An expression is defined as a set of numbers, variables, and mathematical operations. The quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be solved as,
[tex]\dfrac{x^3+3x^2-4x+5}{x^2-2}\\\\\\= x + \dfrac{3x^2-2x+5}{x^2-2}\\\\\\= x + 3+\dfrac{-2x+11}{x^2-2}[/tex]
Hence, the quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).
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Show what you know: Exponents
Find the missing exponent exponent.
32 = 2?
? =
Emma and arianna recoreded how much money they earned for doing chores for a each week for 5 weeks, the results were are lised below
Answer:
Step-by-step explanation:
It’s 0
The drama club members want to buy 862 bags of popcorn to serve during the intermission of their play. If popcorn comes in cases of 24 bags, what is the minimum number of cases that they need?
Answer:36
Step-by-step explanation:
find the area of the figure below:
Answer:
104 ft^2
Step-by-step explanation:
Answer:
104 ft²
Step-by-step explanation:
you can solve this multiple ways, one way is: find the area of the big rectangle and subtract from it the area of the small rectangle
big rectangle
A big = 8 * (5+6+5)= 8 * 16 = 128 ft²
small rectangle
Asmall = 4*6 = 24 ft²
area of the shape
Abig -Asmall = 128-24 = 104 ft²
I rly rly rly rly rly rly rly rly rly rly rly need help for sum reason
Answer:
6*5=30 units
Step-by-step explanation:
Brainliest?
If x = 34, y = 53, and the measure
of AC = 4 units, what is the difference in length between
segments AB and AD? Round your answer to
the nearest
hundredth.
A- 0.74
B- 1.17
C- 1.64
D- 2.14
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
10 cm
3 cm
I need help with this
Answer:
Step-by-step explanation:
I am giving away points if you answer this Question
What is 2+2
which expression is equivalent to 20x−8y
1. 2(10x+4y)
2. 4(5x−8y)
3. 4(5x−2y)
4. x(20−8y)
Answer:
1.
Step-by-step explanation:
We are trying to find out what is equal to 2(10x+4y)
2(10x+4y)
because 2 times 10x is 20x, 4y times 2 is 8y!
Find each measure :)
Answer:
K = 180 - 45 = 135
J = 180 - 92 =88
Step-by-step explanation:
K = 180 - 45 = 135
J = 180 - 92 =88
To prepare for a bake-off, Luis used 590 grams of flour each day for 3 weeks. How many kilograms did Luis use in those 3 weeks? 1 g = 0.001 kg Solve this on paper. Then check your answer on Zearn. Luis used kilograms of flour in 3 weeks.
Answer: [tex]12.39\ kg[/tex]
Step-by-step explanation:
Given
Luis used 590 gm of flour each day
If he continues to use it for 3 weeks
A week has 7 days; so 3 weeks have 21 days
The flour used in 21 days
[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]
Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks
The question is the picture
Answer:
Step-by-step explanation:
Hope this helps u!!
note :if u change divide sign to multiplication sign then do the reciprocal
for eg:
3/4÷3/100
then write,
3/4*100/3
After Charlie ate 2/3 of the remaining cake, he divided the rest equally among his 3 friends. What fraction of the pan of cake did each friend get? Write an expression and show all of your work.
Answer: 1/9 of the cake
Step-by-step explanation:
Charlie ate 2/3 of the cake which means that what is left to give the friends is:
= 1 - 2/3
= 1/3 of the cake
This was divided equally amongst three friends so the expression would be:
= 1/3 ÷ 3
This can also be written as:
= 1/3 * 1/3
= 1/9
Each friend got 1/9 of the cake.
Answer:
1/9 of the cake
Step-by-step explanation:
1 - 2/3 = 1/3 left
(1/3) / 3 = 1/9 = what each friend got
In one fell swoop we have ( 1 - 2/3) / 3 = 1/9
ASAP NEED HELP THX LOOK AT PICTURE !!!
what can 18 and 6 both be divided by
Answer:
6
Step-by-step explanation:
they can both be divided by 6
Answer:
they can both be divided by 6
Step-by-step explanation:
18÷6=3
6÷6=1
what is 1.65 meters tall measured in centimeters?
Answer:
165 centimeters
Step-by-step explanation:
An example of calculating BMI using the formula: Height = 165 cm (1.65 m), Weight = 68 kg One centimeter is equal to 0.01 meter: 1cm = 0.01m. You are 65 inches tall. 65 * (2.54) = 165.1 cm.
Answer:
165 cm
Step-by-step explanation:
1.65 meters = 1.65 × 100 = 165 centimeters
0.39+0.11= adding decimals
Please answer this math question
Answer:
[tex] \frac{-5}{28} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]
Required:
Solve
Solution:
[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]
Apply distributive property by multiplying each reaction in the box by -⅕
[tex] (\frac{-1}{5} * \frac{3}{4}) + (\frac{-1}{5} * \frac{1}{7}) [/tex]
[tex] \frac{-3}{20} + \frac{-1}{35} [/tex]
Add together. Common denominator is 140. Therefore:
[tex] \frac{-21 + (-4)}{140} [/tex]
[tex] \frac{-25}{140} [/tex]
Simplify further
[tex] \frac{-5}{28} [/tex]
Need help with this as well tyy
Answer:
<F =~ <LGH/KL = FH/JL<G =~ <KHope that helps! :)
-Aphrodite
Step-by-step explanation:
work out the size of angle x
ill mark brainliest first corect answer!
Answer:
65°
Step-by-step explanation:
First we find the sizes of the other two sides, as the bottom line is straight all angles on it must add up to 180 so:
180-105=75
So the first angle is 75°
180-140=40
So the second angle is 40°
Now as the angles of a triangle add up to 180 we can derive this equation:
75+40+x=180
and all we do is just subtract both sides by 75 and 40:
x=180-75-40
x=65
And 65 is our answer
URGENT
Use technology or a z-score table to answer the question.
The amount spent by customers at a grocery store is normally distributed with a mean of $144.05 and a standard deviation of $34.52.
Approximately what percent of customers at the grocery store spend more than $200?
5.3%
8.2%
91.8%
94.7%
Answer:
5.3%
Step-by-step explanation:
The first step is to find the z score corresponding to $200.
[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{200-144.05}{34.52}\approx 1.62[/tex]
The next step is to find the area under the standard normal curve to the right of z = 1.62. Some graphing calculators can do this, and there are tables that will help, although many of those show areas to the left of a particular z-score.
Calculator (TI-83/84)
See the attached image.
The command uses 1 x 10^99 as "positive infinity" and calculates the area under the normal curve from 1.62 all the way to the right.
Table
See attached table. This table shows areas to the left of a certain z-score.
Find the entry for 1.62 (it's on page 2 highlighted with a red box). The table says the area to the left of 1.62 is 0.9474.
But the area under the entire curve is 1!
This important fact means that the area to the right of z = 1.62 is 1 - 0.9474 = 0.0536, about 5.3%
(To get the area to the right of z, subtract the area to the left of z from 1.)
a plant normally sells $6.50. today all plants are discounted by 25%. What is the sale price of the plant ?
Answer:
100% -> 6.50
100 - 25 = 75
75% -> 6.50/100 x 75
= 4.875
≈ 4.88
Answer:
$4.875 or if rounded $4.88
Step-by-step explanation:
Hope this helped
also u just have to subtract 6.50 by 25%
If a supermarket sells 5 bags of grapes for Rs. 16.60, what is the unit price of a bag of grapes?
A. 3.32
B. 4.32
C. 5.32
D. 2.32
Answer:
It's A
Step-by-step explanation:
HELP DUE IN 10 MINS!
Quadrilateral MATH has vertices M(-3, 1), T(2, 6), H(1, 1).
Plot a point A to make MATH a parallelogram.
1. What are the coordinates of A ( , )??
Answer:
A = (6,6)
Hope this helps!
A two-digit number is a multiple of 9. Find the number if 1/3 of the number is 3 greater than 1/2 of the reverse number. no files please
Answer:
63
Step-by-step explanation:
1/3 of 63= 21
and the reverse of 63 is 36
so 1/2 of 36 =18
so 21-18 =3
hence proven
The two-digit number will be 63 for the given condition.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
1/3 of 63= 21
And the reverse of 63 is 36
so 1/2 of 36 =18
so 21-18 =3
Therefore the two-digit number will be 63 for the given condition.
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calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided
Answer:
720°, 2340°, 180°
Step-by-step explanation:
Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.
♦ Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).
See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.
What about a 15-sided regular polygon? How many triangles would be formed by putting in all the diagonals coming from one vertex? There will be 2 fewer triangles than the number of vertices, 13.
♦ The total of interior angle measures in a 15-gon is 13(180°) = 2340°
♦ A polygon with 3 sides is a single triangle; interior angle sum = 180°
In March 2012, film director James Cameron climbed inside the Challenger Deep and descended into the deepest part of the Pacific Ocean, the Mariana Trench. After 12hour, the craft was approximately 2,750 meters beneath the ocean surface. Which equation describes the depth of the Challenger Deep in relation to sea level after 1 hour if they continue to descend at the same rate?
Answer:
hey guys!! answer is B!!
Step-by-step explanation
hope this helps!
Answer:
b give brainest
Step-by-step explanation:
In Ellen's math class, there were 2 boys to every 3 girls. Which of the following could be the ratio of girls to boys in the class? As a fraction
Answer:
A . 17/21
B . 14/21
C . 7/14
D. 11/17
Step-by-step explanation:
Answer:
Answer is B: 14 to 21
Step-by-step explanation:
The ratio "2 to 3" was multiplied by 7 to get this ratio. All the other following are incorrect.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
first Q . mirror
Second Q. sight and touch
Answer: Smoothest surface: mirror
senses being used: sight and touch
hope this helps!
Step-by-step explanation:
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50. Declan spent $10 and bought a total of 6 steaks and watermelons. How many of each did he buy?
Answer:
Step-by-step explanation:
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50. Declan spent $10 and bought a total of 6 steaks and watermelons. How many of each did he buy?
Let us represent
Steaks = x
Water melons = y
Our system of equations is given as:
x + y = 6.. Equation 1
x = 6 - y
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50.
$2× x + 1.5 × y = $10
2x + 1.5y = 10... Equation 2
Substitute
2(6 - y) + 1.5y = 10
12 - 2y + 1.5y = 10
12 - 10 = 2y - 1.5y
2 = 0.5y
y = 2/0.5
y = 4