Find the gradient of the line segment between the points (2,3) and (-3,8).

Answer:

$66

Step-by-step explanation:

→ Work out 45% as a multiplier

100 - 45 = 55 ⇒ 55 ÷ 100 = 0.55

→ Multiply the multiplier by the price

0.55 × 120 = $66

Answer:

54

Step-by-step explanation:

120 times 45 equals 5400 divided by 100 equals $54

Answer:

Given

no of Grade 6 students = 220

no of Grade 7 students = 40 more than grade 6 students

Step-by-step explanation:

boys Grade 7 students = no of Grade 6 students - 40 more than grade 6 students

boys Grade 7 students = 220 - 40

boys Grade 7 students = 180 grade 7 boy students are enrolled

Therefore, 180 grade 7 boy students are enrolled.

Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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Answer:

skp

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 1 = -10(x - 9)

y - 1 = -10x + 90

y = -10x + 91

Answer:

40x-16

Step-by-step explanation:

Distribute the 8 to the 5x and -2

8*5x=40x

8*-2=-16

So the answer is 40x-16

Ms. murphy has to create a relay team in 3024 ways.

What is combination?

A combination is a collection of components produced under a certain set of constraints and conditions.

Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organize anything here. We are going to choose them. We use the symbols n C r to represent the number of distinct r-selections or combinations among a set of n items.

As given, Ms murphy has to select 4 swimmers out of 9  swimmers to create a relay team.

By using the combination formula we can find the number of ways to create a relay team.

\(C^{n}_r = \frac{n!}{(n-r)!}\)

Where,

n is the number of all objects and r is a number of selected objects.

Here, n = 9 and r = 4.

So,

\(C^{9}_4 = \frac{9!}{(9-4)!} = \frac{9!}{5!} = \frac{x}{y} = 3024\)

Therefore, she create a relay team in 3024 ways.

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The correct points to be plotted after transforming the data with the coordinates (x, log(y)) are (1, 1.176), (2, 2.017), and (3, 2.862). To find the transformed points with the coordinates (x, log(y)), we need to take the logarithm of the y-values and round the result to three decimal places.

Given the original data:

X | y

1 | 15

2 | 104

3 | 728

Let's calculate the transformed points:

For (x=1, y=15):

log(15) ≈ 1.176

For (x=2, y=104):

log(104) ≈ 2.017

For (x=3, y=728):

log of (728) ≈ 2.862

Rounding each transformed y-value to three decimal places, the transformed points are:

A. (0, 1.176), (0.301, 2.017), (0.477, 2.862)

However, please note that the given options for the transformed points do not match the format (x, log(y)). The correct option would be:

C. (1, 1.176), (2, 2.017), (3, 2.862)

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Answer:

She is struggling with addition of double-digit numbers

Step-by-step explanation:

She could benefit from a written explanation of vertical addition

True. In a pairwise scatter plot matrix, each scatterplot represents the relationship between two variables.

Since the scatterplot between variable X and variable Y is the same as the scatterplot between variable Y and variable X, the matrix is perfectly symmetric.

The scatterplot at the lower-left corner is indeed identical to the one at the upper-right corner. This symmetry is a result of the fact that the relationship between X and Y is the same as the relationship between Y and X.

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Answer:

-2

Step-by-step explanation:

(y-2)=-(12/4)

y-2= -4

y= -4+2

y = -2

Answer:

y = -1

Step-by-step explanation:

1. -4(y - 2) = 12

2. -4y + 8 = 12

3. -4y + 8 = 12 - 8

4. -4y = 4

5. -4y/-4 = 4/-4

6. y = -1

Check your answer:

-4(y - 2) = 12

-4(-1 - 2) = 12

4 + 8 = 12   True

Answer:

Yess

Step-by-step explanation:

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

4.2 ft

Step-by-step explanation:

Given the equation for the Law of Cosines, we can rewrite the equation to solve for "c" directly:

\(c^2=a^2+b^2-2ab(cosC)\\c=\sqrt{a^2+b^2-2ab(cosC)}\\c=\sqrt{7^2+8^2-2(7)(8)(cos32)}\\c=\sqrt{49+64-2(56)(cos32)}\\c=\sqrt{113-112(cos32)}\\c=\sqrt{113-94.98138677}\\c=\sqrt{18.01861323}\\c=4.244833711\\c=4.2\)

So the length of c is approximately 4.2 ft

Answer:

25%

Step-by-step explanation:

4/16 days were under 78 degress

Answer: No

Step-by-step explanation: 5 pounds of ham would mean that 5 people get 1 pound, and 10 people would get 1/2 pound or 0.5 pounds of ham each.

Answer: No

Step-by-step explanation: Step 1: Calculate the total amount of ham needed for 10 sandwiches. This is 10 x 2 = 20 pounds.

Taylor is not correct, as he does not have enough ham to make 10 sandwiches with 2 pounds of ham in each.

Answer:

It lies between 5 and 6

Step-by-step explanation:

Two consecutive numbers are numbers that come after each other:

x , x + 1 are consecutive numbers.

3 \sqrt{3} = 3√3 = 5.19615242271

Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

Answer:

It lays Between 2 and 3

Answer:

Arithmetic

Step-by-step explanation:

5-4=1

1-4=-3

-3=4=-7

Answer:

the annswer is 4155 because its in formal information

Step-by-step explanation:

the annswer is 4155 because its in formal information

This proves that the expected value of a Poisson distribution with parameter r is equal to r.

To prove that E(X) = r for X ~ Poisson(r), we use the definition of expected value:

E(X) = ∑x P(X = x) x

where the sum is taken over all possible values of X, and P(X = x) is the probability that X takes on the value x.

For the Poisson distribution, the probability mass function is:

P(X = x) = (e^-r * r^x) / x!

where r is the parameter of the Poisson distribution, representing the expected number of events per unit time (or space or other interval), and x is a non-negative integer.

Substituting this expression into the definition of expected value, we get:

E(X) = ∑x P(X = x) x

= ∑x (e^-r * r^x) / x! * x

= ∑x (e^-r * r^x) / (x-1)! (using x! = x(x-1)!)

= e^-r ∑x (r^x / (x-1)!)

= e^-r r ∑(x-1) [(r^(x-1)) / ((x-1)!)] (using the substitution k = x-1)

= e^-r r ∑k [(r^k) / k!]

= e^-r r e^r (using the power series expansion of e^r)

Therefore, we have:

E(X) = r

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Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

11x = 55

x = 5

The value of d in the given angles using the concept of complementary angles is; d = 13

Complementary angles are defined as angles that add up to 90 degrees.

Now, we are told that one angle measures 18°, and another angle measures (6d − 6)°. This tells us that;

(6d - 6) + 18 = 90

Expanding the bracket gives us;

6d - 6 + 18 = 90

6d + 12 = 90

6d = 90 - 12

6d = 78

Use division property of equality to divide both sides by 6 to get;

6d/6 = 78/6

d = 13

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Answer:

What type of question is this??

Answer:

The answer is A

Step-by-step explanation:

The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

Answer:

x is 7·π/30

Step-by-step explanation:

The given equation is presented as follows;

tan(3·x/7 - π/5) = (-√3)/3

We have that arctan (√3)/3 = π/6, and tangent of an angle is negative in the second quadrant, we get;

arctan (-√3)/3 = -π/6 = 5·π/6

∴ tan(-π/6) = -√3/3 = tan(3·x/7 - π/5)

-π/6 = 3·x/7 - π/5

x = (-π/6 + π/5) × 7/3 = (6·π - 5·π)/30 × 7/3 = π/30 × 7/3 = 7·π/30

x = 7·π/30

Rate is the same thing as gradient so to work out the gradient you need to use the formula

change in y / change in x

Change in y = y2 - y1

Pick any two points on the graph

Change in y = 30 - 15

Change in y = 15

Change in x = x2 - x1

Change in x = 2 - 1

Change in x = 1

15/1

= 15 dollars per day.

We can double check this by seeing the increase of money per day, for example, here from day two to day three, the money needed increases by 15, so our answer is correct.

Answer:

8 units

Step-by-step explanation:

Since both are on the same place in terms of the x-axis, this makes it much easier. Just go from (-1,4) and move upwards upon the graph until your at (-1,12). You counted 8 units. *mic drop*

Answer:

Step-by-step explanation:

8 because \(\sqrt{(-1+1)^{2}+{(12-4)^{2}}\) = sqrt(8^2), which equal 8

For the function f(x) , the statement based on limit has following answer,

a. For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

For the function f(x),

If the limit of the function f(x) does not exist then,

(a) lim x→a⁺ f(x) does not exist is a false statement.

If lim x→a⁺ f(x) or lim x→a⁻ f(x) exists.

it is still possible for lim x→a f(x) to not exist.

For example, consider the function f(x) = 1/x and a = 0.

The limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does exist.

(b) lim x→a⁻ f(x) does not exist is a false statement.  

Considering same function f(x) = 1/x and a = 0 .

The limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does exist.

Therefore, function f(x) represents the following statement as,

a. If  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  If  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

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The above question is incomplete , the complete question is:

Determine whether each statement is true or false. you have one submission for each statement.

(a) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist.

(b) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist.