The required simplified value of the given expression is 16x¹². Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
=(2x³)⁴
As we know that,
[xᵃ]ᵇ = xᵃˣᵇ
So,
(2x³)⁴ = 2⁴x³ˣ⁴
= 16x¹²
Thus, the required simplified value of the given expression is 16x¹².
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Evaluate 2(x-4) + 3x - x2 for x = 3.
Answer:
-2
Step-by-step explanation:
Simply plug 3 into the equation and follow the order of operations.
2(3 - 4) + (3(3)) - (3^2)
2(-1) + (9) - (9)
= -2
Candice recorded outdoor temperatures as -5°C, 2°C and 1°C. Which of the following correctly compares the three temperatures?
Answer:
2°C
Step-by-step explanation:
outdoor temperature
-15 + 8x = x + 3
STEP BY STEP
[tex] - 15 + 8x = x + 3 \\ 8x - x = 3 + 15 \\ 7x = 18 \\ \\ x = \frac{18}{7} \\ \\ x = 2.571[/tex]
We put the unknown on one side, and the other end is empty of the unknown , When it turns to the other side, its sign changes.
As for the number with the unknown, it becomes the denominator with the number without the unknown.
I hope I helped you^_^
Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.
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Answer:
ΔABC -- 60 inchesΔDEF -- 100 inchesStep-by-step explanation:
If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...
P -3/5P = 40 in
2/5P = 40 in
P = (5/2)(40 in) = 100 in
3/5P = 3/5(100 in) = 60 in
The smaller triangle perimeter is 60 in; the larger is 100 in.
F(x) = (x-2)(x + 1)
X+1
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
As x,
y1.
As x,y".
As x,y -—-.
As x,y 1.
As x,y.
As x + y -0.
Answer:
the second and the last one
Step-by-step explanation:
answer was revealed on edg after i took quiz
The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function shown in the picture.
f(x) = (x - 2)(x + 2)/(x + 1)
The above function is a fractional function:
The denominator of the function cannot be zero:
x + 1 ≠ 0
x ≠ -1
From the graph of a function:
If x → ∞, y → ∞
If x → –∞, y → –∞
Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
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find the value of xand y : x=2y and x+y=9
{x = 2y
{x + y = 9
{x = 2y
{2y + y = 9
{x = 2y
{3y = 9 / : 3
{y = 3
{x = 2 · 3
x = 6 and y = 3
Hello! Can someone please answer the photo? I honestly forgot about Prime Factorization... No links please and thank you!
Answer:
D
Step-by-step explanation:
im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.
a isn't correct since 9 isn't is a prime number.
b isn't correct because you wouldn't use decimals typically.
c isn't correct because 1 is not a prime number.
d is the only correct solution since all the numbers listed are prime numbers.
Let x = 0.99999....Do you think that x < 1 or x = 1?
Answer:
x<1
Step-by-step explanation:
why? because is still 0....
MATH
NATION
An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(15,21);
B(8,21); C(8,10); D(13,8); E(19,14.5), shown in feet. The walls are 11 feet high.
The museum is going to paint four of the walls: AB, BC DE, and AE. Assume one gallon of paint is enough to cover 147
square feet
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
12
1
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Answer:
3 gallons
Step-by-step explanation:
When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...
distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)
length of walls to be painted: AB +BC +DE +EA = 34.5 ft
area of walls to be painted: (length)(11 ft) = 379.3 ft²
gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal
About 3 gallons of paint are needed to paint 4 walls of the room.
Greyson will get a discount on his health insurance if he participates in their weekly step-challenge program and logs 50,000 steps a week. If his monitor calculates each step to be 2 feet, how many miles is he supposed to walk each week?
Greyson will need to walk "18.94 miles" each week. A complete solution is provided below.
According to the question,
One step's length,
= 2 feet
Total number of steps,
= 50,000
then,
→ The total distance travelled will be:
= [tex]50000\times 2[/tex]
= [tex]100000 \ feet[/tex]
We can say that the relation between feet and miles will be 5280 ft,
= 1 mile
hence,
→ [tex]100000 \ feet = \frac{100000}{5280}[/tex]
[tex]=18.94 \ miles[/tex]
Thus the above is the correct answer.
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What is the differentiation of 2cos2x
2cos2x=y
dy/dx(2cos2x)=-4sin2x
d/du cosu= u'×cos'u=-u'×sinu
d/du sinu= u'×sin'u= u'×cosu
d/du tanu = u'×(1+tan²u)
d/du cotu = u'×-(1+cot²u)
proof for cosu :
cos2x= 1-2sin²x
or 2cosx²-1
or cos²x-sin²x
we will one of this fro example let's take the first one
d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x
and we have 2 in the begining so its -4sin2x
John's bank account was overdrawn. The status of his account was -$112. He did not realize the problem and wrote another check for $22. The bank charged him a $21 fee for being overdrawn.
What was the new status of John's account at this point?
Answer:
-155
Step-by-step explanation:add them all up together
The new status of John's account at this point is -$155
Using this formula
New status=(-Account status-Cheque amount)-Bank charges
Let plug in the formula
New status= (-$112-$22)-$21-
New status=-$134-$21
New status=-$155
Inconclusion The new status of John's account at this point is -$155
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Subtract. Write your answer in simplest form.
5/- 10/5
Answer:
-1/10
Step-by-step explanation:
(5/(-10))/5 = -(5/10)/5 = 1/10
(Hopefully this helped you out!)
Helpp
Ok I don’t know how they got 3y-24
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!
translate the sentence into an equation five times the sum of a number and 7 is 8
Answer:
5(n+7)=8
Step-by-step explanation:
Find the area of the triangle.
A. 75 km²
B. 107.3 km²
C. 84.3 km²
D. 71.8 km²
Answer:
A. 75 km²
Step-by-step explanation:
The area of a triangle
A =1/2 ab sin C where a and b are the lengths of the sides and C is the included angle
A = 1/2 (14)(11) sin (77)
A = 75.0264949885
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?
Answer:
7/17
Step-by-step explanation:
Please help it’s due tomorrow!!
Answer:
-5/3
Step-by-step explanation:
Answer:
13 + 7/9-5-16
answer : -5/3
use BODMAS to solve this question
A recipe calls for 3 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
Answer:
4.8
Step-by-step explanation:
3:5
3/5 : 1
8(3/5):1(8)
4.8:8
(65x - 12) angle a
(43x+10) angle b
it’s a vertical angle I just don’t understand.
Answer:
x = 1
Step-by-step explanation:
Vertical angles are opposite angles formed by two lines.
Both the angles are equivalent
65x - 12 = 43x + 10
Subtract 43x from both sides
22x - 12 = 10
add 12 from both sides
22x = 22
Divide each side by 22
x = 22/22
x = 1
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what is 15 times 7/5 compared to 15 equal?
Answer:
I do not know
Step-by-step explanation:
Ella buys eggs and apples at the store.
She pays a total of $44.35.
• She pays a total of $2.95 for the eggs.
• She buys 6 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Equation:
Answer: X =
Submit Answer
The set of even natural numbers greater than or equal to 6
Answer:
{6, 8, 10, 12, 14, 16, 18, 20, ...}
Step-by-step explanation:
even natural numbers >/= 6.
Thus this has no upper limit and the set is thus infinite.
The set of even natural numbers greater than or equal to 6 is
What are the natural numbers?" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."
We know the natural numbers are:
{1, 2, 3, 4, 5, 6, 7,..........}
Now, the set of even natural numbers are:
{2, 4, 6, 8, 10...........}
Therefore, the set of even natural numbers greater than or equal to 6 is
{6, 8, 10, 12,..............}
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You have 10 pounds of egg whites. You need 6 Oz to make one serving of consommé. How many servings can you make?
Here, we want to solve for the number of servings 10 pounds of egg whites can make
Number of servings 10 pounds of egg whites can make is approximately 27 servings
1 pound = 16 ounce
10 pounds = 160 ounce
Quantity of egg whites available = 10 pounds
Quantity of egg whites per serving = 6 oz
Number of servings 10 pounds can make = Quantity of egg whites available / Quantity of egg whites per serving
Recall,
10 pounds = 160 oz
= 160 oz / 6 oz
= 26.67
Approximately,
27 servings
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If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap
Answer:
B
Step-by-step explanation:
f^(-1) (x) = (x-1)/3
f^(-1) (10) = (10-1)/3 = 3.
i’ll give brainliest pls
i need to finish this quickly, i need part a b and c
Amanda was given three numbers: 8,
5, and 1. She needs to use two of
these numbers to make a fraction.
Can she make a fraction that is
greater than four-fifths?
Answer:
Yeah, She can.
Step-by-step explanation:
Simply using 8/5
Help thank you ………….
Answer:
The answer is option 1
Step-by-step explanation:
For the linear inequality on the top line of the system, it's saying that the y-value must be greater than or equal to 1. This is verified by the graph because all y-values that fit the criteria of the linear inequality are shaded. The graph is also showing for the dotted line that the area is shading all points where, if you subtract an x-value from a y-value, the difference will always be greater than 0. Note that this does not apply for points ON the line, as it cannot be equal to 0. This matches with the linear inequality on the bottom line of option 1.
Jessica made 2 pounds of fudge. How many -pound servings are in the 2 pounds of fudge?
Answer:
2
Step-by-step explanation:
2 pounds of fudge ÷ 1 pounds servings = 2 servings
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Answer: 8
Step-by-step explanation:
In a football game, what is the probability that one team will tie and lose?
Answer:
1/3
Step-by-step explanation: