Find the acute angle between the lines. 5x ? y = 2, 6x + y = 6
Answer:
Acute angle Ф = 20.77° (Approx)
Step-by-step explanation:
Given:
5x - y = 2
6x + y = 6
Find:
Acute angle
Computation:
5x - y = 2
6x + y = 6
So,
y = 5x - 2.....eq1
y = -6x + 6......eq2
Slop line y = mx + c
On comparison
m1 = 5 , m2 = -6
So,
TanФ = I(m1-m2)/(1+m1m2)I
TanФ = I(5+6)/(1-30)I
TanФ = 11/29
Ф = 20.77° (Approx)
Acute angle Ф = 20.77° (Approx)
shoprite has various brands of laundry detergent. which brand has the lowest price per ounce?
the substitution method.
y = -4x + 15
-4x + 7y = 9
Answer: {y,x} = {3,3}
Step-by-step explanation:
1] y=-4x+15
[2] -4x+7y=9
Equations Simplified or Rearranged :
[1] y + 4x = 15
[2] 7y - 4x = 9
Graphic Representation of the Equations :
4x + y = 15 -4x + 7y = 9
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = -4x + 15
// Plug this in for variable y in equation [2]
[2] 7•(-4x+15) - 4x = 9
[2] - 32x = -96
// Solve equation [2] for the variable x
[2] 32x = 96
[2] x = 3
// By now we know this much :
y = -4x+15
x = 3
// Use the x value to solve for y
y = -4(3)+15 = 3
Solution :
{y,x} = {3,3}
what are all of the ratios that are equivalent to 1/2
Answer:
there are infinte number of ratios that are equivaent to 1/2
Step-by-step explanation:
2/4, 3/6, 4/8, 5/10, 6/12 ...
Answer:
2/4, 3/6, 4/8, 5/10, 6/12
Step-by-step explanation:
Just multiply the denominator and numerator!!
For example:
1/2 =2/4
1x2=2
2x2=4
What is this? Please answer with an explanation
A bowl weighs 11/40 lb. Express this as a decimal. The denominator is 4. I need help with this pls.
Answer: 0.275
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
You subtract 11 from 4 and get 7 and then you divide 40 by 4 and get 10 hope that helps:)
The demand for tickets to an amusement park is given by p = 70 - 0.2q, where p is the price of a ticket in dollars and q is the number of people attending at that price.
a. What price generates an attendance of 3,000 people? What is the total revenue at that price? What is the total revenue if the price is $20?
b. Write the revenue function as a function of attendance, q, at the amusement park.
c. What attendance maximizes revenue?
d. What price should be charged to maximize revenue?
e. What is the maximum revenue? Can we determine the corresponding profit?
Answer:
Step-by-step explanation:
From the information given:
p = 70 - 0.02q
when:
q = 3000
p = 70 - 0.02 (3000)
p = 70 - 60
p = 10 dollars
The total revenue = price × number of people
= 10 × 3000
= 30000 dollars
If the price is $20
20 = 70 - 0.02q
0.02q = 70 - 20
0.02q = 50
q = 50/0.02
q = 2500
∴
If price is $20, The total revenue = 20 × 2500
= 50000 dollars
b)
The revenue function R = price × attendance
R = p × q
R = (70 - 0.02q)q
R = 70q - 0.02q²
c)
R(q) = 70q - 0.02q²
Taking the differential of the value on the right hand side.
R'(q) = 70 × (1) - 0.02 × (2q)
R'(q) = 70 - 0.04q
If we set R'(q) = 0
70 - 0.04q = 0
70 = 0.04q
q = 70/0.04
q = 1750 (critical point)
R"(q) = 0 - 0.04 × 1
R"(q) = -0.04
R"(1750) = -0.04 < 0
∴
R is maximum when q = 1750
d)
At q = 1750
p = 70 - 0.02(q)
p = 70 - 0.02(1750)
p = 70 - 35
p = 35 dollars
e)
R(q) = 70q - 0.02q² because R is max at q = 1750
R(1750) = 70 × 1750 - 0.02 × (1750)²
R_(max) = 122500 - 61250
R_(max) = 61250 dollars
Given that the actual price is 20 dollars when the price is changed to 35 dollars, we have a maximum revenue of:
Suppose:
p = 20 and q = 2500 (from a)
Then;
R = p × q
R = 20 × 2500
R = 50000 dollars
If R = 35, then q = 1750
R_{max} = 35 × 1750
R_{max} = 61250 dollars
∴
Profit = R_{max} - R
Profit = 61250 - 50000
Profit = 11250 dollars
5/4+5/4=_ × 1/4 plz help me
Answer:
10/4
Step-by-step explanation:
The neighbor sold 16 cake pops for $1.75 each. How much money did the neighbor collect?
Answer:
$28
Step-by-step explanation:
$1.75 x 16 = $28
Answer: 10.05
Step-by-step explanation:
One spring day, Caroline noted the time of day and the temperature, in degrees
Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the
next 3 hours, the temperature rose 2° per hour. For the next 6 hours, it rose 1° per
hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the
temperature dropped 1° per hour. The temperature then dropped steadily until the
temperature was 60° at midnight. On the set of axes below, graph Caroline's data.
Answer:
Please see attached graph
Step-by-step explanation:
In the attached image you will find the red dots hour per hour that reflect the temperature changes described in the text. The finer red line joins the points to give continuity to the graph.
Which expression is equal to 5+6+7+8+9?
The two data sets below show the approximate number of gallons of gasoline Josie and Olivia put into their cars the last 10 times they filled their gas tanks. A dot plot titled josie's Gasoline (gallons). The number line goes from 8 to 12. There are 2 dots above 8, 2 above 9, 6 above 10, and 0 above 11 and 12. A dot plot titled Olivia's Gasoline (gallons). The number line goes from 8 to 12. There are 0 dots above 8 and 9, 6 above 10, 3 above 11, and 1 above 12. Which measure of variability would most accurately compare the two data sets and why?
Answer:
c
Step-by-step explanation:
i got it right on edg 2020
Answer:
c
Step-by-step explanation:
What is 52114 divided by 47
Answer:
1108.808511
Step-by-step explanation:
Answer:11108.80
Step-by-step explanation:
Which will help your answer, "To what power must a student raise the number 5 to have an answer of 626"?
a. log625(5)=x
b. logx(5)=x
c. log5(x)=625
d. log5(625)=x
Answer:
D.
5^x=625
I hope it will be useful.
Answer:
The Answer us D
Step-by-step explanation:
log5(625)=x
x=4
I don’t knowwwwwwwwww helppp!!
Answer:
24 units squared
Step-by-step explanation:
the area of a parallelogram is its length times height
F(x)=2x^3-2x+1 relativeminimum
Step-by-step explanation:
F(x) = 2x³ - 3x + 1.
d/dx [2x³ - 3x + 1] = 6x² - 3.
Firstly, we wish to find the stationary points of F(x).
When 6x² - 3 = 0, x = -0.707 or x = 0.707.
Now we use Second Derivative test:
d/dx [6x² - 3] = 12x.
Since 12(-0.707) < 0, x = -0.707 is a relative maximum point.
Since 12(0.707) > 0, x = 0.707 is a relative minimum point.
Hence x = 0.707. To find the exact point you can substitute the value of x back into the equation 2x³ - 3x +1.
2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.
Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.
Step-by-step explanation:
Solve for .
2.
(100+30x)
30.rº
Answer:
x = 1[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As you can see, the two angles are supplementary as they lie on the same straight line so they should add up to 180°.
100 + 30x + 30x = 180
Evaluate like terms.
60x + 100 = 180
Isolate 60x.
60x = 180 - 100
= 80
Find x.
x = 80 ÷ 60
x = 1[tex]\frac{1}{3}[/tex]
Can someone help me
Answer:
1) The distance between points is: [tex]\sqrt{290}[/tex]
Option B is correct option.
2) The distance between points is: [tex]\sqrt{10}[/tex]
Option A is correct option.
Step-by-step explanation:
Find the distance between points
Question 1
(8,-5),(-3,8)
The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=8, y_1=-5,x_2=-3,y_2=8[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-3-8)^2+(8-(-5))^2}\\Distance=\sqrt{(-11)^2+(8+5)^2}\\Distance=\sqrt{(-11)^2+(13)^2}\\Distance=\sqrt{121+169}\\Distance=\sqrt{290}[/tex]
So, the distance between points is: [tex]\sqrt{290}[/tex]
Option B is correct option.
Question 2
(-1,6),(-4,-7)
The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=-1, y_1=6,x_2=-4,y_2=-7[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-1))^2+(-7+6)^2}\\Distance=\sqrt{(-4+1)^2+(-1)^2}\\Distance=\sqrt{(-3)^2+(-1)^2}\\Distance=\sqrt{9+1}\\Distance=\sqrt{10}[/tex]
So, the distance between points is: [tex]\sqrt{10}[/tex]
Option A is correct option.
for the figure shown below, find the value of the variable and the measure of the angles.
x is
measure angle P
measure angle Q
measure angle R
Answer:
All triangles has a total angle of 180. So x+38+2x+18+x=180
Solve for x: 4x+56=180 so 4x=124, x=31
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
y - (-1) = -3(x-10)
y+1= -3x+30
y= -3x+30-1
y= -3x+29
$1.50 is what fraction of $7.00?
21.4285714286%
or
4.66666667 i think
What is this? I don't know and I'm struggling bad please help
Answer:
steeper
Step-by-step explanation:
y = mx + c where m is the slope and c is the y-intercept.
The slope has been changed from 2 to 4. The higher the slope, the steeper it is. Thus, the slope is steeper now.
Answer:
i'm not sure sorry
Step-by-step explanation:
Florida ran 1.2 miles and Walked 4.8 laps
what is the greatest common factor of 4x²+2x
Answer:
2x
Step-by-step explanation:
Because both terms are divisible by 2x. So, that's the greatest common factor. Whichever term is the greatest and can divide both the numbers it the GFC.
1. Kilometers and inches are some units used to measure length. What are some other
units used to measure length?
2. Tablespoons and liters are some units used to measure volume. What are some
other units used to measure volume?
100 point please helppp
Answer:
length- inches, meters, millameters
Volume- gallon, quart, cups, teaspoons
Step-by-step explanation:
Answer:
ength- inches, meters, millameters
Volume- gallon, quart, cups, teaspoons
Step-by-step explanation:
hurry plz Im running out of time
what is 753 and 251 round to hundredth
15 points
Answer:I am pretty sure its 800
Step-by-step explanation:
Answer:
753 rounds to 753 because it is already rounded. 251 stays the same to because it cant round any further. I hope I have helped :)
pls help asap no trolls!
Answer:
b = 6
c = 9
Step-by-step explanation:
if triangles PQR and JHI are congruent, then (b + 48) must equal 9b
9b = b + 48
8b = 48
b = 6
if triangles PQR and JHI are congruent, then (c + 9) must equal 2c:
2c = c + 9
c = 9
Is 2.3 + (-2.4) positive number
Answer:
2.3 + (-2.4) = -.1
Step-by-step explanation:
adding a negative like this is the same 2.3 - 2.4 and subtracting 2.4 from 2.3.
show that (0.8a+0.4b)^2=(0.8a-0.4b)^2+1.28ab
please help me solve this asap
Step-by-step explanation:
first
(0.8a+0.4b)^2= (0.8a+0.4b) *(0.8a+0.4b)
=
0.64 a^2 + 0.32 ab +0.32ab + 0.16 b^2=
0.64 a^2 + 0.64ab + 0.16 b^2
second
(0.8a-0.4b)^2+1.28ab
= 0.64 a^2 - 0.64ab +0.16 b^2 + 1.28ab
= 0.64 a^2 + 0.64ab + 0.16 b^2
since the first (left parameters ) equals the second(right side parameters)
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