Answer:
7.5 minutes
4/3 km
Step-by-step explanation:
Use a proportion.
2 km is to 3 min as 5 km is to x min
2/3 = 5/x
2x = 3 × 5
2x = 15
x = 7.5
Answer: 7.5 minutes
2 km is to 3 min as x km is to 2 min
2/3 = x/2
3x = 2 × 2
3x = 4
x = 4/3
Answer: 4/3 km
Graph the equation y = 3x - 6
Select two points to graph the line.
Answer:
y intercept is -6 put your first point on that y intercept
Step-by-step explanation:
from -6 rise 3 and run 1 (to the right )
whats that point ? (0,2)
from that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6
(0,2) (4,6) Two points
y2 -y1 = 6
x2-x1 =2
6/2 simplified is 3/1
Make sense?
what answer? here, can you answer that? thankyou
It should be noted that the number of sample size based on the information will be 300.
How to explain the sampleIn order to calculate the sample size, we can use the following formula:
n = z² * p * (1-p) / E²
n = 1.96² * 0.5 * (1-0.5) / 0.05²
= 300
A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.
In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".
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given sine of theta equals 8 over 17 and cosine of theta equals 15 over 17 comma which of the following can be proven using a pythagorean identity? 1 plus the quantity 8 over 17 end quantity squared equals the quantity 15 over 17 end quantity squared 1 plus the quantity 15 over 17 end quantity squared equals the quantity 8 over 17 end quantity squared the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
What is a Pythagorean identity?
The Pythagorean identity for sine and cosine states that for any angle θ,
sin²θ + cos²θ = 1
We can use the given values of sine and cosine to find the missing trigonometric function:
tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15
Now, we can use the Pythagorean identity to determine which of the given statements is true:
1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²
1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²
(8/17)² + (15/17)² = 64/289 + 225/289 = 1
Therefore, the statement that can be proven using the Pythagorean identity is:
(8/17)² + (15/17)² = 1
Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
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(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
which number is equal to 4 half
Answer:
2
Step-by-step explanation:
4 halves=2
1 half=0.5
2 halves=1
3 halves=1.5
4 halves=2
5. What number is expressed in each of the models below? One flat represents 1 whole. One
rod represents 1 tenth, and one unit represents 1 hundredth. Write the number on the line.
Answer:
137 is the number expressed in each of the models.
help me plsssssssssssssssssssssssssss
Answer:
This answer would be c
Step-by-step explanation:
3. Subtract
x)--5x2 + x-2
g(x) = -3x2 + 3x + 9 9
Step-by-step explanation:
For example: Subtract 4x - 10y + 15z from 5x + 8y - 20z.
Step 1: Arrange the polynomials in standard form. In this example, it is already arranged.
Step 2: Place them horizontally.
(4x - 10y + 15z) - (5x + 8y - 20z)
Step 3: Change the sign of the second polynomial through the parentheses.
4x - 10y + 15z - 5x - 8y + 20z
Step 4: Arrange the like terms together.
4x - 5x - 10y - 8y + 15z + 20z
Step 5: Solve the equation
-x - 18y + 35z
Therefore, when we subtract 4x - 10y + 15z from 5x + 8y - 20z = -x - 18y + 35z.
a taxi driver charges $2.25 per mile. the driver also charges a one time $12 fee. write and solve an equation to determine how many miles are driven , for the driver to charge $30 total
Answer:
if x is the number of miles driven, the equation is 2.25x + 12=30. solved: x = 8 miles
Step-by-step explanation:
First, you make the equation. If x is the number of miles, the price per mile would be 2.25 times x or 2.25x. You also have to add the one time fee of $12, so you have 2.25x + 12. Next, you're trying to find x if it costs $30 total so you would have 2.25x + 12 = 30.
Solving,
2.25x + 12 = 30
subtract 12 from both sides
2.25x = 18
divide both sides by 2.25
x = 8 miles
What is a 15% decrease from 30? ROUND TO THE NEAREST
WHOLE NUMBER.
Answer:
5
Step-by-step explanation:
Answer:
5 is the answer you're looking for
Step-by-step explanation:
15% of 30 is 4.5
You said round to the nearest whole number and that would make 4.5 change to 5.
Hope this helps, have a great day.
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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jackie and phil have two fair coins and a third coin that comes up heads with probability 4/7 . jackie flips the three coins, and then phil flips the three coins. let m/n be the probability that jackie gets the same number of heads as phil, where m and n are relatively prime positive integers. find m +n
Here m/n be the probability of 123/392, where m is 123 and n is 392, so the m+n is 515
Here considering xⁿ to be the flipping heads of n numbers , so the generating functions for these coins are (1+x)(1+x)(3+4x) order, so the product those orders we get ,
(1+x)*(1+x)*(3+4x)= 4x^3+11^2+10x+3 ,here axⁿ means the n number of ways to get n number of head .Now the square of the sum of the coefficient is (4+11+10+3)²= 28^2 =784, and the sum of the square of each coefficient is(4²+11²+10²+3²)= 246.The probability will be: 246/784=123/392 =123+392 = 515
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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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Please help thank you ahead of time
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
Consider the function \(y=\sqrt{5x-5}+1\)
Which inequality is used to find the domain?
The inequality is used to find the domain of the given function is
5x-5 ≥ 0
What is a function?A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.
Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.
Since, the function is a square root function.
We know that,
The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.
The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
5x-5 ≥ 0
Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0
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What do the following two equations represent?
• x + 3y = 5
• 4x + 12y = 20
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
Answer:
they represent the same line
Step-by-step explanation:
i went to desmos graphing calculator and put x+3y=5 in the first spot then i put 4x+12y=20 below that and it showed me what the lines looked like
Both the equation represent the same line
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x + 3y = 5
4x + 12y = 20
Now , the equation 4x + 12y = 20 can be simplified as
4x + 12y = 20
Divide by 4 on both sides ,
x + 3y = 5
Therefore , x + 3y = 5 is the same equation
Hence , both the equation represent the same line
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
Are x and y the same thing? Explain.
Answer:
Actually their difference depends on some factors : Both x and y have to express same nature of phenomenon. The value of x and y. Unit of the values ( say x is a variable represents distance in kilometer, and y represents distance in meter , then mere |x-y| will not work until both the distances are in the same unit) .
Step-by-step explanation:
5. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a horizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Answer:
C: \(y = 6 \sin (8(x-\frac{\pi}{2} ))\)
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
What is Sine Function?The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
Here, Amplitude = 6, P=π/4, and S=π/2
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A · sin(2π/P(x -S))
f(x) = 6·sin(8(x -π/2))
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
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A bird house company earns a weekly profit according to the function f(x)=−0.40x2+80x−200 where x is the number of bird feeders built and sold.
a) Find the number of bird feeders that the company must sell in a week to obtain the maximum profit.
b) Find the maximum profit.
a) The number of bird feeders that the company must sell in a week to obtain the maximum profit = 100
b) Maximum profit = 3800
Maximum profit
Maximum profit is the level of output where MC equals MR. As long as the revenue of producing another unit of output (MR) is greater than the cost of producing that unit of output (MC), the firm will increase its profit by using more variable input to produce more output.Given that ,
f(x)=−0.40\(x^{2}\)+80x−200
f'(x) = -0.40 x \(2x\) + 80
= - 0.80\(x + 80\)
f''(x) = - 0.80
a) For Maximum and minimum profit
f'(x) = 0
- 0.80\(x\) + 80 = 0
0.80 \(x\) = 80
\(x\) = 80 / 0.80
= 80 /80 x 100
\(x\) = 100
for x = 100 , f''(x) = -0.80
f''(x) < 0
Therefore, for x = 100 profit is maximum
Number of bird feeders = 100
b)Maximum profit
f(x) = -0.40 \(x^{2}\) + 80 \(x\) - 200
= -0.40 x 100 x 100 + 8000 - 200
= - 4000 + 8000 - 200
= 4000 - 200
= 3800
Therefore maximum profit = 3800
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1 Write the recursive formula for the following. Do not include spaces in your answer. 13, 15, 17, 19...
Answer:
add 2 or find following odd number
Step-by-step explanation:
+2 moves 13 to 15, 15 to 17, 17 to 19, ...
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
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the line that passes through (−2,3) and (0,8)
Answer:
y=5/2x+8
Step-by-step explanation:
slope: (y2-y1)/(x2-x1); (8-3)/(0-(-2))= 5/2
y-intercept is 8
Find the area A and circumference C of a circle of diameter 12 cm. Use 3.14 for . Round the result to the nearest tenth.
Answer:
Area: 113cm²
Circumference: 37.7cm
Step-by-step explanation:
to find area use the formula πr², π being Pi (3.14) and r being radius
radius = 6cm (half the diameter)
3.14 × 6² = 113.04cm²
to find the circumference use the formula πd
diameter = 12cm
3.14 × 12 = 37.68
Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4 i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0
Answer:
first you add then you subtract
Step-by-step explanation:
Answer:
The answer is (B) - (7+4 i) + (7 minus 4 i) = 14
Step-by-step explanation: