Answer:
Step-by-step explanation:
This right triangle is on a grid.
The area is the height * base/2
The base is on a line segment parallel to the x axis which is 6 squares.
The height is on a line segment parallel to the y axis which is 2 squares
The area is the height * base /2
Area = 6 * 2 /2 = 12/2 = 6 square units.
2. Calculate the length of the altitude h in ABC, given that m
Answer:
To find h the altitude we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
h is the opposite
sin 29 = h / 23
h = 23 sin 29
h = 11.1506
h = 11.00mm to the nearest hundredth
Hope this helps you
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.
Answer:
He should measure the length of the bowling alley using meters
Step-by-step explanation:
The score does Tyrone need in the fifth game so that his mean score is 125 is 168.
What is an arithmetic mean?
It is defined as the sum of all observations divided by the number of observations.
Given
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
\(\frac{120+123+105+109+x}{4+1} =125\)
⇒ \(\frac{457+x}{4+1} =125\)
⇒ \(\frac{457+x}{5} =125\)
⇒ \({457+x} =125\) × \(5\)
⇒ \({457+x} =625\)
⇒ \(x =625-457\)
⇒ \(x =168\)
Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.
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(a.) c = 11t + 51
(b.) c = 51t
(c.) c = 11t
(d.) c = 51t + 11
Answer:
it's A
Step-by-step explanation:
You have to use the linear regression program on your calculator to solve this as actually finding out the linear equation by hand would take a lot ton of time. To use the linear regression program (This is for TI-84 calculators) Hit stat. Then enter. Then the first column will be for X values and the second will be for Y values. To clear it you have to hover over the L1 or two and hit clear and then down. After you put in all the values hit stat again. Go to the calc section. Enter linear regression. Keep hitting enter until it tells you the value of the variables. A is what you could consider the slope. and then the b is what you could call the Y intercept. Hope this helps
Suppose that a certain college class contains 36 students. Of these, 16 are freshmen, 21 are chemistry majors, and 6 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a freshman and a chemistry major? (b) Given that the student selected is a freshman, what is the probability that she is also a chemistry major?
The probability that a randomly selected student is both a freshman and a chemistry major is approximately 0.8333. Given that the selected student is a freshman, the probability that she is also a chemistry major is approximately 0.3125.
In order to calculate the probability that a student is both a freshman and a chemistry major, we need to determine the number of students who fall into this category. According to the given information, there are 16 freshmen and 21 chemistry majors in the class.
However, we also know that 6 students are neither freshmen nor chemistry majors. Therefore, to find the number of students who are both freshmen and chemistry majors, we subtract the number of students who are neither from the total number of students: 36 - 6 = 30.
Now we can calculate the probability. The probability that a randomly selected student is both a freshman and a chemistry major is given by the ratio of the number of students who are both to the total number of students: 30/36 = 5/6, or approximately 0.8333.
Next, we need to find the probability that a selected student is a chemistry major given that she is a freshman. We know that there are 16 freshmen in total, and out of these, 21 students are chemistry majors. So the probability can be calculated as 21/16 = 1.3125.
However, since probabilities should be between 0 and 1, we need to normalize this value. The probability that a randomly selected student is a freshman and a chemistry major is approximately 0.3125.
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Mario cut a large piece of cloth into small rectangles. Each small rectangles has the same area. The area of each small rectangle is 1/8 the areas is the large piece. How many small rectangles did Mario cut
Answer:
Mario cut 8 small rectangles.
In an aquarium, there are large fish and small fish. Half of the large fish are red. One fish is selected at random. Find the probability that it is a large, red fish.
The probability that a randomly selected fish is a large, red fish is 0.25 or 25%.
To find the probability that a randomly selected fish is a large, red fish, we need to consider both the probability of selecting a large fish and the probability of selecting a red fish among the large fish.
Assuming an equal number of large and small fish, the probability of selecting a large fish is 0.5 (or 1/2).
Among the large fish, the probability of selecting a red fish is also 0.5 (or 1/2).
To find the overall probability, we multiply the probabilities of the individual events:
Probability of selecting a large, red fish = Probability of selecting a large fish × Probability of selecting a red fish among the large fish
Probability of selecting a large, red fish = 0.5 × 0.5
Probability of selecting a large, red fish = 0.25
Therefore, the probability that a randomly selected fish is a large, red fish is 0.25 or 25%.
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Provide the missing statement and reasons for the following proof:
The missing statements and reasons in the proof are:
R3: Alternate Interior ∠s theorem
S4: Reflexive property
R5: ASA
How to Provide the Missing Statement and Reason of a Proof?A proof involves statements that are stated on one column, then followed by reasons that justify the statements stated, on another column.
The missing statements and reasons in the given proof above are explained below:
Statement Reason
1. Parallelogram ABCD with diagonal AC 1. Given
2. AB║CD and AD║BC 2. Def. of parallelogram
3. ∠1 ≅ ∠2 and ∠3 ≅ ∠4 3. Alternate Interior ∠s theorem
4. AC ≅ AC 4. Reflexive property
5. ΔABC ≅ ΔCDA 5. ASA
6. AB ≅ CD and AD ≅ BC 6. CPCTC
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Which of the following ratios is equivalent to 1/3?
A.1:3
B.2:3
C.2:1
D.1:2
Answer:
A
Step-by-step explanation:
because 1/3 is like saying 1 out of 3 and 1:3 is like saying 1 for every 3. same thing.
The value of a baseball player's rookie card began to increase once the player retired. When he retired in his card was worth $5.54. The value has increased by $ 1.06 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in ?
The value of the card in 2002 is $12.00. Hence, relationship between x and y is not proportional to each other in this case.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The number of years between 1996 to 2002 would be:
= 2002 - 1996
= 6 years
The relationship that is relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of the following;
y = 5.54 + 1.06x
where x = 6 years
y = 5.54 + 1.06(6)
y = 5.54 + 6.36
y = $12.00
The value of the card in 2002 is $12.00.
The relationship between x and y is not proportional to each other in this case.
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Express with fractional exponents instead of radicals.
Answer:
I don't know
Step-by-step explanation:
980-788711758c75ds47c75c70rz76vyif7cuc8f58x85c7f85f8c
Where is the horizontal center of mass of the entire upper extremity?
Answer:
can you tell me please
Step-by-step explanation:
nicest
A can of soda is placed inside a cooler. As the soda cools, its temperature C (t) in degrees Celsius after t minutes is given by the following exponential function.
C (t) = 19 (0.96)
Find the initial temperature.
__ C
Does the function represent growth or decay?
O growth
O decay
By what percent does the temperature change each minute?
__%
The temperature decreases by 4% each minute.
What is the exponential decay
Exponential decay is a process in which a quantity decreases over time and the rate of decrease is proportional to the current value of the quantity. This means that as the quantity decreases, the rate of decrease slows down.
I believe there is an error in the given function. It seems to be missing the exponent for 0.96. Assuming that it should be "\(C(t) = 19(0.96)^t\)", I can provide the following solutions:
The initial temperature is the temperature when t = 0. Plugging in t = 0 into the function, we get:
\(C(0) = 19(0.96)^0 = 19(1) = 19\)
Therefore, the initial temperature is 19 degrees Celsius.
The function represents decay because the base of the exponential term (0.96) is between 0 and 1, causing the function to approach 0 as time goes on.
The percent change in temperature each minute can be calculated using the following formula:
Percent Change = (New Value - Old Value) / Old Value x 100%
For each minute that passes, the temperature decreases by a factor of 0.96. Therefore, the new temperature is 0.96 times the old temperature. Using the initial temperature of 19 degrees Celsius, we can calculate the percent change in temperature each minute as follows:
Percent Change = \((0.96 * 19 - 19) / 19 * 100%\)
= -4%
Hence, the temperature decreases by 4% each minute.
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the price of a jacket was reduced from $50 to $30. by what percentage was the price of the jacket reduced?
Answer:
the jacket price was reduced by 40%.
Step-by-step explanation:
if $50 is 100% then every one dollar is 2%.
Percentage of the reduction of price of the jacket is 40%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100.
Percentage is usually denoted by the symbol '%'.
We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Given that,
Original price of the jacket = $50
Let x be the percentage of reduction of the price of the jacket.
50 - (x × 50) = 30
50x = 50 - 30
50x = 20
x = 20 / 50
x = 0.4
Percentage = 0.4 × 100 = 40%
Hence the percentage reduction is 40%.
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what is 4*4 pls help me i dont know what it is
Answer:
16
Step-by-step explanation:
It's not necessary to give a step by step explanation.
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
\(g(x) = -\sqrt{x + 3} + 8\)
What is the range of the given function?
Here we first have the function:
\(f(x) = -2*\sqrt{x - 3} + 8\)
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
\(f(3) = -2*\sqrt{3 - 3} + 8 = 8\)
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
\(g(x) = -\sqrt{x + 3} + 8\)
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A mountain hike consists of a steady incline followed by a curved hill and then a flat valley. The mountain hike is modeled by the piecewise-defined function ???? above, and the graph of ???? is shown in the figure above. Which of the following expressions gives the total length of the hike from x = 0 to x = 10.
Length of hike = definite integral of velocity from 0 to 10.
What is integral ?
An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.
The total length of a piecewise-defined function represents the total distance between points on the curve. To calculate this, one can use calculus techniques, such as integration. The definite integral of the function over an interval represents the total length of the curve on that interval. To find the total length of the mountain hike from x=0 to x=10, one needs to evaluate the definite integral of the function over the interval [0,10]. This can be calculated either analytically, using calculus, or numerically, using numerical integration methods. The exact method to be used would depend on the specifics of the function and the desired level of accuracy.
Length of hike = definite integral of velocity from 0 to 10.
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8) Find the perimeter of the parallelogram? *7 points17 cm5 cm15 cm44274849
ANSWER
44 cm
EXPLANATION
The perimeter of a polygon is the sum of the side lengths. In this case we have two sides that are 7 cm long and two sides that are 15 cm long. The perimeter is:
\(\begin{gathered} P=7\operatorname{cm}+7\operatorname{cm}+15\operatorname{cm}+15\operatorname{cm} \\ P=14\operatorname{cm}+30\operatorname{cm} \\ P=44\operatorname{cm} \end{gathered}\)Martin and his aunt are building a wooden planter for her flowers in the shape of a right triangle for his aunt’s house. For the perimeter, he has calculated the longest board to be 10 feet and the shortest board to be 6 feet. What would be the length of the remaining board?
Let's start by considering the three sides of the right-angled triangle that is being created. According to the problem, the longest board is 10 feet, and the shortest board is 6 feet.
The remaining board's length is denoted by x feet. Let us use the Pythagorean theorem to solve for the missing side of the triangle:
a² + b² = c² where a and b are the two shorter sides of the triangle, and c is the hypotenuse. Therefore, applying this formula, we get:
6² + x² = 10²x²
= 100 - 36x²
= 64x
= ±√64x
= ±8
Ignoring the negative value for x, content loaded Martin and his aunt are building a wooden planter for her flowers in the shape of a right triangle for his aunt’s house. For the perimeter, he has calculated the longest board to be 10 feet and the shortest board to be 6 feet. we can say that the missing side of the triangle is 8 feet long. Therefore, the length of the remaining board is 8 feet. The remaining board's length is denoted by x feet. Let us use the Pythagorean theorem to solve for the missing side of the triangle: a² + b² = c² where a and b are the two shorter sides of the triangle In conclusion, the length of the remaining board is 8 feet.
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What is an equation of the line that passes through the points (4,-1) and (8,5)?
Answer:
y=3/2x-7
Step-by-step explanation:
the equation of the line for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
we are given two points: (4,-1) and (8,5)
the equation for slope is (y2-y1)/(x2-x1)
label the points:
x1=4
y1=-1
x2=8
y2=5
now substitute into the equation:
m=(5--1)/(8-4)
m=6/4
m=3/2
the slope of the line is 3/2
here is our equation so far:
y=3/2x+b
we need to find b
since the equation will pass through the points, we can substitute either one into the equation to find b
let's use (4,-1) as an example
substitute into the equation
-1=3/2(4)+b
-1=6+b
-7=b
the y intercept is -7
so the equation is y=3/2x-7
hope this helps!
Simplify the expression:
5a - 2a + 9
Answer:
3a+9
Step-by-step explanation:
Answer:
3a+9
Step-by-step explanation:
5-2=3 then 3a=9 it pretty simple
BRAINLIEST IF YOU ANSWER THANKS!!!
ANSWER:
1. translation: 3 units right and 1 unit down
2. 130°
Use a protractor to draw a parallelogram that has side lengths of 8 centimeters and 6 centimeters and two adjacent angles that measure 40° and 140°. What are the measures of the other two angles in the parallelogram?.
Answer:the answer is 40 degrees and 140 degrees
Step-by-step explanation: took the test
Given the function f:{1}→{1}; f(x)=1, check which one(s) of the properties it has.
A. increasing
B. decreasing
C. strictly increasing
D. injective
E. surjective
F. strictly decreasing
G. None of the above
The function f has the property injective. (D)
An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.
In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.
It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.
As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.
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The sum of two numbers is 16 and their difference is 2 the big number between them is
hello
the answer to the question is:
A + B = 16
A - B = 2
----> A = 9, B = 7
and the number between them is 8
i will make you Brainliest if you know what fraction is equal to 1.5
Answer:
3/2
Step-by-step explanation:
There are a lot of fractions that equal 1.5, but if you're asking for the most simplified fraction, 3/2 is the answer.
Suppose a business records the following values each day the total number of customers that day (X) Revenue for that day (Y) A summary of X and Y in the previous days is mean of X: 600 Standard deviation of X: 10 Mean of Y: $5000, Standard deviation of Y: 1000 Correlation r= 0.9 Calculate the values A,B,C and D (1 mark) Future value of X Z score of X Predicted y average of y+ r* (Z score of X)* standard deviation of y 595 A B 600 0 $5000 D 615 IC You will get marks for each correct answer but note you are encouraged to show working. If the working is correct but the answer is wrong you will be given partial marks
The predicted values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350, therefore, the correct option is IC.
Given,
Mean of X = 600
Standard deviation of X = 10
Mean of Y = $5000
Standard deviation of Y = 1000
Correlation r= 0.9
Future value of X = 595
Z score of X = (X- Mean of X) / Standard deviation of X= (595-600) / 10 = -0.5
Using the formula, Predicted y = average of y+ r* (Z score of X)* standard deviation of y
Predicted y = $5000 + 0.9 * (-0.5) * 1000 = $4750
The predicted value of Y for X = 595 is $4750.
Now, to find the values of A, B, C, and D; we need to calculate the Z score of X = 615 and find the corresponding predicted value of Y.
Z score of X = (X- Mean of X) / Standard deviation of X= (615-600) / 10 = 1.5
Predicted y = average of y+ r* (Z score of X)* standard deviation of y
Predicted y = $5000 + 0.9 * (1.5) * 1000 = $6350
The predicted value of Y for X = 615 is $6350.
Hence, the values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350
Therefore, the correct option is IC.
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Find the Domain and range
The range are {0,300,600,900,1200} in function .
Describe domain and range?
The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range.
The values that the function outputs when we enter an x value are in this set. The range is the set of y -coordinates, which are 0, 1, 2, and 7, 8, 9, 10, respectively, while the domain is the set of x -coordinates.
since for the given table we have unique output for each input.
the given table hour worked versus salary is a function.
Domain - set of input values
{0,10,20,30,40 }
Range - set of output values
{0,300,600,900,1200}
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Jen and Kamlee are walking to school. After 20
minutes, Jen has walked 45
mile. After 25
minutes, Kamlee has walked 56
mile.
Question 1
Part A
Find their speeds in miles per hour.
Enter the correct answers in the boxes.
Answer:
Fghcv
Step-by-step explanation:
Gvhv
convert radians to degrees. which quadrant does this angle lie in? what are the sine, cosine and tangent of the angle ? be sure to show and explain all work.
To convert radians to degrees, we need to multiply the radian measure by 180/π. Let's say we have an angle of 3π/4 radians. To convert this to degrees, we would do:
3π/4 * 180/π = 135 degrees
So our angle measures 135 degrees. Now let's determine which quadrant this angle lies in. A positive angle in the second quadrant will have a cosine value that is negative and a sine value that is positive. Using the unit circle, we can see that our angle of 135 degrees is in the second quadrant. Therefore, our cosine value is -cos(135) and our sine value is sin(135).
To find the tangent, we can use the formula tangent = sine/cosine. So our tangent value is:
tan(135) = sin(135)/cos(135) = (-√2/2)/(-√2/2) = 1
So the sine of our angle is √2/2, the cosine is -√2/2, and the tangent is 1.
Hi! To convert radians to degrees, use the formula:
degrees = radians × (180 / π)
First, determine the angle in radians. Let's say the angle is θ radians.
Step 1: Convert radians to degrees
θ degrees = θ × (180 / π)
Step 2: Determine the quadrant
Check the value of θ degrees to see which quadrant it lies in:
- 0° ≤ θ < 90°: Quadrant I
- 90° ≤ θ < 180°: Quadrant II
- 180° ≤ θ < 270°: Quadrant III
- 270° ≤ θ < 360°: Quadrant IV
Step 3: Calculate sine, cosine, and tangent
To find the sine, cosine, and tangent of the angle θ, you can use a calculator or a reference table:
- sin(θ) = sine of the angle
- cos(θ) = cosine of the angle
- tan(θ) = tangent of the angle = sin(θ) / cos(θ)
Make sure to use the angle in radians for these calculations. After finding the sine, cosine, and tangent values, you'll have the complete information about the angle in question.
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Can someone pls help? Tysm if u do! <3