6) A table that represents the cost of the cab ride is;
5 15.25
10. 28.95
15. 42.45
20. 55.95
7) The equation in slope intercept form is;
y = 2.70x + 1.95
8) The equation in point slope form is; y - 15.25 = 2.70(x - 5)
9) The equation in standard form is; -2.70x + y = 1.95
10) What the slope indicates is the amount of money charged per mile driven by each cab ride.
How to express a linear equation?6) A table that represents the cost of the cab ride given the number of miles provided for miles 5, 10, 15 and 20.
5 15.25
10. 28.95
15. 42.45
20. 55.95
7) The general equation of a line in slope intercept form is y = mx + b
where;
m is slope.
b is y-intercept
The slope will be 2.70 since that is how much we go up for a mile
Similarly, 1.95 is y-intercept since it is where we start no matter what and we have to add that constant fee every time.
Thus, the equation is;
y = 2.70x + 1.95
8) The general equation for a line in point slope form is;
y - y₁ = m(x - x₁)
Thus, the equation by taking the first coordinate is;
y - 15.25 = 2.70(x - 5)
9) The equation in standard form will be;
y = 2.70x + 1.95
Thus;
-2.70x + y = 1.95
10) What the slope indicates is the amount of money charged per mile driven by each cab ride.
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7) what is the approximate value of x? (Hint: there are two right angle triangles here, round to the nearest tenth)
Answer:
x= 8.2
Step-by-step explanation:
first we need to find the hypotenuse of the smaller triangle
3² + 4² = C
9 + 16 = 25
√25 = 5
now that we found the hypotenuse of the smaller triangle then we now find the hypotenuse of the larger one (x)
6.5² + 5² = C
42.25 + 25 = 67.25
√67.25 = 8.2
NEED HELP ASAP WILL GIVE BRAINLYEST
Answer:
1.-8
2.19
3.-7
Step-by-step explanation:
Determine which equation is written in function form:
O y=7/3x-8
O 3y=9x-1
O 3x-5y=11
O xy=10
Greetings from Brasil...
A 1st degree function can be written in two ways:
F(X) = AX + B
or
Y = AX + B
note that F(X) = Y
So, looking at the alternatives in the question, only Y = 7X/3 - 8 is equivalent to Y = AX + B, where:
A = 7/3
B = - 8
then
\(\large{\boldsymbol{\mathbf{Y = \frac{7X}{3}-8\Leftrightarrow Y=AX+B}}}\) a function of the 1st degree
answer:
Y = (7/3)X - 8if i have $20.00 and a book cost $14.00 plus 15% sales. how much will i have back
(↑)
If x = 4 and y = 7, evaluate the following expression:
100 – 3(3y – 4x)
Answer: 85
Step-by-step explanation:
\(100-3(3y-4x)\\\\=100-3(3 \cdot 7-4 \cdot 4)\\\\=100-3(21-16)\\\\=100-3(5)\\\\=100-15\\\\=85\)
Answer:
148
Step-by-step explanation:
use bidmas to get final solution
100-3(12-28)
100-3 × (-16)
=148
find l{e24 ( 3 5t - 2)}. reference any results used: you need not simplify your answer.
The result of the integral ∫e^(24(3 + 5t - 2)) dt is (1/5) * (1/24) * e^(24(5t + 1)) + C
Reference to Power rule for integrals. To evaluate the integral ∫e^(24(3 + 5t - 2)) dt, we can simplify the expression inside the exponential function first:
3 + 5t - 2 = 5t + 1
Now we can rewrite the integral as:
∫e^(24(5t + 1)) dt
To evaluate this integral, we can use a substitution. Let u = 5t + 1. Then, du = 5dt, and dt = du/5.
Substituting these values into the integral, we have:
∫e^(24u) * (1/5) du
Now the integral becomes:
(1/5) ∫e^(24u) du
To integrate e^(24u), we can use the power rule for integrals. The integral of e^x is e^x, so the integral of e^(24u) will be (1/24)e^(24u). Applying this to the integral, we get:
(1/5) * (1/24) * e^(24u) + C
where C is the constant of integration.
Substituting back u = 5t + 1, we have:
(1/5) * (1/24) * e^(24(5t + 1)) + C
This is the result of the integral ∫e^(24(3 + 5t - 2)) dt.
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Quadrilateral ijkl is similar to quadrilateral mnop. Find the measure of side no. Round your answer to the nearest tenth if necessary.
The length of side NO is approximately 66.9 units.
Given
See attachment for quadrilaterals IJKL and MNOP
We have to determine the length of NO.
From the attachment, we have:
KL = 9
JK = 14
OP = 43
To do this, we make use of the following equivalent ratios:
JK: KL = NO: OP
Substitute values for JK, KL and OP
14:9 = NO: 43
Express as fraction,
14/9 = NO/43
Multiply both sides by 43
43 x 14/9 = (NO/43) x 43
43 x 14/9 = NO
(43 x 14)/9 = NO
602/9 = NO
66.8889 = NO
Hence,
NO ≈ 66.9 units.
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The complete question is:
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
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Find the median and mean of the data set
below:
Median
=
27, 36, 44, 7, 17
Mean =
The median of the data set is 27 and the mean is 26.2. Therefore, the answer is: Median = 27 and Mean = 26.2
To find the mean, we must add up all the values in the data set and divide by the total number of values. Therefore,Mean = (27 + 36 + 44 + 7 + 17)/5= 26.2 (rounded to one decimal place).
To find the median, we need to arrange the data set in order from lowest to highest value. 7, 17, 27, 36, 44Since there are an odd number of values in the data set, the median is the middle value. In this case, the median is 27.
Therefore, the median of the data set is 27 and the mean is 26.2. Therefore, the answer is: Median = 27 and Mean = 26.2
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Find cos x if sin x cotx = 0.5
Answer: 0.5
Step-by-step explanation:
\(cot(x)=\frac{1}{tan(x)} =\frac{1}{\frac{sin(x)}{cos(x)} } =\frac{cos(x)}{sin(x)}\\\\sin(x)cot(x)=sin(x)*\frac{cos(x)}{sin(x)} =cos(x)\\\\cos(x)=sin(x)cot(x)=0.5\)
5. A theater wants to take in at least $2000 for the matinee. Children's
tickets cost $5 each and adult tickets cost $10 each. The theater can seat
up to 350 people. Select all the combinations of children and adult tickets
that will make the $2000 goal.
There are several possible answers.
A- (80, 150)
B- (40, 200)
C- (60, 150)
D- (70, 160)
E- (90, 200)
F- (200, 100)
The required number of children and adults for sitting in the theater are 300 and 50 respectively.
Explain linear equation of two variable.A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.
According to question:Let be consider number of children be x and that of adults is y.
We have,
x + y = 350-------(1)
y = 350 - x
And 5x + 10y = 2000------------------(2)
Put value of y in equation (2)
5x + 10( 350 - x) = 2000
5x + 3500 - 10x = 2000
-5x = -1500
x = 300
Then
y = 350 - x = 350 - 300 = 50
Thus, There will be 300 children and 50 adults in the theater .
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(4x3 – 6x2 – 4x + 8) ÷ (2x – 1)
Use long division to find each quotient
Step-by-step explanation:
We can use long division to divide the polynomial (4x³ - 6x² - 4x + 8) by the binomial (2x - 1).
2x² + 2x - 4
2x - 1 | 4x³ - 6x² - 4x + 8
- (4x³ - 2x²)
---------------
-4x² - 4x
+ ( -4x² + 2x )
--------------
-2x + 8
- (-2x + 1)
----------
7
Therefore, the quotient is 2x² + 2x - 4, and the remainder is 7.
Mary sells $26,012 worth of sports equipment. Her rate of commission is 4.8%. What is her commission on that sale? Round to the nearest hundredth
Answer:
8,000 ordinary income and $1,000 Section 1231 gain
Step-by-step explanation:
A pet supply company makes a small bag that holds 2 pounds of dog food. They want to make a bag
for large dogs that holds 40 pounds of dog food. By approximately what factor will the surface area
of the bag increase?
To find the scale factor, first divide___
by ___ and then find the ____root of that number. Rounded to the nearest thousandth, that is ___ .
Next, take that number to the ____ power. The surface area of the bag will increase by about (to the nearest tenth) a factor of ___.
To find the scale factor, first divide target volume of the large bag
by the volume of the small bag and then find the 3rd root of that number. Rounded to the nearest thousandth, that is 2.714.
Next, take that number to the 2nd power. The surface area of the bag will increase by about (to the nearest tenth) a factor of 7.374.
How to find the scale factor?To find the scale factor, first divide the target volume of the large bag by the volume of the small bag:
40 ÷ 2 = 20
Next, find the 3rd root of that number, rounded to the nearest thousandth:
20^(1/3) ≈ 2.714
Next, take that number to the 2nd power to find the scale factor for the surface area:
2.714^2 ≈ 7.374
The surface area of the bag will increase by a factor of about 7.4 (to the nearest tenth).
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Hi I need to figure if this is a function?
Answer:
no it is not a function
Step-by-step explanation:
function- for every input there is only one output
(1,7),(2,13),(3,13) it has two 13 so it is not a function
What is the volume of the following rectangular prism? Volume ==equals units^3 3 cubed
Answer:
To find volume of rectangular prism you must find the length, width, and height!
Step-by-step explanation:
Volume = (Width) (height) (length)
Volume= Width x height x Length
you must multiple the length, width, and height together to get VOLUME:)
HOPE THIS HELPS :)
AH HELP PLEASE !!!!!!!!!
Which number line represents the solutions to |x – 2| = 6? A number line from negative 10 to 10 in increments of 1. Two points, one at negative 8 and one at 4. A number line from negative 10 to 10 in increments of 1. Two points, one at 4 and one at 8. A number line from negative 10 to 10 in increments of 1. Two points, one at negative 2 and one at 6. A number line from negative 10 to 10 in increments of 1. Two points, one at negative 4 and one at 8.
Answer:
x = 8 or x = -4, i.e., the last number line
Step-by-step explanation:
|x – 2| = 6 translates to
x-2 = 6 or x-2 = -6 if you eliminate the absolute operation. So there are two solutions that you can solve independently:
x-2 = 6 => x = 8
x-2 = -6 => x = -4
Answer:
d
Step-by-step explanation:
just got it right :)
Use the function below (whose parameters qualify it as a STC function) to answer the questions.
"STC "=" 6 "+"9 Q - 3" "Q" ^2 +" (1/3)" "Q" ^3
a) Total fixed cost is $_________
b) Obtain the AFC function from (a) and write it here __________________
c) Obtain the AVC function contained in the STC function and write the AVC function here _________________________
d) Write here the MC function __________________________
e) Find the value which AFC approaches as Q gets very large. Also write a sentence or two explaining what this implies for fixed costs per unit (AFC) as production quantities get ever larger.
f) Find the value of Q at which AVC is a minimum.
g) Is productive efficiency at the value in (f) greatest or least?
h) Demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum. Hint: The level of Q you found in (f) is where AVC is a minimum. If you plug this level of Q into AVC (see c) and also into MC (see d) the two outcomes should be the same if SMC crosses AVC at this level of Q.
i) Why does the derivative of Short Run Total Cost (STC) equal the derivative of Total Variable Cost (TVC)? Stated another way, why does dSTC/dQ = dTVC/dQ? Explain in a couple of sentences.
j. Find the value of Q where increasing returns ceases and diminishing returns begins. Hint: Diminishing returns begins at the level of Q where MC is a minimum
Total fixed cost is $6. The value of AFC is $6 / Q. Productive efficiency is greatest at Q = 4.5. Diminishing returns begin when Q = 3. The total fixed cost (TFC) does not change because it is fixed.
a) Total fixed cost is $6
b) We can obtain the average fixed cost function (AFC) from the total fixed cost (TFC) by dividing it by output (Q) as follows: AFC = TFC / Q. So, the value of AFC is $6 / Q.
c) The AVC function is calculated by dividing total variable cost (TVC) by output (Q).
STC = TFC + TVC6 + 9Q - 3Q2 + (1/3)Q3TVC = 9Q - 3Q2 + (1/3)Q3AVC = TVC / QAVC = (9Q - 3Q2 + (1/3)Q3) / QAVC = 9 - 3Q + (1/3)Q2
d) The MC function is derived by taking the first derivative of the STC function with respect to output (Q). The derivative of the STC function is: MC = dSTC / dQMC = 9 - 6Q + Q2
e) As Q approaches infinity, the denominator of AFC becomes larger and larger. So, AFC approaches zero as Q gets very large. This implies that fixed costs per unit decrease as production quantities get larger.
f) We can find the value of Q at which AVC is a minimum by taking the first derivative of the AVC function and setting it equal to zero. The first derivative of AVC is: AVC = 9 - 3Q + (1/3)Q2
dAVC / dQ = -3 + (2/3)Q= 0
Q = 4.5
g) Productive efficiency is greatest when AVC is at its minimum. Therefore, productive efficiency is greatest at Q = 4.5.
h) We can demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum by plugging Q = 4.5 into both the AVC and MC functions. AVC = 9 - 3(4.5) + (1/3)(4.5)2AVC = 7.125MC = 9 - 6(4.5) + 4.52MC = 7.125
Since SMC = MC, we can conclude that SMC equals AVC at the value of Q where AVC is a minimum.
i) In the short run, the total fixed cost (TFC) does not change because it is fixed. Therefore, the derivative of the STC function with respect to output (Q) is equal to the derivative of the TVC function with respect to output (Q). This means that dSTC / dQ = dTVC / dQ.
j) Increasing returns to scale cease when the marginal cost (MC) is equal to average total cost (ATC). Diminishing returns to scale begins when MC exceeds ATC. ATC is calculated by dividing the total cost (TC) by output (Q). TC is calculated by adding total fixed cost (TFC) and total variable cost (TVC).
ATC = TC / QATC = (6 + 9Q - 3Q2 + (1/3)Q3) / Q
Now, we can find the level of Q where increasing returns to scale cease by calculating the first derivative of ATC and setting it equal to zero.
ATC = (6 + 9Q - 3Q2 + (1/3)Q3) / QdATC / dQ = (6 - 6Q + Q2) / Q2= 0
Q = 3
Now, we can calculate the marginal cost function and find the level of Q where diminishing returns begins. We know that diminishing returns begin where the marginal cost is at its minimum.
MC = 9 - 6Q + Q2MC = 9 - 6(3) + 32MC = 3
So, diminishing returns begin when Q = 3.
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To convert 345 milliliters to liters, which proportion should you use?
To convert 345 milliliters to liters, the proportion you should use is:1 L = 1000 mL.
The above conversion implies that 1 liter is equal to 1000 milliliters. Therefore, to convert milliliters to liters, you should divide the number of milliliters by 1000. This means that the answer will be in liters. The proportion used is shown below:$$\frac{345 \text{ mL}}{1} \times \frac{1\text{ L}}{1000\text{ mL}}= \frac{345}{1000} \text{ L}= 0.345 \text{ L}$$Therefore, 345 milliliters is equal to 0.345 liters when converted using the above proportion.
The litre is a metric volume unit . Although the litre is not a SI unit, it is classified as one of the "units outside the SI that are accepted for use with the SI," along with units like hours and days. The cubic metre (m3) is the SI unit for volume.
A millilitre is a metric unit of volume that is equal to one thousandth of a litre (also written millilitre or mL). The International System of Units (SI) accepts it as a non-SI unit for usage with its system. In terms of volume, it is exactly equal to one cubic centimetre (cm3, or non-standard, cc).
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could u plz help me with this
x/5=3 and x/2=8.5
Answer:
15 and 17
Step-by-step explanation:
x/5=3
x= 15 15/5 is 3
x/2=8.5
x=17 17/2 is 8.5
Determine the intercepts of the line.
x-intercept:
y-intercept:
Calc how much interest you would earn on a deposit of $8500 at 2.75%,
compounded annually, for a term of 4 years?
9514 1404 393
Answer:
$974.28
Step-by-step explanation:
The formula for the account balance is ...
A = P(1 +r)^t
Subtracting the principal gives the amount of interest.
I = P((1 +r)^t -1)
i = $8500(1.0275^4 -1) ≈ $974.28
You would earn $974.28 in interest over that time period.
click on the image to see the pic
Answer:
\( \frac{3 \sqrt{2} }{2} \)
From a SRS of 125 Americans, 43 regularly use two or more pairs of eyeglasses. Is this evidence that the percent of Americans who regularly use two or more pairs of eyeglasses exceeds 30%
Based on the given information, a simple random sample (SRS) of 125 Americans shows that 43 of them regularly use two or more pairs of eyeglasses.
To determine if this is evidence that the percentage of Americans who regularly use two or more pairs of eyeglasses exceeds 30%, we need to calculate the proportion. The proportion of Americans in the SRS who regularly use two or more pairs of eyeglasses is calculated by dividing the number of Americans who do (43) by the total sample size (125).
Proportion = Number of Americans using two or more pairs of eyeglasses / Total sample size
Proportion = 43/125
Calculating this proportion, we find that it is approximately 0.344 or 34.4%. To determine if this proportion exceeds 30%, we compare it to the given value. Since 34.4% is greater than 30%, it can be concluded that there is evidence that the percentage of Americans who regularly use two or more pairs of eyeglasses exceeds 30%.
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You can perform the calculations to find the test statistic and p-value based on the sample data, and make a decision by comparing the p-value to the significance level.
Based on the given information, we have a simple random sample (SRS) of 125 Americans, and out of those, 43 regularly use two or more pairs of eyeglasses. The question is whether this provides evidence that the percentage of Americans who regularly use two or more pairs of eyeglasses exceeds 30%.
To answer this question, we need to conduct a hypothesis test.
Step 1: Set up the hypotheses:
- Null hypothesis (H0): The percentage of Americans who regularly use two or more pairs of eyeglasses is 30% or less.
- Alternative hypothesis (Ha): The percentage of Americans who regularly use two or more pairs of eyeglasses exceeds 30%.
Step 2: Choose the significance level:
Let's assume a significance level of 0.05 (5%).
Step 3: Compute the test statistic and p-value:
We need to calculate the test statistic and p-value based on the sample data. Since we are comparing a proportion to a specific value, we can use the one-sample proportion test.
Step 4: Make a decision:
If the p-value is less than the significance level (0.05), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Step 5: Interpret the decision:
If we reject the null hypothesis, it means we have evidence to conclude that the percentage of Americans who regularly use two or more pairs of eyeglasses exceeds 30%. On the other hand, if we fail to reject the null hypothesis, we do not have enough evidence to support the claim that the percentage exceeds 30%.
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Please help, I’ll give brainleist and 15 points
pretty sure its y=2^x aka B
Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
-17 and -5
Step-by-step explanation:
-5 x -17 = 85
-5 + -17 = -22
two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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(-2,0) lies on the graph of the equation y = |x-1| + 3.
Answer:
Yes true i tried it out
Evaluate the function.
f(x) = x² + 3x - 7
2
Find f(-5)