it is the last one
Step-by-step explanation:
by simplifying powers it becomes
8g^8/64h ^5
simplifying it further gives
g^8/ 8h^5
37.4
Solve for x and y.
A. x = 26.4 y = 20.4
B. x = 26.4, y = 17
C. x = 18.3. y = 20.4
D.
x = 18.3. y= 17
How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? ____ gal
Answer:
Step-by-step explanation:
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please help me. Need answer asap.
Answer:
x=11.2
Step-by-step explanation:
Add the equations.
-10y=40
y=-4
input y
5x-8=48
5x=56
x=56/5
x=11.2
Answer:
x = 11.2 and y = -4
Step-by-step explanation:
Add the two equations
-5x -12y = -8
5x+2y = 48
-------------------
-10y = 40
Divide by -10
-10y/10 = 40/-10
y = -4
5x+2y = 48
5x +2(-4) = 48
5x -8 = 48
Add 8 to each side
5x = 56
Divide by 5
5x/5 = 56/5
x = 56/5
x =11.2
what is the smallest number by which 2408 should be multiplied to get a perfect cube
Answer:
90601
Step-by-step explanation:
we have to find smallest number by which 2408 should be multiplied to get a perfect cube.
First lets find prime factor of 2408 and power these prime factors have
2408 = 2*1204 = 2*2*602 = 2*2*2*301= 2*2*2*7*43
thus,
2408 = 2^3*7*31
we know that a cube is a number raised to the power three
in 2408
2 has a power of three
but 7 and 31 and there is power of one,
thus we need to make
power of 7 and 31 three by multiplying
7 with 7*7
and 31 with 31*31
thus,
2^3*7*31*7*7*31*31 is the minimum cube value for this number
2^3*7*31*7*7*31*31 = 2^3*7^3*31^3 = 2408 * 7^2*31^2 = 2408*90601
Thus, smallest number which should be multiplied with 2408 to make it a perfect cube is 90601
Primo car rental agency charges $24 per day plus $0.40 per mile. Ultimo car rental agency charges $38 per day plus $0.90 per mile. Find the daily mileage for which the Ultimo charge is twice the Primo charge. The mileage is _____. .
Answer:
when the distance driven per day is 100 miles
Step-by-step explanation:
Start by writing an equation for the daily charge of each company
Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;
p(x) = 24 + 0.4 x
u(x) = 38 + 0.9 x
when would u(x) be twice the p(x) charge?
u(x) = 2 p(x)
38 + 0.9 x = 48 + 0.8 x
0.9 x - 0.8 x = 48 - 38
0.1 x = 10
x = 100
so, such happens when the distance driven per day is 100 miles
The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands: If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model? −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82 −3.09 ≤ x ≤ 32.82 5.6 ≤ x ≤ 24.13
Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
What are functions?Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:
P(x) = −0.74x² + 22x + 75
−0.74x² + 22x + 75 ≥ 175
−0.74x² + 22x − 100 ≥ 0
0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)
Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:
0.74x² − 22x + 100 = 0
Solving this equation, we get x = 5.6 and x = 24.13.
So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.
Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
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can someone help with number 1? i’ll give brainliest ;)
Answer:
Hey there!
She wants an 93, so we write the equation: [tex]\frac{87+96+98+90+92+x}{6}=93[/tex]
Multiply both sides by 6 to get: [tex]87+96+98+90+92+x=558\\[/tex]
Simplify: 463+x=558
Subtract 463 to get that x=95.
Thus, she must score a 95 to get a A as a final grade.
Hope this helps :)
Answer:
Sally must get 95% in her sixth test!
Step-by-step explanation:
To get an average of 93 over 6 tests, the total must be
6*93 = 558
Therefore the sixth test she must get
S = 6*93 - 87 -96 -98 -90 -92 = 95
PLEASE HELP THE QUESTION IS BELOW!!
Answer:
[tex]\boxed{35\°}[/tex]
Step-by-step explanation:
Angle 1 is 55 degrees.
The whole angle of the upward left corner is 90 degrees.
[tex]90-55=35[/tex]
Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.
Angle 2 is 35 degrees.
10 points will give brainliest, In the picture
Answer: the correct answer is W or the first one
Step-by-step explanation:
All you do is transform the graph :)
I hope I helped, if i did please mark brainliest!! Thank you!!
Jordan weighs twice as much as
Sam. Togcther, they weigh 180
pounds. How much do each of
them weigh?
Answer:
Jordan weighs 120 pounds, Sam weighs 60 pounds
Step-by-step explanation:
We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.
Answer: Jordan=120. Sam=60
Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation
2x+x=180
3x=180
x=60
Then we can substitute x in Jordan and sams values to get our final answe;
Jordan=120. Sam=60
A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?
==========================================
Explanation:
We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).
Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.
---------
You can use the combination formula with n = 12 and r = 3. Doing so will give the following:
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]
As you can see, we get the same result and note how 1320/6 is also present as well.
The greatest number of different 3-person teams that can be chosen is 220.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
The Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Consider the set {A,B,C}.
3*2*1 = 6 ways to arrange this set of letters.
When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.
We can use the combination formula with n = 12 and r = 3.
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]
1320/6 = 220
Thus, the greatest number of different 3-person teams that can be chosen is 220.
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A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?
Answer:
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Step-by-step explanation:
A prism has a volume of 238 cubic millimeters.
A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.
Which is the correct substitution for finding the length of the prism?
A. V = l w h. 238 = l + 8 and one-half + 3 and one-half
B. V = l w h. V = 238 times 8 and one-half times 3 and one-half
C. V = l w h. l times 8 and one-half times 3 and one-half
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
From the question
V=lwh
Volume of a prism=length)(width)(height)
Volume=238
l= l mm
w= 8 1/2
h= 3 1/2
Substituting all the values
V=lwh
238= l * 8 1/2 * 3 1/2
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Answer:
D
Step-by-step explanation:
got it right on edge 2020
Can someone help with this to! Thanks
Answer:
x=7
Step-by-step explanation:
15+14+14+11=54
75-54=21
21/3=7
Answer:
x = 7ft
Step-by-step explanation:
Turn it into an equation:
x + 15 + 14 + 14 + 2x + 11 = 75
3x + 54 = 75
3x = 21
x = 7ft
What is the value of the expression
Answer:
6
Step-by-step explanation:
2(7)-(-4)/3
(14+4)/3
18/3
=6
If it's right can i get brainliest.
Answer:
D) 6
Step-by-step explanation:
Plug in the values of a & b
[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]
One number is 5 more than 4 times another their sum is 20
Answer:
3, 17
Step-by-step explanation:
1st number = x
2nd number = 4x+5
x+4x+5=20
5x=15
x=3
1st number = 3
2nd number = 4(3)+5=12+5=17
your asked to add 15mEq of pittassium choride to 1,000mL of NaCI. potassium chloride is avalable as 20mEq/10 mL. whats the coreect dosage?
Answer:
7.5ml
Step-by-step explanation:
20/10=15/x
20x=10(15)
20x=150
x=150/20
x=7.5
So you’d add 7.5ml of NaCl to the 1,000ml IV.
i need help i need help
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
When we roll a die we get 1,2,3,4,5,6
When get flip a coin get get H or T for heads or tails
The top right lists the possible outcomes, one for the heads or tails and one of the die outcomes
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
If cos x=−6/7, and 90°
Answer: 0.4693877
Step-by-step explanation:
Given that:
cos x=−6/7,
From trigonometry :
Cosx + sinx = 1
Cos2x = cos(x + x)
Recall the double angle identity:
Cos2x = 2cos^2x - 1
Sin2x = 1 - 2sin^2x
Since cosx = - 6/7
Then
Cos2x = 2cos^2x - 1
Cos2x = 2cosx^2 - 1
Cos2x = 2(-6/7)^2 - 1
Cos2x = 2(36/49) - 1
Cos2x = 2 * (72/98) - 1
Cos2x = (2 * 0.7346938) - 1
Cos 2x = ( 1.4693877 - 1)
Cos2x = 0.4693877
Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). 0.9, 0.5, 0.3, 1.1. Find the mean absolute deviation (MAD) of the data set.
Answer:
Step-by-step explanation:
MAD is simply the average distance that all of the numbers in your data set are from the mean. Your first step is to put your data in order, then determine the mean. Let’s look at this data set:0.3, 0.5, 0.9, 1.1
The mean of this data set is 0.7Starting with the lower extreme, and checking every number in your data set, determine how far each number is from the mean. First, put the numbers in numerical order, from least to greatest. Determine the distance each number is from 0.7. 0.3=0.40.5=0.20.9=0.21.1=0.4Add up all of the distances. Total distance from the mean (12) ÷ 4 numbers in our data set = a mean absolute deviation of 3.I added a PowerPoint that I made so that if you didn't understand it you could read off of it.
Answer:
[tex]0.3[/tex] - written in [tex]2/14/2021[/tex]
Step-by-step explanation:
The answer is [tex]0.3[/tex] because, [tex]\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7[/tex], so [tex]0.7[/tex] is the mean. After having found the mean, we have to subtract [tex]0.7[/tex] from the numbers, or the numbers from [tex]0.7[/tex]:
Data Point | Distance from the mean
[tex]0.9[/tex] | [tex]0.9-0.7=0.2[/tex]
[tex]0.5[/tex] | [tex]0.7-0.5=0.2[/tex]
[tex]0.3[/tex] | [tex]0.7-0.3=0.4[/tex]
[tex]1.1[/tex] | [tex]1.1-0.7=0.4[/tex]
After finding out the Distance from the mean we'll use their sums and add them all up: [tex]0.2+0.2+0.4+0.4[/tex], then divide them by [tex]4[/tex] because there are [tex]4[/tex] numbers combined together: [tex]\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3[/tex].
So that's why the answer is [tex]0.3[/tex] (Happy Valentines Day!)
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD? Conversion Chart USD CAD 5 4.95 7 6.93 8 7.92 11 10.89 ANSWERS: A) 18.00 CAD B) 21.66 CAD C) 24.75 CAD D) 34.65 CAD
Answer:
C
Step-by-step explanation:
24.75
PLEASE HELP THE QUESTION IS BELOW!!
Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Answer:
146°Step-by-step explanation:
Given,
< B = 3x - 2
<C = 12x + 2
Let's find the value of X
<B + < C = 180° ( sum of angle in straight line)
plug the values
[tex]3x - 2 + 12x + 2 = 180[/tex]
Collect like terms
[tex]15x - 2 + 2= 180[/tex]
Since, two opposites add up to zero, remove them from the equation
[tex]15x = 80[/tex]
Divide both sides of the equation by 15
[tex] \frac{15x}{15} = \frac{80}{15} [/tex]
Calculate
[tex]x = 12[/tex]
Replacing value,
<C = 12x + 2
plug the value of X
[tex] = 12 \times 12 - 2[/tex]
Multiply the numbers
[tex] = 144 + 2[/tex]
Calculate the difference
[tex] = 146[/tex]
The measure of <C is 146°
Here,
<A = < C ( being vertically opposite angles)
Vertically opposite angles are always equal.
<A = 146
Hence, Option D is the correct answer.
Hope this helps...
Best regards!!
Please help!! Let f(x) = 9x3 + 21x2 − 14 and g(x) = 3x + 1. Find f of x over g of x. 3x^2 + 6x - 2 - (12/3x + 1) 3x^2 + 6x - 2 + (12/3x + 1) 3x^2 + 6x + 2 - (12/3x + 1) 3x^2 + 6x + 2 + (12/3x + 1)
Answer:
There is a typo! Please fix this so I can answer
Step-by-step explanation:
∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°
Complementary angles add together to equal 90 degrees.
R = 90 - 33.8
R = 56.2 degrees.
What value, written as a decimal, should Lena use as the common ratio?
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
x2 =16x−64 what’s there answer?
Answer:
x=8
Step-by-step explanation:
x2=x*x
Plug in 8
8*8=64
64=16(8)-64
64=128-64
64=64
solve for linear equations y=--2x+18 4y-x+9=0
Answer:
I hope it will help uh......
Jill has two dimes she is going to use to perform a probability experiment. What will the sample space look like if she flips the two dimes simultaneously
Answer: Experimental probability
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously as shown below. The sample space will have 4 outcomes.
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Can someone help me ?
Answer:
>
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<
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>
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<
Step-by-step explanation:
If a function f has an inverse and f(1) = -3, then f-1(-3) = 1.
A) True
B) False
Answer:
A) True
Step-by-step explanation:
The ordered pair for the first expression is ...
y = f(x)
-3 = f(1)
(x, y) = (1, -3)
The ordered pair for the second expression is ...
y = f^-1(x)
1 = f^-1(-3)
(x, y) = (-3, 1)
The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.
Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?
Answer:
2/52 or 1/26 or 0.0385 or 3.85%
Step-by-step explanation:
There are 2 black 10's in a standard 52 card deck.
2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)