Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer: r = 8
Step-by-step explanation:
The angles a VOA vertically opposite angles which means they are congurent and equal
6r + 47 = 95
6r = 95 - 47
6r = 48
r = 48/6
r = 8
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During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?
Answer:
43.49
Step-by-step explanation:
let his normal hourly rate be x
16x+7x/2=848
39x/2=848
x=848 ÷ 39/2
=43.48717
Pls help me with this question ASAP
Answer:
8
Step-by-step explanation:
(3+5)^2/8=(8)^2/8=64/8=8
Answer: 8
Step-by-step explanation:
(3+5)^2/8=
(8)^2/8=
64/8=
8
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
someone please help!!
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?
Answer:
6 choose 3 = 20
Step-by-step explanation:
[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]
6 choose 3 = 20
The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school
Total number of fruits = 1+1+1+1+1+1
Total number of fruits = 6
n = 6
He wants to bring three pieces of fruit to school,
r = 3
Total combination:
= C(6, 3)
= 6!/(6-3)!3!
= 720/(6)(6)
= 720/36
= 20 combination
Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.
Learn more about permutation and combination here:
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A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?
please show work it’s for calc
Answer:
-93
Step-by-step explanation:
This is just.a matter of using a couple of integration rules and plugging in then using order of operations.
Difference rule and constant multiple rule will be used here.
3(-17)-7(6)
-51-42
-93
Answer:
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]
[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Find tan a Picture included
Answer:
5/12
Step-by-step explanation:
We know its a right angled triangle because of phythogorean theorem,
h^2=p^2+b^2
Take angle A as reference,
13^2=12^2+5^2
or,169=144+25
169=169
Now,
We know,
Tanx=p/b
As we took angle A as reference,
p=5
b=12
h=13
Put that in tanx=p/b
We get,
tanx=p/b=5/12
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}[/tex]
PLEASE HURRY
Select the correct answer.
Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?
A.
18x + 24y ≤ 225
x + y ≥ 10
B.
24x + 18y ≥ 225
x + y ≤ 10
C.
18x + 24y ≥ 225
x + y ≤ 10
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation:
"He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation: "He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Which diagram shows lines that must be parallel lines cut by a transversal?
Answer:
Step-by-step explanation:
B
The first diagram shows lines that must be parallel lines cut by a transversal.
Given that, two diagrams out of which we are to select the one which shows lines must be parallel lines cut by a transversal.
In the first figure, the sum of two interior angles is given by
115° + 65° = 180°
which shows that the two lines cut by a transversal are parallel.
So, this option is correct.
In the second figure, the sum of two angles on a straight line is given by
115° + 65° = 180°
which shows that a straight angle is of measure 180°, which does not have any relation in proving the two lines to be parallel.
So, this diagram is not correct.
Thus, the first diagram is the correct option.
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I need help ASAP!!Please explain how to do the problem
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation:
Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
Helpppppp pleaseeee anyoneeeee!!!!!
Answer:
Create a function representing number of published articles per month:
[tex]a=12m+60[/tex]
Where:
a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)Now substitute in the values of m to get the a-value:
m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168I) 54,2 X 94= ?
J) 36,39 X 28= ?
K) 43,73 X 74,4= ?
(por favor conta armada)
Answer:
I) 54.2 X 94 = 5094.8
J) 36.39 X 28 = 1018.92
K) 43.73 X 74.4 = 3253.512
monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?
Answer:
linear. Each week adds another 10 dollars.
Step-by-step explanation:
Total = 340 + 10*w
w is the weekly amount
Suppose 5 weeks pass
Then the total amount in her bank account is
Total = 340 + 10*5
Total = 340 + 50
Total = 390
The equation is Linear.
Calculate the value of x for the following equations. Show your working.
Answer:
0.86603 is the answer of the question
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Given
64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )
64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27
64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27
64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27
64 x³ = 27 ( divide both sides by 64 )
x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )
x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]
If every 1,000 views is 2 cents how much would I have if it was 100,000 views
Answer:
It's answer is 200 cents bun not sure
Someone please help me out!!!! Its a picture marking brainliest
Answer:
75.875m^2
Step-by-step explanation:
12-4=8
8x4=32
12x4=48
1/2(1.5+4)1.5=4.125
32+48-4.125=75.875
This...ik what mean is I'm just trying to find what the original numbers would be?
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
please help geometry!!
Answer:
A' (-5, 5)
B' (20, 0)
C' (5, -15)
Step-by-step explanation:
Multiply each coordinate by 5, and your result is given above.
Answer:
Step-by-step explanation:
if a = 4 - √15, find a^4 +1\a^4
Hey! Please answer this question with steps. I will mark you brainliest.
Random answers like 'sdfgh' or wrong answers will be reported
Answer:
[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Step-by-step explanation:
[tex]a=4-\sqrt{15}[/tex]
[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Find the perimeter and area , Please help me on this will give brainlist
Answer:
Area: x^2+x-6
Perimeter: 4x+2
Step-by-step explanation:
Area: multiply x+3 and x-2 and combine the like terms
Perimeter: multiply the length and width by two, then combine the like terms.
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Answer number 3. Since it's obvious in the picture.
Answer:
-2 and -1
Step-by-step explanation:
Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous
Can u help solve this problem
Answer:
45in³
Step-by-step explanation:
6 x 5 x 3 = 90/2 = 45in³
For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
999999999999999*22222222222222
Answer:
22222222222221977777777777778
Step-by-step explanation:
I hope it is clear for you. please rate brainliest
Answer: 2.22222222E+28
Step-by-step explanation:
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(SAT Prep) Find the value of x
Answer:
55°Step-by-step explanation:
It should be:
x - 25 = 45 - 15x = 30 + 25x = 55Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in
Answer:
27 inches
Step-by-step explanation:
We can use The Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21.6 ^2 + 16.2^2 = c^2
466.56+262.44 = c^2
729 = c^2
Taking the square root of each side
sqrt(729) = sqrt(c^2)
27 = c