Step-by-step explanation:
5. I assume you mean this:
(cos²x / sin x) + sin x
Add using common denominator.
(cos²x / sin x) + (sin²x / sin x)
(cos²x + sin²x) / sin x
Use Pythagorean identity.
1 / sin x
csc x
6. tan²x cos²x
Write tangent in terms of sine and cosine.
(sin²x / cos²x) cos²x
Simplify.
sin²x
Use Pythagorean identity.
1 − cos²x
A fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of ¼ of a pound of fudge each. How many packages does he make?
A 1/16
B 1
C 8
D 16
Answer:
16
Step-by-step explanation:
we are dividing based on the word separate.
4 divided by 1/4 is 16/1 which is 16.
so the worker made 16 packages
Please inform me if there are any questions:)
The number of fudge will be 16. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of ¼ of a pound of fudge each.
We are dividing based on the word separate.
4 divided by 1/4 is 16/1 which is 16.
Number = 4 / ( 1 / 4 )
Number = 16
The worker made 16 packages.
To know more about an expression follow
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Annie bakes cookies and cupcakes in a ratio of 4 to 3 for her gift boxes. Her school needs 35 desserts to sell in a bake sale.
How many cupcakes will she bake? How many cookies will she bake?
Answer:
20 cookies and 15 cupcakes (20:15)
Explanation:
First you need to multiply 4 by 5 which equals 20. Then 3 by 5 which equals 15. Then you need to add them together to get 35!
Ratio Table!
4 | 3 x4
16 | 12 + 4:3
20 | 15 = 35!
I Hope This Helps!
determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x + 27) (3x + 6)
Answer:
I don't know what you're saying but the answer is 6x^2+93x+162
Step-by-step explanation:
f(x) = x² + x; f(1)??
What relations, if any, are functions? Select all that apply.
ayooooo the functions: a and d.
In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 101. What is the probability that the sample proportion will be within 3 percent of the population proportion?
Answer:
0.5137
Step-by-step explanation:
The margin of error equals the critical value times the standard error.
MoE = CV × SE
In this case, the critical value is the z-score.
For a proportion, the standard error is:
SE = √(pq/n)
SE = √(0.75 × 0.25 / 101)
SE = 0.04309
Therefore:
0.03 = z × 0.04309
z = 0.6963
So the probability is:
P(-0.6963 < Z < 0.6963)
= P(Z < 0.6963) − P(Z < -0.6963)
= 0.7569 − 0.2431
= 0.5137
HELP!!!
Find the equation of a line parallel to 2x + 2y=6 that contains the point (3,-5), Write the equation in slope-intercept
Answer:
[tex]y = -x -2[/tex]
Step-by-step explanation:
Slope-Intercept form of the line
Any given line with slope m and y-intercept b can be written as:
y=mx+b
We need to find the equation of a line parallel to
2x + 2y = 6
Dividing by 2:
x + y = 3
Solving for y:
y = -x + 3
Comparing with the slope-intercept form of the line:
m = -1
Parallel lines have the same slope, thus the required line must have a slope m = -1.
Since we have a point through which the line passes, we use the point-slope form:
y - k = m ( x - h )
Where (h,k) is the point.
The required equation of the line is:
y - (-5) = -1 (x - 3)
Operating:
y + 5 = -x + 3
Solving for y:
[tex]\boxed{y = -x -2}[/tex]
Evaluate the following expression.
50÷ 5^2×2
Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Complete Question
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 9-year period. Assume each year is independent.
Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Answer:
The probability is [tex]P(X > 2) = 0.0007 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of an IRS audit for a tax return with over $25,000 in income is p= 0.02
The sample size n = 9
Generally the distribution of IRS audit for a tax return follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that a person is not audited at all is mathematically
[tex]P(X = 0) = ^{9}C_0 * (0.02)^0 * (1- 0.02 )^{9-0}[/tex]
[tex]P(X = 0) = ^{9}C_0 * (0.02)^0 * (0.98 )^{9-0}[/tex]
[tex]P(X = 0) = 0.8337[/tex]
Generally the probability that a person is audited once is mathematically
[tex]P(X = 1) = ^{9}C_1 * (0.02)^1 * (1- 0.02 )^{9-1}[/tex]
[tex]P(X = 1) = 9* (0.02)^1 * (0.98 )^{8}[/tex]
[tex]P(X = 1) = 0.1531[/tex]
Generally the probability that a person is audited twice is mathematically represented
[tex]P(X = 2) = ^{9}C_2 * (0.02)^2 * (1- 0.02 )^{9-2}[/tex]
[tex]P(X = 2) = 36 * (0.02)^2 * (0.98 )^{7}[/tex]
[tex]P(X = 2) = 0.0125 [/tex]
Generally the probability that a person is audited more than twice is mathematically represented
[tex]P(X > 2) = 1 - [P(X = 0 ) + P(X = 1 )+ P(X =2)] [/tex]
=> [tex]P(X > 2) = 1 - [0.8337 + 0.1531+0.0125 ] [/tex]
=> [tex]P(X > 2) = 0.0007 [/tex]
help! for 22 points
Answer:for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
Step-by-step explanation:
for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
The graph of a line passes through the two points (-2,1) and (2,1). What is the equation of the line written in general form ?
A. y-1=0
B. x-y+=0
C. x+y -1=0
Answer:
A
Step-by-step explanation:
When you plot the points (-2,1) and (2,1) on a graph, you get a horizontal lines that crosses through y=1 which can be rearranged to be written as y-1=0
you have three 1 dollar bills and 2 10 dollar bills in your wallet. you select a bill at random
Answer:
you are more likely to get a 10 dollar bill
Step-by-step explanation:
slove the equation
7h-5(3h-8)=-72
Answer:
Step-by-step explanation:
You can break it down into steps if you'd like.
-5 ( 3h - 8) = -15h + 40
So,
7h - 5 ( 3h -8 ) = -72
7h - 15h + 40 = -72
Now you can combine the like terms
-8h + 40 = -72
Add 8h to both sides
40 = -72 + 8h
Add 72 to both sides
40 + 72 = 8h
112 = 8h
Divide both sides by 8 to find h.
h = 112/8 = 14
Can someone please help me?
Answer:
232.05
Step-by-step explanation:
find out how much it started out with
so divide 46dollars and 50 cents by 3
then you'll have 15dollars and 5 cents
now you know thats how much earned at first you multiply by 15 and you get the answer above
good luck
2(4x − 3) = 5x − 3(x − 4)
Answer: x=3
Step-by-step explanation:
hellllllllllllllllllp
Answer:
Step-by-step explanation:
Its b
Answer:
D
Step-by-step explanation: common sence because when it 5 and the little 2
would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point
Graph y = - 3x + 7 .
Answer:
put your first point at 7 in y axis that point go down 3 to the rights side 1 and your point should be at (1,4) then connect the dots and that's how you graph it
Step-by-step explanation:
The equation of the line y = - 3x + 7 is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equation of the line is given below.
y = -3x + 7
Convert the line into intercepts form, then we have
y = - 3x + 7
3x + y = 7
x / (7/3) + y / 7 = 1
The equation of the line is drawn below.
More about the linear equation link is given below.
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Anybody Know This. ?
Find 6/11/-3. Write in simplest form
Answer:
Bit confusing but I'll try my best.
Step-by-step explanation:
6/11 diving by -3.
-2/11.
Michael saw a pair of jeans that he really wants to buy. The price of the jeans is $25.60. He saw that they go on sale for weekend and will be 15% off. How much will he save?
Answer:
$21.76
Step-by-step explanation:
15% of $25.60= $3.84
$25.60-$3.84= $21.76
1. Which inequality represents the following statement? Two times the quantity x plus 4 is greater than 10.
a.2x + 4 > 10
b.2(x + 4) > 10
c.x+4 > 10
d.2(x + 4) = 10
Think about the proportion and the cross products for this problem:
Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
Answer:
The ratios are equivalent
The ratios are a proportion
Help ? anybody ion know any of these I’m sorry please give me the correct answer .
The marching band walks mile in 2.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your answer below.
Answer:
2.5 minutes
Step-by-step explanation:
The answer is given in the word problem.
NEED HELP FAST I WILL MARK BRAINLYEST
Answer:
13/48
Step-by-step explanation:
13/6 / 8 = 13/6 x 1/8
13 x 1 = 13
6 x 8 = 48
13/48
Answer:
13/48
Step-by-step explanation
find the length of x
What did Physics say to History when they are arguing?
Answer:
Hey!
Here's your answer!!
➡️Don't change the subject⬅️
Why do they even exist!?
Gotta study those experiments which we never perform and those people who are long gone xD
3. Evaluate the expression 18
7+2 - 4
a. 2
b. 1.4
c. 6
d. 18
The graph shows the balance of an account that is earning interest over time. In which year was the account balance about $150?
Answer:
Year 7
Step-by-step explanation:
Hopefully this is helpful.
Answer:
ik im late and the other person was right but theres proof for the newcomers :)
Step-by-step explanation:
Ken and Vincent each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Ken has 10 signatures, and Vincent has 30. Ken is collecting signatures at an average rate of
3 per day, whereas Vincent is averaging 2 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take?
00
Write a system of equations, graph them, and type the solution.
Sn
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: