Please help me hurry
Answer:
m<P = 48°
m<Q = 132°
Step-by-step explanation:
Given:
m<S = (14x + 6)°
m<R = (5x + 3)°
Required:
m<P, m<Q
Solution:
✔️First, find the value of x
m<S + m<R = 180° (consecutive angles are supplementary)
14x + 6 + 5x + 3 = 180 (substitution)
Collect like terms
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
x = 9
✔️m<P = m<R (opposite angles are congruent)
m<P = (5x + 3)° (substitution)
Plug in the value of x
m<P = 5*9 + 3
m<P = 48°
✔️m<Q = m<S (opposite angels are congruent)
m<Q = (14x + 6)°
Plug in the value of x
m<Q = 14*9 + 6
m<Q = 132°
Solve the equation. Find all real solutions.
9r3 - 144r = 0
Answer:
r=0
Step-by-step explanation:
9r x 3 - 144r = 0
27r-144r=0
-117r=0
r=0
A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.
Answer:
Both pools will have the same amount of water after 11 minutes and 32 seconds.
Step-by-step explanation:
Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:
Team Sunshine:
30 + (8X) = T
30 + 8x10 = 110
30 + 8x11 = 118
30 + 8x12 = 126
30 + 8x11.5 = 122
30 + 8x11.6 = 122.8
30 + 8x11.55 = 122.4
30 + 8x11.54 = 122.3
Team Breeze:
180 - (5X) = T
180 - 5x11 = 125
180 - 5x12 = 120
180 - 5x11.5 = 122.5
180 - 5x11.6 = 122
180 - 5x11.55 = 122.25
180 - 5x11.54 = 122.3
1 = 60
0.54 = X
0.54 x 60 = X
32.4
Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.
Heather paid $37.50 for a pizza to be delivered to her house. She had a coupon for 30% off and
there is a tax of 8%. What was the total cost of the pizza to be delivered?
Answer:
The original cost of the pizza before the discount coupon and the tax was $49.28.
Step-by-step explanation:
Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:
100 - 8 = 92
100 = 37.50
92 = X
92 x 37.50 / 100 = X
34.50 = X
100 - 30 = 70
70 = 34.50
100 = X
100 x 34.50 / 70 = X
49.28 = X
Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.
There are 16 ounces in 1 pound. Juan is mailing a package that weights 10 pounds. He wants to know the weight of the package in ounces.
Complete the sentence.''
Answer:
160 ounces
Step-by-step explanation:
Easy mental math.
16oz × 10 pounds = 160 oz
please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)
Please help meeeeeeee
Find the value. Show step by step. 0.5 x 0.5 x 0.5=
Answer:
0.125
Explanation:
0.5 x 0.5 x 0.5 = 0.125
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
Answer this for me please.
Please Help! SCAMMERS WILL BE REPORTED. Use Gauss-Jordan elimination to solve the following linear system
-4x + 4y + 5z = 9
-2x + 2y + z = 3
-4x + 5y = 4
Answer:
This is possible and the answer is (-1,0,1)
Step-by-step explanation:
It’s difficult to write out matrices here.
I apologize!
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
what does any order grouping mean when adding expressions
Which properties are used?
Answer:
To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)
We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 10 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 2 minutes. What is the smallest sample size that we should consider
Answer:
The smallest sample size that we should consider is 68.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 10 minutes.
This means that [tex]\mu = 10[/tex]
What is the smallest sample size that we should consider?
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*10[/tex]
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up:
The smallest sample size that we should consider is 68.
What is the diameter of a circle with a circumference of 132 ft? Use 227 for π . Round your answer to the nearest whole number.
Answer:
The answer is 132 feet
Step-by-step explanation:
That's the diameter.
C = pi * d
C = 3.14 * 42
C = 131.88
Thar rounds to 132 feet.
Solve - x/6 >_ 3
A
B
C
C
Answer:
C
Step-by-step explanation:
-×/6>_3
-x>_3×6
-x>_18
x<_-18
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: clockwise 90 degrees
Step-by-step explanation:
Answer:
Clockwise 90º
Step-by-step explanation:
270º/90 = 3
This means to rotate the quadrilateral 3 times amongst the x and y axis.
Counterclockwise 90º x1 = y at (0,-3)
Cc90º x2 or cc180º = y at (3,0)
Cc90º x3 or cc270º = y at (0,3)
If you wanted to move clockwise to (0,3), you'd only have to move 90º
Counterclockwise 270º = Clockwise 90º
what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a
Answer:
A, resolving conflicts and negotiating with others
D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.
Step-by-step explanation:
Answer:
its A,B,D,F
developing objectives and strategies
assisting and caring for others
establishing and maintaining interpersonal relationships
interpreting the meaning of information for others
f(x) = x²+1
What is f(f(x))?
Answer:
f(f(x)) = x⁴ + 2x² + 2
Step-by-step explanation:
if f(x) = x² + 1, then f(f(x)) is equal to:
f(x)² + 1
= (x² + 1)² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2
Denise made 1/2 of a liter of hot chocolate. Each mug holds 1/10 of a liter. How many mugs will Denise be able to fill?
Answer:
5 mugs
Step-by-step explanation:
1/2 converted into 10ths would be 5/10 ... meaning 5 mugs
PLS ANSWER QUICK, HELP
Answer:
1014 in
Step-by-step explanation:
(13 x 13) x 6 = 1014 in^3
Answer:
The answer should be A (676)
Step-by-step explanation:
6x+2+11x+8=180 what's the value of x?
Answer:
x=10
Step-by-step explanation:
Can someone help me
Answer:
x is 10
Step-by-step explanation:
draw a line AD to make triangle ABD (which will be a right triangle)
use Pythagorean theorem to find the length of AD
[tex]a^{2} +b^{2} =c^{2} \\6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]
Side AD is a radius of the circle, x is also a radius, so they are equal so x is 10
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
1) congruent
2) corresponding angles
3) 3x+21 = 6x-60
4) x =9
Step-by-step explanation:
1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.
2) the file below
3) we know they are equal because the congruent correspoding angles.
4) 3x+21 = 6x-60
=> 21 = 9x-60
=> 81 = 9x
=> 9 = x
Consider the diagram.
Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.
The congruence theorem that can be used to prove △MNP ≅ △ABC is
SSS.
ASA.
SAS.
AAS.
SAS, I guess (side angle side)
Step-by-step explanation:
Since AM=BC then AM+MB=MB+BN.
Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent
Answer:
B. SAS (Side Angle Side)
Step-by-step explanation:
its right on E2020
S - 4= -8
What is S?
Answer:
S = -4
Step-by-step explanation:
-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.
Answer:
s-4+4=-8+4
s=-4
Step-by-step explanation:
x is equal to -4
Please calculate the probability using the following equations (in document)
Substitute u = t ³/2592 and du = t ²/864 dt. Then
[tex]P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du[/tex]
The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives
[tex]P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}[/tex]
you guy have any song requests?
Answer:
Never want to give you up
Step-by-step explanation:
Brainliest? pls
Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky
My ordinary life
SoFaygo - Knock Knock
Streets
D !ck
What is the slope of the line?
Answer:
-2
Step-by-step explanation:
This is an easy way to do it with points
(0,2)
+1 -2
(1,0)
rise/run -2/1= -2
Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.
Answer: Hey there !! The answer is 2.
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
The absolute mean deviation is 2.
What is mean absolute deviation?The mean absolute deviation of a dataset is the average distance between each data point and the mean.
We have,
10, 9, 3, 8, 10
We first find the mean of 10, 9, 3, 8, 10
Mean = (10 + 9 + 3 + 8 + 10) / 5
Mean = 40 /5 = 8
Data sets
10 | 10 - 8 | 2
9 | 9 - 8 | 1
3 | 3 - 8 | 5
8 | 8 - 8 | 0
10 | 10 - 8 | 2
Mean absolute deviation
= (2 + 1 + 5 + 0 + 2) / 5
= 10 / 5
= 2
Thus the absolute mean deviation is 2.
Learn more about absolute mean deviation here:
https://brainly.com/question/10528201
#SPJ1
1.) Put in order from least to
greatest: 7, -11, 4, -2, -5
Answer:
least to greatest is how number appear on a number line. numbers less than 0 or indicated with a negative number. if the number is greater than 0 it's indicated without the negative as the plus is implied.
-11, -5, -2 ,4 , 7