HELP PLEASE !!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
What mistake did Lorie make?
A. She added an extra term to the dividend.
B. She combined the constants incorrectly in the last step.
C. The second term in the quotient should be 7.
D. The last term in the quotient has an incorrect denominator.
Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (x³ + x² - x)
5x² + x + 5
-(5x² + 5x - 5)
-4x + 10
Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?
Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
у
STEPS
1.
2
(0,1)
2.
3.
X
6
-310
4
-2
(4, -2)
+4
slope
AnsweI'm nauseous, I'm dyin'
(She ripped my heart right out)
Can't find her, someone to
(My eyes are all cried out)
Lost it, riots
Gunfire inside my head, I've
Lost it, riots
Gunfire inside my headr:
Step-by-step explanation:
Which is the best description for the graph?
Answer:
decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward
Which 2 subjects are 2 unit apart
Answer:
I believe that your answer is C and Moon.
you have been planning to buy a new swimsuit this year. you just found one that you really like that is 50% off. if the original cost of the swimsuit is $24 how much is it now?
Answer:
$12
Step-by-step explanation:
50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.
20x+x-2=4 rational equation
Answer:
x = 2/7
Step-by-step explanation:
Step 1: Write equation
20x + x - 2 = 4
Step 2: Solve for x
Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7Step 3: Check
Plug in x to verify it's a solution.
20(2/7) + 2/7 - 2 = 4
40/7 + 2/7 - 2 = 4
42/7 - 2 = 4
6 - 2 = 4
4 = 4
Answer:
x = 2/7
Step-by-step explanation:
Collect like terms:
20x + x = 21x ----> 21x - 2= 4
Move the constant to the right hand side and change the sign of the constant:
21x = 4 + 2
Calculate:
21x = 4 + 2 ---> 21x = 6
Divide both sides by 21:
21/21 and 6/21 = 2/7
Solution:
x = 2/7 or x= 0.285714
eight water faucets having the same rate of flow,fill a tank in 27 minutes.If two faucets are turned off,how long will the remaining 6water faucets take to fill the tank?
Answer:
36 minutes
Step-by-step explanation:
If x is the flow rate of each faucet, then 8x is the flow of eight faucets, and the volume of the tank is:
V = (8x) (27)
V = 216x
When there are six faucets, the time is:
216x = (6x) t
t = 36
Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation can be used to determine how much the electrician charged per hour? (Tek 7.10A)
Answer:
First one (5x=320-70)
Step-by-step explanation:
If she paid 70$ for parts, then you have to subtract it from 320$ because that is the total. Therefore, 5x will be equal to 320-70 or 5x=320-70 :)
What is a possible third side to a triangle with side lengths of 13 and 4?
The possible third side to a triangle is 12.
Given that,
The side length is 13 and 4.We need to find the third side length.
Based on the above information, the calculation is as follows:
Here we use the pythagoras theorem.
[tex]= \sqrt{13^2 - 4^2} \\\\= \sqrt{169-16} \\\\= \sqrt{153}[/tex]
= 12.37
= 12
Learn more: brainly.com/question/17429689
Which of the pairs of events below is mutually exclusive?
Select the correct answer below:
drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
drawing a 2 and drawing a 4 with replacement from a standard deck of cards
drawing a heart and then drawing a spade without replacement from a standard deck of cards
drawing a jack and then drawing a 7 without replacement from a standard deck of cards
Answer:
Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
Step-by-step explanation:
Given four pair of events:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards
To find:
Which of the pairs is mutually exclusive?
Solution:
First of all, let us have a look at the definition of mutually exclusive events.
Mutually exclusive events do not have any case in common.
In other words, two events are known as mutually exclusive when both the events can not occur at the same time.
Now, let us have a look at the given options one by one:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
We know that there is only one ace of spades in a standard deck.
Therefore, the two events can not occur one after the other, so these are mutually exclusive events.
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.
The two events can occur one after the other, so these are not mutually exclusive.
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope
Question 2/ what is the slope of the line represented by y = -5x + 2?
Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?
Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12
Angle 9 and angle 8 are what kind of angles? *
2
8/1
6/5
11/12
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
What is the value of x.
Answer:
Angle 9 and Angle 8 they are the same
Step-by-step explanation:
Answer:
1,2,5
Step-by-step explanation:
is 2 tenths + 11 hundredths greater than 0.14?
2 tenths + 11 hundredths is greater than 0.14.
2 tenths +11 hundredths is 3 tenths and 1 hundredth, or 0.31
What is the answer to -1x(-2)
Answer: 2x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D
Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1
The required value for the lamina of uniform density [tex]\bar x\\[/tex] and [tex]\bar y[/tex] are written below,
[tex]\bar x = \dfrac{5}{8}\\[/tex]
[tex]\bar y = \dfrac{5}{14}[/tex]
Given that:
The density of lamina: ρThe graph for the lamina: [tex]y = x^{\frac{2}{3}}[/tex], y = 0, and x = 1Calculus's core idea of integration entails determining a function's integral. It is a reverse process of differentiation that enables us to compute cumulative numbers, find the area under a curve, solve differential equations, and more.
The function can be written as,
[tex]m = \rho\int_0^1x^{\frac{2}{3}}dx\\= \rho\left[\dfrac{x^{\frac{5}{3}}}{\frac{5}{3}}}\right]\\=\dfrac{3}{5}\rho[/tex]
The value of Mx can be calculated as,
[tex]M_x = \rho\int_0^1\dfrac{x^{\frac{2}{3}}}{2}}\times x^{\frac{2}{3}}dx\\=\dfrac{\rho}{2}\left[\dfrac{x^{(\frac{2}{7})}}{\frac{7}{3}}\right]_0^1\\=\dfrac{3}{14}\rho[/tex]
Calculate the value of My,
[tex]M_y =\rho \int_0^1 x\times x^{\frac{2}{3}}dx\\=\rho \left[\frac{x^\frac{8}{3}}{\dfrac{8}{3}}\right]\\=\dfrac{3}{8}{\rho[/tex]
The value of [tex]\bar x\\[/tex] will be calculated as,
[tex]\bar x = \dfrac{M_x }{m}\\=\dfrac{ \dfrac{3}{8}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{8}[/tex]
The value of [tex]\bar y\\[/tex] is calculated as,
[tex]\bar y= \dfrac{M_y }{m}\\=\dfrac{ \dfrac{3}{14}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{14}[/tex]
Therefore, the required values are [tex]\bar x = \dfrac{5}{8}\\[/tex] and [tex]\bar y = \dfrac{5}{14}[/tex].
To know more about the area of the region follow
https://brainly.com/question/32613818
#SPJ12
What are reasons A, B, and C in the proof?
Prove: (4 · 3)l + (2 · 4)l = 20l
Statements Reasons
(4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________
= 4(3l + 2l) B. _________________
= 4(5l) Addition
= (4 · 5)l C. _________________
= 20l Multiplication
Answer:
A. Commutative property
B. Associative and distributive properties.
C. Associative property.
Step-by-step explanation:
We proceed to present which reason are utilized by supporting procedure:
1) [tex](4\cdot 3) \cdot i +(2\cdot 4)\cdot i[/tex] Given
2) [tex](4\cdot 3)\cdot i +(4\cdot 2)\cdot i[/tex] A. Commutative property
3) [tex]4\cdot (3\cdot i+2\cdot i)[/tex] B. Associative and distributive properties.
4) [tex]4\cdot (5\cdot i)[/tex] Addition.
5) [tex](4\cdot 5)\cdot i[/tex] C. Associative property.
6) [tex]20\cdot i[/tex] Multiplication/Result.
is 33 a prime or a composite number
Answer:
A composite number
Step-by-step explanation:
because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number'.
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
The sum of twice a number n and 8 is less than 25
Answer:
2n+8=25
Equation
Step-by-step explanation:
n=8.5
This is the answer
Given vectors a = (2, 6) and b = (-3, 4), find – 3 a +5b.
Write your answer in component form.
Answer:
[tex]\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left<-21;\ 2\right>}[/tex]
Step-by-step explanation:
[tex]\overrightarrow{a}=\left<2;\ 6\right>\\\\\overrightarrow{b}=\left<-3;\ 4\right>\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left<2;\ 6\right>+5\left<-3;\ 4\right>=\left<-3\cdot2;\ -3\cdot6\right>+\left<5\cdot(-3);\ 5\cdot4\right>\\\\=\left<-6;\ -18\right>+\left<-15;\ 20\right>=\left<-6+(-15);\ -18+20\right>=\left<-21;\ 2\right>[/tex]
line m passes through point (-2,-1) and is perpindicular
In the game of roulette, a wheel consists of 38 slots, numbered 0, 00, 1, 2, ..., 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. To simulate outcomes from spinning the wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to 38, where 37 represents 0 and 38 represents 00.
Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?
Answer:
hkkkkkkkkv
Step-by-step explanation:
khvvvvvvvvvvvvvvv
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
A net is cut from a piece of cardboard that is 13 inches by 17 inches. The cardboard that is not used for the net is recycled.
How many square inches of cardboard are recycled?
Answer:
109 sq in
Step-by-step explanation:
By adding up all the areas in the net, we get 112 sq in. We then use that number to subtract from the area of the cardboard which is 221 sq in. We then get 109 sq in from that. Hope this helps.
A submarine is diving to a total depth of 57 feet. It descends 10% of the total depth in 1 minute. How deep will the submarine be after 2 minutes?
Answer:
11.4
Step-by-step explanation:
10% of 57 is 5.7
5.7 in 1 min
5.7*2 for 2 min
you get 11.4
Hooray! You solved the problem!
Answer:
It's 11.4 Feet
Step-by-step explanation:
If it takes the sub 1 minute to go down 10% of 57 feet, then another minute will be another 10%. So 10% = 5.7 feet, and 10% + 10% = 11.4 feet.
2+1x1000000000000000000
Answer:
30000000000000000.. ....
Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?
Answer:
2.5
Step-by-step explanation:
Use the formula y2-y1 divided by x2-x1
Plug in the values: (7-2)/(6-4)
5/2
=2.5
Which only lists multiples of 16? O1,2,4, 8, 16 O 16, 24, 32, 40 O16, 32, 48, 64 O 1,2, 4, 8, 12, 16
Answer:
48 & 68
Step-by-step explanation:
if you multiply the numbers you will see that you get 48 & 68 multiple times