Given the following practical problem, what is the slope of the linear function?

Homer walked to school every day. He walked at a pace of 4 miles per hour

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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D: 630

hehe youre welcome^^

Answer:

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Step-by-step explanation:

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Given that, n and m are two integers such that (n, m) = 1. We need to prove that nZ ∩ mZ = nmZ. Here, nZ is the set of all integer multiples of n and mZ is the set of all integer multiples of m. In order to prove this, let's take two cases. Case 1: Let d be any element of nZ ∩ mZ. By definition of intersection, d∈nZ and d∈mZ. This means that there exist integers k and l such that d = nk and d = ml. From this we get, n | d and m | d i.e., d is a multiple of both n and m. Let g = (n, m). Then n = gx and m = gy for some integers x and y. Since (n, m) = 1, we have g = 1.Thus, we get d = nk = g(xk) and d = ml = g(yl). This gives us, d = g(xk) = g(yl)Now, we know that g divides d. Hence, g divides d/g. Thus, d/g is a common multiple of n and m. Since g = 1, we get d/g is a common multiple of n and m where (n, m) = 1.Thus, d/g must be a multiple of nm. Let's say d/g = hnm for some integer h. Then, d = (g/h)nm is a multiple of nm. This gives us d∈nmZ. Now, we have proved that nZ ∩ mZ is a subset of nmZ. Case 2: Let d be any element of nmZ. By definition, d = nma for some integer a. This means that d is a multiple of n and also of m. Thus, we get d∈nZ and d∈mZ. So, we have proved that nmZ is a subset of nZ ∩ mZ. Now, we can say that nZ ∩ mZ = nmZ. Therefore, it is proved.

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Answer:

A.30

Step-by-step explanation:

^ABC = 180⁰-60⁰=120⁰

=> 4x⁰=120⁰

=> x = 30⁰

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

A. is the correct answer and I know that because I just had this question.

Step-by-step explanation:

The best sentence to describe the function is The accuracy of shots has declined slightly since 1991. Hence the correct option is (A).

What is a graph?

The graph is a geometrical representation of any changes whether it is on data or a function that is changing with respect to the other data.

For example, if we take y = sinx then here x is independent and y is dependent.

Here y is changing with respect to the x so if you draw a geometrical representation then it will become a graph where something is changing and something is not.

Given that data

28.0 0.355

29.8 0.354

33.0 0.345

34.3 0.345

34.0 0.341

From this data, it's clear that it is going to decrease year by year.

So the accuracy of shots has declined slightly since 1991 will be correct.

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Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.

The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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Answer:  The large ____ holds 48 units.

For the diagram you could draw the small rectangle 4 squares wide and 9 squares long. that will represent something that holds 36 units.

For the large one make it 4 squares wide and 12 squares long. That will have spaces for 48 units.

Step-by-step explanation: Change the percent to a decimal and set up the equation that means 36 is 75% of some number, yet unknown, X is the unknown number.

36 = .75x  divide both sides by .75  

36/.75 = .75x/.75 . The .75 "cancels" on the right. Then use a calculator.

36 ÷ .75 = 48

x = 48

The probability that either event will occur is 0.83

From the question, we have the following parameters that can be used in our computation:

Event A = 18

Event B = 12

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

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Answer:

5*jjjjjjjjkkkkkkkkkk

With regards to the probabilities of getting each color in the game played by Larry and Jessica, the correct answer is B. No, the probabilities are NOT equally likely.

In the game being played by Larry and Jessica, the colors that can be picked by either person include:

The probability of picking blue is:

= Number of blue sections / Total sections

= 3 / 8

The probability of picking red is :

= 3 / 8

The probability of picking green is:

= 2 / 8

= 1 / 4

The probabilities are therefore not equally likely.

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Answer:

108

Step-by-step explanation:

9 x 12 = 108

Check

108 / 12 = 9

108/9 = 12

500,000 creo yo no sé puede ser

Answer:

.166 gallons per day

Step-by-step explanation:

take the half gallon and divide it by the number of days it takes to consume

.5/3=.166

Answer:

1/6

Step-by-step explanation:

Find the rate in gallons per day. Divide

1

2

of a gallon by 3 days.

To divide by 3, multiply by its reciprocal,

1

3

.

1

2

÷3

=

1

2

1

3

=

1

6

The Rudd family drinks milk at a rate of

1

6

of a gallon per day.

Answer:

The answer to your question is 44 degrees.  

Step-by-step explanation:

The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

What is the right triangle is triangle?

A right triangle is a triangle in which one angle measures 90 degrees. The sides of a right triangle can be used to determine if a triangle is a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using this information, we can determine which of the given sets of side measures could form a right triangle:

A. 61 m, 60 m, 11 m: We can use the Pythagorean theorem to see if these sides could form a right triangle. We'll let the hypotenuse be the side with a length of 61 m, and the other two sides are the ones with lengths of 60 m and 11 m. Plugging these values into the Pythagorean theorem, we get:

(61 m)² = (60 m)² + (11 m)²

61² = 60² + 11²

61² ≠ 60² + 11²

Since the left side does not equal the right side, these sides cannot form a right triangle.

B. 24 in, 34 in, 28 in: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(34 in)² = (24 in)² + (28 in)²

34² = 24² + 28²

34² = 24² + 28²

The left side equals the right side, so these sides could form a right triangle.

C. 55 ft, 45 ft, 35 ft: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(55 ft)² = (45 ft)² + (35 ft)²

55² = 45² + 35²

55² = 45² + 35²

The left side equals the right side, so these sides could form a right triangle.

D. 48 cm, 46 cm, 15 cm: Using the Pythagorean theorem, we can see that these sides could not form a right triangle:

(48 cm)² ≠ (46 cm)² + (15 cm)²

48² ≠ 46² + 15²

Since the left side does not equal the right side, these sides cannot form a right triangle.

Hence, The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

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The rate at which the area of the square is 128 cm^2/s.

How to find the area of the square?

Let's denote the length of each side of the square as "x" and the area of the square as "A".

We are given that dx/dt = 8 cm/s, which means that the rate of change of each side with respect to time is 8 cm/s.

We can write the formula for the area of the square as A = x^2.

To find the rate of change of the area with respect to time, we can apply the chain rule of differentiation:

dA/dt = d/dt (x^2) = 2x (dx/dt)

At the moment when the area of the square is 64 cm^2, we know that A = 64.

To find the rate of change of the area at this moment, we need to find the value of x at this moment.

A = x^2, so 64 = x^2. Taking the square root of both sides, we get x = 8 cm.

Now we can plug in the values of x and dx/dt into the formula we derived earlier:

dA/dt = 2x (dx/dt) = 2(8 cm) (8 cm/s) = 128 cm^2/s

Therefore, the rate at which the area of the square is increasing when the area of the square is 64 cm^2 is 128 cm^2/s.

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Thus, the coordinates of Y and Z after the translation is obtained as :

Y'(-2,4) and Z'(-4, 3).

A figure is translated when it is moved from one point to another without changing in size, form, or rotation.

Given translation:

Point X(1,4) --->  point X'(0,6)

There is 1 unit shift to left as 1 is subtracted to x coordinate to get 0.

There is 2 unit shift to upward as 2 is added to y coordinate to get 6..

Translation:

(x,y) --->(x - 1, y + 2)

Applying same on points Y and Z,

Y(-1,2)  --> Y'(-2,4)

Z(-3,1)  --> Z'(-4, 3)

Thus, the coordinates of Y and Z after the translation is obtained as :

Y'(-2,4) and Z'(-4, 3).

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The slope intercept form of the equation is y = -3x - 20.

Slope intercept form

The standard form of the slope intercept equation is

y=mx + c

y = y coordinate

m = slope

x = x coordinate

c = y intercept

Given,

Here we have the graph. And through the graph we have to identify the equation in slope intercept form.

To identify the slope intercept form equation, then we have to find two things from the given graph.

They are,

1) slope

2) intercept.

Slope is identified by simply select any two points of the line and use the formula in order to find the slope of the line.

Here we take the points (-6,-2) and (-5, -5)

When we apply the value on the formula, then we get,

m = (-5-(-2))/(-5-(-6))

m = -3/1

Therefore, the slope of the line is -3.

Now, we have to calculate the intercept by using the point (-6,-2) and the slope value,

Thus,

-2 = -3(-6) + c

-2 = 18 +c

c = -20

Therefore, when we apply these known value on the slope intercept form equation, then we get the equation as,

y = -3x - 20.

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Answer:

the ball reaches a height of 64 feet after 2 sec.

The ball is in the air 4 sec.

Step-by-step explanation:

The ball is following the path of a parabola.  The maximum height is at the vertex of the parabola.

Let (h, k) be the vertex.  h will be the time it takes to reach the maximum height, and k will be that height.

y = \(-16t^{2} + 64t\)

h = -b/2a = 64/(-2)(-16) = 64/32 = 2

k = -16(2)^2 + 64(2)

     -16(4) + 128

     - 64 + 128 = 64

V:  (2, 64)

So the ball reaches a height of 64 feet after 2 sec.

Let \(-16t^{2} + 64t\) = 0       (0 is the height when the balls hits the ground)

-16t(t - 4) = 0

t = 0  or t = 4

The ball is in the air 4 sec.

Answer:

There's nothing that can be done with the given information

Step-by-step explanation:

The Laplace transformation in the given function is = 5 - 8e⁻⁷ˣ/ x

Rewrite f in terms of the unit step function:

f(t) = { y = 5 for 0 ≤ t ≤ 7

    = { x = - 3 t > 7

f(t) = 5{u(t) -u(t -7) - 3u (t -7)}

     = 5u(t) - 8u (t-7)

Recall the time-shifting property of the Laplace transform:

L I u(t - c)f(t -c) I

= e⁻ᵃˣ L[f(t)]

and the Laplace transform of a constant function,

L(K) = k/a

So we have

L{f(t)} = 5u(t) - 8u (t-7)

       = 5 L[1] - 8e⁻⁷ˣ

       = 5 - 8e⁻⁷ˣ/ x

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The given question is incomplete, the complete question is below

Write the following function using unit step functions and then find its Laplace transform:

f(t) = { y = 5 for 0 ≤ t ≤ 7

    = { x = - 3 t > 7

Answer:

2,4

Step-by-step explanation:

add and divide by 2

...........

Answer:

-------------------

Given points P(2, 6) and Q(2, 2).

Find the coordinates of the midpoint M(x, y), using the midpoint equation: