Write an equivalent expression so that each factor has a single power. Let m, n, and p be numbers.
Answer:
a^m-n
Step-by-step explanation:
If we have the expression m^a / m^n, we can use exponent rules to simplify this.
Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.
So a^m / a^m will be equal to a^m-n
Hope this helped!
(4x^2- 10x+9)+(6x-2)-
Answer:
-2^5
Step-by-step explanation:
Answer:
24^3-52x^2+34x+18
find the value of x. Please help!!!
The answer is 8. Teacher gave us the answer , but I need to show my work.
Answer:
51+(4x+7)=90
4x+58=90
-58 -58
4x=32
4x/4=32/4
x=8
Step-by-step explanation:
Points A’, B', and ' are the images of 180-degree rotations of A, B, and C, respectively, around point 0.
MB
C'
А
A
799
35°
0
С
B
Answer each question and explain your reasoning without measuring segments or angles.
1.
Name a segment whose length is the same as segment AO.
2.
What is the measure of angle A'OB'?
Answer:
otation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin.(i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5) ii) The new position of the point B (-2, 7) will be B' (2, -7) (iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution:
180 Degree Rotation
0Save
When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution:
180 Degree Rotation about the Origin
0Save
On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
Step-by-step explanation:
How do you figure out the value of 1/10th of 20.44
Image attached below. Please help.
Answer:
T,F,T,F,T
Step-by-step explanation:
1. It crosses it there becuase 4(0)-15=-15 for y
2: both top and middle answers are -23, so continuous
3: it increases over that period because the exponent keeps getting bigger
4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing
5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.
Carlos earns $7.50 per hour cutting grass on the weekends with his dad. Last Saturday, he worked 5 and 1 over 2 hours. On Sunday he worked 8.5 hours. How much money did Carlos earn last weekend?
Answer:
$105
Step-by-step explanation:
5.5+8.5=14
14 * 7.5=105
Henry wants to earn at least $41 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Henry could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
8t - 7 ≤ 41 || t ≤ 6
Step-by-step explanation:
8t - 7 ≤ 41
+7 +7
---------------
8t ≤ 48
÷8 ÷8
----------------
t ≤ 6
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population f
Complete Question
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)
Answer:
a
[tex]P(480 < X < 590) = 0.3952[/tex]
b
[tex]x = 664.5 [/tex]
c
[tex]x_1 = 474.67[/tex]
The value is called the [tex]40^{th}[/tex] percentile
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 500[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the percentage of the score that are between 480 and 590 is mathematically represented as
[tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma } < \frac{ 590 - 500}{ 100} )[/tex]
Here [tex]\frac{ X -\mu}{\sigma } = Z[/tex]
=> [tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < Z < \frac{ 590 - 500}{ 100} )[/tex]
=> [tex]P(480 < X < 590) = P(-0.2< Z < 0.9 )[/tex]
=> [tex]P(480 < X < 590) = P(Z < 0.9 ) - P(Z<-0.2) [/tex]
From the z table (reference calculator dot net )
[tex] P(Z < 0.9 )= 0.81594 [/tex]
And
[tex] P(Z < -0.2 )= 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.81594 - 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.3952[/tex]
Converting to percent
[tex]P(480 < X < 590) = 0.3952 * 100[/tex]
[tex]P(480 < X < 590) = 39.52\% [/tex]
The percentage invited to join the club is the top 5% , this can be mathematically represented as
[tex]P(X > x ) = 0.05[/tex]
Here x is the score that is within the top 5%
=> [tex]P(X > x) = P( \frac{X - \mu }{\sigma } > \frac{ x - 500}{100} )= 0.05[/tex]
Generally the critical value of 0.05 from the normal distribution table is
[tex]Z_{0.05} = 1.645[/tex]
So
[tex]\frac{ x - 500}{100} = 1.645[/tex]
=> [tex]x - 500 = 164.5[/tex]
=> [tex]x = 664.5 [/tex]
Generally the probability of having a score that separates the top 60% of the population from the bottom 40%
[tex]P(X > x_1 ) = 0.60[/tex]
=> [tex]P(X > x_1) = P(\frac{ X - \mu }{\sigma } > \frac{x - 500}{100} ) = 0.60[/tex]
The critical value of 0.60 from the normal distribution table is
[tex]Z_{0.60} = - 0. 2533[/tex]
So
[tex]\frac{x_1 - 500}{100} = -0.2533[/tex]
=> [tex]x_1 = 474.67[/tex]
From the hint given we can see that this value is called the [tex]40^{th}[/tex] percentile
Will give brainliest if all answers! plz do it in under 30 min. Will accept by a hour.
You dont have to answer all of them but if you do I will give brainliest!
Answer:
B A C C
Step-by-step explanation:
Stanley is looking to retire and move near the ocean. The Jersey Shore has seen a rise in sea levels the past few years. These high tides have caused floods in 100 places that call themselves Jersey Shore towns, which are on or within reasonable distance of the ocean. Stanley is nervous about possible floods and would like to be prepared for costs associated with them. As Stanley’s friend and an expert in risk management, you collect past information and have constructed the following probability distribution for the number of floods per town per summer at the Jersey Shore. # of floods per town per summer Probability 0 0.10 1 0.15 2 0.26 3 0.30 4 0.15 5 0.04 a. Calculate the expected frequency of floods per town per summer. (2 points) b. Calculated the variance. (2 points)
Answer:
2.37 ; 1.6731
Step-by-step explanation:
Given the data:
X:___0____1____2____3____4____5
P(x):_0.10_0.15_0.26__0.30_0.15__0.04
the expected frequency of floods per town per summer
Σ(flood per Town per summer) * probability
Σ(X)*p(x)
Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)
= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)
= 2.37
Variance (s²) :
Σ[x². P(x)] - u²
Using an online variance calculator to save computation time :
s² = 16731 / 10000
s² = 1.6731
The ratio of my action to comedy movies is 4:5. If I have 35 comedy movies, how many are action? *
Answer:
28 action movies
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{5} = \frac{x}{35}[/tex] Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28So, if you have 35 comedy movies, you would have 28 action movies.I hope this helps!
Find all the factors of 125
Answer:
1,5,25,125,
all can be added or multiplied to equal 125
Perform the indicated operations. Express the result in scientific notation.
(5.7 x 105) + (4.6 x 106)-(2.9 x 105)
O 7.4 x 105
O 3.3 x 106
O 4.88 x 106
O 5.17 x 106
Answer:
The answer is C 4.88 x 106
Step-by-step explanation:
Write an equation of a line parallel to the line below in point-stope form that passes through the point (-1,5).
y = 1/4x - 6
y + 1 = - 4(x - 5)
y + 1 = 1/4(x - 5)
y - 5 = 1/4(x + 1)
y- 5 = - 4(x + 1)
How can you solve linear equations by combining like terms?
Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
I HOPE THIS HELPED ! :) mark me brainlist pls
Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6
the average weight of 6 people is 173, a 7th person gets on and now the average weight is 165, how much did the 7th person weigh
Answer:
117
Step-by-step explanation:
The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.
For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.
The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.
So the weight of the 7th person is 165-48 = 117 pounds.
Answer:
The 7th person weighted 117
Step-by-step explanation:
Average Value
The mean or average of a number n of measurements is defined as the sum of all values divided by n.
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}\\[/tex]
The question gives us some input data. The average weight of n=6 people is [tex]\bar x=173[/tex]. With this information, we can set this relationship:
[tex]\displaystyle 173=\frac{\sum x_i}{6}[/tex]
From the above equation, we know the sum of the first 6 persons:
[tex]\sum x_i=6*173=1,038[/tex]
When a 7th person gets on, the new average gets down to 165 and n=7. The equation for the new average is:
[tex]\displaystyle 165=\frac{\sum x_i+X}{7}[/tex]
Note we have a new summand to the numerator. It's the weight of the 7th person. Let's solve for X:
[tex]\displaystyle 165=\frac{1,038+X}{7}[/tex]
Multiply by 7:
[tex]7*165=1,038+X[/tex]
Operate and swap sides:
[tex]1,038 +X=1,155[/tex]
[tex]X=1,155-1,038=117[/tex]
The 7th person weighted 117
Luci cuts a board that is 5/9 yard long into pieces that are 5/18 yard long. How many pieces does she cut?
Luci cuts ___ pieces
Answer:
2
Step-by-step explanation:
9x2=18
5x2=10
10/18=5/9
10/18 divided by 2 5/18
so its 2
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
What would be the Range of this Pattern?
A. All integers greater than 4
B. All integers greater than 0
C. All real numbers greater than 6
D. All real numbers
Answer:
All integers greater than 4
Step-by-step explanation:
I took the test.
Imran and Sarah share 24 sweets between them in the ratio 2:1
How many sweets does Imran get?
The correct answer is 12.
I hope this helps you!!
Help! I’ll mark you brainly and give extra points!!
Answer: 4. No, the graph is NOT a function because using the vertical line test, it intersects at two points at a time.
5. Yes, it is a relation, and it is also a function because once those points are plotted if given the vertical line test, there would not be two points crossed at once. So, yes, it is a function.
6. Yes, it is a relation. No, it does NOT make up a function because a vertical line would intersect all the points given.
What angle would it be?
Find the equation of this line.
Simplify the fractional part.
(Picture)
Answer:
y = 1/3x + 2
Step-by-step explanation:
Rise over run + y intercept
WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
a
The slope is Negative four-thirds, and the y-intercept is 4.
b
The slope is Negative four-thirds, and the y-intercept is 3.
c
The slope is Negative three-fourths, and the y-intercept is 4.
d
The slope is Negative three-fourths, and the y-intercept is 3.
Answer:
its d
Step-by-step explanation:
y=-3/4+3 I think that's right
Answer:
D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3
Please vote brainliest :)
What is 8/9 - 1/18?
Thank you.
:)
Answer:
0.83 but draw a repeating bar over the 3
Step-by-step explanation:
what is the product of 0.086 x 10 power 2
Answer:
The product is 8.6
Step-by-step explanation:
you move two decimal places to your right
I Given f(x) = 3x + 2 and g(x)= x? – 5. Find each of the following functions.
1. (f+g)(x)
2. (f- g)(x)
3. (fg)(x)
4. (f/g)(x)
2
Answer:
a) 4x-3
b)2x+7
c) 3x^2-13x-10
d) (3x^2+2)/(x-5)
Step-by-step explanation:
If you care to learn how these were solved and weren't just looking for answer let me know.
=2 2/5 x 4 (What is the answer?)
Answer:
um 22 /20
is the question
if it's the case of factorised
than answer is 11/10
Answer:
48/5
Step-by-step explanation:
I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].
This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]
I WILL GIVE BRAINLYIST!!
For every 4 apples, there are
_____oranges
Answer:
12
Step-by-step explanation:
so here, the ratio of apples to oranges is 1:3. this can also be represented as the fraction 1/3. now, we are trying to find the number of oranges when there are 4 apples using this ratio. this means 1/3=4/x, where x is the number of oranges. we can multiply 1 by 4 (the numerator) to get 4, so we can multiply the denominator of the first fraction by 4 as well 3*4=12, so there are 12 oranges for every 4 apples. (4/12 can also be written as 4:12.)
Answer:
12
Step-by-step explanation:
nos of oranges for 4 apples = 4x 3
= 12
therefore, the ratio is 4:12 i.e. 1:3
pls mark as brainliest!