Answer:
42 dollars for 6 hrs means that each hour, he gets 7 dollars, assuming that this is a proportional relationship.
56-42=14, he needs 14 more dollars
14/7=2
2 more hrs
Step-by-step explanation:
Simplify. 1+i/1-I + 1/ 1 + i. if i^2 = -1
I guess you mean
(1 + i ) / (1 - i ) + 1 / (1 + i )
in which case, notice that the denominator of both fractions are conjugates of one another. Combine the fractions by multiplying either fraction by the appropriate conjugate:
[(1 + i ) / (1 - i ) • (1 + i ) / (1 + i )]+ [1 / (1 + i ) • (1 - i ) / (1 - i )]
In either denominator, we have a difference of squares:
(1 + i ) (1 - i ) = 1² + i - i - i ² = 1² - i ² = 1 + 1 = 2
→ (1 + i )² / 2 + (1 - i ) / 2
→ ((1 + i )² + (1 - i )) / 2
Expand the numerator:
(1 + i )² + (1 - i ) = (1² + 2i + i ²) + 1 - i = 1 + 2 - 1 + 1 - i = 3 - i
and so
(1 + i ) / (1 - i ) + 1 / (1 + i ) = (3 - i ) / 2
Stem Leaves 13 1 1 2 2 4 4 6 14 3 6 6 7 8 9 15 0 1 4 5 5 7 16 2 5 5 6 8 9 17 2 2 7 8 18 0 2 4 5 5 7 8 19 1 2 2 3 4 20 3 5 5 21 1 2 6 6 6 8 Step 1 of 3 : What is the weight of the lightest person in the group
Answer:
131 is the weight of the lightest person in the group
Step-by-step explanation:
Stem Leaves
13 1 1 2 2 4 4 6
14 3 6 6 7 8 9
15 0 1 4 5 5 7
16 2 5 5 6 8 9
17 2 2 7 8
18 0 2 4 5 5 7 8
19 1 2 2 3 4
20 3 5 5
21 1 2 6 6 6 8
131 is the weight of the lightest person in the group.
If we look closely the stem has the 13 as the lowest number. And corresponding to it the least number is 1.
Therefore the lightest weight person is 131 .All other weights are greater than 131 e.g 132 , 134 and 136 .
The data shows there are 131 ,131, 132,132,134,134, and 136 weights in the least weight group. So out of these 131 is the smallest.
What is the slope of the line?
Answer:
8/5
Step-by-step explanation:
(-1, 4) (4, -4)
-4-4 over 4-(-1)
That is -8/-5.
-8/-5 is simplified to 8/5
Answer:
1.6
Step-by-step explanation:
to find the slope, find two points on the line in the graph.
i'll be using (-1, 4) and (4, -4).
substitute the points into the rise over run equation.
[tex]\frac{rise}{run} = \frac{y1-y2}{x1-x2} =\frac{-4-4}{-1-4}[/tex]
solve the fraction by subtracting first. always remember to subtract the values.
[tex]\frac{-4-4}{-1-4}=[/tex] 1.6
hope this helps (:
the difference of x and 12 is 6
0.512
Write
recurring as a fraction.
Give your answer in its simplest form.
Answer:
[tex]\frac{64}{125} [/tex]
Step-by-step explanation:
[tex]0.512 = \frac{512}{1000} \\ = \frac{128}{250} \\ = \frac{64}{125} [/tex]
At this point just give me the answer so I can move on lol I know how to work it but this one I can’t seem to get♀️
Answer:
888/155
Step-by-step explanation:
Answer:
x= 888/155
Step-by-step explanation:
Which is the equation of the parabola?
y = −one eighth(x + 3)2 + 2
y = one eighth(x − 3)2 − 2
y = one eighth(x + 2)2 + 3
y = −one eighth(x − 2)2 − 3
The equation that represents the given parabola is -
[tex]$y=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2} - 2[/tex]
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph showing a parabola.
Refer tot the graph attached. It shows a step by step process of how the general function of a parabola : y = x² is modified step by step to give the resulting graph. The graph shown in the image is given by equation -
[tex]$y\ +2=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2}[/tex]
Therefore, the equation that represents the given parabola is -
[tex]$y=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2} - 2[/tex]
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Using the table, what is the cost of the luxury items?
A.$108.94
B.$187.12
C.$99.42
D.$78.18
Item Cost Item Cost
Store brand soap $2.99 Name brand soap $3.95
Name brand shoes $38.65 Store brand shoes $20.35
Name brand socks (3 pairs/pack) $6.89 Store brand socks (3 pairs/pack) $7.25
Store brand khakis for work $25.94 Name brand khakis for work $34.50
Name brand dress shirt $24.95 Store brand dress shirt $21.65
Answer:A. 108.94
Step-by-step explanation:
all you do is add up all the name brand items to get your answer and that’s it.
The cost of Luxury items cost $108.94
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Item Cost
Store brand soap $2.99
Name brand soap $3.95
Store brand shoes $20.35
Name brand shoes $38.65
Store brand khakis for work $25.94
Name brand khakis for work $34.50
Store brand dress shirt $ 21.65
Name brand dress shirt $ 24.95
Store brand socks (3 pairs/pack) $7.25
Name brand socks (3 pairs/pack) $6.89
So, the cost of Luxury items is
= 3.95 + 38.65+ 34.50 + 24.95 + 6.89
= $108.94
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
A marketing research company desires to know the mean consumption of meat per week among males over age 26. They believe that the meat consumption has a mean of 3.7 pounds, and want to construct a 80% confidence interval with a maximum error of 0.09 pounds. Assuming a standard deviation of 1.4 pounds, what is the minimum number of males over age 26 they must include in their sample
Answer:
80% confidence interval with Maximum error is
(3.61, 3.79)
Step-by-step explanation:
Explanation
Given the mean of the sample ( x⁻) = 3.7
The maximum error = 0.09
80% confidence interval is determined by
[tex](x^{-} - Z_{0.80} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.80} \frac{S.D}{\sqrt{n} })[/tex]
( x⁻ - M.E , x⁻ + M.E)
( 3.7 - 0.09 , 3.7 +0.09)
(3.61 , 3.79)
Final answer:-
80% confidence interval with Maximum error is
(3.61, 3.79)
PLEASE HELP ME THANK YOU ILL MARK BRAINLESS
Answer: y=4/3x-8
Step-by-step explanation:
13 out of 25 people agreed to help at a charity event. What percentage is
this?
21 out of 40 children arrived on time. What percentage were late? *
Find the percentage
A French test is out of 48 marks.
Simone scores 30 marks.
What is Simone's score as a percentage?
Answer:
Hi! The correct answer is 3.25, 7.6 and 0.3!
Step-by-step explanation:
The perimeter of a rectangular garden is 72 feet. If the width is 8 feet less than the length, write a system of equations involving the length and width, L and W, and solve it to find the dimensions of the rectangle.
Answer:
width -w
length l= 2*w+5
perimeter P=2w+2l, 52=2w+2l
system of equations:
52=2w+2l ------> 26 =w+l (1)
l= 2*w+5 (2)
substitute value of l from second equation into the 1st
26=w+2w+5
26=3w+5
21=3w
w=7
l=2w+5, l=2*7+5, l=19
Answer:
system
52=2w+2l
l= 2*w+5
length 19 ft, width 7 ft
Step-by-step explanation:
do not copy and paste into assignments please put this in your own words if possible
please mark brainliest
What is the slope? (IXL)
Answer:
2/3
Step-by-step explanation:
which is the best approximation for the value 140
Answer:
12
Step-by-step explanation:
PPLSS HELLP!! y=___x+___
Answer:
y= 1x-5
Step-by-step explanation:
This grpah shows a linear equation, for which the formula is y=mx+b. M is the slope, and b is the y-intercept, which means the point on the y-axis when x is zero.
So far= y=_x-5
Now to find the slope, you can take 2 points and use the slope formula, which is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
I used the points (1,-4) and (0, -5)
(1,-4)
[tex]x_{2} , y_{2}[/tex]
(0,-5)
[tex]x_{1} ,y_{1}[/tex]
Plug into formula
[tex]\frac{-4-(-5)}{1-0}[/tex]
negative minus negative becomes a positive
[tex]\frac{-4+5}{1}[/tex]
[tex]\frac{1}{1}[/tex]
The slope is 1, so the equation of the graph is
y= 1x-5
look at picture and answer pls!
Michael and Tracy are carpeting their family room that is 15 1/2 feet long and 12 1/4 feet wide. To find the amount of carpet needed, Michael says to multiply 15 1/2 and 12 1/4 and Tracy says to multiply 12 1/4 and 15 1/2. Who is right? How much carpet is needed?
Answer:
Both of them are right
The amount of carpet needed is 189 7/8 feet
Step-by-step explanation:
Here, we want to get the person with the right calculations step between Michael and Tracy
From what we can see in the question, both exactly have the same calculations
They only differ in the number to put first
So we can say both are right
The amount of carpet needed will be;
12 1/4 * 15 1/2
= 49/4 * 31/2 = 1519/8
= 189 7/8 square feet
70 POINTSSSS HELPPPP !
What is the area of the figure?
40 ft2
84 ft2
96 ft2
can't be determined
Last year, Josh had $20,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 9% simple interest per year. After one year, he received a total of $1560 in interest. How much did he invest in each account?
Answer: $12000 was invested at 7% while $8000 was invested at 9%.
Step-by-step explanation:
Based on the information given in the question, let the amount that was invested at 7% be n.
Therefore,
0.07n + 0.09(20000 - n) = 1560
0.07n + 1800 - 0.09n = 1560
-0.02n = 1560 - 1800
-0.02n = -240
n = 240/0.02
n = 120
Therefore, $12000 was invested at 7% while $8000 was invested at 9%.
you have 24 homework problems for math class. You finish 12 of them during some extra time in class. If you complete 4 more problems while waiting for the bus, what fraction of the 24 problems will remain?
Answer:
8/24
1/3 (simplified)
Step-by-step explanation:
You first subtract the amount of homework you already did
24-12=12
12-4=8
8/24
(optional)
Simplify
8/24 = 1/3
PLEASE HELPPPPPP MEEEEE
L
Answer:
No, it isnt a proportional relationship relationship. False.
Explain the pattern that you notice when dividing by 10, 100, and 1,000
Answer:
when you divide by 100 it is .1 but when you divide by 1000 it is .01 so every time you divide you move the decimal up by one
I hope this helps:
Imagine a researcher posed a null hypothesis that in a certain community, the average energy expenditure should be 2,100 calories per day. He randomly sampled 100 people in that community. After he computed the t value by calculating a two-tailed t-statistic, he found that the probability value was 0.10. Thus, he concluded:
Answer: I fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.
Step-by-step explanation:
Null Hypothesis H₀ : average energy expenditure is 2100 calories per day
Alt Hypothesis H₁: average energy expenditure is NOT 2100 calories per day
now since
P-value (0.10) > ∝ (0.05),
then he should say;
i fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.
Plz help me with this! Thank you
Answer:
-6x and 5x are like terms.
-9 is a constant.
-2y is a term
Professor Rogers has found that the grades on the nursing final exam are normally distributed with a mean of 64 and standard deviation of 11. a) If the passing grade is 54, what percent of the class will fail
Answer:
18.165%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ
From the Question above , we are asked to find the percent of the class that will fail if the passing grade is 54.
The percent of the class that would fail is the percent of the class that has a grade less than(<) 54
Hence,
x is the raw score = 54
μ is the population mean = 64
σ is the population standard deviation = 11
For x < 11
z = 54 - 64/11
z = -0.90909
Probability value from Z-Table:
P(x<54) = 0.18165
Converting to percentage
= 0.18165 × 100
= 18.165%
Therefore, If the passing grade is 54, the percent of the class that will fail is 18.165%
Calculate the area of the shaded area.
area of the rectangle= 18*10=180
area of the triangle= [tex]\frac{18*6}{2}[/tex]=54
180-54=126
The power generated by an electrical circuit (in watts) as a function of its current xxx (in amperes) is modeled by:
P(x)=-12x^2+120xP(x)=−12x
2
+120xP, left parenthesis, x, right parenthesis, equals, minus, 12, x, squared, plus, 120, x
What is the maximum power generated by the circuit?
watts
Answer:
300watts
Step-by-step explanation:
Given the power generated by an electrical device modeled by the equation
P(x) = -12x²+120x
The maximum power generated occurs when dP(x)/dx = 0
dP(x)/dx = -24x+120 = 0
-24x + 120 = 0
-24x = -120
x = 120/24
x = 5
Substitute x = 5 into the modeled function to get the maximum power as shown;
Recall that: P(x)=-12x^2+120x
P(5) = -12(5)² + 120(5)
P(5) = -12(25) + 600
P(5) = -300+600
P(5) = 300
Hence the maximum power generated by the circuit is 300watts
1
The temperature falls from 0 degrees to -12 degrees in 32 hours. Which expression finds the change in
temperature per hour?
7 49
O24
7 49
0-25
49 7
oĀ x
49 7
O"42
Answer:
D. [tex]Rate = -\frac{49}{4}^{\circ} /\frac{7}{2}\ hr[/tex]
Step-by-step explanation:
Given
[tex]T_1 =0^{\circ}[/tex]
[tex]T_2 =-12\frac{1}{4}^{\circ}[/tex]
[tex]Time = 3\frac{1}{2}\ hr[/tex]
Required
Determine the change in temperature per hour
This is calculated as:
[tex]Rate = \frac{T_2 - T_1}{Time}[/tex]
[tex]Rate = \frac{-12\frac{1}{4}^{\circ} - 0^{\circ}}{3\frac{1}{2}\ hr}[/tex]
[tex]Rate = \frac{-12\frac{1}{4}^{\circ} }{3\frac{1}{2}\ hr}[/tex]
Convert to improper fractions
[tex]Rate = \frac{-\frac{49}{4}^{\circ} }{\frac{7}{2}\ hr}[/tex]
Express as:
[tex]Rate = -\frac{49}{4}^{\circ} /\frac{7}{2}\ hr[/tex]
__% of 80 is 40 What is the blank
Answer:
50
Step-by-step explanation:
40/80 = 1/2
1/2 ⇆ 0.5 ⇄ 50%
use the given function F(x)= 0.08x+4.02 to evaluate the values below
a) f (12.6) =
b) f (-1.09) =
I am really stuck it would mean the world if you could help :)
Step-by-step explanation:
Substituting value of x in the equation we get the answers.
The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question as:
F(x) = 0.08x + 4.02
We have to evaluate the values F(12.6) and F(-1.09) for given function.
As per the question, we have
F(x) = 0.08x + 4.02 ....(i)
For evaluate the value F(12.6),
Substitute the value of x = 12.6 in the given function,
F(12.6) = 0.08(12.6) + 4.02
F(12.6) = 1.008 + 4.02
F(12.6) = 5.028
For evaluate the value F(-1.09),
Substitute the value of x = -1.09 in the given function,
F(-1.09) = 0.08(-1.09) + 4.02
F(-1.09) = -0.0872 + 4.02
F(-1.09) = 3.9328
Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
Learn more about the function here:
brainly.com/question/12431044
#SPJ2
