Answer:
Step-by-step explanation:
[tex]\tan (x-\frac{\pi }{2} )=\frac{tan~x-tan~\frac{\pi }{2} }{1+tan~x~tan~\frac{\pi }{2} } \\or~\cot(x-\frac{\pi }{2} )=\frac{1+\tan~x~\tan\frac{\pi }{2} }{\tan~x-\tan~\frac{\pi }{2} } \\divide~the~R.H.S. ~by~\tan ~x~\tan~\frac{\pi }{2} \\=\frac{\cot~x~\cot~\frac{\pi }{2} +1 }{\cot~\frac{\pi }{2} -\cot~x} \\\cot\frac{\pi }{2} =0\\\cot(x-\frac{\pi }{2} )=\frac{\cot~x ~\times~0+1}{0-\cot~x} \\\cot~(x-\frac{\pi }{2} )=-\frac{1}{\cot~x} =-\tan~x[/tex]
Krutika was thinking of a number. Krutika doubles it, then adds 19 to get an answer of 65. What was the original number?
Step-by-step explanation:
2x+19=65
2x+19-65
2x-46
2x=46
x=46/2
x=23
so the number is 23
simplify 5(6k+3+7k+3y)
Answer:
65k+15+15y
Step-by-step explanation:
distribute the 5
30k+15+35k+15y
add all like terms
65k+15+15y
Answer:
65k+15y+15
Step-by-step explanation:
Add 6k and 7k.5(13k+3+3y)
Apply the distributive property.
5(13k)+5⋅3+5(3y)
Simplify.
65k+15+15y
Move 15.
65k+15y+15
What is 2 times as much as 3?
Answer:
6
Step-by-step explanation:
its basically 2 x 3 which = 6
hope this helped :D
Write the income equation for a small business that begins with $150 and grows by 20% each year. When wil the company's income income be $300?
Answer:
f(x)=150+30x
150+30x=300
30x=150
x=5
after 5 years
The area of a rectangle is 84cm² and its breadth is 12 cm. Find its length and perimeter.
Step-by-step explanation:
A=84
b=12
l=?(l)
A=l×b
84=l×12
84/12=l
7=l
perimeter=2(l×b)
=2(7×12)
=168
What is the whole number of .24
The whole number of .24 is 24
.24 is a decimal but a whole number would be the only number which is 24. So the whole number of .24 is 24.
-3(x + 4y) + 2(x – 2y) + (3x -5y)
A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 years. He mails a questionnaire on this subject to a SRS of 1600 voters in his state. His staff reports that 325 questionnaires have been returned, of these 241 respondents feel the Democratic Party is best qualified to lead the country over the next 10 years.
1. The sample is:__________
A. the voters in his state
B. the 325 questionnaires returned
C. the 241 voters who feel the Democratic Party is best qulified
D. the 1600 voters receiving the questionnaire
2. This is an example of:___________
A. a survey containing nonresponse
B. a survey with little bias because a large SRS was used
C. a survey with little bias since the voters know what they want.
D. All of the above
Answer:
1. B
2. C
Step-by-step explanation:
1. B
The sample of any set would be smaller version of a larger group. It is often a subset that contains some or all the characteristics of the main set, or the larger general population. The usage of samples comes into play in statistics when the population sizes of interest are too large for the test to contain all the needed members for it to take place. So, from this question, the sample size is the 325 questionnaires that were returned in the first place.
2. C
I thin the answer is survey with little bias since the voters know what they want. This is because while answering the survey, the voters know who they want to vote for upfront, and didn't need to gave their mind change by anyone on the survey.
5/6 = 10/ W+3 solve for W
Answer:
[tex]\huge\boxed{w=9}[/tex]
Step-by-step explanation:
In order to solve for w here, let's write the proportion.
[tex]\frac{5}{6} = \frac{10}{w+3}[/tex]
To solve for w, we need to get it isolated on one side of the equation. To do this, we can first multiply both sides by 6 and w+3 in order to get rid of the denominators.
[tex]\frac{5}{6} \cdot 6 \cdot w+3 = \frac{10}{w+3} \cdot (w+3) \cdot6[/tex] [tex]5(w+3) = 60[/tex] [tex]5w+15 = 60[/tex] [tex]5w = 45[/tex] [tex]w = 9[/tex]Therefore, w=9.
Hope this helped!
In the following scenario, which is the most important criteria in evaluating the technological device?
A parent needs a computer that can hold family photos.
Connectivity
Size
Speed
Storage
Answer:
storage
Step-by-step explanation:
Answer:
Storage
Step-by-step explanation:
Find the slope of the line that passes through (10,3) and (3,12).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
7
0
07
을
help!!!!!!
Answer:
-9/7
Step-by-step explanation:
[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]
please help! stuck on this question
Answer:
Center (h,k) = (4,7) and radius r = 7
Step-by-step explanation:
Explanation
Given that the equation of the circle
( x-4)² + (y-7)² = 49
( x-4)² + (y-7)² = 7²
Comparing the standard circle equation
(x-h)²+(y-k)² = r²
Center (h,k) = (4,7) and radius r = 7
How many solutions does 5x - 1 = 10x - 4 - 5x + 3 have?
A. Two solutions
B. One solution
C. Infinitely many solutions
D. No solutions
Answer:
c
Step-by-step explanation:
its c
If a circle has a diameter of 24 inches, which expression gives its area in
square inches?
O A. 12.
O B. 242.17
O C. 24. 1
O D. 122.77
Answer:
D. 12²•π
Step-by-step explanation:
Area of a circle = πr²
Radius (r) = ½ of diameter = ½*24 = 12 inches
Plug in the value into the area
Area = π * (12)²
Area = π * 12²
Area = 12²•π
\begin{aligned} &y=-8x -3 \\\\ &x+y=7 \end{aligned}
y=−8x−3
x+y=7
Answer:
just download conects
Step-by-step explanation:
what part of the expression is a term a.5 b.+ c.6x+ 5 d. x
PLEASE MARK BRAINLIEST!
Answer:
If I am not mistaken, the equation is:
6x + 5
So the terms are:
6x 5The coefficient is:
6The variable is:
xThe constant is:
5I hope this helps! Your question was a bit unclear...
- sincerelynini
Over the next 17 months you have to read at least 68 books. You have to read x books per month.
The inequality 17x2 68 represents this situation. Solve the inequality to find the number of books
you have to read per month.
Answer:
You have to read 4 or more books per month.
Step-by-step explanation:
Given that:
Number of months to read the books = 17 months
Number of books to read = 68 at least
Number of books per month = x
The inequality for the situation is;
[tex]17x\geq 68[/tex]
Dividing both sides by 17
[tex]\frac{17x}{17}\geq \frac{68}{17}[/tex]
x ≥ 4
Hence,
You have to read 4 or more books per month.
Read and solve.
1. Mark's car consumes 11,220 liters of gasoline in a week. How
many liters of gasoline can the car consume in 10 weeks?
Number sentence:
Answer:
You would have to use multiplication to do this problem.
The number setence would be : 11,220 x 10
The answer would be: 112,200
jeff Ran 2 miles in 16 minutes. juchan ran
what fractions are greater than 11/20
a- 3/4
b - 3/10
c - 4/5
d - 1/2
Answer:
3/4 and 4/5
I hope this helps :)
combine like terms 5x - 7y + 2x + 10y + 4
Answer:
7x+3y+4Step-by-step explanation:
Find the value of x 6 5
Answer:
√66
Step-by-step explanation:
From the Euclidean theorem x^2 = 6 × 11
x^2 = 66
x = √66
Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.
Answer:
0.8
Step-by-step explanation:
gradient = y difference/ x difference
m = (10-4)/(4--6)
If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?
A.x+y=90
x−4y=6
B.x+y=90
4x−y=−6
C.x+y=90
6x−y=−4
D.x+y=90
4x−y=6
Answer:
B
Step-by-step explanation:
x + y =90
y= 4x +6
_______
x + y = 90
4x − y = -6
The equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex]. Then the correct option is B.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The sum of x and y is 90.
And y is 6 more than four times x.
Let x and y be the numbers.
Then according to the first condition, we have
[tex]\rm x + y = 90[/tex]
Then according to the second condition, we have
[tex]\rm y = 4x + 6[/tex]
It can be written as
[tex]\rm 4x - y = -6[/tex]
Then the equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex].
Thus, the correct option is B.
More about the linear system link is given below.
https://brainly.com/question/20379472
110 mi/h is equal to mi/day
Answer:
2640 miles/day
Step-by-step explanation:
There are 24 hours in a day, so 110*24 = 2640.
The number of bacteria on a piece of toast triples every hour. If there is only one bacteria cell now, how many will there be in 24 hours?
Answer:
72
Step-by-step explanation:
3x24=72
Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help phillip estamate the tip on a $36.00 bill correctly?
A. $3.60 + $3.60 = $7.20
B. $3.60 + $1.80 = $5.40
C. $3.60 + $0.36 = $3.96
D. $1.80 + $1.80 = $3.60
Answer:
u see I did this add all the answer together to get the answer
Answer:
A
Step-by-step explanation:
solve the equation -4.2 + - (0.6) divided by 6
Answer:
-0.8
Step-by-step explanation:
-4.2 + - (0.6) /6
-4.2 - 0.6 / 6
-4.8/6
-0.8
this is really difficult
Answer:
x=32
Step-by-step explanation:
Since all angles in a triangle add up to 180, set 2x+x+2x+20=180. Then solve for x, and you'll get 32. Hope this helped!
how many times does 1/7 go into 3
Answer:
21
Step-by-step explanation:
1/7 x 7 = 1
x3 = 3
so 7x3 =21