Answer:
x=40
Step-by-step explanation:
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
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Noelle used 17 lemons to make lemonade. This was 85% of all the lemons
she bought. How many lemons did Noelle buy? *
Helpppppp please I have 30 more minutes
Answer:
20 lemons
Step-by-step explanation:
Let the number of lemons = 'x'
85% of x = 17
\(\frac{85}{100}*x = 17\\\\x = \frac{17*100}{85}\\x = 20\)
Answer:
20 lemons
Step-by-step explanation:
Let the number of lemons = 'x'
85% of x = 17
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Must Find the Error in this problem
Answer:
They subtracted when they should have added
Step-by-step explanation:
You must do the opposite so if it says -17 you must add 17 to the other side the answer should be 32
find the bearing of a from b
find the bearing of b from a
Answer:
130° and 310°
Step-by-step explanation:
the bearing of A from B is the measure of the clockwise angle from a north line at B to A
the angle at B and A are same- side interior angles and sum to 180°
angle at B = 180° - 50° = 130°
the bearing of A from B is then 130°
the bearing of B from A is the measure of the clockwise angle from the north line at A to B
the complete angle about A = 360° then clockwise angle from north line at A to B is
360° - 50° = 310°
the bearing of B from A is 310°
There are 20 pieces of fruit in a basket and 12 of them are oranges. What percentage of the pieces of fruit in the basket are oranges? Show your work in the box and circle your answer
Answer:60 percent
Step-by-step explanation: You have fraction the two numbers which will be 12/20 them you times it by 100 which equals 60 oranges.
Write a number that has a digit that is 10 times the 2 in 7.32_.
Answer: 7.2
The 2 in the number 7.32 is in the tenths place.
We must move it to the hundredths place, 1 step forward.
You get a number of 7.2. The answer can be 7.2.
Hope this helps!
Each box contains 40candy bars
Each box cost $30
How much does the school have to charge for,each candy bar to make a profit $10 per box
Answer:
1.33 (round it up to the nearest dollar which is 1)
Step-by-step explanation:
profit = price charged - cost of goods
$10 = ? - $30
$ 30 = for one box
40 bars = one box
40 / 30 = 1.33 (round it up to the nearest dollar)
you can check this out by:
1 x 40 bars = 40
40 - 30 (the price of each box) = 10
6. Determine the system of equations based on the following relationships and then solve
for the two integers.
a. Fourteen more than twice the first integer gives the second integer
b. The second integer increased by one is the square of the first integer
Answer: (-3,8) and (5,24)
The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.
According to the given information:
a. Fourteen more than twice the first integer gives the second integer:
This can be expressed as: 2x + 14 = y
b. The second integer increased by one is the square of the first integer:
This can be expressed as: y + 1 = x^2
Now, we have a system of equations:
1) 2x + 14 = y
2) y + 1 = x^2
To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):
2x + 14 + 1 = x^2
2x + 15 = x^2
Rearranging the equation, we have:
\(x^2 - 2x - 15 = 0\)
Factoring the quadratic equation, we get:
(x - 5)(x + 3) = 0
Setting each factor equal to zero:
x - 5 = 0 --> x = 5
x + 3 = 0 --> x = -3
Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':
For x = 5:
2(5) + 14 = y
10 + 14 = y
y = 24
For x = -3:
2(-3) + 14 = y
-6 + 14 = y
y = 8
Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
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1+1=???????????????????
Answer:
I.d.k I think 1 :)
Step-by-step explanation:
have a great day
The ratio of the sides of rectangle LMNP to the sides of rectangle TUVW is 1:4. The length of LM is 3.6 in, and the length of UV is 16 in.
What is the difference between the areas of the two rectangles?
A. 226 in2
B. 172.8 in2
C. 211 in2
D. 216 in2
Which answer choice correctly represents the quotient of 4,232: 21?
A) 21 11/21
B) 200 2/21
OC) 201 1/21
D) 201 11/21
Answer:
B
Step-by-step explanation:
which one of the following piecwise graphs is not a function
Answer:
Perhaps this could be answered, if the graphs were included.
Step-by-step explanation:
2. Kate is a professional musician. She wants to make an essential purchase of an upgraded used bass guitar
for her work. She found the following prices for the same make and model bass guitar from various sellers:
| $699.$599, $699.$680, $590, $720, $650, $800
What is the mean price? Round your answer to the nearest cent.
What is the median price?
What is the mode price?
Answer:
a. What is the mean price? Round your answer to the nearest cent. $679.63
b. What is the median price? $689.50
c. What is the mode price? $699
Step-by-step explanation:
The mean price, rounded to the nearest cent is $679.63, the median price is $689.5 and the mode price is $699.
What is Mean, Median and Mode?The mean is the ratio of the sum of all numbers and total numbers in the list. The median is the middle value in a list ordered in ascending order. The mode is the most frequently occurring value on the list.
In our question, given data:
$699, $599, $699, $680, $590, $720, $650, $800
Mean is found by dividing by sum all the prices and then divided by total terms.
Sum all prices = ($699 + $599 + $699 + $680 + $590 + $720 + $650 + $800) = $5437
Mean = \(\frac{5437}{8}\) = $679.625
The round of mean value to the nearest cent is $679.63.
To find median, arrange the data list in ascending order and then find the middle value. Since in our data list, there are 8 terms (even). Therefore take average of the two middle values to find median.
Ascending order ⇒ 590, 599, 650, 680, 699, 699, 720, 800
Midian = \(\frac{680 + 699}{2}\) = $689.5
Mode is the most frequently occurring value in the data list, in our data list, 699 comes twice.
∴ Mode = $699
Hence Mean = $679.63, Midian = $689.5, Mode = $699.
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(14. Look at this number pattern. 72 - 49 672 = 4489 6672 = 444889 66672 = 44448889 This pattern continues. a) Write down the next line of the pattern. b) Use the pattern to work out 66666672.
9514 1404 393
Answer:
next line: 66667^2 = 44444888896666667^2 = 44444448888889Step-by-step explanation:
(a)It appears term n is the square of the digit 7 prepended with (n-1) sixes. That square is n instances of the digit 4, followed by (n-1) instances of the digit 8, followed by the digit 9.
Then the 5th line of the pattern will be ...
66667^2 = 4444488889
__
(b)The 7th line of the pattern will be ...
6666667^2 = 44444448888889
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Answer:
×=14
Step-by-step explanation:
(3x+7)+90+(4×-15)=180
7×+82=180
7×=98
x=14
Answer:
×=14
Step-by-step explanation:
(3x+7)+90+(4×-15)=180
7×+82=180
7×=98
x=14
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
Nisha and Tim are reading the same book, Nisha has finished 9/10 of the book. Tim has finished 8/9 of the book. Who has read more?
Answer:
Tim has read more he has read 9 of the books and she has only read 8
Answer: Nisha
Step-by-step explanation: because if you divided 8 and 9 it will be bigger than 9 and 10
What is the solution to this inequality? 1/3x − 7>−4
Add 7 to both sides.
1/3x > −4 + 7Add −4 and 7 to get 3.
1/3x > 3Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.
x > 3 × 3Multiply 3 and 3 to get 9.
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The quotient of a number and three
Answer:
x/3
Step-by-step explanation:
Let the number be x.
Quotient simply means to divide a number by another number without any remainder.
For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; 10/5 = 2.
Therefore, translating the word problem into an algebraic expression we have;
Quotient = x/3
A study found that 50 pedestrians gave more money to a street beggar if the beggar had a cute and hungry-looking dog with them compared to if they were alone. The gender of the pedestrians was also noted. Which of the following sentences describes a simple effects analysis on these data? A The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians B The difference in donations when the beggar had a dog compared to not C Using a graph to do a simple inspection of the mean donations from male and female pedestrians when the beggar had a dog or was alone D The relative difference between male donations and female donations when the beggar had a dog compared to not
The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.
There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.
Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.
A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."
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Let x be Bob's age. Heather is 5 years younger than Bob. Write an expression for Heather's age.
Answer:
x-5
Step-by-step explanation:
since we don't know bob's age, x will represent it. we know that heather is 5 years YOUNGER than bob.
x (bob's age) - 5 (because that's how many years heather is younger than bob is)
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Which of the following lists of ordered pairs is a function?
(-1, 2), (2, 3), (3, 1), (2, 5)
(1, 2), (4, 0), (3, 5), (4, 3)
(2, 5), (3, 6), (6, 9)
(2, 5), (3, 6), (2, 1)
Answer:
\((2,5), (3,6), (6,9)\)
Step-by-step explanation:
Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)
Answer:c
Step-by-step explanation:
which of the following is not a characteristic of both surveys and observational studies?
a. the researcher direct control over at least one variable
b. data are collected about population
c. the researcher does not control or change the population
d. results are not used to prove cause and effect
The characteristic of the researcher having direct control over at least one variable to both surveys and Observational .
The option that is not a characteristic of both surveys and observational studies is:
a. The researcher has direct control over at least one variable.
Surveys and observational studies have several characteristics in common, such as collecting data about a population and not proving cause and effect. However, the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies.
In a survey, the researcher collects data by asking questions to individuals or groups. They do not have direct control over the variables being studied but rather collect information based on participants' responses. The researcher's role is primarily in designing the survey, selecting the sample, and analyzing the data.
In an observational study, the researcher observes and records data without intervening or manipulating any variables. The researcher does not have control over the variables being observed; instead, they observe and document the existing conditions or behaviors.
the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies. Both methods involve data collection about a population and do not establish cause and effect relationships, but control over variables is not a shared characteristic.
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Systems of equations with graphing
what is 12,550 + 86,118
Answer:
98668
Step-by-step explanation:
12550+86118=98668
Answer:
98668
Step-by-step explanation:
The owners of a baseball team are building a new baseball field for their team and must determine the number of seats to include. The average game is attended by 6,500 fans, with a standard deviation of 450 people. Suppose a random sample of 35 games is selected to help the owners decide the number of seats to include. Identify each of the following and be sure to round to the nearest whole number:
Provide your answer below:
μ =------------
μx=-----------
σx=-----------
σ=------------
n=------------
Answer:
μ = 6500
μx= 6500
σx= 76
σ= 450
n= 35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The average game is attended by 6,500 fans, with a standard deviation of 450 people.
This means that \(\mu = 6500, \sigma = 450\)
35 games:
This means that \(n = 35\)
Distribution of the sample mean:
By the Central Limit Theorem, we have \(\mu_x = \mu = 6500\) and the standard deviation is:
\(\sigma_x = \frac{450}{\sqrt{35}} = 76\)
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Multiplication sentences that is equal to 2/7÷14/3
A farmer planted 3,060 tomato plants in his garden. Due to a severe drought, the number of tomato plants is decreasing according to the following function.
Which expression represents the number of months, x, it will take for the number of tomato plants in his crop to reach 51?
A.
B.
C.
D.
The number of months to reach 51 can be illustrated as 3060 - 100x = 51.
What is an expression?The expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both.
The farmer planted 3,060 tomato plants in his garden.
Let's assume there's a decrease of 100 monthly.
The number of months, x, it will take for the number of tomato plants in his crop to reach 51 = c
This will be:
3060 - 100x = 51.
This illustrates the equation for the number of months.
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