Plz help me simply algebra problem
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]
Find the slope of the line passing through the given points
(-11,7) and (-11, -2)
Answer:
undefined
Step-by-step explanation:
Given two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 -7)/(-11 - -11)
= (-2-7)/(-1+11)
= -9/0
Dividing by zero give an undefined answer
undefined
Hi there!
»»————- ★ ————-««
I believe your answer is:
Undefined Slope
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Recall the Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\-----------------\\m=\frac{-2-7}{-11-(-11)}=\frac{-9}{0}\\\\[/tex]
⸻⸻⸻⸻
The slope is undefined. You cannot divide by zero.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Suppose the ages at retirement for workers in the U.S. are normally distributed with an unknown population mean and standard deviation. If a random sample of 43 retirees is taken to estimate the mean retirement age, what t-score should be used to find a 80% confidence interval estimate for the population mean?
Answer: 1.302
Step-by-step explanation:
The sample used was 43 retirees, so n=43. To find the degrees of freedom:
df=n−1=43−1=42
The confidence level is given in the scenario: 80%. So,
α=1−CL=1−0.8=0.2
But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.
We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).
The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean
What is the confidence interval?A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.
here, we have,
The sample used was 43 retirees, so n=43.
To find the degrees of freedom:
df=n−1=43−1=42
The confidence level is given in the scenario: 80%. So,
α=1−CL=1−0.8=0.2
But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.
We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).
Hence, The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean
To learn more about the confidence interval, visit:
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Find integers a, b, and c such that a) a | (b - c) but a - b and a - c b) a | (2b + 3c) but a - b and a - c
Answer:
Part a) (a,b,c)=(10,19,9)
Part b) (a,b,c)=(9,3,1)
Please let be know if I have interpreted your question correctly. Thank you.
Step-by-step explanation:
Part a)
This is the way I interpret part a:
Find integers a,b,c such that a|(b-c) but a does not divide b and a does not divide c.
There are many triples satisfying part a.
One such triple is (a,b,c)=(3,10,7).
3 divides 10-7
But 3 does not divide 10 and 3 does not divide 7.
Another example is (a,b,c)=(2,7,5).
2 divides 7-5
But 2 doesn't divide 7 and 2 doesn't divide 5.
I will give another example.
(a,b,c)=(10,19,9)
10 divides 19-9
But 10 doesn't divide 19 and 10 doesn't divide 9
Part b)
This is the say I interpret part b:
a | (2b + 3c) but a does not divide b and a does not divide c
So lets let b=2 and c=5, then 2b+3c=19.
We just need to choose an a such that it divides 19 but not 2 and 5. That should be easy. 19 itself will do that.
So one (a,b,c) could be (19,2,5).
Let's try for another example.
Let b=3 and c=1.
Then 2b+3c=9.
So we just need to find an a that divides 9 but not 3 and not 1.
9 works.
So another example is (9, 3,1).
Which rays form the sides of _IHG?
H
A IG
B. GI
C. IH
D. GH
E. HI
F. HG
Given:
Angle IHG formed by two rays.
To find:
The rays that form the sides of ∠IHG.
Solution:
From the given diagram it is clear that the initial point of both rays is point H.
First ray passes through the point I with initial point H, so the name of first ray is [tex]\overrightarrow{HI}[/tex].
Second ray passes through the point G with initial point H, so the name of second ray is [tex]\overrightarrow{HG}[/tex].
The rays [tex]\overrightarrow{HI}[/tex] and [tex]\overrightarrow{HG}[/tex] form the sides of ∠IHG.
Therefore, the correct options are E and F.
What is the common difference in the following arithmetic sequence?
Answer:
There's nothing there.
Please help me on this question. Thanks
Answer:
E. p - 7 + 7 = 22 + 7
Step-by-step explanation:
p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)
p = 22 + 7
p - 7 = 22//
A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 for 300 minutes of airtime. What linear model represents the total cost, C, as a function of t, the amount of airtime in minutes?
Answer: C(t) =0.10t+25
Step-by-step explanation:
you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10
then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25
please help to find the answer
Answer:
\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}
There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No
Answer:
yes
Step-by-step explanation:
the packs are fighting for a common goal against each other
so they are competing
graph the image of the figure using the transformation given..
Answer:
In a reflection about a given axis, the distance between the original position and the axis of rotation is the same as the distance between the final position and the axis.
So, for example, we can see that point B is at a distance of one unit to the x-axis.
Then the reflected point, B', will also be at a distance of one unit from the x-axis (but in the opposite side)
so if we have:
B = (1, - 1)
Then:
B' = (1, -(-1)) = (1, 1)
The general rule for a rotation across the x-axis is:
(x, y) ⇒ (x, -y)
we only change the sign of the y-component.
So:
C = (-3, -1)
then
C' = (-3, 1)
D = (-4, -3)
then
D' = (-4, 3)
A = (0, -4)
then
A' = (0, 4)
So the graph of the new figure is the one with the vertices A', B', C', and D'.
The graph can be seen below:
Jayden earned $74.00 for 8 hours of work.
How much did he earn per hour?
Answer:
Jayden earns $ 9.25 per hour.
Step-by-step explanation:
Time Earnings
8 74
1 x
[tex]\frac{8}{1} = \frac{74}{x}\\\\8 \times x = 74 \times 1\\\\x = \frac{74}{8} = \$ 9.25[/tex]
Answer:
9.25
Step-by-step explanation:
He earned 9.25 money per hour because you divide 74/8 and it will give you 9.25. If you wanna double-check you can multiply 9.25 times 8 and you'll get 74.
If numbers collected from a survey are measurements, what are these measurements called before you perform any calculations?
Answer: raw data
Step-by-step explanation:
Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.
Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.
For the function h(x) defined below, find function f(x) and g(x) so that h(x)=(f^ g)(x) . h(x) = ((x + 2)/x) ^ 3
Answer:
Step-by-step explanation:
c
The number of accidents in a factory for each month is provided: Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26 Which hypothesis test would be appropriate for determining whether some months have a greater number of accidents than others
Answer:
Chisquare goodness of fit test
Step-by-step explanation:
Given the data:
Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26
The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;
Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.
If f(x) = 4x - 7 and g(x) = 2x + 4, evaluate fx) + g(x) for x = -3.
A-52
B --21
C-22
D-15
Answer:
Step-by-step explanation:
4(-3)-7+2(-3)+4
=-21
PLEASE HELP ASAAPPP PLEASEE
Answer:
m∠1 = 81
m∠2 = 99
Step-by-step explanation:
The angles are supplemaentary and therefor sum to 180
3x + (x + 72) = 180
4x + 72 = 180
4x = 108
x = 27
m∠1 = 3x
m∠1 = 27(3)
m∠1 = 81
m∠2 = x + 72
m∠2 = 27 + 72
m∠2 = 99
in the number 32.8 which digit is in the ones place
help pls
Answer:
Step-by-step explanation:
the number 2 is in the ones place
its a pretty easy answer
5/8
of a sum of money is $240. What is the value of the sum of money?
Answer:
The total amount is 384
Step-by-step explanation:
Let m = the amount of money
5/8 of the money is 240
5/8 * m = 240
Multiply each side by 8/5
8/5 * 5/8 * m = 8/5 * 240
m =384
The total amount is 384
what's the value of 2
[tex]2\pi[/tex]
Mike and Felix are collecting newspapers for a recycling project. Mike collected 14.66 pounds and Felix collected 11.5 pounds. Together, how many pounds of newspapers did they collect? A. 25.71 pounds B. 26.16 pounds C. 25.16 pounds D. 26.1 pounds
Answer:
26.16
Step-by-step explanation:
14.66 + 11.5 = 26.16
The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: Mike collected 14.66 pounds and Felix collected 11.5 pounds.
We know, Addition is used to figure out the total of two or more numbers. Subtraction is used to find the difference between two numbers.
Thus the total pounds of newspaper in the recycling project is given by
W=14.66+11.5
=26.16 pounds.
Hence, The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.
Learn more about BODMAS rule here:
https://brainly.com/question/29795897
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A sofa is 900 more than the price of c which system of equation can be used to find price of each piece
Answer:
$1200
Step-by-step explanation:
S + C = 1200
S = C + 900
C + 900 + C = 1200
2C + 900 = 1200
2C = 300
C = 150
The chair costs $150. The sofa is $1050.
Together they cost $1200.
A service station charges $251 for four
new tires and installation. If the
installation portion of the bill is $84,
what is the price of one tire? Write and
solve an equation.
Answer:
$41.75
Step-by-step explanation:
$251-84=167
167 divided by 4 is $41.75
Hope this helps! :)
you serve bratwurst and hamburgers at your annual picnic you want at least three bratwutsts or hamburgers for each of your 40 guest bratwurst cost 1.35 each and hamburgers 1.2 each your budget is 175
In circle S with mZRST = 86 and RS = 4 units find area of sector RST. Round to
the nearest hundredth.
R
S
T
Answer:
[tex]Area = 12.00[/tex]
Step-by-step explanation:
Given
[tex]\theta = m\angle RST = 86^o[/tex]
[tex]r = RS = 4[/tex]
Required
Area of RST
The sector area is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{86}{360} * 3.14 *4^2[/tex]
[tex]Area = \frac{86* 3.14 *4^2}{360}[/tex]
[tex]Area = \frac{4320.64}{360}[/tex]
[tex]Area = 12.00[/tex] ------------ approximated
A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders of each child are independent events. a. Write out all outcomes in the sample space for the genders of the three children. b. What should be the probability associated with each outcome
These box plote show daily low temperatures for a sample of days in two
different towns
Town A
15 20
30
40 45
H
Town B
15 20 25 30
58
H
0
5 10 15 20 25 30 35 40 45 50 55 60
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median temperature for both towns is 30%.
OB. The median for town A, 301, is greater than the median for town B.
25
C. The median temperature for both towns is 20"
D. The mean for town A, 30%, is greater than the mean for town B, 25.
Answer:
D. The mean for town A, 30%, is greater than the mean for town B, 25.
Step-by-step explanation:
From the boxplot Given ; the median value which is the value at the point in between the box ;
Th median value of Town A is 30 While the median for town B = 25
Evaluating the statements given, the most appropriate statement for the comparison made is :
The mean for town A, 30%, is greater than the mean for town B, 25 ; this is true because ; 30 > 25
What is the value of p?
Answer:
133 - x = 180
x= 47
142 - y = 180
y = 38
x + y = n
47 + 38 = 85
3/8 pounds is greater or less than 1/4 pounds ?
Answer:
3/8 pounds is greater than 1/4 pounds
Step-by-step explanation:
Turn 1/4 to 2/8 by multiplying the top and bottom by 2
Compare
3/8>2/8
Order the side lengths
Answer:
Step-by-step explanation:
First fill in the missing angles of each triangle:
angle IJK = 180-47-51 = 82°
angle KJL = 180 - 63 - 57 = 60°
Within EACH triangle, the side length is proportional to the opposite angle.
Therefore for triangle IJK,
JK < JL < IK
and for triangle JKL
JL < KL <JK
so combining (chaining) the two inequalities,
JL < LK <JK < JL < IK
Answer:
Step-by-step explanation:
first lets find angle J in triangle IJK
for angle J
47 + 51 + angle J =180 degree (sum of interior angle of a triangle )
98 + angle J =180
angle J =180 - 98
angle J =82 degree
Now lets find angle J in triangle JKL
for angle J
57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)
120 + angle J =180
angle J = 180 - 120
angle J =60 degree
now lets place the angle from samllest to largest
angle I = 41 degree
angle K = 51 degree
angle K of JKL triangle = 57 degree
angle J of JKL triangle = 60 degree
angle L =63 degree
angle J of IJK triangle = 80 degree
Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,
side opposite to angle I is JK
side opposite to angle K is IJ
side opposite to angle K of JKL triangle is JL.
side opposite to angle J of JKL triangle is LK.
side opposite to angle L is JK.
side opposite to angle J of IJK triangle is IK.
therefore required answer is
JK , IJ , JL , LK , JK , IK