Answer:
C
Step-by-step explanation:
If that's wrong it's D
Answer:
C.
Step-by-step explanation:
If it is a product, that is a way to say that it is multiplication. Since the product is 27, the answer is 27. So what multiplied by -3 equals to 27? To write this, you have to multiply -3 by n to get 27.
A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog food last?
Answer:
18 days
Step-by-step explanation:
2 1/3 just 7/3. Next, divide 42 by 7/3 which is just 42/1 times 3/7 which gives you 18.
A mechanic charges $55 for an engine check and $25 per hour foe his services. Which of the following is a linear model of his charges
Answer:
y=25x+55. $55 is a one-time fee while the $25 is per hour
A square-based, box-shaped shipping crate is designed to have a volume of 16 cubic ft. The material used to make the base costs twice as much (per square foot) as the material in the sides, and the material used to make the top costs half as much (per square foot) as the material in the sides. What are the dimensions of the crate that minimize the cost of materials
Answer:
Step-by-step explanation:
dimension
base=x, height =y, as they both are length so x, y >0
Volume of the crate= [tex]x^2y[/tex] = [tex]16ft^3[/tex]
cost
base=b unit money /[tex]ft^2[/tex]
side material = b/2 unit money /[tex]ft^2[/tex]
Top view= b/4 unit money /[tex]ft^2[/tex]
Total Cost=[tex]bx^2 + \frac{b}{2} *4xy + \frac{b}{4} *x^2[/tex] = [tex]2b( \frac{5}{8} *x^2 + xy)[/tex]
function to be minimized = [tex]\frac{5}{8}*x^2 + xy\\[/tex] , [tex]x^2y =16[/tex]
put [tex]y=16/x^2[/tex]
f(x) = [tex]\frac{5}{8}*x^2 + x*\frac{16}{x^2}[/tex]
upon differentiating this equation
f'(x)=0
[tex]\frac{5}{4}*x -16x^-2 = 0[/tex]
upon solving this we get [tex]x=4/\sqrt[3]{5}[/tex] [tex]y= \sqrt[3]{25}[/tex]
and further testing we get f"([tex]\frac{4}{\sqrt[3]{5} }[/tex]) >0 which proves that the point is local minimum.
Hence these are the dimensions of crate that minimizes the cost of material.
The dimensions that minimize the total cost of making the surface materials are [tex]2.3ft \text{ by } 2.3ft \text{ by }2.9ft[/tex]
[tex]T=\text{Total cost of materials}\\m_b=\text{unit cost of materials used to construct the base}\\m_t=\text{unit cost of materials used to construct the top}\\m_s=\text{unit cost of materials used to construct the sides}[/tex]
from the question, the crate has a square base and the volume is [tex]16ft^3[/tex]. So,
[tex]V=l^2h=16\\\implies h=\frac{16}{l^2}[/tex]
Also,
[tex]m_b=2m_s\\m_t=\frac{m_s}{2}[/tex]
Construct the formula for [tex]T[/tex],
[tex]T=l^2\times m_b + l^2 \times m_t+4lh\times m_s[/tex]
[tex]\text{where } l=\text{length of side of base/top}\\h=\text{height}[/tex]
Eliminating [tex]h, m_b, \text{ and }m_t[/tex], we have
[tex]T=m_s(\frac{5l^2}{2} + \frac{64}{l})[/tex]
differentiating wrt [tex]l[/tex] ([tex]m_s[/tex] is a constant), we have
[tex]\frac{dT}{dl}=m_s(5l-\frac{64}{l^2})[/tex]
The minimum total cost occurs when
[tex]m_s(5l-\frac{64}{l^2})=0[/tex]
or, when
[tex]l=\frac{4}{\sqrt[3]{5}} \approx 2.3[/tex]
(On carrying out the second derivative test, [tex]\frac{d^2T}{dl^2}>0[/tex] when [tex]l=\frac{4}{\sqrt[3]{5}}[/tex])
[tex]h=\frac{16}{l^2}=\sqrt[3]{5}^2\approx 2.9[/tex]
Therefore, the dimensions that minimize the total cost of making the surface materials are [tex]2.3ft \text{ by } 2.3ft \text{ by }2.9ft[/tex]
Another solved minimization problem can be found in the link: https://brainly.com/question/17116786
Help ASAP). Graph the function: Look at the picture for the problem. Brainliest Answer. Show me points of graph paper so I can see
[tex]the \: points \: are: \\ (−1, \: 0) \\ (1, \: 2) \\ (4, \: 2)
\\
Step-by-step \: explanation: \\ \\
f(x) = x + 1 \: ....if \: x < 0 : \iff \: ( - 1, \: 0) \\ if \: x = - 1 \: then \: y = 0\\ \\ f(x) = 2 \: ....if \: 0 . \leqslant x \leqslant 1 :\: \iff( 1, \: 2) \\if \: x = 1\: then \: y = 2. \\ \\ f(x) = x\: ....if \: x > 1 : \: \iff( 2, \: 2) \\ if \: x=2 \: then \: y=x=2.[/tex]
♨Rage♨
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 13 lawyers to the case and was able to charge the client $8800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Answer:
see below
Step-by-step explanation:
Variables:
Associate: a
Partner: p
Equations:
400a + 1000p = 8800
a + p = 13
Solve:
a + p = 13
a = 13 - p
400a + 1000p = 8800
400(13 - p) + 1000p = 8800
5200 - 400p + 1000p = 8800
5200 + 600p = 8800
5200 + 600p = 8800
600p = 3600
p = 6 partners
a = 13 - p
a = 13 - 6
a = 7 associates
The required number of associates is 7 and the number of partners is 6.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the number of associated be x and the number of partners is y,
According to the question, x + y = 13
x = 13 - y - - - -- - - - - (1)
400x + 1000y = 8800 - - - - - - - - - -- (2)
From equation 1
400 (13 - y) + 1000y = 8800
4(13 - y) + 10y = 88
52 - 4y + 10y = 88
6y = 88 - 52
6y = 36
y = 6
Now, from equation 1
x = 13 - 6
x = 7
Thus, the required number of associates is 7 and the number of partners is 6.
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Hi guys im subtracting integers what is 17-12
Answer:
10
Step-by-step explanation:
I’m joking it actually 5
Answer:
5....?
Step-by-step explanation:
A softball pitcher has a 0.487 probability of throwing a strike for each pitch. If the softball pitcher throws 29 pitches, what is the probability that no more than 14 of them are strikes? Insert the correct symbol to represent this probability.
Answer:
P(x≤14) = 0.556
Step-by-step explanation:
Given:
Probability of throwing a strike (p) = 0.487
Total number of throw (n) = 29
Find:
Probability that no more than 14 of them are strikes P(x≤14)
Computation:
Mean(np) = (29)(0.487)
Mean(np) = 14.123
Standard deviation = √[mean( 1- p)]
Standard deviation = √[14.123( 1 - 0.487)]
Standard deviation = 2.6917 (Approx)
P(X < x) = P[(Z < (x - mean)]/[Standard deviation])
P(x≤14) = P(Z < (14.5 - 14.123) / 2.6917 )
P(x≤14) = 0.556
help please asap lol
Answer:
The measure of angle F is 78°.
Let X be a random variable with mean 6.1 and variance 2.4. Let Y be a random variable with mean 7.5 and variance 3.2. Find the variance of Z, Var(Z).
Answer:
Var(z)= 8.122 if Z= z1+z2
Step-by-step explanation:
IF x and Y are independent then Cov(x,y)= 0
Var(x+y) = Var X + Var y + 2cov(x,y)
= 2.4 + 3.2 +0 = 5.6
Z1= X - E (X)/ √Var (X) and Z2 = Y - E(Y)/ √Var Y
Var (z1+z2) = Var (z1) + Var(z2) + 2Cov (z1,z2)
Cov (z1,z2)= E(z1,z2) - E(z1) E(z2)
= E(z1,z2) [as E(z1) E(z2)= 0]
= E {[ X-E(X)] [Y-E(Y)]/ √Var(X) Var(y)}
= E{[ X- 6.1][Y- 7.5]/√2.4(3.2)}
= E {xy-7.5x -6.1y +45.75]/ 2.771}
={ 6.1(7.5) - 7.5(6.1) - 6.1(7.5) + 45.75]/ 2.771}
= 0/2.771
= 0
Var (z1+z2) = Var (z1) + Var(z2)
= {E (X)/ √Var (X)} +{ Y - E(Y)/ √Var Y}
= {6.1/√2.4 } + {7.5/√3.2}
= 3.93+ 4.19
=8.122
PLease help. will give brainliest to right answer
Answer:
the second bubble, [tex]\frac{1}{6^{2} }[/tex]
Step-by-step explanation:
[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]
Answer:
1/6^2
the second one
Step-by-step explanation:
1. replace a with 6:
6^-2 6 to the power of negative two
2. solve;
when you have something to the power of a negative number, it gets smaller, so think: what is 6^2? (six to the power of two) That is 36. As a fraction, that would be 36/1. Since the 2 is negative, flip it to get 1/36.
1/6^2 and 1/36 are equal since 6^2 = 36
Hope this helps :)
4) u= 6a + 2b, for a
What is the solution for A?
Answer:
a = (u-2b)/6
Step-by-step explanation:
First get a by itself by subtracting 2b from both sides:
u-2b = 6a
Then isolate the variable by dividing both sides by six:
(u-2b)/6 =a
Simplify the expression!
3/4(z+2/5)+2z =?
thank you for your help btw!!
The solution of the expression is (55z + 6 ) / 20.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that the expression is 3/4(z+2/5)+2z. The expression will be solved as below,
E = 3/4(z+2/5)+2z
E = 3/4( z + 2 / 5 ) + 2z
E = 3/4 ( 5z + 2) / 5 + 2z
E = ( 15z + 6 + 40z ) /20
E = (55z + 6 ) / 20
Therefore, the solution of the expression is (55z + 6 ) / 20.
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9.5 -9.45 suntract and decimales
Answer:
its 0.05
Step-by-step explanation:
A decision maker is interested in estimating a population proportion. A sample of size n150 yields 115 successes. Based on these sample data, construct a 90% confidence interval estimate for the true population proportion. A. (0.714, 0.826) B. (0.717, 0.823) C. (0.750, 0.790) D. (0.737, 0.803)
A. (0.714, 0.826)
Step-by-step explanation:
Given that:
The sample size n = 150
The number of success(sample proportion) x = 115
The population proportion [tex]\hat p[/tex] = [tex]\dfrac{x}{n}[/tex]
The population proportion [tex]\hat p[/tex] = [tex]\dfrac{115}{150}[/tex]
The population proportion [tex]\hat p[/tex] = 0.767
At 90% confidence interval level;
[tex]Z_{\alpha /2} = Z_{0.05} = 1.645[/tex]
Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:
[tex]=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{.0011914}[/tex]
[tex]= 0.767 \ \pm 1.645 * 0.03452[/tex]
[tex]= 0.767 \ \pm 0.0568[/tex]
= (0.767 - 0.0568, 0.767 + 0.0568)
= (0.7102 , 0.8238 )
Due to approximation; the confidence interval estimate for the true population proportion is [tex]\simeq[/tex] (0.714, 0.826)
A copy machine can print 480 copies every 4 minutes. A teacher printed 720 copies. How long did it take to print?
Answer:
10 min.
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
There is a rope it is divided into three piece it is divided into a ratio of 2 to 3 to 4 the biggest piece is 16 . What is the length of the original rope .
Answer:
I think the answer is 25.
Step-by-step explanation:
All you need to do is add up all the numbers
also aren't you in college!!!!28.98 = ___ x 10 to the what power?
Answer:
well if you do 2.898x10 you get 28.98.
Step-by-step explanation:
3. Using exponents, what is the simplified form of (–2x2 y3)3???
Answer:
[tex]-8x^{6}y^{9}[/tex]
Step-by-step explanation:
[tex] (-2x^2y^3)^3 = [/tex]
[tex] = (-2)^3(x^2)^3(y^3)^3 [/tex]
[tex] = -8x^{2 \times 3}y^{3 \times 3} [/tex]
[tex] = -8x^{6}y^{9} [/tex]
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Answer:
y=-3/4+7
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
4-7/4-0=
-3/4
and line intercepts at 7
Pack of 50 stickers costs 4.50 what the uniy price
4. Calculate the probability that an officer is promoted given that the officer is a man. 5. Calculate the probability of a promotion given that the officer is a woman
Answer:
4. Probability of being promoted given the officer is a man = 0.3
5. Probability of a promotion given that the officer is a woman = 0.15
Note: The data table is found in the attachment below
Step-by-step explanation:
Probability = number of required outcomes/ number of possible outcomes
4. Probability of being promoted given the officer is a man
Probability of being promoted given the officer is a man = number of men promoted/total number of men
From the table, total number of men = 960
number of men promoted = 288
Probability of being promoted given the officer is a man = 288/960 = 0.3
5. Probability of a promotion given that the officer is a woman
Probability of a promotion given that the officer is a woman = number of women promoted/total number of women
From the table, total number of women = 240
number of women promoted = 36
Probability of a promotion given that the officer is a woman = 36/240 = 0.15
10( x+1/2)=3x+5+7x
Please help
Answer:
All real numbers are solutions
Step-by-step explanation:
10(x + 1/2) = 3x + 5 + 7x
~Distribute left side
10x + 5 = 3x + 5 + 7x
~Combine like terms
10x + 5 = 10x + 5
~Subtract 5 to both sides
10x = 10x
~Divide 10 to both sides
x = x
~Subtract x to both sides
0 = 0
Best of Luck!
Johnathan is 5 years younger than his brother Paolo. The sum of the brothers ages is 47. How old is Johnathan
Step-by-step explanation:
let, the age of Jonathan be X and Paolo be X+5,
then,
x+x+5=45
2x=40
x=20
: Therefore the age of Jonathan is 20 and Paolo is 20+5=25.
If Johnathan is 5 years younger than his brother Paolo. The sum of the brothers ages is 47. Then Johnathan is 21 years old.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
The sum of the brothers ages is 47.
Let the age of Paolo is x
Johnathan is 5 years younger than his brother Paolo
Johnathan age=x-5
As given, sum of the brothers ages is 47.
x+x-5=47
2x-5=47
2x=47+5
2x=52
Divide both sides by 2
x=26
So the age of Paolo is 26 and Jaohnathan age is 26-5=21 years.
Hence Johnathan is 21 years old.
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How many is (+5) --(692)+1/3%
Answer:
730.3
Step-by-step explanation:
hope this helps.
What division problem does the model represent?
Divided by one-third
The quotient is .
Answer:
the real answer is
5/3
divided by 1/3
and the quotient is
5
this is the real answer
Step-by-step explanation:
From the diagram attached, the divison operation represented by the model is [tex]\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}[/tex]
Each partition = 0.25 = 1/4 Number of shaded partitions = 7Number of partitions per rectangle = 4The Fraction of shaded partitions = 7(1/4) = 7/4
Half of each rectangle is circle = 1/2
Hence, the divison exemplified by the model is :
Fraction of shaded partition ÷ Circled portion
[tex]\frac{7}{4} \div \frac{1}{2}[/tex]
Take the reciprocal of 1/2 and change sign to multiplication :
[tex]\frac{7}{4} \times \frac{2}{1} = 3 \frac{1}{2}[/tex]
Therefore, the division problem represented by the model is [tex]\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}[/tex]
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Wanda's homework was to find 73% of $400
A tape diagram. 0 dollars is 0 percent. Question mark dollars is 73 percent. 400 dollars is 100 percent. (7.3) (400) = 2,920. 73 percent of 400 dollars is 2,920 dollars.
What error did Wanda make?
O None. Wanda’s work is correct.
O Wanda converted the percent to a decimal incorrectly. It should be 0.073.
O Wanda converted the percent to a decimal incorrectly. It should be 0.73.
O Wanda has the wrong label. It should be hours, not dollars.
btw im asking these questions for people who doesnt have these questions
Answer: C because she went back to im just trying to help the team out
Answer:
(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.
I answer (C) and it was correct.
Step-by-step explanation:
Give the other person brainliest ↑↑
hope it helps
AB = 4x + 6 and BC = 72 + 15. if AC = 120, find the length of segment AB.
Answer:
AB=33, x=6.75
Step-by-step explanation:
In order to solve this equation, draw a line with three points labeled A, B, and C. Then fill out what you know with the given information being AB=4x+6 and BC=72+15, then AC=120. then follow these steps:
Write the following equation: 4x+6+72+15=120Add like terms: 4x+93=120Subtract 93 from both sides, isolating the variable (x): 4x=27Divide both sides by 4 to get x=6.75Now that we know that x=6.75, follow these steps:
Plug in x to the equation: 4(6.75)+6 to find the length of AB, and the answer would be 33.I hope this helps!!!
What is f(g(x)) when f(x) = x ^ 2 + 5 , and g(x) = 10 - 5x ?
A function f (x) and g (x) then:
(f + g) (x) = x² - x + 6
Further explanation
Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.
Suppose a function f (x) and g (x) then:
(f + g) (x) = f (x) + g (x)
(f + g) (x) is a new function of the sum of f (x) and g (x)
Likewise with other function operations:
(f-g) (x) = f (x) - g (x)
(fg) (x) = f (x) x g (x)
(f / g) (x) = f (x) / g (x)
In addition to the above operations we can combine two functions using the function composition with the symbol o
(fog) (x) = f ((g (x))
Known on the question
f (x) = x² + 1
g (x) = 5 x
Summing the two functions f (x) and g (x):
(f + g) (x) = f (x) + g (x)
(f + g) (x) = x² + 1 + 5 - x
(f + g) (x) = x² - x + 6
What is the value of x in f(x)=x/3-1/6,when f(x)=0.5
Which fration is equvalent to 12 1/12
Answer:12 2/24
If this helped please leave a brainliest it would really help out!