Solution :
Let, the equation on the line representing the given situation is :
y = mx + c
Here, m is the slope and c is the y-intercept .
Putting, ( 3, 2450 ) in above equation, we get :
2450 = m(3) + c
3m + c = 2450 ...1 )
Also, putting ( 7, 3050 ) in above equation, we get :
3050 = m(7) + c
7m + c = 3050 ...2)
Solving equation 1) and 2) , we get :
4m = 600
m = 150 and c = 2000
So, equation of line will be :
y = 150x + 2000
A.)
Putting, x = 11 in above equation, we get :
y = ( 150 × 11 ) + 2000
y = $3650
B)
4100 = 150x + 2000
150x = 1100
x = 7.33
Since, number of appliances sold cannot be in decimals.
So, x = 7
Hence, this is the required solution.
Talisa plans a 30-foot deep pond. While digging, she hits rock 25 feet down. How can Talisa modify
the radius to maintain the original volume of the pond?
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Answer:
multiply the radius by √1.2 ≈ 1.0954
Step-by-step explanation:
Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...
V = πr²h
In this application, we want the original and modified volumes to be the same.
πr²(30) = π(r')²(25)
(r')² = r²(30/25) = r²(6/5)
r' = r√(6/5)
The radius can be multiplied by √1.2 to maintain the original volume of the pond.
If the total area of a dartboard is 804 in2 and the area of the bull's-eye is 50in2, what is the probability that a dart that randomly hits the dartboard will hit the bull's-eye?
Answer:
6.2%, option A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
The desired area to hit is of 50 in², while the total area is of 804 in². Thus, the probability of hitting the bull's-eye is:
[tex]p = \frac{50}{804} = 0.062[/tex]
0.062*100% = 6.2%.
6.2%, option A.
How would you write the equation for it
$9.75 to $11.50= what percent change? Round to the earth tenth of a
percent
Answer:17.9 percent
It is less than 100 and greater than 10. You use a total of 10 base ten blocks to show this number. The number of ones block is greater than the number of ten blocks. One of the digits is 7.
Answer:
70
Step-by-step explanation:
Identify a possible measure of the reference angle sketched in standard position
300 degrees
60 degrees
-60 degrees
-300 degrees
Solve: x^2 – 16x + 63 < 0
Answer:
7 < x < 9
Step-by-step explanation:
x^2 – 16x + 63 < 0
this is a parabola that opens up.
The parabola will be < 0 for values between the roots.
to picture this see the graph below.
Factor
(x - 7)(x - 9) < 0
Roots
x = {7, 9}
solution
7 < x < 9
In 2010, the population of a city was 90,000. From 2010 to 2015, the population
grew by 8%. From 2015 to 2020, it fell by 6%. To the nearest 100 people, what was
the population in 2020?
Answer:
5800
Step-by-step explanation:
8% of 90,000 = 7,200
90,000 + 7,200 = 97,200
6% of 97,200 = 5832
Rounded to the nearest hundred: 5800
Hope this helps!!
Of all the students in a particular class, 20% have blue eyes. We want to run a
simulation to predict how many blue eye students will be chosen if we
randomly select 10 students. First, we need to assign digits to students that
have blue eyes and students that do not have blue eyes. If we were to use
single digits to represent both, which of the following would be a correct
method of assigning these digits?
Answer:A
Step-by-step explanation:
in a recent year 33% of the college students were enrolled part-time. if 7.9 million students were enrolled part-time that year what was the total number of the college students?
Answer:
23.9393939393 million
Step-by-step explanation:
I keep it as 7.9 instead of 7900000 to not deal with the zeros.
7.9x[tex]\frac{100}{33}[/tex]=23.9393939393
23.9393939393 answer in millions
use the graph to answer the questions.
1) Write in standard form
2) Identify the foci and asymptotes
3) find the domain and range
Answer:
Example: Locating a Hyperbola's Vertices and Foci
The hyperbola is centered at the origin, so the vertices serve as the y-intercepts of the graph. To find the vertices, set x=0 x = 0 , and solve for y y . Therefore, the vertices are located at (0,±7) ( 0 , ± 7 ) , and the foci are located at (0,9) ( 0 , 9 ) .
Step-by-step explanation:
Amelia spent $37.29 on 2 pairs of pants. How much would she pay for one pair? Round to the nearest penny.
Answer:
$18.65
Step-by-step explanation:
[tex]\frac{y }{37.29} :\frac{1}{2}[/tex]
y · 2 = 1 · 37.29
2y = 37.29
2y ÷ 2 = 37.29 ÷ 2
y = 18.645
18.645 round to 18.65
mark had 3/2 cans of paint and used 1/2 can for his room. what fraction of the paint did he use
Given:
Mark had [tex]\dfrac{3}{2}[/tex] cans of paint and used [tex]\dfrac{1}{2}[/tex] can for his room.
To find:
The fraction of the paint did he use.
Solution:
Total paint = [tex]\dfrac{3}{2}[/tex] cans
Paint used = [tex]\dfrac{1}{2}[/tex] can
The fraction of the paint did he use is:
[tex]\text{Required fraction}=\dfrac{\text{Paint used}}{\text{Total paint}}[/tex]
[tex]\text{Required fraction}=\dfrac{\dfrac{1}{2}}{\dfrac{3}{2}}[/tex]
[tex]\text{Required fraction}=\dfrac{1}{3}[/tex]
Therefore, Mark use [tex]\dfrac{1}{3}[/tex] of the paint.
A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport is 21 degrees. What is the distance between the plane and the airport, to the nearest tenth of a foot?
I'll give brainiest to correct answer!
Answer:
tan 21 = 17 000 / d
d = 17000/ tan21 = 44286.5 ft
factorize: 4x²-3y-6x+2xy
Answer:
The answer is (2x+y)(2x-3)
Step-by-step explanation:
I learned this on ixl, its kind of hard to explain.
Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between and .
Answer:
Here is the Matlab code.
Step-by-step explanation:
Matlab Code:
[tex]A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)[/tex]
[tex]d1 =- 5.5511e-17\\c = -0.7172 0.6643 -0.2103\\d2 = 1[/tex]
Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.
Which is the lowest rate? 8 cashiers for 96 people or 2 cashiers for 20 people
What is the length of s=8.57, n=300, confidence level=95%
Answer:
The length of the interval is of 1.8672.
Step-by-step explanation:
Length of a confidence interval:
Margin of error multiplied by 2.
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
s=8.57, n=300
[tex]\sigma = 8.25, n = 300[/tex]
Margin of error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{8.25}{\sqrt{300}}[/tex]
[tex]M = 0.9336[/tex]
Length:
2*0.9336 = 1.8672
The length of the interval is of 1.8672.
Activity 1
Instructions: Fill in the table with the missing information.
Experiment
Sample Space
Sample Point
Event
Dutcome
Number of
Possible
Outcome/s
3
Rolling a die
1,2,3,4,5,6
5
2, 4, 6
Getting an
even
number
Getting two
heads
1. Flipping two
coins
HH, HT, TH, TT
2. Choosing a
day in a
week
Choosing a
day that
starts with
letters
Choosing a
month that
ends with
letter R
3. Choosing a
month in a
coin and a
dle together
5. Letter in the
word
PENCIL
6. Numbers
from 1 to 10
P.E.N.C.IL
e,
Getting an
odd number
5
Plss Help Asap
How to write a solution to the equation x^2=5 using exponents and radicals
Answer:
x = sqrroot(5)
Step-by-step explanation:
The radical form of x²=5 is x= ±√5.
What is Radical form?The √ symbol that is used to denote square root or nth roots.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.
Radical notation is the usage of a root in an expression, such as the square or cube root.
For example, radical form is ∛3 = √27.
Given:
x²=5
Now, we have to write it in the radical form.
So, we can write
x= ±√5
Hence, the radical form of x²=5 is x= ±√5.
Learn more about radical form here:
https://brainly.com/question/27272065
#SPJ2
at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
David's wife sends him to the store to buy pickles and ice cream. Ice cream cost 3 dollars per pound and pickles costs 4 dollars per pound. David has 60 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that David purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is __________________
Answer:
3x+4y=60
Step-by-step explanation:
3x+4y=60
Find the angle measure show work too or I won’t get credit
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Answer:
96°
Step-by-step explanation:
The relevant relations are ...
the sum of arcs of a circle is 360°the measure of an inscribed angle is half the measure of the arc it intercepts__
The measure of arc HPQ is ...
arc HPQ = 360° -108° -60° = 192°
Then the measure of inscribed angle QRH is ...
∠QRH = (arc QPH)/2 = 192°/2
∠QRH = 96°
solve the following proportion for X (PICURE) (GIVING BRAINLEST TO CORRECT/BEST ANSWER) round to the nearest tenth.
Answer:
I just answer this
x = 4,235294118
Step-by-step explanation:
PLSSS HELP, I need to figure out the answer to this with showing work included.
Answer:
I hope this helps
Step-by-step explanation:
Suppose the probability of success in a binomial trial is 0.26. What is the
probability of failure?
A. 0.65
B. 0.35
C. 0.26
D. 0.74
Determine the y-intercept of the graph of this equation: y - 3 = 2(x + 5)
Answer:
y intercept is 13
Step-by-step explanation:
y - 3 = 2(x + 5)
To find the y intercept, let x=0 and solve for y
y - 3 = 2(0 + 5)
y - 3 = 2(5)
y -3 =10
y-3+3 = 10+3
y = 13
Rewrite 12%as a common fraction in a simple form
Answer:
3/25
Step-by-step explanation:
12% = [tex]\frac{12}{100}=\frac{4*3}{4*25}=\frac{3}{25}[/tex]
Convert percentage to fraction and then simplify
Answer:
3/25
Step-by-step explanation:
12% = 12/100 = 3/25 = 3/25
Which statement is true about angles 1 and 2?
Answer:
2ND one is correct because of the box between them
The theater sells two types of tickets:adult tickets for 8 and children tickets for 2. Last night ,the theater sold a total of 355 tickets for a total of 1964.how many adult tickets did the theater sell last night.
Answer:
sorry need pionts
Step-by-step explanation: