=4(xy−4)
B. xy+2xy-x3xy−x
=x(3y−1)
C. 2x²-18x+122x²−18x+12
=2(x²−9x+6)
D. 5xy+20x-9y-365xy+20x−9y−36
=(y+4)(5x−9)
What mistake did Lindsay make?
Answer:
Step-by-step explanation:
Discussion and Correction
The algrebra itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3
Answer: So the exclusions in the denominator should be modified to x = 3.
Answer:
The excluded values are x-values that make the denominator of the original expression zero, since [tex]\dfrac{a}{0}[/tex] is undefined.
[tex]x = -3[/tex] is not an excluded value since this x-value does not make the denominator zero.
[tex]x = -3[/tex] makes the numerator zero, but as [tex]\dfrac{0}{a}=0[/tex] it is not an excluded value.
Therefore, step 3 of her work should read:
[tex]\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3[/tex]
lara makes salad dressing by mixing 8
spoonfuls of oil and some vinegar. The tape
diagram shows the ratio of oil to vinegar.
Answer:
3:6
Step-by-step explanation:
8 ÷ 4 = 2
2 ÷ 1 = 2
6 ÷ 3 = 2
Answer:
1. 2:8
2. 1:4
3. 3:12
Step-by-step explanation:
There are 2 parts of oil for every one part of vinegar.
2+1=3
The ratio is made up of 3 total parts.
The part to whole ratio of oil to total is 2:1.
We are looking for an equivalent ratio that has 8 spoonfuls of oil.
If we have 4 times as much oil, we also need 4 times as much vinegar.
Also, we will have 4 times as much total dressing.
2x4=8
1x4=4
3x4=12
Find the surface area of the cylinder (please help)
Answer:
surface area we can also take it as total surface area
9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as
total surface area = csa of cylinder + area of base
we know that,
2pirh+pir²
pir(2h+r)
pir(2×5+9)
pir(10+9)
pir(19)
22/7×9×19
3762/7
=> 537.42 cm² is the answer.
2πr²+2πrh
Step-by-step explanation:
2/1*22/7*9/1*9/1+2*22/7*5/1*9/1
2*22*9+2*22*5*9
369+990
answer= 1359
You have 976 grams of a radioactive kind of rhodium. How much will be left after 120 seconds if its half-life is 30 seconds?
grams
there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, You have 976 grams of a radioactive kind of rhodium.
The formula for the amount of a substance remaining after a certain amount of time given its half-life is:
N = N₀ *[tex](1/2)^{t / t_{1/2} }[/tex]
where:
N₀ is the initial amount of the substance
N is the amount of the substance remaining after time t
t₁/₂ is the half-life of the substance
In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:
N = 976 * (1/2)⁽¹²⁰/³⁰⁾
N = 976 * (1/2)⁴
N = 976 * 0.0625
N ≈ 61
Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.
Learn more about exponential growth and decay here:
https://brainly.com/question/17161065
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PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The figure pictured below is made of a cylinder and a hemisphere. Its volume can be determined using the following formula, in which r is the radius and h is the height
of the cylinder. Determine the volume of the figure. Show your work
Answer:
395.64 m³
Step-by-step explanation:
Volume (figure)
Volume (hemisphere) + Volume (cylinder)2/3πr³ + πr²hπr² (2/3r + h)3.14 x 9 (2 + 12)3.14 x 9 x 143.14 x 126395.64 m³Answer:
The answer is 396m^3.
Step-by-step explanation:
The solution is in the attached file
What is the median of this data set?
{43, 42, 43, 37, 38, 36, 39}
Enter your answer in the box
Answer:
39
Step-by-step explanation:
1- Put your numbers in acending order
2- cross out the first number and the last number until you are in the middle number
3- the number is 39
Answer: 39
Step-by-step explanation: I took the quiz myself and that was the answer.
a. Multiplication Property of Equality
b. Division Property of Equality
c. Addition Property of Equality
d. Subtraction Property of Equality
1) the base of the rectangular prism is shaded what is the lateral surface area
ignore number 5
Answer:
the lateral surface area is11ftStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧A 9-pound bag of sugar is being spilt into containers that hold 2/3 of a pound. How many containers of sugar will the 9-pound bag fill?
in essence, how many times does 2/3 go into 9? well, is just a division, so
[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]
please help, thank you guys
Step-by-step explanation:
1) 165⁰
2) 180⁰
Note:FOR initial temperature check the temperature at t=0
I hope it helped you
What is the unit rate for headphones if eight headphones cost $390.92
Help me pls I need the unit rate too !
$48.865 per headphone
unit rate : total cost/total items
unit rate:
390.92/8
48.865
Each headphone costs $48.865
Yo I need to bring up my math grade bad so
find the perimeter of the triangle
5ft. 12ft. (that's all )
please show step by step
Answer:
Step-by-step explanation:
Triangle - 3 sides
Perimeter - Add
5ft + 12ft = 17ft
help me i dont really understand
Answer:
73
Step-by-step explanation:
12(6) + 1/4 • 2^2
Square the 2 first.
12(6) + 1/4 • 4
Then multiply from left to right.
72 + 1
Lastly, add.
73
The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.
What is the circumference in centimeters the circle is 24 centemeters in diamater
Answer:
75.398 cm to the nearest thousandth.
Step-by-step explanation:
Circumference = π * diemeter
= 24π
= 75.3982 cm
What is the measure of the missing angle?
Answer:
The missing angle = 113°
Step-by-step explanation:
Let the missing angle be x
Sum all angles in a triangle = 108°
34° + 33° + x° = 108°
x° = 108° - 34° - 33°
x° = 113°
!!PLEASE PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
Answer:
[tex]\tt x=113^o[/tex]
Step-by-step explanation:
We know that the sum of angles in a triangle is always 180°.
So the sum of the three angles must be 180°.The two angles you know measure 34° and 33°.
Now, let's write an equation and find the measure of the unknown angle:-
[tex]\tt 34^o+33^o+ x=180^o[/tex]
[tex]\tt 67^o+x=180^o[/tex]
[tex]\tt x=180^o-67^o[/tex]
[tex]\tt x=113^o[/tex]
Therefore, the measure of the missing angle is 113°.
Choose all expressions that are
equivalent
1 (y + x)
x+y
x-y
0 (y + x)
0 + (y + x)
Answer:
1 (y + x)
(x + y)
Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
choice B- no
Step-by-step explanation:
We have been given that Nate has 100 bananas. He will eat 2 of them every day.
Let x represent number of days. So bananas eaten in x days would be .
Total number of bananas, y, left after x days would be
We know that two proportional quantities are in form , where, k is constant of proportionality.
Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.
What is the mean of this data set? 3, 5, 10, 11, 15
Answer:
8.8.
Step-by-step explanation:
There are 5 values so:
mean = (3+5+10+11+15)/ 5
= 44/5
= 8.8.
How does graphing two sets of data on one graph help you see patterns?
Answer:
~Shoto todoroki here~
The Mathematical tables and graphs are a good way to represent patterns. It helps to organize data and can reveal the relationships, making it easier to write equations that describe the patterns.
(Hope this helps!)
Which graph represents y as a function of X?
A
B
C
D
Answer:
A
Step-by-step explanation:
Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.
Find the equation of the perpendicular bisector of line MN
Answer:
Y=(-1/2)x+9/2
Step-by-step explanation:
For straight lines y=mx+c
m=gradient
Find the gradient first-m=(y2-y1) /(x2-x1)
Take the points M and N and substitute in the equation
m=(5-2)/(-1-5)
m=-1/2
Gradient of line MN×gradient of perp line =-1
There fore gradient of perp line =2
Which expression is equal to:
4b + 4c / z
a. 4(b + c) / z
b. 4b(4c / z)
c. 8bc / z
d. (b + c) ● (4+z)
(marking brainliest)
4(b + c) / z
Reason:
We factor 4 from 4b+4c to get 4(b+c). The z in the denominator stays where it is. This factoring is possible because of the distributive property.
This is why [tex]\frac{4b+4c}{z}[/tex] is the same as [tex]\frac{4(b+c)}{z}[/tex]
Side note: you should use parenthesis to write (4b+4c)/z, which indicates all of 4b+4c is over top the z. This is because 4b+4c/z might get mistaken for [tex]4b+\frac{4c}{z}[/tex]
An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost
Answer:
1.25
Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25
Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
die?
A = the outcome is odd, B = the outcome is 3
A = the outcome is in {1,2,3,4}, B = the outcome is in {4,5,6)
A = the outcome is odd, B = the outcome is even
A = the outcome is less than 6, B = the outcome is more than 1
What number, when divided by 6, is equivalent to 15?
n=90
n=5/2
n=4
n=15
Answer:
90
Step-by-step explanation:
15+15=30
3x30=90
Therefore, the answer to what divided by 6 equals 15 is 90. You can prove this by taking 90 and dividing it by 6, and you will see that the answer is 15. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 15?", all you have to do is multiply the two known numbers together.
Therefore, n=90 is your correct answer
Which statement correctly describes the scatter plot?
Answer:
b
Step-by-step explanation:
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t
Find the theoretical and practical domains of the equation.
Select ALL correct answers.
Question 4 options:
The practical domain is all real numbers.
The theoretical domain is all real numbers.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.
The practical domain is all real numbers greater than or equal to one and less than or equal to two.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two. Then the correct option is C.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6.6t
Then the domain of the function d will be a real number.
But in the problem, the value of t is more than or equal to one but less than or equal to two.
1 ≤ t ≤ 2
More about the inequality link is given below.
https://brainly.com/question/19491153
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I need it quickly
which graph could represent the system of equations 4x+2y=8 and 3x-y=1?
Answer:
E
I use Desmos graphing to solve this
^● ●^
The cafeteria at San Isidro Elementary has 18 tables. Fourteen of the tables seat 14 students each and the rest of the tables seat 16 students each. What is the maximum number of students that can sit at the tables in the cafeteria at one time?
Answer:
You have to use the cafeteria-style formula where you multiply all the numbers
Step-by-step explanation:
First u multiply
18 by 14 and then by 16
What is true when a system of equations has no solution?
The lines intersect in one place.
The lines are parallel and do not intersect.
The lines coincide (are the same line).
This is impossible
Answer:
D. This is impossible
Step-by-step explanation:
In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.
Side note: If you have any further questions feel free to let me know.
Answer:
B. The lines are parallel and do not intersect.
Step-by-step explanation: