Answer:
Dependent variable = Total daily cost
Independent variable = number of items manufactured
2500 ;
9750
Step-by-step explanation:
Given the cost function in. A manufacturing company :
C(x) = 7.25x + 2500 ; Where
C(x) = total daily cost
x = number of items manufactured
The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).
2.)
C(0) ;
C(x) = 7.25x + 2500
Put x = 0
C(0) = 7.25(0) + 2500
Cost = 2500
This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.
3.)
C(1000)
C(x) = 7.25x + 2500
Put x = 1000
C(0) = 7.25(1000) + 2500
Cost = 7250 + 2500
Cost = 9750
This is the total cost including variable cost of producing 1000 items.
What is 6.995 to a decimal, fraction, and percent?
Answer:
1399/200 699.5%
Step-by-step explanation:
1. 6.995 is already a decimal.
2. As a fraction it is [tex]\frac{1399}{200}[/tex] and as an improper fraction it would be 6 [tex]\frac{199}{200}[/tex].
3. As a percent it would be 669.5%.
What is the equation of the line that passes through
(-5, 0) and (4, 3)?
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
The point-slope form of an equation for a line is y = mx + b (m is the slope; b is the y-intercept).
First, find the slope using the two given points.
[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]
At this stage, you know the slope and need to find the y-intercept. Plug in one of the points (either one) into the equation. Let's use (-5, 0).
[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]
The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].
You can check for errors by putting in the point you didn't use...
Check to make sure the point (4, 3) satisfies the equation.
[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex] True!
What is the radical form of the expression 4 3/2?
Answer:
[tex]\sqrt{4^{3} }[/tex]
Step-by-step explanation:
4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]
since the numerator (3) represents the exponent, and the denominator (2) is the root
think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power
Evaluate.
16÷(2+1/2)2
(the 2 at the end is a 1 half to the 2 power)
PEMDAS, notice Parentheses is first, then Exponents 2nd
[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]
now that the exponent got done, let's keep in the parentheses
[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]
PEMDAS, after all that we'll do D, Division next
[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]
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this just some addition to your previous posting, since you kinda got spammed some
[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]
notice, PEMDAS, P first and so on, AS are last, from left to right.
Find the slope of the line passing through the points (-7,8) and (-7,-6)
Find the slope of the line passing through the points (-9,-8) and (3,-8)
Answer:
1) undefined
2) 0
Step-by-step explanation:
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Problem 1:
(x1, y1) = (-7, 8)
(x2, y2) = (-7, -6)
Plug those 2 points into the slope formula and solve:
[tex]m=\frac{-6-8}{-7--7}\\\\m=\frac{-14}{0}[/tex]
Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:
[tex]x=-7[/tex]
Problem 2:
(x1, y1) = (-9, -8)
(x2, y2) = (3, -8)
[tex]m=\frac{-8--8}{3--9}\\\\m=\frac{0}{12}\\\\m=0[/tex]
The slope is 0, and that would make a horizontal line on a graph. The equation would be:
[tex]y=-8[/tex]
You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.
Identify the range of values for x.
Answer: Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
What is the value of x? Enter your answer in the
box.
Answer:
70⁰ + 30⁰ + x = 180 ( angle sum property (
100⁰ + x = 180
x = 80⁰
What is the product?
(38b* )-822
Answer:
[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]
Step-by-step explanation:
[tex]\sf (3a^2b^4)(-8ab^3)[/tex]
We'll use rule of exponents to simplify expression.
[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]
Now, use the commutative property of multiplication.
[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]
In order to multiply power of the same base, we add their exponents.
[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]
→ Add exponents:
[tex]\sf 3^1(-8)^1a^3b^7[/tex]
→ Multiply 3* -8
[tex]\sf -24a^3b^7[/tex]
__________________________________________
Some government leaders propose allowing oil companies to drill in currently protected lands that may be rich in oil reserves. Environmental researchers argue that drilling in such lands would be harmful to the surrounding ecosystem. To measure support for drilling in such lands, an oil company representative uses random-digit telephone dialing to contact adults in the region and measure opinion for increased drilling. One question in the survey asks, "Given that an increase in drilling could result in increased tax revenue and additional jobs to the region, would you support a proposal to allow drilling in lands currently protected from drilling?" What type of bias could be most likely affecting the survey results? This is undercoverage bias because some segments of the population will be excluded from the sample. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling. This is voluntary res
The type of bias in this survey is question-wording bias because the question is influencing the response (option D).
Question-wording bias occurs when the words selected in the question influence a specific response. Here is one example:
Do you believe a cruel practice such as bullfighting should be forbidden?In this question, the use of the word cruel qualifies bullfighting as negative, and therefore in most cases, people will answer that bullfighting should be forbidden.
This effect occurs in the question for this survey because the section given that an increase in drilling could result in increased tax revenue and additional jobs to the region indirectly states drilling is positive and therefore influences the response of those surveyed.
Note: This question is incomplete because some of the options are missing; here are the complete options:
What type of bias could be most likely affecting the survey results?
A. This is undercoverage bias because some segments of the population will be excluded from the sample.
B. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling.
C. This is voluntary response bias because those most passionate about drilling will be more likely to register an opinion.
D. This is question-wording bias because the information given at the start of the question may lead those surveyed towards a desired response.
Learn more about bias in: https://brainly.com/question/6078134
the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms
Answer:
The terms are 2, 4, and 8
Step-by-step explanation:
a+b+c=14
a^2+b^2+c^2=84
Plug in numbers.
3+6+5=14
3^2+6^2+5^2=70
This is too little, meaning the some of the terms have to be larger.
1+7+6=14
1^2+7^2+6^2=86
This is too much, meaning smaller terms are needed.
2+8+4=14
2^2+8^2+4^2=84
This is perfect.
A polygon with both equal angles and equal sides is called
Answer:
It's called a regular polygon
Answer:
A regular Polygon
Step-by-step explanation:
Which of the following does NOT represents a function?
Complete the table for the equation Y=2x+3
Hope it helps.
Don't forget to click the Brainliest button and if you have any query, feel free to ask in the comment section.
a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?
Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
Write an equation for the situation: Kristian has $200 which is two times Alejo's money plus $20.
Answer:
x= 2y + 20
Step-by-step explanation:
we could say kristian and alejo, Bob and Bill, shelled and Jackie or just about any other two words so let's call them x any y. kristian is x and also is y.
so kristian (x) has twice as much money plus another 20.
this means x has 2 times plus 20 more than y.
so x= 2y + 20
Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6
Answer:
x=0 ,y=6
Step-by-step explanation:
solve for the first variable in one of the equations
How many cups of cream would you need for 7 cups of sugar
Answer:
sugar is bad so just use cream
Step-by-step explanation:
sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.
hope this helps
Here is my question
Answer:
[tex]\frac{17}{24}[/tex]
Step-by-step explanation:
Step 1 :
4 - 1 [tex]\frac{3}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex]
Step 2 :
1 ÷ 2 [tex]\frac{2}{5}[/tex] = 1 × [tex]\frac{5}{12}[/tex] = [tex]\frac{5}{12}[/tex]
Step 3:
[tex]\frac{2}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8+5}{12}[/tex] = [tex]\frac{13}{12}[/tex] = 1 [tex]\frac{1}{12}[/tex]
Step 4:
3 ÷ [tex]\frac{13}{12}[/tex] = 3 × [tex]\frac{12}{13}[/tex] = [tex]\frac{36}{13}[/tex] = 2 [tex]\frac{10}{13}[/tex]
Step 5:
1 - 2 [tex]\frac{10}{13}[/tex] = - 1 [tex]\frac{10}{13}[/tex] = - [tex]\frac{23}{13}[/tex]
Step 6:
1 - [tex]\frac{16}{39}[/tex] = [tex]\frac{23}{39}[/tex]
Step 7:
[tex]\frac{23}{39}[/tex] ÷ ( - [tex]\frac{23}{13}[/tex] ) = - [tex]\frac{23}{39}[/tex] × [tex]\frac{13}{23}[/tex] = - [tex]\frac{1}{3}[/tex]
Step 8:
[tex]\frac{3}{8}[/tex] - ( - [tex]\frac{1}{3}[/tex] ) = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{9+8}{24}[/tex] = [tex]\frac{17}{24}[/tex]
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h
A line passes through the point (-2,-6) and has a slope of 5/2. Write an equation in slope-intercept from this line.
Slope = 5/2
y intercept = -1
======================================================
Work Shown:
m = 5/2 = slope
(x1,y1) = (-2,-6) = point the line goes through
y-y1 = m(x-x1) .... point slope form
y-(-6) = (5/2)(x-(-2))
y+6 = (5/2)(x+2)
y+6 = (5/2)x + (5/2)*2
y+6 = (5/2)x + 5
y = (5/2)x + 5 - 6
y = (5/2)x - 1
This equation is in slope intercept form y = mx+b
m = 5/2 = slope
b = -1 = y intercept
a painter has 3 gallons of paint and each will cover 420 ft of wall space. if the total area was 1800 ft what percent of the job could the painter finish with the paint he already has?
Answer:
23.33333%
Step-by-step explanation:
50% of 70
help! I don’t understand!!
Answer:
The answer is 35.
Step-by-step explanation:
50% means half of a number.
For example, 50% of 20 is 10, because half of 20 is 10.
In this situation, the number is 70.
Do 70 divided by 2.
The answer is 35.
Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50. This will give you 35. (The answer.)
Step-by-step explanation:
Any percent can be written as a decimal. Move the decimal point two places to the right to convert a percent to a decimal. For example, 25% to .25 and 50% to .50.
A washer and a dryer cost $686 combined.The washer cost $64 less than the dryer.What is the cost of the dryer?
Answer:
Step-by-step explanation:
375
Step-by-step explanation:
the washer cost is 311 the dryer 375
I need help solving please
Answer:
B.
Step-by-step explanation:
Range is all the set y values.
Answer:
See image
Step-by-step explanation:
The range is all of the y-values. Look at the points on the graph, and make a list of all the y's That will be the range.
What is the difference between a credit score and a credit rating?
a.
A credit score and a credit rating are the same thing.
b.
A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.
c.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
d.
A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
What is a credit score and a credit rating?
A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.
A credit rating is a measure of in letters that expresses the credit worthiness of an individual.
Answer:
c
Step-by-step explanation:
Which of the following will have the same value as 350 × 10?
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store.
Answer:
14.5 ≥ g(1.5)
g = The number of trips to the grocery store.
You will have 11.5 gallons left.
round to nearest ten thousand
887,173
how to solve 1/2(x-6) = 1/2
Answer:
x=7
Step-by-step explanation:
1/2(x-6)=1/2
(1/2)(x)+(1/2)(−6)=1/2
1/2x+−3=1/2
1/2x−3=1/2
1/2x−3+3=1/2+3
1/2x=7/2
2*(1/2x)=2*(7/2)
x=7
tada!
Please look at picture for question.
Answer:
I believe the blue dot is on -10
Step-by-step explanation:
Counting from zero by 2's
0, -2, -4, -6, -8, -10,...
Hope this helps! :)