Answers
Related Questions
An equilateral triangle has a perimeter of 102 in. What is the length of each side of the triangle?
Answers
Your Turn: In the diagram, AB = 12, BX = 2.5, and DX = 5. Find CD. Show all work. *
Answers
What is the remainder when 4x4 − 10x3 + 14x2 + 7x − 19 is divided by 2x − 1
Answers
___________________
2x-1 | 4x^4-10x³+14x²+7x-19
Next, we divide the first term of 2x-1 by the first term of 4x^4-10x³+14x²+7x-19 to get 4x^4/2x=2x³ (since 4/2=2 and to divide exponents you subtract the denominator from the numerator). Next, we put our 2x³ on the top and multiply (2x-1) by that. With the result of (2x-1) and 2x³, we multiply that by -1 and add it to 4x^4-10x³+14x²+7x-19, looking like
2x³
___________________
2x-1 | 4x^4-10x³+14x²+7x-19
- (4x^4-2x³)
____________________
-8x³+14x²+7x-19. Repeating the process, we get
2x³-4x²+5x+6
___________________
2x-1 | 4x^4-10x³+14x²+7x-19
- (4x^4-2x³)
____________________
-8x³+14x²+7x-19.
-(-8x³+4x²)
______________________
10x²+7x-19
-(10x²-5x)
__________
12x-19
-(12x-6)
_________
-13 as our remainder
The remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.
The given expressions are [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] and 2x-1.
What is the remainder?The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.
The division of the given expressions are given below:
2x³-4x²+5x+6
___________________
2x-1 | [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex]
- ([tex]4x^4-2x^3[/tex])
____________________
-8x³+14x²+7x-19.
-(-8x³+4x²)
______________________
10x²+7x-19
-(10x²-5x)
__________
12x-19
-(12x-6)
_________
-13
Therefore, the remainder when [tex]4x^4 - 10x^3 + 14x^2 + 7x - 19[/tex] is divided by 2x − 1 is -13.
To learn more about the algebraic expressions visit:
https://brainly.com/question/15211952.
#SPJ5
The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?
Answers
Grade Teachers Students
6 1 25
7 2 50
8 3 75
Grade 6 to 8 all maintained the same proportional relationship because for every one teacher, there's 25 students
3 different problems, sorry these type confuse me
f(x) = 5x - 1 and g(x) = 6x, find f(g(x))
f(x) = 5x - 1 and g(x) = 6x, find g(f(x))
f(x) = 5x - 1 and g(x) = 6x, find g(f(2))
Answers
= 5(6x) - 1
= 30x - 1
g [f(x)]
= 6(5x - 1)
= 30x - 6
g [f (2)]
= 6 [5(2) - 1]
= 6 (10 - 1)
= 60 - 6
=54
What is the simplified form of the following expression square root 1/121
A 2/121
B 1/242
C 11
D 1/11
Answers
Since a square root is like the opposite of multiplying, you can think of the top and the bottom separately for this too!
First, let's start with the top. The square root of 1 is 1, so the numerator is 1.
Now, let's do the bottom. The square root of 121 is 11, so the denominator is 11.
So, the answer is D, 1/11. You can check your answer by squaring it, and getting 1/121.
Hope this helps!
How many sides of a polygon have if the sum of the measures of its angle is 2880?
Answers
(n-2)×180=sum
(n-2)×180=2880
n-2=2880/180
n-2=16
n=16+2
n=18
Therefore, this polygon would have 18 sides.
Hope I helped :)
If their food and beverages cost $25.30 and there is an 8% meals tax
Answers
Tax = 8% x $23.50
= $18.80
End cost = $25.30 + $18.30
= $44.10
Hope this helps :))
~Top
Answer:
Then they'll pay $27.32
Step-by-step explanation:
In order to determine this, start by multiplying the cost of the meal by the tax amount.
25.30 * 8% = 2.02
Now add the tax to the meal cost
25.30 + 2.02 = 27.32
A newspaper carrier can deliver 49 papers in one hour at this rate how many newspaper can the carrier deliver in 3 hours
Answers
Have a nice day.
What is the area of the figure. Show your work.
Answers
The ratio of the sides is
1: 1: sqrt(2)
The legs have length (24 ft)/(sqrt(2)
The legs are the base and height.
A = bh/2 = [(24 ft)/(sqrt(2)) * (24 ft)/(sqrt(2))]/2 = [(576 ft^2)/2]/2
A = 144 ft^2
HOW CAN I SOLVE IT u=2x-2 for x
Answers
We simply need to isolate x :) That just means that we need to get x onto it's own side of the equal sign.
So, add 2 to both sides.
2 + u = 2x
Then, divide both sides by 2.
2 + u ÷ 2 = 2x ÷ 2
Simplify.
1 + u/2 = x
So, x = 1/2u + 1
~Hope I helped!~ :)
Then, divide both sides by 2 to fully isolate x. This would give you an answer of u+2/2 = x.
What is the sum of the solution of 2lx-1l-4=-2
Answers
Find an equation of the line l that contains the points left parenthesis 0 comma 0 right parenthesis(0,0) and left parenthesis 3 comma 2 right parenthesis .
Answers
Find a) the GCM (Greatest Common Multiple) and b) the LCM (lowest common multiple:
x²- 3x + 2; x²- 4x + 4
Answers
To do both parts, you need ot factor the polynomials.
x^2 - 3x + 2 = (x - 2)(x - 1)
x^2 - 4x + 4 = (x - 2)(x - 2) = (x - 2)^2
(a) GCF: use only common factors with lower exponent.
The GCF is x - 2
(b) LCM: use common and not common factors with the larger exponent.
The LCM is (x - 2)^2(x - 1)
A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Let x-53 = number of student tickets sold
x + x -53 = 697
2x - 53 = 697.
Add 53 to both sides to get:
2x = 750
Divide both sides by 2 to get:
x = 375
375 adult tickets were sold.
Which shape has congruent diagonals? Question options:
a rectangle
a parallelogram
a trapezoid
Answers
Because some angles are more out than others in Parallelograms and trapezoids, their diagonals aren't congruent.
The cost of a pair of jeans was changed from $78 to $68.64. What was the percent change?
Answers
Answer:
-12.00%
Step-by-step explanation:
;)
Answer:
12% decrease
Step-by-step explanation:
Please Help Me Anyone !!!
Addison earned a gross income of $42,750 last year. She made $537.56 in IRA contributions, donated $918 to her favorite charity and paid $1,351.35 in home mortgage interest. If Addison claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
$30,593.09
$36,293.09
$31,511.09
$32,862.44
Answers
so A is the answer
Answer:
The answer is: $ 30,593.09.
Step-by-step explanation:
To the gross income of $ 42,750 of Addison, the amounts of the payments made must be deducted, that is, $ 537.56, $ 918, $ 1,351.35, plus the exemption of $ 3,650, and also if they grant him the standard deduction of $ 5,700; Your taxable income would be: $ 42,750 - ($ 537.56 + $ 918 + $ 1,351.35 + $ 3,650 + $ 5,700) = $ 30,593.09
The answer is: $ 30,593.09.
Sandy had 161 dollars to spend on 9 books. After buying them she had 17 dollars. How much did each book cost
Answers
Tia cuts a 4-meter 8-centimeter wire into 10 equal pieces.Marta cut a 540-centimeter wire into 9equal pieces. How much longer is one of Marta's wires than one of Tia's
Answers
tia = 408/10 = 40.8 cm
Tia's wire pieces are 40.8 cm long
Marta's wire, it is 540 centimeter long and is divided into 9 pieces
marta = 540/9 = 60 cm
Marta's wires are longer than Tia's
Marta's wire is 19.2 cm longer than tias
60cm - 40.8cm= 19.2 cm
The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?
Answers
The correct answer is:
11 containers.
Explanation:
We want 96 boxes total. Each container can hold either 10 small boxes or 8 large boxes. To solve this, we want to subtract multiples of 10 from 96 until we have a number that is divisible by 8. This is because we cannot have a fraction of a container full of either big or small boxes.
96-10(1) = 96 - 10 = 86; this is not divisible by 8.
96-10(2) = 96 - 20 = 76; not divisible by 8.
96-10(3) = 96 - 30 = 66; not divisible by 8.
96-10(4) = 96 - 40 = 56; this is divisible by 8.
This means there are 4 containers of small boxes, for 4(10) = 40 boxes, and 56/8 = 7 containers of large boxes, for 56 boxes. This is a total of 4+7 = 11 boxes for our 40+56 = 96 boxes.
How to do a math probem of two people working together?
Answers
The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance would it be possible for the cross section be a non-rectangular parallelogram?
Answers
The cross-section of a cube can be a non-rectangular parallelogram when the cutting plane is not perpendicular to the cube's base.
The scenario where a cube's cross-section can be a non-rectangular parallelogram occurs when the cutting plane is at an angle other than a right angle to the cube's base. This results in a parallelogram that is not a rectangle, as the cutting plane affects the shape of the cross-section.
When the cutting plane deviates from being perpendicular to the base of the cube, it creates a cross-section that is not a rectangle but can be a parallelogram with unequal angles and sides.
Understanding the geometric implications of the cutting plane's orientation is crucial in visualizing how the cube's cross-section can vary from a rectangular shape to a non-rectangular parallelogram.
The price of an item has been reduced by 55% . The original price was $80 . What is the price of the item now?
Answers
=$36
the price of the item is $36 now
Which is correct regarding the statement: “If x is an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number”
Answers
the median is the number in the middle when the numbers are arranged in increasing order
if there are an even number of numbers in the set, take the average of the middle 2
we have x,x+2,x+6,x+10
there are 4 numbers, so the median will be the avergage between x+2 and x+6 which is [tex]\frac{x+2+x+6}{2}=\frac{2x+8}{2}=x+4[/tex]
now, if x is odd, then replace x with 2n+1
(2n+1)+4=
2n+1+4=
2n+5=
2n+2(1)+1
even+even+odd=odd
the statement is true
x+2 is also odd (eg: x = 3, so x+2 = 3+2 = 5)
x+6 is also odd for similar reasons above
x+10 is also odd
We have four values. The median is found in the middle, so exactly halfway between x+2 and x+6
Add up x+2 and x+6 to get
(x+2)+(x+6) = 2x+8
Then divide that result by 2. In other words, divide everything by 2
2x/2+8/2 = x+4
The result x+4 is odd since adding any even number to an odd number is going to result in an odd value
So the claim is true
--------------------------------------------------------------------------------
Alternative method:
x is odd so x = 2k+1 where k is any integer
x+2 = 2k+1+2 = 2k+3
x+6 = 2k+1+6 = 2k+7
x+10 = 2k+1+10 = 2k+11
Add up the two middle terms
(x+2)+(x+6) = (2k+3)+(2k+7) = 4k+10
Divide that result in half
4k+10 ---> 4k/2 + 10/2 = 2k+5 = 2k+4+1 = 2(k+2)+1
The expression 2(k+2)+1 fits the form 2m+1 where m = k+2 is an integer
So 2(k+2)+1 is odd making the median to be odd.
This further helps support why the claim is true
When developing a plan for a geometric proof, which of the following is not important?
A.) evaluate the given statement(s)
B.)determine the number of steps needed
C.)look carefully at the figure
D.)create a plan for the proof
Answers
Answer: B.)determine the number of steps needed
Step-by-step explanation:
A geometric proof of a geometric statement includes the following steps :-
a) Evaluate the given statement.
b) Look carefully at the figure related to the geometric statement .
c) Create a plan to express the proof.
d)Then use definitions, given axioms, postulates and previously proved theorems to write a logical explanation approaches to the conclusion.
Hence, the step is not important to develop a plan for a geometric proof: is "determine the number of steps needed" .
what is thirty five percent of two hundred
Answers
2 * 35 =
70
The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x2 + (y − 4)2 = 16; about the y-axis
Answers
[tex]\bf \displaystyle \pi \int\limits_{0}^8~8y\cdot dy - \pi \int\limits_{0}^8~y^2\cdot dy\implies \pi \left[ 4y^2~-~\cfrac{y^3}{3} \right]_{0}^8 \\\\\\ \pi \left[ \left[ 256-\cfrac{51}{3} \right]~-~[0] \right]\implies \pi \cdot \cfrac{256}{3}\implies \cfrac{256\pi }{3}\implies 85\frac{\pi }{3}[/tex]
You can use a minus sign to make a negative number like -2. what happens if you put a plus sign before a number? what about 2++2?
Answers
Final answer:
A plus sign before a number does not change its value. In the expression 2++2, the two plus signs next to each other are interpreted as a positive number followed by another positive number.
Explanation:
When you put a plus sign before a number, it doesn't change the value of the number.
The plus sign is just a symbol to indicate that the number is positive.
In the expression 2++2, the two plus signs next to each other are not a valid mathematical operation.
Instead, it is interpreted as a positive number followed by another positive number.
So, 2++2 is equal to 2+2, which is 4.
The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?
Answers
All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21
46 + 48 + 21 + 12 + 15 + 8 = 150
150 ÷ 7= 21.4285 = 21
The mean age of the family members (46, 48, 21, 12, 15, and 8) is calculated by adding all the ages to get a sum of 150, and then dividing by the number of family members, which is 6, resulting in a mean age of 25 years old.
To calculate the mean age of the family members, you add up all of the ages and then divide by the number of family members. The ages given are 46, 48, 21, 12, 15, and 8. Let's find their sum:
Add the ages together: 46 + 48 + 21 + 12 + 15 + 8 = 150.
Count the number of family members, which is 6.
Divide the total sum of ages by the number of family members: 150 \/ 6 = 25.
Therefore, the mean age of the family members is 25 years old.