Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (2,3) A. (-2, -3) B. (3, -2) C. (2, -3) D. (-3, 2)
Answer:
D
Step-by-step explanation:
Given
[tex]R_{y-axis}[/tex] ￮ [tex]R_{y=x}[/tex] : (2, 3 )
Then the order of reflections is from right to left, that is
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
(2, 3 ) → (3, 2 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
(3, 2 ) → (- 3, 2 ) → D
plz help bored and need an answer.
Answer:
the answer to this question would be 9 which is B
Sally borrows some money at a 15% interest rate. She repays the loan in full after 30 months and pays $1692 in interest. How much did she borrow?
Answer: $4512 was the amount she borrowed.
Step-by-step explanation:
SI = 1692
R = 15% = 0.15
T = 30 months = 2.5 years
SI = PRT
1692 = P x 0.15 x 2.5
1692 = 0.375P
P = 1692 / 0.375
P = 4512
Tim works for a company his normal rate of pay is 10 per hour on Friday Tim worked 4 hours overtime his overtime pay is 1 1/2 times his normal pay. Work out how much money Tim was paid for his over time on Friday
Answer:
60 .
Step-by-step explanation:
Normal pay for 4 hours = 10 * 4 = 40.
Overtime for 4 hours = 40 * 1 1/2
= 60.
Tim was paid 15 for his overtime.
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:
Normal pay of Tim= 10
Overtime hours= 4
and, overtime pay = 1 1/2 of 10
So, the overtime pay
= 3/2 of 10
= 3/2 x 10
= 15
Hence, Tim was paid 15 for his overtime.
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PLEASE HELP ASAP THANKS A LOT
Answer:
The 8ft tall pine tree will not affect the box plot here is why........
Outliers are important because they are numbers that are "outside" of the Box Plot's upper and lower fence, though they don't affect or change any other numbers in the Box Plot they are still important.
If you want to find your fences you will first take your IQR and multiply it by 1.5. I call this your "magic number".
Lower fence: Take your Q1 and subtract it from your magic number, that number your get is your lower fence.
Upper fence: Take your Q3 and add it to your magic number, that number you get is your upper fence.
Two random samples were done to determine how often
people in a community go to the dentist.
The first sample surveyed 10 people as they entered
their workplaces. The first sample found that the mean
time between visits to the dentist was 7.5 months.
The second sample surveyed 50 people as they entered
the local grocery store. The second sample found that
the mean time between visits to the dentist was 18.1
months.
Complete question:
Two random samples were done to determine how often people in a community go to the dentist the first sample surveyed 10 people as they enter their workplaces. The first sample found that the mean time between visits to the dentist with 7.5 months. The second sample survey 50 people as they enter the local grocery store. The second simple found that the mean time between visits to the dentist is 18.1 months. Which statements are true check all that apply
1) The first sample is likely to be more representative of the population.
2) The second sample is likely to be more representative of the population.
3)The second sample will give a better representation because it is larger.
4) The first sample is not biased.
5) Community members probably visit the dentist about once every 18 months.
Answer:
2,3,5
Step-by-step explanation:
2) The second sample is likely to be more representative of the population, this is because the number of observations in the second sample is more than the number of observations in the first. And the more the sample observation, the more representative it is about the population.
3.) The second sample will give a better representation because it is larger, the size of the second sample is the sole factor which gives it a better representative edge than the first sample.
5.) Community members probably visit the dentist about once every 18 months, from the question, the avarage time visit of community members to the dentist is 18.1 months which is approximately 18 months, the mean gives the average value of a distribution
Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 100 degrees and the low temperature of 70 degrees occurs at 5 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. Assume the next low is 24 hours later.
Answer:
The function for the outside temperature is represented by [tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex], where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
[tex]A = \frac{100\º-70\º}{2}[/tex]
[tex]A = 15\º[/tex]
Mean temperature
[tex]\bar T = \frac{70\º+100\º}{2}[/tex]
[tex]\bar T = 85\º[/tex]
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
[tex]T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right][/tex]
Where:
[tex]\bar T[/tex] - Mean temperature, measured in degrees.
[tex]A[/tex] - Amplitude, measured in degrees.
[tex]\tau[/tex] - Daily period, measured in hours.
[tex]t[/tex] - Time, measured in hours. (where t = 0 corresponds with 5 AM).
If [tex]\bar T = 85\º[/tex], [tex]A = 15\º[/tex] and [tex]\tau = 24\,h[/tex], the resulting function for the outside temperature is:
[tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex]
This system of equations is shown on the graph: 2y − 4x = 6 y = 2x + 3 Which statement about the system is true?
Answer:
The system has infinity many solutions
Step-by-step explanation:
If it had no solutions there would be another like that does not go through it....if it was one solution it would have another like going through the other line....and since it has two lines that are on top of each other in the same point it's infinity solutions
Answer:
likely Option: DStep-by-step explanation:
2. The price of a gallon of milk has been rising about 1.36% per year since 2000. a. What type of function would be best to model this scenario? Choose one of the types of functions studied in this course. Explain why you chose this answer. b. Write a formula for the function you chose to model this scenario. What does the independent variable in your function represent? c. If milk costs $4.70 now, what will it cost next year? Show how you found the answer. d. If milk costs $4.70 now, how long will it take for the price to top $5? Show how you found the answer.
Answer:
(a)Exponential
(b)[tex]P(t)=4.70(1.0136)^t[/tex]
(c)The price of milk next year will be: $4.76
(d)5 years
Step-by-step explanation:
The price of a gallon of milk has been rising about 1.36% per year since 2000.
(a)Since the price grows by a percentage (or constant factor) each year, an exponential function would be best to model the scenario.
(b)The exponential growth model is given as:
[tex]P(t)=P_0(1+r)^t$ where:\\P_0$=Initial Price\\r=Growth factor\\t=time (in years, for this case)[/tex]
The independent variable in the function is t. This represents the number of years since 2000.
(c)
[tex]I$nitial Price, P_0=\$4.70\\r=1.36\%=0.0136\\P(t)=4.70(1+0.0136)^t\\\\P(t)=4.70(1.0136)^t[/tex]
Therefore, the price of milk next year will be:
[tex]P(1)=4.70(1.0136)^1=\$4.76[/tex]
(d)We want to determine how long it will take for the price to top $5.
P(t)=$5
[tex]5=4.70(1.0136)^t\\$Divide both sides by 4.7$\\(1.0136)^t=\frac{5}{4.7} \\$Change to logarithm form\\t=Log_{1.0136}\frac{5}{4.7}\\t=4.58[/tex]
Therefore, in exactly 4.58 years, the milk price would be $5. Therefore, by the 5th year, the milk price would top $5.
This recipe makes 6 portions of potato soup. Richard follows the recipe but wants to make 18 portions. Complete the amounts of each ingredient that he needs. Recipe: Serves 6 60 ml oil 80 g onions 450 g potatoes 600 ml milk
Answer:
1080 ml oil
240 g onions
1350 g potatoes
1800 ml milk
Step-by-step explanation:
18 ÷ 6 = 3
every ingredient x 3
60 x 6 = 360 , 360 x 3 = 1080 ml oil
80 x 3 = 240 g onions
450 x 3 = 1350 g potatoes
600 x 3 = 1800 ml milk
PLEASE HELP
Choose the correct conic section to fit the equation.
X^2/16-y^2/4=1
1.Circle
2.Ellipse
3. Parabola
4. Hyperbola
Answer:
2.Ellipse
Step-by-step explanation:
The given equation represents an ellipse.
Standard form of ellipse is given as:
[tex] \frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\
\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\[/tex]
Darren accumulated $9,000 in credit card debt. If the interest rate is 4.1% per year and he does not make any payments for 9 years, how much will he owe on this debt in 9 years by compounding continuously? Round to the nearest cent
Answer:
$12,921.09
Step-by-step explanation:
9000(1.041)⁹
9000(1.4367641386)
≈$12,921.09
The amount of money Darren owe on this debt in 9 years by compounding continuously is $12,915.
Given that, principal=$9,000, rate of interest=4.1% and time period =9 years.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=P(1+\frac{r}{100})^t[/tex]
Now, [tex]Amount=9000(1+\frac{4.1}{100})^9[/tex]
= 9000×[tex](1+0.041)^9[/tex]
= 9000×[tex](1.041)^9[/tex]
= 9000×1.435
= $12915
Therefore, the amount of money Darren owe on this debt in 9 years by compounding continuously is $12,915.
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Pls, help. Trigonometry. Please answer in short sentences I'm not picking. Please answer a-i.
Answer:
a . See attachment
b. because we will find the distance from the bottom of the ladder to the base of the building.
c. sin 60 = opposite side / hypotenuse
d.sin 60 = x / 10
e . 8.66 ft =x
f. see attachment
i. cos 60° = adjacent side / hypotenuse
Step-by-step explanation:
a . See attachment
b. because cos 60° = adjacent side / hypotenuse, the hypotenuse is equal to the length of the ladder (10), and the adjacent side that we will find is the distance from the bottom of the ladder to the base of the building. not the height that the ladder reaches .
c. sin 60 = opposite side / hypotenuse
Because we will find the opposite side which is the height that the ladder reaches.
d.sin 60 = x / 10
e .
0.866025403 = x/10
10 (0.866025403) =x
8.66 ft =x
f. see attachment
i. cos 60° = adjacent side / hypotenuse
Because we will find the adjacent side which is the distance from the bottom of the ladder to the base of the building.
Can someone help me out with these math questions?
You can pick one to answer or chose to answer both!
I’d appreciate the help thank you!
A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base)
Answer:
The correct answer will be "0.756596 m²".
Step-by-step explanation:
The given values are:
The radius of an umbrella,
r = 0.4 m
The height of an umbrella,
h = 0.45 m
As we know,
The lateral surface of an umbrella will be:
⇒ [tex]\pi r\sqrt{r^2+h^2}[/tex]
On substituting the values, we get
⇒ [tex]\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}[/tex]
⇒ [tex]0.756596 \ m^2[/tex]
So that the amount of fabric needed will be "0.756596 m²".
Find the least common multiple of x2 + 4x + 3 and x2 + 7x + 12.
Answer:
( x+1) (x+3) (x+4)
The question is in the picture attached
Answer:
≈ 10.7 ft
Step-by-step explanation:
We have 2 secants to a circle from an external point.
The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
let the internal part of the right secant be x , then
6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )
6 + x ≈ 10.7 ( subtract 6 from both sides )
x ≈ 4.7
length of pass = 6 + 4.7 = 10.7
calculate the height of an equilateral triangle with side is 8 cm long
Step-by-step explanation:
use pythagoras theorem for finding the height
hypotenuse is 8cm
base is 4 cm
height?
a^2+b^2=c^2
64-16=a^2
a=7.07cm
Height of equilateral triangle is 7.07cm
What are the factors of the function represented by this graph?
710
+6
+
+2
-10
-6
8
8
10
-2
4
-6
-8
+-10
A
(x-4) and (x-8)
B
(x-4) and (x+8)
C.
(x+4) and (x-8)
(x + 4) and (x+8)
Answer:
C. (x+4) (x-8)
Step-by-step explanation:
Take the graph for example both x values are -4 & positive 8
Evaluate 3|−5| − 2|−2|. Question 22 options: −11 −19 11 19
Answer:
11
Step-by-step explanation:
3|−5| − 2|−2|
Absolute value means take the non-negative value
3 * 5 -2 * 2
15 - 4
11
solve this system of linear equations. separate the x - and y values with a comma. 6x+5y = 4
19x+2y = - 15
Answer:
x = - 1, y = 2
Step-by-step explanation:
Given the 2 equations
6x + 5y = 4 → (1)
19x + 2y = - 15 → (2)
Multiplying (1) by 2 and (2) by - 5 and adding will eliminate the term in y
12x + 10y = 8 → (3)
- 95x - 10y = 75 → (4)
Add (3) and (4) term by term thus eliminating y
- 83x = 83 ( divide both sides by - 83 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting into (1)
6(- 1) + 5y = 4
- 6 + 5y = 4 ( add 6 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
What is the quotient? StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction StartFraction negative (a minus 3) squared Over 147 EndFraction StartFraction (a minus 3) squared Over 147 EndFraction 3 –3
Answer:
Correct answer is
[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]
Step-by-step explanation:
Let us rephrase the given statement mathematically.
We are given the fractions as:
[tex]\dfrac{a-3}{7}[/tex]
to be divided by:
[tex]\dfrac{3-a}{21}[/tex]
To find:
[tex]\dfrac{a-3}{7}\div\dfrac{3-a}{21}[/tex]
Now, let us have a look at the division rule in fractions:
[tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex]
is equivalent to
[tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]
In other words, we say that the second fraction [tex]\frac{c}{d}[/tex] is changed to [tex]\frac{d}{c}[/tex] and [tex]\div[/tex] is changed to [tex]\times.[/tex]
Now solving the given fraction by applying above rules:
[tex]\dfrac{a-3}{3}\div\dfrac{3-a}{21}[/tex]
[tex]\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{3-a}\\\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{-(a-3)}\\\Rightarrow \dfrac{1}{1}\times \dfrac{3}{-1}\\\Rightarrow -3[/tex]
So, correct answer is:
[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]
Answer:
d on edg
Step-by-step explanation:
taking test rn
a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of the bonus is shared equally between 7 sales people.Peter, one of the sales people says," if the bonus is shared equally between 10 people i will get 25% more money. Janet a manager, says," no you wont get that much extra. show that Janet is correct by working out how much peter thinks he would get and how much he would actually get.
Step-by-step explanation:
if each the bonus is shared equally each will get 420
if 40% is shared by managers each manager will get 560
if 7 sales persons share 60% each will get 360
therefore Peter salesperson will get 360
but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x - 2)
Answer:
[tex]a. \: {x}^{2} + 2[/tex] [tex]b. \: 2 {x}^{2} - 5x[/tex] [tex]c. \: 6 {x}^{2} + 8x[/tex] [tex]d. \: 6 {x}^{2} - 12x[/tex]solution,
[tex]a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x[/tex]
[tex]b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x[/tex]
[tex]c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x[/tex]
[tex]d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x[/tex]
Hope this helps...
Good luck on your assignment..
HELP ME PLZ!!!!!!!! Brainliest will be given, THANK YOU!!!!
Answer:
Step-by-step explanation:
5*2=10, 10*2=20...
it is a geometric progression with ratio= 2
a11=a10*2=2560* 2=5120
Given f(x) = 3x - 1 and g(x)=2x-3, for which value of x does g(x) = f(2)?
2
O X-2
xe
O X4
Answer:
i hope it will help you...
Complete the solution of the equation. Find th
value of y when x equals -4.
- 8x + y = 37
Enter the correct answer.
Answer:
64
Step-by-step explanation:
Suppose the linear regression line y = 3.27x + 1.52 predicts the weight of a large dog, in pounds, x weeks after it is born. About how much would the dog weigh after 6 weeks?
Answer:
21.14 lbs.
Step-by-step explanation:
So you plug in x=6.
y=3.27(6)+1.52=21.14
On piece of paper, graph f(x) =5• (0.4)^x
Answer:
When we use a graphing calc, we should see that we get A as our best choice.
Step-by-step explanation:
Solve using derivatives.
I have no clue where to start on this I really need help please.
Please show steps and diagram.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.