Answer:
The answer is 9/4
Step-by-step explanation:
HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8
Answer:
(B)[tex]\dfrac{1}{m^8}[/tex]
StartFraction 1 Over m Superscript 8 EndFraction
Step-by-step explanation:
We want to find the simplified form of: [tex]m^{-8}p^0[/tex]
[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]
The correct option is B.
Answer:
I am 80% sure its 1 if not then its 1/p
Step-by-step explanation:
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Hint
If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.
To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.
I hope this helps :)
The area of a swimming pool is 120 sq meters. The width of the pool is 8 meters. what is the length of the pool in centimeters ?
Use the Trapezoidal Rule with n = 4 to approximate
0.3523
0.7048
0.2456
0.4913
Answer:
0.7048
Step-by-step explanation:
∫₂⁴ 1 / (x − 1)² dx
n = 4, so we divide the interval into 4 regions. The width of the regions is:
(4 − 2) / 4 = 0.5
So the intervals are (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).
Evaluate f(x) at the ends of each interval.
f(2) = 1
f(2.5) = 4/9
f(3) = 1/4
f(3.5) = 4/25
f(4) = 1/9
Find the area of each trapezoid:
A₁ = ½ (2.5 − 2) (1 + 4/9) = 13/36
A₂ = ½ (3 − 2.5) (4/9 + 1/4) = 25/144
A₃ = ½ (3.5 − 3) (1/4 + 4/25) = 41/400
A₄ = ½ (4 − 3.5) (4/25 + 1/9) = 61/900
So the total approximate area is:
A = 0.705
Closest answer is 0.7048.
The value of expression is,
⇒ 0.7048
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ ∫₂⁴ 1 / (x − 1)² dx
Now, For n = 4, we divide the interval into 4 regions.
Hence, The width of the regions is:
= (4 − 2) / 4
= 0.5
Thus, the intervals are,
⇒ (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).
Thus, We can evaluate f(x) at the ends of each interval as,
f(2) = 1
f(2.5) = 4/9
f(3) = 1/4
f(3.5) = 4/25
f(4) = 1/9
Hence, the area of each trapezoid are,
A₁ = 1/2 (2.5 − 2) (1 + 4/9) = 13/36
A₂ = 1/2 (3 − 2.5) (4/9 + 1/4) = 25/144
A₃ = 1/2 (3.5 − 3) (1/4 + 4/25) = 41/400
A₄ = 1/2 (4 − 3.5) (4/25 + 1/9) = 61/900
Therefore, the total approximate area is:
A = A₁ + A₂ + A₃ + A₄
A = 0.7048
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.
A person invests 10000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the
person leave the
in the bank until it reaches 27400 dollars?
leave the money
r
A = P(1 + -)nt
n
Answer:
The answer is 18.4 months.
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?
Answer:
8
Step-by-step explanation:
y < mx+c
here y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent and m will be the gradient.
The temperature must always be less than 8 so c will be 8.
y < 8
8 should be the maximum value of the inequaltiy
Answer:
your anwser is 8
Step-by-step explanation:
36 + 1.80 + 2.16 I'm stuck
Answer:
39.96 should be the right answer
Answer: 39.96
Step-by-step explanation:
36+1.80=37.80
Then you add 2.16
37.80+2.16=39.96
Michael was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers.
Identity property of addition: 8 + 1 = 8
Identity property of multiplication: 8(0) = 0
What was Michael’s mistake?
He should have added 0 to 8 and multiplied 1 by 8.
He should have 8 + 1 = 9.
He should have 8(0) = 8.
He should have distributed the 8.
Answer:
He should have added 0 to 8 and multiplied 1 by 8
Step-by-step explanation:
Michael should have added 0 to 8 and multiplied 1 by 8.
What is multiplication?Multiplication is the process of adding a number up to a given number.
The identity property of addition is 0 and the identity property of multiplication is 1.
Therefore, Michael should have added 0 to 8 and multiplied 1 by 8.
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At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Step-by-step explanation:
For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:
[tex] y = mx +b[/tex]
We have the following info given:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Answer:
Step-by-step explanation:
Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 94 , 60 ) and ( x₂ , y₂) = ( 96,66) .
y₂ - y ₁ 66 - 60 6
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 96 - 94 2
Slope , m = 6/2 = 3 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 3 x + b .
To find value of b , we put ( 94 , 60 ) in place of x and y .
Put x = 94 and y = 60 , we get
60 = 3 * 94 + b
60 = 282 + b
60 - 282 = b
- 222 = b
Thus we get b = - 222 .
So the equation become
y = 3 x - 222 .
Equation in slope intercept form representing the situation isy = 3 x - 222Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?
Answer:
Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.
Step-by-step explanation:
Complete Question
Mr. Anderson has 4 recipes for granola. Recipe 1
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.
Recipe 2
A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.
Recipe 3
A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.
Recipe 4
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.
Which recipe has the greatest ratio of honey to oats?
Solution
Computing the ratio of honey to oats for each of recipes
Recipe 1
Honey | 5 | 10 | 15
Oats | 2 | 4 | 6
Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.
Recipe 2
Honey | 6 | 10 | 14
Oats | 3 | 5 | 7
Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.
Recipe 3
Honey | 3 | 6 | 9
Oats | 1 | 2 | 3
Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.
Recipe 4
Honey | 8 | 10 | 12
Oats | 4 | 5 | 6
Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.
Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.
Hope this Helps!!!
Answer: Recipe 3
Step-by-step explanation:
How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.
Answer:
Look below.
Step-by-step explanation:
I mean I can tell because set B is literally just +20 from Set A
Please can people help??!!
Photo below
i think this is the method for solving it
A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Answer:
Bronze
Step-by-step explanation:
To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:
Mass of necklace = 192g
Volume = 19.5cm^3
Density =...?
Density of a substance is simply defined as the mass of the substance per unit volume.
Density = Mass /volume
Density = 192g / 19.5cm^3
Density = 9.85g/cm^3
Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.
Therefore, the necklace is made of bronze.
You have 4 yards of ribbon. You need to wrap 6 equal sized boxes with the ribbon. How many feet of ribbon can you use on each box?
Answer:
24
Step-by-step explanation:
1 yard=36 inches
36x4=144
144/6=24
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3\sqrt{2}3
2
3, square root of, 2, end square root
(Choice B)
B
3\sqrt 33
3
3, square root of, 3, end square root
(Choice C)
C
666
(Choice D)
D
6\sqrt 26
2
6, square root of, 2, end square root
(Choice E)
E
999
Report a problem
Do 5 problems
Answer: A or 3 sqrt 2
Step-by-step explanation:
Answer:
3 sqrt 2
Step-by-step explanation:
Select The decimal that is equivalent to 7/8
Answer:
0.875
Step-by-step explanation:
look at the fraction as a division problem
8÷7
Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.
Answer:
It's A,C,F
Step-by-step explanation:
I answered it :) and got it right.
If (A:20:4:16) is a proportion the find out the value of A fastly
Answer: A = 5
Step-by-step explanation:
I'll rewrite this as fractions.
[tex]\frac{A}{20}=\frac{4}{16}[/tex]
Solve for A,
[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]
[tex]A=5[/tex]
Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50
Answer:
no it is not equal.
Step-by-step explanation:
when you calculate the percentages, you will find that the increase has 40% while the decrease has about 28.6%
Answer:
No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Step-by-step explanation:
SAMPLE RESOND
This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F
Answer:
D and F
A and C
B and E
Step-by-step explanation:
due to the fact that it is a rectangle prism, and the A is on the left and C is on the right, the other alphabet B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism
Answer:
a,b,e
Step-by-step explanation:
how to make a dot plot
Answer:
draw a a big L and put your numbers
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
it was found that out of 45 girls,10 joined singing but not dancing and 24 joined dancing . how many joined but not singing ? how many joined both
21 girls joined but not singing and 14 girls joined both singing and dancing.
What are Arithmetic operations?Arithmetic operations can also be specified by the, subtract, divide, and multiply built-in functions.
Total no. of girls = 45
No. of girls are dancing = 24
No. of girls are singing but not dancing = 10
No. of girl are both singing and dancing = 24-10 = 14
No. of girls are dancing but not singing = 45-24=21
Hence, 21 girls joined but not singing and 14 girls joined both singing and dancing.
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Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.
Answer:
!!4
Step-by-step explanation:
according to my calculation it is 114
5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.
Answer:
List the multiples
1/4,2/4,3/4,4/4
1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8
1/4=2/8
2/4=4/8
4/4=8/8
Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.
Step-by-step explanation:
3. A regular hexagon has six equilateral triangles with a common
endpoint. If the height of one of those triangles is 8 inches explain
why the perimeter of the hexagon is 55.43 inches.
Answer:
if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in
Step-by-step explanation:
As the hexagon is regular, each of those triangles will also be regular.
So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:
height = side * sqrt(3)/2
8 = side * 0.866
side = 8/0.866 = 9.2379
The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:
P = 6 * 9.2379 = 55.43 inches
Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 forms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1
Answer:
y/x = 1 got it right on edg
Step-by-step explanation:
Answer:
y/x = 1 on E2020
Step-by-step explanation:
Have a Great Day :)
Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.
a)What is the outlier in this set?
b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?
c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.
Answers:
A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.
B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.
C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.
pls help it will mean alot!!
due rn!!
Answer:
f(x) = 4^x
f(4) = 4^4 = 256
Hope this helps!
:)
the answer is 256 but i am not sure
hope this helps and be safe :)
Convert 4.5 x 10
to a normal number
Step-by-step explanation:
4.5 × 10
= 45
this is the answer
