Answer:
y = -5/4x -4
Please help I’ve been desperate I will give brainliest
Answer:
102 degrees (problem #5)
Step-by-step explanation:
5. 78 = 1/2 ((360-x)-(x)) -->
156 = 360 - 2x -->
-204 = -2x -->
102 = x
Mr. Stewart used a gallon of vinegar to make 15 different color egg dipping containers. He used the same amount of vinegar in each container. How much vinegar in gallons was used in each egg dye container?
Answer:
0.067 gallons ( to 2 decimal places)
Step-by-step explanation:
First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:
total volume of vinegar = 1
number of egg dye containers = 15
if equal volume of vinegar was used in each container:
volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)
Write the standard form of the line that passes through the the given points. (3,1) and (-2,3)
Answer:
Step-by-step explanation:
(3-1)/(-2-3)= -2/5
y - 1 = -2/5(x-3)
y - 1 = -2/5x + 6/5
y - 5/5 = -2/5x + 6/5
y = -2/5x + 11/5
standard form is
5y = -2x + 11
2x + 5y = 11
A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does the container hold? (Just type the number in the box; round to the nearest tenth.)
Answer:
90
Step-by-step explanation:
If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:
Answer:
The correct option is;
[tex]\frac{1}{\pi }[/tex]
Step-by-step explanation:
Here we have that
[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]
Therefore, the probability that the needle will cut the line = 1/π.
How many solutions does this equation have?
6 − 2z = –2z − 1
Answer:
No solution
Step-by-step explanation:
6-2z+2z = -1
6 = -1
Factor the expression 2x4y – 18x2y3 completely.
A. 2x2y(x2 – 9y2)
B. 2x2y(x – 3y)(x + 3y)
C. 2x2y(x – 3y)2
D. 2x2y(x – 9y)(x + 2y)
Answer:
B
Step-by-step explanation:
[tex]2x^{4}y - 18x^{2}y^{3}[/tex]
Both sides have [tex]x^{2}[/tex]
[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]
Both sides have y
[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]
Both sides have 2
[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]
Rule : [tex]x^{2} - y^{2} = (x+y)(x -y)[/tex][tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]
[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]
Final:
[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]
Hope this helps ^-^
The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
What is Factorization?The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.
The given expression is 2x⁴y-18x²y³.
Factor the expression as follows:
2x⁴y-18x²y³
= 2x²y(x² - 9y²)
= 2x²y(x² - (3y)²)
= 2x²y(x + 3y)(x- 3y)
Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
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Simplify the expression. (2x5)4
2x20
16x20
16x9
2x625
Answer:
16 x^20
Step-by-step explanation:
(2x^5) ^4
We can separate this into
2^4 * x^5^4
We know that a^b^c = a^(b*c)
16 x^(5*4)
16 x^20
Answer:
The answer is b
Step-by-step explanation:
2x + 8y = 21 6x - 4y = 14
Step-by-step explanation:
{2x+8y=14
{216x-4y=14
{x+4y=7
{216x-4y=14
217x=21
x=3/31
2*3/31+8y=14
y=107/62
(x,y)=(3/31, 107/62)
2*3/31+8*107/62=216*3/31-4*107/62=14
14=14=14 since all of the equalities are true the order pair is the solution of the system (x,y)=(3/31, 107/62)
hope this helps :)
Find the area of the triangle
Answer:
32
Step-by-step explanation:
you add together the 2 and 6 which gets you 8 and since the formula for the area of a triangle is bass * height divided by 2 you would do 8 * 8 which is 64 and then you divide by 2 which is 32
I need help very urgent
Remember: volume=length x width x height
So i think its 15, 15, and neither of them have greater volume.
Lana's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of water in the bath tub. Lana doesn't know how many half gallons there are, but she knows that their bathtub can hold 12 gallons of water. How many drops can she put into the bath for her sister?
Answer:
Lana can put 24 drops of bubble bath for her sister
Step-by-step explanation:
If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.
If the bathtub can hold 12 gallons of water
There are 12÷1/2 gallon
=12×2/1
=24
It means there are 24 half gallons in the bathtub
If every half gallon of water requires a drop of the bubble bath
Then,
24 half gallons of water requires 24 drops of the bubble bath
how do u do this pls help me understand
Answer:
10.8
Step-by-step explanation:
5 times what gives 6? 5 times 1.2
So now you just do 9 times 1.2 which is 10.8
Answer:
10.8
Step-by-step explanation:
5*x=6
5*1.2=6
9*1.2=r
r=10.8
(7i)(3i) help please
Answer:
-21i
Step-by-step explanation:
[tex]i^{2}[/tex] = -1
7*3=21
21 x -1 = -21
Answer:
-21
Step-by-step explanation:
can someone please help me ill give a brainliest
Answer:
C
Step-by-step explanation:
-
Answer:
yes
Step-by-step explanation:
HELP PLEASE!!!!!
(20 POINTS)
You pick a card from a deck containing 5 cards and roll a 6-sided die. How many
outcomes are possible?
30
Step-by-step explanation:
there are 5 outcomes for each card, and 6 for the die. 5x6 is 30. I hope this helps!
Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?
Answer:
some Equivalent expressions to 3(6m)+m is;
18m+m
6(3m)+m
2(9m)+m
19m
Step-by-step explanation:
please help! I will mark as branliest if you help
Answer:
B.180°
Step-by-step explanation:
The sum of supplementary angles are always equal to 180, as you can see, the angles form a half circle which is 360/2. Hope this helps :)
Answer:
180
Step-by-step explanation:
Supplementary angles sum to 180 degrees
maya was asked whether the following equation is an identity (2x+3)(x+1) = 2(x+1)^2 + (x+1)
Answer:
Maya is correct.
Step-by-step explanation:
Khan Academy gave me the answer.
What is the error in the flow chart
there is no flow chart
Answer:
WHAT FLOWCHART?
Step-by-step explanation:
when nathan was 2 1/2 years old, he was 34 inches tall. the doctor told his mother that he will be two times and 4 inches taller than that when he is an adult. which of the following equation will give h, nathans height, as an adult
Answer 5 ft 4 in
Step-by-step explanation:
2 1/2 + 2 1/2=5 + 4 inches
Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.
_______________
| 60 | 105 | 80 | 125 |
| 140 | 95 | 65 | 170 |
----------------------------
please help i have asked this questions 3 times and people keep being like " sorry i need these." or " thx for the points!!!" so please help i don't understand this.
The mean absolute deviation of the data is 30.
Given data:
To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:
Calculate the mean (average) of the data set.
Find the absolute difference between each data point and the mean.
Calculate the mean of these absolute differences.
Given data set: 60, 105, 80, 125, 140, 95, 65, 170
Step 1:
Calculate the mean
Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8
Mean = 840 / 8
Mean = 105
Step 2:
Find the absolute difference between each data point and the mean
|60 - 105| = 45
|105 - 105| = 0
|80 - 105| = 25
|125 - 105| = 20
|140 - 105| = 35
|95 - 105| = 10
|65 - 105| = 40
|170 - 105| = 65
Step 3:
Calculate the mean of the absolute differences
MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8
MAD = 240 / 8
MAD = 30
The mean absolute deviation of the given data set is 30.
Interpretation:
The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.
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Complete the steps for solving 7 = –2x2 + 10x.
Factor out of the variable terms.
inside the parentheses and on the left side of the equation.
Write the perfect square trinomial as a binomial squared.
Divide both sides by –2.
Use the square root property of equality.
Add to both sides.
Answer:
x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2
Step-by-step explanation:
Let us solve by completing the square;
7 = - 2x^2 + 10x, ⇒ Switch sides,
- 2x^2 + 10x = 7, ⇒ Divide both sides by - 2,
x^2 - 5x = - 7 / 2, ⇒ Write the equation in the form x^2 + 2ax+ a^2, ( x + a )^2, solving for the value of a,
2ax = - 5x,
a = - 5x / 2x,
a = - 5 / 2, ⇒ Add a^2 ⇒ ( - 5 / 2 )^2 to either side of equation,
x^2 - 5x + ( - 5 / 2 )^2 = - 7 / 2 + ( - 5 / 2 )^2, ⇒ Simplify,
( x - 5 / 2 )^2 = 11 / 4,
| x - 5 / 2 | = √ ( 11 / 4 ), Solve for value( s ) of x,
Answer; x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2
The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
First, we need to rewrite the equation in standard form:
-2x² + 10x - 7 = 0
Next, we can factor out -2 from the variable terms:
-2(x² - 5x) - 7 = 0
To complete the square, we need to add and subtract the square of half the coefficient of x:
-2(x² - 5x + 25/4 - 25/4) - 7 = 0
Simplifying.
-2((x - 5/2)² - 25/4) - 7 = 0
Distributing the -2 and simplifying further:
-(x - 5/2)² + 25/2 - 7 = 0
Combining like terms:
-(x - 5/2)² + 11/2 = 0
Adding 11/2 to both sides:
-(x - 5/2)² = -11/2
Dividing both sides by -1:
(x - 5/2)² = 11/2
Taking the square root of both sides (remembering to consider both the positive and negative roots):
x - 5/2 = ± √(11/2)
Adding 5/2 to both sides:
x = 5/2 ± √(11/2)
Thus,
The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).
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There are ten dogs at the dog park on a busy Saturday. Two of them are Corgis. What is the probability that a randomly selected dog is a Corgi? Type your answer as a fraction in simplest form.
Answer: 1/5
Step-by-step explanation:
From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:
Probability (Corgi) = Number of Corgis/total number of dogs.
Probability (Corgi) = 2/10
= 1/5
Which of the following are compound events? Check all that apply.
A. drawing an ace and then a king from a deck of cards
B.drawing a red card from a deck of cards
C.rolling a 1 on a number cube and then tossing a coin and landing on tails
D.choosing a banana, then an apple, and then an orange from a fruit basket
E.choosing a dime from a piggy bank
Answer:
A, C and D
Step-by-step explanation:
In this question, we are asked to select which of the options is/are example(s) of compound event(s)
The easiest way to answer this is to have an idea of what we mean by a compound event. When we talk about a compound event, we are referring to an event that has more than one outcome. This is a direct contrast to a simple event where we have only one outcome. To find the probability of a compound event, we shall need to add up the probabilities of all the single events that lies there in
In answering this question, we shall be considering the options one after the other.
A. It is a compound event
This is because we are looking at more than one event happening
B. It is not a compound event
It is not a compound event as we have only one outcome
C. This is a compound event
We have more than one outcome here. In fact, we are dealing with more than one sample space here
D. It is a compound event
We are working on different simple events here
E. It is not a compound event
It is not because we are only focused on a particular type of outcome
Answer:
A, C, D
A: drawing an ace and then a king from a deck of cards
C: rolling a 1 on a number cube and then tossing a coin and landing on tails
D: choosing a banana, then an apple, and then an orange from a fruit basket
Step-by-step explanation:
just did it on edge 2020 hope it helps
:)
There are some biscuits on a plate. 1 4 of the biscuits are chocolate. The rest of the biscuits are plain. Write down the ratio of the number of chocolate biscuits to the number of plain biscuits. Give your ratio in its simplest form.
Answer:
1 : 3
Step-by-step explanation:
¼ of the biscuits are chocolate while the rest are plain.
Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:
1 - ¼ = ¾
Therefore, the ratio of chocolate biscuits to plain biscuits is:
¼ : ¾
To put this in simplest dorm, multiply both sides by 4, we have:
1 : 3
This is the ratio of chocolate biscuits to plain biscuits.
The ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is [tex]\mathbf{1:3}[/tex]
In probability, we know that the sum of all the outcomes is usually equal to one.
Given that:
The number of biscuits that are chocolate on the plate is = 1/4
The rest of the biscuits that are plain will be = 1 - 1/4
[tex]= \mathbf{\dfrac{3}{4}}[/tex]
Now, the ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is:
[tex]\mathbf{\dfrac{1}{4}:\dfrac{3}{4}}[/tex]
[tex]\mathbf{\dfrac{1}{4} \times \dfrac{4}{3}}[/tex]
= 1 : 3
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You start a chain email and send it to 3 friends. The process continues and each of your friends forward the email to 3 other people. What is an expression for the nth term an?
Answer:
[tex]a_{n}=3^{n}[/tex]
Step-by-step explanation:
We can start solving this problem by making a list of the number of chain emails that are sent on each round:
Round one:
[tex]a_{1}=3[/tex]
which represents the three friends you send the mail to.
Round two:
[tex]a_{2}=3*3=9[/tex]
since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.
Round three:
[tex]a_{3}=3*3*3=9*3=27[/tex]
on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:
[tex]a_{n}=3^{n}[/tex]
which is our final answer.
The total time T (in hours) needed to fly from New York to Los Angeles and back can be
modeled by the equation below, where d is the distance (in miles) each way, a is the average
speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream.
Simplify the equation. Then find the total time to the nearest minute it takes to fly 2468 miles
when a = 512 miles per hour and j = 103 miles per hour.
Answer:
complicated process just think and do the math If I was helpful pls be thnked
Step-by-step explanation:
what is the volume of this hemisphere? Exact answer in terms of π the radius is 48 m options 1) 9,216 π cubic meters 2) 18,432 π cubic meters 3) 28,938 π cubic meters 4) 57,876 π cubic meters
Answer:
Volume, [tex]V=73728\pi \ m^3[/tex]
Step-by-step explanation:
The formula for the volume of hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
r is radius of hemisphere, r = 48 m
[tex]V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3[/tex]
So, the volume of hemisphere is [tex]73728\pi \ m^3[/tex].
whats the answer for w^5+4w^4+10w^3+40w^2
Answer:
w^2*(w+4)*(w^2+10)
Step-by-step explanation:
w^5+4w^4+10w^3+40w^2
w^2*(w^3+4w^2+10w+40)\w^2*(w^2*(w+4)+10(w+4))
w^2*(w+4)*(w^2+10)
I'm assuming there's an =0 at the end of this?
You need to factor to get an answer, so:
[tex]w^5+4w^4+10w^3+40w^2=0\\w^4(w+4)+10w^2(w+4)=0\\(w^4+10w^2)(w+4)=0\\w^2(w^2+10)(w+4)=0\\w=0\\w^2+10=0\\w^2=-10\\w=\sqrt{-10}=10i\\ w+4=0\\w=-4\\w=0,10i,-4[/tex]
If your teacher doesn't want any imaginary numbers, then your answer would be limited to w=0 and 4. (exclude the 10i if you don't want imaginary numbers)