Answer:
There is a multiplication error. The payment should be $48 per month.
basicly le first one
Answer:There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
A table of values for f, g, f ', and g' is given.
x f(x) g(x) f '(x) g'(x)
1 3 2 4 6
2 1 8 5 7
3 7 2 7 9
(a) If h(x) = f(g(x)), find h'(3).
h'(3) =
(b) If
H(x) = g(f(x)), find H'(1).
H'(1) =
a. The value of h'(3) is 45.
b. The value of H'(1) is 36.
The complete table is in the attachment. h' and H are derivates from function h(x) and H(x). Using the Chain Rules to derivate the function.
Calculate the h'(x) function
h(x) = f(g(x))
h'(x) = d/dx {f(g(x))}
h'(x) = f' (g(x)) × g'(x)
h'(3) = f' (g(3)) × g'(3)
h'(3) = f'(2) × 9
h'(3) = 5 × 9
h'(3) = 45
Calculate the H'(x) function
H(x) = g(f(x))
H'(x) = d/dx {g(f(x))}
H'(x) = g' (f(x)) × f'(x)
H'(1) = g' (f(1)) × f'(1)
H'(1) = g'(3) × 4
H'(1) = 9 × 4
H'(1) = 36
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The price of a new car is $42,500. If the sales tax rate is 6.5%, then how much sales tax is being charged
Answer:
$45,262
multiply 45000*6.5%
Step-by-step explanation:
Answer:
$2762.5
Step-by-step explanation:
6.5%×42,500=2762.5
$2762.5 is the sales tax being charged.
$45,262.5 is the total price.
the stage wich is 35 feet wide in real life is 5 inches wide in the drawing . what is the scale of the drawing
Answer: 20 feet
Step-by-step explanation:
The scale is 3 inches to is to 2 feet
As a ratio, it would be:
The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:
Now to find the missing number, cross multiply the fractions first:
Then solve for x:
The answer is 20 feet
Kelia traveled constant rate of 72miles per hour for a total of 414 miles. Use take formula, d=rt, that relates distance, rate, and time to find the number of hours kelia traveled.
We can use the formula d = rt to find the number of hours Kelia traveled.
Given:
Rate (r) = 72 miles per hour
Distance (d) = 414 miles
Using the formula d = rt, we can rearrange it to solve for time (t):
t = d / r
Substituting the given values, we have:
t = 414 miles / 72 miles per hour
Dividing the distance by the rate, we get:
t ≈ 5.75 hours
Therefore, Keila traveled for approximately 5.75 hours.
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A gallon of purple paint covers 400 ft2. How
many gallons will it take to paint one side of
this building purple? Allow the area for
the windows, which will not be painted?
Help!! due in 20 mins
Answer:
i believe A is not true .
Step-by-step explanation:Notice how b,c,and d are all similar . pretend the first box is box a and the second box is box b . the answer choices are all similar in the terms like a/b=b/a or b/a=a/b . yet answer A is like a/a=b/b and it makes no sense
2. for each of the following variables, tell me level of measurement and what statistic you would use to quantify central tendency and variability. a. body weight in pounds b. number of cigarettes smoked in a day c. ethnicity d. birth order (i.e., first born, second born, etc.)
In the following question, among the conditions given, the option- a,b and c stand the same ie- The level of measurement is a ratio. The statistic used for the central tendency is the mean or median, whereas d. birth, "is ordinal."
1. Body weight in pounds: The level of measurement is a ratio. The statistic used for the central tendency is mean or median, while for variability, standard deviation or variance can be used.
2. Number of cigarettes smoked in a day: The level of measurement is a ratio. The statistic used for the central tendency is mean or median, while for variability, standard deviation or variance can be used.
3. Ethnicity: The level of measurement is nominal. The statistic used for the central tendency is the mode, while for variability, there is no appropriate statistic.
4. Birth order: The level of measurement is ordinal. The statistic used for the central tendency is median or mode, while for variability, range or interquartile range can be used.
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This grid shows the location of three points.
Enter the distance, in units between point A and point C
The distance between point A and C is 10 units.
To find the distance between two points in a plane, we use the distance formula, which is given as:
d = \(\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }\)
Here, point A has coordinates (-2,4) and point C has coordinates (-2,-6).
Substituting the values into the formula, we get:
d = \(\sqrt{(-2-(-2)))^{2}+(-6-4)^{2} }\)
= \(\sqrt{0^{2} +(-10)^{2} }\)
= \(\sqrt{100}\)
= 10
Therefore, the distance between point A and point C is 10 units.
Geometrically, we can visualize the points A and C on a coordinate plane. Point A is located at x = -2 and y = 4, while point C is located at x = -2 and y = -6. Since both points have the same x-coordinate, they lie on a vertical line. The distance between them is the vertical distance between their y-coordinates, which is equal to 10 units.
Correct Question :
This grid shows the location of three points. Enter the distance, in units between point A and point C.
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What is the value of t in this equation?
(-12)-5 =jt
Answer:
t = 60
Step-by-step explanation:
Using the rule of exponents
\((a^m)^{n}\) = \(a^{mn}\) , then
\((j^{-12}) ^{-5}\)
= \(j^{(-12(-5))}\)
= \(j^{60}\)
Then t = 60
what is the reverse of multiply by 44
The reverse of multiply by 44 is: 0.02272727.
Multiplicative inverseInstead of multiplying by 44 we can divide by the reciprocal of 44 reason been that division is the multiplicative reverse. Dividing by a digit is the same things as multiplying by the reciprocal of the digit.
Hence,
reverse of multiply by 44
Let the multiplicative reverse by x
44 (x)=1
x=1/44
x= 0.02272727
Prove:
0.02272727×44
=1
Therefore the reverse of multiply by 44 is: 0.02272727.
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Question: Use the partial products 3,840 and 640 to find the product 128 x 35. How many pens arr in 35 full boxes?
Answer:
hope this helps
Step-by-step explanation:
A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70
Answer:
first part: y=2.63x
second part: y=2.08x
Step-by-step explanation:
1) 7.90 / 3 = 2.633333 (I rounded to 2.63)
2) 18.70 / 9 = 2.07777 (I rounded to 2.08)
I hope this what you were asking
The cab ride for the 3.8 mile trip is $8.4 .
What is the slope of a straight line?Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
the points are (3, 7.90) and (9, 18.70)
y = mx + b
m = y2-y1/x2-x1
m = (18.70 - 7.90)/(9-3)
m = 10.8/6
m = 1.8
y = 1.8x + b
Put the values of x and y to find b ;
y = 1.8x + b
18.70 = 1.8(9) + b
10.5=8.75 + b
b=1.75
The equation of the line is y = 1.8x + 1.75
y=(1.8 X 3.8) + 1.75
y=6.65+1.75
y=8.4
Thus, The cab ride for the 3.8 mile trip is $8.4 .
The complete question is
A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70. How much does a 3.8-mi cab ride cost?
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Two friends, Francisco and Zoe, had just bought their first cars. Zoe uses 14 gallons of gas to drive 390.6 miles in her car. The graph below represents the number of miles, y, that Francisco can drive his car for every x gallon of gas.
Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept
We can use the data given in writing out our equation
y = Number miles coveredx = number of gallon390.6 = 14x
If 14 gallons = 390.6 miles
1 gallon = x miles
x = 390.6 / 14
x = 27.9 miles
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It is reported almost 50% of the COVID 19 cases exhibits symptom of cough. It is prior known that during the winter season, it is expected a person to have cough symptom with probability of 1/5. Besides, it is also prior known a person to possible to be infected with COVID 19 with a probability of 1/200 during winter. Based on this scenario, solve the probability that a doctor will diagnose a person to be infected with COVID 19 if the person found to be coughing during medical examination.
We can calculate the probability that a person diagnosed with a cough is infected with COVID-19. The probability is found to be approximately 0.0025 or 0.25%.
To solve for the probability that a person diagnosed with a cough is infected with COVID-19, we can use Bayes' theorem. Let's denote A as the event of being infected with COVID-19, and B as the event of having a cough. We are interested in finding P(A|B), the probability of being infected with COVID-19 given that the person has a cough.
According to Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) is the probability of having a cough given that a person is infected with COVID-19, which is stated as 50% or 0.5.
P(A) is the prior probability of being infected with COVID-19, which is given as 1/200 or 0.005.
P(B) is the probability of having a cough, which can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (0.5 * 0.005) + (0.2 * 0.995)
= 0.0025 + 0.199
= 0.2015
Plugging these values into Bayes' theorem:
P(A|B) = (0.5 * 0.005) / 0.2015
= 0.0025 / 0.2015
≈ 0.0124 or 0.25%
Therefore, the probability that a person diagnosed with a cough is infected with COVID-19 is approximately 0.0025 or 0.25%.
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PLS HELP
What is the range of f(x) = |x| + 7?
−7 ≤ y < ∞
−∞ < y ≤ −7
0 ≤ y < ∞
7 ≤ y < ∞
The range of the function f(x) = |x| + 7 is given by the option presented as follows:
7 ≤ y < ∞.
How to obtain the range of a function?The range is composed by the set containing all the values assumed by the output of the function, that is, all the numeric values assumed by the function.
In the context of this problem, the function is defined as follows:
f(x) = |x| + 7.
The parent function is the absolute value function g(x) = |x|, which gives the distance of a point x from the origin, assuming real values of at least 0, as a distance cannot be negative.
The addition by 7 means that the parent function was translated up seven units, meaning that the minimum value assumed by the range is seven, and the range of the function is given by the last option given as follows:
7 ≤ y < ∞.
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How many solutions does this equation have? 9z = –8 + 7z
-no solution
-one solution
-infinitely many solutions
Answer:
one solution.
Evaluate the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 3, 0 ≤ v ≤ 2.
the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v is 10\(\sqrt{14}\)
The surface element is
dS = || ∂r/∂u x ∂r/dv || du dv
where
r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k
r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k
is the vector parameterization for the surface S.
The normal vector to the surface is
∂r/∂u x ∂r/dv
… = (i + j + 2 k) x (i - j + k)
… = 3 i + j - 2 k
and has norm
|| ∂r/∂u x ∂r/dv || = √(3² + 1² + (-2)²) = √(14)
Now compute the integral:
∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv
… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv
… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv
… = √(14) ∫₀¹ (8 + 2v) dv
… = √(14) (8v + 2v²) |₀¹
… = 10 √(14)
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find the circumference of the circle using 3.14 for pi
Answer: 34.54
Multiple 11 by 3.14 and you'll get 34.54
and if you need the radius just divide 11 by 2 and get 5.5
I hope this helps! :)
in response to recent unusual earthquake activity, a large city has enacted an ordinance requiring the permanent placement of seismographic equipment in the basements of 20 randomly selected commercial buildings throughout the city as part of the creation of an early-warning network. although the owners of the buildings will not be compensated, the cost of the purchase and installation of the equipment is to be borne by a private university that will operate the early-warning network. the owner of one building that has been randomly selected as a site for this equipment has challenged this law as unconstitutional, though the actual impact on him would be negligible. should the court rule in favor of the owner?
The court should not rule in favor of the owner, as the ordinance is likely constitutional. The ordinance is likely to be upheld as an exercise of the city's police power, which grants local governments the authority to pass laws and regulations in the interests of public health, safety, and welfare.
Furthermore, the ordinance does not appear to be an unreasonable exercise of the city's police power, as the installation of seismographic equipment is likely to benefit the public interest by providing early warning in the event of an earthquake. Moreover, the ordinance does not appear to be overly burdensome on the owner, as the cost of the purchase and installation of the equipment is to be borne by a private university, and the owner will not be compensated.
In short, the ordinance does not appear to be an unconstitutional taking of private property, as the owner's burden is minimal and the public benefit is substantial.
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the united nations stores data about the kilowatt-hours of wind power produced around the world. the following data set gives information of the united states for 25 years, from 1990 to 2014, in units of million kilowatt-hours. using a calculator or statistical software, find the linear equation of the first 11 years of data, from 1990 to 2000. round the slope to two decimal places and the y-intercept to the nearest whole number. provide your answer below:
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
Given data;
Here, we present the dataset from the United Nations, which contains information on the number of kilowatt-hours of wind energy generated globally. The data set provides statistics on the US for 25 years, from 1990 to 2014, in millions of kilowatt-hours.
The linear equation for the first 11 years of data, from 1990 to 2000, must be determined.
To determine how much the actual value and anticipated value for the year 2001 differ in Quantity, we must first forecast the value for the year 2001 using our fitted equation with y-intercept.
It will be written as y = m(x) + c.
where,
The dependent variable is y. (in our example is quantity)
The independent variable is x. (in our example is the year)
'm' is equal to the slope of the variable X.
'C' is a constant.
The fitted equation is provided as follows:
Quantity = 186.87 (year) - 369274.72
Now that the value for the year 2001 has been provided,
Quantity = -1868.87 -369274.72
Quantity = 4652.15
The value that the linear equation predicts for the year 2001 is 4652.15.
The precise figure for 2001 is 6806.
For the year 2001, the discrepancy between the actual and anticipated values is
6806 - 4652.15 = 2173.85
The distinction is 2173.85.
(2173.85/6806)*100 is the percentage difference.
As a result, the difference between the actual value and the forecasted value for the year 2001 is 31.94%.
Hence,
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
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The function f(x) = x + 3 represents the length of a rectangle, and the function g(x) = 6x − 5 represents the width of the rectangle. What is the area of the rectangle if x = 3?
−72
19
78
117
Answer: 78
Step-by-step explanation:
(3) + 3 = 6
6(3) - 5 = 13
13 x 6 = 78
:)
Can someone help me? It's urgent and thank you!
Answer:
25%
Step-by-step explanation:
There are 8 animals in total and when ana animal is selected at random the probability of it being a bird is 2/8 that's simplified is 1/4 which is equal to 25% out of 100%
25%
Step-by-step explanation:
Total ratio=2+2+1+3=8
Birds =2
2÷8×100=25%
mrs. taylor picked up 2 bottles of peridex 0.12% rinse. each bottle is 1 pint. how many milliliters total did she get
The total amount of millimeters obtained by Mrs. Taylor was
946 ml
What is a fraction?Fractions are also called fractional numbers are defined as an expressed numerical value denoting a division and is expressed in the form:
x/y
Where:
x = numerator or dividingy = denominator or divisor.If the bottles have 12% peridex and we want to know the amount between the two, then we should know that it is a pint.
A pint is a unit of measurement for liquids
473 cm³ = 473mlSince two bottles were found, we must multiply the value by two.
2 x 473 = 946 ml
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12/2 . 12/3. Simplified
The simplification of the improper fraction is 24.
Simplification of the improper fraction.Improper fractions are fractions that consist of the numerator and the denominator. The multiplication of improper fractions involves multiplying the numerators with each other and the denominators with each other, then looking for the common term that is divisible by both the numerator and denominator.
Given that:
= 12/2 × 12/3
Multiply the numerator together.
= 144/ ( 2 × 3)
Multiply the denominator together
= 144/ 6
Look for a common term
= (24 × 6)/6
Divide 6 from both the numerator and denominator;
= 24.
Therefore, we can conclude that the result of the multiplication process is 24.
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A parallelogram has adjacent sides that are 11. 0 cm and 15. 0 cm long. The angle between the sides is 50°. Determine the length of the shorter diagonal to the nearest 10th of a centimetre.
Please help and explain your answer thoroughly,,
the answer is 11.57cm
I hope this helps
Jimmy earns a gross income of $2,500 every two weeks. deductions from each paycheck include insurance, retirement, and taxes, which total $1,000. starting with his next paycheck, his insurance will increase by $50. what conclusion can be drawn about his income with this change?
The conclusion that can be drawn from Jimmy's income with the change in insurance is that Jimmy's net income would decrease.
What happens to net income when expenses rise ?When expenses rise, net income will decrease. Net income is calculated by subtracting expenses from gross income, so if expenses increase, the amount of net income will decrease.
This means that with the increase in insurance by $ 50, Jimmy can expect that his net income would decrease by a total amount of $ 50 which is the amount the insurance increased by.
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Graph this function using intercepts:
18x–42y=1,260
Answer: 260 on graph
Step-by-step explanation: 18x - 42y = 1
Which of the following angles is supplementary to <10?
214
1
G. O 412
H. O 211
J.
O 27
K. O 24
F.
The supplementary angles to 27° will be 153°.
How to calculate the angle?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees. If the two additional angles are combined, they create a straight line and an angle.
However, it should be emphasized that the two complementary angles do not necessarily need to be close to one another. As a result, any two angles can be supplementary if their sum is 180 degrees.
The angle will be:
= 180° - 27°
= 153°
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Which is the supplementary angles to 27°?
a. 153°
b. 24°
c. 21°
d. 211°
HELP. Please answer my question, picture below
The polynomial equation that represents the perimeter of the frame is determined as 18x + 2.
What is the perimeter of the frame?The perimeter of the frame is the distance round the frame, and the polynomial equation that represents the perimeter of the frame is calculated as follows;
The given dimension of the frame;
width of the frame = 6x + 3
length of the frame = 2x - 4
The perimeter of the frame is calculated as;
P = 2 (6x + 3) + 2x - 4
P = 12x + 6 + 2x - 4
P = 18x + 2
Thus, the polynomial equation that represents the perimeter of the frame is determined as 18x + 2.
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Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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