Answer:26,125 is your answer
Step-by-step explanation:
Answer:
$26,125
Step-by-step explanation:
45% of 47,500 is 21,375
47,500 - 21,375 = 26,125
Write an equation based off this trigonometric graph.
Answer(s):
[tex]\displaystyle y = 4cos\:(2x - \frac{\pi}{2}) - 1 \\ y = 4sin\:2x - 1[/tex]
Explanation:
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:2x - 1,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex] So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{\pi}{4}, -5],[/tex] from there to [tex]\displaystyle [\frac{3}{4}\pi, -5],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Subtract 6 2/5 - 1 1/4. Simplify the answer and write as a mixed number.
Answer:5 3/20
Step-by-step explanation:
6 8/20 0- 1 5/20= 5 3/20
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answer: C=5
Hope this helps!
The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area. Which of these statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A More rainfall relates to more mosquitoes as long as rainfall is less than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice B) B More rainfall relates to more mosquitoes as long as rainfall is more than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice C) C When there is no rainfall, there are about 111 million mosquitoes. (Choice D) D When there is no rainfall, there are about 222 million mosquitoes.
Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16 % are pennies and 30 % are dimes. There are 2 more nickels than pennies. How much money does the bag contain?
1 point
What is the value of x? Round to the nearest tenths place
15 ft
13 ft
х
Answer:
7.5
Step-by-step explanation:
The values 15ft, 13ft and x are the sides of a right triangle;
According to pythagoras theorem;
15² = 13²+x²
x² = 15² - 13²
x² = 225 -169
x² = 56
x = √56
x = 7.48
Hence the value of x to the nearest tenth is 7.5 to the nearest tenth
9 books are to be bought by a student. Some cost $6 and the remainder cost $3 each. if the total amount spent was $39, how many of each are bought?
Please explain your answer.
Answer:
four nine dollar books
Step-by-step explanation:
36 divivded by 9
a spinner has 8 sections 2 purple 2 yellow 3 blue and 1 red what is the probability of spinning and landing on a blue or purple section
Answer:
5/8 is the probability.
Step-by-step explanation:
please answer quickk
Answer:
t + 25 = 26
t = 26 - 25
t = 1
I hope it's helps you
Need help with 20y + 60 = 100
Answer:
2
Step-by-step explanation:
puting right terms together to find value of y
Answer:y = 2
Step-by-step explanation:
IF we are solving for y...
20y + 60 = 100
Subtract 60 from both sides to get y by itself...
20y = 40
divide by 20 to get y...
y = 2
ANSWER ASAP CORRECT ANSWER GETS BRAIN THINGY!!!
Given the spinner below, the
probability of landing on an
A is . Predict how many times you would land on an A if you spun the spinner 24 times
A. 8
B. 9
C. 10
D. 12
Answer:
B. 9
Step-by-step explanation:
The probability of landing on A is 3/8. Now, multiply the fraction by the number of times it will be spun.
3/8 × 24 = 9
Hope this helps!
Answer:
9 times
Step-by-step explanation:
Probability for landing on A is 3/8. So, for every 8 times you spin, you predict that you will land on A 3 times (3 times out of 8 spins).
So you either
A.) multiply the probability by the total spins:
(3/8) * (24) = 9 times you land on A
or
B.) divide the 24 spins by 8, to get 3 different repeats of the probability.
So 3 * 3 = 9 times.
Need help!!!!!!!!!!!!!!!!!!!!
Answer:
Take a look at the picture below
Have a good day :)
Find the area of the figure
Answer:
A = 76.912Step-by-step explanation:
Area of triangle with angle of 30°:
[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]
Area of triangle with angle of 50°:
[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]
Area of the rest of the figure:
[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]
Therefore:
[tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]
Y=x2= is that a function?
Did anybody laugh when the ice skater fell down?
Answer:
okkkkkkk ty for he points
Step-by-step explanation:
Answer:
Ty
Step-by-step explanation:
David can run at a consistent rate of 8.2 miles per hour. If he has 3 and a half hours to
run, how far will he run if he runs at that rate?
Answer:
David can run 28.7 miles in 3.5 hours.
Step-by-step explanation:
8.2mph × 3.5hours = 28.7miles
good luck, i hope this helps :)
the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?
the scale of the model is 1 inch = 9 feet
Answer:67.6
Step-by-step explanation:
: A box contains 512 grams of cereal. One serving of cereal is 56 grams. How many servings of cereal does the box contain? A. 9 1/4 B. 9 1/8 C. 9 8/56 D. 9 8/512
Answer:
C. 9 8/56
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Box contain = 512 grams
One serving = 56 gram
So, we can calculate the number of serving by using following formula,
Number of serving = Box contain ÷ One serving
By putting the value, we get
Number of serving = 512 ÷ 56
= 9.14 or 9 8/56
A jar contains 900 beans. Of all the beans, 7/10 are white beans and the rest are azuki beans. What is the ratio of white beans to azuki beans?
Answer:
Given that in the jar, navy beans and white beans in a ratio of 1:9. Let the amount of navy beans be x.
Then, the amount of white beans in the jar is 9x.
Given that amount of navy beans is x=90
Total amount of beans in the jar is x+9x=10x=10+90=900
So the ratio is 1:9
Step-by-step explanation:
Austin drove 455 miles in 7 hours.
At the same rate, how long would it take him to drive 585 miles?
Answer:
9 hours
Step-by-step explanation:
455/7 gives you the mph
which is 65
then divide 585 miles by the mph (65)
585/65
= 9 hours
F/R/E/E P/O/I/N/T/S
Answer:
tysm!!
Step-by-step explanation:
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day[/tex] [tex]:)[/tex]
AAAAAAA THANK YOU :D
What is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)? A. y=1/2x+4 B y=-1/2x+6 C y=-1/2x+4 D y=-1/2x+8
Answer:
y = -1/2x + 8
Step-by-step explanation:
y = -1/2x + b
6 = -1/2(4) + b
6 = -2 + b
8 = b
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answer: 17 pounds
Step-by-step explanation:
(Don't answer if unsure) If the triangle rotated 360 degrees to the right, where would the plotted points be? (Coordinates are (-8,2) (-8,8) (-4,2)
Answer:
Step-by-step explanation:
A correct answer can only be obtained from a complete question.
A rotation is not always about the origin, but in the absence of information, this will be assumed.
Rotating to the right is assumed to mean rotated from the second towards the first quadrant about the origin.
Rotating any shape about the origin by 360° will always return to the original (starting) position, so the final coordinates will be (-8,2) (-8,8) (-4,2).
I invest $1,000 at 5% interest that compounds annually. How much will I have in 5 years?
Answer:
$250....................
How to write an equation in point -slope form for each line
8 km
b
17 km
What is the length of the missing leg?
Can 12:18 be simplified
Answer:
Yes, 12:18 is simplified to 2:3
Step-by-step explanation:
Answer:2/3 is the simplest form of 12/18.
Step-by-step explanation:
yes, 12/18 can simplified
24.8x45.67 plz help will mark Brainliest
Answer: 1132.616
lol-
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360