The constraints that describe the system of inequalities in this problem are given as follows:
7x + 2y ≥ 37.4x + 12y ≥ 32.How to obtain the constraints?The first step toward obtaining the constraints is defining the variables, as follows:
Variable x: minutes of business/investment program ads.Variable y: minutes of sporting events ads.Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:
7x + 2y ≥ 37.
They also want to reach at least 32 million men, hence the constraint is given as follows:
4x + 12y ≥ 32.
The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.
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help here's a pic on the problem
The linear function that shows the proportional relationship between the distance and time is d = 100t
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line'b' is the y-intercept of the line'x' is the independent variable'y' (or f(x)) is the dependent variableFrom the table given, we can find the slope of the function by using the formula
m = y₂ - y₁ / x₂ - x₁
m = 300 - 200 / 3 - 2
m = 100
To find the y - intercept,
y = mx + c
300 = 100(3) + c
300 = 300 + c
c = 300 - 300
c = 0
The equation that shows the relationship is
d = 100t
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<1 and <2 form a linear pair. If m<1 = (4x + 12)°
and m<2 = (6x - 2), find the measure of each
angle.
Answer: x = 17
Step-by-step explanation:
The probability that Renee will win the race is 0.125.
What are the odds that he will win the race?
a. 1:7
b. 1:5
c. 1:8
d. 3:5
Answer:
c
Step-by-step explanation:
the answer is c.
.
.
.
.
.
.
Answer:
A. 1:7
Step-by-step explanation:
Just took the test
Find the surface area
3yd
3yd
8yd
Answer: 72
Step-by-step explanation: 3 x 3 x 8 = 72
3 x 3 = 9
9 x 8 = 72
Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.
The total amount remaining after the deduction of $14.5 from $290.34 is $275.823.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.
As we know that there will be a 5% of deduction of tax,
Calculate the amount after the tax deduction,
Amount = 5 / 100 × $290.34
Amount = $14.5
The remaining amount after tax deduction = 290.34 - 14.5 = $275.823
Therefore, the total amount remaining after the deduction is $275.823.
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The complete question is:
Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances. Find the total amount after deduction.
I need help with this please help me
Answer: 18
Step-by-step explanation:
[tex]\triangle HJK \cong \triangle HLK[/tex] by HL. Therefore, [tex]JK=2[/tex] by CPCTC.
Using the segment addition postulate, [tex]GK=9[/tex].
Furthermore, [tex]\triangle HGK \cong \triangle HMK[/tex] by HL. This means that [tex]MK=9[/tex] by CPCTC.
Using the segment addition postulate again, [tex]GM=9+9=18[/tex].
hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. a
The given statement would be "false".
What is the quick ratio?A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.
As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.
Thus, the given statement would be "false".
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The question seems to be incomplete the correct question would be:
Find the statement true or false.
If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)
The price of a gallon of unlead gas has risen to $2.88 today. yesterdays price was $2.83. Find the percentage increase. Round your answer to the nearest tenth of a percent.
If fx)=1/9x-2, what is f¹(x)?
0 f¹(x)= 9x + 18
0 f¹(x)= 1/9x+ 2
0 f¹(x)= 9x+2
0 f¹(x)= -2x + 1/9
Answer:
f⁻¹(x)= 9x + 18
Step-by-step explanation:
1. Replace f(x) with x, and x with y: x=1/9y-2
2. Solve for y:
x=1/9y-2
9x=y-18
9x+18=y
3. Replace y in step 2 with f⁻¹(x)
{ | ∈ and 3 ≤ < 9} ROOSTER MODE
The rooster form of the given set is {3, 4, 5, 6, 7, 8}
What is the rooster form of set?The contents of a set can be described by listing the elements of the set, separated by commas, inside a set of curly brackets. This way of describing a set is called roster form.
Given a set, {I ∈ ≤3<9}
Converting in rooster form, {3, 4, 5, 6, 7, 8}
Hence, The rooster form of the given set is {3, 4, 5, 6, 7, 8}
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The value of a brand new car depreciates 10% when leaving the agency and another 5% after the first year of use. After one year of use, the value of a certain automobile is $51,300.00. Which of the following mathematical expressions correctly represent the value (x) of this automobile zero km? x times open parentheses 0 comma 10 plus 0 comma 05 close parentheses equals 51300 double right arrow x equals 342000 x times open parentheses 0 comma 90 plus 0 comma 95 close parentheses equals 51300 double right arrow x equals 26308 x equals 51300 plus 51300 over 10 plus 51300 over 5 double right arrow equals 66690 x equals 51300 minus open parentheses 51300 over 10 plus 51300 over 5 close double right arrow x equals 35910 x times 0 comma 90 times 0 point 95 equals 51300 double right arrow x equals 60000
The value of the car zero km is given by the expression x = 60000.
LET ME EXPLAIN SOMETHING:
An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.
LET'S GO TO THE SOLUTION:
Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:
When you leave the agency, your value decreases by 10%:
x·(100% - 10)% = 90% of x = 0.9xAfter a year, its value decreases by 5%:
0.9x·(100% - 5)% = 95% of 0.9x = 0.855x0.855x = 51300
x = 60000
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https://brainly.com/question/953809If a=3 and b=-2i, then find the value of the ab^{2} in fully simplified form.
[tex]i = \sqrt{-1}[/tex]
Solving the QuestionWe're given:
a = 3b = -2i[tex]ab^2[/tex] = ?[tex]ab^2[/tex]
⇒ Plug in the values for a and b:
[tex]=(3)(-2i)^2[/tex]
⇒ Rewrite i as [tex]\sqrt{-1}[/tex]:
[tex]=(3)(-2\sqrt{-1})^2[/tex]
⇒ Simplify:
[tex]=(3)(-2)^2(\sqrt{-1})^2\\=(3)(4)(-1)\\=-12[/tex]
Answer-12
In a class, the ratio of girls to boys is 2:3. There are 12 boys in the class. How many women are in the class?
Group of answer choices
1. 13
2. 18
3. 8
4. 11
Answer:
8
Step-by-step explanation:
Because we multiply 4 by both sides
2 times 4 is 8 for girls
4 times 3 is 12 for boys
So it asked for girls and 4 times 2 is 8
So the answer is 8
8 women are in the class.
10. The function y = -3 x+44 represents the amount of money left in your school lunch account y (in dollars) after x days.
a. Identity the independent and dependent variable.
b. After 10 days, how much money is left in your account.
The domain of the equation is 10 days and the range is the $14 left in the account.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
a) The independent variable in this problem is the number of days, represented as x. The amount of money left, the y variable is the dependent variable since it depends on the number of days left (x).
b) If there are 10 days left, we can plug it into the given equation to find the balance in the account.
y = -3x + 44
y = -3(10) + 44
y = -30 + 44
y = 14
Hence, the domain of the equation is 10 days and the range is the $14 left in the account.
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solve for U
3u − –2 = 8
U=
The midpoint of AB is M (3, -1). If the coordinates of A are (8, 4), what are the coordinates of B?
Joey walks 4 kilometers to soccer practice. How many meters does he walk?
Answer:
ANSWER
Step-by-step explanation:
1 kilometer = 1000 meters.
4 kilometer times 1000 meters = 4000 meters
Answer: 4000 meters
Step-by-step explanation:
4 x 1000 = 4000
-14x - 6 + 8 What is the answer???
Answer:
The answer is 2-14x or
-12x
Approximately 71% of the Earth’s surface is water. The total surface area of the Earth is approximately 5.1 x 1014 m2. How many square meters of the Earth’s surface is not water?
Answer:
1.5 × 10^14 m²
Step-by-step explanation:
71% of the surface is covered with water.
The total surface of the Earth is 100% of the surface.
100% - 71% = 29%
29% of the surface is not covered with water.
29% of 5.1 × 10^14 m² =
= 0.29 × 5.1 × 10^14 m²
= 1.479 × 10^14 m²
= 1.5 × 10^14 m²
7x - 10y = 28
7x - 3y = 28
Answer:
(4, 0)
Step-by-step explanation:
7x - 10y = 28
7x - 3y = 28
------------------
(7x - 10y = 28) × -1
-7x + 10y = -28
--------------------------
-7x + 10y = -28
7x - 3y = 28
--------------------------
7y = 0
y = 0
7x - 10y = 28
7x - 10(0) = 28
7x = 28
÷7 ÷7
----------------
x = 4
(x, y)
(4, 0)
I hope this helps!
x-intercepts for 7x - 10y = 28:
(4,0)
y-intercepts:
(0, -14/5)
x-intercepts for 7x - 3y = 28:
(4, 0)
y-intercepts:
(0, -28/3)
Step-by-step explanation:I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )
The coordinates of the points are given as follows:
Point Z: (3,5).Point P: (6,2).Point T has coordinates (1,4).The coordinates of the fourth vertex are of:
(4,1).
What are the ordered pairs?The notation of an ordered pair is given as follows:
(x-coordinate,y-coordinate).
The x-coordinate is the horizontal movement, defined as follows:
Right: positive x-coordinate.Left: negative x-coordinate.The y-coordinate is the vertical movement, defined as follows:
Up: positive y-coordinate.Down: negative y-coordinate.The equivalent sides on a rectangle are congruent, hence the equivalent sides are:
TZ and PM.
Hence the missing coordinate M is:
1 unit down from P, hence y = 2 - 1 = 1.2 units left from P, 6 - 2 = 4.More can be learned about ordered pairs at brainly.com/question/1528681
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Cheese Pizza Sales for January
Location: Number Sold
Downtown
1,356
998
1,824
Westland
Answer:
this is the answer hope it's right 1,356
How many ways can 5 couches snd 7 beds be chosen from a shipment off 11 couches shipme b ts and 10 bed shipments
The number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that, the total number of couches and beds will be 11 and 10.
We have to find a number of ways for the 5 couches and 7 beds are chosen from a shipment.
The different methods are there to select 5 couches and 7 beds from a shipment of 11 couches and 10 beds obtained as,
=11C₅× 10C₇
=462×120
=55440
Thus, the number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440
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Find the distance between (−7, 2) and (−6, 3). Round your answer to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]
Step-by-step explanation:
Points:[tex](x_1,y_1)=(-7,2)[/tex][tex](x_2,y_2)=(-6,3)[/tex]Distance Formula:Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Put the above points in the formula.
[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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HELP PLEASE this is urgent
Answer:
10.5 cm
Step-by-step explanation:
YZ corresponds to TU
YZ:TU = 9:3 = 3:1
XY corresponds to ST
ST = 3.5 cm
XY:ST = 3:1
XY/ST = 3/1
XY/3.5 cm = 3
XY = 10.5 cm
Last year, 769 of the 1,307 residents in a small town owned more than one vehicle.
Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle.
HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.
Answer:
no, it isn't symmetrical
Step-by-step explanation:
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If angle 1 is 25 degrees in the parallelogram pictured above, what is angle 2
if q is 1x+ 10 and AC is 7x+8 what is the length of AC? Round your answer to the nearest hundredth
Applying the properties of a parallelogram:
1. Length of AC = 24.8 units
2. x = 1
What are the Properties of a Parallelogram?Some properties of parallelogram we need to recall in order to solve the problem given are:
They have two pair of sides that are parallel to each other and also of the same length.They have two diagonals that bisect each other into equal halves.1. q = 1x + 10
AC = 7x + 8
Therefore:
q = 1/2(AC) [based on the property of a parallelogram]
Substitute
x + 10 = 1/2(7x + 8)
Solve for x
2(x + 10) = 7x + 8
2x + 20 = 7x + 8
2x - 7x = -20 + 8
-5x = -12
x = -12/-5
x = 2.4
Length of AC = 7x + 8 = 7(2.4) + 8
Length of AC = 24.8 units
2. x + 8 = 7x + 2 [based on the property of a parallelogram]
x - 7x = -8 + 2
-6x = -6
-6x/-6 = -6/-6
x = 1
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