Answer:
30°
Step-by-step explanation:
[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]
5. Ethan runs 5 miles in 1/2 of the hour. How many miles will he run in 1 hour? *
(10 points)
A. 20 miles per hour
B. 4 miles per hour
C. 10 miles per hour
D. 8 miles per hour
HELP PLEASE
Answer:
C
Step-by-step explanation:
Because you times 5 by 2 to get 10 as the answer.
The formula for percentage increase I (given as a decimal) of an investment is I=S−P/P, where P is the purchase price and S is the sale price. You sell a stock at a price of $75, earning a percentage increase of 25%. What was the purchase price of the stock? Also solve the formula for P pls show steps
We are given the formula in the questions, so all we need to do is solve.
0.25 = 75-p/p
0.25 = 75 - p
0.25p + p = 75
1.25p = 75
1.25p/1.25 = 75/1.25
p = 60
Therefore, the purchase price was $60.
Best of Luck!
when the whole p is divided by 18 ,24or30 the remainder is 3. Find the least value of p
Answer:
p=363
Step-by-step explanation:
First we take L.C.M(18,24,30)
=>L.C.M=360
=>now add 3 to 360=360+3=363
=>p=363
The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
Answer:
The best measure of center is median = 37.50.
Step-by-step explanation:
The complete question is:
The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.
{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
The best measure of center for this data set is the , and its value expressed up to one decimal place is?
Solution:
The three measures of center are:
MeanMedianModeThe mean is the average value of the data set and uses all the values of the data set.
The median is the middle value of the data set.
Mode is the value of the data st with the highest frequency or number of occurrence.
Compute the mean, median and mode of the data set provided as follows:
[tex]\text{Mean}=\frac{1}{n}\sum X=\frac{1}{14}\times [36+18+....+72+29]=40.57[/tex]
So, the mean is 40.57.
The data set in ascending order is:
{16 , 18 , 28 , 29 , 35 , 36 , 37 , 38 , 40 , 41 , 44 , 66 , 68 , 72}
There are 14 values in the data set. That is an even data set.
The median for an even data set is the average of the middle two values.
The middle two values are: 37 , 38
Average of {37 , 38} = [tex]\frac{37+38}{2}=37.50[/tex]
So, the median is 37.50.
None of the values are repeating itself. Thus, the data does not have a mode.
For the provided data:
Mean > Median
Implying that the data set is right-skewed.
For a skewed distribution or data set the median is the measure of center.
Thus, the best measure of center is median = 37.50.
-9(x - 3)
(Distributive property)
Answer:
-9x+27
Step-by-step explanation:
What is the value of the expression (9x3)+7
Answer:
34
Step-by-step explanation:
(9x3)+7
PEMDAS says parentheses first
27+7
34
What is the image of (9,0) after a dilation by a scale factor of 2 centered at the origin?
Answer:
(-18,0)
Step-by-step explanation:
Dilation involves changing the size of a point.
The image of (9,0) after a dilation by a scale factor of 2 centered at the origin is (18,0)
The point (P) is given as:
[tex]P = (9,0)[/tex]
The scale factor (k) is given as:
[tex]k = 2[/tex]
The image after a dilation centered at the origin is the product of the coordinates of the point and the scale factor.
So, we have:
[tex]P' = P \times k[/tex]
This gives
[tex]P' = (9,0) \times 2[/tex]
Expand
[tex]P' = (9\times 2,0\times 2)[/tex]
Evaluate the products
[tex]P' = (18,0)[/tex]
Hence, the image of (9,0) is (18,0)
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simplify 3x-7y-(-2X)-y
Answer:
5x+6y
Step-by-step explanation:
just add like terms
Help...The sum of three consecutive integers is -33. Find the middle integer.
Ruben made 3.4 gallons of peach ice cream in his new ice cream maker. If there are 22.5 servings in a gallon, how many servings of ice cream did Ruben make? Ruben made servings of ice cream.
Answer:
Reuben made 76.5 servings of Peach ice cream
Step-by-step explanation:
Total gallons of peach ice cream made = 3.4 gallons
Number of servings per gallon = 22.5
This means that:
1 gallon = 22.5 servings
∴ 3.4 gallons = 22.5 × 3.4 = 76.5 servings
Therefore, Reuben made 76.5 servings of Peach ice cream
solve when x=3
36x-6+7x•2x
Answer:
228
Step-by-step explanation:
We just have to plug in x. So:
36(3)-6+7(3)*2(3)
Simplify:
108-6+21*6
108-6+126
102+126
228
Answer:
228
Step-by-step explanation:
Insert the given value of x into the expression:
[tex]36(3)-6+7(3)*2(3)[/tex]
Simplify the multiplication:
[tex]108-6+21*6[/tex]
Follow the order of operations using PEMDAS:
[tex]108-6+126\\\\102+126\\\\228[/tex]
:Done
Parentheses ()
Exponents [tex]a^x[/tex]
Multiplication and Division left to right × ÷
Addition and Subtraction left to right + -
What is the answer to 7-3(x+6)=7-4x
I think that the answer to your question is: x = 9
two numbers are in the ratio 5:3.if they deffer by 18,what are the numbers?
Answer:
let common ratio between them be x
So, 5x,3x
5x-3x=18
2x=18
2x/2=18/2
x=9
Step-by-step explanation:
I hope it helps you☺️
If yes, do mark my answer as brainliest
Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100
b. Employee B: total job benefits $68,400 and total job expenses $300
c. Employee C: total job benefits $68,700 and total job expenses $800
d. Employee D: total job benefits $69,000 and total job expenses $1,000
Please select the best answer from the choices provided
A
B
C
D (not D)
Answer:
its b
Step-by-step explanation:
got a 100 on quiz
The best or greatest total employee compensation will be Employee B: total job benefits $68,400 and total job expenses $300 so option (B) will be correct.
What are subtraction and summation?Subtraction is the minus of any two numbers generally it gives a lower value than the digits which are going to be in the substrate.
A summation, which is the result of adding two or more numbers or quantities, is also known as a sum. A summation always has an integer number of terms. There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.
Given that
In option (B) job benifits $68,400 and job expenses $300 hence the remaining amount = $68,400 - $300 = $68100 which is greatest among all option
In option (A) the job beneifits $68,100 and job expenses $100 hence the remaining amount = $68,100 - $100 = $68000 which is less than A and in all option it is less
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The altitude of an airplane is represented in the graph below. A graph with time (minutes) on the x-axis and altitude (feet) on the y-axis. Points are at (0, 0), (20, 12,000), (40, 24,000), (60, 36,000), (80, 36,000), (100, 36,000), (120, 36,000), (130, 36,000), (140, 24,000), (160, 12,000), and (180, 0). Is the airplane’s altitude a function of time? Yes, because any input of time results in only one output of altitude. Yes, because the airplane increases and decreases in altitude at the same rate. No, because each output of altitude has more than one input of time. No, because the altitude is constant between 60 minutes and 130 minutes.
Answer:
A
Step-by-step explanation:
Answer:
A.) yes
Step-by-step explanation:
Tracey paid $155 for an item that was originally priced at $520. What percent of the original price did Tracey pay? Around to the nearest tenth of a percent
Tracey paid approximately 29.8% of the original price for the item.
To find the percentage of the original price that Tracey paid, we can use the formula:
Percentage = (Amount Paid / Original Price) * 100
Let's plug in the given values:
Percentage = (155 / 520) * 100
Percentage = 0.2980769230769231 * 100
Percentage ≈ 29.8%
So, Tracey paid approximately 29.8% of the original price for the item.
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Solve 5 vx - 6 = -20
O x= -10
O x = 10
O x = 22
No solution
Answer:
It is a hyperbole.
Step-by-step explanation:
5 v x - 6 = -20
v x = -14/5
v≠0 , x = -14/(5 v)
v = -14/(5 x)
The sum of twice a number and 7 is -19
Answer:
The number will be -13
Step-by-step explanation:
Let the no. be x
Its twice will be = 2x
According to the question ,
[tex]2x + 7 = -19\\=> 2x = -19 - 7 = -26\\=> x = \frac{- 26}{2} = - 13[/tex]
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the number is -13.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The sum of twice a number and 7 is -19.
Let the number be M.
Now,
2M + 7 = -19
We will solve for M.
2M + 7 = -19
Subtract 7 on both sides.
2M + 7 - 7 = - 19 - 7
2M = -19 - 7
2M = -26
Divide both sides by 2.
M = -26/2
M = -13
We can cross-check.
2M + 7 = -19
2 (-13) + 7 = -19
-26 + 7 = -19
-19 = -19
Proved
Thus.,
The value of the number is -13.
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Henry is saving money for college. He earns $210 each week working part time after school and the weekends. Henry currently has $2,240 in savings. His parents put $100 in his savings account each week and he saves one-third of his paycheck each week. Which expression represents the situation? (n represents the number of weeks) A) 2,240 + 170n B) 2,240 + 310n C) 2,240 + 210n + 100n/ 3 D) 2,240 + 210n + 100n/ 3
Answer:
2,240 + 210n + 100n/ 3 (C).
Step-by-step explanation:
What he has in his account ($2,240) is added to what he makes each week ($210) multiplied by number of weeks (n), then added to the money his parents give him every week ($100) multiplied by the number of weeks (n) divided by one-third (⅓) of the money he saves from it.
What is the factored form of x2+16x+15
Answer:
(x+1)(x+15)
Step-by-step explanation:
[tex]x^2+16x+15\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(15x+15\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\\\\mathrm{Factor\:out\:}15\mathrm{\:from\:}15x+15\mathrm{:\\\quad }15\left(x+1\right)\\=x\left(x+1\right)+15\left(x+1\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x+15\right)[/tex]
Please help me with this
Dinner costs $30 and you
want to leave a 14% tip.
How much money should
you leave as a tip?
Answer:How much tip do you leave for $30?
Tip on $30
Subtotal 30.00
15% Tip 4.50
Total 34.50
Step-by-step explanation:
3. the product of 33 and j
write an algebraic expression
Answer:
"the product" is multiplication.
x
"33 and j"
33 x j
33jr 33
Mulipaction :)
Which of the following best represents the average rate at which a person can quickly walk? (2 points)
Oa
3 steps per hour
3 steps per second
.
30 steps per minute
30 steps per second
The sum of one-half and two-thirds, divided by five.
Answer:
7/35
Step-by-step explanation:
Answer:
0.23333333333333
Step-by-step explanation:
|x + 5| – |2w| When x = 2 and w = –4
Answer:
-1
Step-by-step explanation:
lx+5l -- l2wl
l2+5l -- l2x-4l
7 -- l2x-4l
7 -- 8
-1
by which when 625 is divided , will make the quotient a perfect cube
Answer:
[tex]\boxed{\bold{\huge{\boxed{5}}}}[/tex]
Step-by-step explanation:
625 when divided by 5 gives 125 which is a perfect cube.
=> [tex]\sf \frac{625 }{5 } = 125[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\sf \ \sqrt[3]{125} = 5[/tex]
So, 5 needs to be divided by 625 to make the quotient a perfect cube!
26-4s=9s solve the equation
Answer:
26=9s+4s
13s=26
s=26/13
s=2
Step-by-step explanation:
hope it is helpful for you if it is follow me
Answer:
s=2
Step-by-step explanation:
We are given the equation:
[tex]26-4s=9s[/tex]
and asked to solve. We want to find out what the unknown variable, s, is. Therefore, we must isolate s on one side of the equation.
First, let's get all the terms with s on one side of the equation. 4s is being subtracted from 26. The inverse of subtraction is addition. Add 4s to both sides of the equation.
[tex]26-4s+4s=9s+4s[/tex]
[tex]26=9s+4s[/tex]
[tex]26=13s[/tex]
s is being multiplied by 13. The inverse of multiplication is division. Divide both sides of the equation by 13.
[tex]26/13=13s/13[/tex]
[tex]26/13=s[/tex]
[tex]2=s[/tex]
[tex]s=2[/tex]
Let's check our solution. Plug 2 in for s and solve.
26-4s=9s
26-4(2)=9(2)
26-8=18
18=18
This checks out, so we know our solution is correct.
The solution to the equation 26-4s=9s is s=2.
big water canoeing company rents conoes for 75$ per hour. explain why the point (0,0) and (1, 75) are on the graph of the relationship and ahag these points mean in the context of the problem
Which statement describes how the graph of a function h(x) and its inverse h^-1(x) are related
Answer:
B
Step-by-step explanation:
did test got it right
Answer:
pretty sure its B
Step-by-step explanation: