Answer:
1. 1. The constraints are as follows -
a) Limited weekly budgets
b) Limited ads requiring that there should be at least 15 and at least 2 ads of each type (Radio and newspaper)
c) Newspaper ad being costly reach larger population segment as compared to the radio ads which is cheaper than newspaper ad but reaches only a small portion of population
2. 6 newspaper adds and 9 radio adds
Step-by-step explanation:
1. The constraints are as follows -
a) Limited weekly budgets
b) Limited ads requiring that there should be at least 15 and at least 2 ads of each type (Radio and newspaper)
c) Newspaper ad being costly reach larger population segment as compared to the radio ads which is cheaper than newspaper ad but reaches only a small portion of population
The objective function
Maximum number of people per week = 6000 * number of newspapaer ads + 2000 * number of radio ads
b) $7,200
Minimum radio adds = 3 this will cost 3 * $400 = $1200
Remaining money = $7200 - $1200 = $6000
Cost of one add of news paper = $ 6000/$600 = 10
But the minimum ads need to be 15
So, If Newspaper adds are reduced to 6, the radio adds will be 9 giving a sum of 15
Select the correct answer.
Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?
A. A'(-10, -4) and C''(-6, -8)
B. A'(-10, -4) and C"(-18, -24)
C. A'(-30, -12) and C"(-18, -24)
D. A'(-30, -12) and C"(-4, -6)
E. A'(-10, -4) and C"(-4, -6)
Answer:
Step-by-step explanation:
D
Answer: the Answer is A'(-30, -12) and C"(-4, -6)
the Answer is D i took the test
Step-by-step explanation:
Dan has grades of 74, 78, 80 on his first three algebra tests. What minimum score does he need to make on his fourth test so that his test average is at least an 80?
Answer: B
Step-by-step explanation:
The minimum score he need to make on his fourth test so that his test average is at least an 80 is 88 .
What is average?The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Average = [tex]\frac{Sum of total data }{Number of data }[/tex]
According to the question
Dan has grades on his first three algebra tests is 74, 78, 80 .
minimum score does he need to make on his fourth test so that his test average is at least an 80
Now ,
Let fourth test score be x .
and minimum average needed is greater than or equal to 80 .
By applying average formula :
Average = [tex]\frac{Sum of total data }{Number of data }[/tex]
substituting the values
80 ≤ [tex]\frac{74 + 78+80+x}{4}[/tex]
320 ≤ 232 + x
88 ≤ x
i.e
x should be greater than or equal to 88
Therefore ,
fourth test score should be greater than or equal to 88 to get average at least 80.
Hence, the minimum score he need to make on his fourth test so that his test average is at least an 80 is 88 .
To know more about average here:
https://brainly.com/question/24057012
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tell whether the given value is a solution of the inequality . 2n > 16; n=9
(please help with this question i will mark you brainliest! )
========================================================
Explanation:
Let's replace n with 9 to see if we get a true inequality or not.
2n > 16
2*9 > 16
18 > 16
We get a true statement since 18 is indeed larger than 16. Therefore, n = 9 is a solution.
------------
Here's another way to tackle the problem:
We can isolate n as if solving an equation. Divide both sides by 2 to do this. The inequality sign does not flip (it only does so if you divide both sides by a negative number).
So we get...
2n > 16
2n/2 > 16/2
n > 8
The solution set is any number larger than 8. Since n = 9 fits the description, that's one of the infinitely many solutions.
------------
Side note: The graph will involve an open hole at 8 and shading to the right on the number line.
HELP WOULD BE APPRECIATED
Solve for n
n - 21 = 3
OA) n=45
OB) n=52
Oc) n= 24
OD) n= 19
Answer:
option C. n = 24
Step-by-step explanation:
n - 21 = 3
n - 21 + 21 = 3 + 21 [adding 21 on both sides ]
n + 0 = 24 [ -21 + 21 = 0 ]
n = 24
. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.
What is the mean of the data set shown below?
{10, 2, 8, 9, 5, 2, 6}
A. 42
B. 7
C. 6
D. 2
Answer:
6
Step-by-step explanation:
mean is the sum of them all followed by dividing how many there are, so 10 plus 2 plus 8 plus 9 plus 5 plus 2 plus 6 divided by 7 is 6
I was wondering if anyone could answer this :)
Step-by-step explanation:
The sides with the variables are the same length, so make them equal.
x+2=2x-3
Get x alone on one side.
5=3x
Simplify.
5/3 = x
Answer:
5
Step-by-step explanation:
x+2 = 2x-3
+3 +3
x+5 = 2x
-x -x
x=5
Hope this helps! :)
find the missing angles
Answer:
b = 34°
Step-by-step explanation:
b + 115° + 31° = 180°
b + 146° = 180
b = 180° - 146°
b = 34°
Answer:
[tex] {b}^{o} = {34}^{o} [/tex]
Step-by-step explanation:
Hint :
Sum of angles = 180°
Simplify :
[tex] {115}^{o} + {31}^{o} + {b}^{o} = {180}^{o} [/tex]
[tex] {146}^{o} + {b}^{o} = {180}^{o} [/tex]
[tex] {b}^{o} = {180}^{o} - {146}^{o} [/tex]
[tex] {b}^{o} = {34}^{o} [/tex]
Hope it is helpful...A pension fund owns 2,600 fewer shares in mutual stock funds than mutual bond funds. Currently, the stock funds sell for $14 per share, and the bond funds sell for $16 per share. How many shares of each does the pension fund own if the value of the securities is $134,600?
Answer:
19413 shares
24787 bonds
Step-by-step explanation:
Stock price = $14 p/s
Bond funds = $16 p/s
Value given = 134,600
2,600 fewer is given for stock
meaning 2.600 is more for bond
134,600 - (16 x 2600)=41600 combined equal shares
Each shares worth; 14+16 = 30
41600 / 30 = 1386.66667 amount combined
1386.66667 x 14 = 19413 shares
1386.66667 x 16 =22186.6667 + 2600 = 24787 bonds
Find the amount of money in an account after 9 years if $2,600 is deposited at 8% annual interest compounded monthly
Answer:
5328.78
Step-by-step explanation:
formula:
[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]
this rounds to 5328.78
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 = 2 × 1
6 = 2 × 3
GCF = 2
[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{\frac{1}{3}}[/tex]
»»————- ★ ————-««
Here’s why:
We would take the GCF of the two numbers in order to simplify.⸻⸻⸻⸻
[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Carlos earns $20 for cutting his neighbor’s lawn. It took him 212 hours. Marie earns $46 selling lemonade at a farmer’s market for 534 hours. Who earns more per hour?
Answer:
Marie earns more per hour
Step-by-step explanation:
Carlos earns $10.06 per hour
Marie earns $11.00 per hour
46-20=26
Marie earns more money per hour
See the picture and do the given questions
a. 66
b. 100
c. 100
Hope this helps! :)
Let XX be a random variable that is equal to the number of heads in two flips of a fair coin. What is \text E[X^2]E[X 2 ]
Answer:
Step-by-step explanation:
From the given information, it is likely that the random variable(X) have the values below:
Let head be H
Let tail be T
So;
X(HH) = 2;
X(HT) = 1;
X(TH) = 1;
X(TT) = 0
The distribution can now be computed as:
[tex]p(X= TT) = \dfrac{1}{4}[/tex]
[tex]p(X=TH) = \dfrac{1}{4}[/tex]
[tex]p(X=HT) = \dfrac{1}{4}[/tex]
[tex]p(X=HH)= \dfrac{1}{4}[/tex]
Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:
[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]
[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]
[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]
[tex]E(X) =\dfrac{1+1+2}{4}[/tex]
[tex]E(X) =\dfrac{4}{4}[/tex]
E(X) = 1
[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]
[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]
[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]
[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]
[tex]E(X^2) =\dfrac{6}{4}[/tex]
[tex]E(X^2) =1.5[/tex]
Finally; To compute E²[X]
E²[X] = E[X]²
E²[X] = 1²
E²[X] = 1
Question 7 (5 points)
Simplify 32 + 8 x 4.
A) 38
B) 60
C) 31
身
D) 41
Answer:
64
Step-by-step explanation:
32 + 8 x 4.
PEMDAS says multiply first
32 + 32
Then add
64
Answer: the answer is 41
step-by-step explanation:
so first u start by mutiplying 8x4
den u add 3^2 just so u know its not the number 32 its 3 over 2
and u get 41
A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.
A)
300 cm3
B)
64.1 cm3
C)
942.5 cm3
D)
314.2 cm3
Answer:
D. V=314.2cm³
Step-by-step explanation:
The volume of the cone is:
V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³
Answer: D) 314.2 [tex]cm^3[/tex]
Step-by-step explanation:
The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
r is the radius and h is the height/altitude.
We can sub these values in and solve
[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]
Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate
[tex]V=(100)(3.14)\\V=314[/tex]
The volume is about 314.
Our closest answer to that is D so that is the correct choice.
For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
A. K - 3x-7
B. 3x - 17
c. -x + 3x + 7
D. -x + 3x - 5
SUBND
Answer:
c. -x + 3x + 7 = 2x+7
Step-by-step explanation:
f(x) = 3x +1 and g(x) = x - 6
f-g = 3x +1 - ( x - 6)
Distribute the minus sign
= 3x+1 - x+6
= 2x +7
Complete the remainder of the table for the given function rule:
Y=3x-5
[X] -6 -3 0 3 6
[Y] -23 ? ? ? ?
answer is
(Y)=-23,-14, -5,4,13
hope this will help you
2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there were 3 marbles left over. What is the fewest number of marbles that Janet could have had in her collection?
Answer:
23 marbles
Step-by-step explanation:
3 groups of 7 = 21 +2 = 23
4 groups of 5 = 20 +3 = 23
James invested £2000 for three years in an Internet Savings Account.
He is paid 5.5% per annum compound interest.
Work out the total interest earned after three years
Answer:
£2348.48
Step-by-step explanation:
We can use the “slow method” for this, seeing it’s only 3 years.
£2000 * 105.5% = 2110 * 105.5% = 2226.05 * 105.5% = 2348.48
(105.5% = 1.055, by the way)
After the initial calculation, you can use Ans * 1.055 until you’ve hit the three years.
Which word expression represents the algebraic expression shown?
12 – 3x
The difference between twelve and three times a number.
Hope this helps! :)
4) 2 2/3 yards feet * O 8 feet O 6 feet O 2 feet O 7 feet
Answer:
your mom
Step-by-step explanation:
u gonna fail just give up on life
Analyze the diagram below and complete the instructions that follow.
Answer:
C).
[tex]= \sqrt{ {16}^{2} + {30}^{2} } \\ = \sqrt{1156} \\ = 34 \\= \sqrt{ {34}^{2} + {5}^{2} } \\ = \sqrt{1181} \\ = 34.37[/tex]
I need help now plzzzzxz
Answer:
the last one
Step-by-step explanation:
there are 3 negative sings for that
is 3(6x + 1) and 21x
equivalent?
explain why
Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other
Step-by-step explanation:
I need help with this math question
Answer:
the scale factor is 3. hope this helps
Answer:
3
Step-by-step explanation:
you can set up a ratio using corresponding parts from each triangle.
or
notice the change from 3 to 9 is by multiplying 3 x 3
the change is the same for all : 3 x 4 = 12 , 3 x 5 = 15
ratio way
[tex]\frac{new}{old\\}[/tex] = [tex]\frac{9}{3}[/tex] = 3
f(x)=-2x^2 -3, find f(0)
Answer:
Step-by-step explanation:
It's -3
find the value of x. round your answer to the nearest tenth.
9514 1404 393
Answer:
x ≈ 13.7
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(58°) = 22/x
x = 22/tan(58°) ≈ 13.747
The value of x is about 13.7 units.
Can someone Help me please.?
Answer:
Option D
Hope this helps!
a net ball team won 24 out of 40 matches. what percentage of the match did the team win
Answer:
60%
Step-by-step explanation:
[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]
[tex]\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}} \\ [/tex]
[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]
so answer is 60%
