A parabola whose equation is y = (x - 5) 2 - 2 has a vertex at _____.
Answer:
The vertex would be at (5,-2).
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use
Answer:
15x20/300
Step-by-step explanation:
you multiply 15 and 20 then didvide that answer to 300
These are the points (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.
Let ;
The hour spent in mow lawns is represent by x,
And represent the hour spent for gardening by y.
According to the question;
He charges $15 per hour to work mow lawns .
And $20 per hour to gardening .
Total no. of hours allowed to work = 20 hours per week
Then the inequality to represent the cost constraint will be,
15x+20y ≥ 300
Since,
He cannot work for more than 15 hours per week, the inequality to represent the time constraint will be,
x + y ≤ 20
On solving the inequalities,
15(20-y) + 20y = 300
300 - 15y + 20y = 300
5y= 0
y = 0
For value of x put y = 0
x + 0 = 20
It states if he work only in mows law for 20 hours he can earn $15 =(15)(20) =$300
All pairs of positive numbers whose sum is less than 20, are solutions to the given system of inequalities.
A pair of negative numbers will also solve both constraints, but is not applicable in this situation because a student, cannot work for negative hours, or for a negative amount of money.
So, (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.
For more information about system of inequalities click the link given below.
https://brainly.in/question/32858820
Which one is greater less than and or equal to?
Answer:
a greater than
b equal to
C equal to
d greater than
what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald’s, at least 40 can taste the difference between the two oils? (2.5 pts.)
Complete Question
In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)
Answer:
The probability is [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = \frac{3}{100} = 0.03[/tex]
The sample size is n = 1000
Generally the mean of this sampling distribution is [tex]\mu_{x} = 0.03[/tex]
Generally the standard deviation of this sapling distribution is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{p (1 - p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }[/tex]
=> [tex]\sigma = 0.0054[/tex]
Generally the sample proportion when the number of those that can taste the difference is 40 is mathematically represented as
[tex]\^ p = \frac{40}{1000} = 0.04[/tex]
Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( [tex]\^ p = 0.04[/tex]) can taste the difference between the two oils is mathematically represented as
[tex]P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )[/tex]
Here
[tex]P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )[/tex]
[tex]\frac{\^ p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
=> [tex]P(\^ p < 0.04 ) = P(Z < 1.85 )[/tex]
From the z table the probability of (Z < 1.85 ) is
[tex]P(Z < 1.85 ) = 0.96784[/tex]
So
[tex]P(\^ p < 0.04 ) = 0.96784[/tex]
So
[tex]P(\^ p \ge 0.04 ) = 1 - 0.96784[/tex]
=> [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]
Answer this to get brainliest
Goodluck!! (●'◡'●)
People come visit me but rarely stay long. I can be clean but am often very dirty. People usually reveal to me a part of them that they rarely show others. What am I?
Answer:
private part
Step-by-step explanation:
Using the diagram to find the value of x.
Answer:
x i a 90 degree anglt
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Sum of all angles = 360°
85° + x + 35° + 2x = 360°
3x + 120° = 360°
3x = 360° - 120°
3x = 240°
x = 80°
Enter the ordered pair for the point.
Answer:
4,-4
Step-by-step explanation:
cuz
A man earned wages of $36,300, received $2200 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. He was entitled to a personal exemption of $4050 and a standard deduction of S6300. The interest on his home mortgage was $7800, he contributed $2900 to charity, and he paid $1750 in
state taxes. Find his gross income, adjusted gross income, and taxable income Base the taxable income on the greater of a standard deduction or an itemized
deduction
Answer:
Gross income = $38500
Adjusted gross income = $35800
Taxable income = $13000
Step-by-step explanation:
1. Gross income = wages + interest received
Gross income = $36,300 + $2200
Gross income = $38500
2. Adjusted gross income = Gross income - adjustments
Adjusted gross income = $38500 - $2700
Adjusted gross income = $35800
3. Taxable income = adjusted income - (exemption + deductions)
Taxable income = $35800 - ($4050 + $6300 + $7800 + $2900 + $1750)
Taxable income = $35800 - $22800
Taxable income = $13000
The cost of a monthly cell phone plan is represented by the expression 0.35m+55, where mis
the number of text messages sent.
What could the 55 represent?
105. A circular sector has an 8.26-inch radius and a 12.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements
Answer:
Area of another sector=[tex]53.0292 in^2[/tex]
Perimeter of another sector=29.36 in
Step-by-step explanation:
We are given that
Radius, r=8.26 in
Arc length , l=12.84 in
Area of circular sector=[tex]\frac{arc\;length} {Circumference\;of\;circle}\times \pi r^2[/tex]
Area of circular sector=[tex]\frac{l}{2\pi r}\times \pi r^2=\frac{l}{2}\times r[/tex]
Where Circumference of circle=[tex]2\pi r[/tex]
Substitute the values
Area of circular sector=[tex]\frac{12.84}{2}\times (8.26}[/tex]
Area of circular sector=[tex]53.0292 in^2[/tex]
Area of another sector=[tex]53.0292 in^2[/tex]
Perimeter of circular sector=8.26+8.26+12.84
Perimeter of circular sector=29.36 in
Perimeter of another sector=29.36 in
As the radius of a sector decreases, the arc length increases to have an
equal area with a sector with a radius that is longer.
The measurements of another sector with the same perimeter and area are;
The radius of an alternative sector is 6.42 inchesThe arc length of an alternative sector is 16.52 inchesReasons:
Radius of the sector, r = 8.26 inches
Arc length of the sector = 12.84 inches
Perimeter of sector = 2·r + Arc length
Perimeter of the given sector = 2 × 8.26 inch + 12.84 inch = 29.36 inch
Circumference of the circle = 2 × 8.26 × π = 16.52·π
Area of the given circle, A = π × 8.26² = 68.2276·π
[tex]\displaystyle Area \ of \ sector = \frac{12.84}{16.52 \cdot \pi} \times 68.2276 \cdot \pi = 53.0292[/tex]Area of the sector, A = 53.0292 inch²
Therefore, we have;
2·R + A = 29.36 inches
[tex]\displaystyle \mathbf{\frac{A}{2\cdot \pi \cdot R} \times \pi \cdot R^2} = 53.0292[/tex]
A·R = 53.0292 × 2
[tex]\displaystyle New \ arc \ length, \ A = \mathbf{\frac{53.0292 \times 2}{R}}[/tex]
Which gives;
[tex]\displaystyle 2 \cdot R + \frac{53.0292 \times 2}{R} = 29.36[/tex]
[tex]\displaystyle R + \frac{53.0292 }{R} = 14.68[/tex]
R² + 53.0292 = 14.68·R
R² - 14.68·R + 53.0292 = 0
Factorizing with a graphing calculator, gives;
(R - 6.42)·(R - 8.26) = 0
R = 6.42 or R = 8.26
The measurement of R = 8.26 is for the first sector
Given that the sectors are different, we have;
The radius of the other sector, R = 6.42 inchesThe arc length, A = 29.36 - 2·R
∴ A = 29.36 - 2 × 6.42 = 16.52
The arc length of the other sector, A = 16.52 inchesLearn more about the sector of a circle here:
https://brainly.com/question/2501134
A system of linear equations is given by these equations 3y-2x=9 and y=-2x+5
Answer:
It would be (3/4,7/2).
A city currently has 137 streetlights. As part of a urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks.How many streetlights will the city have at the end of 32 weeks?
Answer:
The city will have 201 streetlights at the end of 32 weeks
Step-by-step explanation:
Here, we want to know the number of streetlights that the city will have at the end of 32 weeks
From the question, it is expected that 2 additional streetlights will be installed at the end of each week
So the number installed at the end of 32 weeks will be 32 * 2 = 64
So the number of streetlights at the end of 32 weeks will be;
64 + 137 = 201 streetlights
PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
+ and -
Step-by-step explanation:
+ positive
- negative
A point has a positive x-coordinate and a positive y-coordinate. Which coordinate is it in?
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4
Answer: A. Quadrant 1
Step-by-step explanation: Quadrant 1 is for if both x and y values are positive.
Answer:
B quadrant 2
Step-by-step explanation:
Not sure though
Please help with this question I’m confused
Answer:
D) X=4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
[tex]13x - 5x = 8x[/tex]
[tex]8x = 32[/tex]
[tex]x = 32 \div 8[/tex]
[tex]x = 4[/tex]
The sum of two integers is 9. Their difference is 5.
What are the two integers?
A 7 and 12
B-7 and 16
C -12 and -7
D 2 and 7
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The correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Look :
[tex]7 + 2 = 9[/tex]
[tex]7 - 2 = 5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the reciprocal:
5
6
StartFraction 1 Over 6 EndFraction
StartFraction 1 Over 5 EndFraction
StartFraction 5 Over 6 EndFraction
StartFraction 6 Over 5 EndFraction
Answer:
The answer is 6/5 ^.^
Step-by-step explanation:
I got it right =^.^=
Hope this helps you =^.^=
i need the answer to this question: 5/2k-2
Answer:
5= 2k-2
5+2= 2k
7/2 =k
. k = 3.5
What is the name for the smallest multiple that two whole numbers share?
A
greatest common factor
B.
infinite multiple
с
least common multiple
D
prime factor
Answer:
C. least common multiple
Solve for x:
6 + x = 6(1 + 7x)
what is 2/3 divided by 1/2?
Answer:
4/3
Step-by-step explanation
When dividing fractions you flip the secod fraction then multipy.
Hope this helps :)
Describe how to model two digit by two digit multiplication using an area model
Answer:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 Multi-Digit Whole Number and Decimal Fraction Operations.
Step-by-step explanation:
can i have brainliest plz :)
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
Answer:
there is no slope
Step-by-step explanation:
there is no graph or points sooooooo
help quickly pls its due soon
2y+1<7 answer that question
Answer:
y < 3
Step-by-step explanation:
2y + 1 < 7
~Subtract 1 to both sides
2y < 6
~Divide 2 to both sides
y < 3
Best of Luck!
Please help! I’m terrible at math. You have a box that is 2 by 3 by 5. How many cubes does it hold? How do I figure out the answer?
Answer:
38 cubes
Step-by-step explanation:
The volume is calculated by multiplying the length x width x height. So the volume of this box is 30 cm3.
Assuming the cube is 1 x 1 x 1 (volume= 1cm3), then 30 cubes would be able to fit into the box. (30/1 = 30)
However, if the cube is 2x2x2, it would be able to fit 8 cubes.
Solve for the value of k.
(8k+1)°
49°
HELP FOR THE TRUE/FALSE
Answer:
True, eating cooked vegetables provides more nutrients than eating raw vegetables.
Answer:
1. false 2.true 3. true 4.true 5.true
Step-by-step explanation:
Select the correct answer.
Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?
A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour
Answer:
B.
Explanation:
If you divide 680 by 8 you can get 80 miles/hour
Hope this helps ;)
Answer:
Answer : C
Step-by-step explanation: If u divide 680 by 8 you will get 85 miles per hour if u don't believe me look it up
hope it help :)
please help me with this math
