Find the slope of the line that passes through the following points: (-4,-2) and (-3,5)

If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.

The energy an item has as a result of motion is known as kinetic energy in mechanics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its propulsion until its speed changes.

The kinetic energy is given as,

KE = (mv²)/2

Where m is the mass and v is the velocity.

Shawn and his bike have a total mass of 48.1 kg. Shawn rides his bike 1.5 km in 12.5 min at a constant velocity.

The velocity is given as,

v = 1.5/12.5

v = 0.12 km/min

v = 0.12 x 1000 / 60

v = 2 m/s

Then the kinetic energy of Shawn will be given as,

KE = (48.1 x 2²) / 2

KE = 48.1 x 2

KE = 96.2 J

If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.

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Answer:

ewan ko po pero yan yung alam ko4.3%

I hope its help

Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x

Step-by-step explanation:

a)

12 +15 = 3 *9

27= 27

1

B) 15=15

=1

c) 3*20=12*5

60=60

=1

d)  4=4

=1

1. Bob's accounting profit is $25,000.

2. Bob's economic loss is $25,000.

3. The implicit cost in this example is the teacher's salary of $50,000 Bob could have got, working as a teacher.

Explicit cost refers to the accounting cost that a business incurs.

Explicit cost is different from implicit cost because implicit cost involves an opportunity cost.

Accounting profit is the difference between total revenue and explicit cost.

Economic profit is the difference between accounting profit and opportunity cost or the cost of forgone alternatives.

Salary as a teacher = $50,000

Explicit restaurant cost = $500,000

Revenue = $525,000

Accounting profit = $25,000 ($525,000 - $500,000)

Economic loss = -$25,000 ($525,000 - $500,000 - $50,000)

Thus, whereas Bob makes an accounting profit of $25,000, he actually incurs an economic loss of $25,000 by forgoing his teacher's salary.

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2(5 + X) - 1 = 3X + 9

Step 1: Expand the terms in the bracket

=> 2 x 5 + 2 x X - 1 = 3X + 9

=> 10 + 2X - 1 = 3X + 9

Step 2: collect like terms

=> 2X - 3X = -10 + 1 + 9

=> -X = 0

The equation of the table in slope intercept form is y = - 5 / 2x - 1

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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The time for the two vehicle will meet is 0.4 hours .

According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.

The distance apart of the cars is 34 miles.

Speed is measured as the ratio of distance to the time in which the distance was covered.  

In other words, speed is the distance travelled per unit of time.

speed = distance / time

Therefore,

distance = speed × time

Hence,

let

x = time use by the car

Therefore, the total distance can be express as follows:

55x + 30x = 34

85x = 34

divide both sides by 85

85x / 85 = 34 / 85

x = 0.4 hours.

Therefore, it will take 0.4 hours for the cars to meet.

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The number of soda bottles = 4

The number of sugar bottles = 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Weight of each bottle of soda = 45 grams

Weight of each bottle of sugar = 15 grams

Total weight of sugar and soda = 285 grams

Let the number of soda bottle = x

And, The number of sugar bottle = y

Since, Total number of bottles = 11

So, We can formulate;

⇒ x + y = 11    .... (i)

And, Weight of each bottle of soda = 45 grams

Weight of each bottle of sugar = 15 grams

Total weight of sugar and soda = 285 grams

So, We can formulate;

⇒ 45x + 15y = 285   ... (ii)

Multiply by 15 in equation (i) and subtract from (ii), we get;

⇒ 45x + 15y - 15x - 15y = 285 - 165

⇒ 30x = 120

Divide by 30;

⇒ x = 4

Hence,  x + y = 11    

4 + y = 11

y = 11 - 4

y = 7

So, The number of soda bottles = 4

The number of sugar bottles = 7.

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The result of the algebraic expression is 5x - 2y - 10.

Algebraic Expression:

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

Given,

Here we have the expression 2+4x-12-2y+1x.

Here we have to solve this expression and we have also find simplified form of it.

In order to solve it,

First we have to write the given expression,

=> 2+4x-12-2y+1x

Now, we have to combine the like terms, then we get,

=> (4x + 1x) + (2 - 12) - 2y.

Now, we have to perform the appropriate operation on it,

Then it can be written as,

=> 5x + (-10) - 2y

Now we have to write the equation in the standard form, then we get the result as,

=> 5x - 2y - 10.

Therefore, the resulting standard form of the equation is 5x - 2y - 10.

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Answer:

3.525/0.25=14.1

Step-by-step explanation:

Answer: 14.1

Step-by-step explanation:

3.525/0.25 = 14.1

Since "quotient" just means the result of two numbers being divided together. Therefore we would divide the two numbers you just gave.

Answer:

Step-by-step explanation:

1.34(b + 2) = 9.38
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex]
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex] x [tex]\frac{100}{100}[/tex]
=>  b+2  = 7
=> b = 7-2
=> b = 5

To solve the equation, we must subject b
so as 1.34 is in multiplication form with (b+2), if we take it to the other side of equals sign, it will be inverse which means it will be dividing 9.38

by multiplying 100/100 with the fraction, the  decimals can be removed (100 because the dot of decimal is considered one and there are two digits after dot, so two zeroes)
then by simple division we can find 7
then as 2 is added with be if it goes to other side it will be inverted and be subtracted from 7
so we get 5

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height

V1=LWH= 32

Ex

2*4*4=32

Let's multiply all dimension by 2

4 * 8 * 8 =256

Answer:B. The volume is multiplied by 8.

Given data:

The given graph of the polynomial.

The value of the given polynomial is zero, at x=-3, -1, and 3.

Substitute -3 for x in the expression of the first polynomial.

Substitute -1 for x in the expression of the first polynomial.

Substitute 3 for x in the expression of the first polynomial.

As all the points are satisfied for the first option.

TThus, the first option is correct.

Answer:the answer is a

Step-by-step explanation:

Answer:

the mean is 12

Step-by-step explanation:

a mean is a set of numbers of two or more numbers

so becuase 12 repeats there, its your mean

The linear function will be;

⇒ y = - 4x + 5

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The functions are,

1. y = - 3x² + 2

2. y = 2x²

3. y = - 4x + 5

4. y = x³

Now,

Since, The linear function has a variable raised to the first power.

Clearly, In first equation;

The highest power of the variable is 2.

So, It is not a linear function.

Clearly, In second equation;

The highest power of the variable is 2

So, It is not a linear function.

Clearly, In third equation;

The highest power of the variable is 1.

So, It is a linear function.

Clearly, In fourth equation;

The highest power of the variable has power 3.

So, It is not a linear function.

Therefore, The linear function will be;

⇒ y = - 4x + 5

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Answer:

30 units

Step-by-step explanation:

point D is the midpoint of the bottom line, and we can infer 2 similar triangles from the markings on the triangle,

15  × 2  =ab

as CD is in the middle of the large triangle, the scale factor from the small triangle to the large triangle is 2.

Answer:

26 pens

Step-by-step explanation:

Let P and R be the numbers of Pens and Rulers Saj purchases.

The cost of P Pens and R Rulers:

Pens = P(20p)

Rulers = R(60p)

P(20p) + R(60p) = £10

P(0.20) + R(0.60) = 10

R = 8

P(0.20) + (8)*(0.60) = 10

P(0.20) + 4.8= 10

P(0.20) = 5.2

P = (5.2/0.20)

P = 26 pens

CHECK:

8 Rulers = 8*(60p) = 480p

26 Pens = 26*(20p) = 520p

Total = £10

Answer:

Step-by-step explanation:

if a word ends in a consonant plus "y" , we change "y" to "i" and add "es" to form the plural; "er" for comparative and "est" for superlative

noisiest and noisier

Answer:

Step-by-step explanation:

5

Answer:

Part A:

Part B:

Step-by-step explanation:

Part A:

Remember that two parallel lines have the same slope. This way, we can conclude that the slope of this particular line is:

Since we already know that this line passes through point (2,6), we can use this point, the slope we've found and the slope-point form to get an equation for the line:

Therefore, we can conclude that the equation of this line is:

Part B:

Remember that the product between the slopes of two perpendicular lines is -1. This way, we'll have that:

Since we already know that this line passes through point (2,6), we can use this point, the slope we've found and the slope-point form to get an equation for the line:

Therefore, we can conclude that the equation of this line is:

The most appropriate choice for linear equation will be given by -

The integers are 26, 28, 30

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Let the integers be x - 2, x, x + 2

Sum = x - 2  + x + x + 2 = 3x

20 less than Four times the first = 4(x - 2) - 20

By the problem,

[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]

The integers are 28 - 2, 28,  28 + 2

The integers are 26, 28, 30

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The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is  0.26724 or 26.724%

Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85

The probability that the first productive well is found on the third attempt is when outcomes are independent

P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375

We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85

We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p

Then corresponding probabilities are added

p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276

Using the complement rule:

p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %

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Answer:

-7, -6, -4, -2, 7

Step-by-step explanation:

f(-4) = -4 - 3

f(-4) = -7

f(-3) = -3 - 3

f(-3) = -6

f(-1) = -1 - 3

f(-1) = -4

f(1) = 1 - 3

f(1) = -2

f(10) = 10 - 3

f(10) = 7

Answer:

Step-by-step explanation:

A triangle is 180°

One angle is a right angle = 90°

And one is an acute angle of 27°

So 90+27= 117

You subtract 180 with 117 to get the answer of

X= 63°

Answer:

C. The volume is 1/8 the original volume

Explanation:

Step 1. To find how the volume changes if the diameter is reduced to one-half of the original size, we will test two scenarios:

• In the first scenario, the diameter will be 2, and in the second scenario, the diameter will be one-half of 2 which is 1.

We will find the volume for these two cases and see how it changes.

Step 2. For a diameter of d=2.

If the diameter is 2, the radius is:

Using the volume formula for a sphere:

In this case:

We will call this volume, V1:

Step 3. Now we will find the volume for the second case in which the diameter is d=1.

The radius is:

Using the same formula for the volume:

Solving the operations:

We will call this V2:

Step 4. As you can see, the first part of the previous expression is V1:

Therefore:

The second volume is the first volume multiplyed by 1/8 ⇒ it is 1/8 of the original volume.

Answer:

C. The volume is 1/8 the original volume

Given the expression:

We start from the parenthesis inside the brackets. We know that 3-2=1, then:

now, we have that 10^2=100 and 2*11 =22, then:

therefore, the result of simplifying the expression is 78

Answer:

(a)

[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]

(b)

[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]

(c)

[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]

Probability of proportion will be greater than 3.18

Probability of Proportion: Probability represents the chances of some event happening. It is theoretical. Proportion summarizes how frequently some event actually happened

Population Proportion, p=0.52

sample proportion p'=0.45

sample size be n =436

probability of proportion will be greater than 52%

[tex]p(p' > 0.45)=p(p'-p\sqrt{p(1-p)/n} )[/tex]

[tex]=-p(z > (0.45-0.52)/\sqrt{0.52((1-0.52)/436}[/tex]

=P(z>-3.18)

probability of proportion will be greater than 3.18

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