Answer:
$493
Step-by-step explanation:
First you would fid the amount of money he made with 40 hours which is $340
then you would double 8.50 which is 17
then multiply 17 by 9 to get $153
finally you would add $340 and $153 to get $493
AJajijawfjapwfoawfj got it right first I just didn't want to mess anyone up with the answer that I had before which was wrong.
Answer:
C
Step-by-step explanation:
The first step is to calculate the total pay for the week
40 x 8.50 = 340
Next is to find what 8.50 times 2 is because he is getting paid "double" for overtime
8.50 x 2 = 17
Now multiply that by the extra 9 hours
17 x 9 = 153
Now add the total
340 + 153 = $493
Have a nice day fellow :)
the ones placed down i already have an answer too, please help me!!
The simplified expression of \(\sqrt[4]{567(x^9)(y^{11})}\) is \(3x^2y^2\sqrt[4]{7xy^3}\).
Given expression:
\(\sqrt[4]{567(x^9)(y^{11})}\).
We can simplify the expression using the property that says for any non-negative numbers a and b, and any integer n ≠ 0,
\((a\times b)^{n} = a^n \times {b^n}\)
Using this property, we can simplify the expression as follows:
\((567x^9y^{11})^{1/4} = (567)^{1/4} \times (x^9)^{1/4} \times (y^{11})^{1/4}\)
Now we need to simplify,
\((81\times 7)^{1/4}x^{9/4}y^{11/4}\\=(81)^{1/4}(7)^{1/4}(x^{\frac{8}{4}+\frac{1}{4})(y^{\frac{8}{4}+\frac{3}{4})\)
Also,
\({3^4}^{1/4}(7)^{1/4}(x^{2+\frac{1}{4}})(y^{2+\frac{3}{4}})\\=3^1 7^{1/4}x^2x^{1/4}y^2y^{1/4}\\=3x^2y^2(7^{1/4}x^{1/4}y^{3/4})\\=3x^2y^2(7xy^3)^{1/4}\\=3x^2y^2\sqrt[4]{7xy^3}\)
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What is the greatest common factor of 42 and 81?
Answer:
3
Step-by-step explanation:
42 is 2 x 3 x 7
81 is 3 x 3 x 3 x 3
3 is the greatest common factor
Answer:
3
Step-by-step explanation:
3 is the greatest common factor of 42 and 81
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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Which equation describes the graph? y = |x – 2| + 1
y = |x + 1| + 2
y = |x – 1| + 2
y = |x + 2| + 1
An equation that describes the graph include the following: C. y = |x – 1| + 2.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the numerical value on the x-coordinate of the pre-image while the translation of a graph upward simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
Since the parent function is f(x) = |x|, g(x) or y would be created by translating f(x) one (1) unit to the right and two units upward as follows;
f(x) = |x|
g(x) = f(x - 1) + 2
y = |x – 1| + 2
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
help
Savings Account
80
60
Total Saved ($)
40
20
o
2 4 6 8
Time (weeks)
What equation shows the line through the
data points on the graph?
A y = 20x
C y = 15x
B y = x + 20 D y = 40x
Answer:
14 because when you divide it but not sure what yours is about
Step-by-step explanation:
When 1370 subjects were asked, "On how many days in the past 7 days have you felt lonely?" the mean was 1.5 and the standard deviation was 2.16. The margin of error for a 95% confidence interval for the population mean is 0.12. Construct that confidence interval, and interpret it. The confidence interval goes from nothing to nothing. (Round to two decimal places as needed.)
Answer:
Confidence Interval = (1.41, 1.59)
Step-by-step explanation:
To construct a confidence interval for the population mean, we can use the following formula:
Confidence Interval = sample mean ± (margin of error * standard error)
where the standard error is equal to the standard deviation divided by the square root of the sample size.
Given the information provided, we can calculate the standard error as:
standard error = 2.16 / sqrt(1370) = 0.058
Then, we can calculate the margin of error as 0.12.
Substituting these values into the formula, we get:
Confidence Interval = 1.5 ± (0.12 * 0.058)
Confidence Interval = (1.41, 1.59)
Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.
please I need a quick help
Answer:
x intercept (-2,0) y intercept (0,2)
Step-by-step explanation:
Answer:
I'm pretty sure these are the answers
x-intercept (-2,0)
y-intercept (0,2)
Explanation:
x-intercept: Is coordinates where the line hits the x-axis
y-intercept: Is coordinates where the line hits the y-axis
PLEASE HELP ILL MAKE U THE BRAINLIEST
Answer:
Perimeter=4(x+9.1)
Step-by-step explanation:
hope this helps
The volume of a cuboid is 450cm3.
The length is 10cm and the width is 15cm.
Work out the height of the cuboid.
Answer:
3cm
Step-by-step explanation:
The formula for the volume of the cuboid is \(w*l*h=volume\)
We already have the length, width, and volume, so we have to plug it in to the equation.
\(15*10*h=450\) (Just a heads up in case you didn't know: the centimeters cubed is just part of the units, so you don't need to worry about it when plugging it in to the equation.)
To solve for h:
1. Multiply 15 and 10
\(150*h=450\)
2. Divide both sides by 150
\(h = 450/150\)
h = 3
This is in centimeters, so the final answer is 3cm.
The height of a cuboid with a volume of 450cm³ with a length of 10cm and width of 15cm is 3cm.
How to calculate volume?The volume of a cuboid can be calculated using the following formula:
Volume = length × width × height
According to this question, the volume of a cuboid is 450cm³ and has a length of 10cm and the width is 15cm. The height is as follows:
450cm³ = 15cm × 10cm × h
450cm³ = 150²h
h = 450/150
h = 3
Therefore, the height of a cuboid with a volume of 450cm³ with a length of 10cm and width of 15cm is 3cm.
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can somebody help me with this iready problem because I just need 60 minutes and I don't wanna mess this up
Answer:
the answer is 2\(\frac{1}{4}\)
Step-by-step explanation:
(3/4) + (3/4) + (3/4) = 2.25 --> \(2\frac{1}{4}\)
la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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choose the general algebraic representation (notation) for transforming pentagon vwxyz into pentagon qrstu.
The transformation function can be represented as vwxyz \($\rightarrow$\)qrstu = (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u).
This algebraic representation of the transformation of pentagon vwxyz into pentagon qrstu is using the notation of a function. A function takes an input (in this case, the coordinates of pentagon vwxyz) and produces an output (in this case, the coordinates of pentagon qrstu). This transformation can be represented by the notation (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u). This notation means that the coordinates (v,w,x,y,z) are being transformed into the coordinates (q,r,s,t,u). This notation is a concise way of expressing the transformation of pentagon vwxyz into pentagon qrstu. It is important to note that the transformation itself is not specified; the notation is simply used as a way of representing the transformation.
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Answer both please
Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
4x³-3
x² + 4x - 5
7. [-/3 Points]
f(-8)
=
Evaluate f(-8), f(0), and f(4) for the piecewise defined function.
f(x) =
x+4 if x < 0
2-x if x 20
f(0) =
f(4) =
The solution is, the domain is: x ∈ (-∞, ∞).
Here, we have,
When we have two functions, f(x) and g(x), the composite function:
(f°g)(x)
is just the first function evaluated in the second one, or:
f( g(x))
And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:
f(x) = 1/(x + 1)
where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.
Now, we have:
f(x) = x^2
g(x) = x + 9
then:
(f ∘ g)(x) = (x + 9)^2
And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:
x ∈ (-∞, ∞)
(g ∘ f)(x)
this is g(f(x)) = (x^2) + 9 = x^2 + 9
And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:
x ∈ (-∞, ∞)
(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4
And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:
x ∈ (-∞, ∞)
(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18
And again, there are no values of x that cause a problem here,
so the domain is:
x ∈ (-∞, ∞)
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complete question:
Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat
NEED HELP ASAP WILL MARK BESTT
Answer:
a = 36
Step-by-step explanation:
For the system to have no solution, the two lines must have the same slope and different y -intercept, that is, be parallel lines.
The slope of the first line is "-1/2" (negative one half) when we solve for y:
\(y = -\frac{1}{2} x+\frac{11}{6}\)
so we want the slope of the second line to be the same, and the y-intercept to be different:
\(y=-\frac{a}{72} x+\frac{61}{36}\)
We see that the y-intercepts are different, so all is needed now is to find the appropriate a that gives a slope = -1/2, and that a value is 36.
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 36 bag sample had a mean of 444.0 grams. A level of significance of 0.1 will be used. Determine the decision rule. Assume the standard deviation is known to be 22.0. Enter the decision rule.
Answer:
|Z| = |-1.36| < 1.645 at 0.1 level of significance
The null hypothesis is accepted
A manufacturer of banana chips are filling machine works correctly at the mean 449
Step-by-step explanation:
Step(i):-
Given mean of the Population(μ) = 449
The Standard deviation of the population(σ) = 22
size of the sample 'n' = 36
mean of the sample(x⁻) = 444
Given the level of significance(α) = 0.1
Critical value Z = 1.645
Step(ii):-
Null hypothesis:H₀:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0
(μ) = 449
Alternative Hypothesis:H₁: (μ) ≠ 449
Test statistic
\(Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } \\= \frac{444-449}{\frac{22}{\sqrt{36} } }\)
= -1.36
Final answer:-
|Z| = |-1.36| < 1.645 at 0.1 level of significance
The null hypothesis is accepted
A manufacturer of banana chips are filling machine works correctly at the mean 449
A coin having probability p=2/3 of coming up heads is flipped 6 times. Compute the entropy of the outcome of this experiment.
The entropy of the outcome of this experiment = 9
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that,
A coin having probability p=2/3
Heads is flipped 6 times
If the coin is flipped 6 times
The Total Number of Trial in the Experiment =2/3
It comes up heads 6 times
This Means: Number of Successful Outcome of HEADS =6
In an experimental probability,
Experimental probability of the coin’s coming up heads
=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment
= 6/(2/3)
= 6*3/2
= 18/2
= 9
Therefore,
The entropy of the outcome of this experiment = 9
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I really need help :( anybody ??
_______________________________
Hey!!
Answer:{2,4,5}
Explanation:
RangeLet R be relation from A to B.The set of second components or the set of elements of B are called range.
Hope it helps..
_______________________________
Compare -2.3 and -8/3 using symbols <, >, or =.
₋2.3 < ₋8/3 is the correct answer.
Given, we need to compare the terms.
₋8/3 = ₋2.67
therefore, 2.3 is less than 2.667
hence we form it as ₋2.3 < ₋2.67
we form: ₋2.3 < ₋8/3
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Solve for x.x + 47 = -23x =
Given
x + 47 = -23
Find
Solve for x
Explanation
as we have given
x + 47 = -23
subtract 47 from both sides ,
x + 47 - 47 = - 23 - 47
x = - 70
Final Answer
Hence , the value of x is -70
A small aircraft starts its descent from an altitude of h = 1.4 miles, 4 miles west of the runway
a. Find the cubic f(x)=ax3+bx2+cx+d on the interval [−4,0] that describes a smooth glide path for the landing.
b. The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?
Answer:
Step-by-step explanation:
From the question we are told that
Altitude of Height 1.4miles
4miles west
a) From the question
\(f(x)=ax3+bx2+cx+d\) on interval (-4,0)
The descent can be expressed in \(\triangle _x =-4,0\)
therefore initial points is (-4 , 1.4).
final co-ordinate is given by (0,0) as its landing
Mathematically solving in above cubic equation
\(0 = 0 + 0 + 0 + d \\\)
\(d = 0\)
\(1.4 = -64a + 16b -4c + d\)
\(1 = -45.7a + 11.4b-2.9c+d\)
Generally in this case Slope of tangent at point of descent is zero.assuming flight was initially straight before descent
\(f'(x) = 3ax^2 + 2bx+c\)
\(f'(-4) = 48a -8b + c = 0\)
\(f'(0) = c = 0\)
Mathematically solving above equations we have
\(a = \frac{1}{40} \ and \ b = \frac{3}{20}\)
Therefore having found a and b the Cubic equation is given as
\(f(x) = \frac{1}{40}x^3 + \frac{3}{20}x^2\)
b)descent at its greatest rate
\(f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2\)
\(f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2\)
Stem question, can you plz tell me 3 types of natural water vapor other that steam, fog, and clouds, thanks.
Answer:
Smoke, Condensation, mist
Step-by-step explanation:
<3
Acellus
Find the total surface area of this cone.
Leave your answer in terms of 7.
25m
-- 8m
SA = [ ? ]m2
Enter
Answer:
the answer is 264
Step-by-step explanation:
Help I don’t know how to find the answer
Answer:
the correct answer is B. i found it
Martha is standing on a street corner in a big city, facing south.
She walks 5 blocks to the south. Then, she turns right and walks 2
blocks. Then, she turns right and walks 3 blocks. Then, she turns
right again and walks 1 block. Finally, she turns left and walks 4
blocks. What direction is she facing when she is done?
A. East
B. North
C. South
D. West
(Answer is north)
Answer:
If the answer is north why did you post it?
Name an acute angle and give its measure.
Angle: ______ Measure: _____
Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____
Name one right angle. (1 point
Name one straight angle. (1 point)
11. Angle KEF = 40°, Angle KEJ = 50°
12. Angle HEF = 115°, Angle KED = 140°
13. Angle JEF = 90°, Angle KEF = 90°
14. Angle DEF = 180°
Define the term geometry?The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.
11. Acute angles: Those angles are less than 90 degree angles.
Angle KEF = 40°
Angle KEJ = 50°
Angle KEH = 75°
Angle JEH = 25°
Angle HED = 65°
12. Obtuse angles: Those angles are more than 90 degree angles.
Angle HEF = 115°
Angle KED = 140°
13. Right angle: Those angles are 90 degree angle.
Angle JEF = 90°
Angle KEF = 90°
14. Straight angle: Those angles make 180 degree angle.
Angle DEF = 180°
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The box plot below represents some data set. What is the range of the data?
30 32 34 36
38
40 42 44 46
48
Hi! To find the range of a question, subtract the highest number from the lowest.
The highest number is 48
The lowest number is 30
48 - 30 = 18
Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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use the graph to find the local mininimum and the local maximum for the given function.
can u give me a picture maby i can help if thats okay with you
Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?
HELP ME
Answer:
c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.
Answer:
C
Step-by-step explanation: water
A large restaurant chain is curious what proportion of their customers in a given day are new customers. They
are thinking of taking a sample of either n = 50 or nº= 100 customers and building a one-sample z interval for
a proportion using the data from the sample.
Answer:
It is a false statement
The correct statement is -The margin of error from the smaller sample will be \(\sqrt{2}\) times the margin of error from the larger sample.
Step-by-step explanation:
P.S - The exact question is -
Given - A large restaurant chain is curious what proportion of their
customers in a given day are new customers. They are thinking
of taking a sample of either n = 50 or nº= 100 customers and
building a one-sample z interval for a proportion using the data
from the sample.
To find - The margin of error from the smaller sample will be 2 times
the margin of error from the larger sample.
Proof -
We know that
E ∝ \(\frac{1}{\sqrt{n} }\)
For smaller margin, E₁ = \(\frac{1}{\sqrt{50} }\)
For larger margin , E₂ = \(\frac{1}{\sqrt{100} }\)
Now,
\(\frac{E_{1} }{E_{2} } = \frac{\sqrt{100} }{\sqrt{50} } = \sqrt{\frac{100}{50} } = \sqrt{2}\\\)
⇒E₁ = \(\sqrt{2}\) E₂
⇒The margin of error from the smaller sample will be \(\sqrt{2}\) times the margin of error from the larger sample.
So,
It is a false statement.