1. F(x) represents the total cost function for renting a Popcorn machine.
2. The 40 in the equation represents the Fixed Cost per day of the rental.
3. The 0.15 represents the variable cost per hour.
4. The x represents the number of hours the machine is rented.
What is a function?A function is a mathematical expression, rule, or law defining the mathematical relationship between the independent variable and the dependent variable.
Mathematical functions are used to define the mathematical relationships that show how the dependent variable can be determined, given an independent variable. They are written with the equal sign (=).
Thus, we can conclude that the rental cost function ƒ (x) = 40 + .15x shows the total amount that a customer would be charged each day for renting a Popcorn machine.
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which are the graphs of sine functions (more than 1 answer)
For the very first graph of the sinx function,
[tex]\sin \frac{\Pi}{2}=1[/tex][tex]\sin \Pi=0.[/tex]According to the coordinates obtained ,
The graph from the options which satisfied the sinx function are,
The graph of option A,C are satisfied the sin function .
Therefore the correct option is A , C.
0.7/0.21 PLEASE HRURY 1 MIn
Answer: If you are asking what 0.7/0.21 is, that is 3.3 repeating.
Answer:
3.33333333
or 3.33
Given that w =(x + y)/z
x = 2.5 ± 0.5, y = 1.5 ± 0.5 and z = 1.1 ± 0.1,
find the lower and upper bounds of w.
The lower and upper bounds of w is 3 and 4.16
What is Upper bound and Lower bound?
An element of K that is bigger than or equal to every element of S is referred to as an upper bound or majorant of S in mathematics, specifically in order theory. In contrast, a lower bound or minorant of S is defined as an element of K that is smaller than or equal to every element of S. A set that has an upper (or lower) bound is said to be majorized[1] (or minorized, respectively) from above (or below) by that constraint.
Given that,
w =(x + y)/z
x = 2.5 ± 0.5,
y = 1.5 ± 0.5
and, z = 1.1 ± 0.1
Substituting the values in the equation to find upper bound
x = 3.0
y = 2.0
z = 1.2
Then,
w = (3 + 2)/1.2
w = 5/1.2
w = 4.16
Substituting the values in the equation to find lower bound
x = 2.0
y = 1.0
z = 1.0
Then,
w = (2 + 1)/1
w = 3/1
w = 3
Hence, The upper bound of w is 4.16
The lower bound of w is 3
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Two is subtracted from a number, and then the difference is divided by 3. The result is 30. Find the number
Answer:
92
Step-by-step explanation:
1) 92-2=90
2) 90/3=30
(I hope this helps!)
Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. By what percent does the baseball field mark up its organic hot dogs?
Answer:
225%
Step-by-step explanation:
We need to find the markup as a percentage of original.
Original price = $2
Markup = 6.5 - 2 = $4.5
So, percentage is:
4.5/2=2.25
Multiplied by 100 gives us percentage:
2.25 * 100 = 225%
Please help! write the answer in slope-intercept form:
-4x + 2y = 20
Answer: y= 2x+10
Step-by-step explanation:
Slope Intercept form: y=mx+b
You want to find the equation in terms of y. So, therefore, isolate 2y
2y=20+4x
Divide both sides by 2
y=10+2x
|
|
|
v
y=2x+10
For which inequality would x = 5.8 not be a solution?
Ox-9<0
05x-14>3
Ox+6 ≤ 10
06-x≤1
Answer:
x+6 ≤ 10
For this inequality 5.8 will not be a solution
Step-by-step explanation:
Plug in x = 5.8 into each inequality. All inequalities except x + 6 ≤ 10 are satisfied
x + 6 = 5.8 + 6 = 11.8 and this is greater than 10 so the inequality x + 6 ≤ 10 is not satisfied
In Canadian coins, 16 quarters is equal in value to 2 toonies. 2. What does the value next to 1 mean in this situation? Type your response in the space below.
Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.
How to illustrate the information?From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.
Therefore, it's important to find the constant of proportionality. This will be:
y = kx
where y = quarter
k = constant
x = toonies
16 = 2k
k = 16/2
k = 8
The value next to 1 quarter will be:
y = kx
y = 1 × 8
y = 8
Therefore, the toonies will be equal to right quarters.
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Javier Alverez borrowed $3345 for new business equipment. He agreed torepay the loan in 87 days at an exact interest rate of 10.5 percent. What is thematurity value of his loan?
The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur.
The interest is calculated by:
I = Prt
Where P is the amount of the loan, r is the interest rate and t is the time of the loan.
We are given:
P = $3345
r = 10.5%
t = 87 days
Convert the interest rate to daily by dividing by 365 (assuming a calendar 365-day year):
[tex]r=\frac{10.5}{100\cdot365}=0.00028767[/tex]Calculate the interest (we keep all the decimals in the calculator):
I = $3345 x 0.00028767 x 87
I = $83.72
The maturity value (final value) of the loan is:
FV = P + I = $3345 + $83.72
FV = $3428.72
cube root of 0.000729
Answer: 0.09
Step-by-step explanation:
Xavier filled a 36 ounce cup with water. Hequickly drank 20% of it. How much water didhe drink?
According to the information given in the exercise, Xavier drank 20% of the 36 ounce cup with water.
You can write 20% as a decimal number by dividing it by 100:
[tex]\frac{20}{100}=0.2[/tex]Let be "x" the amount of water
↑
An alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 2.8 feet has a tail length of 2 feet. What is the tail length of an alligator whose body length is 4 2 feet?
Body length, B
-Tail length, 7-
The tail length is
feet
(Type an integer or decimal rounded to the nearest tenth as needed)
The tail length of an alligator whose body length is 4.2 feet will be 3 feet.
What is direct proportionality?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -
y = kx
k = y/x
where [k] is the constant
Given is an alligator's tail length [T] varies directly as its body length [B]. An alligator with a body length of 2.8 feet has a tail length of 2 feet.
We can write as -
tail length [T] [tex]\alpha[/tex] body length [B].
Therefore -
T/B = K [Constant]
We can write -
T₁/B₁ = T₂/B₂
2/2.8 = T₂/4.2
T₂ = (2 x 4.2)/2.8
T₂ = 3 ft
Therefore, the tail length of an alligator whose body length is 4.2 feet will be 3 feet.
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THE CASE OF THE MIXED UP PAWN SHOP!
100 POINTS!!!!!!!!!!
Answers 1: = ⅔ y + 4
2. x - y = 8
3. numb.
4. x = ⅓ y + 1
5. x = 2y - 2
-. What's the first step in this multi step problem?
Note: For each step, the same thing is done to both sides of the equation.
x/3 - 15 = -5
O 3× x/3 -15 = -5×3
O x/3 - 15 + 15 = -5 + 15
The equation that represents the first step is (b) x/3 - 15 + 15 = -5 + 15
How to determine the first step of the equation?The equation is given as
x/3 - 15 = -5
In the above equation, we have:
Variable term = x/3Constant terms = -15 and -5The first step is to eliminate the constant terms from the variable terms
This is done by adding 15 to both sides of the equation
So, we have
x/3 - 15 + 15 = -5 + 15
Hence, the first step is (b) x/3 - 15 + 15 = -5 + 15
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-3xy(2xy^2-xy+y^2)
help me pls
Applying the distribution property of equality, -3xy(2xy² - xy + y²) = -6x²y³ + 3x²y² - 3xy³.
What is the Distribution Property of Equality?The distribution property of equality is a property of equality which is used to pen up parentheses in a given polynomial operation.
For example, given that a(b + c), we can expand of remove the parentheses by using the term "a" to multiply every term within the parentheses, that is b and c. Thus, we would have:
a(b + c) = a(b) + a(c) [distribution property of equality]
a(b + c) = ab + ac.
Given the polynomial expression, -3xy(2xy² - xy + y²):
-3xy(2xy² - xy + y²)
-3xy(2xy²) -3xy(-xy) -3xy(y²) [distribution property of equality]
-6x²y³ + 3x²y² - 3xy³
Therefore, -3xy(2xy² - xy + y²) = -6x²y³ + 3x²y² - 3xy³.
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Is it possible for f(x)=5•2^x
To equal to 200? If yes why and if not why?
Answer: It is not possible for f(x) = 5(2^x) to equal to 200.
Step-by-step explanation: I put it in a calculator. When x = 5.321, the output is approximately 199.871380105. But when x = 5.322, the output is about 200.009968414. This means that the output of exactly 200 is impossible.
0
37 The value of b is 75°. What is the value of 4x in the triangle?
A 15°
B 30°
C 45°
60°
OE 120°
O
b
3x
4.x
The value of angle 4x of the triangle is found as 60 degrees.
Describe the triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.Triangle CharacteristicsThe sum of a triangle's three interior angles is always 180.The sum of any two triangle sides is always higher than the length of the third side.A triangle's area is equal to half the product of its base as well as height.For the given question,
The angle of the triangle are given as;
b = 753x and 4xWe know that the sum of the angles of the triangle is 180 degrees.
thus,
75 + 3x + 4x = 180
7x = 180 - 75
7x = 105
x = 15
the, 4x = 4×15 = 60
Thus, the value of angle 4x of the triangle is found as 60 degrees.
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HELP ASAP!!!! BRAINLIEST!!
The average depth of the pacific ocean is 14,040 ft, and its depth is 8890 ft less than the sum of the average depths of the Atlantic and Indian oceans. The average depth of the Indian ocean is 272 ft less than four-fifths of the average depth of the atlantic ocean.
Answer:
If im correct it should be 1827
Step-by-step explanation:
I think i did this eqasion properly
HELP FAST PLEASE! I NEED THE ANSWER, THIS IS SO DIFFICULT
Abdul brought 16 packs of cola to a party, and each pack had 8 cans. Diane brought 9 cans of juice. How many cans did they bring in all?
Answer:
Abdul and Diane brought 137 cans in all.
Step-by-step explanation:
Abdul brought 16 packs that had eight cans each so to find how many cans he brought in total you do:
16 × 8 = 128
Diane brought 9 cans.
To find what they brought in all add the two amounts together:
128 + 9 = 137
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estimated answer for 3 3/7 x 1 3/4
First, rewrite both numbers as improper fractions.
[tex]3\frac{3}{7}=3+\frac{3}{7}=\frac{3\cdot7}{7}+\frac{3}{7}=\frac{21}{7}+\frac{3}{7}=\frac{24}{7}[/tex][tex]1\frac{3}{4}=1+\frac{3}{4}=\frac{1\cdot4}{4}+\frac{3}{4}=\frac{4}{4}+\frac{3}{4}=\frac{7}{4}[/tex]Next, multiply both numbers. To do so, multiply the numerators and denominators sparatedly:
[tex]3\frac{3}{7}\times1\frac{3}{4}=\frac{24}{7}\times\frac{7}{4}=\frac{24\cdot7}{7\cdot4}[/tex]Since the factor 7 appears both in the numerator and the denominator, we can cancel it out:
[tex]3\frac{3}{7}\times1\frac{3}{4}=\frac{24\cdot7}{7\cdot4}=\frac{24}{4}[/tex]Since 24 divided by 4 is 6, then:
[tex]3\frac{3}{7}\times1\frac{3}{4}=6[/tex]Use unit rates to determine the better buy and provide the unit price for your answer. Round your answer to the nearest hundredth, if necessary.
$4.05 for 150 index cards
$1.17 for 30 index cards
The unit rate of the given parts are :
1) 37.037 index cards
2) 25.64 index cards
What is unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate. The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.
1 ) $4.05 for 150 index cards
Thus for $1 we will get = 37.037 index cards
2) $1.17 for 30 index cards
Thus for $1 we will get = 25.64 index cards
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Evaluate the expression when a=4 and b=9. 8b-a
There are some regular and diet soft drinks in the refrigerator. if 1/4 of the soft drinks are diet, what percent of the soft drinks are diet drinks?
Answer: 25%
Step-by-step explanation:
1/4 make the denominator 100
100/4 =25
times 25 by 1/4 = 25/100
Answer = 25%
What is the relationship between remote interior angles and the associated exterior angle
The measure of the exterior angle equals the sum of the two remote interior angles
Explanation:
The measure of the exterior angle equals the sum of the two remote interior angles
then
[tex]\begin{gathered} \\ \text{exterior angles= 2}\cdot interior\text{ angles} \end{gathered}[/tex]I hope this helps you
Use < or > to write a true sentence. show Your work in lining up decimals and adding Zeroes.7.123 7.213
To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,
7.123 < 7.213
find a. angle measure Ab. mC^Ec. angle measure Cd. angle measure De. angle measure ABE
Part A: Solving for angle measure A
Part B: Finding Arc CE
[tex]\begin{gathered} m\angle B=\frac{1}{2}\text{Arc }CE \\ 24\degree=\frac{1}{2}\text{Arc }CE \\ \text{Arc }CE=2\cdot24\degree \\ \\ \text{Therefore, Arc }CE=48° \end{gathered}[/tex]Part C: Finding ang measure C
[tex]\begin{gathered} m\angle C=\frac{1}{2}\text{Arc }BD \\ m\angle C=\frac{1}{2}(82\degree) \\ \\ \text{Therefore, }m\angle C=41° \end{gathered}[/tex]Part D: angle measure D
[tex]\begin{gathered} m\angle D=\frac{1}{2}\text{Arc }AC \\ m\angle D=\frac{1}{2}(74\degree) \\ m\angle D=\frac{1}{2}(74\degree) \\ \\ \text{Therefore, }m\angle D=37° \end{gathered}[/tex]Part E: angle measure ABE
[tex]\begin{gathered} m\angle ABE=\frac{1}{2}\text{Arc AE} \\ m\angle ABE=\frac{1}{2}(\text{Arc AC}+\text{Arc CE}) \\ m\angle ABE=\frac{1}{2}(74\degree+48\degree) \\ m\angle ABE=\frac{1}{2}(122°) \\ \\ \text{Therefore, }m\angle ABE=61° \end{gathered}[/tex]how much larger 38x38 then 37x37
Answer:
38 × 38 is larger than 37 × 37 by 75!
Find the minimum or maximum value of the function y=-x^2-4x-2 . Describe the domain and range of the function, and where the function is increasing and decreasing.
The quadratic function only has a maximum at y = 2, and:
Domain: All real numbers.Range: y ≤ 2Increases in: (-∞, 2)Decreases in: (2, ∞)How to find the minimum or maximum of the given function?Here we have a quadratic function:
y = -x^2 - 4x - 2
Because the leading coefficient is negative, we know that the parabola opens downwards, then we only have one maximum which is at the vertex.
The x-value of the vertex is at:
x = -(-4)/(2*-1) = 4/-2 = -2
Evaluating in that x-value we will get the maximum:
y = -(-2)^2 - 4*-2 - 2 = -4 + 8 - 2 = 2
The maximum is y = 2.
Then:
The domain is the set of all real numbers like in all quadratics.
The range is the set y ≤ 2
And the function increases in (-∞, 2)
And decreases on (2, ∞).
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x/2 + 4 = 11 is the solution -16 or -4 or 20 or 10 or is none of them the solution
Expression is a combination of numbers, variables and operators. x=14 is the solution of the expression x/2 + 4 = 11 .
What is Expression?Expression is a combination of numbers, variables and operators.
The given expression is x/2 + 4 = 11
x by two plus four equal to eleven.
here x is the variable
We have to keep variables on one side and numbers on other side.
Let us subtract 4 on both sides
x/2+4-4=11-4
x/2=7
Multiply two on both the sides
2(x/2)=7×2
x=14.
Among the solution -16 or -4 or 20 or 10. we dont have any value which is 14. Hence the solution is none of them.
Therefore the value of x is 14.
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