Answer:
The equation of the line would be y = 5x - 28
Step-by-step explanation:
First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.
y - y1 = m(x - x1)
y - 2 = 5(x - 6)
Then we must solve for y.
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
Geometry help needed, please?
Answer:
A quadrilateral has 4 right angles
Step-by-step explanation:
In a conditional statement
If hypothesis, then conclusion
OR
Conclusion, if hypothesis.
The hypothesis goes with the if part.
Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t . Write r as a percent.
Answer:
Option a:
a=79
b=1.002
r=0.2%
Step-by-step explanation:
Q = 79 (1.002)^t
Q = a b^t = a (1+r)^t
Comparing with the formulas:
a=79
b=1.002
1+r=1.002
Solving for r: Subtrating 1 both sides of the equation:
1+r-1 = 1.002 - 1
r = 0.002
Writting r as percent:
r = (0.002) 100%
r = 0.2%
The points ?( 21 21?, 24 24?) and ?( 49 49?, 56 56?) form a proportional relationship. Find the slope of the line through the points.
Answer:
80
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLEASE HELP ASAP WILL MARK BRAINLIST 10PTS
The population of a city is 35,400. The population is expected to grow at a rate of 2% each year.
Which function equation represents the population of the city after t years?
f(t)=35,400(1.02)t
f(t)=35,400(2)t
f(t)=35,400(0.02)t
f(t)=35,400(1.2)t
Answer:
f(t)=35,400(1.02)t
Step-by-step explanation:Exponential Growth Function:
y=b(1+r)^t
where:
b is the initial amountr is the rate of changet is timef(t) = 35,400(1 + 0.02)^t
f(t)=35,400(1.02)^t
Answer:
f(t)=35,400(1.02)t
Step-by-step explanation:
im taking the test i gotchu i just finished it and this was the correct answer
Cody wants to watch a new movie that is 3 hours long. He has watched 1/6 of the movie so far. What fraction of one hour did Cody spend watching the new movie? 5th grade math
A model for a company's revenue from selling a software package is R(p) = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
The price $_____ maximizes the revenue.
The maximum revenue is $_____.
Answer: p = $100, R = $25,000
Step-by-step explanation:
The maximum is the y-value of the Vertex.
Step 1: Use the Axis-Of-Symmetry (AOS) formula to find x: [tex]x=\dfrac{-b}{2a}[/tex]
R(p) = -2.5p² + 500p
a=-2.5 b=500
[tex]p=\dfrac{-(500)}{2(-2.5)}[/tex]
[tex]=\dfrac{-500}{-5}[/tex]
[tex]=100[/tex]
Step 2: Find the maximum by plugging the p-value (above) into the given equation.
R(100) = -2.5(100)² + 500(100)
= -25,000 + 50,000
= 25,000
The price that maximizes revenue for the software package is $100, and the maximum revenue attainable is $25,000 based on the given revenue function R(p).
To find the price that maximizes revenue and the maximum revenue itself, we can use the given revenue function R(p) = -2.5p² + 500p.
To find the price that maximizes revenue, we need to find the vertex of the quadratic function, as the vertex represents the maximum point. The formula for the x-coordinate (price in this case) of the vertex of a quadratic function in the form of ax² + bx + c is given by:
x_vertex = -b / (2a)
In our case, a = -2.5 and b = 500:
x_vertex = -500 / (2 * (-2.5))
x_vertex = -500 / (-5)
x_vertex = 100
So, the price that maximizes revenue is $100.
To find the maximum revenue, we need to substitute this price back into the revenue function:
R(100) = -2.5(100)² + 500(100)
R(100) = -2.5 * 10000 + 50000
R(100) = -25000 + 50000
R(100) = 25000
Therefore, the maximum revenue is $25,000.
So, the price that maximizes revenue is $100, and the maximum revenue is $25,000.
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please helppppppppppppppppppppppppppppppppp 11/12 - 7/9
11/12 - 7/9
=>taking L.C.M of the denominator
=>11/36 - 7/36
=>4/36
=>2/18=>1/9
Answer:
it is 5 36
heres why
Step-by-step explanation:
Here's how to subtract 7/9 from 11/12:
11
12
−
7
9
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 11 by 9, and get 99.
Then we multiply 7 by 12, and get 84.
Next we give both terms new denominators -- 12 × 9 = 108.
So now our fractions look like this:
99
108
−
84
108
Step 2
Since our denominators match, we can subtract the numerators.
99 − 84 = 15
So the answer is:
15
108
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
15
108
÷ 3 =
5
36
Let's try dividing by 3 again...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
No good. 7 is larger than 5. So we're done reducing.
There you have it! The final answer is:
11
12
−
7
9
=
5
36
Please see if u can help
will give BRAINLIEST***
Thanks!!
Problem 1
Answer: Choice A
Vertically stretching it by a factor of 2 is the same as compressing it horizontally by a factor of 2
====================================================
Problem 2
Answer: choice B
Add up the functions to get
M(s) + L(s) = (225+0.65s) + (54 + 1.15s)
M(s) + L(s) = (225+54) + (0.65s+1.15s)
M(s) + L(s) = 279 + 1.80s
Jim has 15 apples, Susie has 7 oranges, Greg has 3 strawberries, Michelle has 1 banana, Carrie has 5 limes, and Tim has 9 pineapples. If you were to add each individual number in AT&T's address together (2401 W. Grace Street), what would that total be? *
Answer:
We are given the following information:
The number of apples Jim has [tex]=15[/tex]
The number of oranges Susie has [tex]=7[/tex]
The number of strawberries Greg has [tex]=3[/tex]
The number of banana Michelle has [tex]=1[/tex]
The number of limes Carrie has [tex]=5[/tex]
The number of pineapples Tim has [tex]=9[/tex]
Therefore, the total would be the sum of the above numbers. Therefore, we have:
[tex]Total=15+7+3+1+5+9=40[/tex]
Hence, the total would be 40.
Julia's frogs are 2 5 of the number of Rimma's frogs. If Rimma gives 1 2 of her frogs to Julia, what will be the ratio of Julia's frogs to Rimma's frogs?
Answer:
The required ratio is: 9:5
Step-by-step explanation:
Let the number of frog's Rimma has be x
Then Julia's will be [tex]\frac{2x}{5}[/tex]
Now, Rimma give 1/2 of her frog to Julia means now, Rimma will have [tex]x-\frac{1}{2}[/tex] frog
Then Julia's frog will be [tex]\frac{2x}{5}+\frac{1}{2}[/tex]
Now, Rimma will have [tex]x-\frac{x}{2}=\frac{x}{2}[/tex]
And Julia will have [tex]\frac{2x}{5}+\frac{x}{2}=\frac{4x+5}{10}=\frac{9x}{10}[/tex]
Hence, the ratio of Julia's frog to Rimma's frog is [tex]\frac{\frac{9x}{10}}{\frac{x}{2}}[/tex]
[tex]Ratio=\frac{9x\cdot 2}{10\cdot x}[/tex]
[tex]\Rightarrow Ratio=\frac{9}{5}[/tex]
The required ratio is: 9:5
A rectangle has a perimeter 86 cm and length 36 cm what is its width
Answer: w = 7cm
Step-by-step explanation:
Perimeter = 2 x length + 2 x width = 2L + 2w
Width is 4 cm less than the length, so w = L-4
36 = 2L + 2(L-4)
36 = 2L + 2L - 8
36 = 4L - 8
44 = 4L
L = 11
w = 7
2(11) + 2(7) = 22 + 14 = 36
Length is 11, width is 7
Answer:
7cm
Step-by-step explanation:
36x2= 72
86-72= 14
14/2= 7
Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate boards for $5.25 per hour with a rental fee of $25. Rate of change
Answer: [tex]\bold{13\dfrac{1}{3}\ \text{hours}}[/tex]
Step-by-step explanation:
Parabola Skate Rental: 4.50x + 35
Arc Hawk Skate Rental: 5.25x + 25
If you want to know when their cost will be the same, set the equations equal to each other.
5.25x + 25 = 4.50x + 35
0.75x + 25 = 35 subtracted 4.50x from both sides
0.75x = 10 subtracted 25 from both sides
[tex]x=\dfrac{1000}{75}[/tex] divided both sides by 0.75
x = [tex]13\dfrac{1}{3}[/tex] simplified the fraction
describe the difference between parallel and perpendicular lines, their slopes and graphs
Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.
-------------------------------------------------------------------------------------
Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.
To provide a short definition,
Parallel lines are lines as the word suggests "parallel" which means they will stay side by side and never cross.
Perpendicular lines are lines that cross, usually to determine perpendicular lines you would take a slope and negatively reciprocate it.
Perpendicular:
1/2 -> -2
Parallel:
1x + 3
1x
Factor the trinomial below
4x^2+19x-5
A: x+5
B: 4x-1
C: 2x-5
D: x-5
E: 2x+1
Answer:
A: x+5
B: 4x-1
Step-by-step explanation:
4x^2+19x-5
(4x ) ( x )
We know that 1 will be positive and 1 will be negative.
Our choices for the numbers are 5 and 1
4*5 -1 = 19
(4 x - 1) (x + 5)
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
7. The two small triangles in the following are similar. Find the value of x to the nearest thousandth. (See attached image.)
A) x=32, y=25.6
B) x=12, y=15
C) x=9.6, y=12
D) x=15, y=12
E) None of the above.
what are the real and imaginary parts of the complex number? -11+3i
Answer:
-11 is real and 3i is
Step-by-step explanation:
i is a imaginary number is equals to rad(-1) which doesn't exist
The real part of the complex expression is - 11 and the imaginary part of the complex number will be 3i.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The complex number is given below.
⇒ - 11 + 3i
The term that has iota is known as imaginary part and the term that does not have iota is known as real part.
The real part of the complex expression is - 11 and the imaginary part of the complex number will be 3i.
More about the complex number link is given below.
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Kellan's lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cuos of water. Kellans uses 18 scoops of lemonade powder to make a batch of lemonade. How much water should he use?
Sweet T saved 20% of the total cost of the Green-Eyed Fleas new album let there be fleas on earth.If the regular price is $30,how much did sweet T save
Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of 500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where x represents time in seconds and y represents the speed in rotations per minute. The equation has been graphed as shown.
Assuming that the test was complete when the fan stopped spinning completely, how long was the test?
A. 100 seconds
B. 10 seconds
C. 20 seconds
D. 500 seconds
Answer:
C. 20 seconds
Step-by-step explanation:
We want to know when y=0.
We are finding the x intercepts.
The first y is when it started and the second y=0 is when it stops.
Looking at the graph y=0 at x=0 and y=0 at x=20
The fan started at time 0 and stopped at 20 seconds.
The difference is the length of the test.
20-0 = 20
20 seconds
Answer:
20 seconds
Step-by-step explanation:
Given :
[tex]y=-5x^2+100x[/tex]
Where x represents time in seconds and y represents the speed in rotations per minute.
To Find : Assuming that the test was complete when the fan stopped spinning completely, how long was the test?
Solution:
Since we are supposed to find how long will it take to stop the fan completely
We assumed that test was complete when the fan stopped spinning completely
i.e. y = Speed = 0
So, Substitute y = 0 in the equation [tex]y=-5x^2+100x[/tex]
⇒[tex]0=-5x^2+100x[/tex]
⇒[tex]5x^2=100x[/tex]
⇒[tex]5x=100[/tex]
⇒[tex]x=\frac{100}{5}[/tex]
⇒[tex]x=20[/tex]
Thus it took 20 seconds to stop the fan
Hence the test was 20 seconds long.
What are the zeros of the quadratic function? f(z)=3z^2−11z−4 Enter your answers, as simplified fractions if necessary, in the boxes.
Answer:
z=4 and z=-1/3 are the zero's
Step-by-step explanation:
To find the zeros of the quadratic function, we need to set it equal to zero.
f(z)=3z^2−11z−4
0 =3z^2−11z−4
Now we need to factor the function
0 = (z - 4) (3 z + 1)
Then using the zero product property set each factor to zero
0 = z-4 0 = 3z+1
Now solve
0+4 = z-4+4 0 -1 = 3z+1-1
4 =z -1 = 3z
-1/3 = 3z/3
-1/3 =z
Answer:
z=4 and z=-1/3
Step-by-step explanation:
Hanukkah is an eight day Jewish cele bration which is observed in November or December, as determined by the Hebrew calendar. One of the symbols of Hanukkah is the menorah, a candle holder which holds nine candles. According to thed code of Jewish law, menorah can be a maximum of 20 cubits high. A cubit Is a traditional measurement equal to 18 inches. In feet, what is the maximum height of a menorah, according to the code of Jewish law?
Answer:
30 feet
Step-by-step explanation:
Interesting question.
1 cubit = 18 inches20 cubits = x1/20 = 18/x Cross multiplyx = 20 * 18x = 360 inches.The maximum height is 360 inches.
1 foot = 12 inchesx feet = 360 inches Cross multiply12x = 360 * 112x/12 = 360/12x = 30The maximum height reached was 30 feet.
Matthew and his brother Shawn play pool basketball. Each basket was worth 3 points, Matthews scores 9 points, shawn scores 6 points. What's the total number of baskets made during this game
Answer:
Step-by-step explanation:9÷3=3 +6÷3=2 for a total of 5 baskets
Plz help....................
Look at the picture.
common part, then "and"
Answer: x ≥ -6 and x ≤ 56÷2(1+2)
I WILL GIVE 15 PTS TO CORRECT PERSON
Answer:
9
Step-by-step explanation:
Make sure to use PEMDAS.
[tex]6/2(1+2)\\\text{Simplify.}\\3(3)\\\text{Simplify.}\\9[/tex]
Jim wants to buy strawberries and raspberries for the company party. Strawberries cost $1.80 per pound and raspberries cost $1.95 per pound. If he only has $15 to spend on berries, which inequality represents the situation where he buys x pounds of strawberries and y pounds of raspberries?
A) 1.80x + 1.95y ≤ 15
B) 1.80x + 1.95y ≥ 15
C) 1.95x + 1.80y ≤ 15
D) 1.95x + 1.80y ≥ 15
Answer: The answer is A.
Step-by-step explanation: You cant go over the $15 limit and in answer A, the sign shows that 1.80x + 1.95y is less than or equal to 15.
the answer to this question is A
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED AN ANSWER ASAP!!!!!!!!!!!! 30 POINTS FOR ANSWER:
Use the constant of proportionality to write a unit rate for the data in the table.
(I the constant is 45, so answer the question plz)
Write an equation to represent the relationship between time, t, and distance, d.
1t+45d
i think. could be wrong.
Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 25 thumb drives and 200 key chains.
Let x represent the number of key chains. Let y represent the number of thumb drives.
Which inequalities are among the constraints for this situation?
Select each correct answer.
x+y≥50
x≥5y
x≤5y
x+5y≤50
y≤25
Answer:I Believe the Correct answers are:
x+5y ≤ 50
and
x+y≥50
Answer:
y ≤ 25
x ≥ 5y
x + y ≥ 50
Step-by-step explanation:
What is the place value of 5 in 5.36
Answer:
5
Step-by-step explanation:
the five is in the ones place so you count five ones and that equals 5
Good luck!
Answer:
ones
Step-by-step explanation:
look at the pic below
Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° latitude. If the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities. [Use π = 3.14, and round to the nearest mile.]
A) 628 miles
B) 725 miles
C) 786 miles
D) 841 miles
Step 1.
Calculate measure of angle α:
[tex]47^o-38^o=9^o[/tex]
Step 2.
Calculate what fraction of the angle 360° is the angle α:
[tex]\dfrac{9^o}{360^o}=\dfrac{1}{40}[/tex]
Step 3.
Calculate the circumference of the Earth (circle):
[tex]C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi[/tex]
Step 4.
The length of arc is equal 1/40 of the circumference:
[tex]\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi[/tex]
[tex]\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi[/tex]
The question uses geometry and the concept of arc length to ask the distance between Seattle and San Francisco on the Earth's surface. The distance between the two cities is calculated to be 628 miles.
Explanation:This is a mathematics problem using geometry, specifically related to the calculation of the arc length. The difference in latitudes between Seattle and San Francisco gives us the angle measurement on the sphere's surface. The difference is 47° - 38° = 9°. Since 9° is 1/40th of a full circle (360°), the arc is 1/40th of the total circumference.
So, to find the distance between the two cities, we calculate 1/40th of the circumference of the Earth (which is 2πr) by using the given radius of the Earth (4,000 miles). The calculation is 1/40 * 2 * 3.14 * 4000 = 628 miles. So, The distance between Seattle and San Francisco via the arc length on the sphere's surface is approximately 628 miles.
Therefore, the correct answer is A) 628 miles.
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ILL GIVE BRAINLIEST
what is the slope of the line that passes through the pair of points -6,8 2,3
a.-3/8
b.-8/1
c.-7/8
d.-5/8
Answer:
The answer is D
Step-by-step explanation:
Answer:
d. -5/8
Step-by-step explanation:
To find slope, use the following equation
slope (m) = (y₂ - y₁)/(x₂ - x₁)
First, set each coordinate. Let:
(x₁ , y₁) = (-6 , 8)
(x₂ , y₂) = (2 , 3)
Plug in the corresponding numbers for the corresponding variables.
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 8)/(2 - (-6))
Simplify. Note that two negative signs would result in a positive sign.
m = (3 - 8)/(2 + 6)
m = -5/8
d. -5/8 is your answer
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