Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
Helppppppp
1. Which of the following equations are written in proper slope-intercept form?
y = -x + 9
4y = 2x - 1
x + y = 10
3x + 7y = 0
Answer:
a. y = -x + 9
Step-by-step explanation:
slope-intercept form is
y = mx + b
so of the options, only option a follows slope-intercept form.
hope this helps!
Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)
The reasures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both angles.
Answer:
150° : 30°
Step-by-step explanation:
total ratio
5 + 1 = 6
ratio 1
180 ÷ 6 = 30
ratio 5
30 × 5 = 150
WILL MARK YOU BRAINLIEST PLEASE HELP ASAP
Answer:
29.5m because it is rectangular finger and one path is loss .loss Parth is triangle
The owner of two local restaurants has decided to randomly sample customers and gather feedback from the customers regarding the restaurants' cleanliness, service, and food quality. Over the course of five nights, five customers from each restaurant are randomly asked to fill out a survey, rating the restaurant on the three categories and using a scale from 1 to 5. A rating of 1 represents a very poor customer experience, and a rating of 5 represents an excellent customer experience. After five nights, the restaurant owner organizes and records the data, making a table for each restaurant.
Restaurant A
Cleanliness Service Food Quality
4, 3, 5, 4, 3, 4, 5, 4, 4, 2, 1, 4, 1, 2, 3, 2, 3, 2, 2, 5, 4, 4, 3, 5, 4 1, 5, 2, 1, 5, 1, 2, 5, 4, 4, 3, 1, 3, 4, 5, 3, 5, 4, 2, 1, 5, 4, 1, 1, 3 5, 4, 1, 1, 3, 5, 3, 3, 3, 4, 4, 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 1
Restaurant B
Cleanliness Service Food Quality
4, 4, 2, 1, 4, 4, 2, 3, 5, 1, 5, 3, 2, 2, 2, 3, 1, 2, 2, 4, 2, 2, 3, 2, 2 3, 2, 4, 5, 3, 3, 2, 5, 3, 5, 1, 3, 1, 3, 1, 2, 4, 3, 3, 2, 4, 4, 1, 3, 5 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 4, 4, 4, 1, 2, 5, 5, 5, 3, 5, 4, 1Calculate the mean absolute deviation of the Restaurant A's service ratings. [Note: Type your answer as a number. Do not round.]
MAD =
help please
Answer:
1.36
1. Find the mean of all values. (3)
2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
3. Find the mean of those distances.
Answer:1.36
Step-by-step explanation:
help last question A semicircular mat has a diameter of 18 m. What is the area of the mat?
Answer:
127.2
Step-by-step explanation:
The area of a semicircle is:
[tex]\frac{\pi r^{2} }{2}[/tex]
So to figure it out we first find the diameter:
18÷2=9
Then we plug it into the equation
[tex]\frac{9^{2}\pi }{2} = \frac{81\pi}{2}[/tex] Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)
HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES
Answer:
1. 170.083 in³
2. 126π in³
3. 92.106 m³
4. 2412.74 in³
5. 612π m³ and 1922 m³
Step-by-step explanation:
1.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex](3.14)(2.5)^{2}(7)[/tex] *Square 2.5*
[tex](3.14)(6.25)(7)[/tex] *Solve*
≈ [tex]137.375in^{3}[/tex]
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(2.5)^{3}[/tex] *Cube 2.5*
[tex]\frac{\frac{4}{3}(3.14)(15.625)}{2}[/tex] *Divide by 2 and Solve*
≈ [tex]32.7083 in^{3}[/tex]
Add both volumes
[tex]137.375 + 32.7083[/tex] ≈ [tex]170.083in^{3}[/tex]
2.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (3)^{2}(10)[/tex] *Square 3*
[tex]\pi (9)(10)[/tex] *Multiply*
[tex]90\pi[/tex]
Sphere:
[tex]V = \frac{4}{3}[/tex] π [tex]r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} \pi (27)[/tex] *Multiply*
[tex]36\pi[/tex]
Add both Volumes to get total
[tex]90\pi + 36\pi = 126in^{3}[/tex]
3.
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} (3.14)(27)[/tex] *Multiply*
[tex]113.04m^{3}[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{(3.14)(2)^{2}(5)}{3}[/tex] *Square 2*
[tex]\frac{(3.14)(4)(5)}{3}[/tex] *Solve*
[tex]20.93m^{3}[/tex]
Subtract the volumes to get the volume of the blue area
[tex]113.04 - 20.93 = 92.106m^{3}[/tex]
4.
Sphere:
[tex]V = \frac{4}{3} \pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (8)^{3}[/tex] *Cube 8*
[tex]\\\frac{4}{3}\pi (512)[/tex] *Multiply*
[tex]\\\\\pi (682.6)[/tex] *Solve*
[tex]2133.66in^{3}[/tex] *Divide by 2 since it's a hemisphere*
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (8)^{2}(20)}{3}[/tex] *Square 8*
[tex]\frac{\pi (64)(20)}{3}[/tex] *Multiply and Divide*
[tex]1340.41 in^{3}[/tex]
Add both volumes
[tex]1072.33 + 1340.41 = 2412.74in^{3}[/tex]
5.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (6)^{2}(16)[/tex] *Square 6*
[tex]\pi (36)(16)[/tex] *Multiply*
[tex]576\pi[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (6)^{2}3}{3}[/tex] *Square 6*
[tex]36\pi[/tex]
Add both volumes
[tex]576\pi + 36\pi = 612\pi m^{3}[/tex]
Alternative: *Multiply π*
[tex]1922m^{3}[/tex]
Answer:
1) 175 [tex]in^2[/tex]
2) 1st option
3) 92 [tex]m^2[/tex]
4) 2412 [tex]in^3\\[/tex]
5) 2nd option
Step-by-step explanation:
[tex]1)\ A = D * Pi = 5 * 3.14 = 15.7\\[/tex]
[tex]2)\ V_{1} = 15.7 * 7 = 109.9[/tex]
[tex]3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)[/tex]
[tex]4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3[/tex] which is close to 175
[tex]1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\[/tex]
[tex]2)\ V_1 = A * h = 28.26 * 10 = 282.6[/tex]
[tex]3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04[/tex]
[tex]4)\ V_1 + V_2 = 282.6 + 113 = 395.6[/tex] which is very close to 396
[tex]5)\ 396 = 126 * pi[/tex]
[tex]1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)[/tex] =
[tex]2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\[/tex]
[tex]3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14[/tex] which is very close to 92
[tex]1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\[/tex]
[tex]2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733[/tex]
[tex]3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412[/tex]
[tex]1)\ A = Pi * R^2 = 36*Pi\\[/tex]
[tex]2)\ V_1 = 36*Pi * 16 = 576 * Pi\\[/tex]
[tex]3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi[/tex]
[tex]4) V_1 + V_2 = 576Pi + 36Pi = 612Pi[/tex]
which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
PEASE HELP RIGHT AWNSER GETS THE CROWN THING
Answer: i believe that the answer is B :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We can either use the graph or the chart.
For this question it'll be easier to use the graph.
First find the y-intercept (that were your line meet the y-axis)
y = 4
Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])
Slope = 2
Then plug them into the equation: y = mx + b
m = slope = 2
b = y-intercept = 4
y = 2x + 4
Therefore, the answer is A
Expand the expression by distributing
-2(-4x-7)
Answer:
8x+14
Step-by-step explanation:
Find the difference. (k2−7k+2)−(k2−12)
Answer:
-7k + 14
Step-by-step explanation:
(k² - 7k + 2) - (k² - 12)
k² - 7k + 2 - k² + 12
k² - k² - 7k + 2 + 12
-7k + 14
I will mark you brainlist!
Answer:
1. 2 runners
2. 25 runners
3. 24%
4. 15 runners
5. 60%
6. uh I think it's asking the same thing as 3, so 24%?
hello please help i’ll give brainliest
Help me pleaseeeeeeeee
71
Step-by-step explanation:
that it is not 0 because i am a teacher mrs.brainly so there is the thing
yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight
Answer:
The temperature was -8.5
Step-by-step explanation:
Subtraction
(sin 9x)'
what is the derivative of sin 9x
Answer:
[tex]\displaystyle \frac{d}{dx}[\sin(9x)] = 9 \cos(9x)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \sin(9x)[/tex]
Step 2: Differentiate
Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \cos(9x)(9x)'[/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = 9 \cos(9x)(x)'[/tex]Basic Power Rule: [tex]\displaystyle y' = 9 \cos(9x)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
does anyone know how to do this?
Answer:
mRS = 116
Step-by-step explanation:
If Segment SR ≅ TU then, arc SR ≅ arc TU
Thus, 6x - 28 = 4x + 20
^ ( note that this is the equation we will use to solve for x )
6x - 28 = 4x + 20
step 1 add 28 to each side
28 + -28 cancels out
28 + 20 = 48
we now have 6x = 4x + 48
step 2 subtract 4x from each side
6x - 4x = 2x
4x - 4x cancels out
we now have 2x = 48
step 3 divide each side by 2
2x / 2 = x
48 / 2 = 24
we're left with x = 24
Now to find the value of arc RS we substitute x with 24 in arc RS' given expression
arc RS = 6x - 28
* substitute x with 24 *
arc RS = 6(24) - 28
6 * 24 = 144
144 - 28 = 116
Hence, arc RS = 116
Answer:
Answer : mRS equals 116.
HELP ME PLZ I NEED HELP
Answer:
A
Step-by-step explanation:
[tex]\frac{12}{a} = \frac{9}{b} => 12b = 9a[/tex]
[tex]12 * 1.5 = 9 * 2[/tex]
[tex]18 = 18[/tex]
This option works
Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.
Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
Dixon leaves school to go home.he walks 6 blocks north and 8 blocks west. How far is Dixon from the school
Answer:
2 blocks would be the correct answer
Adrian drives 14 miles east on Broadmoor and 10 mies south on 5th street each day to get to work. Find the number miles Adrian would drive if he took the diagonal path along Skyline Drive instead? NO LINKS!!!
Answer:
just add all the numbers
Step-by-step explanation:
please follow me,
follow you back...
Answer:
The answers is 17.2 miles
Step-by-step explanation:
what is the slope?
if possible can you explain?
Answer:
[tex]m = \frac{4}{5} [/tex]
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).
18 is 15% of what number
Answer:
120
Step-by-step explanation:
Help with this question
Answer: A. X=4
Step-by-step explanation:
Since the line is on the X axis you can see its touching x,4 y,0
Select ALL the equations where a = 5 is a solution.
Group of answer choices
a + 10 = 14
4 = 20 ÷ a
13 + a = 18
36 = 5a
a - 5 = 0
Can anyone help me on the first question??
Choose the correct trig ratio you would use to solve for the missing piece of the right triangle:
Find the measure of the arc or angle indicated
Answer:
the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.
Step-by-step explanation:
Answer:
A) 64°
Step-by-step explanation:
By intersecting secants theorem:
[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]
[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]
[tex] 70\degree =134\degree - m\widehat {BD} [/tex]
[tex] m\widehat {BD} =134\degree - 70\degree[/tex]
[tex] m\widehat {BD} =64\degree[/tex]
You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $
for washing 4 cars.
Write the expression as the
sine or cosine of an angle.
cos 3x cos x - sin 3x sin x
The solution of the expression will be Cos(3x+x).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Cos 3x os x - Sin 3x Sin xThe solution will be calculated by using the formula:-
Cos(A+B) = (CosA CosB - SinA SInB)
Cos(3x+x). = Cos 3x os x - Sin 3x Sin x
Therefore the solution of the expression will be Cos(3x+x).
To know more about expression follow
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