Answer:
28/60
Step-by-step explanation:
There are 60 people in total and only 28 people said they prefer strictly vanilla and no other flavor.
28/60
Line m passes through point (-2,-1) and is perpendicular to the graph of y=-2/3x+6. Line n is parallel to line m and passes through the point (4,-3). What is the equation in slope-intercept form of line n?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}} x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, we know that "m" is perpendicular to the line above, so that means that line "m" has a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{3}} ~\hfill \stackrel{reciprocal}{-\cfrac{3}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]
keeping in mind that parallel lines have exactly the same slope, and since we know that "n" is parallel with "m", that means that if "m" has a slope of 3/2 than "n" must have the same slope.
so we're really looking for the equation of a line whose slope is 3/2 and passes through (4 , -3)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+3=\cfrac{3}{2}x-6\implies y=\cfrac{3}{2}x-9[/tex]
please help me !!! please The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x)=−2x^2+36x, where x is the width, in feet, of the storage bin. John said that factoring would be a more efficient way to solve for the maximum area compared to completing the square. Do you agree or disagree with John? I must Explain.
The area of the garden is the amount of space it occupies
John's claim is not true
How to determine if John's claim is trueThe function is given as:
[tex]A(x) = -2x^2 + 36x[/tex]
To determine the maximum area, we do not need to factorize the expression or apply completing the square.
Hence, John's claim is not true
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Point P, located at (-3, -4), is reflected across the y-axis.
What are the coordinates of this point after this transformation?
A. (3, -4)
B. (3, 4)
C. (4, 3)
D. (-3, 4)
Answer:
A. (3,-4)
Step-by-step explanation:
The rule to follow for reflecting a point across the y-axis is to take the original coordinate (x, y) and change it to (−x, y)
Prem has $45000 to invest for 1 year. The bank tells him the interest rate is 6%. Calculate how much the investment is worth at the end of the year…
1) If the interest is paid every 6 months
2) If interest is paid quarterly
Answer:
1) $47,740.50
2) $47,761.36
Step-by-step explanation:
hope this helps :)
Mr. Appleman own a rectangle apple orchard that measure 18m long and has a diagonal length of 25m. What is the width of his Orchard to the nearest the tenth of a metre?
Answer:
length = 17.3 m
Step-by-step explanation:
Rectangles have four right angles, so the diagonal and its sides will form a right triangle. This allows us to use the Pythagorean Theorem to find the length.
l^2 + 18^2 = 25^2
sqrt l^2 = sqrt (25^2 - 18^2), where l = 17.349 = 17.3 m
how do i solve –1.8c + 5.1d for c = 2.9 and d = -4.2.
Answer:
See below
Step-by-step explanation:
-1.8c + 5.1d plug the numbers in that you were given.
-1.8(2.9) + 5.1(-4.2)
Multiply the first and second group of numbers
-1.8 x 2.9 = - 5.22
5.1 x -4.2 = - 21.42
Now add the two numbers together but remember they are both negative numbers. So when you add them together, it will end up being a more negative number.
-5.22 + -21.42 = - 26.64
You have $20 to spend on pizza. It costs $16 plus $1.25 for each additional topping, tax included. a) Write an inequality to determine the maximum number of toppings the pizza can have. b) Solve the inequality from part a. c) Use your answer to decide how many toppings you can get on your pizza. *You can't get part of a topping!
Answer:
3 toppings??, sorry if its wrong im confused on the last part (c)
Step-by-step explanation:
16+1.25x≥20
-16 -16
1.25x ≥4
1.25 ≥ 1.25 4/1.25=
x ≥ 3.2
A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t2+120t +6, where h(t) represents the height, in feet, and t is the time, in seconds. Find the average rate of change from the initial launch to the maximum height.
Answer:
60
Step-by-step explanation:
The given function is:
The average rate of change of h(t) from t=a to t=b is given by:
We can rewrite this function as:
The maximum height of the rocket is 231 and it occurs at t=3.75
The initial launch occurs at: t=0
and
The average rate of change from the initial launch to the maximum height is
The average rate of change from the initial launch to the maximum height is 59.21 ft/s.
We have a equation that represents the Rocket path.
We have to find the average rate of change from the initial launch to the maximum height.
What do you mean by a Time - varying quantity ?A time varying quantity is the quantity whose absolute value change with time. For example - y = f(t) = 2t - 1 , where y is the displacement and it varies as y = 2t - 1 with time.
According to the question, we have -
Equation → [tex]h(t) = -16t^{2} +120t+6[/tex]
Height of podium → 6 feet.
Initial velocity (u) = 0
Now -
[tex]h(t) = - 16t^{2} +120t+6[/tex]
Differentiating w.r.t time, we get →
[tex]$\frac{dh}{dt} = - 32t + 120[/tex]
For maximum height → [tex]$\frac{dh}{dt} = 0[/tex]
-32t + 120 = 0
32t = 120
t = 3.8 seconds
This means that at t = 3.8 seconds the rocket will reach its maximum height. Therefore, the maximum height will be -
h(t) = - 16 x 3.8 x 3.8 + 120 x 3.8 + 6
h(t) = - 231.04 + 456 + 6
h(t) = 224.96 + 6
h(t) = 230.96 = 231
The maximum height reached by the rocket is 231 feet's.
Now -
Initial height = 6 feet
Initial time = 0 s
Final height (max) = 231
Time at maximum height = 3.8
Therefore, the average rate of change from the initial launch to the maximum height will be -
[tex]$v_{avg} = \frac{231-6}{3.8-0}=59.21[/tex]
v (avg) = 59.21 ft/s
Hence, the average rate of change from the initial launch to the maximum height is 59.21 ft/s
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How do you find the probability of getting one correct?
Answer: The probability she gets at least one right is 1 minus this, or 0.988470785. In other words, she has an approximately 99% chance of getting at least one right.
Step-by-step explanation: IF CORRECT MARK ME BRAINLIEST
Research done in the mid 1980s indicated that 80% of grizzly bears in the greater ecosystem of Yellowstone National Park entered their den for hibernation by the last day of November. This has come into question as of late. Researchers have hypothesized that climate change has postponed bears entering hibernation until later in the season; that is, researchers believe that a smaller percentage of bears are entering their den for hibernation by the last day of November. Sixty-two Yellowstone grizzly bears were tracked via radio monitors, which allow scientists to pinpoint when the bears enter their dens with a high degree of accuracy. Of the sixty-two Yellowstone grizzly bears being tracked, forty-two entered their den for hibernation by the last day of November.
What values would you enter for each of the following in the One Proportion applet to conduct a simulation-based hypothesis test with these data?
The sample size that's given is 62 and the probability of success will be 0.68.
How to calculate probabilityFrom the complete question, it can be noted that the sample size that's given is 62 while the number of samples is 42.
In this case, the probability of success will be:
= Number of samples / Sample size
= 42/62 = 0.68
In conclusion, the probability of success is 0.68.
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Evaluate:
–7.68 (–1.6)
A. –48
B. –4.8
C. 4.8
D. 48
Your Answer Should Be C.
What is the slope of the line that passes through the points (4,7) and (7, 16)? Write
your answer in simplest form.
Your answer would be either:
[tex]\frac{3}{1}[/tex] or just 3
Step-by-step explanation:
To solve, we used Rise over run [tex]\frac{rise}{run}[/tex]
m = [tex]\frac{16-7}{7-4}[/tex] we get 9/3 and simplify it to 3/1 or 3
If $5000 is invested at a rate of 3% interest compounded
quarterly, what is the value of the investment in 5 years?
(Use the formula A = P (1 + )", where A is the amount
accrued, P is the principal, r is the interest rate, n is the
number of times per year the money is compounded, and t
is the length of time, in years.)
Answer:
$5805.92
Step-by-step explanation:
A= P(1+i)^n
= 5000(1+3%/4)^5×4
=$5805.92
Given that 10 cm is approximately equal to 4 inches, which of the following expressions models a way to find out approximately how many inches are equivalent to 350 cm?
A
350×(104)
B
350×(410)
C
(10−4)×350
D
(350−10)×4
Answer: I don't Know
Step-by-step explanation: Thanks for the point tho :)
graph the basic exponential function helpp pleasereeeeee
Answer:
Step-by-step explanation:
The red one is g(x)=2^x+4
The blue one is f(x)=2^x-1 exponential function
A book contains 800 pages and 2 of those pages have pictures.
What percent of the pages in the book have pictures?
Enter your answer as a decimal or as a fractiohfin simplest form in the box.
Answer: 0.25 percent.
Step-by-step explanation:
You know that you have 800 pages. So, 2 out of 800 is 0.25 percent.
I need some help with this one.
Answer:
B
Step-by-step explanation:
In the middle of the kite, there are 4 angles that are the same (90*)
So using the given angle 54 and the 90* we can find the last angle
54 + 90 = 144
180 - 144 = 36
The left-over angle is 36*
Find (f.g)(x) where f(x) = 3x + 1, g(x) = 2x + 7.
=
O (f•9)(x) = 6x2 + y 3x + 7
O (f.g)(x) = 6x2 + 7
O (fºg)(x) = 6x2 + 23x + 7
O(fºg)(x) = 5x + 8
Answer:
3rd option
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= (3x + 1)(2x + 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(2x + 7) + 1(2x + 7) ← distribute parenthesis
= 6x² + 21x + 2x + 7 ← collect like terms
= 6x² + 23x + 7
Under her cell phone plan, Leah pays a flat cost of $42 per month and $4 per
gigabyte. She wants to keep her bill at $48.80 per month. Write and solve an
equation which can be used to determine g, the number of gigabytes of data Leah can
use while staying within her budget.
What must be added to 70 so it will divide exactly into five groups of 16
Answer:
10
Step-by-step explanation:
[tex]x+70=16(5)\\\\x+70=80\\\\x=10[/tex]
Therefore, the number is 10
In a data set, the number of items that are in a particular category is called the.
In a data set, the number of items that are in a particular category is called the frequency
What is frequency?Frequency can be defined as the number of items that are in a particular category in a data set.
It is also described as the number of times the value \appears in the data set.
The distribution of a variable is defined by the pattern of frequencies, this means that, the set of all possible values and the frequencies associated with these values
Frequency distributions are also portrayed as frequency in tables or charts,
It is also important to note that relative frequency is the proportion of items in a particular category in a data set.
Hence, it is the frequency
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3(x-2)
I don’t know how to do this
Answer:
3x - 6 should be it
Find the common ratio of the geometric sequence 11, -55, 275,...11,−55,275,...
Answer:
r = -5
Step-by-step explanation:
common ratio (r) is found be dividing one term by its preceding term:
r = 275 ÷ -55 = -5
or, r = -55 ÷ 11 = -5
Therefore, r = -5
What is the y‐intercept of the graph of y=5x ?
5
1
25
0
Answer:
0 is your y intercept and 5 is the x intercept
What is 6 (-2y+4) simplified
Answer:
-12y+24
Step-by-step explanation:
I used math---------way , so it is correct. brainliest please!
Answer:
Step-by-step explanation:
6 (-2y+4)
First, we use the distributive property to substitute the terms.
(-12y + 24)
Then we divide 24 by -12 to get -2.
24/-12 = -2.
y = -2
I need help please
Answer:
1+1=2
Step-by-step explanation:
Calculate the area of the right triangle that has vertices at A(626, 200), B(726, 200), and (025,10)
Answer:
Calculate the area of the right triangle that has vertices at A(626, 200), B(726, 200), and (025,10)
A cone-shaped container is completely filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm³ per hour. How many hours will it take to drain all of the liquid? Use 3. 14 to approximate pi. Enter your answer in the box. Hours.
Find the volume of the cylinder to know how much liquid is in it:
volume of a cylinder = Pi x r^2 x height.
Volume = 3.14 x 60^2 x 210
Volume = 2,373,840 cubic cm
now to find the length of time divide total cubic cm by the drainage rate:
2,373,840 / 1099 = 2,160 hours
Answer: 2,160 hours
Which of the following has the solution set
{}?
o |x| > 5
o |x| < -5
o |x|< 10
o |x|> -10
Answer:
why?
Step-by-step explanation:
What is the value of x?
Answer: 3√2
Step-by-step explanation:
The middle line is also 3 so if you use a^2 + b^2 = c^2 you can find the hypotenuse