The question is incomplete, the complete question is:
Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes. What is Carmella’s weekly base salary?
Answer: The base salary of Carmella is $450
Step-by-step explanation:
We are given:
Amount of hours worked by Carmella = 37.5 hours
Amount earned as a base salary = $12/hr
To calculate the base salary, we multiply the total amount of hours worked and the amount earned each hour for it.
[tex]\text{Base salary}=\$ 12/hr\times 37.5hr\\\\\text{Base salary}=\$ 450[/tex]
Hence, the base salary of Carmella is $450
Lin decides to solve the equation using the quadratic formula. Here is her work: xxx=−b±b2−4ac−−−−−−−√2a=−(−6)±(−6)2−4(1)(10)−−−−−−−−−−−−−√2(1)=6±36−40−−−−−−√2 Lin knows 36−40 is a negative number and isn't sure what to do next. Show how Lin can write her solution using i.
Answer:
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Required
Solve, in terms of i
We have:
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Solve the expressions in bracket
[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]
[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]
Express -4 as 4 * -1
[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]
Split
[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]
In complex numbers;
[tex]i = \sqrt{-1[/tex]
So, we have:
[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]
[tex]x = \frac{6 \± 2i}{2}[/tex]
Factorize
[tex]x = \frac{2(3 \± i)}{2}[/tex]
[tex]x = 3 \± i[/tex]
Split
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
need help ASAP thank you :)
Help on this to REAL ANSWERS OR BE REPORTED ok and that good note...
What is the area of the sector that is not shaded?
0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?
The area of the sector that is not shaded is 120π units²
Option C is the correct answer
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The circle has 360°.
This can be written as,
Area = πr² x 360/360
Now,
The area of the not-shaded part has (360 - 60)°
So,
Area = πr² x 300/360
Now,
r = 12 units
Area = π x 12 x 12 x 300/360
Area = 120π units²
Thus,
The area of the sector that is not shaded is 120π units²
Learn more about circle here:
https://brainly.com/question/11833983
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11) The function: f(x)= x^2 – 2x + 3 belongs to
which family of functions?
Answer:
i believe a quadratic function
Step-by-step explanation:
quadratics are when an equation is x^2 so yeah (sorry if thats not what it's asking)
WILL MARK BRAINLIEST!!!!!find the length of AC
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
hey again can u help me with this
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
The best NBA (National Basketball Association) free throw shooters are successful approximately 85% of the time.
The best MLB (Major League Baseball) hitters have a batting average of approximately 0.420.
Who is more likely to be successful after ten attempts?
Answer:
The free show shooters are likely to be successful after ten attempts
Step-by-step explanation:
Being successful 85% of the time means they have a probability of 85/100 = 0.85
This is for the free throw shooters
for the hitters, there is an average of 0.42
Looking at the two, 0.85 is a better probability compared to 0.42
This is because it is closer to 1
What this mean is that after 10 throws, it is possible that the free throw shooters are likely to be successful since they have the better probability
Plz help , due in 5 mins
Answer:
option a) 30 : 19
Step-by-step explanation:
[tex]Length = 7 \frac{1}{2} = \frac{15}{2}\\\\Width = 4\frac{3}{4} = \frac{19}{4}[/tex]
Ratio of length to width:
[tex]\frac{15}{2} : \frac{19}{4}[/tex]
[tex]=\frac{\frac{15}{2}}{\frac{19}{4}}\\\\=\frac{15}{2 } \times \frac{4}{19}\\\\=15\times \frac{2}{19}\\\\=\frac{30}{19}\\\\30 : 19[/tex]
circuference and area of a circle PLEASE HELP
Answer:
Area=12.56
Circumference= 12.56
Step-by-step explanation:
Area formula is [tex]\pi r^{2}[/tex]
Circumference is [tex]2\pi r[/tex]
Answer:
radius=diameter/2
=4/2=2
circumference of a circle= 2πr
=2*3.14*2
=12.56ft
area of a circle=πr2
=3.14*2*2
=12.56ft
Please help me !!!!
Answer:
2(x+3)
Hope u get it correct!!!
Step-by-step explanation:
The table represents a sample of ages and people and their shoes size.
please help me and let me know if this is a function or not and please show me how you got it
Answer:
The table does not represent a function.
Step-by-step explanation:
Every function must have a exactly one y-value for every x-value. Two different x-values can have the same y-value, but two different y-values cannot have the same x-value.
In the table, we see that the same x-value has two different y-values:
[tex](15, \textbf{10}),\\(15, \textbf{10.5})[/tex]
Thus, the table does not represent a function.
Semi easy-which boxplot represent the 5 number summary
HI I NEED THE ANSWER TO THESE ASAP! I have 5 minutes...
Find the measure of each missing angle
Answer:
Step-by-step explanation:
m3= 29%
m6= 35%
m7= 90%
The low temperatures for four nights in December for a city are recorded below.
−4°, 1°, 3°, −2° Which lists the temperatures in the correct order from coldest to warmest?
A) −4°, −2°, 1°, 3°
B) 1°, −2°, 3°, −4°
C) −2°, −4°, 1°, 3°
D) −4°, 3°, −2°, 1°
Answer:
the answer is A
Step-by-step explanation:
its because -4 is the coldest and 3 is the warmest out of the rest
assssssssssssssssssssssssssssssssss
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brother's account?
Answer:
(b) is true
Step-by-step explanation:
Given
Molly
[tex]a = 500[/tex] --- starting balance
[tex]m = 10[/tex] --- monthly rate
Her brother
[tex]a = 100[/tex] ---- starting balance
[tex]r = 10\%[/tex] --- annual rate
Required
Determine which option is true
First, we calculate her brother's function.
The function is an exponential function calculated as:
[tex]y = ab^x[/tex]
Where [tex]b = 1 + r[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y = 100 *(1 + 10\%) ^x[/tex]
[tex]y = 100 *(1 + 0.10) ^x[/tex]
[tex]y = 100 *(1.10) ^x[/tex]
Hence:
[tex]g(x) = 100 *(1.10) ^x[/tex]
Next, we calculate Molly's function (a linear function)
The monthly function is:
[tex]y = mx + a[/tex]
So, we have:
[tex]y = 10x + 500[/tex]
Annually, the function will be:
[tex]y = 10x*12 + 500[/tex]
[tex]y = 120x + 500[/tex]
So, we have:
[tex]f(x) = 120x + 500[/tex]
At this point, we have:
[tex]f(x) = 120x + 500[/tex] ---- Molly
[tex]g(x) = 100 *(1.10) ^x[/tex] ---- Her brother
Next, we test each option
(a): Molly's account will have a faster rate of change over [32,40]
We calculated Molly's function to be:
[tex]y = 120x + 500[/tex]
The slope of a linear function with the form: [tex]y = mx + b[/tex] is m
By comparison:
[tex]m = 120[/tex]
Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.
[tex]m = 120[/tex]
For his brother:
Rate of change is calculated using:
[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]m = \frac{g(40) - g(32)}{40 - 32}[/tex]
[tex]m = \frac{g(40) - g(32)}{8}[/tex]
Calculate g(40) and g(32)
[tex]g(x) = 100 *(1.10) ^x[/tex]
[tex]g(40) = 100 * 1.10^{40} =4526[/tex]
[tex]g(32) = 100 * 1.10^{32} = 2111[/tex]
So, we have:
[tex]m = \frac{4526 - 2111}{8}[/tex]
[tex]m = \frac{2415}{8}[/tex]
[tex]m = 302[/tex]
By comparison: [tex]302 > 120[/tex]
Hence, her brother's account has a faster rate over [32,40]
(a) is false
(b): Molly's account will have a slower rate of change over [24,30]
[tex]m = 120[/tex] --- Molly's rate of change
For his brother:
[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]m = \frac{g(30) - g(24)}{30 - 24}[/tex]
[tex]m = \frac{g(30) - g(24)}{6}[/tex]
Calculate g(30) and g(24)
[tex]g(x) = 100 *(1.10) ^x[/tex]
[tex]g(40) = 100 * 1.10^{30} =1745[/tex]
[tex]g(32) = 100 * 1.10^{24} = 985[/tex]
So, we have:
[tex]m = \frac{g(30) - g(24)}{6}[/tex]
[tex]m = \frac{1745 - 985}{6}[/tex]
[tex]m = \frac{760}{6}[/tex]
[tex]m = 127[/tex]
By comparison: [tex]127 > 120[/tex]
Hence, Molly's account has a slower rate over [24,30]
(b) is false
(c): Molly's account will have a slower rate of change over [0,4]
[tex]m = 120[/tex] --- Molly's rate of change
For his brother:
[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]m = \frac{g(4) - g(0)}{4 - 0}[/tex]
[tex]m = \frac{g(4) - g(0)}{4}[/tex]
Calculate g(4) and g(0)
[tex]g(x) = 100 *(1.10) ^x[/tex]
[tex]g(4) = 100 * 1.10^4 =146[/tex]
[tex]g(0) = 100 * 1.10^{0} = 100[/tex]
So, we have:
[tex]m = \frac{g(4) - g(0)}{4}[/tex]
[tex]m = \frac{146 - 100}{4}[/tex]
[tex]m = \frac{46}{4}[/tex]
[tex]m = 11.5[/tex]
By comparison: [tex]120>11.5[/tex]
Hence, Molly's account has a faster rate over [0,4]
(c) is false
I need your help friends please last time you all helped me get a 70% which is passing
The answer would be $53
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answer:
the answer is the second number line
Find the gradient of the line y= -4x + 5
Answer:
m = -4
Step-by-step explanation:
The given y= -4x + 5 exactly matches the format of the slope-intercept equation y = mx + b.
Thus, the gradient (slope) of the given line is -4.
PLZZZ HELLPPPPP!!!!!!!! Simplify: 5!
120 is the correct answer
Answer:
120
Step-by-step explanation:
The ! denotes a factorial, 5! is simply:
5 * 4 * 3 * 2 * 1 = 120
98 x 63 – 32 x 69 =
Answer:
3966
Step-by-step explanation:
Use order of operations to solve this problem:
ParenthesesExponentsMultiply (Left to right)Divide (Left to right)AdditionSubractionIn your case, there are no parentheses or exponents, so we can skip right the the multiply and divide step. The first multiplication is 98*63=6174. The next step is to do 32*69=2208. Then you minus 6174-2208=3966.
Hope this helps!
Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3
Answer:
c. 2.5
Step-by-step explanation:
4×2.5 => 10
6×2.5 => 15
so scale factor = 2.5
I WILL MARK BRAINLIEST FOR THE FIRST ANSWER AND 15 POINTS! There are 3 gifts to be wrapped and decorated with blue ribbons. one gift requires 25.75 cm of ribbons. I want to tie the ribbon twice around each gift. what length of ribbon will be needed ro wrap 3 gifts?
Answer:
154.5 cm of ribbon
Step-by-step explanation:
I'm assuming all 3 boxes are the same.
if so do 25.75×2 then do 51.5×3.
hope this is right and what you were asking for.
Answer:
okay then I have written it check it out
Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A. 1.21d
B. 0.79d
C. d + 0.79d
D. d + 0.21
Answer:
It is A
Step-by-step explanation:
Your welcome
Let me know if you ever need help! :)
ANSWERR ASAP PLSSS PLLSSS I BEGGG YOUUU
Answer:
(5/1)(4-0)-(-5)(-4-3)
Step-by-step explanation:
You could also get an undefined number by putting any number divided by 0.
A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites, she has to leave for school.
What is the approximate probability that she checked a social website first, then a school-related website?
0.042
0.267
0.533
0.667
Answer:
The approximate probability that she checked a social website first and then a school-related website is 0.267.
Step-by-step explanation:
Given that a student wants to check six websites, and four of the websites are social and two are school-related, and after checking just two sites, she has to leave for school, to determine what is the approximate probability that she checked a social website first, then a school-related website, the following calculation should be performed:
4/6 x 2/5 = X
0.26666666 = X
Therefore, the approximate probability that she checked a social website first and then a school-related website is 0.267.
Answer:
B. 0.267 The guy above me is correct!
Step-by-step explanation:
Edge 2021 Got a 100% on the test
Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 10 to 26, in increments of 1. A left whisker extends from 12 to 15. The box extends from 15 to 21 and is divided into 2 parts by a vertical line segment at 19. The right whisker extends from 21 to 24. All values estimated.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
121212, 151515, 151515, 171717, 202020, 202020, 202020, 222222, 242424
(Choice B)
B
121212, 151515, 151515, 171717, 191919, 191919, 202020, 222222, 242424
(Choice C)
C
121212, 151515, 171717, 171717, 191919, 191919, 222222, 222222, 242424
(Choice D)
D
131313, 151515, 151515, 171717, 191919, 191919, 202020, 222222, 2424
Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
all angle measures to the nearest whole degree.
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Find <A:
Reference angle (θ) = A
Opposite side = 14 cm
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin A = 14/20
A = [tex] sin^{-1}(\frac{14}{20}) [/tex]
m<A = 44° (nearest whole number)
✔️Find <C:
Reference angle (θ) = C
Adjacent side = 14 cm
Hypotenuse = 20 cm
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos C = 14/20
C = [tex] cos^{-1}(\frac{14}{20}) [/tex]
m<C = 46° (nearest whole number)
✔️Find AB:
Reference angle (θ) = C = 46°
Opposite side = AB
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Sin 46° = AB/20
20*Sin 46° = AB
AB = 14.4 cm (one decimal place)
Nicole has 2/3 of the butter needed to make a cake. The same amount of butter is needed to make 1 cake as it does to make 14 mini cakes. What is the largest number of mini cakes Nicole can make with the butter she has?
Answer:
The largest number of mini cakes Nicole can make with the butter she has is 9.
Step-by-step explanation:
Given that Nicole has 2/3 of the butter needed to make a cake, and the same amount of butter is needed to make 1 cake as it does to make 14 mini cakes, to determine what is the largest number of mini cakes Nicole can make with the butter she has, the following calculation must be performed:
2/3 = 0.666
1 = 14
0.666 = X
0.666 x 14/1 = X
9.333 = X
Therefore, the largest number of mini cakes Nicole can make with the butter she has is 9.
