The number of students studying nursing is 17.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
It is given that In a tutorial group of 30 students,17 students studied nursing,15 studied economics while 11 studied neither nursing nor economics.
It is clearly mentioned in the question that the number of students studying nursing is 17.
Therefore, the number of students studying nursing is 17.
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1/cosec theta + cot theta -1/ sin theta=1/sin theta - 1/ cosec theta -cot
theta
Answer:
[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Step-by-step explanation:
[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]
[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]
[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]
[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]
[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]
[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]
[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]
Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER
Answer:
57.76 in²
Step-by-step explanation:
Plug in 4.6 as x in the equation and solve:
m(x) = x² + 6x + 9
m(4.6) = (4.6)² + 6(4.6) + 9
m(4.6) = 57.76
So, the area of the mat is 57.76 in²
When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range
Answer:
Median
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What does (-4/5) - 7/5 equal to?
Answer:-3
Step-by-step explanation:
Answer:
-11/5
Step-by-step explanation:
-4/5 - 7/5 = (-4-7)/5 = -11/5
Graph this function:
y - 7 = -5(x + 5)
Answer:
Look at the graph for help
Step-by-step explanation:
if you need to graph us desmos graphing its free just plug in you cordinates
Points F and G are located at (3,-12) and (3,-8) on a coordinate plane.
What is the distance between the two points?
Answer:
The answer is
4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,-12) and (3,-8)
The distance between them is
[tex] |EF| = \sqrt{( {3 - 3})^{2} + ({ - 12 + 8})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
4 unitsHope this helps you
Answer: 4
Step-by-step explanation: 8-12=4
2 Truths & One Lie
- 39 - b = - 3
1. The Variable is B in this Equation
2. b = -36
3. b = 36
Which one is a Lie?
Justify your decision.
WILL GIVE 20 POINTS!!
Answer:
b = 36 is the lie.
Step by step:
If we plug in b with it equaling -36 the equation will be
-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get
-39 + 36 = -3
In the end b = -3
So the other one must be wrong, but just incase we will plug it in.
-36 - 36 = 0
Plugging in 36 for b results in 0 which is not correct.
A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.
Answer:
40 did it on edge
Step-by-step explanation:
The unit rate of calories per ounce will be 40 calories/ ounce
What is proportion ?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :
4-ounce = 160
1- ounce = 160/4
=40
Therefore, the unit rate of calories per ounce = 40 calories/ ounce.
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Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??
Answer:
I believe the term is the index number
Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
he fill with 1 gallon of blue paint?
Given :
Mr. Rivera pours 2 cups of blue paint into a jar for each art station.
1 cup = 8 ounces.
1 gallon = 128 ounces.
To Find :
How many jars can he fill with 1 gallon of blue paint.
Solution :
Since, a jar is filled with 2 cups.
1 jar = 2 × 8 = 16 ounces.
So, number of jars required to fill 1 gallon of blue paint is :
[tex]n=\dfrac{128}{16}\\\\n=8[/tex]
Therefore, 8 jars are required to fill 1 gallon of blue paint.
Hence, this is the required solution.
got this question wrong! what is the correct answer? will give brainliest and thanks
Kyle's expenses are $1,850 each month. 1) How much money must Kyle earn each month to break even? A) $1,000 B) $1,675 C) $1,850 D) $2,000
What is 15 to the 7 power divided by 15 to the 4 power equal to?
Answer:
3375
Step-by-step explanation:
What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4
Answer:
The correct answer is (D) 4
Step-by-step explanation:
Hopes this helps!
Answer:
(D) 4
Step-by-step explanation:
6/7
÷
3/14
=
6/7
×
14/3
=
6 × 14
7 × 3
=
84/21
=
84 ÷ 21
21 ÷ 21
= 4
Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360 miles
Step-by-step explanation: 640/16=40. 40x9=360.
Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?
Answer:
13 seconds
Step-by-step explanation:
It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0
What is shrek’s ultimate life form
shrek himself is the ultimate life form
Answer:
This is Shreks ultimate form.
Step-by-step explanation:
This is Shreks ultimate form.
The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)
Answer:
A) (3,7)
Step-by-step explanation:
If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)
Answer:
A) (3,7)
Step-by-step explanation:
if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.
Frank also has an eraser. It has a mass of 3g, and volume of 1cm3.what is it’s density
Here
mass = 3g
volume = 1 cm³
we know
density = mass/ volume
3/1 = 3g/cm³
30. June's weekly salary is $70 less than Kelly's, which is
$50 more than Eileen's. If Eileen earns $280 per week.
how much does June earn per
week?
6.
(A) $160
(B) $260
(C) $280
(D) $300
Drew
If f(x)=−2(x+7), then what is f(−10)? 66 3434 −34negative 34 −6negative 6
For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14
Answer:
See attachment for the figures drawn for each question.
10. x = 3; AB = 11
11. x = 2; AB = 6
Step-by-step explanation:
10. AC = 10x + 2
AB = 2x + 5
BC = 4x + 9
AB + BC = AC (segment addition postulate)
(2x + 5) + (4x + 9) = 10x + 2 (substitution)
The equation above is what we would use to solve the problem as follows:
2x + 5 + 4x + 9 = 10x + 2
Combine like terms
6x + 14 = 10x + 2
6x - 10x = -14 + 2
-4x = -12
Divide both sides by -4
x = 3
AB = 2x + 5
Plug in the value of x
AB = 2(3) + 5 = 6 + 5
AB = 11
11. AB = 3x
BC = x - 6
AC = 8x - 14
AB + BC = AC (segment addition theorem)
3x + (x - 6) = 8x - 14 (substitution)
Use the equation to solve for x as follows:
3x + x - 6 = 8x - 14
Collect like terms
4x - 6 = 8x - 14
4x - 8x = 6 - 14
-4x = -8
x = 2 (dividing both sides by -4)
AB = 3x
AB = 3(2)
AB = 6
Solve the equation 2x+4(x-6)=3(2x-8)
Thank you
Answer:
IMS aka infintely many solutions :)
Step-by-step explanation:
2x+4(x-6)=3(2x-8)
distribute
2x+4x-24=6x-24
combine like terms
6x-24=6x-24
carry across equal sign
6x=6x
carry across equal sign
0=0 aka IMS
Answer:
No solutions I think
Step-by-step explanation:
2x + 4(x -6) = 3(2x -8)
2x + 4x -24 = 6x - 24
6x - 24 = 6x - 24
-6x +24 -6x +24
0 = 0
Hopefully this helped :)
How do u write 0.57 repeating as a fraction in simplest form explain the steps please!
Answer:
57/99
Step-by-step explanation:
let's set up an equation:
x = 0.5757...
set up a second equation so the numbers after the decimal places are equal
100x = 57.5757...
subtract
100x = 57.5757...
- x = 0.5757
99x = 57
divide by 99
x = 57/99
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
We have,
Let x = 0.575757... (with 57 repeatings)
Multiplying x by 100,
100x = 57.575757...
Subtracting the original x from 100x,
100x - x = 57.575757... - 0.575757...
99x = 57
To obtain x, divide both sides by 99:
x = 57/99
Dividing both the numerator and denominator by 3,
x = (57/3) / (99/3)
x = 19/33
Therefore,
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
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Can someone please work this out step by step for me
I assume we're solving for n.
3n/7 - 1 = 1/8.
First, add 1 to both sides.
3n/7 = 9/8
Now, let's multiply both sides by 7
3n = 63/8
Divide both sides by 3
n = 21/8
A bag holds 12 red marbles, 11 green
marbles, 17 blue marbles, and 5 yellow
marbles. What is the probability that
you will NOT choose a blue marble?
5
A
45
(В)
11
45
12
© 45
28
45
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble
Which of the following inequalities is not true?
|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0
Answer:
[tex] | - 9| = |9| [/tex]
This is because modulus number will be always positive
Hope this is correct and helpful
HAVE A GOOD DAY!
how do you round up/down numbers PLEASE ANSWER
Answer:If the number is over 5 then you go to the next number
Step-by-step explananation
7.99 = 8 its over 5
How do you solve this kind of equation? 9(x+2) > 9(x-3)
Step-by-step explanation:
okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.
Answer:
0>-45
True for all x
Step-by-step explanation:
[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]
Find JH if I is the midpoint.
Answer:
158
Step-by-step explanation:
If I is the midpoint of JH, JI= IH
JH= JI +IH
JH= JI +JI (subst. IH= JI)
JH= 2(JI)
Since JI= 79,
JH= 2(79)
JH= 158