Answer:
1437.3 cm^3 is the volume of sphere whose radius is 7cm
A plumber charges $50 for the first visit plus $8 per hour of work. If the total bill is $290, how many hours did the plumber work?
30 hours
40 hours
80 hours
None of these choices are correct.
Answer:
Step-by-step explanation:
50 + 8x = 290
8x = 240
x = 30 hours
If 2(x + 3) - 27 = 3[7 - 2(x + 19)], what is 2x - 5?
Answer:
D = -23
Step-by-step explanation:
Answer:
D) -23
Step-by-step explanation:
Definitely
A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital.
p(x,y)=2500x1/5y1/5
Find:
1. Number of units produced with 26 units of labor and 1333 units of capital.
2. Marginal productivities.
3. Evaluate the marginal productivities at x=25, and y=1333
Answer:
(a) 20226 units
(b) Marginal productivities
[tex]P_x =2500x^{-\frac{4}{5}} & y^\frac{1}{5}[/tex]
[tex]P_y =2500 x^\frac{1}{5} y^{-\frac{4}{5}}[/tex]
(c) Evaluation of the marginal productivities
[tex]P_x =803[/tex]
[tex]P_y = 15[/tex]
Step-by-step explanation:
Given
[tex]P(x,y) = 2500x^\frac{1}{5}y^\frac{1}{5}[/tex]
Solving (a): P(x,y) when x = 26 and y = 1333
[tex]P(x,y) = 2500x^\frac{1}{5}y^\frac{1}{5}[/tex] becomes
[tex]P(26,1333) = 2500*26^\frac{1}{5}*1333^\frac{1}{5}[/tex]
[tex]P(26,1333) = 20226[/tex] --- approximated
Solving (b): The marginal productivities
To do this, we simply calculate Px and Py
Differentiate x to give Px, so we have:
[tex]P(x,y) = 2500x^\frac{1}{5}y^\frac{1}{5}[/tex] becomes
[tex]P_x =2500 * x^{\frac{1}{5}-1} & y^\frac{1}{5}[/tex]
[tex]P_x =2500 * x^{-\frac{4}{5}} & y^\frac{1}{5}[/tex]
[tex]P_x =2500x^{-\frac{4}{5}} & y^\frac{1}{5}[/tex]
Differentiate y to give Py, so we have:
[tex]P(x,y) = 2500x^\frac{1}{5}y^\frac{1}{5}[/tex] becomes
[tex]P_y =2500 * x^\frac{1}{5} & y^{\frac{1}{5}-1}[/tex]
[tex]P_y =2500 x^\frac{1}{5} y^{-\frac{4}{5}}[/tex]
Solving (c): Px and Py when x = 25 and y = 1333
[tex]P_x =2500x^{-\frac{4}{5}} & y^\frac{1}{5}[/tex] becomes
[tex]P_x =2500 * 25^{-\frac{4}{5}} * 1333^\frac{1}{5}[/tex]
[tex]P_x =803[/tex] --- approximated
[tex]P_y =2500 x^\frac{1}{5} y^{-\frac{4}{5}}[/tex] becomes
[tex]P_y =2500 * 25^\frac{1}{5} * 1333^\frac{-4}{5}[/tex]
[tex]P_y = 15[/tex]
Im asking a question because yes
+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
ANSWER WITH A, B, C, OR D.
A fruit stand has to decide what to charge for their produce. They need $10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Choose 1 answer:
A
Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B
Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C
No; the system has many solutions.
D
No; the system has no solution.
Answer:
I believe the answer would be A!
Step-by-step explanation:
If you need $10 total, then charging $1 for 4 apples would get you $4, and charging $1.50 for 4 oranges would get you $6, totaling $10!
Find the perimeter of a rectangular tile with length 1/5ft and width 3/14ft
Answer:
[tex]\frac{29}{35}[/tex] ft (29/35 ft)
Step-by-step explanation:
1. LCDPerimeter: [tex]2w+2l[/tex]
[tex]2(\frac{1}{5})+2(\frac{3}{14})=\frac{2}{5} +\frac{6}{14}[/tex]
Since [tex]\frac{6}{14} = \frac{3}{7}[/tex], the LCD would be 35
2. SolvingNew equation: [tex]\frac{14}{35} +\frac{15}{35} =\frac{29}{35}[/tex]
[tex]\frac{29}{35}[/tex]
Hope this helped! Please mark brainliest :)
f(x) =x-4/x+5
and g(x) = 2x-1
Find the composition f•g
Step-by-step explanation:
2x-1 - (4/(2x-1)) + 5
2x^2 -4x -2 -4 + 10x - 5
2x^2 +6x -11
At a hockey game, a vender sold a combined total of 228 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
9514 1404 393
Answer:
152 sodas76 hot dogsStep-by-step explanation:
Of the items sold, sodas were 2/(2+1) = 2/3 of the total.
(2/3)(228) = 152 . . . sodas were sold
152/2 = 76 . . . . hot dogs were sold
jenna is playing an online trivia game. she has 50 points and earns 2 points for each correct answer. she will advance to the next amount if her score is over 68 points. which inequality can jenna use to find how many more questions she must answer correctly to advance to the next round?
Answer:2x + 50 > 68
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
because is you skip count on two you will count on to 68 so that is why the answer is 7.
Amy needs to mail a gift card to a friend. She uses 47-cent stamps and 6-cent stamps to pay $2.42 in postage. How many of each stamp did Amy use?
Answer:
Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.
Step-by-step explanation:
Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.
41 cents = 41/100 = $0.41
6 cents = 6/100 = $0.06
She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that
0.41x + 0.06y = 2.12
Multiplying through by 100, it becomes
41x + 6y = 212
6y = 212 -41x
We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.
If x = 3,
6y = 212 - 41 × 3 = 89
y = 89/6 = 14.8333
If x = 4,
6y = 212 - 41 × 4 = 48
y = 48/6 = 8
Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.
Step-by-step explanation:
Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.
41 cents = 41/100 = $0.41
6 cents = 6/100 = $0.06
She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that
0.41x + 0.06y = 2.12
Multiplying through by 100, it becomes
41x + 6y = 212
6y = 212 -41x
We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.
If x = 3,
6y = 212 - 41 × 3 = 89
y = 89/6 = 14.8333
If x = 4,
6y = 212 - 41 × 4 = 48
y = 48/6 = 8
change the following basis to Base 10 134 in base seven
Answer:
74 base 10.
Step-by-step explanation:
134 base 7 = 7^2 + 3*7 + 4
= 49 + 21 + 4
= 74 base 10
If the range of the coordinate transformation (, ) = (−2,−3 +1) is (4, −2), (2, −5), (−6, 4), what is the domain?
A. (-2, 1), (-1, 2), (3, -1)
B. (-8, 7), (-4, 16), (19, -11)
C. (-8, 1), (-4, 2), (19, -1)
D. (-2, 7), (-1, 16), (3, -11)
Consider the below figure attached with this question.
Given:
The transformation is:
[tex]f(x,y)=(-2x,-3y+1)[/tex]
The range is (4,-2), (2, −5), (−6, 4).
To find:
The domain of the transformation.
Solution:
We have,
[tex]f(x,y)=(-2x,-3y+1)[/tex]
For the point (4,-2),
[tex](-2x,-3y+1)=(4,-2)[/tex]
On comparing both sides, we get
[tex]-2x=4[/tex]
[tex]x=\dfrac{4}{-2}[/tex]
[tex]x=-2[/tex]
And,
[tex]-3y+1=-2[/tex]
[tex]-3y=-2-1[/tex]
[tex]-3y=-3[/tex]
[tex]y=\dfrac{-3}{-3}[/tex]
[tex]y=1[/tex]
So, the domain of (4,-2) is (-2,1).
Similarly,
For the point (2,-5),
[tex](-2x,-3y+1)=(2,-5)[/tex]
On comparing both sides, we get [tex]x=-1,y=2[/tex]. So, the domain of (2,-5) is (-1,2).
For the point (-6,4),
[tex](-2x,-3y+1)=(-6,4)[/tex]
On comparing both sides, we get [tex]x=3,y=-1[/tex]. So, the domain of (-6,4) is (3,-1).
So, the domain of the given transformation is (-2, 1), (-1, 2), (3, -1).
Therefore, the correct option is A.
Kobe is a basketball player. He is able to make a free throw 70% of the time. What is the probability that Kobe makes his 10th free throw on his 14th shot
Answer:
0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either he makes it, or he misses. The probability of making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
He is able to make a free throw 70% of the time.
This means that [tex]p = 0.7[/tex]
What is the probability that Kobe makes his 10th free throw on his 14th shot?
9 of his first 13(P(X = 9) when n = 13), and then the 10th with 0.7 probability.
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{13,9}.(0.7)^{9}.(0.3)^{3} = 0.2337[/tex]
0.7*0.2337 = 0.1636
0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot
If f(x) = 3 - 4x, find f(1+a)
I am in the need of assistance thank you !
Step-by-step explanation:
f(x) = 3 - 4x
f(1+a)= 3-4(1+a)
=3-4+4a
=4a-1
What is the meaning proportion between 3 and 27?
Answer:
you mean the mean not the meaning right?
The mean proportional of 3 and 27 = +√3×27 = +√81 = 9.
One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer
Answer: 1, 4
Step-by-step explanation:
Number #1 = xNumber #2 = [tex]\frac{1}{4} x[/tex][tex]\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4[/tex]
Number #1 = x = 4Number #2 = [tex]\frac{1}{4} x[/tex] = [tex]\frac{1}{4} *4=\frac{4}{4} =1[/tex]I need help finding this solution.
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Answer:
-16∛2
Step-by-step explanation:
It can be helpful to have some familiarity with the cubes of small integers. For example, ...
2³ = 8
6³ = 216
With this in mind you recognize the expression as ...
3∛((-6)³(2)) +∛((2³)(2))
= 3(-6)∛2 +2∛2
= (-18 +2)∛2
= -16∛2
I want my answer please help
Answer:
This is pretty simple
Step-by-step explanation:
So the only thing you need to know about negatives and positives is that if your multiplying or dividing a number with 1 negative in the expreession/equation The answer will always result in a negative. If its 2 negatives its always positive. Thats all you need to know and then just solve it from there.
Answer:
See explanation and picture below.
Step-by-step explanation:
In both multiplication and division of 2 numbers, different signs give you negative and equal signs give you positive.
In other words, positive & positive or negative and negative give you a positive answer.
Negative and positive or positive and negative give you negative answer.
Which of these tables represents a function
Answer:
W and X
Y and Z arent functions because some of their domains (x value) have different inputs. Each domain can only have one input.
This graph shows the solution to which inequality?
(32)
(-3.-6);
A ys 1/x - 2
B. y> fx-2
C. yzfx-2
***-2
A party supply company makes cone shaped party hats for children using thin cardboard. To the nearest square centimeter, how much cardboard is required to make the party hate use pie = 3.14.
Answer:
A. 754 cm²
Step-by-step explanation:
Amount of cardboard needed = surface area of the cone
Curved surface area of the cone = πrl
Where,
π = 3.14
r = ½(20) = 10 cm
l = 24 cm
Plug in the values into the formula
Curved surface area = 3.14 × 10 × 24 = 753.6 ≈ 754 cm²
Ms. Weaver plans to decorate the bulletin board in her classroom. She purchased 30 sheets of construction paper for $0.30 per sheet, 5 boxes of thumbtacks for $0.70 per box, and 4 framed pictures for $6.00 per picture. How much money did Ms. Weaver spend for the items?
Answer:
$36.5 money ms.weaver spent for the items
A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals
make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.
Answer:
p=c(1+r)^t so the population will be 4679.43424 or rounded to 4679
Step-by-step explanation:
p=c(1+r)^t
p=4,000(1+.04)^t
p=4,000(1.04)^t
p=4,000(1.04)^4
p=4679.43424
p= the population you are solving for
c= the initial amount of the population
(1+r)= the rate of change
t= the period of time
The exponential equation that represents the population of the town in terms of the number of years : [tex]p=4000 (1+0.4)^{t}[/tex]
What is an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
It is similar to the amount received after investing a certain amount compounded annually.
Given,
Initial population = 4000
Rate of increase = 4%
Let current population be p.
Let number of years passed be t.
The exponential equation will be: [tex]p=4000 (1+0.4)^{t}[/tex]
(The population of the town has grown exponentially. This means that:
Initial population = 4000
Population in year I = 4000 + 4% of 4000 = 4000(1 + 0.4)
Population in year II = 4000 + 4% of 4000(1 + 0.4) = 4000(1 + 0.4)(1+0.4)
and this goes on.)
Learn more about exponential equation here
https://brainly.com/question/23729449
#SPJ2
X is less than or equal to 2 Write in interval notation.
The Happy Widget Company has a fixed cost of $1,163 each day to run their factory and a variable cost of $1.69 for each widget they produce.
Create a linear model for their daily cost.
How much does it cost them to produce 288 widgets?
Round your answer to the nearest cent.
how many numbers divisible by 5 are possible, show your calculation. (Its a other language so dont look at the text)
what is the value of x?
what is the value of y?
type in an integer or decimal
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Answer:
x = 5.6y = 65Step-by-step explanation:
There are a couple of relations that are applicable to these questions.
the product of segment lengths of crossed chords is the same for both chordsthe angle formed at crossed chords is the average of the intercepted arc measures__
The segment lengths relation tells us ...
10x = 8×7 . . . . . . products of segment lengths are equal
x = 56/10 = 5.6 . . . . divide by 10
__
The value of y° is the average of the intercepted arcs:
y° = (85° +45°)/2 = 65°
_____
Additional comment
This diagram does not have enough information to allow computation of z. We would need to know the intercepted arc, or the length of the secant that meets tangent z.
find (f o g)(x)
f(x) = 5x+1, g(x)= *square root of x*
Step-by-step explanation:
Hey there!
Here;
f(x) = 5x + 1
g(x) = (√x)
Now;
fog(X) = f(g(x))
= f(√x)
= 5√x + 1
Therefore, fog(X) = 5√x + 1.
Hope it helps!
Mathematics I need help
Answer:
B
Step-by-step explanation:
Exclude C:
[tex] |x| [/tex]
is not curved
To shift right, minus inside the
[tex] |?| [/tex]
Thus
[tex] |x - 4| [/tex]
To shift up, add outside the
[tex] |?| [/tex]
Thus:
[tex] |x +4| + 2[/tex]
B
Brainliest please~
Suppose your dean of admissions is considering surveying high school seniors about their perceptions of your school to design better informational brochures for them. What are the advantages and disadvantages of doing (a) telephone interviews and (b) an Internet survey of seniors who have requested information about the school
Answer and explanation:
Advantages of telephone interviews:
They are more convenient than face to face interviews
They are alot more cost-effective
There is a wider geographical access as you can reach people in other countries too
Disadvantages of telephone interviews:
Questions become has limited complexity as opposed to face to face interviews
It may be somewhat intrusive for customers and there could also be interference from noise in the background. Also bad connection issues.
Advantages of internet survey:
Increased geographical access leading to high response rate.
Alot more convenient and flexible than face to face interviews
Low cost advantages
Disadvantages of internet survey:
Inability for individuals who are not online to participate
Non response bias
Limited complexity of questions, usually close ended questions
(c) Construct a 99% confidence interval for u if the sample
size, n, is 35.
Answer:
The confidence interval is [tex](\overline{x} - 1.99\frac{\sigma}{\sqrt{35}}, \overline{x} + 1.99\frac{\sigma}{\sqrt{35}})[/tex], in which [tex]\overline{x}[/tex] is the sample mean and [tex]\sigma[/tex] is the standard deviation for the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]M = 1.99\frac{\sigma}{\sqrt{35}}[/tex]
The lower end of the interval is the sample mean subtracted by M, while upper end of the interval is the sample mean added to M. Thus, the confidence interval is [tex](\overline{x} - 1.99\frac{\sigma}{\sqrt{35}}, \overline{x} + 1.99\frac{\sigma}{\sqrt{35}})[/tex], in which [tex]\overline{x}[/tex] is the sample mean and [tex]\sigma[/tex] is the standard deviation for the population.
