Identify the zeros of the graphed function

Answer:

4  3/11

Step-by-step explanation:

Find the function of the first two points

slope = delta y/delta x

slope = y1-y2/x1-x2

slope = (11-(-1))/(-10-1)

slope = 12/-11

Find the y intercept

y=(-12/11)x+b

-1 = (-12/11)*-1+b

-1 = 12/11+b

-23/11=b

y=(-12/11)x-23/11

Plug in x to find y

y=(-12/11)2-23/11

y= 4  3/11

Answer:

14

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The after-school club collected 136 items per day for the food bank.

We'll need to use division to solve this problem.
Identify the total number of items collected (2,720) and the number of days items were collected (20).
Divide the total number of items (2,720) by the number of days (20) to find the number of items collected per day.
2,720 items ÷ 20 days = 136 items
To determine how many items were collected per day, we can divide the total number of items collected (2,720) by the number of days (20):

2,720 ÷ 20 = 136

Therefore, the after-school club collected an average of 136 items per day for 20 days.

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Answer:

The square root of 1/16 is 1/4=0.25

Step-by-step explanation:

The square root of 1/16 is 1/4.

To find the square root of 1/16, you can take the square root of the numerator and the denominator separately.

√(1/16) = √1 / √16

Since the square root of 1 is 1, and the square root of 16 is 4:

√(1/16) = 1/4

So, the square root of 1/16 is 1/4.

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Answer:

The answer is B

Step-by-step explanation:

its because B is the equilateral triangle and they are asking for a prism whose base is an equilateral angle

To find the inverse Laplace transform of the given function x(s) = (s^2 - 2s)/(s(s^2 + 4)), we can break it down into partial fractions:

x(s) = (s^2 - 2s)/(s(s^2 + 4))

    = A/s + (Bs + C)/(s^2 + 4)

To find the constants A, B, and C, we can multiply both sides by the denominator s(s^2 + 4) and equate coefficients:

s^2 - 2s = A(s^2 + 4) + (Bs + C)s

Comparing the coefficients of s^2, s, and the constant terms, we get:

A = 1

B = -2

C = 0

Now, using inverse Laplace transforms tables or software like MATLAB, we can find the inverse transforms of each term:

Inverse Laplace transform of A/s: A = 1, so this term becomes 1.

Inverse Laplace transform of (Bs + C)/(s^2 + 4): B = -2, C = 0. Applying the inverse Laplace transform, this term becomes -2cos(2t).

Therefore, the inverse Laplace transform of x(s) is x(t) = 1 - 2cos(2t).

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Answer:

Step-by-step explanation:

Jackie   you should know that  the supplemental angles always add to 180°  :)

That's like angles  1 & 2  or   55° & 1  .  both are supplemental and add to 180°

Knowing this should make answering this pretty easy. :)

180 = ∠1 + 55

125 = ∠1

∠3 =∠1

∠2 = 55°

since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?

Answer:

6 Classes

Step-by-step explanation:

500 Students =25 Class

1 class= 500/25

=20

120 students = 120/20

=6

Hope it helps you

Answer:

6

Step-by-step explanation: i think its right

Answer:

Step-by-step explanation:

1.1(1.8)(2.5)=4.95

The value of x from the triangle inscribed in the circle which is the unknown angle is 22°

For a given triangle inscribed in a circle, it should be noted that the angle that is inscribed along the diameter of the circle will be regarded as the right angle.

This means that the angle facing the diameter line (C), i.e angle c is 90 degrees. We all know that the sum of angles in a triangle is 180 degrees. Therefore, to find the third unknown angle x, we have:

x  + 68° + 90° = 180°

x + 158° = 180°

x = 180° - 158°

x = 22°

Therefore, we can conclude that the value of x which is the unknown angle is 22°

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer: A

Step-by-step explanation:

\(\pi > 3 \implies 5\pi > 15\)

Answer:

Yes; the equation and the problem do match.

Step-by-step explanation:

Answer: The area of a polygon is defined as the area that is enclosed by the boundary of the polygon. In other words, we say that the region that is occupied by any polygon gives its area.

Step-by-step explanation:

Answer:

8. 7

9. 9

Step-by-step explanation:

27/12 times 4 is 9, 9-2 is 7

3x-18=x

2x=18

x=9

The most reasonable value of n  n = -2.

We have given that the length of the football field = 300 feet

It can also be expressed as approximately  \(5.7\times 10^{n}miles\)

Also, 1 mile = 5280 feet....(1)

We have to find 1 feet so divide both side of equation (1)by by 5280 we get,

\(1feet=\frac{1}{5280}\)

Now, for 300 feet is,

\(300feet=\frac{1}{5280}(300)\)

\(300 feet=0.056818181=0.057miles\)

In scientific notation we have,

\(300 feet=5.7\times 10^{-2}miles\)

Therefore we get  n = -2.

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The probability that at least one individual does not develop hypertension is:

P(at least one does not develop hypertension) = 1 - P(all four develop hypertension)

= 1 - p^4

This gives us the probability of interest.

To determine the probability that at least one of the four individuals does not develop hypertension when another four individuals are randomly chosen from the study, we need to consider the complementary probability.

Let's calculate the probability that all four individuals develop hypertension, and then subtract this probability from 1 to find the probability that at least one individual does not develop hypertension.

Assuming the probability of an individual developing hypertension is p (based on the previous study), the probability that a randomly chosen individual does not develop hypertension is 1 - p.

The probability that all four individuals chosen develop hypertension is:

P(all four develop hypertension) = p * p * p * p = p^4

Therefore, the probability that at least one individual does not develop hypertension is:

P(at least one does not develop hypertension) = 1 - P(all four develop hypertension)

= 1 - p^4

This gives us the probability of interest.

Keep in mind that we would need to know the specific value of p, which represents the probability of an individual developing hypertension, in order to calculate the exact probability.

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Answer:

12 tiles

Step-by-step explanation:

Find the diagram to the question attached below.

First we need to get the area of the whole counter as shown in the diagram.

Since the shape is made up of two rectangles, we will take the sum of their areas.

Area of a rectangle = Length × Breadth

Area of the counter = (2×4)+(2×5)

Area of the counter = 8+10

Area of the counter = 18ft²

If each sheet of tile will cover 1.5 ft², the amount of tiles needed to cover the whole counter = Area of the counter/Area of each sheet

= 18ft²/1.5ft²

= 12 tiles

Answer:

I say A or B but in favor A

Step-by-step explanation:

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer:

24 meters

Step-by-step explanation:

Just did it on IXL

Answer:

9

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

4 + 9(2)/3 - 1

Step 2: Multiply

4 + 18/3 - 1

Step 3: Divide

4 + 6 - 1

Step 4: Add

10 - 1

Step 5: Subtract

9

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65

(a) Both particles have the same value of k_B T.

(b) The smaller particle has a greater value of γ.

(c) The smaller particle has a greater value of D.

a) To show γD = k_B T, we start with the given relations:

⟨v0,x^2⟩ = (Δt/L)^2

γ = Δt/(2m)

D = (2Δt)/(L^2)

Substituting the expression for γ into the equation for D:

D = (2Δt)/(L^2) = (2Δt)/(L^2) * Δt/(2m) = (Δt^2)/(mL^2) = γ^2/m

Now, multiplying γ and D:

γD = γ * D = γ^2/m = (Δt/(2m))^2/m = Δt^2/(4m^2) = (1/4m) * (Δt^2/m) = (1/4m) * γ = (1/4m) * (Δt/(2m)) = (k_B T)/(4m)

Since k_B T is the average kinetic energy per degree of freedom and (1/4m) is the average kinetic energy per particle, we can equate γD and k_B T:

γD = k_B T

b) The dependence of γD on m is 1/m. As we can see from the equation γD = (k_B T)/(4m), as the mass (m) increases, the value of γD decreases.

c) When comparing two spherical particles in the same solution:

Greater value of k_B T: Both particles will have the same value of k_B T since it depends on temperature (T) and is independent of the size or mass of the particles.

Greater value of γ: The smaller particle will have a greater value of γ. As γ = Δt/(2m), since the mass of the smaller particle is smaller, the value of γ will be greater.

Greater value of D: The smaller particle will have a greater value of D. As D = (2Δt)/(L^2), since the time between collisions (Δt) will be smaller for the smaller particle due to its faster movement, the value of D will be greater.

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The correct correlation coefficient is r = 0.8568.

The output of a linear regression includes several statistics, including the slope of the line (b), the y-intercept (a), the coefficient of determination (r^2), and the correlation coefficient (r). In this case, the given output shows that the slope is 0.5748 and the y-intercept is 9.1828. The coefficient of determination (r^2) is 0.7341, which means that 73.41% of the variation in the dependent variable (y) can be explained by the independent variable (x). The correlation coefficient (r) is 0.8568, which indicates a strong positive correlation between x and y.

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Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

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Step-by-step explanation:

The ratio of employees who have children studying in grade school to employees who have no children is 3 : 1

Ratio:

Basically, the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one is known as ratio.

Given,

30 employees have children studying in grade school, and 10 employees have no children at all.

Here we need to find the ratio of employees who have children studying in grade school to employees who have no children.

While we looking into the given question,  we have identified the following things,

Number of employees whose children studying in grade school = 30

Number of employees whose has no children = 10

So, based on the definition of ratio it can be written as,

=> 30/10

When we simplify this one then we get,

=> 3/1

So, the resulting ratio is 3 : 1.

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