.799996
P(S) = 0.8
Step-by-step explanation:
Given :
P(S on 2 S on 1)
= 399, 999/499, 999
= 0.80000
P(S on 10 S on first 9)
= 399, 991/499, 991
= 0.799996
P(S) = 0.8
PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n≠0
A) −m/n
B) m/−n
C) −m/−n
D) −(−m/−n)
Select all the observations that are true about the scatter plot
A.Most players are between 60 and 70 inches tall.
B.Players scored between 40 and 80 points per game.
C.There is an outlier at about (72, 24).
D.There is a weak positive association between height and points scored.
Answer:
c, a, d
Step-by-step explanation:
I think?
Let wong has a box of cereal that states that there are 81 calories in 3/4 cup of serving. What is the rate of calories per cup
Answer:
108 calories per cup
Step-by-step explanation:
LOOK AT PIC, ASAP, ROGHT ANSWER GETS BRAINLIEST !
Answer:
Step-by-step explanation:
The teacher has 7/8 pounds of clay given.
gives out 1/16 per station
7/8= 0.875 pound
7/8 / 1/16 pound= 14 maximum stations
14 stations divided by 2 classes = 7 in each room
Find what the value of x.
60
15
30
45
Answer:
ANS;;;; 45 ...........................
5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
Answer:
1:4:1.5
Step-by-step explanation:
Find the value of x in this triangle
Answer:
No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36Please help I’m being timed.
Answer:
da answerr is six
if DF is 6 and all sides are equal in length the EF side is going to be 6 as well
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 8?
Answer:
The function [tex]y = x[/tex] is shifted downwards by 8 units
Step-by-step explanation:
Given
[tex]y = x[/tex]
Required
Determine the transformation that gives: [tex]y = x-8[/tex]
When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b
In this case:
[tex]y = x[/tex]
[tex]b = 8[/tex]
So, the new function is:
[tex]y = x - b[/tex]
Substitute 8 for b
[tex]y = x - 8[/tex]
Hence, the function is shifted 8 units downward
Need help with this please having a hard time with it
Answer:
6.28 m^2
Step-by-step explanation:
4^2 x Pi=area of full circle
45 degree segment =1/8 of a full circle
16x3.14159=50.27 m^2 area of full circle
50.27/8=6.28 m^2 area of 1/8 circle
Answer:
90 square meters
Step-by-step explanation:
Formula for sector area--- SECTOR AREA=r^2 a/2
*Multiply the central angle by the radius squared- 45×4=180squred meter
*then, Divide by 2- 180÷2=90
071 point
Dashboard
What is the measure of anglex
Courses
X
Calendar
34
Inbox
34
History
73
63
Help
57
Answer:
B. 73°
Step-by-step explanation:
The triangle is an isosceles triangle as it has 2 equal sides. This implies that the angles opposite to the two equal sides are of the same measure.
Therefore,
x = (180 - 34) ÷ 2
x = 146 ÷ 2
x = 73°
Evaluate the function rule below when x=-2
F(x)=1/4x
Answer:
= -1/2
Step-by-step explanation:
F=1/4(-2)
F=-1/4(2)
F=-1(2)/4
F=-2/4
F= -1/2
Could use some help pls.
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
what is the value of (3.9*0.27)+/0.6724
Answer:
1.7254
Step-by-step explanation:
(3.9)(0.27)+0.6724
= 1.053+0.6724
= 1.7254
hope I helped!!
Find a. Round to the nearest tenth.
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
Help Please!!! Find the slope.
Answer:
(-1,-1),(1,-4)
Step-by-step explanation:
it is the wright answer
Please help me with this thank you!
Answer:
y = -x + 1
Step-by-step explanation:
y=mx+b
m:slope= rise/run, the line goes down 1 and over 1 so it would be -1/1 which is -1
b:y-intercept: the line crosses the y-axis at 1
plug in m=-1 and b=1 into y=mx+b
y=-1x+1
y=-x+1
Bill- Subtotal: $34.95 Tip: 15% (Find 15% of 34.95)
Answer:
I believe that 15% of 34.95 would be 5.24
Step-by-step explanation:
Guys help me please.
How to solve it?
Answer:
16.21 degrees
Simplify the expression.
(-0.75x + 6 ) + (5.5x + 7.4)
PLEASE HELP ME QUICKLY PLEASE SOMEBODY I WILL GIVE BRAINLIEST
Answer:
.
Step-by-step explanation:
PLEASE ASNWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
Answer. 32
Step-by-step explanation:
20+4+2+6=32
g(x)=1/6(8)^x-5. x=9
Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]