Answer:
= 15
Step-by-step explanation:
21 + 15 = 36
36/2 = 18
Therefore, 15 is the missing number :33
Answer:
15.
Step-by-step explanation:
There are 6 ( even number) of values in the data so:-
the median is the mean of the 2 middle numbers.
Therefore, we have:
(x + 21)/2 = 18 where x is the missing number.
x + 21 = 2*18
x = 36 - 21 = 15.
Need answers quick pleaseeee!!
Answer:
The measure of its complementary angle is 3.
Step-by-step explanation:
help will mark Brainliest
Answer:
The third box model
Step-by-step explanation:
Since she earns 162 from babysitting and got a total of $810, it would eman that (x represents the amount of money she got from mowing lawns) 810-162=x
x=648 so the third box model is correct
Guys, I have a question.
Will I still pass if I got a C+ in terms 1, 2, and 3?
Because I got C+ in terms 1 and 2 and I'm scared to fail so can anyone tell me if I will fail or pass if I got a C+ in term 3, and motivate me and make me confident?
C+
if you get a C+ in term three and four then I don't think you will pass if you get a C+ in term three but get your grade up to B+ A- or A+ i term four you will and if you get in the B range for term 3 at least and keep it up in term four you will pass you just have to study and pay attention in class i believe in you. you can do it
Using the table below, what is the probability of selecting a girl or someone who likes Michigan?
Ohio State
Michigan
NC State
Total
Boys
56
14
20
90
Girls
50
22
38
110
Total
106
36
58
200
Using the table of values, the probability of selecting a girl that likes Michigan is 0.11
How to determine the probability?The table is given as:
Ohio State Michigan NC State Total
Boys 56 14 20 90
Girls 50 22 38 110
Total 106 36 58 200
In the above table, 22 girls out of the total sample size of 200 like Michigan.
This means that the required probability is:
P = 22/200
Evaluate the quotient
P = 0.11
Hence, the probability of selecting a girl that likes Michigan is 0.11
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How do you solve for x?
..........................
2. Mary has saved $160 of the $250 she needs for rent.
She takes home $6 an hour from her part-time job.
Mary works the same number of hours each day for 3
days. How many hours does Mary have to work each
day to take home enough money to pay the balance
of her rent?
F. 3 hours
G.
4 hours
H.
5 hours
J.
6 hours
K
7 hours
Answer:
H - 5 hours
Step-by-step explanation:
We can setup an equation to solve the question.
Let [tex]h[/tex] be the number of hours Mary must work.
[tex]250 = 160 + 3(6h)[/tex]
250 - the amount of money Mary needs
160 - the amount of money Mary has saved already
3 - How many days she works
6h - How much she gets paid per day
[tex]250 = 160 + 3(6h)\\90 = 3(6h)\\90=18h\\5=h[/tex]
This means Mary must work 5 hours each day to pay her rent.
Kara’s car used 1/16 gallons of gas to drive 1/8 of a mile at this rate how many miles can Kara’s car drive using one gallon of gas
Subtract.
−1 3/5 − (−2 7/8)
Enter your answer as a simplified fraction by filling in the boxes.
It shouldn't be a mixed number.
help me please really help
Answer:
60
Step-by-step explanation:
10 x sqrt64 - 5 x 4
10 x 8 - 5 x 4
80 - 20
60
Help please bed asap thank you!!!
Answer:
hr
Step-by-step explanation:
N
The accurate scale drawing shows
the positions of port P and a lighthouse L.
►
c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
Feedback
The Indication of the position of port Q on the drawing is shown by using the example of the image attached.
What is the distance about?To Indicate the position of port Q on the drawing (use the x tool).
12 * 5 = 60km
Note that S= VT
Because 1cm represent 3km
1/3 =x/60
3x = 60
x= 60/3
x= 20
So therefore, 60km needs 20cm.
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Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to indicate exponents. For example, type a2 as a∧2. (Hint: Let s be a length of each side and x be the angle measure; then use these variables in the law of cosines.)
The algebraic proof shows that the angles in an equilateral triangle must equal 60° each
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.
Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are
cos A = (b² + c² - a²)/2bc
cos B= (a² + c²- b²)/2ac
cos C = (a²+ b²- c²)/2ab
Now, given that the triangle is equilateral, with each of the side lengths equal to s
That is, a = b = c = s
Then, we can write that
cos A = (s² + s² - s²)/(2s×s)
cos A = (s² )/(2s²)
cos A = 1/2
cos A = 0.5
∴ A = cos⁻¹(0.5)
A = 60°
Also
cos B = (s² + s² - s²)/(2s×s)
cos B = (s²)/(2s²)
cos B = 1/2
cos B = 0.5
∴ B = cos⁻¹(0.5)
B = 60°
and
cos C = (s² + s² - s²)/(2s×s)
cos C = (s² )/(2s²)
cos C = 1/2
cos C = 0.5
∴ C = cos⁻¹(0.5)
C = 60°
Thus,
A = 60°, B = 60° and C = 60°
Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.
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A survey was given to 90 high school students. They were asked if they preferred fiction or non-fiction and if they preferred indoor or outdoor activities. Partial survey results are shown in the table.
What percent of students in the survey, to the nearest whole number, prefer outdoor activities given they prefer non-fiction?
Enter a number in the box.
P(outdoor | non−fiction)= _%
Answer:
11% of people preferred outside and non-fiction
Step-by-step explanation:
Table attached,
10/90 = 0.11
0.11 = 11%
The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.
What is the percent?The first step is to determine the total number of people that like fiction: 24 + 30 = 54
Now, determine the total number of people that like non-fiction: 90 - 54 = 36
The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26
The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10
Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%
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When looking for interesting facts, avoid using
A. Lists of statistics
B. Quotes from famous people
C. Reliable sources
D. Humor
Answer:
D: humor.
Step-by-step explanation:
it's just common sense. I am not a gen z so I should know.
I need a bit of help with this question so please if you could answer:
To the nearest hundredth, what is the value of x?
Use a trigonometric ratio to compute a distance
59.72
56.35
35.94
27.08
Check the picture below.
Make sure your calculator is in Degree mode.
Need help trying to find the answer
Step-by-step explanation:
[tex] = \frac{2}{9} \times \frac{3}{5} \\ [/tex]
[tex] = \frac{6}{45} \\ [/tex]
Change into lowest term...
[tex] = \frac{2}{15} \\ [/tex]
PLEASE HELP ME WITH THIS!! I NEED HELP
Answer:
It would be d
Step-by-step explanation:
Its d because its in a staright line
Answer:
D.
Step-by-step explanation: the rest are either non-linear , have no correlation, have a curvilinear relationship, or have no association.
A 24-foot ladder leans against a wall the base of the ladder is 9 feet from where the wall meets the ground how far up the wall does the ladder reach ?
Answer
24*9= the answer
Step-by-step explanation:
If tan theta=8÷15 find sin theta+cos theta÷cos theta (1- cos theta)
Answer: 371/30
Step-by-step explanation:
Using basic geometry, solve sin 105°
Answer:
See below
Step-by-step explanation:
sin ( 60 + 45) = sin60 cos 45 + cos45 sin60
= sqrt3 / 2 * sqrt2/2 + sqrt2/2 * 1/ 2
sqrt6/4 + sqrt 2/ 4
(sqrt6 + sqrt 2) / 4
1. Use the following table to answer the questions: (Note: f(x) is a continuous function)
[x] -2,3,4,8
[f(x)] 7, -2, 3, 6
[f'(x)]-4.5,-0.25,1,8
a. If g(x)=f(x), is g(x) a function?
b. Find f(g(4)).
c. Write the equation of the line tangent to g at x = -2.
PLEASE SEE PHOTO! Can you explain why my answers were wrong and can you find the correct answers to all of them?
1. a. No, g(x) is not a function because f(x) is not invertible. This is because it's not a monotonic function, which we gather from the table. On the interval [-2, 3], f(x) decreases from 7 to -2, but on the following interval [3, 4], f(x) increases to 3 and becomes positive once more. At best, f(x) is locally invertible.
1. b. This is impossible to determine... We can't know g(4) without knowing for which x we have f(x) = 4, but that's not included in the table.
1. c. The slope of the tangent line to f(x) at x = -2 is f'(-2) = -4.5. Then the equation of the tangent to f(x) at x = -2 - which means it passes through the point (-2, f(-2)) = (-2, 7) - is
y - 7 = -4.5 (x - (-2)) ⇒ y = -4.5x + 16
2. Given f(x) = arctan(3x) - ln(1 + 9x²), compute the derivative:
f'(x) = 3/(1 + (3x)²) - 18x/(1 + 9x²)
f'(x) = (3 - 18x)/(1 + 9x²)
Find the critical points of f(x), where f'(x) = 0 or doesn't exist. Only the first case can happen since the denominator is never zero. So
3 - 18x = 0 ⇒ x = 1/6
is the only critical point.
Also compute the second derivative, then check its sign at the critical point:
f''(x) = (-18 - 54x + 162x²) / (1 + 9x²)²
f''(1/6) = -72/5 < 0
The negative sign indicates that x = 1/6 is the site of a local maximum of
f(1/6) = arctan(1/2) - ln(5/4) ≈ 0.241
Also check the values of f(x) at the endpoints of the interval [0, 1]:
f(0) = 0
f(1) = arctan(3) - ln(10) ≈ -1.054
So, the maximum value of f(x) on [0, 1] is f(1/6) ≈ 0.241.
Evaluate the following when n = 7: 5(n - 5)
Hey! there
Answer:
10 is the answerStep-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]
We are substituting value of n as 7 :
[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]
Solving parenthesis that is subtracting 5 from 7 :
[tex] \quad \longmapsto \qquad \:5(2)[/tex]
Now we are multiplying 5 with 2 and We get :
[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]
Henceforth , value of expression when n is equal to 7 is ❝ 10 ❞#Keep LearningStep-by-step explanation:
Answer:
10 is the answer
Step-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]
We are substituting value of n as 7 :
[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]
Solving parenthesis that is subtracting 5 from 7 :
[tex] \quad \longmapsto \qquad \:5(2)[/tex]
Now we are multiplying 5 with 2 and We get :
[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]
Henceforth , value of expression when n is equal to 7 is 10
Polygon with exactly one line of symmetry label the line of symmetry
Answer:
Kite
Step-by-step explanation:
Kite. A kite has one line of symmetry
What is the solution to the system of equations? (You can either do the substitution or elimination method) x - 2y = 19 x + 3y = 14 (1.-17) (-1, 17) (-17, 1) (17,-1)
Answer:
D. (17,-1)
Step-by-step explanation:
We'll start by canceling out x. To do so, multiple the first equation by -1
-1( x - 2y)=( 19 )(-1)
This gives us:
-x +2y = -19
x + 3y = 14
Add the equations together:
→ 5y = -15
→ y = -1
Plug in y = -1 into an equation:
→ x + 3(-1) = 14
→ x - 3 = 14
→ x = 17
(17,-1)
Hope this helps!
The answer in the calculation for this answer is incorrect.
120 = 12x
x=12 is not accurate -- it should be 10
Answer:
10
Step-by-step explanation:
it is 10 I jus did it 120 =12 x x =12 10
What equation describes the graph?
Answer:
C. y = 3x -2
Step-by-step explanation:
y = mx + b
start with b, the y-intercept, which is -2.
Next find m, the slope. From -2 on the y-axis you are going to find the slope by doing rise/run. You will rise 3 units and run 1 unit to get to the next point on the line.
The equation is y = 3x -2
what are the domain and range of the function represented by the set of ordered pairs?.
Answer:
a
Step-by-step explanation:
domain is based on x values in the front
range is based on y values in the back
find the area of rectangle hall of length 64 5/7 m and breadth 23 3/8 m
The area of the rectangle hall is 1512.7 square m if the length 64 5/7 m and breadth 23 3/8 m
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The length of the rectangle = [tex]64\dfrac{5}{7}[/tex] m = 453/7 m
The breadth of the rectangle = [tex]23\dfrac{3}{8}[/tex] m = 187/8 m
The area of the rectangle hall:
= (453/7)(187/8) = 1512.69 ≈ 1512.7square m
Thus, the area of the rectangle hall is 1512.7 square m if the length 64 5/7 m and breadth 23 3/8 m
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Find the domain and range of the given relation (6,3), (-7,-3), (-4,1), (1,-4)
Answer:
Step-by-step explanation:
The domain are all the x values
(-7,-3), (-4,1), (1,-4), (6,3)
x here is from -7 to 6
domain ∈ [-7, 6]
The range are all the y values
(1,-4), (-7,-3), (-4,1), (6,3)
y here is from -4 to 3
range ∈ [-4, 3]
Why is the graph of y=x² always positive?
Answer:
Step-by-step explanation:
Because a square must be positive no matter what the sign of x is.
(-2)^2 = 4
2^2 = 4