Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: [tex](a^x)^y=a^x^y[/tex] ...the exponents were multiplied.
Using power rule.
We have,
⇒[tex](2p^-3)^5[/tex]
⇒[tex](2^5)(p^-3^*5)[/tex] ...taking exponents individually.
⇒[tex]32(p^-^1^5)[/tex] ...[tex]2^5=2*2*2*2*2=32[/tex]
⇒[tex]32p^-^1^5[/tex]
So our final values are 32p^-15
Mrs. chill has 26 yards of ribbon. She places equal amounts on 3 different spools to sell. How much ribbon in yards are on each spool
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5
Oy-4 = (x + 2)
Oy+4 = }} (x-2)
O y+2 = {(x-4)
Oy-2=}} (x +4)
The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is Oy+4 = (x-2).
Explanation:The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is option B:
Oy+4 = (x-2)
To understand why this equation represents the line, we can use the slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The given slope is 2/5, so the equation becomes y = (2/5)x + b. Plugging in the coordinates of the point (-2, 4), we can solve for 'b' and find that it is 4. Therefore, the equation representing the line is y = (2/5)x + 4.
Adrian is 8 years old. In three years he will be 1/3 of his mother’s age. How old will his mother be in 3 years?
Answer:
His mom will be 33 years old.
Step-by-step explanation:
Since Adrian is 8, 3 years from now he will be 11. 11 is 1/3 of 33. So, his mom is currently 30 years old.
Find the common ratio for the following sequence. Type a numerical answer in the space provided. If necessary, use the
I key to represent a fraction bar. Do not type spaces in your answer.
64, 16, 4, 1, ...
Answer:
Step-by-step explanation:
common ratio= second term/first term
=[tex]\frac{16}{64}=\frac{1}{4}[/tex]
64, 16, 4, 1, ...
1*1/4 = 1/4
64, 16, 4, 1, 1/4
Is 18/18 a proper fraction
18/18 is a proper fraction.
which expression is equivalent to 4a + (-6b)-3a+2b
Answer:
a-4b
Step-by-step explanation:
4a+(-6b)-3a+2b
4a-6b-3a+2b
4a-3a-6b+2b
a-6b+2b
a-4b
which of the following graphs represents a quadratic function f(x)=(x-3)^2+5
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=(x-3)^2+5[/tex]
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (3,5)
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
[tex]x=3[/tex] ---> axis of symmetry
Find the y-intercept (value of f(x) when the value of x is equal to zero)
For x=0
[tex]f(x)=(0-3)^2+5=14[/tex]
The y-intercept is the point (0,14)
Find the x-intercept (values of x when the value of f(x) is equal to zero)
For y=0
[tex]0=(x-3)^2+5[/tex]
[tex](x-3)^2=-5[/tex] ---> has no real solutions
The function has no x-intercepts (The roots of the quadratic equation are complex numbers)
therefore
The graph in the attached figure
a basketball team won 40 games during a season of 85 games. what is the ratio of win to losses? brainly
Answer:
the answer is 9/8
Step-by-step explanation:
No. of games=85
No. of wins= 40
no. of losses= 85 - 40
= 45
ratio= 40/45
= 9/8
Mr. Wilson owes $288.40 on his credit card. He would like to make 4 equal payments. How much will each payment be?
Each of the 4 payments made by Mr. Wilson will be $72.10.
How much will each payment be?
From the question, we have the following parameters that can be used in our computation:
Amount owed = $288.40
Number of payments = 4
To calculate the amount of each payment, we can divide the total amount owed by the number of payments:
Amount per payment = Total amount owed / Number of payments
Substitute the known values into the equation
Amount per payment = $288.40 / 4 =
Amount per payment = $72.10
Hence, each payment will be $72.10.
What is 1 1/6 * 2/5 in a fraction
First, turn both fractions into improper fractions.
1 1/6 = 7/6
2/5 = 2/5
Second, multiply.
7/6 * 2/5 → 7*2/6*5 → 14/30
Third, Simplify.
14/30 → 7/15
Best of Luck!
Answer:
Make mixed number into an improper fraction.
Then multiply
14/30
= 7/15
Nine ones equals what
Answer:
Nine ones = one hundred and eleven million one hundred and eleven thousand and one one hundred and eleven.
Step-by-step explanation:
i) nine ones equals = 111,111,111 which is one hundred and eleven million one hundred and eleven thousand and one one hundred and eleven.
The diagram shows the outline of a dining room with a bay window. Explain how to find the area of the room.
Answer: Divide the room into two figures (a rectangle and a trapezoid), then find the area of both figures and add them in order to calculate the area of the dining room.
Step-by-step explanation:
Divide the room into two figures: a rectangle and a trapezoid (as you can observe in the picture attached).
You need to find the area of the trapezoid and the area of the rectangle and then add them. This sum will be the area of the dining room.
First, you need to remember that:
1. The area of a rectangle can be calculated with this formula:
[tex]A_r=lw[/tex]
Where "l" is the lenght and "w" is the width of the rectangle.
2. The following formula is used to calculate the area of a trapezoid:
[tex]A_t=h(\frac{B+b}{2} )[/tex]
Where "B" and "b" are the bases of the trapezoid and "h" is the height of the trapezoid.
Therefore, the area of the dining room will be:
.[tex]A_{room}=A_r+A_t\\\\A_{room}=lw+h(\frac{B+b}{2} )[/tex]
Answer:
Break the figure into two rectangles and two triangles. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of the dining room.
Step-by-step explanation:
Break the figure into two rectangles and two triangles. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of the dining room.
Helping my niece out it’s been ages since I’ve done this please help!
Answer:Just add the top numbers on all of them :)
Step-by-step explanation:
The data to represent average test scores for a class of 16 students includes an outlier value of 72. If the outlier is included, then the mean is 86. Which statement is always true about the new data when the outlier is removed?
a.) The mean would increase.
b.) The mean would decrease.
c.) The median would increase.
d.) The median would decrease.
Answer:
Step-by-step explanation:
when the outlier is removed, the mean increases.....the removing of the outlier does very little to the median or mode.
example :
1,2,3,4,5
mean = 15/5 = 3......median = 3
now throw in an outlier..
1,2,3,4,5,50
mean = 65/6 = 10 5/6.....median = (3 + 4) /2 = 7/2 = 3.5
as u can see, it drastically affects the mean...and does little to the median
ur answer is A
Answer:
A
Step-by-step explanation:
What is the sqaure root of 400????? Help now PLEASE
Answer: 400 sq root is=20
Step-by-step explanation:
400sq root=20
Answer:
The the square root of 400 is 20.
Step-by-step explanation:
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
CLEAR
The time spent for reading is 31.3 minutes
Solution:
You read 9.75 pages in your science book and 24.5 pages of a play for English class
Therefore,
Number of pages read in science = 9.75
Number of pages read in play = 24.5
Also given that,
Time taken to read each page of science = 1.2 minutes
Time taken to read each page of play = 0.8 minute
To find: Time spent for reading
Time spent for reading = Number of pages read in science x Time taken to read each page of science + Number of pages read in play x Time taken to read each page of play
[tex]Time\ spent\ for\ reading = (9.75 \times 1.2) + (24.5 \times 0.8)\\\\Time\ spent\ for\ reading = 11.7 + 19.6\\\\Time\ spent\ for\ reading = 31.3[/tex]
Thus time spent for reading is 31.3 minutes
in the diagram,MNO is a right angled triangle,Mn=13 cm and MN is 5 cm. Find the value of x
Answer:
x = 12
Step-by-step explanation:
Pythagoras' Theorem
[tex]a^{2} = b^{2} + c^{2}[/tex]
a = 13
b = 5
c = x
[tex]13^{2} = 5^{2} + x^{2}\\169 = 25 + x^{2}\\169 - 25 = x^{2}\\144 = x^{2}\\12 = x[/tex]
After applying the Pythagorean theorem on the given right-angled triangle the value of x we get 12.
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
The Pythagoras theorem for a right-angled triangle:
(Hypotenuse)²= (Perpendicular)² + (Base)²
For the given triangle:
The hypotenuse 'MC' = 13
The perpendicular 'MN' = 5
Base 'NC' = x
Substituting these values into the Pythagorean theorem:
(13)²= (5)² + (x)²
Simplifying the square,
169 = 25 + x²
Subtracting 25 we get,
x² = 144
Take square root on both sides,
x = 12
Hence,
The value of x is 12.
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What is six times the difference of a number is 9 and 18
Answer: 6 x (18-9) = 54
Step-by-step explanation: 18-9 is 9 and 6 times 9 is 54
It will take
scoops of corn to feed 5 deer.
It will take
scoops of corn to feed 10 deer.
It will take
scoops of corn to feed 30 deer.
(use the table listed to help)
To determine the number of scoops of corn needed to feed different numbers of deer, we can use proportional reasoning. However, since the table mentioned in the question is missing, we can't find the exact values.
Explanation:To determine the number of scoops of corn needed to feed a certain number of deer, we can use the information given in the table. Let's analyze the information provided:
It will take ??? scoops of corn to feed 5 deer.It will take ??? scoops of corn to feed 10 deer.It will take ??? scoops of corn to feed 30 deer.Unfortunately, the table mentioned in the question is missing, so we can't use it to find the exact number of scoops needed. However, if we assume that the ratio of scoops to deer is consistent, we can use proportional reasoning to find the missing values. For example, if it takes 2 scoops to feed 5 deer, then 4 scoops will be needed to feed 10 deer.
-2(3x-5) How do you expand this expression.
Answer:
-6x+10
Step-by-step explanation:
-2(3x-5)=-6x+10
Answer: -6x+10
Step-by-step explanation:
-2 times 3x is -6x and -2 times -5 is positive 10
Laura made $324 for 18 hours of work at the same rate, how much would he make for 8 hours of work
Final answer:
Laura earns $18 per hour, and for 8 hours of work, she would make $144.
Explanation:
The question asks us to determine how much Laura would make for 8 hours of work, given that she made $324 for 18 hours of work. To find the hourly rate, we divide the total amount earned by the total hours worked. Then we multiply the hourly rate by the number of hours we want to find the earnings for.
To calculate Laura's hourly rate: $324 / 18 hours = $18 per hour.
Now, we can find out Laura's earnings for 8 hours: $18 per hour * 8 hours = $144.
Therefore, Laura would make $144 for 8 hours of work at the same rate.
A dog store has 3 female Chihuahuas. 14 of the 25 dogs at the store are not Chihuahuas. What is the probability that a dog selected at random is female, given it is a Chihuahua?
Answer 3/11
Answer:
Answer C
Step-by-step explanation:
The probability that a randomly selected dog is female, given it is a Chihuahua, is 3/11. This is calculated by dividing the number of female Chihuahuas (3) by the total number of Chihuahuas (11) in the store.
Explanation:Probability of Selecting a Female Chihuahua
First, let's determine the total number of Chihuahuas in the store. Since the store has 25 dogs and 14 of them are not Chihuahuas, we subtract 14 from 25 to get the number of Chihuahuas:
25 - 14 = 11
There are 11 Chihuahuas in the store. We are given that there are 3 female Chihuahuas. Therefore, the probability that a randomly selected dog is a female Chihuahua is the number of female Chihuahuas divided by the total number of Chihuahuas:
Probability = Number of Female Chihuahuas / Total Number of Chihuahuas = 3 / 11
This calculation gives us the probability of 3/11 that a dog selected at random is female, given it is a Chihuahua.
what does -6.5-2 equal
please show the work ITS DUE TOMMOROW!!!
Answer:
-6.5-2=-8.5
Step-by-step explanation:
no working out needed that is as simple as it gets mate
What are the steps to solve 4.321×7.89
Answer:
34.09269
Step-by-step explanation:
Step 1: write the numbers from the questions and put them as if they are whole numbers in order of decimal places, fro example 4321 *789Step 2: multiply the number 4321 by each of the numbers in 789Step 3: the answer you get from the calculation write it were it's decimal places is equal to the decimals we had in the question.....For example: we have the numbers 4.321 multiplying 7.89, so their total of decimal places is five, so the answer will get will have five decimal places Step 4: the calculated answer is 3409269, so the correct answer will we written to five decimal places which is 34.09269What is the solution to 2x^2 + X - 1 = 2
Answer: x = square root of -x + 3 / 2
Step-by-step explanation:
2x^2 + x - 1 = 2
add 1 to both sides
2x^2 + x = 3
subtract x from both sides
2x^2 = -x + 3
square root both sides
2x = square root of -x + 3
divide by 2
x = square root of -x + 3 / 2
Answer:
Step-by-step explanation:
hello :
2x² + X - 1 = 2
2x² + X - 1 -2 = 2-2
2x² + X - 3 =0
(x-1)(2x+3) =0
x-1=0 or 2x+3 = 0
x =1 or x= -3/2
A dvd collection had 6 comedies, 10 westerns, 14 romance, 3 horror, and 7 mysteries. what percent of the collection was comedies?
15% of the collection was comedies.
Step-by-step explanation:
Given,
Number of comedies = 6
Number of westerns = 10
Number of romance = 14
Number of horror = 3
Number of mysteries = 7
Total = 6+10+14+3+7= 40
Percent of comedies = [tex]\frac{Number\ of\ comedies}{Total\ number}*100[/tex]
Percent of comedies = [tex]\frac{6}{40}*100=\frac{600}{40}[/tex]
Percent of comedies = 15%
15% of the collection was comedies.
Keywords: percentage, addition
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brownies sell for $7.50 and cookies sell for $ .40
Answer:
$7.50 and cookies sell for $ .40
Step-by-step explanation:
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If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
Answer: 13.8 cm
Step-by-step explanation:
Assuming the cube is the cube shown in the attached image, its diagonal is [tex]x[/tex].
Now, for a cube which each side is [tex]a[/tex], its diagonal is given by the pithagorean theorem:
[tex]x=\sqrt{a^{2}+d^{2}}[/tex] (1)
Where [tex]d[/tex] is the hypothenuse of the right triangle formed in one of the cube's faces:
[tex]d=\sqrt{3}a[/tex] (2)
Then the formula for the diagonal is:
[tex]x=\sqrt{a^{2}+(\sqrt{3}a)^{2}}[/tex] (3)
[tex]x=\sqrt{3}a[/tex] (4)
If [tex]a=8 cm[/tex]:
[tex]x=\sqrt{3}8 cm[/tex] (5)
Finally:
x=13.8 cm
A sweatshirt is on sale for Black Friday and is 60% off of its it's original price of 60$. How much is the sweatshirt?
Answer:
$36
Step-by-step explanation:
Plz give me brainliest as i just need 3 more plz plz plz
To calculate the sale price of the sweatshirt, multiply the original price by the discount rate to get the discount amount and subtract from the original price. The sweatshirt is now priced at $24.
Explanation:We can find the amount discounted by multiplying the original price of the sweatshirt by the discount rate. So, we calculate 60% of $60. First distinguish that 60% is the same as 0.60 in decimal form. Therefore, we multiply $60 by 0.60 (60%) to get $36. This is the amount that is discounted from the original price. To find the new price after discount, subtract this amount from the original price. So, $60 - $36 equals $24. Therefore, the sweatshirt on sale is now priced at $24.
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chris sells cars and he get a salary of 6.00 per hour plus a 0.9% commission. one week he work 32 hours and sells 2 cars priced at 26,700 and 31,150.how much did he make that week
Answer:
Earnings of Chris that week = US$ 712.65
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Chris' salary = US$ 6 per hour + 0.9% commission (0.009)
A week Chris worked 32 hours and sold 2 cars priced $ 26,700 and $ 31,150
2. How much did he make that week?
Earnings of Chris that week = (32 * 6) + (26,700 * 0.009) + (31,150 * 0.0009)
Earnings of Chris that week = 192 + 240.30 + 280.35
Earnings of Chris that week = US$ 712.65