The value of Exponents are:
1. √[tex]x^{36}y^{16[/tex]= x¹⁸y⁸
2. √[tex]x^{100}y^{16[/tex]= x⁵⁰y⁸
3. √300 y⁹ = 10y⁴√ 3y
1. √[tex]x^{36}y^{16[/tex]
Now, we can write [tex]x^{36[/tex] and [tex]y^{16[/tex] as
[tex]x^{36[/tex] = (x¹⁸)²
and, y¹⁶= (y⁸)²
So, √[tex]x^{36}y^{16[/tex]
= √(x¹⁸)²(y⁸)²
= x¹⁸y⁸
2. √[tex]x^{100}y^{16[/tex]
Now, we can write [tex]x^{100[/tex] and [tex]y^{16[/tex] as
[tex]x^{100[/tex] = (x⁵⁰)²
and, y¹⁶= (y⁸)²
So, √[tex]x^{36}y^{16[/tex]
= √(x⁵⁰)²(y⁸)²
= x⁵⁰y⁸
3. √300 y⁹
Now, we can write y⁹ as
y⁹ = y x (y⁴)²
and, 300 = 2 x 2 x 3 x 5 x 5
So, √300 y⁹
= √2 x 2 x 3 x 5 x 5 x y x (y⁴)²
= 10y⁴√ 3y
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2. A phone company charges a base fee of $12 per month plus an additional charge per minute. The
monthly phone cost C can be represented by this equation: C = 12 +a.m, where a is the additional
charge per minute, and m is the number of minutes used.
Which equation can be used to find the # of minutes a customer used if we know and a and C?
A. m = (C-12)
B. m = (C - 12)-a
C. m = C - 12a
(C-12)
D. m =
a
E. m = 8-12
Given:
The monthly phone cost C can be represented by this equation:
[tex]C=12+a\cdot m[/tex]
where, a is the additional charge per minute, and m is the number of minutes used.
To find:
The equation can be used to find the number of minutes a customer used if we know and a and C.
Solution:
We have,
[tex]C=12+a\cdot m[/tex]
We need to isolate m on one side.
Subtract 12 from both sides.
[tex]C-12=a\cdot m[/tex]
Divide both sides by a.
[tex]\dfrac{C-12}{a}=\dfrac{a\cdot m}{a}[/tex]
[tex]\dfrac{C-12}{a}=m[/tex]
[tex]m=\dfrac{C-12}{a}[/tex]
The options are not in proper format.
Therefore, the required equation is [tex]m=\dfrac{C-12}{a}[/tex].
The cost of a ticket t will be no more than $26.?
Answer:
t≤26
Step-by-step explanation:
A.2
B.-1/2
C.-2
D.1/2
Plz help?
Apple juice is sold in 4 different sizes for 4 different prices. Which is the
LOWEST price per ounce? *
8 points
a. 10 2.-ounce bottle for $2.49
b. 16 2 -ourse bottle for $2.99
C. 24 2 -ounce bottle for $3.99
d. 36 ]-ounce bottle for $6.29
HELPPPP I NEED THIS TODAYYYY
Answer:
375 Ice cream cones
1.50x
Step-by-step explanation:
The University of Texas at Austin has three times as many students enrolled as the University of Miami. The University of California, Berkley has 3,000 more than twice the number of students as the University of Miami. If the three schools have a total enrollment of 96,000 students, what is the enrollment at each school?
Step-by-step explanation:
let the University of Miami enrolment be x
so the University of Texas at Austin has three times = 3x
The University of California, Berkley has 3,000 more than twice the number of students at the University of Miami.
this can be translated as = 3000+2x
in total, the enrolment is 96,000
therefore
x+3x+3000+2x=96000
we can now solve for x
6x=96000-3000
6x=93000
divide both sides by 6 we have
x=15500
1. The University of Miami enrolment is 15500 students
2. The University of Texas at Austin has three times = 3x
=3*15500
= 46500 students
3. The University of California, Berkley has
= 3000+2x
= 3000+2(15500)
=3000+46500
=49500 students
The stock of Company A lost $0.68 throughout the day and ended at a value of $67.32. By what percentage did the stock decline?
Given parameters:
Amount lost on stock = $0.68
Closing value = $67.32
Unknown:
Percentage of stock decline = ?
To solve this problem, simply express the amount of decline over the closing value and multiply by 100;
Percentage of stock decline = [tex]\frac{amount of stock lost}{closing value}[/tex] x 100
Simply input the parameters and solve;
Percentage of stock decline = [tex]\frac{0.68}{67.32} x 100[/tex] = 1%
The stock declined by a percentage of 1%
f(x) = 3x^2 + 4x - 6
g(x) = 6x^3 – 5x^2 - 2
Find (f - g)(x).
Answer:
(f-g)(x) = -6x^3 + 8x^2 + 4x - 4
Step-by-step explanation:
subtract g(x) from f(x)
(f-g)(x) = (3x^2 + 4x - 6) - (6x^3 - 5x^2 -2)
distribute the negative
(f-g)(x) = 3x^2 + 4x - 6 - 6x^3 + 5x^2 +2
like terms and in order of exponent
(f-g)(x) = -6x^3 + 8x^2 + 4x - 4
For every 10 middle school students in the us, 6 play sports. If there are 956 students how many play?
Answer:
About 573.6 or 574 would be the answer if you wanted it rounded.
Step-by-step explanation:
I found this by dividing 6 by 10 since for every ten student 6 play sports.
So I divide 6 by 10 and then I multiplied the result by 956 and found the answer to the equation.
So if there was 956 students then about 574 students would play sports.
Hope this helped:)
unit digit of the square of 1368 maths
Answer:
The unit digit of a square is 1.
Denise is building a fence around her 18ft by 34 foot rectangular garden. She put a post at each corner, put some posts along the sides, and space the posts equally around the garden. What is the greatest possible distance between each post and the next post
Answer:
The greatest possible distance between each post and the next post is 17 ft
Step-by-step explanation:
Please find the attached document
Square one factor from column A and add it to one factor from column B to develop your own polynomial identity.
Column A Column B
(x + y) (x2 + 2xy + y2)
(x − y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
Answer:
04.08 Polynomial Identities and Proofs
The Demonstration
Step-by-step explanation:
Need urgent help will mark Brainliest
Answer:
it is 3,3 or X<3 you can use either one
D is the answer
Step-by-step explanation:
The slope of the line (-4,3) (4,5)
Answer:
Use the slope formula to find the slope
m=1/4
Step-by-step explanation:
Use the slope formula y2-y1 over x2-x1 to find the slope m.
josh´s father is paying for a $20 meal. A 7% sales tax is applied. How much did josh´s father pay for the meal? i need this fast pls
choices:
1.$21.07
2.$21.40
3.$22.00
4.1.07
Answer:
2. 21.40
Step-by-step explanation:
20 * 1.07= 21.40
There are 26072 people at a baseball game . The ratio of men to women is 7 : 1. How many of each were at the game?
Answer:
There was 22,813 men and 3,259 women
Step-by-step explanation:
26,072 ÷ 8 ( 7 + 1 ) = 3,259
3,259 x 7 = 22,813 (men)
26,072 - 22,813 (men) = 3,259 (women)
Men: 7/8 = 22,813 men in total
Women: 1/8 = 3,259 women in total
PLZ ANSWER WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! World renowned ice cream entrepreneurs Sydney and Eden produce two types of premium dairy ice cream products: Syd n’ Edy’s Chocolate Concussion and Vanilla Brain Freeze. Their chocolate ice cream requires 6 oz milk and 8 oz of peanuts per pint size container while the vanilla option requires 9 oz milk and 5 oz peanuts. Sydney and Eden currently enjoy a surplus of all other ingredients required for their ice cream but only have 360 oz of milk and 400 oz of peanuts for this limited production run. Given that the entrepreneurs charge $5 for each container of Chocolate Concussion and $7 for each Vanilla Brain Freeze, how many of each type should Sydney and Eden produce in order to maximize their profit and what is the maximum? Feel free to approximate to the nearest tenth of a pint as necessary.
A. 40 pints of vanilla brain freeze
B.42.9 pints of chocolate concussion and 11.4 pints of vanilla brain freeze
C.50 pints of chocolate concussion
D.They should not make any ice cream
In order to maximize the profit [tex]50[/tex] pints of chocolate concussion should produce.
What is linear programming?" Linear programming is defined as it represents the extreme value of the given linear function with given subject to constraints."
According to the question,
[tex]'x'[/tex] represents the number of chocolate concussion
[tex]'y'[/tex] represents the number of Vanilla Brain Freeze
[tex]'z'[/tex] represents the maximize cost
As per the given condition of linear programming,
Maximize Cost [tex]z =5x + 7y[/tex]
Subject to constraint
[tex]6x + 9y \leq 360\\\\8x + 5y \leq 400\\\\x\geq 0, y\geq 0[/tex]
For
[tex]6x + 9y \leq 360[/tex]
[tex]x= 0 \implies y=40\\\\y=0 \implies x=60[/tex]
And
For
[tex]8x + 5y \leq 400\\\\x=0 \implies y=80\\\\y=0 \implies x= 50[/tex]
Cost for each value of given linear programming we have,
[tex](x, y) = (0,40) \\\\\implies z = 5(0) + 7(40)\\\\ \implies z = $280[/tex]
[tex](x, y) = (60,0) \\\\\implies z = 5(60) + 7(0)\\\\ \implies z = $300[/tex]
[tex](x, y) = (0,80) \\\\\implies z = 5(0) + 7(80)\\\\ \implies z = $560[/tex]
[tex](x, y) = (50,0) \\\\\implies z = 5(50) + 7(0)\\\\ \implies z = $250[/tex]
To maximize the profit [tex]50[/tex] pints of chocolate concussion.
Hence, Option (C) is the correct answer.
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are 7xy and 2yx like terms
Answer: no they are not can you add me branliest plz
Step-by-step explanation: are The terms which have the same literal coefficients raised to the same powers but may only differ in numerical coefficient are called similar or like terms. The terms which do not have the same literal coefficients raised to the same powers are called dissimilar or unlike terms.
The term 7xy and term 2yx are the like terms because we can write 2yx as 2xy.
What are like terms?It is defined as the terms which are similar, and we can perform arithmetic operations on it like addition subtraction.
We have two terms:
The first is:
= 7xy
and the second is:
= 2yx
We can write 2yx as 2xy because the variables x and y are in the multiplication and order changing does not affect the value.
For an example: 2×3 = 3×2 = 6
Thus, the term 7xy and term 2yx are the like terms because we can write 2yx as 2xy.
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Rewrite 6 + ✓-16 in the form a +bi.
Which of the following is a solution of (2x - 1)(+ 3) = 6% +63? (1 point)
.:=
z = 99
Ox=-*
OI=6
Manatees eat 112 pounds of food each day. How many pounds of food would the animal consume in August and September?
Answer:
6,832 pounds of food
Step-by-step explanation:
4 + 6x = -3 +7x please answer
Answer:
I got x=7
Step-by-step explanation:
Can somebody help, please? If you get it correct I will give you a 5-star review. Thank you so much
Answer: 1 to 5
Step-by-step explanation:
If x=3+√8,thenfind the value of x3+1/2 x3.
Answer:
[tex]\frac{27}{2} +9\sqrt{2}[/tex]; 26.22792
Step-by-step explanation:
Assuming you mean find the value of [tex]3x+\frac{1}{2}(3x)[/tex] (please format your question correctly)...
The question has told you the x value or rather some numerical values. Just like for every other equation, replace x with its numerical value.
[tex]3(3+\sqrt{8})+\frac{1}{2}(3(3+\sqrt{8} ))[/tex]
This question is best suited to use a calculator as doing this on paper is absolutely necessary.
Putting this in the calculator you should get: [tex]\frac{27}{2} +9\sqrt{2}[/tex] or 26.22792
CAN SOMEONE PLEASE HELP ME JIMIN WILL BLESS YOU IF YOU DO
Answer:
see explanation
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY = ∠ YXZ , thus
7x - 7 = 5x + 3 ( subtract 5x from both sides )
2x - 7 = 3 ( add 7 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
(b)
∠ WXY = 7x - 7 = 7(5) - 7 = 35 - 7 = 28°
(c)
∠ YXZ = 5x + 3 = 5(5) + 3 = 25 + 3 = 28°
(d)
∠ WXZ = ∠ WXY + ∠ YXZ = 28° + 28° = 56°
Answer:
hello fellow army
Step-by-step explanation:
please help:((
Matching Forms of Rational Numbers
Fractions, decimals, and percentages are all forms of rational numbers, Match the rational numbers that have the
same value.
Answer:
1/8 = 0.125
3/5= 0.60
30%=0.3
0.45=9/20
1.5=150%
Hey try to do these question by your self next time OwO
Answer:
Step-by-step explanation:
A pump empties the pool at the rate
of 1,000 gal every 4 hours. How long
does it take to pump out 20,000
gallons?
Answer:
80 hours.
Step-by-step explanation:
20,000 / 1,000 = 20
4 x 20 = 80
Hope this helps.
what is the mean of 70 68 73 75 66 68
Answer:
70
Step-by-step explanation:
70+68+73+75+66+68 = 420
420/6 = 70
Answer:
70
The average number of a data set is the median.
How to solve:
Add all numbers together.
Divide by the number of numbers in the set.
In this set, we see the average number is 70.
The answer is 70.
Hope it helps!
Kristoff worked 5 hours and earned $36.25. if his last paycheck was $797.50, how many hours did he work?
A. 16.5 hours
B. 18 hours
C. 22 hours
D. 110 hours
Answer:
110 hours
Step-by-step explanation:
36.25 divided by 5 = 7.25
7.25 x 110 = 797.50
3x-7+10 where x=9 ???