Answer: Therefore the angle made by the line with y-axis is 30 degrees.
Step-by-step explanation:
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Explain the steps (in order) of how to write this function:
4(x + 5)2
f(x) =
3
1
2.
4.
Answer:
4x+20+2
4x+22
Step-by-step explanation:
4×x=4x then 4×5=20+2
The school store sells 4 pencils for $0.50. At this rate, what is the cost in dollars) of 10 pencils?
Answer:
1.25
Step-by-step explanation:
10/4=2.5
2.5*0.5
Answer:
4 pencils = $0.50, divide 0.50 by 4, 1 pencil is $0.125. multiply that by 10, and 10 pencils is $1.25
Step-by-step explanation:
Five years ago, Mark was twice as old as Max. In three years, Max's age will be 2/3 that of Mark. What is the sum of their ages now
Answer:
4years
Step-by-step explanation:
Let the present age of Mark be x
Let the present age of Max be y
Five years ago
Mark = x-5
Max = y - 5
If mark was twice as old as Max, then;
x - 5 = 2(y-5)
x-5 = 2y - 10
x-2y = -10+5
x - 2y = -5 ... 1
In three years,
mark = x+3
Max = y+3
Now if Max's age will be 2/3 that of Mark, then;
x+3 = 2/3(y+3)
3(x+3) = 2(y+3)
3x + 9 = 2y+6
3x-2y = -3 .... 2
Solve 1 and 2 simultaneously
x - 2y = -5 ... 1
3x-2y = -3 .... 2
From 1: x = -5 + 2y
Substitute into 2:
3(-5+2y) - 2y = -3
-15 + 6y - 2y = -3
-15 + 4y = -3
4y = -3 + 15
4y = 12
y = 3
Recall thet x = -5+2y
x = -5+2(3)
x = -5 + 6
x = 1
The sum of their ages will be x+y
x+y = 1+3
x+y = 4
Hence the sum of their ages now is 4years
a pack of 10 pair of socks cost 16.80. what is the cost for one pair of socks
Answer: $1.68 per pair of socks
Step-by-step explanation:
16.80- 10 = 1.68
What is the equation of a line that is parallel to 2x + 4y = 16 and passes through (4, -1)?
Answer:
y=-1/2x+1
Step-by-step explanation:
2x+4y=16
4y=-2x+16
y=-1/2x+4
y=mx+b, m=-1/2, x=4, y=-1
-1=(-1/2)(4)+b
-1=-2+b
1=b
y=-1/2x+1
Complete the equation.
12 X 4 =
X 2 X4 4
Answer: 6
Step-by-step explanation: Hope I helped give me a good review and a thanks please
HURRY THIS IS MY LAST THING FOR THIS ASSIGNMENT. Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (−0.5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to Maria about her misunderstanding and explain how to plot the point.
Answer: You can have halves of points, Just because I have 0 units and 1 units doesn't mean that I can't put a point in the middle of the two. You could put a point in the middle of a unit for 0 - 1 it would be 0.5. You would place it in the middle of the unit
Step-by-step explanation:
Germany, Italy, and Japan formed the Tripartite Pact in part because they:
Answer:
hoped to convince the United States to stay out of World War II
Explanation:
just took the quiz :)
Answer:
Wanted to support one another in conquering Europe and Asia
Step-by-step explanation:
MY DAD JUST GOT IN A CAR WREAK WHAT DO I DOOOOOOO!!!
Answer:
ask can you drive it?
Step-by-step explanation:
z
Glasses of water drank
12 134 12
2 212 134
1/2 1/2 13/4
17a. Make a line plot using data.
17b. Write a question using data.
Answer:
I didn't get the qs clearly.... And what they really asked us to do
[Calculus] particle at rest question. Show steps, please!
Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time t is modeled by:
[tex]x(t)=2t^3-21t^2+72t-53[/tex]
And we want to determine at which time(s) t is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to t, we acquire:
[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]
Differentiate. So, our velocity function is:
[tex]v(t)=6t^2-42t+72[/tex]
So, we will set the velocity to 0 and solve for t. Hence:
[tex]0=6t^2-42t+72[/tex]
We can divide both sides by 6:
[tex]0=t^2-7t+12[/tex]
Factoring yields:
[tex](t-3)(t-4)=0[/tex]
By the Zero Product Property:
[tex]t-3\text{ and } t-4=0[/tex]
Hence:
[tex]t=3\text{ and } t=4[/tex]
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
What is the slope of a perpendicular line through -y=-2x+8?
A) -1/2
B) -2
C) 2
D) 1/2
Answer:
c. 2
Step-by-step explanation:
-y=-2x+8
I hope this helps
please answer this question .
Answer:
Remember you have to find the coefficient between age
Step-by-step explanation:
mr downs bought a camera for 56$. this was 80% of the list price. what was the list price
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 5 thumb drives for $116. Lisa bought 2 notebooks and 3 thumb drives for $68. Find the cost of each notebook and each thumb drive.
Answer:NOTEBOOK= 4
THUMB DRIVE=20
Step-by-step explanation:
The cost of thumbdrive and notebook purchased are $20 and $4 respectively
Let :
Cost of Notebooks = n
Cost of Thumb drive = t
Troy :
4n + 5t = 116 - - - - (1)Lisa :
2n + 3t = 68 - - - - (2)Solving by elimination :
Multiply (1) by 2 and (2) by 4
8n + 10t = 232 - - - (3)8n + 12t = 272 - - - (4)Subtract (3) and (4)
-2t = - 40t = 40 ÷ 2 = 20From (1)
4n + 5(20) = 1164n + 100 = 1164n = 116 - 1004n = 16n = 16 ÷ 4 = 4Hence, cost of notebook is $4 and cost of thumbdrive is $20
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A bouncy ball is dropped such that the height of its first bounce is 6.25 feet and each
successive bounce is 80% of the previous bounce's height. What would be the height
of the 11th bounce of the ball?
Answer:
0.67 feet
Step-by-step explanation:
This question can be interpreted as find the 11th term of a geometry progression where a = 6.25 and r = 80%
So, we have:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]r - 80\% = 0.8[/tex]
[tex]n = 11[/tex]
So, we have:
[tex]T_{11} = 6.25 * 0.8^{11-1}[/tex]
[tex]T_{11} = 6.25 * 0.8^{10}[/tex]
[tex]T_{11} = 6.25 * 0.1073741824[/tex]
[tex]T_{11} = 0.67ft[/tex]
Hence, the height of rebound at the 11th time is approximately 0.67
Answer: 0.7
Step-by-step explanation:
22= 18x + 4 please help!!
Answer:
x=1
Step-by-step explanation:
22-18=4 18-18=/
18x1=18
22=18(1)+4
22-18(1)=4
Answer:
22=18x + 4
Step-by-step explanation:
collect like terms 22 and +4
+4 crosses equality sign and turns to -4
you get 22-4=18x
therefore 18x=18
cancel 18 in both sides x = 1
109 divided by 15 (SIMPLIFIED!)
Answer:
7 should be the answer. on the calculator I got 7.26 but you need the simplified answer
Find the number of outcomes in the complement of the given event. Out of 246 shoes in a department store, 198 are women's shoes.
Answer:
I suppose that the event here is selecting randomly a shoe.
We know that there are 246 shoes in the store, and 198 of them are women's shoes.
Then there are 246 - 198 = 48 shoes that are not women's shoes.
This means that if the event is something like "finding randomly a women's shoe"
The complement would be "selecting randomly a shoe which is not a women's shoe"
And there will be 48 outcomes that meet this condition.
Which of the following segments is a diameter of o
?
Answer:
BD
Because it is straight line segment that passes through center from one point in circumference to other
Write the equation of the line that passes through the point 2,-1 and has a slope of -3
Answer:
-3
Step-by-step explanation:
-3 is your answer
Write an equation of the line passing through the .1, eight and parallel to y=-3X +10
Answer:
y= -3x+11
Step-by-step explanation:
I am assuming ".1, eight" is (1,8)
y=-3x +10<--- the slope is -3 so plug into this equation: y-y1=m(x-x1)
y-8=-3(x-1)
y-8=-3x+3
7x + 10 = 6X + 4(-3+3X)
Step-by-step explanation:
7x+10=6x+4(-3+3x)
7x+10=6x-12+12x
7x-6x-12x=-12-10
-11x=-22
x=-22/-11
x=2
..sorry if the answer is wrong
a pool is draining at a rate of 5 gallons per minute. if there are 120 gallons in the pool how long will it take to empty the pool?
Answer:
24 minutes
Step-by-step explanation:
You must divide the total gallons by the rate of how many are draining.
This will give you the answer 24.
Answer:
24 minutes
Step-by-step explanation:
5 times 24=120
so since every 5 gallons it takes a minute it would be 24 min
Need help !! Due today
Answer: all my caculations are leading me to B
Answer:
I think its either C or D. Hope this helps, give brainliest if correct!
Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.
P
(
x
)
=
[
n
!
x
!
(
n
−
x
)
!
]
p
x
q
n
−
x
A.
12.4%
B.
24.7%
C.
32.1%
D.
62.3%
Answer: Your answer would be C) 32.1%
Step-by-step explanation:
With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)
Have a wonderful rest of your day!
What percentage of the shape is purple?
Write your answer using a percent sign (%).
(Please help!) almost done 3
Okay, we see that there are 10 pieces in the circle - thus, it is our denominator. Next, we see that 9 out of them are coloured in. Therefore, the fraction is 9/10. To express our answer as a percent, we need to divide 9 and 10 to get 0.9. Then, we multiply 0.9 by 100 to get 90%. As a result, your answer is 90%.
The percentage of the shape that is purple is approximately 90%.
To find the percentage of the shape that is purple, we need to calculate the proportion of purple pieces out of the total number of pieces and express it as a percentage.
Given that there are 10 pieces in total and 9 of them are colored in, we can calculate the percentage as follows:
Percentage of purple pieces = (Number of purple pieces / Total number of pieces) × 100
Percentage of purple pieces = (9 / 10) × 100
Percentage of purple pieces = 0.9 × 100
Percentage of purple pieces = 90%
Therefore, the percentage of the shape that is purple is approximately 90%.
Learn more about percentages here:
brainly.com/question/24159063
#SPJ2
Write the equation for the line that has the given slope and contains the given point.
slope = −2
passes through ( 3 , 1 )
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y and x in the equation represent the coordinate points (3,1)
so substituting,
y = -2x + b
1 = -2(3) + b
1 = -6 + b
b = 7
so the final equation is,
y = -2x + 7
Math problem please help
A student bake sale is selling baked goods. In total they sell 100 pieces of baking, Chocolate chip cookies sell for $0.50 and Muffins for $1.25. The total money earned from the bake sale came to 68.75. How many muffins did they sell?
Please show explanation
Will mark brainlist!
Step-by-step explanation:
Equations:
68.75 = 0.5c + 1.25m
c + m = 100
First, let's get rid of one of the variables. Let's start with the simplest equation first. Let's move a variable, so that only one variable is equal to the rest of the equation.
c + m = 100 to c = -m + 100
(it doesn't matter which variable)
Next, since we have what variable c is equal to, we will now incorporate it into our more complex equation.
68.75 = 0.5(-m + 100) + 1.25 m
Now, to get rid of the parentheses, and just have a regular addition equation with the only variable being m.
68.75 = -0.5m + 50 + 1.25m
Next, we need to make it so that there is only one version of the variables. Just combine the variables together so that the form one cohesive unit.
68.75 = 0.75m + 50
Now, we are going to do the same thing that we did in our first equation (with a mix of the last step we just did), but instead of variables, we are going to do it with the whole numbers instead, and converge them onto one side of the equal sign. Keep in mind that at this step in the process, the variable with it's cohesive unit should be isolated on one side of the equal sign and the other being taken up solely by whole numbers.
118.75 = 0.75m
Now, we just need to make the variable equal to 1 (or just m). So we must either multiply or divide. In this case we will be multiplying both sides by 0.75.
118.75 x 0.75 = 0.75m
So, after this step, you should have an answer of;
89.0625
However, you can't just sell a 0.0625% portion of something to somebody (especially muffins, like come on). Also, the amount of cookies and muffins must be equal to 100 and each variable is in whole numbers (usually).
*Always make sure that when you are done with a problem that you double check it. Usually, with equations like this, you just plug in the variables into the equations, and if they fit both equations, you've done well.
From this point forward, I'm leaving you to your own devices. It's 2:38 a.m. and I need to get up at 7:15. I hope this helps!
Please help ASAP!!!!!!!!!!!!!
Answer:
im horrible at this kinda stuff-but is it 18......? ive always been bad-so if im wrong-dont get mad-
Step-by-step explanation:
happy new year!