Craig should make approximately 36 shirts to maximize his earnings for the week.
How to find how many shirts to maximize his earnings for the week?
The maximum value of x for a quadratic equation, ax² + bx + c is given by the formula:
x (max) = -b/2a
Since the weekly income can be modeled by the function p(x)= −2x² + 145x.
In this case a = -2 and b = 145. Thus,
x (max) = -145/2(-2)
= 145/4
= 36.25
Thus, Craig should make approximately 36 shirts to maximize his earnings for the week
Learn more about model function on:
https://brainly.com/question/29458424
#SPJ1
Alycia has $10 to use for some new school supplies. She wants to buy a
binder for $2.79, a package of markers for $1.25 and 2 packs of ink pens for
$ 1.96 each. How much change should she get? *
Help this Due today.
Answer:
1/32
Step-by-step explanation:
A unit fraction is a fraction that has a numerator value of one
In a survey conducted among the people, 200 like to eat green vegetables, 200 like fruits and 100 like both of them. Using Veen-Diagram, find the number of people who like at least one of them.
Answer:
300 people.
Step-by-step explanation:
The number of people who like at least one of them is 300 people.
What is a Venn Diagram?A Venn diagram is defined as a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not.
Given data as :
In a survey conducted among the people
The number of people like to eat green vegetables = 200,
The number of people like fruits = 200 and
The number of people like both of them = 100
According to attached Venn-Diagram,
The number of people who like at least one of them = 100 + 100 + 100
The number of people who like at least one of them = 300
Hence, the number of people who like at least one of them is 300 people.
Learn more about Venn diagram here :
https://brainly.com/question/1605100
#SPJ2
The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variation, which equation represents this situation?
A.
l + h = k
B.
lh = k
C.
l = hk
D.
l = h + k
Answer:
C. l = hk
Step-by-step explanation:
the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h
The length of the shadow cast l represents by situation l = hk. Hence, option (C) is correct.
What is the linear relation of an equation?An equation has a linear relation if a variable from that equation varies linearly with the other variable.
for example, x is varied linearly with y then we can write
x ∝ y
x = yk where k will be the constant of variation.
Given that length, l is varies directly as the height h
Hence, l = hk will be the correct representation.
For more information about direct variation.
https://brainly.com/question/14254277
#SPJ5
what is : 27 X 1/100 = ?
Multiply
Answer/Step-by-step explanation:
\(27*\frac{1}{100}\)
= \(27*1=27\)
\(\frac{27}{100}\)
Decimal Form = .27
This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?
Answer:
v = l * w * h
v = 3/4 * 1/2 * 1/4 = 3/32 or 0.09375
The functions fand g are defined as follows.
f(x) = -3x² - 2
g(x) = -5x +4
Find f (4) and g(6).
Simplify your answers as much as possible.
f(4) = ___
g(6)=____
Answer:
f(4)=-50---g(6)=-26
Step-by-step explanation:
4^2=16
16 times -3=-48
-48-2=-50
6 times -5=-30
-30 plus 4=-26
jace's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. based on the line of best fit, how much time should someone study to expect a quiz score of 96?
according to the line of best fit, someone should study approximately 10.67 hours to expect a quiz score of 96.
Without knowing the equation of the line of best fit, it's difficult to give an exact answer. However, we can use the line of best fit to estimate the number of hours of study needed to expect a quiz score of 96.
Assuming the line of best fit is a linear regression model, we can use the equation:
y = mx + b
where y is the quiz score, x is the number of hours studied, m is the slope of the line, and b is the y-intercept.
If we know the values of m and b, we can substitute them into the equation and solve for x when y = 96.
So, if the equation of the line of best fit is y = 1.5x + 80, then:
96 = 1.5x + 80
16 = 1.5x
x = 10.67
To learn more about equation visit:
brainly.com/question/29657983
#SPJ11
find the midpoint between (1,2) and (11,12)
The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
We have to given that;
To find the midpoint between (1,2) and (11,12).
Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Now, By definition of midpoint, we get;
The midpoint between (1,2) and (11,12) is,
⇒ (1 + 11)/2, (2 + 12) / 2
⇒ (12/2, 14/2)
⇒ (6, 7)
Thus, The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ1
A military drone can fly at 5 miles per hour in calm conditions. For one flight, the drone flew 35 miles with the wind and 15 miles against the wind in the same amount of time. What was the wind speed for the flight
The wind speed for the flight is 2 miles per hour.
How to find the wind speed?Let's assume the wind speed is represented by "w" miles per hour.
When the drone flies with the wind, its effective speed is the sum of its own speed and the wind speed, so it travels at 5 + w miles per hour. Therefore, the time it takes to fly 35 miles with the wind is given by:
time = distance / speed
time = 35 / (5 + w)
Similarly, when the drone flies against the wind, its effective speed is the difference between its own speed and the wind speed, so it travels at 5 - w miles per hour. The time it takes to fly 15 miles against the wind is given by:
time = distance / speed
time = 15 / (5 - w)
Since the flight time is the same for both scenarios, we can set the two expressions for time equal to each other:
35 / (5 + w) = 15 / (5 - w)
Now, we can solve this equation to find the value of "w," the wind speed.
Cross-multiplying:
35(5 - w) = 15(5 + w)
175 - 35w = 75 + 15w
Combining like terms:
50w = 100
Dividing both sides by 50:
w = 2
Learn more about speed at:
https://brainly.com/question/4931057
#SPJ4
According to math modeling, what values cannot vary without consequence?
In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.
For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.
Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.
The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.
Visit to know more about Constant:-
brainly.com/question/27983400
#SPJ11
Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3
Answer:
3 miles
Step-by-step explanation:
6 total miles
3 miles done
6 (total) = 3 (done) + x (unknown)
x = 6 - 3
x = 3
3 miles left to hike
lincoln high school has an enrollment of 3150 students; desert mountain high school has an enrollment of 2475 students. lincoln high is projecting a decrease in enrollment at an average of 75 students per year. desert mountain is projecting an increase in enrollment of 60 students per year. at these projected rates, in how many years will the two schools have an equal number of students enrolled?
The two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).
The solution involves applying algebraic equation to find the unknown value.
The two high schools, Lincoln High School and Desert Mountain High School, have 3150 and 2475 students enrolled, respectively. Lincoln High School is estimating a decrease in enrollment at an average of 75 students per year. Meanwhile, Desert Mountain High School is expecting an increase of 60 students per year.
At these projected rates, the schools will have an equal number of students enrolled in 21 years.
To calculate the number of years that the two schools will have an equal number of students enrolled, you can use the formula:
L + 75x = D + 60x
Where L is the initial enrollment of Lincoln High School, D is the initial enrollment of Desert Mountain High School, and x is the number of years.
Substituting the given values, we get:
3150 + 75x = 2475 + 60x
Solving for x, we get:
15x = 675
x = 45
Therefore, the two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).
To know more about algebraic equation refer here:
https://brainly.com/question/29131718
#SPJ11
12-(3-5) to the 2 power divided by 10 divided by 5x2
Answer:
Step-by-step explanation:
let's start from the top
12-(3 - 5)^2
12 - ( 3-5)*(3-5)
12 - ( 9 - 30 +25)
remember! there's a negative sign that we must
multiply to the numbers inside the brackets
12 - 9 +30 - 25
3+30-25
8
the buttom
10/5.2
from the left side first
2*2 = 4
8/4 = 2 , and done!
what is the cardinary set of {1 2 3 4 5 6 7}
Answer:
n(A)=8 it is denoted and answer is 8
Step-by-step explanation:
Hope this helps
Brainliest pls ❤️
Bonjour,
Quelqu'un pourrait m’aider svp.
a-/ |-5-10| = 15 ; |-2√2-√12|=2√3+√12 ; |-π-4π|=5π
PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
Type your answer in the box.
Note: Type in only numeric part of the answer. Round your answer to the nearest hundredth.
Example: 12.70
Answer:
it says 15 points not 30
Step-by-step explanation:
Answer:
10.30
Step-by-step explanation:
Pythagorean Theorem is \(a^{2}\) + \(b^{2}\) = \(c^{2}\). The short leg(a) is 5 units long and the long leg(b) is 9 units long. CD is the hypotenuse, the longest side (c).
\(5^{2}\) +\(9^{2}\) =\(c^{2}\)
25+81=\(c^{2}\)
106=\(c^{2}\)
\(\sqrt{106}\) = \(\sqrt{c^{2} }\)
10.29563014 = c
Rounded to the nearest hundredth, 10.30
To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.
Six children named Alicia, David, Maria, Brian, Stephanie, and Ben has a different favorite subject. These subjects are math, science, social studies, reading, phyiscal education, and art. Which child enjoys which subject. Clues:1.) None of the girls like art best. 2.)Alicia enjoys playing soccer and softball. 3.)The child who likes social studies best and the child who likes science best are siblings. 4.)The name of the boy who likes art best comes after the names of the other two boys alphabetically. 5.)The next number in the sequence is the number of letters of the child who likes science the best.(25,21,17,13,) 6.) Maria is the only one who has to change clothes for his or her favorite subject. 7.)Ben and Alicia are "only" children. They have no siblings. 8.)Alicia asked whose favorite subject is math for help with her math problems.
We can conclude that Alicia likes Physical Education, David likes Social Studies, Maria likes Reading, Brian likes Science, Stephanie likes Math, and Ben likes Art.
1. None of the girls like art best. This rule eliminates Alicia, Maria, and Stephanie from liking art, leaving only the boys.
2. Alicia enjoys playing soccer and softball, which are sports typically associated with Physical Education.
3. The child who likes social studies best and the child who likes science best are siblings. Based on this, David must be the one who likes social studies since he cannot be a sibling of Maria, who likes reading. Brian must like science since he is David's sibling.
4. The name of the boy who likes art best comes after the names of the other two boys alphabetically. This rule eliminates Brian and David from liking art, leaving only Ben.
5. The next number in the sequence is the number of letters of the child who likes science the best. The sequence of numbers is 25, 21, 17, 13, which corresponds to the number of letters in the names of the children who like Physical Education, Social Studies, Reading, and Science, respectively.
6. Maria is the only one who has to change clothes for his or her favourite subject. This rules out Physical Education and Social Studies as Maria's favourite subject, since changing clothes isn't typically necessary.
7. Ben and Alicia are "only" children. They have no siblings. This rule confirms that David and Brian are siblings.
8. Alicia asked whose favourite subject is math for help with her math problems. This means that Stephanie must like math since nobody else does.
For such more questions on Math
https://brainly.com/question/1859113
#SPJ8
ote: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the system by elimination.
⎧
⎪
⎨
⎪
⎩
−
2
x
+
2
y
+
3
z
=
0
−
2
x
−
y
+
z
=
−
3
2
x
+
3
y
+
3
z
=
5
Answer:
Step-by-step explanation:
SIZZZZAAAAA
Solve for x:
(5x + 12) = 18
Answer:
x=6/5
Step-by-step explanation:
5x+12=18→ 5x=18-12
5x=6 divide
x=6/5
Answer:
x=6/5
Step-by-step explanation:
(5x+12)=18
5x+12=18
5x=18-12
5x=6
x=6/5
Life application on the equation of the circle
If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
learn more about percentage here :
https://brainly.com/question/24159063
#SPJ4
whats the answer to this question
Answer:
X and y answer is 45 degrees
Answer:
x = 20, y = 70 degrees.
Step-by-step explanation:
x + y = 90 degrees ( As the large triangle is right-angled).
Now x is the base angle of an isosceles triangle so the small angle that is part of the right angle = x. Call this angle z.
Consider the small triangle which includes 40 degrees:
y + 40 + 90 - z = 180 But as z = x:
y + 130 - x = 180
y - x = 50
Adding the equation to the highlighted equation above we have:
2y = 90 + 50
2y = 140
y = 70 degrees.
So x + 70 = 90
giving x = 20 degrees.
Taken perpendicular to the base, which of the following solids has a cross section that is a triangle?
A. triangular prism
B. rectangular pyramid
C. rectangular prism
D. cube
Answer:
b
Step-by-step explanation:
If the interest rate is 5 percent, the present value of $225 received at the end of five years is: o $176.29. o $132.62. o $121.34. o $156.71.
Answer:
The present value of $225 received at the end of five years with an interest rate of 5% is $176.29.
if p = 2^k + 1 is prime, show that every quadratic nonresidue of p is a primitive root of p.
Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.
In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.
Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.
A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).
Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.
Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).
Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.
By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.
Learn more about Euler's criterion here:
brainly.com/question/12977984
#SPJ11
A town is having an event where local restaurants showcase their best dishes. a party tent will be set up in the town square for this event. the entrance to this tent is to be 72 inches high. the residents of the town have heights that are approximately normally distributed with a mean of 67.8 inches and a standard deviation of 4.2 inches. based on the empirical rule, what is the probability that a resident will be too tall to enter the tent without bowing his or her head? express your answer as a decimal to the hundredths place.
There is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.
Based on the empirical rule, approximately 68% of the residents will have heights within one standard deviation (4.2 inches) of the mean (67.8 inches).
Therefore, the probability of a resident being too tall to enter the tent without bowing their head is approximately 32% (100% - 68%).
To express this probability as a decimal to the hundredths place, the answer is 0.32.
In conclusion, there is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.
To know more about probability visit:
brainly.com/question/31828911
#SPJ11
Will give brainiest to correct answer
3. BestBuy is offering 30% off all items. If x is the original purchase prices, select
ALL of the expressions which represent the final price with the discount
B. 0.7x
A 13x
C. X
D. X -0.3x
EX+ 0.3%
Answer:
B and D
Step-by-step explanation:
simple math :)
Answer:
B and D
Step-by-step explanation:
Just took the test
Please follow me
I need help with this
Answer:
Step-by-step explanation:
add up the total people in the survey
7 + 33 + 56 + 42 + 12 = 150
divide 12 by 150 = .08 or 8%
now multiply .08 * 100,000 = 8,000
so B looks like a good answer
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?
Answer:760
Step-by-step explanation:
Answer:
760
Step-by-step explanation: