Find the midpoint CD
(1, -7/2) is the midpoint
Answer:
Step-by-step explanation:
17. Algebraically determine the domain and the y -intercept of the function y=\log _{4}(2 x+1)-3 .
The domain of the function is `R` and the y-intercept is `(0, -3)`
Given, `y = log4(2x + 1) - 3`.
To determine the domain of the function,
we should look for all values of `x` that would make the given function undefined.
There are no real values of `x` that would make the function undefined.
Therefore, the domain of the function is all real numbers or `R`.
To determine the y-intercept, substitute `x = 0` in the given function.`
y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`
Therefore, the y-intercept of the function is `(0, -3)`.
Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.
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Kelly purchased 6 equally-priced CDs for a total of $75.30 what is the cost per CD?
Answer:
$12.55 per CD
Step-by-step explanation:
If each CD is of equal price, you must then divide the price by the number of CD's. (75.30/6=12.55)
Answer:
$75.30/6 = $12.55 per CD
Step-by-step explanation:
Since the CDs are equally-priced, my thought is that you would divided the quantity that you purchased by your total to get your answer. So, your total, $75.30 divided by, the amount of CDs purchased, 6. This would lead you to the answer $12.55, which is the cost of each CD. To check your answer you would multiply $12.55 by 6 to get $75.30.
Hope this helped! :D
How many solutions should 3(x – 2)2 = 12 have?
0
1
2
3
infinite
Answer:
3 is the answer hope this helps broo
Sheila was making place-value disks. She colored 2/6 of the disks red. She colored 1/4 of the disks yellow. If she colored 40 red place value disks, how many disks did she color yellow? How many disks does she still have left to color?
Answer:
She colored 30 yellow place value disks and 50 disks are left to color.
Step-by-step explanation:
Let total number of disks be x.
It is given that, she colored 2/6 of the disks red. She colored 1/4 of the disks yellow.
\(\text{Red disks}=\dfrac{2}{6}x\)
\(\text{Yellow disks}=\dfrac{1}{4}x\)
She colored 40 red place value disks.
\(\dfrac{2}{6}x=40\)
\(\dfrac{1}{3}x=40\)
\(x=120\)
It means total number of disks is 120.
\(\text{Yellow disks}=\dfrac{1}{4}x=\dfrac{1}{4}(120)=30\)
So, she colored 30 yellow place value disks.
Remaining disks = Total disks - Red disks - Yellow disks
\(=120-30-40\)
\(=50\)
Therefore, 50 disks are left to color.
Assume we have a machine that uses 1 byte for a short int and 2 bytes for an int. What's the decimal value of z after running the following code. short int x = -36; // binary sequence is 11011100 int y = x; unsigned int z = y;
The decimal value of 'z' after running the given code is 220.
The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.
Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.
Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.
In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.
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What's the radius of the big cylinder?
Answer:
I think 56.52
Step-by-step explanation:
To find the radius you'll have to do C=2(3.14)(9)=56.52
PLEASE HELP ASAP!!!!!! i’ll mark brainlest
Answer: A) 5 x 1/2
Step-by-step explanation: 5 x 1/2 yields 2.5, which is also the answer to 5 / 2.
Answer: A. 5 x 1/2
5 divided by 2 is 2.5, and 5 x 1/2 is also 2.5
Please help!! I'm super confused
Answer:
Step-by-step explanation:
The top part (is a square)
Area = s^2
Area = 10 * 10
Area = 100
The bottom part is a trapezoid
h = 4
b1= 6
b2 = 10
Area = (b1 + b2) * h / 2
Area = (10 + 6 ) * 4/2
Area = 16 * 4 /2
Area = 32
Total Area = 132
The graph shows the number of paintballs a machine launches, y, in x seconds: A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line. A line is shown connecting points on ordered pair 2, 12 and 4, 24 and 6, 36 and 8, 48. Which expression can be used to calculate the rate per second at which the machine launches the balls? (5 points) fraction 12 over 2 fraction 2 over 12 fraction 48 over 2 fraction 2 over 48
Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.
The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line
A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)
m=24-12/4-2
m=12/2
Hence, fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls
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This year a herd of bison had a 10 percent decrease in population; if there are 550 bison now how many bison are there?
equations is the inverse of y = x^2-5?
Answer:
Step-by-step explanation:
1. Interchange x and y. We get: x = y^2 - 5
2. Solve for y: y^2 = x + 5, so that y = ±√(x + 5)
If the measure of central angle aob is 62 degrees, what is the measure of inscribed angle acb?
The measure of the inscribed Angle ACB is (31/360) × πr
Inscribed angles and central angles are two different kinds of angles in a circle. Both angles share the same vertex and endpoints, but their position differs.
Inscribed angles are the angles formed from two intersecting chords in a circle, whereas central angles are the angles whose vertex is the center of the circle and whose endpoints lie on the circle. These two kinds of angles have a special relationship, which can be explained using the Central Angle Theorem.
Let's look at how to use the Central Angle Theorem to solve this problem. Here is the diagram of the given problem: Inscribed Angle and Central Angle
The Central Angle Theorem states that the measure of a central angle is twice the measure of its corresponding inscribed angle. It means that if you know the measure of a central angle, you can find the measure of the inscribed angle. The inscribed angle and the central angle both have the same intercepted arc, so the measure of the inscribed angle is half the measure of the intercepted arc.
To find the measure of the inscribed angle ACB, we need to find the measure of the intercepted arc AB first. Using the formula for finding the measure of an arc, which is: measure of arc = (central angle/360) × 2πrWe can find the measure of the intercepted arc AB as follows:
measure of arc AB = (62/360) × 2πr Note that we don't know the radius of the circle, so we can't find the exact measure of the arc. However, we don't need to know the exact measure of the arc to find the measure of the inscribed angle. We only need to know that the measure of the arc is twice the measure of the inscribed angle ACB. Therefore, we can write: measure of inscribed angle ACB = (1/2) × (measure of arc AB)measure of inscribed angle ACB = (1/2) × (62/360) × 2πrSimplifying this expression, we get: measure of inscribed angle ACB = (31/360) × πr
Hence, the measure of the inscribed angle ACB is (31/360) × πr.
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there are two cookies on a tray plus four rows of cookies with three cookies in each row. How many cookies are there? What is the correct expression for finding how many cookies there are in all A) 2+4*3=18 B) 2+4*3=14 C) (2+4)*3=24 D) (2+4)*3=18
Answer:
2+4x3= 14 cookies so its B
Step-by-step explanation:
Evaluate 11.5x + 10.9y when x = 6 and y =7
The value of the algebraic expression 11.5x + 10.9y at x = 6 and y = 7 is 145.3
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.5x + 10.9y
We have to find the value of the algebraic expression at x = 6 and y = 7
Putting x = 6 and y = 7 in the algebraic expression,
\(11.5 \times 6 + 10.9 \times 7\)
69 + 76.3
145.3
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In a regression of perceived long-term investment value (LTIV) on size (S), book-to- market (B/M), and management quality (MQ), the following coefficients (all significant) were estimated:
LTIV = −.86 + .15log(S) − .11log(B/M) + .85MQ
Discuss what can be learned from this regression (which appears in Shefrin, H., and M. Statman, 1995, "Making sense of beta, size, and book-to-market," Journal of Portfolio Management 21 (no. 2), 26–34).
Based on the regression results provided LTIV = −.86 + .15log(S) − .11log(B/M) + .85MQ
We can interpret the coefficients as follows:
Intercept: The intercept term is -0.86. It represents the expected value of perceived long-term investment value (LTIV) when all the independent variables (size, book-to-market, and management quality) are zero. In this case, it suggests that even with no size, book-to-market ratio, or management quality, there is still a negative expectation for the long-term investment value.Size (S): The coefficient for log(S) is 0.15. It indicates that for a one-unit increase in the natural logarithm of size, the perceived long-term investment value is expected to increase by 0.15 units, holding other variables constant. This suggests that larger companies tend to have higher perceived long-term investment value.Book-to-Market (B/M): The coefficient for log(B/M) is -0.11. It implies that for a one-unit increase in the natural logarithm of the book-to-market ratio, the perceived long-term investment value is expected to decrease by 0.11 units, holding other variables constant. This suggests that companies with higher book-to-market ratios (indicating a value-oriented investment) tend to have lower perceived long-term investment value.Management Quality (MQ): The coefficient for MQ is 0.85. It indicates that for a one-unit increase in management quality, the perceived long-term investment value is expected to increase by 0.85 units, holding other variables constant. This implies that higher management quality is associated with higher perceived long-term investment value.To know more about regression refer to-
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What 2 numbers multiply to -18 and add up to -4
Answer:
-9 x 1 x 1 x 1 x 2 = (-18)
-9 + 1 + 1 + 1 + 2 = (-4)
The two numbers that multiply to -18 and add up to -4 are -6 and 3.
Let's consider the factors of 18: 1, 2, 3, 6, 9, 18.
We need a pair of factors whose product is negative (-18) and whose sum is -4.
The pair of numbers that satisfies these conditions is -6 and 3:
-6 x 3 = -18
-6 + 3 = -3
Therefore, the two numbers that multiply to -18 and add up to -4 are -6 and 3.
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Can someone help me asap? It’s due today!! I will give brainliest if it’s all correct. Select all that apply
The data are matched as shown below
Data 1 - d
Data 2 - c
Data 3 - a
Data 4 - b
How to match the data with the correct interquartile rangeIQR is an abbreviation for interquartile range
The interquartile range is calculated using the formula
= top quartile - bottom quartile
Data 1
top quartile = 11
bottom quartile = 5
IQR = 11 - 5 = 6
Data 2
top quartile = 11
bottom quartile =7
IQR = 11 - 7 = 4
Data 3
top quartile = (8 + 9)/2 = 8.5
bottom quartile = (15 + 12)/2 = 13.5
IQR = 13.5 - 8.8 = 5
Data 4
top quartile = 9
bottom quartile = 12
IQR = 12 - 9 = 3
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the life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 520 hours. find the probability of a bulb lasting for at most 549 hours. round your answer to four decimal places.
Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.
Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.
To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).
The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.
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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%
Explanation:Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.
To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.
We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.
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which one yall think it is
Answer:
Undefined
Step-by-step explanation:
A straight vertical line is a undefined slope
A straight horizontal line is a slope of 0
Answer:
I think its 0. Cause why would it be undefined?
2a = 6 can you answer please
Answer:
a = 3/1
Step-by-step explanation:
2a = 6
a = 6/2
a = 3/1
...........
How many tons of cheese will 20,850,000 Texans consume this year?
Answer:
60,000 tons
Step-by-step explanation:
Jonah went on a vacation to Germany. He took $1,800 with him. After 3 days, he had
$1,254 left. How much did he spend in the first 3 days? Explain how you got your answer
Help me please
Answer:
546
Step-by-step explanation:
subtract how much he has left by how much he started with
Determine whether statement is always, sometimes, or never true. Explain.
One pair of opposite sides are parallel in a kite.
The statement One pair of opposite sides are parallel in a kite is sometimes true.
A kite is a type of quadrilateral that has two pairs of adjacent sides that are equal in length. In a kite, the two longer adjacent sides (the top and bottom of the kite) are not parallel, while the two shorter adjacent sides (the sides of the kite) are parallel to each other.
Therefore, it is true that one pair of opposite sides are parallel in a kite. However, the other pair of opposite sides are not parallel. Therefore, the statement is only sometimes true and not always true.
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Pablo is simplifying the expression below.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5)
He used the steps below to simplify the expression.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5) = negative 2 x minus 3 + 2 x minus 5 = negative 8
Which statement is true about the steps that Pablo used to simplify the expression?
A He combined like terms inside the parentheses, distributed Negative one-fourth over (8 x + 12), and then combined the remaining like terms.
B He combined like terms inside the parentheses, distributed Negative one-fourth over (Negative 2 x + 5), and then combined the remaining like terms.
C He distributed Negative one-fourth over (8 x + 12), distributed 1 over (Negative 2 x + 5), and then combined like terms.
D He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Answer:
B
Step-by-step explanation:
got it right on edge
Answer:
D: He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Step-by-step explanation:
I did the test and got it right.
this wooden frame is made of three planks attached with glue and nails. the wood will be painted with emulsion paint which takes 70ml of paint per meter of wood. calculate the amount of paint needed to cover all the wood. there's a triangle right angle with the hypotenuse as 10m and the vertical side as 6m
Answer:
this wooden frame is made of three planks attached with glue and nails. the wood will be painted with emulsion paint which takes 70ml of paint per meter of wood. calculate the amount of paint needed to cover all the wood. there's a triangle right angle with the hypotenuse as 10m and the vertical side as 6m
Step-by-step explanation:
Use basic trigonometric identities to simplify the expression: tan^3(x) + tan (x)=?
Step 1
Simplify the expression.
\(\tan (x)(\tan ^2(x)\text{ +1)}\)Step 2
Find a trigonometric identity that can be used to simplify the expression in step 1
\(\tan ^2(x)+1=sec^2(x)\)Step 3
Get the final answer after substitution.
\(\tan (x)sec^2(x)\)Hence the right answer is option B
Use the graph to estimate the selling price for a 4-year old car.
O A. $24,000
B. $20,000
che c. $8,000
D. $16,000
Answer:
The Correct answer would be option D, $16,000.
Step-by-step explanation:
Look at the bottom section of the graph, that is labled
"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.
True or False: Determine whether each statement is true or false, and briefly explain your answer by citg a Theorem, providing a counterexample, or a convincing argument. A. If A is a 7 x 4 matrix, then A can have rank 5 b. If A is a 4 x 7 matrix, then A can have nullity 5 c. If A is a 7 x 4 matrix, then A can have nullity 5d. If A is a 7 × 4 matrix, then rank(A) + nullity(A) = 7 e. If A is a 6 x 8 full rank matrix, then nullity(A)2 f. If A is a 5 x8 full-rank trix, then A16] is always consistent for any beR g. IfA is a 5 × 8 full-rank matrix, then | Alb | always has a unique solution for any b E R
The following are the statements with explanation whether the statement is true or false, using rank-nullity theorem and invertible matrix theorem.
a. False. According to the rank-nullity theorem, the rank of a matrix plus its nullity equals the number of columns. As a result, a 7 x 4 matrix can only have a rank of 4, because the nullity cannot be negative.
b. False. According to the rank-nullity theorem, the nullity of a matrix plus its rank equals the number of columns. As a result, because the rank cannot be negative, a 4 x 7 matrix can have a maximum nullity of 3.
c. True. According to the rank-nullity theorem, the nullity of a matrix plus its rank equals the number of columns. As a result, a 7 x 4 matrix has a maximum nullity of 3, implying that it can have a nullity 5.
d. True. According to the rank-nullity theorem, the rank of a matrix plus its nullity equals the number of columns. As a result, if A is a 7 x 4 matrix, rank(A) + nullity(A)= 4 + nullity(A) = 7. When we solve for nullity(A), we get nullity(A) = 3, therefore rank(A) + nullity(A) = 4 + 3 = 7.
e. False. According to the rank-nullity theorem, the nullity of a matrix plus its rank equals the number of columns. As a result, if A is a 6 x 8 full-rank matrix, its nullity is 8 - 6 = 2, rather than nullity(A) = 2² = 4.
f. True. According to the invertible matrix theorem, a full-rank matrix has a unique solution for any non-zero right-hand side vector b. As a result, the system Ax = b is always consistent for every non-zero b.
g. True. According to the invertible matrix theorem, a full-rank matrix has a unique solution for each right-hand side vector b. As a result, the system Ax = b will always have a distinct solution for any b.
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the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides
Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.
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