Answer: x= 28
Step-by-step explanation:
18=28-10
18=18
Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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bonsoir pouvez vous m'aidez
Answer:
Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.
!PLS HELP I WILL GIVE BRAINLEST!
The net of a rectangular prism is shown
What is the surface area of this prism?
The answer would be 18 square units
Step-by-step explanation:
When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)
Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...
What is the volume of 8x9x3
Answer:
given - dimensions of a particular solid as 8 × 9 × 3to find - volume of that particular solidSince , we're given three distinct measures , we can make out that the dimensions are most probably of a cuboid.
\(Volume \: of \: cuboid = l \times b \times h \\ \\ \implies \: 8 \times 9 \times 3 \\ \\ \bold\red{\implies216 \: units^{3}}\)
hope helpful ~
Darren drives to school in rush hour traffic and averages 30 mph. He returns home in mid-afternoon when there is less traffic and averages 40 mph. What is the distance between his home and school if the total traveling time is 1 hr 45 min?
Answer:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Step-by-step explanation:
.HELPPPPPPPPPPPPPPPPP
Answer:
\(\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1\)
Step-by-step explanation:
Slope intercept form of a line equation is
y = mx + b
where
m = slope
b = y-intercept
A perpendicular line to y = mx + b will have a slope of -1/m
Let's first find the equation for line z in slope-intercept form
Slope m for a line = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line
Slope of line z is
\(m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}\)
So line z will have an equation of the form
\(y = -\dfrac{3}{5}x + b\)
We know that a line perpendicular to this line will have a slope of
\(- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}\)
So the equation of the perpendicular line is
\(y = \dfrac{5}{3}x + b\)
Only one of the 4 choices, name choice A has this slope of 5/3
Therefore the correct answer choice is A
There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:
The perpendicular line passes through (3, 6). This means when x = 3, y =6
Substitute these values of x, y into the equation for the perpendicular line and solve for b
\(y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1\)
This corresponds to Choice A
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
g(0)=-4x^2-3x+2
g(2)=-4^2-3x+2
The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.
What is simplification?To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given a function g(x) = -4x² - 3x + 2
to find the values of g(0)
and g(2)
for g(0)
substitute x = 0 in the equation,
g(x) = -4x² - 3x + 2
g(0) = -4(0)² - 3(0) + 2
g(0) = 2
for g(2), substitute x = 2 in the equation,
g(x) = -4x² - 3x + 2
g(2) = -4(2)² -3(2) + 2
g(2) = -4(4) - 6 + 2
g(2) = -16 - 6 +2
g(2) = -20
Hence the values for g(0) is 2 and for g(2) is -20.
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consider the verizon data. find a 95% ci for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.
A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.
Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.
Next, we use the formula for a confidence interval for the ratio of medians:
=> (M1/M2) +/- (Z * SE(M1/M2)),
where Z is the critical value from a standard normal distribution for a 95% confidence level.
The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.
Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.
Complete Question:
Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
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6 and 30 geometric mean
Answer:
The geometric mean of 6 and 30 is 13.416407864999
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answer:
Step-by-step explanation:
i need help with this problem and solving it down step by step
To verifying if two functions are inverses of each other is a simple two-step process.
Step 1:
Plug g(x) into f(x) which is f{g(x)} then simplify.
If f{g(x)} = x
\(\begin{gathered} f(x)\text{ = 9x + 12} \\ g(x)\text{ = }\frac{x\text{ - 12}}{9} \\ f\mleft\lbrace g(x\mright)\}\text{ = 9(}\frac{x\text{ - 12}}{9})\text{ + 12} \\ =\text{ x - 12 + 12} \\ f\mleft\lbrace g(x\mright)\}\text{ = x} \end{gathered}\)Step 2: g[f(x)] = x
\(\begin{gathered} g\mleft\lbrace f(x\mright)\}\text{ = }\frac{9x\text{ + 12 - 12}}{9} \\ g\mleft\lbrace f(x\mright)\}\text{ = }\frac{9x}{9} \\ g\mleft\lbrace f(x\mright)\}\text{ = x} \end{gathered}\)Final answer
Since f{g(x)} = g{f(x)}, YES the functions are inverse of each other.
Option B is the answer
What is Spanish I need to knooloooooow
a Romance language spoken in Spain and in much of Central and South America (except Brazil) and several other countries. It is the second most widely spoken first language in the world, with more than 400 millon speakers.
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit. Which is an accurate comparison? The mean is likely greater than the median because the data is skewed to the right.
The accurate comparison shown by Histogram is that the mean is likely greater than the median because the data is skewed to the right. So, the correct option is A).
The histogram shows a right-skewed distribution, with a tail extending to the right of the peak. This indicates that there are a few cities with very high values that are pulling the mean to the right. In a right-skewed distribution, the mean is always greater than the median. This is because the mean is sensitive to extreme values and the median is not.
Therefore, option A is the accurate comparison. Option B is incorrect because the data is not skewed to the left. Option C is incorrect because the median is always less than the mean in a right-skewed distribution. Option D is also incorrect because the median is always less than the mean in a left-skewed distribution. The correct answer is A).
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_____The given question is incomplete, the complete question is given below:
3 4 5 8 9 10
The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit.
Which is an accurate comparison?
A The mean is likely greater than the median because the data is skewed to the right.
B The mean is likely greater than the median because the data is skewed to the left.
C The median is likely greater than the mean because the data is skewed to the right.
D The median is likely greater than the mean because the data is skewed to the left.
ABCD is a parallelogram Find the value of x.B В114°С2x + 1234АD
Explanation
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal)
it means
\(\begin{gathered} AB=CD \\ \end{gathered}\)let
AB=2x+12
CD=34
Now, replace
\(undefined\)Express 4 250 000 000 000 in standard form
hi <3
standard form is written in the form a x 10^n
where a is a number between 1 and 10
in this case, you would get 4.25 x 10^12
hope this helps :)
The half life of radon-222 is 3.8 days. How much of a 100 gram sample is left after 12.2 days?
We have the following:
The first thing is to calculate what the 12.2 days represent with respect to its half-life, which is 3.8 days, therefore
\(\frac{12.2}{3.8}=3.2\)Therefore it represents 3.2 times the half life of the compound, therefore 100 grams would remain:
\(100\cdot\mleft(\frac{1}{2}\mright)^{3.2}=10.88\)Therefore there would be a total of 10.88 grams
Find the slope of the line that passes through (9, 3) and (6, 7)
Answer:
-4/3
Step-by-step explanation:
:P
Laurie wants to join the basketball team. Her parents ask her to figure out how much it will cost. Laurie knows that she has to pay an activities fee of $42 plus a fixed amount for each tournament. Write a formula that describes how much it will cost to join the team. Let's let:
c=cost for each tournament
n=number of tournaments the team plays
t=total amount to join the team
The Formula:
t = cn + 42
Urgent please help thank you guys for all the help
Answer:
$15.00 per day and $0.22 per mile.
Step-by-step explanation:
To determine the daily fee and mileage fee charged by Best Rentals, we can set up a system of equations based on the given information.
Let's assume the daily fee is represented by "d" and the mileage fee is represented by "m."
For Mateo:
3d + 300m = 111.00
For Dara:
5d + 600m = 207.00
Now we can solve this system of equations to find the values of "d" and "m."
Multiplying the first equation by 2 to eliminate "m," we get:
6d + 600m = 222.00
Subtracting the second equation from this equation, we have:
(6d + 600m) - (5d + 600m) = 222.00 - 207.00
d = 15.00
Substituting the value of "d" into the first equation, we can solve for "m":
3(15.00) + 300m = 111.00
45.00 + 300m = 111.00
300m = 111.00 - 45.00
300m = 66.00
m = 0.22
Therefore, Best Rentals charges $15.00 per day and $0.22 per mile.
A polynomial has a leading coefficient of 1 and the
following factors with multiplicity 1:
X+2
x-√2
What is the factored form of the polynomial?
Answer:
Its A
Step-by-step explanation:
I got it right on EDGE 2021
Answer:
The answer is actually the last one
Step-by-step explanation:
I just did it. The other answer isn't even the right question.
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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find the domain and range of the relation. Express your answer in interval notation
Domain = set of possible x values
By looking at the graph we can see that the possible x values are from -5 to 5 ( points not included)
domain: (-5,5)
Range: set of possible y-values
By looking at the graph we can see that the possible y values are from 0 to infinity.
Range: [0,∞)
A certain television is advertised as a 45-inch Tv (the diagonal length). if the width of the TV is 36 inches, how many inches tall is the TV?
Answer:
27
Step-by-step explanation:correct answer
hope this helps
plz mark me the brainliest
Which type of graph is typically not used for quantitative data?
Answer:
bar graph
pie chart
histogram
Step-by-step explanation:
Draw lines to match equivalent time intervals.
day
5 days
6 days
120 hours
13 weeks
144 hours
-12
10 days
720 minutes
91 days
240 hours
Answer:
120h = 5 days
240h = 10 days
144h = 6 days
720m = 1/2 (half a day)
13w = 91 days
please make this brainliest
Find the slope of the line that passes through the points (4, 4) and (5, 7).
Answer:
3
Step-by-step explanation:
Slope of a line between any two points (x1,y1) and (x2,y2) is given by the equation:
\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
let's take (x1,y1) as (4,4) and (x2,y2) as (5,7)
So slope = \(\frac{7-4}{5-4}\) = 3
Answer:
y = 3x - 8
Step-by-step explanation:
y = Mx + c
m = 3 / 1
4 = 3(4) + c
4 - 12 = c