Answer:
Below
Step-by-step explanation:
The line has negative slope and y-axis intercept = 2 from inspection
two points on the line are needed to calculate the slope
find two easy to work-with points
like (-3,4) and (4,-1)
slope = (y1-y2) / ( x1-x2) = (4 - -1) / ( -3-4) = -5/7
Slope intercept form y = mx +b m is slope b is intercept of y-axis
soooo ... y = -5/7 x + 2
The graph is rather fuzzy:
I looked a little longer and decided points (-4,5) and (4,-1) may be more accurate:
slope = 5--1 / -4-4 =- 6/8 so then the answer would be y = -3/4x + 2
2. The following set of count readings was made in a gradient-free γ-ray field, using a suitable detector for repetitive time periods of one minute: 18,500;18,410; 18,250;18,760;18,600;18,220;18,540;18,270;18,670;18,540. (a) What is the mean value of the number of counts? (b) What is its standard deviation (S.D.)? (c) What is the theoretical minimum S.D. of the mean? (d) What is the actual S.D. of a single reading? (e) What is the theoretical minimum S.D. of a single reading?
The inflection point of f(t) is approximately t = 3.73.
(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.
Taking the derivative of f(t), we have:
f'(t) = -1.275t^2 + 9.516t + 6.741
To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:
-1.275t^2 + 9.516t + 6.741 = 0
Using the quadratic formula, we find two possible values for t:
t ≈ 0.94 and t ≈ 6.02
Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).
For t < 0.94, choose t = 0:
f'(0) = 6.741 > 0
For 0.94 < t < 6.02, choose t = 1:
f'(1) ≈ 14.982 > 0
For t > 6.02, choose t = 7:
f'(7) ≈ -5.325 < 0
From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).
(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.
Taking the second derivative of f(t), we have:
f''(t) = -2.55t + 9.516
Setting f''(t) = 0 and solving for t, we find:
-2.55t + 9.516 = 0
t ≈ 3.73
Therefore, The inflection point of f(t) is approximately t = 3.73.
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Is table values represents a function of f(x) =3x -4 what statement explains why she is correct or incorrect?
What single percentage change is equivalent to a 19% decrease followed by a 15% increase?
The single percentage change is 6.85%.
Here it is given that there is a 19% decrease and a 15% increase. And we have to find a single percentage change.
The formula of single percentage is
a + b + a .b/ 100
So let's take a = -19 as there is a decrease in the percentage and b = 15 as there is an increase.
So we get a single percentage = -19 + 15 - (19×15)/ 100
= - 4 -2.85
= -6.85
Therefore the single percentage change is 6.85%.
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Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Let A be an nxn matrix and let B=A+I. Is it possible for A and B to be similar? Explain.
No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.
Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.
Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.
Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.
Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.
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in 2009 usain bolt set the world record for spriniting 100 m in approximately 9 3 over 5 second
The average speed of Usain Bolt is \($10 \frac{5}{12}$\) m/s.
Define average speed.A body's average speed is the mean value of its speed over time. Because the speed of a moving body is not constant and varies over time, an average speed formula is required. Even with varying speed, the values of total time and total distance covered can be used, and we can find a single value to represent the entire motion using the average speed formula.
Usain Bolt set the world record for sprinting 100 meters in approximately 9 \(\frac{3}{5}\) second.
The formula for average speed is given by:
Speed = Distance/Time
Given Data:
Distance = 100 m
Time = 9 \(\frac{3}{5}\)
Time = 48/5 sec
Now, Speed = \($\frac{100}{\frac{48}{5}}$\)
Speed = 500/48
Speed = 125/12
Speed = \($10 \frac{5}{12}$\)
As a result, the average speed of Usain Bolt is measured in meters per second is \($10 \frac{5}{12}$\).
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solve for x please i will love you for the rest of my life
Answer:
1) x = 14
2) x = 25
Step-by-step explanation:
1)
3x - 2 + 50 = 90
3x + 48 = 90
3x = 42
x = 14
2)
4x + 2 + 78 = 180
4x + 80 = 180
4x = 100
x = 25
What is the solution for the equation 6x -8 = 4x
Step-by-step explanation:
6x - 8 = 4x
6x- 4x = 8
2x = 8
x = 8/2
x = 4
\(...\)
Answer: x=4
Step-by-step explanation:
6x-8=4x subtract 4x from both sides
-4x -4x
2x-8=0 isolate x by adding 8 on both sides
+8 +8
2x=8 divide by 2 on both sides
/2 /2
x=4
Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?
Taner will only need to run 3 km this week to complete his 6 km running goal.
Describe the fractional number in detail:If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.
To determine the fractional numbers, two whole numbers (including fraction terms) are separated by a horizontal line (the fraction line). The denominator just below line must be different from zero, whereas the numerator well above line may be any whole number.Given that, Taner's overall running goal is 6 km (including last week and this week)
So,
Taner's 2-week goal is 6 kilometres.
Now,
Taner's goal for the week is 3 kilometres = (6/2).
As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.
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14 cm
11.2 cm
B
8.4 cm
3 cm
Complete these sentences
(i) Triangle A is an enlargement of triangle B by scale factor
(ii) Triangles A and B are mathematically
Triangle A is an enlargement of triangle B by scale factor
helppp pls sos idk how to do this
What number is 8 a multiple of?
The numbers, 8 is a multiple of are 1, 2, 4 & 8.
What is a multiple?
Multiples are values which come in other numbers multiplication table. When two numbers are multiplied together, the result is a multiple, or product. For instance, if we say 4 × 5 = 20, here 20 is a multiple of 4 and 5. The other multiples of 4 can be listed as 4 (4 ×1 = 4), 8 (4 × 2 = 8), 12 (4 × 3 = 12), and so on.
Solution/Explanation:
1*8=8
2*4=8
4*2=8
8*1=8
so there are 4 numbers whose multiple is 8.
Let's take a number 6
Now, we know that 6 comes in numbers 1, 2, 3, 6 multiplication table so 6 is a multiple of 1, 2, 3, 6
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the ratio of the surface areas of two similar cylinders is 4/25. the radius of the circular base of the larger cylinder is 0.5 centimeters. what is the radius of the circular base of the smaller cylinder? drag a value to the box to correctly complete the statement.
Answer:
.2 Cm
Step-by-step explanation:
find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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two events are not independent if: group of answer choices one event does not affect the probability of another event we can count the possible outcomes the sum of their probabilities is greater than 1 one event affects the likelihood of another event
Two events are not independent if d) one event affects the likelihood of another event. This means that the occurrence of one event changes the probability of the other event happening.
For example, if flipping a coin, the probability of getting heads is 0.5, but if we know that the coin is weighted towards tails, the probability of getting heads will decrease, this means that the coin flip and the weight of the coin are not independent events because the weight of the coin affects the likelihood of getting heads.
In general, if the occurrence of one event changes the probability of another event, then the two events are not independent.
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The table shows the relationship between the number of trucks filled with mulch (x) and the number of tons of mulch (y) delivered by a landscaping company. Which regression equation models the data? A.y = 4.8x + 3B. y = 3x + 4.8C.y = x + 20.8 D. y = 20.8x + 1
the formula for a linear regression line is y = ax + b
where a and b are:
Answer: 4.8x + 3
Step-by-step explanation:
Find an equation of the line L that passes through the point
(−2, 4)
and satisfies the condition. (Let x be the independent variable and y be the dependent variable.)
L is parallel to the line
3x − 2y = 6.
Answer:
Para encontrar la ecuación de la línea L que pasa por el punto (-2, 4) y es paralela a la línea 3x - 2y = 6, primero debemos encontrar la pendiente de la línea 3x - 2y = 6.
La forma estándar de la ecuación de una línea es y = mx + b, donde m es la pendiente y b es la intersección en y. Podemos reescribir la ecuación 3x - 2y = 6 en esta forma:
3x - 2y = 6
-2 años
Por lo tanto, la pendiente de la línea 3x - 2y = 6 es 3/2.
Dado que la línea L es paralela a esta línea, también tiene una pendiente de 3/2. Ente
y - y1 = m(x - x1)
donde m es la pendiente y (x1, y1) es un punto en la línea. Nos
y - 4 = (3/2)(x - (-2))
Simplificando esta ecuación, obtenemos:
y - 4 = (3/2)x + 3
y = (3/2)x + 7
Por lo tanto, la ecuación de la línea L que pasa por el punto (-2, 4) y es paralela a la línea 3x - 2y = 6 es y = (3/2)x + 7.
Step-by-step explanation:
espero te sirva, traducelo si no puedes español.
d. 11=%
9
Express the following percent as fractions and decimals
Answer:
11_100
0.11
iam not sure
best of luck
A line with a slope of 0 passes through the point ( 9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Equation in point slope form
\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)
\(\\ \sf\longmapsto y-5=0(x-9)\)
\(\\ \sf\longmapsto y=5\)
1) Complete the table
2) find the mean of the random variable x. Use the formula in the photo
Answer:
a. Please check the explanation for filling of the empty column on the table
b. The mean of the random variable x is 7/11
Step-by-step explanation:
a. Firstly, we are concerned with completing the table.
To do this, we simply need to multiply the values in the column of x by the values in the column of p(x)
Thus, we have the following;
2. 3 * 2/36 = 6/36
3. 4 * 3/36 = 12/36
4. 5 * 4/36 = 20/36
5. 6 * 5/36 = 30/36
6. 7 * 6/36 = 42/36
7. 8 * 5/36 = 40/36
8. 9 * 4/36 = 36/36
9. 10 * 3/36 = 30/36
10. 11 * 2/36 = 22/36
11. 12 * 1/36 = 12/36
b. We want to find the mean of the random variable x.
All what we need to do here is add all the values of x•P(x) together, then divide by 11.
Thus, we have
(2/36 + 6/36 + 12/36 + 20/36 + 30/36 + 42/36 + 40/36 + 36/36 + 30/36 + 22/36 + 12/36)/11
Since the denominator is same for all, we simply add all the numerators together;
(252/36) * 11 = 252/396 = 63/99 = 7/11
Each pair of figures is similar. Use the information to find the scale factor of the smaller figure to the larger figure.
The scale factor of the smaller figure to the larger figure is 1.5.
What is a scale factor?In Mathematics and Geometry, a scale factor can be determined through the division of the side length of the image (new figure) by the side length of the original or actual geometric figure (pre-image).
Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:
Scale factor = side length of image/side length of pre-image
By substituting the given side lengths into the scale factor formula, we have the following;
Scale factor = 6/4
Scale factor = 1.5.
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The distance from El Paso Texas to Houston
Texas is approximately 746 miles. If you
have already traveled 296 miles and you plan
on driving at a constant rate of 75 miles per
hour, how long will it take to get to Houston?
Answer:
It will take 6 hours to get to Houston.
Step-by-step explanation:
We have a total distance:
\( d_{T} = 746 mi \)
And, the distance traveled is:
\( d = 296 mi \)
The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:
\(t = \frac{x}{v}\)
Where:
\( x = d_{T} - d = 746 mi - 296 mi = 450 mi \)
\(t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h\)
Therefore, it will take 6 hours to get to Houston.
I hope it helps you!
Orange paint shade is prepared by mixing 2 ounces of yellow dye with 3 gallons of red paint.
How much yellow dye do you need for 6 gallons of red paint? Answer:
How much red paint do you need for 6 ounces of yellow dye? Answer
what is 2+2? I have this in my state test, im only in 8th grade and need help
Answer:
Step-by-step explanation:
2+2=4
Answer: It took me seven hours on this! I hope this is put to good use
1+1=2
1+2=3
2+2=4
Hope u do well!
In the fifth grade at Lenape Elementary School, there are
3/4
as many girls as there are boys. There are 63 students in the fifth grade. How many students are girls?
Answer:
47 girls
Step-by-step explanation:
63÷4=15.75
15.75×3=47.25
Which of this best describes the relationship of the data shown on this scatterplot?
Answer:
B No correlation
Step-by-step explanation:
Positive correlation = as x increases, y increases
Negative correlation = as x increases , y decreases
Constant correlation = as x increases, y stays the same
10. IDX Tech is looking to expand its investment in advanced security systems. The project will be financed with equity. You are trying to assess the value of the investment and must estimate its cost of capital. You find the following data for a publicly-traded firm in the same line of business: Debt Outstanding (book value, AA-rated) $423 million Number of shares of common stock $67 million Stock price per share $17.29 Book value of equity per share $6.24 Beta of equity 1.19 What is your estimate of the project's beta? What assumptions do you need to make?
To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.
The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.
It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.
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Find the specified areas for a Upper N left-parenthesis 0 comma 1 right-parenthesis density. (a) The area below z equals 1.04 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (b) The area above z equals -1.4 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (c) The area between z equals 1.1 and z equals 2.1 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:
1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).
The area below z=1.04 is approximately 0.851, rounded to three decimal places.
(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:
1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.
The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.
(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:
1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
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Mr. Hernandez worked for 8 hours a day for 24 days building an addition onto his client’s house. He was paid $22 an hour for his work. How much did Mr. Hernandez get paid for building the addition?
Answer:
Mr. Hernadez got paid $4,224 for his work
In total he got paid $176 dollars.Correct me if ik wrong but I hope I helped
a person leaves home and walks 4 miles west, then 3 miles southwest.how far from home is she?$6.478469167$correct milesin what direction must she walk to head directly home?$70.8864353$incorrect 19.113564701735 degrees north of east
The person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.
To find the distance and direction the person needs to walk to head directly home, we can use the Pythagorean theorem and some trigonometry.
1. First, break the southwest walk into west and south components. Since it's a 3-mile walk at a 45-degree angle, the west and south components are equal: 3 * cos(45°) = 3 * 0.7071 ≈ 2.121 miles for both west and south components.
2. Calculate the total west and south distances. The total west distance is the sum of the initial westward walk and the west component of the southwest walk: 4 miles + 2.121 miles ≈ 6.121 miles. The total south distance is just the south component of the southwest walk: 2.121 miles.
3. Use the Pythagorean theorem to find the straight-line distance back home: √((6.121 miles)^2 + (2.121 miles)^2) ≈ 6.478 miles, which is the correct distance.
4. Determine the angle between the eastward direction and the straight-line path back home. Use the inverse tangent function: angle = atan(south distance / west distance) = atan(2.121 miles / 6.121 miles) ≈ 19.11° north of east, which is the correct direction.
So, the person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.
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