Step-by-step explanation:
[tex] \sec( \alpha ) - \cos( \alpha ) [/tex]
[tex] \frac{1}{ \cos( \alpha ) } - \cos( \alpha ) [/tex]
[tex] \frac{1}{ \cos( \alpha ) } - \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]
[tex] \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]
[tex] \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \times \frac{ \sin( \alpha ) }{1} [/tex]
[tex] \tan( \alpha ) \sin( \alpha ) [/tex]
4 is the option
Find the perimeter of the rectangle.
Answer:
10x² + 8x + 22
Step-by-step explanation:
The perimeter of a rectangle is the measurements of all four side lengths added together
(you can simply multiply both side lengths by 2, because they are the same on both sides--but I'll write them all out for clarity)
side A (top): 5x² + 3x + 7
side B (right): x + 4
side C (bottom): 5x² + 3x + 7
side D (left): x + 4
perimeter = side A + side B + side C + side D
5x² + 3x + 7 + x + 4 + 5x² + 3x + 7 + x + 4
now, as you might have noticed, this is a long equation
so, we must combine like terms:
(this is the problem reordered so like terms are next to each other:)
(5x² + 5x²) + (3x + x + 3x + x) + (7 + 4 + 7 + 4)
10x² + 8x + 22
So, the perimeter of this rectangle is 10x² + 8x + 22
hope this helps! have a lovely day :)
Interpreting a Line of Best Fit
Use the graph and equation to answer the question.
A graph with number of visitors on the x-axis and amount of money on the y-axis. A trend line has equation y = 7.48 x + 2,245.21.
The graph includes ordered pairs displaying the relationship between the number of visitors at a museum during regular hours in a day (x) and the amount of money the museum collects during the given day (y).
The slope indicates that the museum
for every additional
, and the y-intercept could represent the daily average
.
Answer: A, C, C.
100%
Step-by-step explanation:
HELP ASAP
will mark brainliest
m=1/4
(or m=0.25)
M= rise/run
= 1/4
Hope this helps!
Giving brainliest! :)
Answer:
1.39b + 2.49m = 50.73
1.29b + 2.69m = 51.63
Step-by-step explanation:
Systems of linear equations are used when we have 2 equations that both contain 2 unknown variables. Since we are trying to find the price of bread and milk, we can let b = num of bread and m = num of milk.
Betty spends $50.73 buying b loaves of bread and m gallons of milk, so the first equation would be 1.39b + 2.49m = 50.73. Betty spends $51.63 buying b loaves of bread and m gallons of milk at Store B, so the second equation is 1.29b + 2.69m = 51.63.
Round to the nearest whole number.
568.3
Answer:
568.3 into the nearest hundred
5.683
Answer:
568
Explanation:
A whole number is a number without any fractional part; in other words, it does not have any non-zero digits after the decimal point.
When you round a number to the nearest whole number, first look at the digit right after the decimal point;
• if the digit is less than 5, then the nearest whole number is the original number, but without any digit after the decimal point. [rounding down]
• if the digit is 5 or greater than 5, then the nearest whole number is the next whole number (i.e., add 1 to the original number and remove the digits after the decimal point). [rounding up]
You design a new app for cell phones. Your revenue for x downloads is given by f(x) = 3x Your profit
is $20 less than 90% of the revenue for x downloads. Create a function p to model the profit. Find
the profit for 90 downloads.
Answer:
p = 2.7x - 20
p(90) = $223
Step-by-step explanation:
revenue → f(x) = 3x ,where x is the number of downloads.
the statement “Your profit p is $20 less than 90% of the revenue for x downloads”
means
[tex]p=90\% f\left( x\right) -20[/tex]
means
[tex]p=\frac{90}{100} \times f\left( x\right) -20[/tex]
means
[tex]p=\frac{9}{10} \times (3x) -20[/tex]
means
[tex]p=\frac{9}{10} \times (3x) -20[/tex]
means
[tex]p=2.7x -20[/tex]
………………………………
the profit for 90 downloads :
= p(90)
= 2.7×(90) - 20
= $223
Can anyone help me solve this question?
Answer: 110
Step-by-step explanation:
<ABC = <DEF
180 - <DEF = 180 - 70
<BED = 110
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 8. Event B: The sum is not divisible by 4 and not divisible by 5.
(3,6) (4,6) (5,6) (6,6) (4,5) (5,5)
Each of these pairs is equiprobable and which i will be using throughout the exercise:
[tex]p(pair) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]
[tex]p(a) = (\frac{1}{36} \times 2) \times 4 + \frac{1}{36} \times 2 = \frac{5}{18} [/tex]
The 2 (2!) is to account for permutations like ( 3 , 6 ) and ( 6 , 3 ) and the 4 are the different combinations that are composed of different numbers.
The 2 (2!) is to account for permutations like ( 3 , 6 ) and ( 6 , 3 ) and the 4 are the different combinations that are composed of different numbers.Whereas combinations like ( 5 , 5 ) cannot be switched in order, so we do not multiply by 2!
Event BPairs that yield a sum divisible by 4 or 5: 0,4,5,8,10,12,(1,3) (2,2) (2,6) (4,4) (5,3) (6,6) (1,4) (2,3) (5,5) (4,6)
[tex]p(not \: b) = ( \frac{1}{36} \times 2) \times 6 + \frac{1}{36} \times 4 = \frac{4}{9} [/tex]
[tex]p(b) = 1 - p(not \: b) = 1 - \frac{4}{9} = \frac{5}{9} [/tex]
Which description best compares the graphs given by the equations: x-5y=-5 5x-25y=75
Considering the slopes of the given lines, they are parallel lines.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.The first line, in standard form, is given by:
5y = x + 5
y = 0.2x + 1.
The slope is of m = 0.2.
For the second line, we have that:
25y = 5x - 75
y = 0.2x - 3
The slope is of m = 0.2.
Same slope, hence the lines are parallel.
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Find the value of x in circle O.
49°
X
I don’t know the answer and I need help asap
Answer:
The answer is
[tex]a \sin(theta) [/tex]
Step-by-step explanation:
The solution is in the image
Please explain for what values of x is function g(x) continuous if it is defined by.
Using the continuity concept, it is found that the function is continuous for all real values.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.
Then:
[tex]f(0) = 0^2 - 1 = -1[/tex].[tex]\lim_{x \rightarrow 0^-} = \lim_{x \rightarrow 0} x^2 - 1 = 0^2 - 1 = -1[/tex].[tex]\lim_{x \rightarrow 0^+} = \lim_{x \rightarrow 0} \frac{1}{x - 1} = \frac{1}{0 - 1} = -1[/tex].The 3 values are equal, hence the function is continuous at x = 0 and for all real values.
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Can you help me to answer the question
Answer:
I'm not too sure but:
L = (-2,-3)
M = (-9,-3)
K = (-2,-8)
J = (-9,-8)
Step-by-step explanation:
What we know:
We know that we go through the x axis then the y axis hence the saying "Along the corridor, Up the stairs".
Due to us knowing this we use where the letters (L, M, K & J) are placed on the diagram and use the "Along the corridor, Up the stairs" technique to figure out the answer.
This means that L is (-2,-3), M is (-9,-3), K is (-2,-8) & J is (-9,-8).
Yet again as I said at the top i'm not too sure but this is what I think is correct.
I hope it helps! :)
5m-8=2m+2
what does m equal
Answer:
m = 10/3
(as a decimal: m = 3.333...)
Step-by-step explanation:
5m - 8 = 2m + 2
5m - 8 = 2m + 2
- 2m - 2m (make all "m" on one side to isolate variable)
3m - 8 = 2
+ 8 + 8 (get m entirely on 1 side)
3m = 10
÷3 ÷3 (divide by 3 to get 1m)
m = 10/3
(as a decimal: m = 3.333...)
hope this helps!! have a lovely day :)
Algebra help! 1 question
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 331, find the numbers.
Answer:
33, 165, 133
Step-by-step explanation:
Check this file for the solution!
Answer:
33, 165, 133
Step-by-step explanation:
let the first number be n then
second number is 5n
third number is n + 100
sum the 3 numbers and equate to 331
n + 5n + n + 100 = 331 , that is
7n + 100 = 331 ( subtract 100 from both sides )
7n = 231 ( divide both sides by 7 )
n = 33
5n = 5 × 33 = 165
n + 100 = 33 + 100 = 133
the numbers are 33, 165, 133
suppose a radioactive substance decays according to the equation y=200e^-0.75t, where y represent the mass in gram after t hours. calculate the mass of the substance after 3.5 hours have elapsed
Answer:
i am not sure
Step-by-step explanation:
Complete the equation of the line through ( − 10 , − 7 ) (−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and ( − 5 , − 9 ) (−5,−9)left parenthesis, minus, 5, comma, minus, 9, right parenthesis. Use exact numbers.
The equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line is,
Slope, m = (-10+5)/(-7+9) = -5/2 = -2.5
Substitute any one of the points in the equation of the line,
-7 = -2.5(-10) + C
-7 = 25 + C
C = -31
Hence, the equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.
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Answer: the answer is y = - 2/5x - 11
Step-by-step explanation:
it’s correct on khan academy
5. It is reported that 20% of Canadian are on CERB (Canada Emergency Response Benefit). In order to further investigate this topic, a researcher selects a random sample of 10 Canadian across the country. Assuming that this is a proper Binomial experiment, what is the probability that at least 3 Canadian are on CERB in the sample? [3 Marks]. 5. It is reported that 20 % of Canadian are on CERB ( Canada Emergency Response Benefit ) . In order to further investigate this topic , a researcher selects a random sample of 10 Canadian across the country . Assuming that this is a proper Binomial experiment , what is the probability that at least 3 Canadian are on CERB in the sample ? [ 3 Marks ] .
Using the binomial distribution, it is found that there is a 0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are:
n = 10, p = 0.2.
The probability that at least 3 Canadian are on CERB in the sample is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]
[tex]P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020[/tex]
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778.
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222[/tex]
0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.
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can you please help me with this
Answer:
Point A
Step-by-step explanation:
Point A is closest to 9
every line counts as 0.1
On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at Platform B and zip to the other platform. What is the coordinate when you reach half way?
he midpoint between the Platform B and C is ( )
, ( )
The coordinates of the mid-point between points B and C is given by:
(-5, -10).
What is the mid-point concept?The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.
The points in this problem are given as follows:
B(-40, -30), C(30, 10)
Hence the coordinates of the mid-point are:
x = (-40 + 30)/2 = -5.y = (-30 + 10)/2 = -10.More can be learned about the mid-point at https://brainly.com/question/10956693
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A _______________ can be used to display an interval of values from a data set.
A. dot plot
B. any of these
C. bar graph
D. histogram
Answer:
The histogram
The histogram is a popular graphing tool. It is used to summarize discrete or continuous data that are measured on an interval scale. It is often used to illustrate the major features of the distribution of the data in a convenient form.
Hope it helps :)
Answer:
D. Histograph can be used to display an interval of values from a data set
Need help regarding radioactive decay type of question
By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.
How to determine the initial mass of a radioactive isotope
Mass of radioactive isotopes (m (t)), in grams, decay exponentially in time according to the following model:
[tex]m(t) = m_{o}\cdot e^{-t/\tau}[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in yearsτ - Time constant, in yearsThe time constant can be found in terms of half-life:
τ = t'/㏑ 2
If we know that t' = 24100 yr, t = 1000 yr and m(t) = 5.4 g, then the initial mass of the radioactive isotope is:
τ = 24100 yr/㏑ 2
τ ≈ 34768.95 yr
[tex]5.4 = m_{o}\cdot e^{-1000/24100}[/tex]
[tex]m_{o} = 5.629\,g[/tex]
By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.
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Which of the following is a non-proportional relationship?
There are 24 students per teacher.
There are 50 apple trees in 1 square mile.
A swimming pool costs $9 per day of use plus a registration fee $12.
There are 10 fish in each fish tank.
The graph shows the velocity f(t) of a runner during a certain time interval:
Graph of line segment going through ordered pairs 0, 2 and 6, 8. Graph of another line segment going through ordered pairs 6, 8 and 8, 0. Label on the x axis is time in seconds, and label on the y axis is velocity in meters per second.
Which of the following describes the intercepts on the graph?
The initial velocity of the runner was 8 m/s, and the runner stopped after 2 seconds.
The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds.
The initial acceleration of the runner was 8 m/s2, and the runner stopped after 2 seconds.
The initial acceleration of the runner was 2 m/s2, and the runner stopped after 8 seconds.
Answer:
Option B
Step-by-step explanation:
(0,2)(6,8)(8,0)Slope
m=8-2/6m=6/6=1And
m=0-8/8-6m=-8/2m=-4These are acceleration
Y intercept is (0,2) as x coordinate is 0
This is initial velocity 2m/s
The runner stopped at 8s
Which of the following examples illustrates ordinal numbers?
A. Marie counted the number of chips on her plate and said, "I have eight".
B. Gracie told Bradly she would be the first one to go down the slide.
C. Bennett said he had more blocks than anyone.
An ordinal number is a number that specifies how something ranks in respect to other numbers. The correct option is B.
What is an ordinal number?An ordinal number is a number that specifies how something ranks in respect to other numbers, such as first, second, third, and so on. This order or sequence might be determined by size, importance, or chronology.
The example that illustrates the ordinal number is "Gracie told Bradly she would be the first one to go down the slide".
Hence, the correct option is B.
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Can you prove this statement using properties of logarithms? Assume all expressions exist
and are well-defined
3 log y z^9= log y z^27
Answer:
see below
Step-by-step explanation:
what 3 logy z^9 means you need to break it into two pieces, one log y z^9 means to find the exponent of y, and you can think z^9 as a number, and then if we multiple it with 3, which means three logs are summed,(the property of multiplication:3*2 means 2+2+2), thus log + log
has the property that the y is same z^9*z^9*z^9=z^(9+9+9)=z^27
Find the slope of the line that contains the points (-8, -2) and (-17, 4).
[tex]\Large\maltese\underline{\textsf{A. \space What is Asked}}[/tex]
Find the slope of the line that contains the points (-8,-2) and (-17,4)
[tex]\Large\maltese\underline{\textsf{B.\space This problem has been solved!}}[/tex]
If we are given two points, we can easily find the slope of the line that passes through the points. With points (y₂, y₁) and (x₂, x₁), the slope is [tex]\bf{\dfrac{y2-y1}{x2-x1}[/tex].
Similarly, with points (-8,-2) and (-17,4) the slope is.
[tex]\bf{\dfrac{4-(-2)}{-17-(-8)}}[/tex] | as we can see, it is possible to simplify this further
[tex]\bf{\dfrac{4+2}{-17+8}}[/tex] | simplify
[tex]\bf{\dfrac{6}{-9}[/tex] | reduce
[tex]\bf{-\dfrac{2}{3}}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=-\dfrac{2}{3}}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
Using the equation of slope of a line, the slope of the line that have the given coordinates is -2/3
What is the slope of the line?The slope of a line represents the measure of how steep the line is, or the rate at which the line rises or falls as you move along it. It is calculated as the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between any two points on the line.
If you have two points on a line, (x₁, y₁) and (x₂, y₂), the slope (m) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the values into the formula above;
m = 4 - (-2) / -17 - (-8)
m = 4 + 2 / -17 + 8
m = 6 / -9
m = -2/3
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solve for x: x = 0.7x + 24
Answer:
x=80
Step-by-step explanation:
x=0.7x+24
We move all terms to the left:
x-(0.7x+24)=0
We get rid of parentheses
x-0.7x-24=0
We add all the numbers together, and all the variables
0.3x-24=0
We move all terms containing x to the left, all other terms to the right
0.3x=24
x=24/0.3
x=80
Answer:
x = 80
Step-by-step explanation:
We are given the following equation.
x = 0.7x + 24
And we want to solve it for x.
For these kinds of equations, the way to solve for x is to isolate x on one side.
Because we have terms with x on both sides of the equation, we need to remove it from one side.
It's a good idea to remove x from the right side, as we also have our numbers on that side. If we move it to the left side, there aren't any numbers there, so we can more easily solve this equation.
Here is our equation again:
x = 0.7x + 24
Subtract 0.7x from both sides.
x = 0.7x + 24
-0.7x -0.7x
______________________
0.3x = 24
Now, we have variables on one side, and numbers on the other, but we aren't done yet.
Remember that we are solving for x, not 0.3x. (When x is written by itself, it is the same as 1x).
So, in order to find the value of 1x, we need to divide both sides by 0.3, as when a number is divided by itself, the value is 1. If there is a variable, the value will be 1*that variable (e.g. 1n, or n)
**Note that we don't divide by 0.3x, as if we did that, the left side would equal just 1, not 1x.
So, let's divide both sides by 0.3.
0.3x = 24
÷0.3 ÷0.3
__________
x = 80
Topic: solving linear equations
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solve this question please?
Hence the value of the expression above are as listed below
f(6+4) = 25
f(6)+f(4) = 20
f(6-4) = 1
f(6)-f(4) = 6
f(6*4) = 67
f(6)*f(4) = 91
Functions and valuesGiven the expression below f(x) = 3x - 5
f(6+4) = f(10) =3(10) - 5
f(6+4) = 25
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)+f(4) = 13+7
f(6)+f(4) = 20
f(6-4) = f(2) =3(2) - 5
f(6-4) = 1
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)-f(4) = 13-7
f(6)-f(4) = 6
f(6*4) = f(24) =3(24) - 5
f(6*4) = 67
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)*f(4) = 13*7
f(6)*f(4) = 91
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