count the number of triangles,calculate the area then multiply by the no of triangles and again back to rectangle
The amount that Gretchen charges for babysitting is proportional to the number of hours she babysits. She charges $18 to babysit for
1.5 hours
Which equation relates the amount Gretchen charges in dollars, c, and the amount of time in hours that she babysits, h?
Answer:
Gretchen charges $12 dollars per hour
Step-by-step explanation:
$18/1.5=$12
What is the perimeter of parallelogram RSTU, rounded to the nearest whole number?
Given:
The vertices of the parallelogram RSTU are R(-4,4), S(2,6), T(6,2) and U(0,0).
To find:
The perimeter of parallelogram RSTU, rounded to the nearest whole number.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]RS=\sqrt{(2-(-4))^2+(6-4)^2}[/tex]
[tex]RS=\sqrt{(6)^2+(2)^2}[/tex]
[tex]RS=\sqrt{36+4}[/tex]
[tex]RS=\sqrt{40}[/tex]
[tex]RS=6.32[/tex]
Similarly,
[tex]ST=\sqrt{\left(6-2\right)^2+\left(2-6\right)^2}[/tex]
[tex]ST\approx 5.66[/tex]
[tex]TU=\sqrt{\left(0-6\right)^2+\left(0-2\right)^2}[/tex]
[tex]TU\approx 6.32[/tex]
[tex]RU=\sqrt{\left(0-\left(-4\right)\right)^2+\left(0-4\right)^2}[/tex]
[tex]RU\approx 5.66[/tex]
Now, the perimeter of the parabola is:
[tex]P=RS+ST+TU+RU[/tex]
[tex]P=6.32+5.66+6.32+5.66[/tex]
[tex]P=23.96[/tex]
[tex]P\approx 24[/tex]
The perimeter of the parallelogram RSTU is 24 units.
Therefore, the correct option is C.
Note: Unit of perimeter cannot be in square.
what is the effect on the graph of f(x)=x^2 when it is transformed to h(x)=1/8x^2-13?
a.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
b. the graph of f(x) is vertically compressed by a factor of 8and shifted 13 units down
c. the graph of f(x) is horizontally compressed by a factor of 8 and shifted 13 units down
d. the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right
please help!
The transformation of a function may involve any change. The correct option is D.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + d Down by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)The given function f(x)=x² is transformed to h(x)=(1/8)x^2-13, therefore, the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right.
Hence, the correct option is D.
Learn more about Transforming functions:
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Answer:
A.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
what will come in the following series 20 25 23 28 26 31 29 34 _? answer is 31. please explain how?? urgent pls
The series of numbers is adding 5 and then subtracting 2
20+5=25
25-2=23
23+5=28
28-2=26
and so on. Do you understand?
I am a two digit number above 50. the sum of my digits is twelve and the difference of my digits is 4. who am I?
Answer:
The answer should be 84
Step-by-step explanation:
12 - 4 = 8
8 + 4 = 12
8 - 4 = 4
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Sharon buys fabric that costs $6 per yard. She wants to find the number of yards of fabric she can buy for $20. She finds the answer using the problem. 3 r2 6 120 -18 2 Sharon can buy 3 yards of fabric. What does the remainder mean? A. She will have $2 left over. B. She can buy 2 more yards of fabric. O C. She will have 2 yards of fabric left over. D. She needs $2 more to buy another yard of fabric.
Answer:
A. She will have $2 left over
Step-by-step explanation:
I know this because 3 yards of fabric cost $18 dollars so there would be $2 left
Determine the value of x in the diagram.
Answer:
Hello! answer: x = 68
Hope this helps!
Answer:
x = 68⁰
Step-by-step explanation:
112+112+68+x = 360 (Theorem - The sum of the internal angles of a square is 360.)
292⁰+x = 360⁰
x = 360⁰ - 292⁰
x = 68⁰
Answer please and explain
What does the width of a sphere mean? Given the width of a sphere, How do you find the volume?
Answer:
Width just means, diameter.
Step-by-step explanation:
Cuantas veces cabe el 9 en el 45
Answer:
5 veces.
Step-by-step explanation:
9 x 9 x 9 x 9 x 9 = 45
Help pleaseeeeeeeeeeee
30 POINTS! HELP!!
The table shows the probability distribution of siblings of students in a high school with 1500 students. What is the expected value for the number of siblings of a randomly chosen student?
A. 2.5
B. 1.29
C. 1.08
D. 1.11
The expected value for the number of siblings of a randomly chosen student is 1.11.
What is expected value mean?"In a probability distribution, the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value".
For the given situation,
The table shows the probability distribution of siblings of students in a high school with 1500 students.
For number of siblings = 0, Probability = 0.18.
For number of siblings = 1, Probability = 0.65.
For number of siblings = 2, Probability = 0.09.
For number of siblings = 3, Probability = 0.05.
For number of siblings = 4, Probability = 0.02.
For number of siblings = 5, Probability = 0.01.
The formula for expected value mean, E(x) = ΣxP(x)
[tex]E(x)=(0)(0.18)+(1)(0.65)+(2)(0.09)+(3)(0.05)+(4)(0.02)+(5)(0.01)[/tex]
⇒ [tex]E(x)=1.11[/tex]
Hence we can conclude that the expected value for the number of siblings of a randomly chosen student is 1.11.
Learn more about expected value here
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As Darius is skiing down a ski slope, Jorge is on the chairlift on the same slope. The chair lift has stopped. Darius stops directly below Jorge and attempts to toss a disposable camera up to him. If the camera is thrown with an initial velocity of 35 feet per second, the equation for the height of the camera is h = -16+2 +351 + 5, where h represents the height in feet and t represents the time in seconds. If the chairlift is 25 feet above the ground, will Jorge have 01, or 2 chances to catch the camera? If Jorge is unable to catch the camera, when will it hit the ground?
Answer:
0 chances.
2.3 seconds.
Step-by-step explanation:
25=-16t^2+35t+5
0=-16t^2+35t+5
Fixed expenses are $358,000 per month. The company is currently selling 5,300 units per month. The marketing manager believes that a $15,000 increase in the monthly advertising budget would result in a 190 unit increase in monthly sales. What should be the overall effect on the company's monthly net operating income of this change?
Answer:
Change in net operating income = $4,950
Step-by-step explanation:
Missing Detail;
Contribution margin = $105 per unit
Current selling unit = 5,300
Increase in monthly sale = 190 unit
Advertisement cost = $15,000
Find:
Change in net operating income
Computation:
Change in net operating income = [Contribution margin x Increase in monthly sale] - Advertisement cost
Change in net operating income = [105 x 190] - 15,000
Change in net operating income = [19,950] - 15,000
Change in net operating income = $4,950
Jason Is vacationing on the beach and wants to rent an ATV. The table below shows the cost of renting an ATV Including the helmet. What would be the cost of the helmet?
A. $15
B. $20
C. $25
D. $30
Samantha is selling raffle tickets for $1.50 each. At the end of the night she knows that she has made at most $84 in sales. If n represents the number of tickets Samantha sold, then which inequality below models the information given?
Answers
1.50n>84
1.50n<84
1.50n≥84
1.50n≤84
Answer:
1.50n≤84
Step-by-step explanation:
The statement indicates that Samantha knows that she has made at most $84 in sales and this means that that is the higher amount she thinks she can have. So, the total amount could be less than that or equal to that. Also, the total amount she has would be the result of multiplying the price per ticket for the number of tickets sold. Moreover, this amount would be less than or equal to 84 and the symbol that represents less than or equal to is ≤. According to this, the inequality that would model the information is: 1.50n≤84.
13) 7x - 4x
A) 2 - 3x
B) -X
C) 8x
D) 3x
3/4 + (1/3 • 1/6) - ( - 1/2) = ?
A) 3 1/4
B) 2 1/4
C) 1 3/4
D) 3/4
9514 1404 393
Answer:
A) 3 1/4
Step-by-step explanation:
Your calculator can help with this.
__
3/4 + ((1/3)/(1/6)) -(-1/2)
= 3/4 + ((2/6)/(1/6)) + 2/4
= 5/4 + 2/1
= 3 1/4
Q) 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2) = ?
→ 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2)
→ 3/4 + {(1/3) × (6/1)} - ( - 1/2)
→ 3/4 + 6/3 - ( - 1/2)
→ {(3/4) + (6/3)} + 1/2
→ 11/4 + 1/2
→ (11 + 2)/4 = 13/4
→ 3 1/4
Hence, option (A) is the answer.
Evaluate ab-c, if a = 7,b = 8, and c = 12
Answer:
44
Step-by-step explanation:
axb=56
56-c=44
Which angle had a positive measure?
Answer:
the second angle
sorry if wrong
Step-by-step explanation:
Please help me with this. NO LINKS.
Answer:
42.5 units²
Step-by-step explanation:
Total height of rectangle = 3.5 + 2 = 5.5 units
Total area (without triangles removed) = 5.5 x 9.0 = 49.5 units²
The measurements and area of the triangles removed are equal to those on the diagram, so calculate the area of the triangles and subtract them from the total area.
Left: (0.5)(2)(2) = 2 units²
Right: (0.5)(5)(2) = 5 units²
Area: 49.5 - 2 - 5 = 42.5 units²
A report from 2019 claims that the average salary of a retail worker is $15 per hour. You collect data from a random sample of 30 retail workers in Atlanta and calculate the average salary for workers from your sample to be $16.00 with a standard deviation of $2.80. Conduct a hypothesis test to determine if the true average hourly wage of a retail worker is different than the claim of $15.
Answer:
Hypothesis test conclusion , average salary ≠ 15
Step-by-step explanation:
Null Hypothesis [H0] : Average Salary = 15
Alternate Hypothesis [H1] : Average Salary ≠ 15
t = (x bar - μ) ÷ (s / √[n])
Sample Mean [x bar] = 16 , Population Mean [μ] = 15 , Standard Deviation [s] = 2.80 , [Sample number] n = 30
t = (16 - 15) / (2.80 / 5.47)
t = 1 / 0.5
t = 2
As calculated value ie 2 > tabulated critical value ie 1.96 , at significance level 0.05. So, we reject the Null Hypothesis.
Hence, as per Alternate Hypothesis, average salary ≠ 15
i need solution to these two questions please
Answer:
Step-by-step explanation:
4). Given functions are,
[tex]f(x)=\frac{1}{3x}[/tex]
For [tex]x=\frac{1}{12}[/tex]
[tex]f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}[/tex]
[tex]=\frac{1}{\frac{1}{4}}[/tex]
[tex]=1\times\frac{4}{1}[/tex]
[tex]=4[/tex]
[tex]g(x)=\frac{1}{x^2}[/tex]
For [tex]x=\frac{1}{5}[/tex],
[tex]g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}[/tex]
[tex]=\frac{1}{\frac{1}{25}}[/tex]
[tex]=25[/tex]
[tex]f(\frac{1}{12})-g(\frac{1}{5})=4-25[/tex]
[tex]=-21[/tex]
5). f(x) = -2x² + 3x - 8
f(k + 4) = -2(k + 4)² + 3(k + 4) - 8
= -2(k² + 8k + 16) + 3(k + 4) - 8
= -2k² - 16k - 32 + 3k + 12 - 8
= -2k² - 13k - 28
• Diciembre tiene
CIOS.
30 días
Septiembre tiene
días.
2. Resuelve los problemas
Un barco realiza un crucero que visita 5
puertos, uno por semana, si el último puerto
visitado fue el 18 de agosto. ¿En qué fecha
llegó al segundo puerto visitado?
Answer:
Un barco realiza un crucero que visita 5 puertos uno por semana si el último Puerto visitado fue el 18 de agos… Recibe ... un barco realiza un crucero que visita 5 puertos uno por semana si el último Puerto visitado fue el 18 de agosto en qué fecha llegó el segundo Puerto visitado. 1 ... 35 dias de viaje
Jennys room is 13 feet long and 12 feet wide, Ruth's room is 14 feet long and 11 feet wide, whose room has the greater area?
Answer:
Jenny's room
Step-by-step explanation:
13x12 = 156 and 14x11 = 154
Therefore Jenny's room is bigger.
A bike travels 24 miles in 3 hours. At this rate, how many miles will the bike travel in 10 hours?
A 129 miles
B 80 miles
C 32 miles
D 124 miles
Answer:
B) 80 miles
Step-by-step explanation:
Answer:
80 mlies,
Step-by-step explanation:
how I got it. 24÷3 hours is 8miles per hour multiple by 10=80miles
Solve the system of equations.
y= x + 3
y= x2 - 2x-1
Please help :)
9514 1404 393
Answer:
C. (-1, 2) and (4, 7)
Step-by-step explanation:
It may be simplest just to try the answer choices.
We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.
__
The second equation can be written in vertex form as ...
y = (x -1)^2 -2
This equation is not satisfied by the points of choice B.
Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.
However it is a good match for the points of choice C.
Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True
The appropriate choice is ...
(-1, 2) and (4, 7)
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answer:
the mean is the most appropriate 2.75 approximately 3
Step-by-step explanation:
to find the mean sum all observation and divide by the number of observations.
that is
mean = (2+14+1+2+0+1+0+2)/8
= 22/8
= 2.75
= 3
I need help with six and seven plz
Answer:
6) 102
7) 58
NOTE: Supplementary add to 180° and Complementary add to 90°
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?
Answer:
If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.
Step-by-step explanation:
Answer:
8/13
Step-by-step explanation:
Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?
well it would be 8 and 13