Answers
9514 1404 393
Answer:
12. 13
14. A
15. B
Step-by-step explanation:
I choose to work 3 problems to show how multiplication and division work with exponents.
__
12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).
We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...
(2x²)(4) +(5x)(x) = (8 +5)x² = 13x²
The missing coefficient is 13.
__
14. The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
The given expressions can be simplified as ...
Koby
[tex]\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1[/tex]
Paulo
[tex](m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m[/tex]
Kobe Only wrote an expression equivalent to 1.
__
15. The given expression is of the form
[tex]\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}[/tex]
The true statement is ...
the quotient has a remainder of -7/(2x)
__
Additional comment
Strictly speaking, a division problem can be expressed as ...
dividend = (divisor)(quotient) + remainder
In this instance, this would be ...
14x² +10x -7 = (2x)(7x +5) -7
which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.
The above (quotient) + (remainder) should actually be ...
(quotient) +(remainder)/(divisor)
You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.
Related Questions
Help me I do t know how to do this
Answers
1. Three graphs were created and the solution is identified on the graphs.
Solutions are
System A is upper right (1, 2)
System B is lower left ( 5, -6)
System C is lower right ( 1/2, 3)
2. Find the sum or difference. When you solve this way, you want either the x or the y values to cancel out so you can solve for one variable.
System A is already set up this way. See how the 4x and -4x cancel out?
4x + 3y = 10
-4x +5y = 6
__________
8y = 16
Divide both sides by 8 to solve
8/8 y = 16/8
y = 2
Sub y = 2 into either equation to solve x
4x + 3y = 10
4x + (3)(2) = 10
4x + 6 = 10
Subtract 6 from both sides to isolate variable
4x + 6 -6 = 10 - 6
Simplify
4x = 4
Divide both sides by 4 to solve
4/4 x = 4/4
x = 1
Solution pair is (1, 2)
System B has the y values ready to cancel out
2x + y = 4
x - y = 11
__________
3x .= 15
Divide both sides by 3 to solve for x
3/3 x = 15/3
x = 5
Sub x = 5 into either equation to solve for y
5 - y = 11
Subtract 5 from both sides
5-5 -y = 11 - 5
-y = 6
y = -6
Solution pair is ( 5, -6 )
System C - we need to multiply the second equation by -1 to create the cancel of x
8x + 11y = 37
8x + y = 7
-1. -1. -1
___________
-8x -y = -7
Now we can cancel the x’s and solve
8x + 11y = 37
-8x -y = -7
___________
10y = 30
Divide both sides by 10
10/10 y = 30/10
Simplify
y = 3
Now sub y = 3 into either equation to solve x
8x + (11)(3)= 37
8x + 33 = 37
Subtract 33 from both sides
8x + 33 - 33 = 37 - 33
8x = 4
Divide both sides by 8 to solve for x
8/8 x = 4/8
x = 4/8
Simplify
x = 1/2
Solution pair is ( 1/2, 3)
3. The graphs show the x horizontal line and y vertical line from the coordinate solution intersect with the lines of the two equations.
This was a lot of work. I hope it made sense.
A college has an acceptance rate of about 21% if 8700 students apply about how many will be accepted
Answers
Answer:
1827
Step-by-step explanation:
Answer:
1827
Step-by-step explanation:
21% of 8700 = 1827
Mark as Brainliest
-15 POINTS-
Don’t explain.
Y=[?]
Answers
Step-by-step explanation:
of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.
both shapes are similar.
that means that
1. both have the same angles
2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).
we need 2. here to solve.
AB / EF = f = 3/2
x = AD
x / EH = f = 3/2
x / 2.4 = 3/2
x = 2.4 × 3/2 = 7.2 / 2 = 3.6
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If p and q vary inversely and pis 11 when q is 18, determine q when p is equal to 9.
Answers
Answer:
q = 22
Step-by-step explanation:
Given that,
p and q are inversely proportional to each other i.e.
[tex]p=\dfrac{k}{q}[/tex]
Put p = 11 and q = 18
So,
[tex]11=\dfrac{k}{18}\\\\k=11\times 18\\\\k=198[/tex]
Now put k = 198, p = 9 and find q. So,
[tex]q=\dfrac{k}{p}\\\\q=\dfrac{198}{9}\\\\q=22[/tex]
Hence, the value of q is equal to 22.
(didnt mean to select an answer) can someone help me with this, and if possible please explain it I don't know how to do direct variation and all that
Answers
9514 1404 393
Answer:
(b) y = -5x
Step-by-step explanation:
When "y varies directly as x" the equation for that is ...
y = kx . . . . . . . for some constant k
The value of k can be found by solving for it:
k = y/x . . . . . . divide by x
So, the given point (x, y) = (2, -10) tells you the value of k is ...
k = -10/2 = -5
and the direct variation equation is ...
y = -5x
_____
Additional comments
There are a couple of other useful facts about direct variation. When you compare the equation to the slope-intercept form equation for a line, ...
y = mx + b
you see that b=0 and the slope, or rate of change, (m) is the same as k.
The y-intercept of 0 means that the graph of any direct-variation equation must go through the origin. (If it does not, then the variation is not direct.)
Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.
Item Cost
Cost of each jersey $
Cost of each pair of socks $
Cost of sales tax $
Answers
Answer
Cost of each jersey $6.75
Cost of each pair of socks $4.69
Cost of sales tax $1.03
Step-by-step explanation:
To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.
A moving sidewalk carries people at a rate of 400 feet per minute. How long is this moving sidewalk if it takes 4 minutes to travel from one end to the other?
A 25 feet
B 100 feet
C 404 feet
D 1600 feet
*process
Answers
Help
Fjfjdjfjdjdjdjdjjfjfjfhfjd
Answers
Answer:
A. 36°
Step-by-step explanation:
Given:
m<NST = 15x - 4
m<RSN = 6x
m<RST = 122°
Required:
m<RSN
Solution:
First we need to create an equation to determine the value of x.
Thus:
m<NST + m<RSN = 122° => angle addition postulate
15x - 4 + 6x = 122 (substitution)
Add like terms
21x - 4 = 122
21x - 4 + 4 = 122 + 4
21x = 126
21x/21 = 126/21
x = 6
✔️m<RSN = 6x
Plug in the value of x
m<RSN = 6(6) = 36°
One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away from the base of the pole.
If the height of the flagpole is 6 feet, find the length of the cable.
Answers
i think it 134
sorry if it wrong
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Answers
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
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(x+8)² find the product, please
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?
Answers
Answer:1 roll of ribbon left
Step-by-step explanation:
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
how do i simplify 12 /16 to the lowest terms and find equivalent fraction that has a denominator of 32
Answers
The prime factorization of 72 using exponential notation is 2³ x 3².
What is Prime Factorization?Prime factorization is a process of writing all numbers as a product of primes.
Given:
Prime factorization is representing a number in form of products of its primes.
Consider the given number 72
72 = 2 x 2 x 2 x 3 x 3
So, 72 can be written as 2 × 2 x 2 × 3 × 3.
Thus, exponential notation it can be written as 2³ x 3².
Also, Simplifying 12 /16 as
= 12/16
= 3/4
and, the equivalent fraction whose denominator is 32.
Then, 3/4 = x/32
4x = 96
x = 24
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The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base. a. 7 yd c. 16 yd b. 10 yd d. 14 yd
Answers
Area of a triangle = 1/2(base)(height)
21 = 1/2(b)(3)
Multiply both sides by 2
42 = 3b
Divide both sides by 3
b = 14
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answers
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]
Choose the function that represents the data in the table.
0
-3
1
-1
2
1
3
3
4
5
5
7
O f(x) = - 3
f(x) = 2x-3
f(x) = x2-3
f(x) = 2x2-3
Answers
Answer: C
Step-by-step explanation:
i just took the test of edg2021
The function hat represents the data in the table is :
f(x) = 2x² - 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the function that represents the data in the table.
The given table is -
{x} 0 1 2 3 4 5
{y} -3 -1 1 3 5 7
The function that will be represented by the table will be such that the coordinates of {x} and {y} will be satisfied by that function. The function that satisfy the given coordinates in the table is → y = 2x² - 3. So, it can be concluded that the function that represents the data in the table is : f(x) = 2x² - 3.
Therefore, the function hat represents the data in the table is :
f(x) = 2x² - 3.
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A delivery person has two different delivery routes that he follows. The first route is 20.75 miles long and the second is 33.25 miles long. He travels each route 4 times a week. After 8 weeks, how many total miles has he traveled?
Answers
Answer:
He travelled: 1728 miles
Step-by-step explanation:
20.75 * 4 = 83 (Route A miles a week)
33.25 * 4 = 133 (Route B miles a week)
83 + 133 = 216 (Route A + Route B)
216 * 8 = 1728
9789 dived by 11 that’s it
Answers
Answer: 889.909090909
Step-by-step explanation:
divide
I really need help with this question
Answers
Answer:
S= 76, T= 76, U= 104, R= 104
Y=104, V= 104, X= 76, W= 76
Step-by-step explanation:
Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).
U and V are alternating angles
so U and are 104
i d k the last one am so sorry
what is between 3.25 and 3.26
Answers
Answer:
3.251, 3.252, 3.253, 3.254, 3.255.......3.259
Step-by-step explanation:
Answer:
3.251, 3.252, 3.253, 3.254, 3.255, 3.256, 3.257, 3.258 , and 3.259
Step-by-step explanation:
Can someone sole this please
Answers
The value of u is given by the equation u = 37°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the sum of total internal angles of a triangle be = 180°
Now , the triangle be ΔABC
The measure of ∠A = u + 4°
The measure of ∠B = u
The measure of ∠C = ( 180° - ( u + 41° ) ) ( angles on a straight line = 180° )
From the triangle theorem ,
u + 4° + u + ( 180° - ( u + 41° ) ) = 180° be equation (1)
On simplifying the equation , we get
2u + 184° - u - 41° = 180°
u + 143° = 180°
Subtracting 143° on both sides of the equation , we get
u = 37°
Therefore , the value of u is 37°
Hence , the value of u in the triangle is 37°
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Help soon would be greatly appreciated
The Kimbroughs'
home has a replacement value
of $82,700. They are insuring it for 80% of the
replacement cost.
a. What is the amount of insurance?
b. What is the amount of coverage for
personal property?
c. What is the amount of coverage
for loss of use?
d. What is the amount of coverage for the garage?
Answers
According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.
How to calculate the amount of each insurance?To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.
A. What is the amount of unsurance?$82,700 / 100 = 827827 * 80% = $66,160B. What is the amount of coverage for persona property?$82,700 / 100 = 827827 * 59% = $41,350C. What is the amount of coverage for loss of use?$82,700 / 100 = 827827 * 20% = $16,540D. What is the amount of coverage for the garage?$82,700 / 100 = 827827 * 10% = $8,270Learn more about insurance in: https://brainly.com/question/27822778
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please please help middle school math I really need it I will give you brainliest I promise! PICTURE INCLUDED!
Answers
The starting point is in quad Q and the checkpoint is in P. The checkpoint is the starting point reflected across the Y axis.
Can someone solve this
Answers
Answer:
So the side with the red square is 90 degrees. Anytime you see that that's what it will be. The inside of the triangle should equal 180 so 90 + 60 is 150. 180-150 = 30
Two side lengths are 90 and 30.
Step-by-step explanation:
If the x and y are pythagorean theorem then a2+b2=c2
If not then y= 120
and x= 150
the outside should equal 360
What is the measure of missing angle F?
Answers
Answer:
84 (:
Step-by-step explanation:
Consider the piecewise function.
f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout
The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus?
Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.
Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus.
Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus.
Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.
Answers
Answer: A.
= 2
= 9
Step-by-step explanation:
edge2021
Answer:
A
Step-by-step explanation:
EDGE
Someone help me please :(
Answers
9514 1404 393
Answer:
A. ∠EAG and ∠BAC
Step-by-step explanation:
Vertical angles share a vertex and have opposite rays for sides.
Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.
The other pair is ∠EAC and ∠BAG.
I NEED HELP I HAVE BEEN DOING THIS FOR HOURS I ACTUALLY HAD A MENTAL BREAKDOWN PLEASE HELP ME I WILL MARK BRAINLIEST
Answers
Answer:
x=8
Step-by-step explanation
Vertical angles are always congruent which means they are equal
Since we know this we can simply set the two angle equal to each other so...
5x-5=2x+19
Now what we do is add five to 19 and subtract 2x from 5x to get
3x=24
simply divide 24 by 3 to isolate x and now we have
x=8
Hope this was helpful!
Find the volume of this figure, rounded to the nearest whole number. DO NOT INCLUDE THE UNIT OF MEASURE!
Answers
Answer:
483
Step-by-step explanation:
A=1/2(a+b)h
A = 96.6
V = A x h
V = 96.6 x 5
V=483
Find the missing length indicated. Leave your answer in simplest radical form.
Please help due today!!
Answers
The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x
X is 25 in this case