Write an equation in standard form for the line that passes through the given points.
(5,-2) and (5,3)
The equation of the line in standard form is
(Type your answer in standard form.)

Answer:

3

Step-by-step explanation:

The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3

Answer:

= 3.66

Step-by-step explanation:

there you go have a good day

£432.75 to 2 significant figure, is 4.3275*10²  

The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.

Given a term £432.75

Rounding £432.75 to 2 significant figure, we get,

432.75 = 4.3275*10²

Hence, 432.75 to 2 significant figure, is 4.3275*10²

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When distance is halved, force increases by 4 times.

What is gravitational force?

Each body in the universe attracts other bodies towards itself with a force known as Gravitational Force

According to Newton’s law of gravitation, “Every particle in universe attracts every other particle with a force whose magnitude is,

On combining these equations, we get

F = G × [M1M2]/r²

F ∝ M1M2/r²

Now , r' = r/2 ( given)

so, F' ∝ (m1m2) / (r/2)²

F' ∝(4 m1m2) / r²

Thus F' = 4×F

So, we can conclude that, when distance is halved, force increases by 4 times.

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Answer:

false

Step-by-step explanation:

not 100% certain though

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:

8 11/100

Step-by-step explanation:

8.11 is the same thing as 8 whole numbers and since the .11 is in the hundreths place, it becomes 11/100.

Answer:

A.

Step-by-step explanation:

To find the inverse of a function, first make f(x) a y

So,

y = \(\frac{12}{x}\) -18

Then switch the x and the y

x = \(\frac{12}{y}\) - 18

Solve, for y

The answer is D. 95th percentile is not needed for constructing a box-plot.

A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset. It consists of several key measures, including the following:

A. First quartile (Q1): This is the 25th percentile, which marks the lower boundary of the box.

B. 50th percentile: This is the median, which is the middle value of the dataset when it is ordered from smallest to largest. It is represented by a line within the box.

C. 75th percentile (Q3): This is the upper quartile, marking the upper boundary of the box.

D. 95th percentile: This measure is not typically used in constructing a box plot. It provides information about the value below which 95% of the data falls, but it is not necessary for constructing the basic elements of a box plot.

Therefore, the correct answer is D. 95th percentile.

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The value of dy/d in this case represents the rate of change in the monthly budget required to maintain a constant production level of CDs.

When w100 and y 120,000, dy/d can be computed by taking the partial derivative of the given equation with respect to y: dy/d = -0.64/x. Plugging in the given values, we get dy/d = -0.0064.

1. If the monthly budget is increased by $1, Snappy Hardware can manufacture 0.0064 fewer CDs per hour while maintaining the same number of workers.

2. If the number of workers is increased by 1, Snappy Hardware can manufacture an additional 0.0064 CDs per hour while maintaining the same monthly budget.

3. If Snappy Hardware wants to maintain a constant production level of CDs, they need to decrease their monthly budget by $156,250 for every 10,000 CDs they want to produce per hour.

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Answer:

s = 21 cm

Step-by-step explanation:

Square is s x s = area

So you just take the square root button of the calculator to find that 21 x 21 is 441.

Answer:

21

Step-by-step explanation:

Area of Square formula: side x side

s^2=441

square root both sides:

s=√441=21

To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.

To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.

Let's start by checking if x = 1 is a factor of the expression:

    1 | 12 - 4 - 1
      |     12   8
      |____________
       12   8   7

Since the remainder is not zero, x = 1 is not a factor of the expression.

Next, let's check if x = -1 is a factor of the expression:

   -1 | 12 - 4 - 1
      |    -12  16
      |____________
       12 -16  15

Again, the remainder is not zero, so x = -1 is not a factor of the expression.

Now, let's check if x = 2 is a factor of the expression:

    2 | 12 - 4 - 1
      |     24 40
      |____________
       12  20 39

Once again, the remainder is not zero, so x = 2 is not a factor of the expression.

Finally, let's check if x = -2 is a factor of the expression:

   -2 | 12 - 4 - 1
      |    -24 56
      |____________
       12 -28 55

As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.

After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.

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Answer:

Step-by-step explanation:

The loop will run an infinite number of times

6 ÷ 3 = 2

2k - 6 = 2

2k = 8

k = 4

Reply = 4

I will be glad if you like it and choose the best :)

Therefore, the length of the circle's radius is approximately 3.6923 centimeters.

To find the length of the circle's radius, we can use the formula relating the length of an arc to the radius and the measure of the corresponding central angle.

The formula is given by:

Length of arc = radius * (angle in radians)

In this case, the length of the arc is given as (26/9)π centimeters and the measure of the central angle is 65 degrees.

First, we need to convert the angle from degrees to radians. Since 180 degrees is equal to π radians, we have:

65 degrees = (65/180)π radians

Now we can substitute the given values into the formula:

(26/9)π = radius * (65/180)π

We can simplify the equation by canceling out the π terms:

26/9 = radius * (65/180)

To solve for the radius, we can isolate it by dividing both sides of the equation by (65/180):

radius = (26/9) / (65/180)

Simplifying the right side of the equation:

radius = (26/9) * (180/65)

Calculating the value:

radius ≈ 3.6923 cm

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The Total height of skyscraper from ground is; 118.25 m

The formula to use tangent as trigonometric ratio is;

tan θ = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Since the horizontal distance between Hannah's eyes and the sky scrapper is 194 meters while the angle between the eye and the top of the sky scrapper is 31°. Therefore, the vertical height of the sky scrapper from the height of Hannah's eye level, using the tangent function can be written as;

tan 31 = height of skyscraper from eye level/194

height of skyscraper from eye level = 116.57 m

Total height of skyscraper from ground = 116.57 m + 1.68 m

= 118.25 meters

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Answer:

I am pretty confident that the answer is the last one

Step-by-step explanation:

I'm not really sure how to explain though lol.

Hope  this helps!

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

none of the others match to the red triangle

Answer:

For the question below, you will need to find the GCF of 45 and 60. In this instance it is 5, so it will be outside the box. The GCF answers will be inside the parenthesis, which is 7 and 12.

45x + 60 = 5(7x + 12)

In this question you have to multiply 2 with every number inside the parenthesis. So 2 × 10x and 2 × 4.

2(10x+4) = 20x + 8

Hope this helped.

The total number of tickets bought is 6 and the number of coach tickets bought is 4 while the number of first class tickets bought is 2

We are told that a total of 6 people took the trip. If x is the coach tickets and y is the first class tickets and she bought tickets for 6 of them, then we can say that;

x + y = 6    ------(1)

Now, coach tickets cost $270 and first class tickets costs $1250. She used her total budget for airfare for the trip, which was $3580. Thus;

270x + 1250y = 3580    ----(2)

Solving both equations simultaneously gives;

x = 4 and y = 2

Thus, we conclude that the number of coach tickets bought is 4 while the number of first class tickets bought is 2.

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Answer:

A. 17.35 mm³

Step-by-step explanation:

Volume of a Pyramid

\(V = \frac{1}{3}Bh\)

V ... volume

B ... area of base

h ... height

The base of this pyramid is a square. Area of a square is side times side.

\(B = 3.5 \times 3.5\)

Let's substitute in the formula.

\(V = \frac{1}{3}Bh\\\\V = \frac{1}{3}(3.5\times 3.5)(4.25)\\\\V = \frac{1}{3}(12.25)(4.25)\\\\V \approx 17.35417 \text{ mm}^3\)

Now let's round to the nearest hundredth.

V = 17.35 mm³

Answer:

The simplest form is D) 5:2

Answer: 5:2

Step-by-step explanation:

HAVE A GOOD DAY!!!!!!

Answer:

q - 8

Step-by-step explanation:

q - 8

Answer:

q=0

Step-by-step explanation:

A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).

Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.

The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.

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