Answer:
I believe it's 5.0
Step-by-step explanation:
I believe so if its not I'm sorry
A yoga studio sells monthly memberships. the function f(x) = −x2 50x − 264 models the profit in dollars, where x is the number of memberships sold. determine the zeros, and explain what these values mean in the context of the problem.
The zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.
To determine the zeroes, calculate:The function we have is: [tex]f(x) = -x^{2} +50x-264[/tex]
That models the profit in dollars, where [tex]x[/tex] is the number of memberships sold.
In order to get the zeros we'll use the quadratic formula:
[tex]x_{1,2} =\frac{-b+-(b^{2}-4ac) }{2a} \\[/tex]
For,
[tex]a=-1,b=50,c=-264: x^{1,2} =\frac{-50+-\sqrt[]{50^{2} -4(-1)(-264)} }{2(-1)} \\x_{1} =\frac{-50+\sqrt[]{50^{2} -4(-1)(-264)} }{2(-1)} =\frac{-50+\sqrt[]{50^{2} -4*1*264} }{2(-1)}=\frac{-50+\sqrt[]{1444} }{-2} =6\\x_{2} =\frac{-50+\sqrt[]{50^{2} -4(-1)(-264)} }{2(-1)} =\frac{-50-\sqrt[]{50^{2} -4*1*264} }{2(-1)}=\frac{-50-\sqrt[]{1444} }{-2} =44\\[/tex]
So, the zeroes are [tex]x=6, x=44[/tex].
Therefore, the zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.
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The complete question is given below:
A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 6, x = 44; The zeros represent the number of monthly memberships that produce a maximum profit.
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships that produce a maximum profit.
Answer:
The answer is: x = 6, x = 44; The zeros represent the number of monthly memberships when no profit is made.
Three times my age in 5 years is 54. How old am i now.
a.10
b.11
c.12
d.13
e.14
Answer:
D. 13
Step-by-step explanation:
54 ÷ 3 = 18 (your age in 5 years)
18 - 5 = 13 (your age now)
The total number of reds, yellows, and
greens on a scale is 9. The reds weighed
3 pounds each, the yellows weighed
6 pounds each, and the greens weighed
5 pounds each. The total weight is 44
pounds. If there are 2 more greens than reds,
how many of each color are there?
Using the total weight the number of red, green and yellow colour are 2, 4 and 3 respectively.
How to find each colour using total weight?The total number of reds, yellows, and greens on a scale is 9.
The reds weighed 3 pounds each, the yellows weighed 6 pounds each, and the greens weighed 5 pounds each. The total weight is 44
pounds. There are 2 more greens than reds.
Therefore,
let
x = number of reds
number of greens = x + 2
y = number of yellow
Therefore,
x + x + 2 + y = 9
2x + y = 7
3x + 6y + 5(x + 2) = 44
3x + 6y + 5x + 10 = 44
8x + 6y = 34
Hence,
2x + y = 7
8x + 6y = 34
8x + 4y = 28
8x + 6y = 34
2y = 6
y = 6 / 2
y = 3
2x + 3 = 7
2x = 7 - 3
2x = 4
x = 4 / 2
x = 2
Therefore,
the number red colour = 2
the number of green colour = 2 + 2 = 4
the number of yellow colour = 3
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Translate each sentence into an equation.
1. One fourth of m minus six is equal to two times the sum of m and 9.
4. MARBLES Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles
and four fewer green marbles than blue marbles. Write and solve an equation to determine how many blue
marbles Drew has.
One fourth of m minus six is equal to two times the sum of m and 9:
[tex]\dfrac{1}{4}m -6=2(m+9)[/tex]This is self-explanatory, please comment if something is unclear.
Question 2Drew has 50 marbles; red, green and blue.
Equation for this:
r + g + b = 50He has six more red marbles than blue marbles:
Equation for this:
r = b + 6He has four fewer green marbles than blue marbles:
Equation for this:
g = b - 4Substitute r and g into first equation and solve for b:
r + g + b = 50b + 6 + b - 4 + b = 503b + 2 = 503b = 48b = 48/3b = 16Drew has 16 blue marbles.
Solve question
6= x/4 + 2
Answer:
x=16
Step-by-step explanation:
6= x/4 + 2
Subtract 2 from both sides.
4= x/4
Multiply 4 to both sides.
x=16
Hope this helps!
Please help me urgently
Answer:
A=36°
B=54°
C=90°
a=7
b=9.6
c=11.9
Step-by-step explanation:
Upper case A,B,C are angles. B and C are given. Calculate A because the three angles in a triangle add up to 180°. See image.
Lower case a,b, and c are side lengths.
a is given. You need to use trigonometry and a calculator to find b or c or both. Or you can find one and use the Pythagorean Theorem to find the other. See image.
Please help
Find the area in square units of ABC△ plotted below.
Answer:
Use the distance formula on both points AC and AB.
Distance formula is this:
\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
the answer is 43.5
Jan has $30. Brenda has $66. How many DVDs can they buy with their total amount if one DVD costs $12?
Answer: they can buy about 8 dvds
Step-by-step explanation:
this is because 30 + 66 = 96 and if you do 96 divided by 12 it gives you 8
Find the output, h, when the input, x, is -18.
h = 17+
=
I
6
The value of output, h, when the input, x, is -18 for the given equation is 14
Solving an equationFrom the given question, we are to determine the value of the output, h, when the input x is -18
The given equation written properly is
h = 17 + x/6
Now, to determine the value of output, h, we will put in the value of x into the equation
h= 17 + x/6
The given value of x is -18
Thus, putting the given value of x into the equation, we get
h= 17 + x/6
h= 17 + -18/6
h = 17 + -3
h = 17 - 3
NOTE: + × - = -
h = 14
∴ h is 14 when x is -18
Hence, the value of output, h, when the input, x, is -18 for the given equation is 14
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Ashley has two equations that she found to be valuable models for her research. She thinks that if she can find the intersection of the two graphs, she will be able to identify a key point to her studies. At what point do these equations intersect?
4y –x = 9
y = 2x − 3
(3,3)
(3,-3)
(-3,-3)
(-3,3)
The equations intersect at the point (3 ,3 ).
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
The question gives:
4y –x = 9 (1)
y = 2x − 3 (2)
You should replace the variable y of equation 1 to equation 2. Then, you will have:
4*(2x-3)-x=9
8x-12-x=9
8x-x=9+12
7x=21
x=3
If x=3, from equation 2 you can find the value of y. Thus, y=2*3-3=6-3=3
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there were 7 cantaloupes for every 8 watermelons in the garden. If there were 98 cantaloupes, how many watermelons were in the garden?
Answer:
14×7=98 so multiply the same into 14×8=112
Answer:
112 watermelons
Step-by-step explanation:
7/8 = 7÷7/8÷7 = 1/1.14285714286
1 x 98/ 1.14285714286 x 98
98/112
In the expansion of (2a + 3b)8, which of the following are possible variable terms? Explain your reasoning.
a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5
The possible variable terms are a^5b^3, b^8, a^4b^4, a^8, ab^7
How to determine the possible variable term?The expression is given as:
(2a + 3b)^8
The power of the above expression is 8
When expanded, the sum of powers on each variable must be 8.
Using the above explanation, we have the following possible variable terms:
a^5b^3, b^8, a^4b^4, a^8, ab^7
This is because the sum of powers equals 8
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Choose the best answer. the diagonals of a square bisect each other at ___ angles.
right angles. .... . . . . ......
(06.04) it costs $100 to rent the bowling alley, plus $4 per person. the cost for any number (n) of people can be found using the expression 100 4n. the cost for 15 people equals $ ___. (input whole number only.) numerical answers expected! answer for blank 1:
The cost for 10 people equals to $ 140.
What is cost simple word?
Cost is a value of money that a company had to spend to produce its goods or services. It is calculated as the amount that company spends in order to produce a certain unit of a product. In simple words – it is the money that a company spends on things such as labor, services, raw materials, and more.Cost of renting bowling alley = $ 100
Additional cost of renting bowling alley per person = $ 4
⇒ Total Cost for n no. of people = 100 + 4 × n
So, Cost for 10 people = Fix $100 for bowling alley + $4 for each 10
people
= 100 + 4 × 10
= 100 + 40
= 140
Therefore, The cost for 10 people equals to $ 140.
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help with math and explain plsss
Step-by-step explanation:
cotθcosθ=1tanθ⋅1cosθ
The table represents the amount of storage space, in megabytes, used by music files on Zayd’s computer.
A 2-column table with 5 rows titled Zayd's Music Storage. The first column is labeled Number of Files with entries 10, 20, 30, 40, 50. The second column is labeled Space Used (Megabits) with entries 15, 30, 45, 60, 75.
Which statement best describes the relationship between storage space and number of music files?
As the number of files remains constant, the storage space used decreases.
As the number of files remains constant, the storage space used increases.
As the number of files increases, the storage space used decreases.
As the number of files increases, the storage space used increases.
Answer:
As the number of files increases, the storage space used increases.
A man spent one-fourth of his salary on food and one-half of the remainder on clothing. If his salary is 120000, how much did he spend on clothing
Answer:
salary=120000
1/4×120000=30000= money spent
remainder=120000- 30000
= 90000
money spent on clothing =1/2×90000
=45000
Explanation: If his salary is $120,000 and 1/4 is used on food he has a remaining of $80,000. He uses 1/2 on clothing so he has a remainder of $40,000 so now we know that he used $40,000 on clothing
Answer: $40,000
Hope this helps you! :D
Find sin() and cos(), tan() and cot(), and sec() and csc(). webassign plot (a) sin() and cos() (b) tan() and cot() (c) sec() and
The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4
How to evaluate the trigonometry functions?The figure that completes the question is added as an attachment
From the figure, we have the third side of the triangle to be
Third = √(7^2 - 4^2)
Evaluate
Third = √33
The sin(α) is calculated as:
sin(α) = Opposite/Hypotenuse
This gives
sin(α) = 4/7
The cos(β) is calculated as:
cos(β) = Adjacent/Hypotenuse
This gives
cos(β) = 4/7
The tan(α) is calculated as:
tan(α) = Opposite/Adjacent
This gives
tan(α) = 4/√33
The cot(β) is calculated as:
cot(β) = Adjacent/Opposite
This gives
cot(β) = 4/√33
The sec(α) is calculated as:
sec(α) = Hypotenuse/Adjacent
This gives
sec(α) = 7/√33
The csc(β) is calculated as:
sec(β) = Hypotenuse/Opposite
This gives
sec(β) = 7/√4
Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4
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help needed with this one
Based on the given parameters, the length of the missing length in the triangle is 12 units
How to determine the length of the missing side?The given triangle is an scalene triangle
Scalene triangles are triangles that have unequal three sides
The missing side is x, and the value of x is calculated using the following equivalent ratios
We have
4 : 8 = 6 : x
Express the above equation as a fraction
4/8 = 6/x
Evaluate the quotient
0.5 = 6/x
Solve for x
x = 6/0.5
Evaluate the quotient
x = 12
Hence, the length of the missing length is 12 units
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The product of three consecutive integers is 210. What is their sum?
Answer:
3 consecutive no.s are
5×6×7=210
sum of them is= 5+6+7
=18
So, I hope. it helps !!
PLEASE HELP IM STUCK PLS
Answer:
The slope is -3.
Step-by-step explanation:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:
RISE = (-6 - 3) = -9
RUN = (8 - 5) = 3
Rise/Run, or slope, is = -9/3 or -3
I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.
Find, correct to the nearest minute, the angle subtended at the centre of a circle of radius 5 cm by an of length 13 cm.
[tex]\\ \tt{:}\dashrightarrow \ell=\dfrac{\Theta}{180}\pi r[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=\dfrac{180\ell}{\pi r}[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=\dfrac{180(13)}{5\pi}[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=149^{\circ}[/tex]
1°=60'[tex]\\ \tt{:}\dashrightarrow \Theta=149(60)[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=8940'[/tex]
The angle subtended at the center of a circle of radius 5 cm by a length of 13 cm is 149.1°.
Given that,
The angle is subtended at the center of a circle of radius 5 cm by a length of 13 cm.
Here, Lenght of an arc = 13 cm
The radius of an arc = 5 cm
Used the formula for the angles (θ);
Length of an arc = 2πrθ / 360°
Substitute all the values, we get;
13 = 2 × 3.14 × 5 × θ / 360°
Solve for θ;
13 × 360° = 31.4 × θ
4,680° = 31.4 × θ
θ = 4,680°/31.4
θ = 149.1°
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Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
4x − y = −6
x + 4y = 7
x − 4y = −9
4x + y = 2
Answer:
x + 4y = 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (3, 1 )
m = [tex]\frac{1-2}{3-(-1)}[/tex] = [tex]\frac{-1}{3+1}[/tex] = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 2 )
2 = [tex]\frac{1}{4}[/tex] + c ⇒ c = 2 - [tex]\frac{1}{4}[/tex] = 1 [tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex]x + [tex]\frac{7}{4}[/tex] ← in slope- intercept form
multiply through by 4 to clear the fractions
4y = - x + 7 ( add x to both sides )
x + 4y = 7 ← equation in standard form
equation of line in two point form is needed here.
(y - y1) = [ (y2 - y1)/(x2-x1) ] (x - x1)y - (2) = [ (1 - 2)/(3 - (-1)) ] (x - (-1))y - 2 = [ -1/4 ] (x + 1)y = -(x/4) -1/4 + 2y = -x/4 + 7/44y = -x + 7x + 4y = 7What is the weight (in grams) of a liquid that exactly fills a 202 milliliter container if the density of the liquid is 0.685grams over milliliter? round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point.
Answer:
138.37 g
Step-by-step explanation:
Mass is the product of density and volume.
MassM = ρV = (0.685 g/mL)(202 mL) = 138.37 g
Simplify: 7^x+1 + 7^x / 2×7^x
The simplified form of the expression 7^x+1 + 7^x / 2×7^x as given in the task content follows from the laws of indices and is equal to; 4.
What is the simplified form of the expression 7^x+1 + 7^x / 2×7^x?It follows from the task content that the expression whose simplified form is to be determined is given as; 7^x+1 + 7^x / 2×7^x.
On this note, it follows from the law of indices that; 7^x+1 = 7× 7^x.
Hence, we have; 7^x(7+1 ) / 2×7^x.
And upon simplification, we have; 8/2 = 4.
Consequently, we may conclude that the simplified form of the expression as given in the task content is; 4.
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from your scale drawing, find the actual distance between the opposite corners of the school ball
The actual distance between the opposite corners of the school hall is; 10√34 m
How to use a Scale Drawing?The scale drawing showing the corners of the hall has been drawn and attached.
Now, from the attached scale drawing it was drawn with the scale;
1 cm to represent 5 m.
Now, the distance between the opposite corners of the hall measuring 50 m and 30 m is indicated as D on the scale drawing. Thus, to find the distance between the opposite corners, we will use Pythagoras theorem to get;
D² = 30² + 50²
D² = 900 + 3500
D² = 4400
D = √4400
D = 10√34 m
Thus, the actual distance between the opposite corners of the school hall is; 10√34 m
Complete question is;
Make a scale drawing of a rectangular school hall which is 50 m long and 30 m wide using a scale of 1 cm to 5 m. From your scale drawing, find the actual distance between the opposite corners of the hall.
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Larry took 21 minutes to do 7 math problems. Mary took 19 minutes to do 8 math problems. Which student
did more problems per minute
The graphs below are both quadratic functions. The equation of the red graph
is fx) = ». Which of these is the equation of the blue graph, g(x)?
Answer:
A. y = 1/3x^2
Step-by-step explanation:
The red graph is stretched horizontally by a factor 1/3 to give the blue graph
Solve for P : p/10 = 7.2/3
P/10 = 7.2/3
P = 7.2x10/3
P=72/3
P= 24
Translate and solve using proportions. What number is 63% of 190?
Answer:
Step-by-step explanation:
190/x=100/63
(190/x)*x=(100/63)*x - we multiply both sides of the equation by x
190=1.5873015873016*x - we divide both sides of the equation by (1.5873015873016) to get x
190/1.5873015873016=x
119.7=x
x=119.7
now we have:
63% of 190=119.7
You are requesting a number, as the question clearly states. So, a number should be the response. However, because 63 and 190 are not stated and might indicate a variety of things, we must make an assumption in order to provide a response.
We will thus assume that 63 is a percentage and that 190 is a number in order to respond to the question, "What number is 63 of 190?"
We multiply 63 by 190 and then divide the result by 100 to obtain the solution. Here is the calculation and response to your query:
⇒ 63 x 190 = 11970
⇒ 11970 / 100 = 119.7
Assuming you meant 63 percent of 190, the answer to the question "What number is 63 of 190?" is 119.7, as shown and computed above.
Thank you,
Eddie