Find the equation of a line that pae through the point (-2,-3) and ha a gradient of -3. Leave your anwer in the form y = m x c

Answer:

Ice would be the correct answer.

Answer:

if u want go to the doctor but use ice but if its to cold use a little heat not too much tho

Step-by-step explanation:

If you have injured your neck and are experiencing swelling, you should ice the area for at least 72 hours. After icing, you can use heat to help any lingering pain. Tight neck muscles and old injuries can benefit from heat only, as long as there isn’t any swelling.

Answer:

around 92 attempts.

Using ratio, Drake made 127 free hits out of 150 attempts

Ratio is the relationship between two numbers given by a quotient

If the ratio of two numbers is a/b then the fraction a/b gives that what parts x is of y .

Drake made 38 free throw out of 45 attempts

Ratio of free throws to total attempts = 38/45

Let Drake make x free hits in 150 attempts

∴ Ratio of free hits = x/ 150

Ratio of free hits remains same.

⇒ 38/45 = x/ 150

⇒ (38×150)/45 = x

⇒ 126.67 = x

Nearest whole number to  126.67 is 127.

∴ Number of free attempts  are 127 out of 150

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Answer:

y=1/3x+4

Step-by-step explanation:

Based on an interest rate of 8.21% and a duration of 8 years, it will be determined which Direct Benefit project will be accepted.

To determine which Direct Benefit project would be accepted, we need to compare the present value (PV) of each project. The PV represents the current value of future cash flows, taking into account the interest rate and time period.

Let's evaluate each project individually:

1. Project A: The PV of Project A can be calculated using the formula PV = FV / (1 + r)^n, where FV is the future value, r is the interest rate, and n is the number of years. If the PV of Project A is greater than zero, the project will be accepted.

2. Project B: Similarly, we calculate the PV of Project B using the same formula. If the PV of Project B is greater than zero, the project will be accepted.

3. Project C: Again, we calculate the PV of Project C using the formula. If the PV of Project C is greater than zero, the project will be accepted.

By comparing the PV values of all three projects, we can determine which project(s) will be accepted. The project(s) with a positive PV will be considered financially viable, while the one(s) with a negative PV will not be accepted.

Please provide the specific details of the cash flows or any additional information related to the projects in order to calculate the PV and provide a definitive answer on which project(s) will be accepted.

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Answer:

56fifjjfiggitrireieisixii3eiirr

Answer:

Length = 33 cm

width = 11 cm

Step-by-step explanation:

a = 3w           ⇒ eq. 1

88 = 2(a+w)   ⇒ eq. 2

a = length

w = width

then:

replacing the value of the eq. 1 on the eq. 2

88 = 2(3w + w)

88/2 = 4w

44 = 4w

w = 44/4

w = 11 cm

from the eq. 1

a = 3w

a = 3*11

a = 33cm

Check:

perimeter = 88 = 2(a+w)

88 = 2(33+11)

88 = 2*44

Answer:

Born Without A Heart by Faouzia

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is pretty cringe better delete :/

Answer:

C. (9,3)

Step-by-step explanation:

not sure if i'm right.. but i hope it helps!

Answer:

x - 2y=3

Step-by-step explanation:

x - 2y=3

Answer:

Therefore, the probability of getting at least 3 tails is 1/16 + 1/4 = 5/16 or 0.3125.

The probability of getting exactly 3 tails is just 1/4, as we calculated above.

Step-by-step explanation:

To find the probability of getting at least 3 tails when tossing a coin 4 times, we need to add the probabilities of getting 3 tails and 4 tails.

The probability of getting a tail on one toss is 1/2, and the probability of getting a head is also 1/2.

The probability of getting 4 tails is (1/2)^4 = 1/16 because there is a 1/2 chance of getting a tail on each toss, and the events are independent, so we multiply the probabilities together.

The probability of getting 3 tails is (4 choose 3) * (1/2)^4 = 4/16 = 1/4 because we need to choose which 3 tosses will be tails (this can be done in (4 choose 3) = 4 ways), and there is a 1/2 chance of each of those tosses being a tail, with a 1/2 chance of the last toss being a head.

Let's consider the region R bounded by \(f(x) = 4 sqrt(x)\) and

\(g(x) = 4x/3 +8/3\). Since they intersect at a single point, we will find the point of intersection. \(4 sqrt(x) = 4x/3 +8/3\)

\(= > x^(1/2)\)

\(= (1/3)x + (2/3)\)

\(= > (x^(1/2))^2\)

\(= ((1/3)x + (2/3))^2\)

\(= > x\)

= (16/9). Thus, the point of intersection is (16/9, 16/3).

Now, we need to find the area A of the region R. Since \(f(x) > g(x) for x < 16/9 and f(x) < g(x) for x > 16/9\), the integral that gives the area is:\(∫[0,16/9] (4 sqrt(x) - (4x/3 +8/3)) dx= > ∫[0,16/9] 4 sqrt(x) dx - ∫[0,16/9] (4x/3 +8/3)\) \(dx= > (4/3) ∫[0,16/9] x^(1/2) dx - (2/3) ∫[0,16/9] (2x/3 +4/3) dx\)

\(= > (4/3) (2/3) x^(3/2) |[0,16/9] - (2/3) (x^2/2) |[0,16/9] - (2/3) (4/3) x |[0,16/9]\)

\(= > (8/27) (16)^(3/2) - (2/3) (256/81) - (2/3) (16/3)\)

\(= > 32/3 - 512/243 - 32/9\)

\(= > (96/9) - (512/243)\)

\(= > 1024/243.\)

Therefore, the area of R is \(A = 1024/243\) square units (exact).

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Answer:

circle 4..............

It cannot determine causation as there may be other variables or factors that could be influencing the relationship between the two variables being analyzed.

Which one of the following cannot be determined from a scatterplot is a cause and effect relationship.

A scatterplot can show the strength and direction of a relationship between two variables, whether it is a positive or negative relationship, and whether it is curvilinear.

However, it cannot determine causation as there may be other variables or factors that could be influencing the relationship between the two variables being analyzed.

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If the incident light changes from a wavelength of 630 nm to 420 nm, the fringe spacing will decrease, resulting in fringes that are closer together.

In a double-slit experiment, when light passes through two narrow slits and hits a viewing screen, interference patterns are observed. The fringe spacing, also known as the separation between adjacent bright fringes, is determined by the wavelength of the incident light. The formula for calculating fringe spacing is given by:

Fringe Spacing = (wavelength * distance from slits to screen) / distance between the slits

Given that the fringe spacing is initially 1.8 mm when the incident light has a wavelength of 630 nm, we can use the formula to calculate the new fringe spacing when the light wavelength changes to 420 nm. Since the distance from the slits to the screen and the distance between the slits remain constant, the only variable that changes is the wavelength. As the wavelength decreases, the fringe spacing will also decrease. Therefore, the fringe spacing will be smaller when the light wavelength is 420 nm compared to when it is 630 nm.

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The same employee should not be permitted to work under concrete buckets except when wearing a hard hat. This is a safety requirement to prevent injury to the head when working under a concrete bucket.

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An employee should not be allowed to work under concrete buckets unless they are wearing a hard hat. This is because a hard hat provides essential head protection from potential falling objects or debris. To ensure safety, follow these steps:

1. Confirm that the employee has a suitable hard hat before starting work.
2. Ensure the hard hat is properly adjusted and securely fits on the employee's head.
3. Make sure the work area under concrete buckets is clearly marked and restricted.
4. Only allow employees with a proper hard hat to enter the restricted area.
5. Continuously monitor the work environment to ensure that employees are wearing their hard hats when working under concrete buckets.

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Answer:

8.28

Step-by-step explanation:

we can express this question as

12.25/1.7=x/1.15

this can be simplified to

x=8.28

The height of Naomi's school building is 8.29 meters

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

In the given question and attached figure we have,

Now we have to find the height(AB) of the building,

By the properties of similar triangles, we can write,

AB / BC = DE / CD

Putting all the values we get,

AB / 12.25 = 1.15 / 1.7

Simplifying we get,

AB = (1.15 / 1.7) × 12.25

By further simplifying,

AB = 8.29 meters

Therefore, the height of Naomi's school building is 8.29 meters.

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The total sales in week 20 after the beginning of the advertising campaign was $3297.03

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Her sales in the first week were $86. After starting an online advertising campaign, her sales increased 20% the following week. This expression can be represented in the form of an exponential function:

y = abˣ

Where a is the initial value and b is the multiplication factor

Let y represent the total sales after x weeks. Comparing with the expression:

a = $86, b = 100% + 20% = 1.2. Hence:

y = 86(1.2)ˣ

After 20 weeks:

y = 86(1.2)²⁰ = 3297.03

The total sales was 3297.03

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The equilibrium points for the autonomous differential equation dy/dx = y(y^2 - 2) can be found by setting dy/dx equal to zero and solving for y. The equilibrium points are y = -√2, y = 0, and y = √2.

To find the equilibrium points, we set dy/dx equal to zero:

y(y^2 - 2) = 0

This equation is satisfied when y = -√2, y = 0, and y = √2. These are the equilibrium points of the system.

To determine the stability of each equilibrium point, we analyze the sign of dy/dx in the vicinity of the point. For y = -√2 and y = √2, if we choose a value slightly greater or slightly smaller than the equilibrium point, dy/dx will have the same sign, indicating that the system moves away from the equilibrium point. Therefore, these equilibrium points are unstable.

For y = 0, if we choose a value slightly greater than 0, dy/dx is negative, and if we choose a value slightly smaller than 0, dy/dx is positive. This indicates that the system approaches the equilibrium point as time progresses. Therefore, the equilibrium point y = 0 is asymptotically stable

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Answer:

3/5 or three fifths

Answer:

62 cookies

Step-by-step explanation:

If we take 40 and divide by 24 we get 1.6 that means for every normal cookie there is 1.6 chocolate cookies. With that we can simply just divide 100 by 1.6 to get 62.5 I chose to round down.

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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You can use the procedures listed below to determine a circle's radius:

Determine the information given: You must first determine what other measurements are given before calculating the radius. Usually, the circle's diameter or circumference is specified.

Utilize the formula: Once the given information has been located, you can use the formula that connects the radius to that measurement. The radius of a circle is calculated using the following formulas: r = d/2 (where d is the diameter) or r = C/2 (where C is the circumference).

Replace values: Enter the specified diameter or circumference into the relevant formula, then solve for the radius.

Simplify: If necessary, make the expression simpler to arrive at the final result.

For example, if the diameter of a circle is 10 cm, you can find the radius by dividing the diameter by 2:

r = d/2 = 10/2 = 5 cm

So the radius of the circle is 5 cm.

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Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

Answer:

True

Step-by-step explanation:

Answer:

When, X=-4

y=17

X= - 3 with y =15

X= - 2 with y =13

X= - 1 with y =11

X=0 with y=9

X=1 with y=7

X=2 with y=5

X=3 with y=3

X=4 with y=1

As co-ordinate it'll be:

(-4,17)

(-3,15)

(-2,13)

(-1,11)

(0,9)

(1, 7)

(2,5)

(3,3)

(4,1)

The amount invested in each mutual fund is $400 and $1200 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 10 and 8x − 4y = 2

Let represent the amount the first fund get by x and the amount the second fund get by y.

Therefore x+y = 1600 equation 1

and 9/100 × x + 4/100 × y = 84

9x/100 + 4x/100 = 84

multiply through by 100

9x + 4x = 8400 equation 2

using elimination method

9x+ 9y = 14400 equation 3

9x + 4y = 8400 equation 4

subtract equation 4 from 3

5y = 6000

divide both sides by 5

y = 6000/5

y = $1200

substitute 1200 for y in equation 1

1200+x = 1600

x = 1600-1200

x = 400

Therefore the first fund will get $400 and the second fund will get $1200

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Answer:

a=27.1

Step-by-step explanation:

We're given both b and c of the Pythagorean formula, hence we work backwards to find A:

\(a^2+b^2=c^2\\a^2+17^2+32^2\\a^2+289=1024\\a^2=735\\\sqrt{a^2} =\sqrt{735}\\\\a=27.1\)

Answer: B, x=3

Step-by-step explanation: isolate x so 13-10=3

Answers:

==========================================================

Explanation:

x = smaller number

2x-5 = larger number, since it's five less than twice the smaller number

The sum of both values is 43, so,

(smaller)+(larger) = 43

(x) + (2x-5) = 43

3x-5 = 43

3x = 43+5

3x = 48

x = 48/3

x = 16 is the smaller number

2x-5 = 2*16-5 = 32-5 = 27 is the larger number

Check: 16+27 = 43

The answer is confirmed.

The probability that the mean of the sample would differ from the population mean by less than 36 points is 0.0316

To calculate the probability that the mean of the sample would differ from the population mean by less than 36 points, we need to use the Central Limit Theorem.

The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution.

Given:

Standard deviation (σ) = 421 points

Mean (μ) = 1728 points

Sample size (n) = 309 tests

To calculate the probability, we need to find the z-score associated with a difference of 36 points and then find the corresponding probability using the standard normal distribution table or a statistical calculator.

The formula for the z-score is:

z = (x - μ) / (σ / √n)

Plugging in the values:

z = (36 - 0) / (421 / √309)

Calculating the z-score:

z = 36 / (421 / √309)

z ≈ 2.1604

Now, we need to find the probability associated with this z-score. Looking up the z-score of 2.1604 in the standard normal distribution table, we find that the probability is approximately 0.9842.

However, we need to consider both tails of the distribution because we're looking for a difference in either direction (less than 36 points or greater than -36 points). Therefore, we need to find the area in both tails.

Since the standard normal distribution is symmetric, we can calculate the area in one tail and multiply it by 2 to get the total probability.

Area in one tail = 1 - 0.9842

Area in one tail ≈ 0.0158

Total probability = 2 * 0.0158

Total probability ≈ 0.0316

Rounding the answer to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 36 points is approximately 0.0316.

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Answer:

h < -13/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

h - 8 > 4h + 5

Step 2: Solve for h

Here we see that any value h smaller than -13/3 would work as a solution to the equation.