Answer: y=-(3x-2)= -3x+2
The intercept with y is 2
The intercept with x is 2/3
student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer = 42.8
Step-by-step explanation:
All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
In a school there are 300 students 90 of them are male students. Find out the percentage of female students.
Answer:
70%
Step-by-step explanation:
Total students = 300
Male students = 90
Female students = 300 - 90 = 210
Percentage of female students
[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]
Answer:
70%
Key Points:
Total Students: 300Male Students: 90Unknowns:
Male Student PercentageFemale Student CountFemale Student PercentageWe are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.
300 overall students - 90 male students = ____ female students
Simplify.
Given our above equation, we now know that there are 210 female students at the school.
In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.
[tex]\frac{210}{300} = ?[/tex]
Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7
Now, you need to multiply it by 100 so that you can create a percentage.
0.7 × 100 = 70%
Therefore, 70% of the students are female.
Checking our work:
A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.
If 70% is the correct percentage for female students, the male and female percentages should add up to 100%
Finding the male percentage:
Similar to how we found the percentage of females at the school, we must divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.
[tex]\frac{90}{300} = ?[/tex]
Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3
Next, multiply your answer by 100 to get our percentage.
0.3 × 100 = 30%
Knowns:
Female Percentage: 70%Male Percentage: 30%Add the female percentage with the male percentage: 70% + 30% = 100%
As predicted, our answer was 100%. Therefore, 70% of the students are female.
Learn more about solving for percentages by reviewing these answers!
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Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?
Answer:
6.25%
Step-by-step explanation:
Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.
Mathematically,
Percent error = (correct value - measured value)/correct value * 100%
_________________________________________________
in the problem given
measured value = 75 degrees Celsius
correct value = 80 degrees Celsius ( as given in reference book)
thus,
Percent error = (80 - 75)/80 * 100%
Percent error = (5/80 )* 100% = 6.25%
Percent error calculated by him is 6.25%.
We will see that the percent error in Joshua's measure is:
Pe = 6.25%
How to get the percent error in a measure?
The percent error for a measure is computed as:
[tex]P_E = (\frac{A - M}{A})*100 \%[/tex]
Where A is the accepted value and M is the measured value.
Here we have:
A = 80°C
M = 70°C
Replacing that we get:
[tex]P_E = (\frac{80 \°C - 75 \°C}{80 \°C})*100 \% = 6.25 \%[/tex]
So we can conclude that the percent error is 6.25%
If you want to learn more about percent error, you can read:
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Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}
Answer:
A
Step-by-step explanation:
The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.
Which equation is equivalent to 2^4x = 8^x-3?
Answer:
x=-3
Step-by-step explanation:
2^4x = 8^x-3
writing 8 as 2^3
2^4x = 2^3^x-3
We know a^b^c = a^(b*c)
2^4x = 2^(2*(x-3))
2^4x = 2^(2x-6)
The bases are the same so the exponents are the same
4x = 2x-6
Subtract 2x from each side
4x-2x= 2x-6-2x
2x=- 6
Divide by 2
2x/2 = -6/2
x = -3
Given a segment with endpoint coordinates (0,4) and (-4,-3) find the
coordinates of the midpoint.
Enter the x-coordinate value here
Enter the y-coordinate value here
Answer:
(-2 , 1/2)
Step-by-step explanation:
x = -2
y = 1/2 or 0.5
Please help. i am being timed
Answer:
About 2.38 square feet of extra fabric: 1.25 of dark blue and 1.13 of light blue
Need $13.75 to complete template for white fabric
Step-by-step explanation:
Template requires 18 square feet of white, 20 square feet of light blue and 21 square feet of dark blue.
She has more than enough for both shades of blue fabric.
She needs 5.85 square feet more of white fabric
Since it is $2.35 per square feet of white fabric, 2.35 * 5.85 = $13.75.
It will cost her $13.75 for more white fabric
Hope this helps!
Can someone help me out on this question?
Answer:
They are similar, so 6/5 = 10/x.
You can do the rest yourself!
Object------------- Diameter (cm) ----- Circumference (cm)
Coin --------------------------- 3 ------------------------- 10
Flying disc -------------------23--------------------------- 28
Jar lid---------------------------- 8------------------------------25
Flower pot -----------------------15------------------------------47
Owen measured the diameter and circumference of four circles. Which one of his measurements is the least accurate?
Coin
Flying disc
Jar lid
Flower pot
Answer: Flying disc
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula for each object:
Circumference(C) = π x diameter
CoinDiameter = 3
Circumference (measured) = 10
C (calculated) = π x d = π x 3 = 9.42
10≅9.42
Flying discDiameter =23
Circumference (measured) = 28
C (calculated) = π x d = π x 23 = 72.25
72.25 ≠ 28
Not accurate
Jar lidDiameter =8
Circumference (measured) =25
C (calculated) = π x d = π x 8= 25.13
25 ≠ 25.13
Flower potDiameter =15
Circumference (measured)=47
C (calculated) = π x d = π x 15 = 47.12
47 ≠47.12
Feel free to ask for more if needed or if you did not understand something.
Answer:
Jar lid
Step-by-step explanation:
If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)
Need help with a question
Answer: -4 meters
Step-by-step explanation:
8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.
Answer:
-4
Explanation:
To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.
8 - 4
-4
Therefore, the change in depth was -4 meters.
Equation B: 3x+2x+6=6x-5 ( does that have one solution, no solution, or many solutions?) and explain why
It has one solution.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Can someone help me with these 2 questions?
Step-by-step explanation
The first answer is 7.85m²
the second answer would be 25.71m²
Riley and Francesca both commute to work. Riley's commute on the train
1
takes 12 minutes more than as many minutes as Francesca's commute
2
by car. It takes Riley 36 minutes to get to work. Write an equation to
determine how many minutes it takes Francesca to get to work.
36 =
X - 12
2
36 = 2x - 12
36 = 2x + 12
36 = -x + 12
URGENT!!! HELP
Gina has purchased 100 songs from the internet. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:
(Graph attached below)
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
Answer:
Initial value is 100
Step-by-step explanation:
A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)
100/5 = 20
since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20
Initial value is 100, which is the total number of songs they want
Answer:
Part A:
initial value = 100 (total amount of songs to download)
rate of change = -20 songs/week (100-80 and so on)
Part B:
y = -20x + 100
does anyone know this?
Answer:
The ? is 4x * (-2x) = -8x².
Answer:
-8x^2
Step-by-step explanation:
-2x*4x=-8x^2
that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring
hope this is the right answer
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
O "Look at the graph of the relationship Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Answer:
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
Step-by-step explanation:
When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.
Hope this helps!
2. A city council had a proposal for a new traffic light at an intersection that had a recent
accident. The council decided to take a poll of 284 randomly selected residents and asked if
they would support the construction. Of those polled, 219 stated that they would support the
new traffic light and 45 said they would not. Identify the problem with the study.
Answer:
A non-response occurred.
Step-by-step explanation:
The study is wrong because the number of people who participated in the pole is not equal to the number of people who support the pole and the number of people who does not support the pole.
What is Survey?A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
Given that the council decided to take a poll of 284 randomly selected residents.
Also, it is given that the 219 stated that they would support the new traffic light and 45 said they would not.
Now, for the pole to be true the number of people who support the pole and the number of people who does not support the pole should be equal to the number of people who participated in the pole.
Further, the total number of people who support the pole and the number of people who does not support the pole is,
Total number of people = 219 + 45 = 264
Since the number of people who participated in the pole is not equal to the number of people who support the pole and the number of people who does not support the pole. Therefore, the study is Wrong.
Learn more about Survey here:
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Which formula could be used to find the volume of a cube with side length equal to s?
s cubed
(6) (s squared)
s squared
(6) (s cubed)
QUESTION 4
Answer:
s cubed
Step-by-step explanation:
bc volume is length times width times height so it would be s times s times s which is s cubed
Answer: the awnser is a the guy on top or bottem is corect!!!!!!!!!!!!!!!
Step-by-step explanation:
STAY SAFE OUT THERE PLEASEI’m stuck between two answers and wanted to know what you guys think is right?
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.
y = x + b (you don't have to put 1x)
The line intersects the y-axis at 3
y = x + 3
I hope this helps :))
Answer:
y= -x+3
Step-by-step explanation:
looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3
A football is punted into the air. Its height h, in meters, after t seconds is given by the equation b) When will the ball reach a height of 30.4 meters?
Answer:
h = mt
Step-by-step explanation:
The function f(x) is shown in this graph please help because I can’t understand this concept
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
What is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
Since angle B is equal to angle C
AC = AB
3x-15 = x+33
Subtract x from each side
3x-15 -x=x+33-x
2x-15 = 33
Add 15 to each side
2x-15+15 = 33+15
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
We want BC = x
BC = 24
if you have 5 red shirts, 4 blue shirts and 7 green shirts how many apples do you have?
Answer:
About 4 oranges I think...
Multiply each equation by a constant that would help to eliminate the y terms. 2x-5y=-21 3x-3y=-18 What are the resulting equations?
Answer:
6x - 15y = -63
15x -15y = -90
Step-by-step explanation:
We need to multiply the two equations by a constant that will eliminate the y terms.
The two equations are:
2x - 5y = -21
3x - 3y = -18
Let us multiply the first by 3 and the second by 6. The resulting equations will be:
6x - 15y = -63
15x -15y = -90
Note: To solve the system of equations we can simply subtract the first from the second.
Which ordered pair is a solution to the system?
x>4
y≥2
A. (0, 0)
B. (–2, 7)
C. (5, 6)
D. (–4, –1)
Answer:
B
Step-by-step explanation:
Answer:
C. (5, 6)
Step-by-step explanation:
Got it correct on test :)))
PLZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Hakeem wants to be a professional basketball player. He is currently a junior and is taking physics. Mrs. Martin, his teacher, tells him that she can predict exactly when his three-point shot will return to the ground before Hakeem even takes the shot. Mrs. Martin tells Hakeem that the path of his ball can be modeled by the equation below, where t is the time in seconds after he throws the ball, and h is the height of the ball in feet. If Hakeem makes a three-point shot, how long will it take for his ball to return to the ground? (Round the time to the nearest second.)
A. The basketball will return to the ground 19 seconds after being shot.
B. The basketball will return to the ground 2 seconds after being shot.
C. The basketball will return to the ground -1 seconds after being shot.
D. The basketball will return to the ground 1 seconds after being shot.
Answer:
Answer is B
Step-by-step explanation:
C) -1 seconds is back into the past by 1 second, which makes it wrong
A) 19 seconds for a ball to be in the air? That's too long
D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.
Suppose that f is a sine function ... look at the picture
Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Select two possible values for x in the equation x2 = 45.
Answer:
3✓5 or -3✓5
Step-by-step explanation:
Taking the square root of both sides, we get
x = ±3✓5
Help anyone???? Please
Answer: A
Angle a = Angle b since they are vertical angles