A line passes through the point (0, -1) and has a positive slope. Which of these points could that line pass through?
Check all that apply.
(12,3)
(-2,-5)
(-3,1)
(1.15)
(5,-2)

Answer:

999

Step-by-step explanation:

Line A: 376

Line C: 376 + 178

Bus: 69

Total: 376 + 376 + 178 + 69 = 999

Answer: 999

Answer:

12) y=25x

13) 14 gallons

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m= (75-50)/(3-2)

m=25/1=25

y-y1=m(x-x1)

y-75=25(x-3)

y-75=25x-75

y=25x

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

350=25x

x=350/25

x=14

Answer: The answer is 3 3/4

I hope this helps

Step-by-step explanation:

Answer:

(B) Between 6 and 9 minutes, Sameen's distance from work is decreasing

Step-by-step explanation:

Looking at the graph, we want to make sure we are looking at the right axis.

The x-axis, the horizontal one, is minutes.

The y-axis, the vertical one, is distance from work.

We can see that while x is between 6 and 9 minutes, the graph slopes downwards. This signifies a decrease in distance from work.

So between 6 and 9 minutes, Sameen's distance from work is decreasing.

Hope this helped!

Answer:

Between 6 and 9 minutes, Sameen's distance from work is decreasing

Step-by-step

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

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Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:

-.4/.2

Step-by-step explanation:

take the points and divide them from 1/5

Dilation involves changing the size of triangle QRS

The coordinates of R' are (-2/5, 1/5)

The coordinate of R is given as:

\(\mathbf{R =(-2,1)}\)

The scale factor is given as 1/5; i.e.

\(\mathbf{k = \frac 15}\)

The dilation occurs through the origin,

So, the coordinates of R' is calculated using:

\(\mathbf{R' = k \times R}\)

This gives

\(\mathbf{R' = \frac 15 \times (-2,1)}\)

Multiply

\(\mathbf{R' = (-\frac 25,\frac 15)}\)

Hence, the coordinates of R' are (-2/5, 1/5)

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The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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The function that models the new path of the water after raising the hose is g(x) = -0.1x² + 0.5x + 3.6.

A function is a mathematical relationship between input values, known as the domain, and output values, known as the range.

To model the new path of the water after raising the hose, we need to modify the given function h(x) by adding 1 to the horizontal distance x, as the water hits the ground 1 foot farther from where you are standing.

Let's call the new function g(x) where x is the horizontal distance (in feet) from where you are standing.

g(x) = h(x+1)

Substituting h(x) = -0.1x²  + 0.7x + 3 into the above equation, we get:

g(x) = -0.1(x+1)²  + 0.7(x+1) + 3

Simplifying further, we get:

g(x) = -0.1(x²  + 2x + 1) + 0.7x + 0.7 + 3

g(x) = -0.1x²  - 0.2x - 0.1 + 0.7x + 0.7 + 3

g(x) = -0.1x²  + 0.5x + 3.6

Hence, the function that models the new path of the water after raising the hose is g(x) = -0.1x² + 0.5x + 3.6.

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Therefore, in response to the given query, we can state that R(-1)'s inequality possible spectrum is thus: [0, 10]

A connection between two expressions or numbers that is not equivalent in mathematics is referred to as an inequality. Thus, disparity results from inequity. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and disparity are not the same. Use the not equal sign most frequently when two numbers are not identical. (). Values of any size can be contrasted using a variety of disparities. By changing the two sides until only the factors are left, many straightforward inequalities can be answered. However, a number of factors support inequality: Both parts' negative numbers are divided or added. Exchange the left and the right.

The equation can be used to describe the candle's length, R(t):

R(t) = 11 - 1.1t

where t represents how long the light has been burning, in hours.

We must determine t in terms of R in order to determine the negative of R(t):

R = 11 - 1.1 t = (11 - R)/1.1 t = (11 - R)

R(t)'s inverse function is thus:

\(R^{(-1)}(R) = (11 - R)/1.1\)

0 ≤ R ≤ 11

So, R(-1)'s scope is as follows:

[0, 11]

0 ≤ R ≤ 11

Inputting these limits into the equation for R(-1) yields the following results:

\(R^{(-1)}(0) = 11/1.1 = 10\\R^{(-1)}(11) = 0/1.1 = 0\)

R(-1)'s possible spectrum is thus:

[0, 10]

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Given the word problem, we can deduce the following information:

Radius = 6 miles

Central angle = 2 radians

To determine the length of the arc, we use the formula:

where:

s= arc length

r= radius

θ= central angle in radians

We plug in what we know:

Therefore, the length of the arc is 12 miles.

6 1/10

Step-by-step explanation:

4 + 1/2+1+3/5

5+1+1/10=6 1/10

The following area tagged expression or sentence as;

1. Expression

2. Expression

3. Sentence

4. Sentence

5. Expression

Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.

These expressions are also identified with various mathematical or arithmetic operations, such as;

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Sunn Comp sells a product for $120 per unit, with a variable cost of $84 per unit, according to the information provided.

As a result, the company generates a contribution margin of $36 per unit ($120 - $84).

What is unit?

A unit is a recognized quantity that is used in measuring.

For instance, when you say, "I traveled 50 meters," you are expressing the distance in numbers, i.e., 50, and the unit is meter.

5 kg of veggies; the unit used here is kg (kilogram).

Sunn Comp is a business that focuses on producing just one kind of goods.

The variable cost of this good is $84 per unit, but it sells for $120.

So, the company's units each have a contribution margin of $36.

In order for the business to turn a profit and pay its fixed annual costs of $529200, it must sell a particular number of units.

Divide the fixed costs by the contribution margin per unit to find the break-even threshold.

To break even and pay its fixed costs, Sunn Comp needs to sell at least units of its product.

For Sunn Comp, being aware of the break-even point is crucial.

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The complete question is:

Sunn Company manufactures a single product that sells for $120 per unit and whose variable costs are $84 per unit. The company's annual fixed costs are $529,200. (1) Prepare a contribution margin income statement at the break-even point. (2) If the company's fixed costs increase by $132,000, what amount of sales (in dollars) is needed to break even? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Prepare a contribution margin income statement at the break-even point. SUNN COMPANY Contribution Margin Income Statement (at Break-Even) Percentage Amount of sales Required 1 Required 2 Prepare a contribution margin income statement at the break-even point. SUNN COMPANY Contribution Margin Income Statement (at Break-Even) Percentage Amount of sales Contribution margin Fixed costs Income Sales < Required 1 Required 2 > Variable costs Complete this question by entering your answers in the tabs below. Required 1 Required 2 If the company's fixed costs increase by $132,000, what amount of sales (in dollars) is needed to break even? Break-Even Point in Dollars Numerator: 1 Denominator: = Break-Even Point in Dollars / Break-even point in dollars S < Required 1 Required 2

Answer:

volume of a cylinder

V= TTr² h

V= volume

TT= pie

h= height

Step-by-step explanation:

Note: radius is 2times diameter ... if you are given diameter and to convert to radius, divide the diameter by 2

V=TTr²h

r= 8/2 =4cm

V= 3×4²×12

V=3×16×12=576cm³

Answer:

see below

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

4x - 3y = 12

Solve for y

Subtract 4x from each side

4x-4x - 3y =-4x+ 12

-3y = -4x+12

Divide by -3

-3y/-3 = -4x/-3 + 12/-3

y = 4/3x -4

The slope is 4/3 and the y intercept is -4

The slope is Positive

ANSWER

Mateo can fill 40 glasses with punch

EXPLANATION

We have to divide 8 liters of punch into glasses that can hold 1/5 liter. To find the number of glasses we have to do this division:

We can use the KCF rule:

Keep the first fraction (in this case it's a whole number)

Change the division sign into a multiplication sign

Fl

9514 1404 393

Answer:

  C.  -2.00 m/sec

Step-by-step explanation:

The average velocity on the interval [a, b] is found by ...

  m = (s(b) -s(a))/(b -a)

One end of the interval remains constant here, so we can define 'd' so that the interval is [4, 4+d]. Then the average velocity is ...

  m = (s(4 +d) -s(4))/((4 +d) -4)

  m = (s(4+d) -s(4))/d

The attached table shows the average velocity values on the intervals required by the problem statement. Respectively, they are ...

  -1.5 m/s, -1.7 m/s, -1.9 m/s, -1.99 m/s, 2.01 m/s, 2.1 m/s, 2.3 m/s, 2.5 m/s

We expect the instantaneous velocity at d=0 to be the average of the values at d=-0.01 and d=+0.01. We estimate the instantaneous velocity at t=4 seconds to be -2.00 m/s.

The option that best describes the number of people who need glasses for reading by age 60 is d. most people

A condition known as age-related macular degeneration (AMD) affects a person's central vision. Although AMD can cause severe central vision loss, it rarely causes total blindness. Age 50 and older, smoking, having high blood pressure, and eating a diet high in saturated fat are all risk factors for AMD.

The 1960s and beyond are regarded as late adulthood. The process of physical change ends here. Skin elasticity continues to decline, as does reaction time and muscle strength. The senses of smell, taste, hearing, and vision that we had in our twenties start to deteriorate.

In this case, it should be noted that most people need glasses by 60 years and above. Therefore, the correct option is D.

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The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

1.375 or 1/38

Step-by-step explanation:

(3/8+2/3)+1/3

(1.04166666667)+1/3

1.375 or 1 3/8

The image's distance from the mirror is -1.87, by using the mirror equation.

Note:-  Although the question is missing, I believe the issue is asking where the image is located.

To find the solution to the problem, the mirror equation can be used:

Mirror equation =  \(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)

Where,

f = mirror's focal length

\(d_{o}\) = object's distance from the mirror

\(d_{i}\) =  image's distance from the mirror

The focal length is assumed to be negative for a convex mirror in our problem.

f = -2.8 m

The object's distance (do) = 5.6m

By using the mirror equation, the image's distance from the mirror can be determined

\(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)

i.e, \(\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }\)

= \(-\frac{1}{2.8} -\frac{1}{5.6}\) =  \(-\frac{3}{5.6}\)

= - 0.5357

\(d_{i} =\) \(-\frac{5.6}{3}\)

= -1.87 m

The virtual nature of the image is indicated by the negative sign (located behind the mirror)

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An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Answer:

a) We expect to have 135 people to have had chickenpox in their childhood.

b) No, I would not be surprised, as the probability is not low.

z = -0.6812

c) P(X≤132)=0.248

Step-by-step explanation:

a) This is a binomial random variable, with n=150 and p=0.9, so we can calculate the expected value as:

\(E(X)=np=150\cdot 0.9=135\)

b) To answer this we can calculate the probability that 132 people or fewer have had chickenpox in their childhood.

This binomial random variable can be approximated by a normal distribution, with the following parameters:

\(\mu=np=150\cdot 0.9=135\\\\\sigma=\sqrt{np(1-p)}=\sqrt{150\cdot 0.9\cdot 0.1}=\sqrt{13.5}=3.67\)

To calculate the probability that 132 people or fewer have had chickenpox in their childhood we compute the z-score for X=132.5 (as we apply the continuity factor) and calculate the probability using the standard normal distribution:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{132.5-135}{3.67}=\dfrac{-2.5}{3.67}=-0.6812\\\\\\P(X<132.5)=P(z<-0.6812)=0.248\)

Answer: C

Step-by-step explanation: