Answer:
"Variable cost" is the appropriate answer.
Step by-step explanation:
Let an equation,
⇒ [tex]y=a+bx[/tex]
here,
y = Total costa = Fixed costx = Variable costor,
We can say that, "y" is a dependent variable as well as "x" is an independent variable.
Thus the independent variable is Variable cost.
please help with this question i will mark you brainliest!
9514 1404 393
Answer:
equation: y = 4x
graph is attached
Step-by-step explanation:
Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...
cost = (cost per pound) × (pounds)
y = 4x
__
This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the transmitter to a second city 36 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter? Hint: assume that the transmitter is at the origin. Write the equations of the line and circle.
9514 1404 393
Answer:
63.7% or 33.35 miles
Step-by-step explanation:
The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.
The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...
y/38 +x/36 = 1
19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount
Then the distance from the origin to the line is ...
d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243
The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:
x² + (26.1243)² = 31²
x² = 31² -(684/√685)² = 190429/685
x ≈ 16.6733
The driving distance for which the transmitter is picked up is twice this, so is ...
2x = 2(16.6733) ≈ 33.3466 . . . miles
The total drive length is also given by the Pythagorean theorem:
drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles
Then the fraction of the drive during which the signal is picked up is ...
fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%
__
The signal is picked up for 33.35 miles, about 63.7% of the drive.
______
The intercept-form equation for a line is ...
x/(x-intercept) +y/(y-intercept) = 1
The distance from (x, y) to line ax+by+c=0 is given by ...
d = |ax+by+c|/√(a²+b²)
The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:
c² = a² +b²
can you help me with this one
Answer:
q = 3m
Step-by-step explanation:
We know that segment HF is half of IJ, therefore we can say;
IJ / 2 = HF or q
6 / 2 = HF or q
3 = HF or q
Hope this helps!
The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.
f'(70) = 1.5
When the ticket price is _____, the weekly profit to the airline on flights from Boston to Washington is _____
Answer:
When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.
Step-by-step explanation:
The function has the following format:
f(p)
That is, f is a function of p.
The derivative, f'(p), is the variation of f for the given value of p.
f'(70) = 1.5
p = 70, thus, ticket price of $70.
f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.
Thus the correct answer is:
When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.
What is Limit of (x cubed + 3 x squared minus 5) as x approaches negative 2?
–25
–15
–9
–1
Answer:
–1
Step-by-step explanation:
We want to find the following limit:
[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5[/tex]
Since the function does not have any discontinuity(point in which the denominator is 0, for example), we just replace the values of x by -2. So
[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5 = (-2)^3 + 3(-2)^2 - 5 = -8 + 12 - 5 = -13 + 12 = -1[/tex]
The value of the limit is -1.
Answer:
Step-by-step explanation:
D. -1
D.sqrt(2+x^/2)
Solve this question please
Answer:
Option a.
Step-by-step explanation:
By looking at the options, we can assume that the function y(x) is something like:
[tex]y = \sqrt{4 + a*x^2}[/tex]
[tex]y' = (1/2)*\frac{1}{\sqrt{4 + a*x^2} }*(2*a*x) = \frac{a*x}{\sqrt{4 + a*x^2} }[/tex]
such that, y(0) = √4 = 2, as expected.
Now, we want to have:
[tex]y' = \frac{x*y}{2 + x^2}[/tex]
replacing y' and y we get:
[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]
Now we can try to solve this for "a".
[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]
If we multiply both sides by y(x), we get:
[tex]\frac{a*x}{\sqrt{4 + a*x^2} }*\sqrt{4 + a*x^2} = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}*\sqrt{4 + a*x^2}[/tex]
[tex]a*x = \frac{x*(4 + a*x^2)}{2 + x^2}[/tex]
We can remove the x factor in both numerators if we divide both sides by x, so we get:
[tex]a = \frac{4 + a*x^2}{2 + x^2}[/tex]
Now we just need to isolate "a"
[tex]a*(2 + x^2) = 4 + a*x^2[/tex]
[tex]2*a + a*x^2 = 4 + a*x^2[/tex]
Now we can subtract a*x^2 in both sides to get:
[tex]2*a = 4\\a = 4/2 = 2[/tex]
Then the solution is:
[tex]y = \sqrt{4 + 2*x^2}[/tex]
The correct option is option a.
The transformation of y=f(x) to y=f(2x) is a:
Answer:
c) vertical stretch by a factor of 2
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Horizontal stretch by a factor of 1/2.
We can also describe this as a horizontal compression by a factor 2
Plz help me well mark brainliest if correct....??????????????...
Answer:
D). 100
Step-by-step explanation:
The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100
pls i need help i’ll give brainliest!
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The rule here is that the product of the lengths from the external point of intersection (angle vertex) to the intersections with the circle is the same for both secants. The tangent counts as intersecting the circle twice. So, we have ...
(6)(6) = (3)(x)
x = 36/3 = 12 . . . . . divide by the coefficient of x
4278206 this numbers name ?
forty two lakh seventy eight thousand two hundred and six
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
Which graph best represents an exponential function?
O A.
O B.
C.
D.
Answer:
B
Step-by-step explanation:
that's how exponential functions are shaped
Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?
Answer:
False
Step-by-step explanation:
Precision describes repeatability.
Accuracy describes the closeness of a measurement to the actual value.
So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).
Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.
Pleaseee help me!!!!- no links please.
Suppose Easton entered in * x * shows , So we have :
60/100 × x = 15
x = 1500/60
x = 150/6
x = 25
Thus he entered 25 shows last year.
) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivalent ratios or a rate table to confirm your answer.
Answer:
35
Step-by-step explanation:
Here we see 5 black keys for every 7 white keys.
So the ratio is 5:7
If we need 49 white keys, find the amount we scale the original ratio by:
49/7 = 7
So we are scaling by a factor of 7.
The number of black keys would be 5 * the scale of 7. = 35
So there should be 35 black keys.
Using proportions, it is found that 35 black keys appear on a portable keyboard with 49 white keys.
This question is solved by proportions, applying a rule of three.The equivalent ratio given, from the picture, is that for 7 white keys, there are 5 black keys. Hence, how many black keys will be there when there are 49 white keys?The rule of three is:
7 white keys - 5 black keys
49 white keys - x black keys
Applying cross multiplication:
[tex]7x = 49 \times 5[/tex]
Simplifying both sides by 7:
[tex]x = 7 \times 5 = 35[/tex]
Hence, 35 black keys will appear.
A similar problem, also involving proportions, is given at https://brainly.com/question/24372153
What is the length of NP?
Answer:
[tex]c=\sqrt{174}[/tex]
Step-by-step explanation:
First, find the length of MP. This can be done with the Pythagorean Theorem.
We can use x as angle MP.
a² + b² = c²
10²+ 7² = x²
100 + 49 = x²
x² = 149
Take the square root to get
x = √(149)
Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.
a² + b² = c²
5² + √(149)² = c²
25 + 149 = c²
c² = 174
c = √(174)
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answer:
B is the answer trust me I already took the math.
Step-by-step explanation:
68 - 4 × (6 - 4)4
pls help the answer questions are
16 80 4 or -2
Assume that we want to estimate the mean IQ score for the population of statistics students. How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean? The Standard Deviation is 15.
Answer:
97 students must be randomly selected for IQ tests.
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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
The Standard Deviation is 15.
This means that [tex]\sigma = 15[/tex]
How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?
This is n for which M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.96*15[/tex]
Simplifying both sides by 3
[tex]\sqrt{n} = 1.96*5[/tex]
[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]
[tex]n = 96.04[/tex]
Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):
97 students must be randomly selected for IQ tests.
Which equation can be used to find the length of the missing side x?
Answer:B) x = 7 sin 65°
Step-by-step explanation:
Sine = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex]
So 7 × [tex]\frac{x}{7}[/tex] = x
Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?
Answer:
54
Step-by-step explanation:
Calculation to determine How many problems on the final exam did Cameron get wrong
Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)
Let plug in the formula
Wrong Numbers of problems=200-(73%*200)
Wrong Numbers of problems=200-146
Wrong Numbers of problems=54 problems
Therefore the problems on the final exam that Cameron get wrong is 54
Answer:
54
Step-by-step explanation:
ok
The perimeter of the
rectangle is 14 m and
the area is 12 m2.
Calculate the length
of the rectangle
diagonal
Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5
What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4
Answer:
2x+6=0 x-4=0 2x=-6 x=-3 x=4
Answer:
- 3 and 4
Step-by-step explanation:
A survey that asked people in the United States about their
feelings of personal well-being found that 85% are generally
happy. To test this finding, you survey 26 people at random and
finding that 19 consider themselves generally happy. Would
you reject the survey's findings?
Answer:
Yes I would
Step-by-step explanation:
You would not have enough test subjects to have an accurate survey.
can anyone help me with this?
Answer:
120 degrees is x
Step-by-step explanation:
because both are equal angles
btw nice Pikachu meme
30
7
0.7
dbksb
FS MATHS L2
Practise the Skill
1)
There are 14 women and 7 men in a café.
What is the probability that a person picked at random will be a woman?
Give your answer as a fraction in its lowest terms.
2)
Sally has a pack of playing cards and she chooses a card at random.
a) What is the probability that she picks an ace?
Give your answer as a fraction in its lowest terms.
Answer:
1) 2/1
2) 13/1
Step-by-step explanation:
14. Which makes the number sentence true?
12 - 3= 7+_
What do u multiply first?
Answer:
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.
pls Mark me as brainliest trust me..
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
What percentage of the people surveyed own fish?
A. 10%
B. 6%
C. 4%
D. 0.1%
Answer: the answer should be 10%
Step-by-step explanation:
Answer:
10% is correct!
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67