Answer:
[tex]\large\boxed{\mathtt{x^{4}}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to simplify the expression.}[/tex]
[tex]\large\underline{\textsf{According to PEMDAS;}}[/tex]
[tex]\textsf{We should first remove the exponent by multiplying the values in the parentheses}[/tex]
[tex]\textsf{by themselves 4 times.}[/tex]
[tex]\tt (x+1)^{4}=(x+1)\times(x+1)\times(x+1)\times(x+1)[/tex]
[tex]\textsf{Evaluate the product, then multiply that product by 16.}[/tex]
[tex]\large\underline{\textsf{Remember that PEMDAS is;}}[/tex]
[tex]\textsf{Parentheses first; (?)}[/tex]
[tex]\textsf{Exponents next;} \ \tt y^{2}[/tex]
[tex]\textsf{Multiplication or Division next;} \ \mathtt{ \times / \div}[/tex]
[tex]\textsf{Addition or Subtraction last;} \ \mathtt{ +/-}[/tex]
[tex]\textsf{PEMDAS is \underline{always} in this order.}[/tex]
[tex]\large\underline{\textsf{For our Expression;}}[/tex]
[tex]\tt 16(\frac{1}{2} x)^{4}[/tex]
[tex]\underline{\textsf{This expression is the same as;}}[/tex]
[tex]\tt 16 \times (\frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x)[/tex]
[tex]\textsf{According to PEMDAS, simplify what's in the parentheses first.}[/tex]
[tex]\underline{\textsf{We should have;}}[/tex]
[tex]\tt 16 \times (\frac{1}{16}x^{4})[/tex]
[tex]\textsf{16 and 1/16 are reciprocals, so they \underline{cancel} each other out.}[/tex]
[tex]\large\underline{\textsf{Hence, our final answer should be;}}[/tex]
[tex]\large\boxed{\mathtt{x^{4}}}[/tex]
what are common prime factor of 77 and 242?
Answer:
2 times 11 times 3511
Step-by-step explanation:
i kinda dont know what your asking but i tried
The common prime factor of the numbers 77 and 242? will be 11.
What is a prime factor?A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,
Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,
77 / 11 = 7
242 / 11 = 22
Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.
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PLEASE HELP!!!
The diagram shows two parallel lines inter-
sected by a transversal. Tell whether each sen-
tences is True or False.
Answer:
1) True
2) True
3) True
4) True
5) False
Step-by-step explanation:
Hope this helped!
Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
rationalized
y=
and z=
Answer:
7
Step-by-step explanation:
First you have to fined the unit rate
1,500/25= 60
Now your gonna do
300x60= 18,00
What is the equation of the line with slope -4 through the point (-2,5).
Answer:
y=−4x−3.
Step-by-step explanation:
Answer:
The slope of the line is m=−4.
The equation of the line in the slope-intercept form is y=−4x−3.
The equation of the line in the point-slope form is y−5=−4(x+2).
The general equation of the line is 4x+y+3=0.
hope that helps
The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot
Answer:
The length of HF is 73.9 feet.
Step-by-step explanation:
Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Where θ is the angle given in the triangle = [tex]80^{o}[/tex].
Then,
Sin 80 = [tex]\frac{x}{75}[/tex]
⇒ x = Sin 80 x 75
= 0.9848 x 75
= 73.86
x = 73.9
Thus, the length of HF is 73.9 feet.
What property of operations can be used to justify that the two expressions in this equation are equivalent? 6x^2 +4x=4x + 6x^2
Answer:
Commutative
Step-by-step explanation:
There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.
The expression given is : [tex]$6x^2 + 4x=4x+6x^2$[/tex]
So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.
Thus the sum of the above expression will be same in which ever order the numbers are added.
50 points WILL GIVE BRAINLIEST ASAP
Graph the function
f (x) = 3√x−2
Answer:Graph using the end point and a few selected points.
x y
0 − 2
1 -5
2 -6.24
Step-by-step explanation:
6 friends decided to put their money together to buy a pet for the class. The pet and it's accessories cost $225. How much will each student have to pay?
Answer:
b
Step-by-step explanation:
Jamie is not sure exactly what career to pursue but when she learned about the Human Services cluster, something spoke to her. Which types of career pathways are available to Jamie? Pick a career from each path and explain what it involves and where she might work if she had that job.
The careers in the human services cluster include:
Agriculture, and Natural Resources.Architecture and Construction. Communications.Business, Management, and Administration.Education and TrainingHow to illustrate the information?Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.
Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.
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Write an essay about your learning on how you solve problems involving integers. (5 points). Take a photo of your answer. (To the Online Teacher please provide a link for submission of output).
Answer:
to use integers for certain problems and equation on math, i can also use it for future use in life in case i need it, Its very helpful to learn since it isnt that complicated nor hard, its just a good skill to keep in mind as a student.
The radius of a circle measures 5 milometers . What is the circumference of the circle? Use 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
circumference = 31.4 milometers
Step-by-step explanation:
circumference = 5(2)(π)
circumference = 31.4 milometers
I need to know these as well- Ive been staring at my screen and I cant figure them out-
Solve the question.
Q – 26 = –53
Answer:
Q=-27
Step-by-step explanation:
Maria sells painting in a art gallery. She earns $375 each week plus a commission of 2.5% of her swelled. What is the minimum amount of sales she must have this week to earn at lease $500.
Answer:
5000.00
Step-by Step
500.00-375.00 = 125.00
5000 x 2.5% = 125.00
375.00 + 125.00 = 500.00
The volume of clay sculpture is 540 cubic inches.What is the volume of similar sculpture that is smaller by a scale factor of 1/2.
Answer:
67.5 in³
Step-by-step explanation:
Given that :
Volume 1 = 540 in³
Volume 2 of similar shape = x ; if the scale factor = 1/2
Volume of a shape = length * width * height)
The scale factor = 1/2
Volumetric factor = 1/2 * 1/2 * 1/2 = 1/8
Hence, the volume of similar sculpture will be :
540 in³ * 1/8 = 67.5 in³
Identifying and Solving Proportions
PLS ANY HELP!! thank you to whoever helps with question 6 <3
Answer:
Inez ran the mile in 5 minutes and 20 seconds
Great had the fastest time.
Her mile was faster by 20 seconds.
Step-by-step explanation:
Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?
Answer:
Step-by-step explanation:
15(24/2)=$180
How would you do this maths question?
Answer:
Step-by-step explanation:
First you take the 142+B=180
because those 2 are supplementary
B=38
and you see the 2 lines on the 2 sides that means those two sides are equal to each other and the angles corresponding with them are also equal to each other.
and a triangle= 180 degrees
A and E are the same so A=E
180-B(38)= 142
and because A=E you do 142/2= 71
and now that you have A and E you don't need A or B for the last part so
E+(x)=180 because those two angles are supplementary.
and E is 71 so...
71+(x)=180 ---------180-71=x
X=109
HELP DUE IN 5 MINS!
x=??
y=??
Answer:
x = 55
y = 45
Step-by-step explanation:
In similar triangles, the ratio between similar sides are the same. So,
AB/ED = BC/EF = AC/DF
Substitute values that they give
6/15 = 18/y = 22/x
Solve 6/15 = 18/y by cross-multiplying
6y = 15*18 = 324
Divide both sides by 6
y= 45
Solve 6/15 = 22/x by cross-multiplying.
6x = 22*15 = 330
Divide both sides by 6.
x = 55
Because there is some dispute between the answers, let's check the ratios.
6/15 = 18/45 = 22/55
0.4 = 0.4 = 0.4
True, x = 55 and y=45
since triangle abc~ def
their sides will be proportional
AB/de=ac/df
6/15=22/x
doing crisscrossed multiplication
6x=22×15
x=22×15/6=55
again
AB/de=BC/EF
6/15=18/y
doing crisscrossed multiplication
6y=15×18
y=15×18/6=15×3=45
I need help and show work
I need to know the answer to this plz!!
Answer:
I think the answer is C=100
Step-by-step explanation:
Hope this right.But if it's not,im so sorry
Step-by-step explanation:
it's 100 bro definitely 100 being honest
write an equation of the line that passes through the given points (-6,3) (0,4)
Answer:
y=1/6x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(0-(-6))
m=1/(0+6)
m=1/6
y-y1=m(x-x1)
y-3=1/6(x-(-6)(
y-3=1/6(x+6)
y=1/6x+6/6+3
y=1/6x+1+3
y=1/6x+4
Kennedy is building a new L-shaped desk for her room. She wants to make
sure it is large enough to hold all her supplies. The dimensions of the desk, in
feet, are shown in the diagram. What is the area of the desk?
5 ft
4 ft
8 ft
3 ft
4 ft
2 ft
A. 40 square feet
B. 36 square feet
C. 28 square feet
D. 23 square feet
Answer:
A i hope its right
Step-by-step explanation:
If a f=23cm, find the length of EC.
Answer:
37.3
Step-by-step explanation:
The length of EC shown in the diagram is 37.3.
"To understand the calculation, check below."
TrianglesΔBE -ΔAE= ΔAB
ΔAB=180°-148°
ΔAB=32°
ΔBE -ΔAB-ΔBC=ΔCD (Congruent angles)
ΔCD = 180-32-87
ΔCD =62
EC=61+32
EC=93
L=93•2pi23/360
L=37.3
Therefore , EC=37.3
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Use a vertical shift to graph the function. y=2sin(1/2)x+3
PLS HELP ME I WILL GIVE YOU BRAINLIEST!
Answer:
The answer is 4) 69.08 m
Step-by-step explanation:
Question is in the picture, will give brainliest
Answer:
Last option (bottom right)
Step-by-step explanation:
The scientific notation for 0.002 is [tex]2*10^-3[/tex] (you move the decimal 3 to the right to get 2)
multiply the number of mustard seeds with this and you get 80. In scientific notation it is [tex]8*10^1[/tex] (move the decimal 1 to the left to get 8.0)
WILL GIVE BRAINLIEST!!! (look at photo if confused)
Match each pair of equivalent expressions on the left with the appropriate property on the right.
3(x multiplied 4) = (3x) x 4
4(x + 5) = 4x + 20
2 + 7x = 7x + 2
Properties
A. Commutative property
B. Associative property
C. Distributive property
Answer:
4(x + 5) = 4x + 20 is C
2 + 7x = 7x + 2 is A
3(x multiplied 4) = (3x) x 4 is B
Step-by-step explanation:
Answer:
give other person brainliest!!! this is his alt
Step-by-step explanation:
Rhonda has an extra credit project to make a rectangular prism with the volume of at least 24 in3 . If the area of her base is 6 in2, which inequality would represent all the possible heights, h, of her prism in order to meet her teacher’s requirements?
A h ≥ 4
B. h ≥ 8
C h ≤ 4
D. h ≤ 8
Answer:
c
Step-by-step explanation:
Fred has a garden. He has 10 aucumber plants. This is 5% of all the plants in his garden. How many plants dons Fred have in his garden?