Answer:
18
Step-by-step explanation:
One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.
We know JK = JH + HM + MK = 82 and JH = 22, so
82 = 22 + HM + MK
subtract 22 from both sides to isolate the unknowns
60 = HM + MK = HK
96 = HK + KU - HU
We know HK = 60
96 = 60 + KU
subtract 60 from both sides to isolate the unknown
We know KU = 36
105 = KN = KU + UC + CN
We know KU = 36 and CN = 51
105 = 36 + 51 + UC
105 = 87 + UC
subtract 87 from both sides to isolate the unknown
18 = UC
UC is what we're looking for, so the problem is solved
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
Evaluate the following expression 2x - |4 - 7x| when x = -3
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
Need help asap, thanks :)
Answer:
937
425
Step-by-step explanation:
9 is the square of 3
7 is 1 more than 6, the double of 3
4 is the square of 2
5 is 1 more than 4, 2x 2
Is there more?
Answer:
425
Step-by-step explanation:
1st = 2^2
3rd = 2*2 + 1
Given that QR¯∥ST¯, identify the length of PT¯.
Answer:
PT = 16.3 units
Step-by-step explanation:
From the picture attached,
From ΔPQR and ΔPST,
QR ║ST [Given]
PQ is a transversal line.
Therefore, ∠PST ≅ ∠PQR [Corresponding angles]
∠P ≅ ∠P [Common angle]
ΔPQR ~ ΔPST [By AA property of similarity of two triangles]
Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.
[tex]\frac{PQ}{PS}=\frac{PR}{PT}[/tex]
[tex]\frac{12+28}{28}= \frac{PT+7}{PT}[/tex]
[tex]\frac{40}{28}=1+\frac{7}{PT}[/tex]
[tex]\frac{10}{7}-1=\frac{7}{PT}[/tex]
[tex]\frac{10-7}{7}=\frac{7}{PT}[/tex]
PT = [tex]\frac{49}{3}[/tex]
PT = 16.3 units
If g(x) = (x + 2)/3, find g(-8).
Answer:
-2
Step-by-step explanation:
Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2
Answer:
g(- 8) = - 2
Step-by-step explanation:
To find g(- 8) substitute x = - 8 into g(x) , that is
g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
Which of the following characteristics best describes the given function of
f(x) = -2x + 5 ?
A) minimum, always decreasing, exponential function
B) minimum, always decreasing, linear absolute value function
C) no maximum or minimum, always increasing, linear function
D) no maximum or minimum, always decreasing, linear function
Answer:
D
Step-by-step explanation:
the Negative sign in front of 2 shows the function is decreasing
please please jhelp me....
Answer:
2·v - (u + w) = (5, 0, -10)
Step-by-step explanation:
The given values of the vectors are;
u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)
The required vector is 2·v - (u + w)
2 × v = 2 × (4, 0, -2) = (8, 0, -4)
(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)
Therefore;
2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)
2·v - (u + w) = (5, 0, -10)
What is (9.3x10^34) in scientific notation?
(3.1x 10^17)
Answer:
B
Step-by-step explanation:
3 x 10 ^17
Which is B
edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.
Then, when doing exponents, heres a rule of thumb.
When adding exponents, the base must be the same.
9.3 ^ 100 + 9.3 ^ 3 = 9.3 ^103
9.3 ^ 29 + 4.4 ^ 54 = cannot be solved
When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.
When dividing exponents, you just subtract exponents. The bases must be the same though of course.
3 ^ 30
----------
3 ^ 20
==== 3 ^ 10
When multiplying exponents, you add exponents like normal. Bases are the same ect.
4 ^ 49 x 4 ^ 2 = 4 ^ 51
When doing scientific notation, the same rule applies.
The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.
The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.
42°
Х
please help with this
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
find the surface area of the cylinder and round to the nearest tenth
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
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
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]
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:
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.
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.
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
(SAT Prep) Find the value of x
Answer:
55°Step-by-step explanation:
It should be:
x - 25 = 45 - 15x = 30 + 25x = 55Find 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]
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.
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
Can u help solve this problem
Answer:
45in³
Step-by-step explanation:
6 x 5 x 3 = 90/2 = 45in³
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
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:
please click thanks and mark brainliest if you like :)
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?
Find 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
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 = 168
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
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
