Which situation is modeled by the graph?
Height
Time

Answer:

slope of the line is y=mx+b

                               y= -3x+6

                                 m=-3

points are (2,0)  (0,6)  

Step-by-step explanation:

Answer:

Step-by-step explanation:

They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)

On average number of customers arrives at a grocery shop per minute is equal to 1.2 customers per minute.

As given in the question,

Following a Poisson distribution:

Number of customers arrives at grocery store

= Average rate of 70 per hours

Conversion hours to minutes

1 hour = 60 minutes

λ = average rate of 70 per hours

  = average rate of 70 per 60 minutes

  = average rate of ( 7 / 6 ) per minute

 = average rate of 1.1666...per minute

= average rate of 1.2 per minute

Therefore,  on average 1.2 number of customers arrives per minute.

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Thus, the total area of composite figure (circle on a rectangle) is found as  29.91 m².

Area of sector of the circle = (Ф/360°) *π*r²

r is the radius = 5.5 m

π = 3.14

Area =  (30/360°) *3.14 * 5.5²

Area = 7.91 m²

Area of rectangle = width × length

Area = 4 × 5.5 = 22 m²

Total area of composite figure = area of the circle's sector + area of the rectangle

Total area of composite figure =  7.91 m² + 22 m² = 29.91 m²

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In interval estimation, when the sample size have become larger then the interval estimate then it will becomes narrower. Option (c) is correct.

A large sample of pattern length or decrease variability will bring about a tighter self belief c program interval with a smaller margin of error. A smaller pattern length or a better variability will bring about a much wider self belief c program interval with a bigger margin of error. The stage of self belief additionally impacts the c program interval width. The large your pattern, the greater certain you may be that their solutions genuinely mirror the population.

This suggests that for a given self belief stage, the bigger your pattern length, the smaller your self belief c program language period. The width of the self belief c program interval for an character observe relies upon to a massive volume at the pattern length. Larger research generally tend to provide greater unique estimates of effects (and therefore have narrower self belief intervals) than smaller research.

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Correct Question:

In interval estimation, as the sample size becomes larger, the interval estimate

a). remains the same, because the mean is not changing.

b). gets closer to 1.96.

c). becomes narrower.

d). becomes wider.

Answer:

\( \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} \)

To Find:

Length of hypotenuse of the right triangle i.e. x

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

\( \therefore \)

\( \sf \implies {18}^{2} + {24}^{2} = {x}^{2} \)

Answer:

18²+24²=x²

Step-by-step explanation:

to answer this question you must know Pythagorean theorem

a^ 2+b^2 =c^2

a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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the volume of the prism is 3000 cubic meters

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given a prism, to calculate the volume of the given prism we need to slice it into three pieces

From the general formula of the Volume of the cuboid:

volume = height * base * width

For the first piece:(base one)

Volume = 5 * 15 *20

Volume = 1500 cubic meters

For the second piece: (Left one)

Volume = 10 * 5 *20

Volume = 1000 cubic meters

For the third piece:(right one)

Volume   = 5* 5*20

Volume = 500

thus,

the final value = 500 +1500 + 1000

Volume = 3000 cubic meters

Therefore, the volume of the prism is 3000 cubic meters

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Therefore, the strain tensor at point P is ε = [3.5 × 10⁻⁶î - 3.2 × 10⁻⁶ĵ + 0.4 × 10⁻⁶k]  and the Lame constants are λ = 2 × 10⁵ and μ = 833333.33 N/cm².

The given principal stresses at a point P of a material with elastic behavior (E=2.10⁶N/cm² and v=0.2) are:

\(σ₁ = 8î - 8ĵ + 4kσ₂ = -4î - 2ĵ + 4kσ₃ = î + 2ĵ + 2k.\)

Let us obtain the strain tensor at point P and the Lame constants as follows:

Expression for Lame Constants:

Lame constants are defined as:

\(λ = v(E/(1+v)(1-2v))\)

and

\(μ = E/(2(1+v))\)

Substituting the given values we get:

\(λ = (0.2 × 2 × 10⁶) / (1 + 0.2)(1 - 2 × 0.2)λ = 2 × 10⁵μ = (2 × 10⁶) / (2(1 + 0.2))\)

μ = 833333.33 N/cm²

Expression for Strain Tensor:

The formula for strain tensor is given as:

\(ε = (1 / E) [σ - v (σ.1) I]\)

Where, ε is the strain tensor, E is the Young's modulus of elasticity of the material, σ is the principal stress tensor, v is Poisson's ratio, I is the identity tensor, and σ.1 is the trace of the principal stress tensor.

The identity tensor can be given as:I = [1 0 0; 0 1 0; 0 0 1] and the trace of principal stress tensor σ.1 is:

σ.1 = σ₁ + σ₂ + σ₃

Substituting the given values we get:

\(I = [1 0 0; 0 1 0; 0 0 1]σ.1 = (8î - 8ĵ + 4k) + (-4î - 2ĵ + 4k) + (î + 2ĵ + 2k)σ.1 = 5î - 8ĵ + 10k\)

Substituting the values in the formula for the strain tensor we get:

\(ε = (1 / 2 × 10⁶) [(8î - 8ĵ + 4k) - 0.2 (5î - 8ĵ + 10k) I]ε = (1 / 2 × 10⁶) [(8î - 8ĵ + 4k) - (1î - 1.6ĵ + 3.2k)]ε = (1 / 2 × 10⁶) [7î - 6.4ĵ + 0.8k]ε = [3.5 × 10⁻⁶î - 3.2 × 10⁻⁶ĵ + 0.4 × 10⁻⁶k]\)

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Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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The values of a and b are:

a = 10sin(132-B)/sin(84)

b = 10sin(96-B)/sin(48)

The law of sines, which relates the side lengths of a triangle to the sine of the opposite angles, can be utilized to solve this issue. In particular, for a triangle with sides a, b, and c and inverse points A, B, and C, we have:

a/sin(A) = b/sin(B) = c/sin(C)

let say we have triangle ABC AB=b ,BC = 10  AC =a ,and angle C is 48 degree.

Using this formula, we can find the length of side AC as follows:

a/sin(A) = 10/sin(84) (since angle C is 48 degrees, we know that angle A is 180 - 48 - B = 132 - B degrees)

a = 10*sin(132-B)/sin(84)

To find the length of side AB, we can involve the way that the amount of the points in a triangle is 180 degrees:

A + B + C = 180

B = 180 - A - C = 180 - (132 - B) - 48 = 96 - B

So we know that angle B is 96 - B degrees. Using the law of sines again, we have:

b/sin(B) = 10/sin(48)

b = 10*sin(96-B)/sin(48)

Therefore, the values of a and b are:

a = 10sin(132-B)/sin(84)

b = 10sin(96-B)/sin(48)

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By using the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis, given the functions y = 49 - x^2 and y = 0.The volume of the solid generated by revolving the plane region about the y-axis is 0.

To find the volume of the solid,

we'll use the shell method formula:
V = 2 * pi * ∫[a, b] x * h(x) dx

In this case, a = -7, b = 7 (because x = ±√(49 - y)), and h(x) = 49 - x^2. So the integral becomes:
V = 2 * pi * ∫[-7, 7] x * (49 - x^2) dx

Now, let's evaluate the integral:

1. Expand the integrand:

x * (49 - x^2) = 49x - x^3
2. Find the antiderivative:

∫(49x - x^3) dx = 49x^2/2 - x^4/4 + C

3. Plug in the limits of integration and subtract:

  [(49(7)^2)/2 - (7)^4/4] - [(49(-7)^2)/2 - (-7)^4/4] = [49(49) - 2401/4] - [49(49) - 2401/4] = 0

4. Multiply by the constant

(2 * pi): 2 * pi * 0 = 0

The volume of the solid generated by revolving the plane region about the y-axis is 0.

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Answer:

D

Step-by-step explanation:

The correct answer should have a 63%.

It's probably D. The terminology is a little confusing.

The equation of the output looks like:

-7.611 + .186(x) = y

x --> Arm span

y --> Foot span

The linear relationship is formed with the armspan.

28.75. because if you multiply the 5.75 interest rate by the 5 years you would get 28.75 5years later.

The margin of error if we want a 90% confidence interval for the true population mean age is calculated to be 1.62 years, therefore option (a) is correct.

We can use the formula for the margin of error:

Margin of error = z × (σ / √(n))

where z is the z-score for the desired level of confidence, σ is the population standard deviation, and n is the sample size.

For a 90% confidence interval, the z-score is 1.645. Substituting the given values, we get:

Margin of error = 1.645 × (9.84 / √(100)) = 1.62

Therefore, the margin of error is 1.62 years, which is option (a).

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Mr Palmer should use the coordinate geometry to bury the time capsule  and he should draw a x-axis and y-axis coordinate.

Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, and relationships of objects in space. It involves the study of points, lines, angles, surfaces, and solids, as well as their properties and relationships.

Geometry is divided into two main branches: plane geometry and solid geometry. Plane geometry deals with the study of two-dimensional shapes, such as points, lines, circles, triangles, and polygons. Solid geometry, on the other hand, deals with the study of three-dimensional shapes, such as cubes, spheres, cones, and cylinders.

Geometry has many practical applications in fields such as engineering, architecture, physics, and computer graphics. For example, architects use geometry to design buildings and structures, while engineers use it to design and build machines and structures. In physics, geometry is used to describe the shapes and movements of objects, while computer graphics use geometry to create 3D models and animations.

Geometry also has many theoretical applications. It has been used to solve problems in astronomy, such as determining the size and distance of celestial objects. It has also been used to study the properties of shapes and objects in different dimensions, such as hypercubes and higher-dimensional geometries.

Mr Palmer should use the coordinate geometry to bury the time capsule  and he should draw a x-axis and y-axis coordinate so by using it he not only able to find its location from school only but also from from the playground and basketball courts also he should name it a point P(x,y) final point and also use O(x,y) which is a reference point which can be helpful not only to calculate the distance but also the directions and also distance from the school is 10 yards which can be taken from the reference point.

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The complete question is:

To write an exponential function from a word problem, identify the pattern, determine the initial value, find the growth/decay factor, determine the independent variable, and write the function as y = a * \(b^x.\)

1. Identify the exponential growth or decay pattern: Read the word problem carefully to determine if it describes exponential growth or decay. Look for keywords such as "grows exponentially," "doubles/halves every," or "decays exponentially."

2. Determine the initial value: Identify the starting point or initial value mentioned in the problem. It could be a population size, an initial amount, or any measurable quantity at the beginning.

3. Find the growth/decay factor: Determine the factor by which the initial value increases or decreases over a specific interval. This factor is often given in the problem as a percentage or a rate.

4. Determine the independent variable: Identify the quantity that is changing over time. This could be time itself or any other variable that affects the growth or decay.

5. Write the exponential function: Use the general form of an exponential function, which is y = a * \(b^x\), where 'a' represents the initial value, 'b' is the growth/decay factor, and 'x' is the independent variable. Substitute the values you determined in steps 2-4 into the equation.

6. Simplify and interpret the function: Simplify the equation if possible and interpret the function in the context of the word problem. This involves understanding what the variables represent and how they relate to the situation described. Remember to double-check your work and ensure the function aligns with the problem's details and conditions.

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To write an exponential function from a word problem, follow these steps: identify the exponential growth or decay pattern, determine the initial value and base, write the exponential function using the form y = ab^x, substitute the given values, and simplify if necessary.

To write an exponential function from a word problem, follow these steps:

For example, let's say you have a word problem that describes exponential growth with an initial value of 100 and a growth factor of 1.05. The exponential function would be y = 100 * 1.05^x.

Remember to always carefully analyze the word problem and identify the relevant information to write the correct exponential function.

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Answer:

on what...like brush how do we help u if u don't have a question

Answer:

hope this helps plz mark brainliest

Step-by-step explanation:

Hence Maria does not have enugh money to buy the coat in week 2 of the sale

Normal price of a coat : 65

As in week 1 of the sale = 65 - 20/100 x 65

= 65 - 13 = 52

Also in week 2 of the sale the price of the coat is reduced by a futher 10

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer:

The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.

If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.

So, what are the chances of it not occurring in 1 trip?

1−.37=.63

What about not occurring in 2 trips?

(1−.37)⋅(1−.37)=.63⋅.63=.3969

Now what about not occurring in 4 trips?

.63^4 = 0.15752961

We must subtract this value from 1

(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:

1−0.15752961 = .84247039

TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.

The arc length for a central angle measure of 300° in a circle with radius 5 units is approximately 26.18 units.

To find the arc length, we use the formula:

Arc Length = (Central Angle / 360°) * 2π * Radius

Substituting the given values, we have:

Arc Length = (300° / 360°) * 2π * 5

Simplifying, we get:

Arc Length = (5/6) * 2π * 5

Arc Length = (25/6)π

Converting to a decimal approximation, we get:

Arc Length ≈ 26.18 units

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Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

\(length = 2*\pi*radius\)

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

\(length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124\)

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

\(turns = \frac{1000}{4.7124} = 212.21\)

The wheel completed a total of 212 turns.

Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

Part A. To find the measure of angle JMK, The two known angles in triangle JMK are angles JKL and KML, which measure 55 and 80 degrees, respectively. Therefore, the measure of angle JMK is 180 - 55 - 80 = 45 degrees.

Part B. The sum of the measures of angles JMK and KML is 45 + 80 = 125 degrees.

Part C. To find the measure of angle MKL, we can use the fact that the sum of the angles in a triangle is 180 degrees. The two known angles in triangle KML are angles KLM and KJM, which measure 60 and 55 degrees, respectively. Therefore, the measure of angle MKL is 180 - 60 - 55 = 65 degrees.

Part D. We cannot determine whether triangles JKL and KML are similar based on the given information. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. We only know three of the six angles in the two triangles, and we have no information about their corresponding sides, so we cannot determine if they are similar.

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Part A: To find the measure of angle JMK, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

Since we know that angle JKL measures 85 degrees and angle KML measures 45 degrees, we can find angle JMK by subtracting the sum of these angles from 180 degrees:

JMK = 180 - (85 + 45) = 50 degrees.

Part B: The sum of the measures of angles JMK and KML is simply the sum of the measures of the two angles:

JMK + KML = 50 + 45 = 95 degrees .Part C: To find the measure of angle MKL, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We already know that angles KML and JMK measure 45 degrees and 50 degrees, respectively. So we can find angle MKL by subtracting the sum of these angles from 180 degrees:

MKL = 180 - (45 + 50) = 85 degrees.

Part D: To determine if triangles JKL and KML are similar, we need to compare their corresponding angles. We know that angle JKL is congruent to angle KML since they are both 85 degrees. We also know that angle JMK is congruent to angle KML since we found that angle JMK measures 50 degrees and angle KML measures 45 degrees. However, we cannot conclude that the triangles are similar based on these two angle congruencies alone. We would also need to compare their corresponding side lengths to determine if they are proportional.

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Answer:

12 packs of gum=$3.00

1packs of gum=$3.00/12=$0.25

Answer:

$22

Step-by-step explanation:

There are two lines, which is less than 3, so the total cost is (11)(2) = $22.

The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.

By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:

[1 1 2 -1 | -2]

[0 3 1 2 | 2]

[1 1 0 3 | 2]

[-3 0 1 2 | 5]

First, we'll perform row operations to transform the matrix into the row-echelon form:

R2 = R2 - 3R1

R3 = R3 - R1

R4 = R4 + 3R1

The resulting matrix after these operations is:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | 5]

Next, we'll perform additional row operations to further simplify the matrix:

R4 = R4 - 3R2

The matrix now becomes:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | -19]

Finally, we'll perform the last row operation:

R3 = R3 + 2R2

The matrix is now in row-echelon form:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 0 14 | 20]

[0 3 1 2 | -19]

From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:

3w + z + 2w = -19, which simplifies to 5w + z = -19.

Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.

Lastly, x + y + 2z - w = -2.

At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.

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