kaley read 12 1/4 pages in 1/3 hours. How many can she read in 1 hour?
Answer:
15 1/4 pages im thinking please correct me if im wrong
Step-by-step explanation:
Which is a quadratic function?
Answer:
it has two zeroes
it is of the form ax^2+bx+ c
thats all
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
INTEGERS A frog starts at 0 on a number line. It jumps 100 units to the right then jumps 200 units to the left. It then jumps 199 units to the right followed by 198 units to the left, and then 197 units to the right followed by 196 units to the left. The frog continues to move in alternate directions. Each movement is 1 unit less than the previous movement.
Where on the number line is the frog after 10 moves?
On the number line after 10 moves frog is at the integer -96.
Given that, a frog starts at 0 on a number line.
It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).
It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).
It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).
It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).
It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).
Hence, on the number line after 10 moves frog is at the integer -96.
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answer please will mark brainlest
they must be write answer in 1 hour
Answer:
y= -2x-2
Step-by-step explanation:
y=mx + b
y=-2x -2
slope -2 (m=-2) thats your slope
Points are (-3,4) (1,-4)
y2 -y2 -4 - 4 = -8
x2 -x1 1 - -3 = 4
-8/4 simplify
-2/1
leslie used some of her allowance money to buy a stack of 300 baseball trading cards at a yard sale. she randomly looks at 24 cards and sees 8 outfielders, 7 pitchers, 4 catchers, and 5 infielders. based on the data, what is the probability that the next card leslie looks at will be a pitcher?
the probability of picking a pitcher from the remaining cards is still 7/24. The probability that the next card Leslie looks at will be a pitcher is 7/24.
Leslie randomly looked at 24 cards out of 300, and she saw that 7 of them were pitchers. So, the probability of picking a pitcher from those 24 cards is 7/24. Since the remaining cards are still part of the same deck, and Leslie did not replace any of the cards she looked at, the probability of picking a pitcher from the remaining cards is still 7/24. Therefore, the probability that the next card Leslie looks at will be a pitcher is 7/24.
Step 1: Determine the total number of cards Leslie looked at, which is 24 (8 outfielders + 7 pitchers + 4 catchers + 5 infielders).
Step 2: Identify the number of pitchers, which is 7.
Step 3: Calculate the probability of picking a pitcher by dividing the number of pitchers by the total number of cards: 7 pitchers / 24 cards = 0.2917, or 29.17% when expressed as a percentage.
So, based on the data, the probability that the next card Leslie looks at will be a pitcher is approximately 29.17%.
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Parker divides a fruit bar into thirds. How many equal parts are there?
can you make a triangle with angle measures 23° 49° and 106°?
Answer:
no
Step-by-step explanation:
All triangles must add up to one 180 degrees 23+49+106 does not equal 180
jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. a rat weighs 3.5 pounds and costs $4.50 per week to feed, while a beagle weighs 30 pounds and costs $9.20 per week to feed. using weight as the explanatory variable, what is the slope of the line between these two points? answer choices are rounded to the nearest hundredth.
The
slope
of the
line
between the two points is 0.18.
To calculate the slope of the line between the two given
points
(3.5, $4.50) and (30, $9.20), we can use the formula for slope:
slope = (change in y) / (change in x)
As per the question, the weight serves as the explanatory variable (x), and the feed cost serves as the response variable (y).
Change in y = ($9.20 - $4.50) = $4.70
Change in x = (30 - 3.5) = 26.5
Therefore, the
slope
is:
slope = (4.70) / (26.5)
slope = 0.177 ≈ 0.18 (rounded to the nearest hundredth)
So, the
slope
of the
line
between the two points is 0.18.
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for exercise, mae jogs miles then walks an additional to cool down. if her jogging speed is miles per hour faster than her walking speed and her total exercise time is , what is her walking speed?
Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.
Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.
To calculate Mae's exercise time, we can use the formula: time = distance / speed.
Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:
jogging time = 27 / (x + 12.5)
Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:
walking time = 3 / x
The total exercise time is given as 3 hours. Therefore, we can set up the equation:
jogging time + walking time = 3
Substituting the calculated values, we get:
27 / (x + 12.5) + 3 / x = 3
To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:
27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)
Simplifying the equation:
\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)
Combining like terms:
\(30x + 375 = 3x^2 + 37.5x\)
Rearranging the terms to set the equation equal to zero:
\(3x^2 + 7.5x - 375 = 0\)
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(\(b^2\) - 4ac)) / (2a)
In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:
x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)
x = (-7.5 ± √(56.25 + 4500)) / 6
x = (-7.5 ± √(4556.25)) / 6
Calculating the square root:
x = (-7.5 ± 67.5) / 6
Simplifying further:
x = (60 / 6) or x = (-75 / 6)
Since Mae's walking speed cannot be negative, the solution is x = 10.
Therefore, Mae's walking speed is 10 miles per hour.
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The complete question is:
For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is
This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
The roof of a house rises 9 ft over a run of 12 ft.
Determine the height of a vertical brace placed
8 ft from the low end of the roof.
The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Slope of roof = ratio of rise to run = rise / run = 9/12 = 3/4
If the brace is placed 8 ft from the low end of the roof, hence:
height of brace = slope * 8 = 3/4 * 8 = 6 ft
The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.
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Which of the following is most likely the next step in the series?
Answer:
My guess is D
Step-by-step explanation:
As far as im concerned thatis mybest choice
At a certain school, 8/9 of the students are boys. Today, 4/5 of the boys brought their lunch. What fraction of the students are boys who brought their lunch today?
The answer is 32/45
Answer:
B = 8 S / 9 8 out of 9 students are boys
4 / 5 B = L 4 out of 5 boys brought their lunch
B = 5 L / 4
5 L / 4 = 8 S / 9 from first equation
L = 32/45 * S 32 boys out 45 students brought their lunch
i will give you brainliest
Answer:
For a it's 1, for b, it's 9
Step-by-step explanation:
1 is equal to 7/7. 9/1 is equal to 9.
Hope this helps! If it does, please mark me brainliest. Thank you! ;)
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
Simplify the expression (2x-9)(x+6)
Answer:
2x²+3x-54
Step-by-step explanation:
(2x-9)(x+6)
=x(2x-9)+6(2x-9)
=2x²-9x+12x-54
=2x²+3x-54
Place the following numbers on the number line. -3, -0.75, 0.42,-2.1
To place these numbers on a number line, we need to first understand the concept of a number line.
A number line is a visual representation of numbers, where each point on the line corresponds to a number. Numbers to the right of zero are positive, and numbers to the left of zero are negative.
Let's begin by placing -3 on the number line. Since -3 is a negative number, it will be placed to the left of zero. We can mark a point on the line and label it as -3.
Next, let's place -2.1 on the number line. Again, since -2.1 is a negative number, it will be placed to the left of zero. We can mark a point on the line and label it as -2.1.
Moving on to the next number, 0.42, this is a positive number and will be placed to the right of zero. We can mark a point on the line and label it as 0.42.
Finally, let's place -0.75 on the number line. Since -0.75 is a negative number, it will be placed to the left of zero. We can mark a point on the line and label it as -0.75.
So, the numbers -3, -2.1, -0.75, and 0.42 are placed on the number line as follows:
-3 ----- (-2.1) -------- (-0.75) ---------- 0 -------------- 0.42
In summary, placing numbers on a number line helps us visualize their relative positions and understand their magnitudes.
By using the concept of positive and negative numbers, we can place any number on the number line with ease.
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I’m soooo grateful for you guys that’s helping me!!!
Answer:
52
Step-by-step explanation:
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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What's the smallest number divisible by 1-11?
DONT CLICK ON THIS IF YOU DONT KNOW THE RIGHT ANSWER.
State what additional information is required in order to know that the triangles are congruent for the reason given.
Answer:
\(\sqrt{x} \int\limits^a_b {x} \, dx \pi\)Step-by-step explanation:
Miss Brown's car travels an average of 19 miles per gallon of gasoline. The gas tank capacity is 17 gallons. How many miles can Miss Brown drive before running out of gas?
Please show work.
Answer:
36 trust me I'm good at math
Step-by-step explanation:
add 19 and 17
how to find the magnitude and direction of a vector using trig?
To find the magnitude and direction of a vector using trigonometry, you can follow these steps:
1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).
2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
magnitude(A) = √(Ax^2 + Ay^2)
3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
angle = arctan(Ay / Ax)
b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).
4. Convert the direction to degrees or radians, depending on the required format.
Let's consider an example to illustrate these steps:
Suppose we have a vector A with components Ax = 3 and Ay = 4.
1. Identify the components: A = (3, 4).
2. Calculate the magnitude:
magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
3. Find the direction:
angle = arctan(4 / 3) ≈ 53.13 degrees.
4. Convert the direction:
angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.
So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.
Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.
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the average number of calls received by a switchboard in a 30 minute period is 17. (round your answers to four decimal places.) (a) what is the probability that between 10:00 and 10:30 the switchboard will receive exactly 13 calls? (b) what is the probability that between 10:00 and 10:30 the switchboard will receive more than 10 calls but fewer than 19 calls? (c) what is the probability that between 10:00 and 10:30 the switchboard will receive fewer than 10 calls?
a. The probability of exactly 13 calls is approximately 0.0765.
b. The probability of more than 10 but fewer than 19 calls is approximately 0.7472.
c. The probability of fewer than 10 calls is approximately 0.0952.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.
This problem can be solved using the Poisson distribution, which models the number of events that occur in a fixed time interval, given the average rate of occurrence.
Let λ be the average number of calls received by the switchboard in a 30 minute period. Then we have:
λ = 17
(a) To find the probability of exactly 13 calls in a 30 minute period, we use the Poisson distribution with λ = 17 and x = 13:
P(x = 13) = \((e^{(-\lambda)} * \lambda^x)\) / x!
P(x = 13) = \((e^{(-17)} * 17^{13})\) / 13!
P(x = 13) ≈ 0.0765
So the probability of exactly 13 calls is approximately 0.0765.
(b) To find the probability of more than 10 but fewer than 19 calls in a 30 minute period, we can use the cumulative distribution function (CDF) of the Poisson distribution. The probability of more than 10 calls is:
P(x > 10) = 1 - P(x ≤ 10)
To find P(x ≤ 10), we can sum the probabilities of 0 to 10 calls:
P(x ≤ 10) = Σ \((e^{(-\lambda)} * \lambda^x)\) / x!
P(x ≤ 10) ≈ 0.2423
So:
P(x > 10) = 1 - P(x ≤ 10) ≈ 0.7577
Similarly, the probability of fewer than 19 calls is:
P(x < 19) = Σ \((e^{(-\lambda)} * \lambda^x)\) / x!
P(x < 19) ≈ 0.9895
So:
P(10 < x < 19) = P(x < 19) - P(x ≤ 10) ≈ 0.7472
Therefore, the probability of more than 10 but fewer than 19 calls is approximately 0.7472.
(c) To find the probability of fewer than 10 calls in a 30 minute period, we can use the CDF of the Poisson distribution:
P(x < 10) = Σ \((e^{(-\lambda)} * \lambda^x)\) / x!
P(x < 10) ≈ 0.0952
Therefore, the probability of fewer than 10 calls is approximately 0.0952.
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Alice, Bryan and Cindy share the cost of renting an apartment in the ratio
3:6:4 respectively. If Alice pays $810 monthly, how much is the total
monthly rent?
Answer: $3510
Step-by-step explanation:
Fro th question, Alice, Bryan and Cindy share the cost of renting an apartment in the ratio 3:6:4 respectively and we.are informed that Alice pays $810 monthly.
Alice ratio = 3
Bryan's ratio = 6
Cindy's ratio = 4
Total ratio = 3+6+4 = 13
Since Alice has a ratio of 3, this means that Alice pays 3/13 of the total monthly rent. Let the total rent be x. Therefore,
3/13 of x = 810
3/13 × x = 810
3x/13 = 810
3x = 810 × 13
3x = 10530
x = 10530/3
x = 3510
Therefore, the monthly rent is $3510
A teacher gave 13 marks to student and 12 marks to another student in one exam. Can you tell TIME by the previous sentence?
Answer:
1:45
Step-by-step explanation:
Trickish a bit. But look at it from this angle.
Two students were given marks that when added together, gives a total of 25. 25 on the other hand, is known to be a quarter of 100.
Again, we consider that there are 2 students involved, so we can say that the hour mark is at 2. This means that we have quarter to 2. And looking up quarter to 2 on the clock gives 1:45.
The answer is therefore 1:45
a bucket that weighs 4 pounds and a rope of negligible weight are used to draw water from a well that is 83 feet deep. the bucket is filled with 35 pounds of water and is pulled up at a rate of 1.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.25 pounds per second. find the work done pulling the bucket to the top of the well. your answer must include the correct units. (you may enter lbf or lb*ft for ft-lb.)
The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).
To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.
First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.
Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.
Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.
Work = Force * Distance
Work = 39 pounds * 83 feet
To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.
To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.
39 pounds * 32.2 feet per second squared = 1255.8 pound-force
Finally, we can calculate the work done pulling the bucket to the top of the well.
Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)
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Level 4
3.
One of the largest sewing machines in the world has a flywheel (which turns as the machine sews) that is 5
feet in diameter. The highest point of the handle at the edge of the flywheel is 9 feet above the ground, and
the lowest point is 4 feet. The wheel makes a complete turn every 2 seconds. Write a model for the height h
(in feet) of the handle as a function of the time t (in seconds) given that the handle is at its lowest point when
t = 0.
Answer:
To solve this problem, let's break it down step by step.
1. Find the difference in height between the highest and lowest point of the handle:
The difference in height is 9 feet - 4 feet = 5 feet.
2. Calculate the circumference of the flywheel:
The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter.
The diameter is given as 5 feet, so the circumference is C = π(5) = 5π feet.
3. Determine the vertical distance covered by the handle in one revolution of the flywheel:
Since the handle is attached to the edge of the flywheel, it moves in a circular path as the flywheel rotates.
The circumference of the flywheel represents the distance covered by the handle in one revolution.
Therefore, the vertical distance covered is also 5π feet.
4. Calculate the speed of the handle:
The wheel makes a complete turn every 2 seconds, which means it completes one revolution in 2 seconds.
Therefore, the speed of the handle is the vertical distance covered (5π feet) divided by the time taken (2 seconds):
Speed = (5π feet) / (2 seconds) = (5/2)π feet per second.
So, the handle of the sewing machine moves at a speed of (5/2)π feet per second.find the most general antiderivative of the function f(x) = 8x^9 - 3x^6 12x^3
The most general antiderivative of f(x) is:\((4/5)x^10 - (3/7)x^7 + 3x^4 + C.\)
How to find general antiderivative of the function?To find the most general antiderivative of the function f(x) = \(8x^9 - 3x^6 + 12x^3,\) we need to use the power rule of integration, which states that:
\(∫x^n dx = (x^(n+1))/(n+1) + C,\) where C is the constant of integration.
Using this rule, we can find the antiderivative of each term in the function:
\(∫8x^9 dx = (8/(9+1))x^(9+1) + C1 = (4/5)x^10 + C1\)
\(∫-3x^6 dx = (-3/(6+1))x^(6+1) + C2 = (-3/7)x^7 + C2\)
\(∫12x^3 dx = (12/(3+1))x^(3+1) + C3 = 3x^4 + C3\)
Putting it all together, we get:
\(∫(8x^9 - 3x^6 + 12x^3) dx = (4/5)x^10 + (-3/7)x^7 + 3x^4 + C\)
where C = C1 + C2 + C3 is the constant of integration for the entire function.
Therefore, the most general antiderivative of f(x) is:
\((4/5)x^10 - (3/7)x^7 + 3x^4 + C.\)
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What is there effect on the volume of a cylinder when the radius is doubled and the height is unchanged?
Answer
Explanation:
Volume of a cylinder is expressed as;
\(\text{V = }\pi r^2h\)If the radius is doubled and the height is unchanged, then;
r2 = 2r
h2 = h
Get the volume of the new cylinder
\(undefined\)