Answer:
3/4
Step-by-step explanation:
What is the slope of the line shown?
Answer:
-2
Step-by-step explanation:
from one point to another, you go down 2 and over 1
Answer:
the answer is -2
Step-by-step explanation:
this is because for every unit it goes to the right it goes down 2 which makes it negitive if it is facing down and positive if facing up.
I need help on this
A quarter circles fits exactly into a square of side 4 cm, as shown.
Determine the area of the shaded region, giving your answer correct to 3 significant figures.
Side of square = Radius of circle = 4cm
Area of full circle
= πr²
= (22/7) × 4cm × 4cm
= 352/7 cm²
Area of the quarter of circle
= Area of full circle/4
= (352/7)/4
= (352/7) × (1/4)
= 352/28
= 12.571 {approximately}
Jenny bought 4 books in a bookstore. The prices of the first 3 books
were $10, $15 and $25. The average price she paid for the 4 books
was $18 per book. How much did she pay for the 4th book?
The cost of 4th book is $22.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Jenny bought 4 books in a bookstore. The prices of the first 3 books were $10, $15 and $25.
Let the cost of 4th book be $x.
Now, average = (10+15+25+x)/4
(50+x)/4 =18
50+x =72
x=$22
Therefore, the cost of 4th book is $22.
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hello need ASAP please help due tommorow
Answer:
28×4/7=16
Step-by-step explanation:
well it seems as the most logical answer but it also seems the realist one to pick for me personally but I would think it is better to see mixed opinions but I think it's the 2nd one
Find the volume v of the solid obtained by rotating the region bounded by the given curves 2x=y^2 x=0
According to the given statement This integral will give you the volume of the solid..
To find the volume of the solid obtained by rotating the region bounded by the curves 2x = y² and x = 0, we can use the method of cylindrical shells.
First, let's graph the given curves to visualize the region. The curve 2x = y² is a parabola opening to the right, and the line x = 0 is the y-axis.
Next, we need to find the limits of integration. From the given information, we know that x ranges from 0 to some value. To find this value, we set the equations equal to each other and solve for x:
2x = y²
x = y²/2
Since x cannot be negative, we take the positive square root of both sides:
√x = y/√2
√2x = y
So, the limits of integration for y are √2x and 0, and the limits of integration for x are from 0 to some value.
To set up the integral for the volume, we use the formula:
V = ∫[a, b] 2πrh dx
where r is the distance from the axis of rotation to the curve (in this case, the x-axis), and h is the height of the cylindrical shell.
In this case, the radius r is x, and the height h is given by the difference between the y-values of the curves at a particular x-value:
h = √2x - 0
Plugging these values into the integral, we get:
V = ∫[0, b] 2πx(√2x - 0) dx
Simplifying this integral will give you the volume of the solid.
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To find the volume of the solid obtained by rotating the region bounded by the given curves \(\(2x = y^2\) and \(x = 0\)\), we can use the method of cylindrical shells. The volume can be calculated using the integral:
\(\[v = \int_{0}^{2} 2\pi x\sqrt{2x} \, dx\]\)
The given curves are \(\(2x = y^2\) and \(x = 0\).\) We want to rotate the region bounded by these curves about the y-axis to form a solid.
To use the method of cylindrical shells, we divide the region into thin cylindrical shells. The radius of each shell is the x-coordinate, which is x, and the height is the difference between the y-values on the curve, which is \(\(\sqrt{2x}\)\).
Now, we set up the integral. The integral represents the sum of the volumes of all the cylindrical shells. The integral is evaluated over the range from x = 0 to x = 2, as determined by the bounds of the region.
Evaluating the integral gives us the volume of the solid:
\(\[v = 2\pi\int_{0}^{2} x^{3/2} \, dx\]\)
Integrating this expression yields:
\(\[v = 2\pi\left[\frac{2}{5}x^{5/2}\right]_{0}^{2}\]\)
Evaluating the limits of integration, we get:
\(\[v = 2\pi\left[\frac{2}{5}(2)^{5/2} - \frac{2}{5}(0)^{5/2}\right]\]\)
Simplifying this expression gives us the volume v of the solid.
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Help me on number 1 i am give brainlist if right
Answer:
B) 5029 < 5.128
D) 2.001 < 2.100
E) 9.401 > 9.309
Step-by-step explanation:
B) 5029 < 5.128
D) 2.001 < 2.100
E) 9.401 > 9.309
What is the decimal value for ⅙
Answer:0.166
Step-by-step explanation:I used a calculator
Phythagorean theorem help me plsss
Answer:
5
Step-by-step explanation:
We know that a^2+b^2=c^2 from the Pythagorean theorem where a and b are the legs and c is the hypotenuse
4^2+3^2 = c^2
16+9 = c^2
25 = c^2
Taking the square root of each side
sqrt(25) = sqrt(c^2)
5 =c
Answer:
d = 5 m
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles with legs 3 and 4 and hypotenuse h
Using Pythagoras' identity in one of the right triangles, then
d² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
d = \(\sqrt{25}\) = 5
H={(-6,-7),(-2,1),(-2,-5)} Give the domain and range of H. Write your answers using set notation. domain =prod range
The domain of H is the set {-6, -2} while the range of H is the set {-7, -5, 1}
The set is H={(-6,-7),(-2,1),(-2,-5)}.
We need to find the domain and range of H.
In mathematics, a domain is the set of all possible inputs (also known as the independent variable) of a function. On the other hand, the range is the set of all possible outputs (also known as the dependent variable) of a function.
The domain is also known as the input values while the range is also referred to as the output values. Let’s begin with the domain of H. The first element in the ordered pair is x and the second element is y.
Therefore, the domain is the set of all x values in H. Therefore, the domain of H = {-6, -2}.Next, we need to determine the range of H. The range is the set of all y values in H. Therefore, the range of H = {-7, -5, 1}.
To write in set notation, we write:{(-6,-7),(-2,1),(-2,-5)} ⇒ Domain = {-6, -2}⇒ Range = {-7, -5, 1}
In conclusion, the domain of H is the set {-6, -2} while the range of H is the set {-7, -5, 1}. The domain is the set of all possible inputs (independent variable) while the range is the set of all possible outputs (dependent variable) of a function.
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tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by where is the time in years and is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?
(a) The height after t years is given by: h(t) = 0.75t^2 + 5t + 12
(b) The shrubs are 54 centimeters tall when they are sold.
To solve this problem, we need to integrate the given differential equation dh/dt = 1.5t + 5 with respect to t to obtain an expression for h in terms of t. Then we can use this expression to answer the questions asked.
Integrating both sides of the equation with respect to t, we get
∫dh = ∫(1.5t + 5) dt
h = 0.75t^2 + 5t + C
where C is the constant of integration. To find C, we use the initial condition that the seedlings are 12 centimeters tall when planted, i.e., h(0) = 12. Substituting t = 0 and h = 12 in the above equation, we get
12 = 0.75(0)^2 + 5(0) + C
C = 12
Therefore, the expression for h in terms of t is
h = 0.75t^2 + 5t + 12
(a) To find the height after t years, we simply substitute the value of t in the above equation
h(t) = 0.75t^2 + 5t + 12
(b) The shrubs are sold after 6 years of growth and shaping. Therefore, we need to find h(6) to determine their height at the time of sale
h(6) = 0.75(6)^2 + 5(6) + 12
= 54 cm
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The given question is incomplete, the complete question is:
Tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by dh/dt = 1.5t + 5 where t is the time in years and h is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?
Learning curves are important for:
a. helping new PMs understand the required math.
b. visualization of curved mechanical parts.
c. estimating performance improvement as workers become experienced.
d. estimating cost improvement as parts become "broken in".
The correct answer is c. Learning curves are important for estimating performance improvement as workers become experienced.
Learning curves are often used in project management to estimating the time, effort, and resources required to complete a task or project. They help to estimate how long it will take for a worker or team to become proficient at a task or process, based on the amount of time and effort that they have put into it.
This can be helpful in estimating performance improvement as workers become more experienced and efficient in their work. The concept of a learning curve is a curved line that represents the rate of improvement over time, which is why the term "curve" is relevant. While learning curves do involve some math, they are not primarily focused on helping new PMs understand required math, nor are they used for visualization of curved mechanical parts or estimating cost improvement as parts become "broken in."
Learning curves are important for:
c. estimating performance improvement as workers become experienced.
Learning curves represent the progress made in a skill or job over time, whereas a curve illustrates the relationship between experience and efficiency. As workers become more experienced, their performance typically improves, which can be estimated using a learning curve in various industries and tasks.
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Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.
a
b
= 6
Answer:
hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.
Step-by-step explanation:
a physician uses two labs to measure patient cholesterol levels and believes that lab 1 (1) may be reporting lower cholesterol levels, on average, than lab 2 (2). to test their theory, the physician collects pairs of blood samples from 35 patients and sends a sample from each patient to lab 1 and sends the other sample from each patient to lab 2. from the 35 pairs of blood samples, the mean and standard deviation of differences in cholesterol levels are calculated. is there evidence to confirm that lab 1 is reporting lower cholesterol levels, on average, than lab 2? flag question: question 9 question 9 5 pts which type of test should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2? group of answer choices paired t test for means paired z test for means z test for means sign rank test t test for proportions t test for means z test for proportions
To determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2, a paired t-test for means should be used.
This is because the physician collected pairs of blood samples from each patient and wants to compare the means of the two labs' cholesterol level measurements. The paired t-test for means is appropriate for comparing the means of two related samples, in this case, the blood samples from each patient tested by lab 1 and lab 2.
A paired t-test for means should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2. This test is appropriate because the data consists of paired samples from the same patients, and the goal is to compare the means of the differences between the two labs.
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A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 12400 kilograms have already been loaded into the container. Which inequality can be used to determine x, the greatest number of
120-kilogram crates that can be loaded onto the shipping container?
Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is 8000 + 120C <= 27500
What is inequality?An inequality is a relationship that allows us to contrast two or more mathematical expressions.
Knowing that;
Each carton weighs 120 kg.
The container's maximum weight when loaded is 27500 kg.
Weight of the container as it is currently loaded: 8000 kg
Now that we have merged, we have;
Solution
because 8000 grams have already been loaded kilograms
into the container
each crate weighs 120 kilograms.
so 8000 + 120C <= 27500
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Yvonne ran 3/8 of the race stopping for water. She wants to stop for water one more time before finishing the race. List two ways Yvonne can do this
Yvonne stops for water after 6/8 on the race for one more time.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Yvonne ran 3/8 of the race stopping for water.
This means,
After every 3/8 Yvonne stopped for water.
Now,
Total distance = 1
Distance remaining after one stop.
= 1 - 3/8
= 5/8
And,
Another stop will be after 3/8.
This means,
Distance remains after the second stop.
= 5/8 - 3/8
= 2/8
Now,
1 - 2/8
= 6/8
The second stop is after 6/8 of the race.
Thus,
Yvonne stops for water after 6/8 on the race for one more time.
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Here is a linear equation: y = 10+ 1. Are (1,1.5) and (12, 4) solutions to the equation? Select the correct choice.
Answer:
[see below]
Step-by-step explanation:
Assuming that the equation is y = 10x + 1
(12, 4)
4 = 10(12) + 1
4 = 120 + 1
4 ≠ 121
(12, 4) is not a solution.
(1, 1.5)
1.5 = 10(1) + 1
1.5 = 10 + 1
1.5 ≠ 1
They are not solutions to the equation.
Hope this helps.
Answer:
bath
Step-by-step explanation:
When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7
Anyone know the answer to this question
Answer:
The relation is a function because there isnt a repeating y
Answer:
y= -3x
Step-by-step explanation:
the measure of the supplement of an angle is 30 degrees less than five times the measure of the complement. find the measure of an angle, its supplementery angle, and its complenemt
Hence, the measure of the angle is 40 degrees, its supplementary angle is 140 degrees, and its complement is 50 degrees.
Given that the measure of the supplement of an angle is 30 degrees less than five times the measure of the complement. Let's assume the measure of an angle is x.
Complementary angles: Two angles are called complementary if their sum equals 90°.If the measure of an angle is x, then its complementary angle will be 90° - x.
Supplementary angles: Two angles are called supplementary if their sum equals 180°.If the measure of an angle is x, then its supplementary angle will be 180° - x.
Now we can translate the given data in the form of equations.
Supplementary angle = 180° - x
Complementary angle = 90° - x
We are given that, The measure of the supplement of an angle is 30 degrees less than five times the measure of the complement.
Using the above equations, we can form the following equation:
Supplementary angle = 5(Complementary angle) - 30°
Substituting the values of supplementary and complementary angles, we get:
180° - x = 5(90° - x) - 30
Simplifying and solving this equation for x:
180° - x = 450° - 5x - 30°180° - x
= 420° - 5x6x
= 240x
= 40
Therefore, the measure of the given angle is x = 40°.
Supplementary angle = 180° - x = 180° - 40° = 140°
Complementary angle = 90° - x = 90° - 40° = 50°
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Help me out here please, ill give so many points, answer In paper and send a picture of it, thanks.
Olivia earned 24 out of 30 points on her chemistry exam. What percent of the points did Olivia earn.
Answer:
She earned 80% right
Step-by-step explanation:
You start by dividing the points earned by the total questions.
\( \frac{24}{30 } = .8\)
then multiply by 100
\(.8 \times 100 = 80\)
then you add the percent symbol
\(80\%\)
please show work and I'm being timed
Sugar cookies make up 38% of all sales for a local baker's cookie sales. If the baker sold 133 sugar cookies, how many total cookies did the baker sell?
The total number of cookies baker sold in all are 350 cookies.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.
Let the total number of cookies be x.
Now, 38% of x=133
38/100 ×x=133
x=13300/38
x=350
Therefore, the total number of cookies baker sold in all are 350 cookies.
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Instructions- *Ignore Comparing aspects* I only need the answers, I will not need to compare. Thanks.
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You and your partner will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret the meaning of the confidence interval, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
Answer:
Where is the questions?
Step-by-step explanation:
Me + The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You and your partner will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret the meaning of the confidence interval, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game. = My brain hurts!!!
y = x + 1 y = − 4x − 4
Answer:
2y=3x=-4
Step-by-step explanation:
grouping like terms
y+ly =4x-x=-4
2y=3x=-4
Mhanifa please help!!!!!! Please please
Answer:
#7
Ratio of corresponding sides (determined by opposite angles)
28/35 = 4/520/25 = 4/512.4/15.5 = 4/5The ratios are equal, the polygons are similar
# no number
Ratios:
5/15 = 1/37/21 = 1/3Yes, similar
# 8
The triangles are isosceles.
The ratios of bases and sides:
8/12 = 2/35/7.5 = 2/3B. ABC ~ MNO, SSS
a generic drug is being tested to test its efficacy (effectiveness) at reducing blood pressure in patients with hypertension (a.k.a. high blood pressure). in a randomized, double-blind experiment with 200 patients, 100 are given the name-brand drug (control group) and 100 are given a generic version of the drug (treatment group). in the control group, the average reduction in blood pressure is 15.2 mmhg with a standard deviation of 11.5 mmhg. in the treatment group, there is an average reduction of 14.6 mmhg and a standard deviation of 12.5 mmhg. neither group has any outliers. a researcher claims that this study shows the generic drug is not as effective as the name-brand drug. what would be the reply of a statistician?
A statistician would reply that this study does not provide enough evidence to make a conclusion about the efficacy of the generic drug.
The difference in the average reduction of blood pressure in the two groups is not statistically significant, and the standard deviations are very similar. It is possible that the difference in the results is due to random chance, not because one drug is more effective than the other.
To make a reliable conclusion, a larger sample size and a longer duration of the study may be necessary. Additionally, further analysis of the data should be done to determine if there are any other factors that could be influencing the results.
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(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.
(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.
(a) We have shown that there exists an element b ∈ B that is an upper bound for A.
(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.
(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.
Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).
Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.
(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.
Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.
This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.
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Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?
The following linear differential equation models the charge on the capacitor, q(t), at time t in an RLC series circuit. L d^2q/dt^2 + R dq/dt + 1/C q = E(t) Find the charge on the capacitor when L = 10 henry, R = 20 ohms, C = (6260)^-1 farad, and E(t) = 100 volts, with the initial conditions q(0) = 0 coulombs and i(0) = 0 amperes.
The charge on the capacitor at time t is given by q(t) = -21292.5e^(-0.00878t) + 21292.5e^(-314.53t) + 626000 coulombs.
How to find the charge on the capacitor?To find the charge on the capacitor, with the initial conditions q(0) = 0 coulombs and i(0) = 0 amperes, we use the given linear differential equation:
L d^2q/dt^2 + R dq/dt + 1/C q = E(t)
We can solve for q(t) by finding the roots of the characteristic equation, and assuming a particular solution. Then we use the initial conditions to solve for the constants in the general solution.
The solution to the differential equation is:
q(t) = -21292.5e^(-0.00878t) + 21292.5e^(-314.53t) + 626000
Therefore, the charge on the capacitor at time t is given by q(t) = -21292.5e^(-0.00878t) + 21292.5e^(-314.53t) + 626000 coulombs.
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