Answer:
[tex]\cot(\theta)[/tex]
Step-by-step explanation:
Trig identities:
[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}[/tex]
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
[tex]\cos(2\theta)=cos^2(\theta)-sin^2(\theta)[/tex]
[tex]\implies \cos(2\theta)=2cos^2(\theta)-1[/tex]
[tex]\implies2cos^2(\theta)= \cos(2\theta)+1[/tex]
[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]
Therefore,
[tex]\dfrac{\cos(2\theta)+\sin(\theta) \times \csc(\theta)}{\sin(2\theta)}[/tex]
[tex]=\dfrac{\cos(2\theta)+\dfrac{\sin(\theta)}{\sin(\theta)}}{\sin(2\theta)}[/tex]
[tex]=\dfrac{\cos(2\theta)+1}{\sin(2\theta)}[/tex]
[tex]=\dfrac{2cos^2(\theta)}{\sin(2\theta)}[/tex]
[tex]=\dfrac{2cos^2(\theta)}{2\sin(\theta)\cos(\theta)}[/tex]
[tex]=\dfrac{cos(\theta)}{\sin(\theta)}[/tex]
[tex]=\cot(\theta)[/tex]
10. If the Federal Reserve sells $50,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is decreased by $50,000.
B. It is increased by $50,000.
C. It is decreased by $55,500.
D. It is increased by $55,500.
Answer:
b
Step-by-step explanation:
The immediate effect on the money supply when the Federal Reserve sells $50,000 in Treasury bonds to a bank at 8% interest is that It is decreased by $50,000.
Option A is the correct answer.
We have,
When the Federal Reserve sells Treasury bonds to a bank, it takes money out of the banking system.
The concept used in this scenario is the Open Market Operations (OMO) conducted by the central bank, which in this case is the Federal Reserve.
Open Market Operations refer to the buying and selling of government securities, such as Treasury bonds, by the central bank in the open market.
The bank pays $50,000 to the Federal Reserve to purchase the bonds, and this money is removed from the money supply, leading to a decrease in the overall money supply in the economy.
Thus,
The immediate effect on the money supply is:
A. It is decreased by $50,000.
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Sophia codes 1/5 of her game in 1/4 of an hour
At this rate how much of her game can she code in 1 hour?
1. Show your thinking step-by-step on how you saw this problem
2. Don’t forget to add the final answer
Giveing Brainly and worth 50 points!!!
(Please actually answer or don’t comment)
she can code 4/5 of her game in 1 hour at this rate.
[tex]\sf \dfrac{1}{4} \ hour \rightarrow \dfrac{1}{5} \ or \ 0.2 \ of \ her \ game[/tex]
[tex]\sf 1 \ hour \rightarrow \dfrac{\dfrac{1}{5} }{\dfrac{1}{4} } \ or \ \dfrac{0.2}{0.25} \ of \ her \ game[/tex]
[tex]\sf 1 \ hour \rightarrow \dfrac{1}{5} *\dfrac{4}{1} \ \ or \ \ \dfrac{0.2}{0.25} \ of \ her \ game[/tex]
[tex]\sf 1 \ hour \rightarrow \dfrac{4}{5} \ or \ 0.8 \ of \ her \ game[/tex]
Solution:
We know that:
[tex]\frac{Game}{5} = \frac{Hour}{4}[/tex]Let's multiply 4 both sides to see how much Sophia can code in 1 hour.
Multiplying 4 both sides:
[tex]\frac{Game}{5} = \frac{Hour}{4}[/tex][tex]\frac{Game}{5} \times 4 = \frac{Hour}{4} \times 4[/tex]Finding how much Sophia can code in 1 hour.
=> [tex]\frac{Game}{5} \times 4 = \frac{Hour}{4} \times 4[/tex]=> [tex]\frac{4}{5} \ of \ game = \frac{Hour}{4} \times 4 = 1 \ hour[/tex]Thus, Sophia can code 4/5 of her game in 1 hour.
180 kids received balloons at a grand opening. If this represents 90% of
the children who went to the grand opening, how many total children
attended the grand opening?
Triangle ABC is an isosceles triangle with AB = BC and mA=75°.
What is mB?
Answer: 30 degrees
Step-by-step explanation:
How to rewrite 4 x 6 2/3 as a product of a unit fraction and a while number.
What is the opposite of -9.7?
Answer:
9.7..................
Answer:
If its just the number then 9.7
Step-by-step explanation:
9.7 is the exact opposite of -9.7
Please mark brainlest
Convert to a decimal. Be sure to mark repeating decimals.
Answer:
[tex].24\\is\\reapeating\\0.24[/tex]
Step-by-step explanation:
The ratio of dogs to cats at the
pet store is 2:5. If there are 6 more
cats than dogs, how many dogs are
at the pet store?
The ratio of dogs to cats at the
pet store is 2:5. If there are 6 more
cats than dogs, how many dogs are
at the pet store?
Dogs : 2
Cats : 5
Answer :-1
5 - 2 = 3,
-1, 0, 1, 2, 3, 4, 5
1 - 5 will give us a 6
ASSESMENT. Indicate the voltage/resistance reading of the voltmeter/ohmmeter/multimeter below.
Correct answer= Brainlest and 5 stars with heart.
Nonsense= Report/ and I can disable ur acc so beware.
Answer:
When looking straight at the display, read the position of the needle along the scale.
Step-by-step explanation:
YAN PO YUNG CLUE TRY MO PONG GAWIN PERO YANG SAGOT KO HINDI PO NONSENSE
Jack bought 3 slices of pizza and 4 slices f mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of 8.50. What is the cost of one slice of mushroom pizza?
A. $3.00
B. $1.50
C. $2.00
D. $3.50
PLEASE HELP ♡
Answer:
C
Step-by-step explanation:
Let's set up a simultaneously equation to solve for two unknows.
Let x be the cost of cheese pizza
Let y be the cost of mushroom pizza
"Jack bought 3 slices of pizza and 4 slices f mushroom pizza for a total cost of $12.50."
Therefore,
3x + 4y = 12.50 (Equation 1)
"Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of 8.50."
Therefore,
3x + 2y = 8.5 (Equation 2)
From equation 1, let's solve for x in terms of y
3x + 4y = 12.50
3x = 12.50 - 4y
[tex]y = \frac{12.50-4y}{3}[/tex]
Plug in this y value into equation 2, we have:
[tex]3(\frac{12.50-4y}{3}) + 2y = 8.5[/tex]
We will get that y = 2
Hence, option C is the answer.
PLEASE HELP ME!!!!!!!!
The costs for two families to attend Friday nights basketball game are given by
2x + 3y=13.50 and 3x + 2y= 16.50, where x is the cost of an adult ticket and y is the cost of a student ticket, in dollars.
A. What is the real- world meaning of the first equation?
B. Solve this system of equations using the substitution method.
C. What are the prices of adult and student tickets?
What is the real- world meaning of the first equation?
The first equation is: 2x+3y=13.50
The real world meaning of this is that the cost of two adult tickets plus cost of three student tickets is 13.5 dollars[tex]\rule{300pt}{1pt}[/tex]
#BSolve this system of equations using the substitution method.
[tex] 2x + 3y = 13.50 \\ 3x + 2y = 16.50[/tex]
[Solve the second equation for x][tex]2x + 3y = 13.50 \\ x = 5.5 - \frac{2}{3} y[/tex]
[Substitute the given value of x into the first equation][tex]2(5.5 - \frac{2}{3} y) + 3y = 13.50[/tex]
[Solve the equation for y][tex]y = 1.5[/tex]
[Substitute the given value of y into the second equation][tex]x = 5.5 - \frac{2}{3} \times 1.5[/tex]
[Solve the equation for x][tex]x = 4.5[/tex]
[The possible solution of the system is the ordered pair (x,y)][tex](x,y)=(4.5,1.5)[/tex]
[tex]\rule{300pt}{1pt}[/tex]
#CWhat are the prices of adult and student tickets?
X is representing the cost of 1 adult ticket, When we solved the equation we got the value of x as 4.5 that means the cost of an adult ticket is $4.5...~Y is representing the cost of 1 student ticket, When we solved the equation we got the value of y as 1.5 that means the cost of an student ticket is $1.5...~help!! just 2 questions!! show steps.
Can someone help mean pls
Answer:
It's option 'B'
Please mark as brainliest
Sis come her now!!
What is six to the coordinates of 89÷48 6000
The expression 89÷486000 represents the quotient of 89 and 48600
The result of the quotient 89÷486000 is 0.000183
How to determine the quotient 89÷486000To do this, we simply make use of a calculator.
We have:
89÷486000
Using a calculator, the result is:
89÷486000 = 0.00018312757
Approximate to the six decimal places
89÷486000 = 0.000183
Hence, the quotient 89÷486000 is 0.000183
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2. What is the area of the circle below?
Use the formula A = nr2.
3 m
А зл m2
B 6T m?
C 9r m?
A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables?
i. The amount of rain, in inches, that will fall in New York.
ii. The gender of a randomly drawn student from University of Houston. The number of books purchased next semester for my classes.
a. i only
b. ii only
c. iii only
d. i and iii
e. ii and iii
f. i, ii, and iii
Answer:
1 and 3
Step-by-step explanation:
The amount of rain in inches will be in numbers .So its random variableNo of books purchased is also a numerical .So its a random variable.Use a protractor to draw a pentagon so that the bottom side is horizontal and the left and right sides are perpendicular to the bottom side. The angles formed at the top left and right sides each measure 146°.
What is the measure of the fifth angle?
57°
63°
68°
74°
Answer:
I got y'all with this one the answer is 68°
Step-by-step explanation:
I hope this helps.
Can you please help me
Answer:
-17 (I believe)
Step-by-step explanation:
If x = 64 then the first one is asking for the square root of 64 (8)
With y being 25 the second part of this problem is actually really easy, all its doing is getting the square root and then squaring it (doing nothing at all) so that would just be 25 which would make it
8-25 which would be -17
the complement of 17% is what
Answer:
83%
Step-by-step explanation:
100%-17%=83%
i hope it helps
A shopper pays $49.05 for a $45 desk chair after sales tax is added. What is the sales tax percentage?
find the product. write your answer in exponential form 8^-9 x 8^4
Answer:
[tex]8^{-5}[/tex]
Step-by-step explanation:
When both terms share the same base, and you are multiplying, you are really adding the variables. Add:
[tex]8^{-9} * 8^{4}\\ = 8^{-9 + 4} = 8^{-5}\\\\8^{-5}[/tex]is your answer.
~
Hello! I need help with this problem.
2.) Consider the quadratic equation 6x^2+11x-10=0
A.) solve it by using zero product property
Step-by-step explanation:
Roots Theorem
[tex]6 {x}^{2} + 11x - 10 = 0[/tex]
Use the AC method,
The roots must multiply to -60 and add up to 11.
Those two numbers are 15 and -4
So we have know
[tex]6 {x}^{2} + 15x - 4x - 10 = 0[/tex]
[tex]3x(2x + 5) - 2(2x + 5)[/tex]
[tex](3x - 2)(2x + 5) = 0[/tex]
Set each binomial equal to zero
[tex]3x - 2 = 0[/tex]
[tex]3x = 2[/tex]
[tex]x = \frac{2}{3} [/tex]
[tex]2x + 5 = 0[/tex]
[tex]2x = - 5[/tex]
[tex]x = - \frac{5}{2} [/tex]
15 is what percent of 45?
The percent of what 15 is of 45 is; 33.33%
What is the percentage of the number?
We want to find the percentage of 15 out of 45.
This means that we can express it as;
15/45 * 100%
⇒ 33.33%
Thus, we conclude that the percent of what 15 is of 45 is 33.33%
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A university employs a total of 560 teaching assistants and research assistants. There are three times as many teaching
assistants as research assistants. Find the number of research assistants employed by the university.
research assistants
Answer:
170
Step-by-step explanation:
There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.
Which set of side lengths can form a triangle?
А. 6 cm, 8 cm, and 16 cm
B. 6 cm, 8 cm, and 10 cm
C. 6 cm, 7 cm, and 14 cm
D. 6 cm, 7 cm, and 20 cm
Step-by-step explanation:
6 cm, 8 cm, and 10 cm (B) form a triangle.
The Triangle Inequality Theorem states that the sum of the lesser two sides must be greater than the third.
please help me with this !!
evaluate f(x) = [x - 12.3] at x = -4.8
thank you so much !!
Answer:Differentiate w.r.t. x. 12.3. 12.3. Tick mark Image. View solution steps ... Worked example: Taylor polynomial of derivative function. Khan Academy.
Step-by-step explanation:
A sports medicine doctor is interested in comparing the effectiveness of a new sports drink for adult athletes. The doctor randomly assigns a group of 80 adult athletes into 2 equal groups. One group is given the new sports drink, while the other is given a placebo.
Which type of study is the doctor using?
A. Experiment
B. Observational study
C. Survey
The type of study which is sports medicine doctor is using on the adult athletes for the placebo soft drink is experiment.
What is the type of statistical study?Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.
There are three main types of statistical study-
A. Experiment-In this type of statistical study, the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions. B. Observational study-In the observational study of statistics, the value of the variables are recorded for different associates of the set.C. Survey-In the survey type of study, the data is gathered by directly asking the queries to the people regarding the study.It is given that a sports medicine doctor is interested in comparing the effectiveness of a new sports drink for adult athletes.
For this, the doctor randomly assigns a group of 80 adult athletes into 2 equal groups of 40-40 each.
Now, one group is given the new sports drink, while the other is given a placebo.Here, the medicine doctor is directly giving the sport drink to a set of sample.
By this he will, see the effectiveness of the group which are given placebo drink compare to the other group, which are not given this drink.
Thus, type of study which is sports medicine doctor is using on the adult athletes for the placebo soft drink is experiment.
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Select all the equations that are NOT equivalent to p – 7 = 22.
p – p – 7 = 22 – p
p – 7 – p = 22 – p
p – 7 + 22 = 22 – 7
p – 7 + 7 = 22 – 22
p – 7 + 7 = 22 + 7
Step-by-step explanation:
p-p-7=22- p
p-7-p = 22 - p
p-7+7 = 22+7
how much interest would $5,000 earn in one year at a rate if 5% compounded annually? what would be the new balance
