She will earn $924 if she works 38.5 hours this week
How much will she earn if she works 38.5 hours this week?The function is given as
w(h) = 24h, if h < 40
w(h) = (36(h-40)+960 h> 40
If she works 38.5 hours this week, then
h < 40
So, we use
w(h) = 24h
This gives
w(38.5) = 24 * 38.5
Evaluate
w(38.5) = 924
Hence, she will earn $924 if she works 38.5 hours this week
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Use the GCF and the Distributive Property to rewrite the following expression: 24 + 27. Please I need help
Answer:
= 6(4 + 5)
Step-by-step explanation:
GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac
The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)
24 divided by 6 = 4
30 divided by 6 = 5
This fits B the most: 6(4 + 5)
Step-by-step explanation:
The volume of the given right circular cylinder is 256π cubic yards. If h, the height of the cylinder is 16 yards, what is r, the radius of the base?
8 yards is the radius of the base
The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of the prism, and h is the height of the prism.
If the volume of a rectangular prism with a length and width of 3 inches is 81 cubic inches, what is the height of the rectangular prism?
A.
9 inches
B.
75 inches
C.
14 inches
D.
27 inches
Answer: It is A, or 9 inches
Step-by-step explanation:
1. We know that the length and width is 3, so that is 3 * 3, which is 9
2. Therefore, with the volume of 81, we would know that 9 * 9 is 81, so the height is 9 inches
1.) What is the least positive integer divisible by the numbers 2, 3, 4 and 5? Show your work.
how to multiply a fraction(s)?
Fractions Context: How do they work? -
- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.
- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.
(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)
- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.
________________________________________________________
How can we muiltiply fractions?
Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.
Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]
Think we're done here? Haha, not in the least!
Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.
6/20 can be divided by 2 on both the numerator and the denominator.
3/10 would be the FINAL ANSWER!
________________________________________________________
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Have a WONDERFUL day! (:
a fibanachi sequence begins with 1 1 3 5 8 what is the 8t term
Answer:
Fibonacci sequence is one of the most known formulas in number theory. In the Fibonacci sequence, each number in the series is calculated by adding the two numbers before it. Generally, the first two terms of the Fibonacci series are 0 and 1.
Any Fibonacci number can be calculated by using this formula,
xn = (φn − (1−φ)n)/√5
xn denotes Fibonacci number to be calculated
φ is Golden ratio = 1.618034
the condition given in the question and applying the Fibonacci formula:
By the use of the Fibonacci number formula, we can calculate the rest of the Fibonacci numbers like 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.
Therefore, the 8th term will be 21.
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translation: 2 units down
D(-4,1), A(-2, 5), S(-1, 4), N(-1,2)
Answer:
D (-4, -1), A (-2, 3), S (-1, 2), N (-1, 0)
Tip:
To move a point down by two units, subtract the y in (x, y) by 2.
Over the interval 4 ≤ x ≤ 8, does f(x) or g(x)=2x^2+x-1 have a greater average rate of change? Show your work below.
The X coordinates for this interval should be 4, 8 with the y coordinates being 0, 14
I just don't understand what the difference between f(x) and g(x) is supposed to be
Answer:
Function g(x) has the greater average rate of change over the given interval.
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Given:
f(4) = 0f(8) = 14Therefore, the average rate of change for the function f(x) over the given interval 4 ≤ x ≤ 8 is:
[tex]\sf \implies\dfrac{f(8)-f(4)}{8-4}=\dfrac{14-0}{8-4}=3.5[/tex]
Work out values of function g(x) for x = 4 and x = 8:
[tex]\implies \sf g(4)=2(4)^2+(4)-1=35[/tex]
[tex]\implies \sf g(8)=2(8)^2+(8)-1=135[/tex]
Therefore, the average rate of change for the function g(x) over the given interval 4 ≤ x ≤ 8 is:
[tex]\implies \sf \dfrac{g(8)-g(4)}{8-4}=\dfrac{135-35}{8-4}=\dfrac{100}{4}=25[/tex]
Therefore, function g(x) has the greater average rate of change over the interval 4 ≤ x ≤ 8, as 25 > 3.5.
60 Points!
a function is decreasing on an interval if the output values decrease as the input values decrease.
a .true
b .false
Answer:
A: true
I'm positive
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Find the perimeter of the triangle. Round your answer to the nearest
hundredth.
W
X
Y
units
Since, we have to find the sides of the given triangle we will make it a right angle triangle.
Construction: Extend XY to 1 unit and name it Z and join the point W with Z.
Now, the triangle YWZ is a right angle triangle where
YZ = 1 unit
WZ = 3 units
Then [tex]WY = \sqrt{(YZ)^{2}+ (WZ)^{2} }[/tex] [By Pythagoras Theorem]
= [tex]WY = \sqrt{(1)^{2}+ (3)^{2} }[/tex]
= [tex]WY = \sqrt{(10) }[/tex]
= [tex]WY = 3.16[/tex] units
Now, the triangle XWZ is also a right angle triangle where
XZ = 3 units
WZ = 3 units
Then [tex]WX = \sqrt{(XZ)^{2}+ (WZ)^{2} }[/tex] [By Pythagoras Theorem]
= [tex]WX = \sqrt{(3)^{2}+ (3)^{2} }[/tex]
= [tex]WX = \sqrt{18[/tex]
= [tex]WX =4.23[/tex] units
Now, In triangle XYW
XY = 2 units
WY = 3.16 units
WX = 4.23 units
∴ The perimeter of the triangle XYW will be
XY + WY + WX
= 2 + 3.16 + 4.23
= 9.39 units
To the nearest hundred, 9.39 rounds to 9
⇒ The perimeter of the triangle XYW is 9 units.
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write the equation in slope intercept form for the line with the given slope that contains the given point.
slope=1;(-2,3)
Answer:
y = x + 5
Step-by-step explanation:
m = 1, x = -2, y = 3
y = mx + b
3 = 1(-2) + b
3 = -2 + b
b = 3 + 2 = 5
therefore
y = x + 5
Interpret the quote in the context of what you learned. (Finance)
"Life was a lot simpler when what we honored was father and mother rather than all major credit cards."
Answer: i knew this before but i forgot
Step-by-step explanation:
.
Find the zero(s) of f(x) = -4x + 6
The zero(s) of function f(x) = -4x + 6 is [tex]x=\frac{3}{2}[/tex]
As per the question statement, We are given a function [tex]f(x) = -4x + 6[/tex] and we are supposed to find the zero(s) of the function.
We know that zero of a function is the value of the function at which the value of function becomes absolute zero.
For that we have to equate the function to zero first.
f(x) indicates the function with variable in "x"
For zero(s), of f(x)
Let f(x) = 0
[tex]f(x) = -4x+6=0\\4x=6\\x=\frac{6}{4} \\x=\frac{3}{2}[/tex]
Therefore value of x at which f(x) is zero is [tex]x=\frac{3}{2}[/tex]
Zero(s) of a polynomial: The zeroes of a function is the value of the variable at which the value of the function becomes zero.To learn more about zeros of a function, click on the link given below:
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Find the measure of the segment indicated.
RM = 24
SP = 30
Find QM
I am being tested on this tomorrow but this doesn’t make sense to me
3/8 divided by 9/10 is what
Answer:
5/12
Step-by-step explanation:
Answer:
5/12.
Step-by-step explanation:
3/8 / 9/10
= 3/8 * 10/9
= 1/8 * 10/3
= 1/4 * 5/3
= 5/12
Which ordered pair represents the solution to:
3x - 12y = 16
7x + y = 43
A. (6,4)
O B. (4,6)
C. (-4, 6)
O D. (-6,4)
E. (6,-4)
Answer:
none
Step-by-step explanation:
kindly check your equations as well as the options, there is an error in them!!
Write the expression in radical form x 3/7
Answer:
[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]
Step-by-step explanation:
Hope this helps
Answer:
[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]
Step-by-step explanation:
That is your answer
A person is $1000 on the credit card that charges an interest rate of 2% per month complete the table showing the car to balance each month if you do not make any payments
Answer:
Month Total Bill
1 1000
2 1,020
3 1,040.40
4 1,061.21
5 1,082.43
6 1,104.08
7 1,126.16
8 1,148.69
Step-by-step explanation:
Use the formula for compound interest
[tex]A = P(1+r)^t[/tex]
where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods
Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months
So 1 + r = 1+0.02 = 1.02
We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02
All figures rounded to the nearest cent
Answer
Month Total Bill
1 1000
2 1,000 x 1.02 = 1,020
3 1,020 x 1.02 = 1,040.40
4 1,040.40 x 1.02 = 1,061.21
5 1,061.21 x 1.02 = 1,082.43
6 1,082.43 x 1.02 = 1,104.08
7 1,104.08 x 1.02 = 1,126.16
8 1,126.16 x 1.02 = 1,148.69
give one (1) example that illustrates the difference between data and information, and briefly explain how your example shows this difference. do not use the example given in lecture 1.
The key points of difference between data and information are -
"Facts and figures" are the simplest definition of the word "data." Each piece of information is a little fact that, by itself, doesn't mean anything. Data can refer to a single fact or a group of related facts. Its root, datum, is a Latin term that means "something provided."
A collection of facts is called data. You interpret such things in context by having information.Information is structured or ordered, whereas data is not.Data is a mass noun, but information is an uncountable noun.Information, as opposed to data, is often valuable on its own.In general, data consists of numbers, statements, and characters in their basic forms. Information does not necessarily.Data depend on information.To learn more about data and information from given link
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if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
55,820 in scientific notation
Answer: 5.582 * 10^4
Step-by-step explanation:
55,820=
55,820/10,000 * 10,000=
5.5820 * 10,000 =
5.5820 * 10^4 = 5.582 * 10^4
what is the scale factor of the two triangles
The scale factor of the the larger triangle to the smaller triangle is: 3.25.
How to Calculate a Scale Factor of a Dilation?When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.
Find the scale factor of the larger triangle to the smaller triangle:
One dimension of the larger triangle = 13
Corresponding dimension of the smaller triangle = 4
Scale factor of the dilation = 13/4
Scale factor of the dilation = 3.25
Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.
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A child measured 120 centimeters in a semiannual checkup with the doctor. What would be the child's height at the next office visit if the child grew by 2.51 centimeters?
Answer:
120+2.51=122.51cm
Write a conjecture that describes the pattern in the sequence. Then use your conjecture to find the next item in the sequence. 0,2,4,6,8
The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
How to write a conjecture that describes the pattern in the sequence?The sequence is given as:
0, 2, 4, 6, 8
In the above sequence, we can see that each current term is 2 added to the previous term
i.e.
Tn = 2 + Tn-1
Using the above conjecture, we have
Next term = 8 + 2
Evaluate
Next term = 10
Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
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ALGEBRA Michella Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle's annual salary
Answer:
Her annual salary is $62,400
Step-by-step explanation:
Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.
Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
The equation we get is:
12(x+2800) = 26x
Multiply the bracket by 12:
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
x = 2400
Her pay increased by 2800 each period:
2400 + 2800 = 5200 per check.
5200 x 12 months = 62400
Her annual salary is $62,400
To jump at a local trampoline park, each attendee is charged $14.75 per hour. In addition, each attendee must spend $3.50 to purchase a pair of jumping socks. The trampoline park also offers food specials. Currently, attendees can purchase a super pizza deal, which includes a large pizza and a pitcher of soda, for only $15.50 . Five friends decide to visit the trampoline park. Each friend will buy a pair of socks and jump for two hours. The friends will also buy one super pizza deal to share.
Answer:
Step-by-step explanation:
(14.75x10)+(3.5x5)+15.50= 180.5
14.75= trampoline per hour
10= the friends 2x hours
3.5= socks
5= the number of friends
15.50= the super pizza deal
Can someone help with this?
Answer:
35
Step-by-step explanation:
There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.
Hope this helps you
a) The quadratic x² - 4x-21 can be written in the form (x + a)² + b
Find the values of a and b.
quadratic formula
Helpppp slove plssssssssssssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
if 14/6=32/4
12/4=3 y-6=3 y=9
0/4=0 y-6=0 y=6
if y=4 x=-8
y=-3 x=-36
Answer:
Step-by-step explanation:
y = 6 - (x/4) replace the given values with x or y
x : y
32 : 14
12 : 3
0 : 6
8 : 4
36 : -3
Cancel down the following fractions: 9/72