Answer:
Cross multiply
Step-by-step explanation:
Derive the equation of the line that goes through (−3, 1) and (0, −5).
A
y=−2x
B
y=2x−5
C
y= −2x−5
D
y=2x+5
Answer:
C) y = -2x - 5
Step-by-step explanation:
[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-1=-2(x-(-3))[/tex]
[tex]\sf \implies y=-2x-5[/tex]
Slope:-
m=-6/3=-2Equation in point slope form
y-1=-2(x+3)y-1=-2x-6y=-2x-5A 10 inch candle burns at a rate of 1.2 inches an hour. How many hours mess the candle burn until it is less than 1 inch tall
The part of the clock that is shaded is_______________________.
A) one-half hour
B) one-quarter hour
C) three-quarters hour
D) one-third hour
Answer:
b) one quarter hour
Step-by-step explanation:
every section is worth 5 minutes, there are three sections, which equals 15 minutes, 15 minutes is a one-quarter hour. hope this helps :)
Answer:
B
Step-by-step explanation:
it Is one quarter of an hour because they are exactly 15 minutes
what’s the lengths of the sides using pythagoras
Answer:
height and the base your take height you square it then you square the base then you -
can someone plssss help
manipulating algebraic fractions
Answer:
the answer is 5x divide by 12
Find the solution of the system of equations.
- 3x + 4y = 12
2.x + 2y = -22
Answer:
x = -8
y = -3
Step-by-step explanation:
So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.
You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44
Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.
Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.
2 · -8 = -16.
-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.
Hope this helps! :)
Find the volume of the cylinder. round to the nearest tenth.
Answer:
3217.00
Step-by-step explanation:
V=πr^2h=π·8^2·16≈3216.99088
Answer:
804.2 or 803.8
Step-by-step explanation:
volume = π · r2 · h
π · [tex]4^{2}[/tex] · 16 = 804.2
3.14 · [tex]4^{2}[/tex] · 16 = 803.8
Which of the following is not an exponential function?
Answer:
B. y = 5x-1
Step-by-step explanation:
B. y = 5x-1 is not an exponential function.
Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9
Answer:
Option C :- 7.5x + 8.1
Step-by-step explanation:
Let's simplify step-by-step.
4.5x+3.1−(−3x−5)
Distribute the Negative Sign:
=4.5x+3.1+−1(−3x−5)
=4.5x+3.1+−1(−3x)+(−1)(−5)
=4.5x+3.1+3x+5
Combine Like Terms:
=4.5x+3.1+3x+5
=(4.5x+3x)+(3.1+5)
=7.5x+8.1
Answer:
=7.5x+8.1
The amount of time it takes for water to flow down a drainage
pipe is inversely proportional to the square of the radius of the
pipe. If a pipe of radius 1 cm can empty a sink in 22 seconds,
find the radius of the pipe that would allow the sink to drain
completely in 14 seconds.
PLEASE ANSWER FAST!
Using the proportional relationship, it is found that the radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
If they are inverse proportional, the relationship is:
[tex]y = \frac{k}{x}[/tex]
In this problem, the amount of time is inversely proportional to the square of the radius of the pipe, hence:
[tex]t = \frac{k}{r^2}[/tex]
A pipe of radius 1 cm can empty a sink in 22 seconds, hence k = 22.
The radius for 14 seconds is:
[tex]t = \frac{k}{r^2}[/tex]
[tex]14 = \frac{22}{r^2}[/tex]
[tex]r^2 = \frac{22}{14}[/tex]
[tex]r = \sqrt{\frac{22}{14}}[/tex]
[tex]r = 1.25[/tex]
The radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
More can be learned about proportional relationships at https://brainly.com/question/25890103
In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011
Answer:
90 students
Step-by-step explanation:
So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.
Answer:
hello
2010 = 100 students
2011 = 100 x 0.9 = 90
2012 = 90 x 1.1 = 99
Step-by-step explanation:
261%57 PLEASE HELP (brainlyist) PLEASE HURRY
Answer:
4.57894737
Step-by-step explanation:
261 divided by 57 = 4.57894737
or 4.6 to 1 decimal place
If you need further explanation, let me know!
-profparis
Answer: 4.57894736842
what is the 100th term in the sequence a¹= 222 and d= -5
The 100th term of the sequence is -273
Arithmetic sequenceArithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference
first term a = 222
common difference, d = -5
nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d
T100 = a + ( 100 - 1 ) d
T100 = 222 + 99 * -5
T100 = -273
Read more on Arithmetic sequence here:
https://brainly.com/question/7882626
There are 132 sixth-grade students who play basketball, lacrosse, or tennis.
33 students play lacrosse
25% of students play tennis
How many students play basketball?
A 86
B 74
C 72
D 66
Answer:
66
Step-by-step explanation:
Lacrosse: 33
Tennis: 33
0.25 x 132 = 33
Basket ball:?
33 + 33 + b = 132
66 + b = 132
132 - 66 = 66
b = 66
Have a great day!
Please rate and mark brainliest!!
Answer:
D. 66
Step-by-step explanation:
Total number of students = 132
If 25% of 132 students play tennis:
⇒ 0.25 × 132 = 33
So 33 students play tennis
Number of students who play basketball is: total number of students minus students play tennis minus students play lacrosse:
= basketball = 132 - 33 - 33 = 66
find the percentage profit in each case cost price 500 selling price 550
Answer:
0.1 or 10%
Step-by-step explanation:
Cost: 500
Sell: 550
550-500 = 50
50/500 = 0.1 OR 10%
Therefore, the percentage profit for each sale is 10% of the original wholesale price.
Answer:
10%
Step-by-step explanation:
profit=buyingpirce _selling price
550_500=50
%profit=profit\buyingprice×100
50\500×100=10%
Please Help I Don't Understand. Thank You!
Answer:
140
Step-by-step explanation:
5t + 10 = 4t + 22
t + 10 = 22
t = 12
5(12) + 10 = 70
4(12)+ 22 = 70
70 + 70 = 140
CP + PK = CK
Edit:
I'm not sure if the solution is correct , but there is at least something.
Now
CK
CP+PK5t+10+4t+229t+329(12)+32108+32140
Each season a baseball pitcher records the number of strikeouts he throws. The sequence below
represents his strikeouts for the first five seasons in the league.
147, 154, 161, 168, 175 If this pattern continues, what explicit formula could be used to determine f(n), the number of
strikeouts he throws during his n th season?
a. f(n) = 147 + 7n
b. f) = 140 + 7)
c. f(n) = 147n + 7
d. f(n) = 140n + 7
Answer:
make the n in side and join together
Mr. Ramirez made 5 sandwiches. He cut each sandwich in half. How many half sandwiches does he have?
Answer:
10
Step-by-step explanation:
If you cut each sandwich in half and count how many halves there are, you are essentially multiplying it by 2. 5 times 2 is 10. Therefore, your answer is 10. Hope this helps:)
what is 2+2+1+3+4+6+8+1 and divided 10 + 4 +3+ 4=
Answer:
9/7
Step-by-step explanation:
2+2+1+3+4+6+8+1/10+4+3+4
Hope this helps!!!
PLEASE HELP ME!!! 30 points to the first person that can answer!
The area of a triangle is 225 square feet. The height of the triangle is half of its base. How many feet is the base?
Answer:
The base is equal to 30
And the Hight is equal to 15
Step-by-step explanation:
30 * 15 ÷2 = 225
what equation is the following graph
Answer:
y = -1/2x + 1
Step-by-step explanation:
We find slope using rise-over-run and by counting I got 1/2 but the slope is also negative. The y-intercept is 1 because the points are counting by 1/2 and the line goes through where half of 2 is on the y-axis. Hope this helps!
What is the range of this relation?
Answer:
{- 1, 0, 4 }
Step-by-step explanation:
the range is the y- coordinates of the plotted points
the coordinates of the points are
(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4
then range is { - 1, 0, 4 }
A mirror is in the shape of an isosceles right triangle and has a hypotenuse length of seven times the square root of two. What is the length of one of the legs?
square root of two.
3.5
seven times the square root of two.
7
The length of one of the legs of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.
What is an Isosceles triangle?Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.
The isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.
Therefore,
hypotenuse = 7(√2)
let the length of the other legs = x
Therefore, using Pythagoras theorem
c² = a² + b²
(7(√2))² = x² + x²
49 × 2 = 2x²
98 = 2x²
x² = 98 / 2
x = √49
x = 7 units
learn more on isosceles triangle here: https://brainly.com/question/10412877
A) fifteen twentieths
B) twelve fifths
C) fifteen fourths
D) eight halves
Hello !
_______
Answer :-C) Fifteen fourths.[tex]\huge {\boxed {\underline{Explanation :}}}[/tex]
[tex]\sf{5 \: x \: \frac{3}{4}[/tex]
_______
[tex]\sf{Apply \: the \: fraction \: rule :} \: a \: ^. \: \frac{b}{c} = \frac{a \: ^. \: b}{c}[/tex]
[tex]\sf{\frac{5x \: ^. \: 3}{4}[/tex]
_______
[tex]\sf{Multiply \: the \: numbers:} \: 5 \: ^. \: 3 = 15[/tex]
[tex]\sf{= \frac{15x}{x}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP THANKS
For the first question it's 52.99 cm^3 because the formula for volume of a cylinder is V=πr^2h.
The second question is 722.57 or 722 cm^2 because the formula for surface area is A=2πrh+2πr^2.
hope it helps!
Answer:
For question 3: 52.9875 cm^3 or 52.99 cm^3.
For question 4: 1,413 cm^3.
Step-by-step explanation: To find the volume of a cylinder, you need the area of the base times the height. We don't have the area of the base, but we can find out by using the formula 3.14 x r^2 where r is the radius, which is 1.5 for question 3 and 5 for question 4. It should look like this:
For question 3: 3.14 x 1.5^2 = 7.065.
For question 4: 3.14 x 5^2 = 78.5.
When you find the area of the base, you multiply it by the height, which is 7.5 for question 3 and 18 for question 4. It should look like this:
For question 3: 7.065 x 7.5 = 52.9875 or 52.99.
For question 4: 78.5 x 18 = 1,413.
Therefore, 52.9875 cm^3 or 52.99 cm^3 is your answer for question 3 and 1,413 cm^3 is your answer for question 4.
Let me know if this is right! :)
?.
7,000 dollars is placed in a savings account with an annual interest rate of 3%. If no
money is added or removed from the account, which equation represents how much
will be in the account after 7 years?
A. M= 7,000(0.03)
B. M= 7,000(1 + 0.03)(1 + 0.03)
C. M= 7,000(1 - 0,03)
D M= 7,000(1.03)
Total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
What is simple interest?
" Simple interest is a method of calculating interest on the amount of money deposited for fixed period on fixed rate of interest."
Formula used
[tex]Amount = P ( 1+ rt) \\P= Principal\\r= Rate of interest\\t= time period[/tex]
According to the question,
Given,
Principal 'P' = $7000
Rate of interest 'r'= 3%
Time period 't' = 7years
Substitute the value in the formula to get total amount with interest,
[tex]Amount = 7000 [ 1+ (\frac{3}{100} )(7)][/tex]
[tex]=7000[ 1+ (0.03)(7)]\\=7000(1.21)\\=8470 dollars[/tex]
Hence, the total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
Learn more about simple interest here
https://brainly.com/question/22621039
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A total of 275 people took a driving theory test on Monday. Of these people, 68% passed the test.
a) (i) What percentage of people who took the test on Monday did not pass the test?
(ii) How many of the 275 people who took the test on Monday passed the test?
Answer:
a. 32%
B.8B.88
Step-by-step explanation:
100 -68=32%
32/100=x/275
100x=8800
x=88
I don't understand this
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
Add x to both sides to get 2x - 1 = 3Add 1 to both sides to get 2x = 4Divide both sides by 2 to get x = 2Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
A square with side length s has an area of 324 square centimeters. This equation shows the area of the square ^{s^2}is 324
Answer:
s^2 = 324 would mean side length s = 18
Step-by-step explanation:
The square root of 324 would be 18.
A square with side length s has an area of 324 square centimeters. So, the side of the square is 18cm
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = [tex]side^2[/tex]
A square with side length s has an area of 324 square centimeters.
The area of a square = [tex]side^2[/tex]
then s = √324
=18
Thus, the side of the square is 18cm
Learn more about the area;
https://brainly.com/question/11952845
HELPP!! DUE TONIGHT!! I need answers for A, B, C, and D including the domains of each.
Answer:
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]
Step-by-step explanation:
Given function:
[tex]\sf f[g(x)]=\dfrac{-6+23}{7x-16}[/tex]
The domain will be values of x that do NOT make the denominator zero:
[tex]\sf \implies 7x-16=0[/tex]
[tex]\sf \implies 7x=16[/tex]
[tex]\sf \implies x=\dfrac{16}{7}[/tex]
Therefore, the domain is [tex]\sf x\neq \dfrac{16}{7}[/tex] so
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]