WORTH 50 POINTS
Recall the formula for factoring the difference of
two squares
a^2-b^2= (a + b)(a - b)
Use the formula to factor n^8-9
What is the value of a?

will mark brainliest pls answer fast

The distance between the two boats is given as follows:

162.709 m.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For each angle, we have that:

Hence the position P is obtained as follows:

tan(24º) = 40/P

P = 40/tangent of 24 degrees

P = 89.841 m.

The position Q is obtained as follows:

Q = 40/tangent of 9 degrees

Q = 252.55 m.

Hence the distance is given as follows:

252.55 - 89.841 = 162.709 m.

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Residual sum of squares (RSS) is a measure of the total amount of variance in a given data set that is not explained by a model.

It is equal to the sum of squared differences between the observed data values and the predicted values from the model. This measure is commonly used in regression analysis to evaluate the performance of a model. The formula for RSS is  RSS = Σ(y_i - ȳ)², where y_i is the observed value and ȳ is the predicted value.For example, let's say we have a data set of 10 observations (y_1, y_2, ...,y_10). We fit a linear regression model to the data set which predicts a value ȳ_i for each observation. The RSS for this model is calculated by summing the squared differences between the observed values (y_i) and the predicted values (ȳ_i) for each of the 10 observations. This yields the RSS, which is a measure of how much of the variance of the data set is not explained by the model.

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The operator *= is called  multiple assignment operator.

The operator is given as

*=

Take for instance, we have the following statement in Python

a *= b

The meaning of the above statement is

a = a * b

Assume the following values for the variables

a = 6 and b = 3

The value of the operation a *= b would be

a *= b --- given expression

a = a * b --- expanded expression

a = 6 * 3 ---- when the values are substituted

a = 18 --- the result

This implies that the operator represents an assignment and a multiply operator

Hence, the operator *= is called  multiple assignment operator.

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Answer:

\(y = mx + b\)

\(y \geqslant 2x - 15\)

I hope this helps

Answer:

-2

Step-by-step explanation:

(3+4)2-4²

(7)2-4²

(7)2-16

14-16

-2

Of the boys surveyed, more preferred apples. Of the girls surveyed, more preferred apples. There does not appear to be association between gender and fruit preference.

More than half of both boys and girls prefer apples relative to oranges.

As the preference is the same between the two genders, there does not appear to be association between gender and fruit preference.

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Step-by-step explanation:

Find angle W first:

37 + 93 + W = 180 ---> W = 50°

Use sine law to find the length w:

w/(sin 50) = 31/(sin 37)

w = 31(sin 50/sin 37)

= 39.5

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

Yes yes no no

Step-by-step explanation:

This image should help

The area of the rectangle is 43.75 square centimeters, and we get that by using the area formula:

A = L*W

A rectangle is defined only by two dimensions, which are length and width if we define the variables:

L = length of the rectangle

W = width of the rectangle

Then the area of the rectangle is given by the formula:

A = L*W

Here we know that the dimensions of the rectangle are 12.5 cm and 3.5 cm, so we can define:

L = 12.5cm

W = 3.5cm

Replacing that in the formula for the area we get:

A = (12.5cm)*(3.5cm) = 43.75 cm^2

That is the area of the rectangle.

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Answer:

15

Step-by-step explanation:

If he sold 12 glasses of lemonade yesterday then 25% more is 1/4 more. 1/4 of 12 is 3. Add 3 to 12 and you get 15.

Answer:

The slope is 1/2.

Step-by-step explanation:

slope = y2-y1/x2-x1

= -2 - 1/-2-4

= -3/-6

= 1/2

Answer:$387.27

Step-by-step explanation:

Hope this helps.

Answer:

yz

Step-by-step explanation:

........

........

answer is YZ

To show that every amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills, we can use a technique called "proof by induction."

First, let's check the base case: can we make 18 dollars using only 3-dollar and 10-dollar bills? Yes, we can use two 3-dollar bills and one 10-dollar bill: 3 + 3 + 10 = 16.

Now, let's assume that we can make any amount greater than n dollars using only 3-dollar and 10-dollar bills. We want to prove that we can make any amount greater than n+1 dollars as well.

To do this, we can consider two cases:

1. The amount we want to make includes at least one 10-dollar bill. In this case, we can subtract 10 dollars from the amount and use our induction hypothesis to make the remaining amount using only 3-dollar and 10-dollar bills. Then we add the 10-dollar bill back in, and we have made the original amount.

2. The amount we want to make does not include any 10-dollar bills. In this case, we can use our induction hypothesis to make the amount n-7 using only 3-dollar and 10-dollar bills (since 10 - 3 = 7). Then we add a 10-dollar bill and a 3-dollar bill to get n+3, and we can add another 3-dollar bill to get n+6. Finally, we add one more 3-dollar bill to get n+9, which is greater than n+1.

Therefore, we have shown that any amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills using proof by induction.

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The probability that the high school athlete chooses to play football in North Carolina can be calculated by dividing the number of football offers in North Carolina by the total number of football offers he has received.

The athlete has received 3 football offers in Alabama, 3 in North Carolina, and 2 in Florida. Therefore, the total number of football offers is 3 + 3 + 2 = 8.

To calculate the probability of choosing football in North Carolina, we need to divide the number of offers in North Carolina (3) by the total number of offers (8). So the probability is 3/8.

The probability that Erik sets the combination of his lock as 4-3-9 can be calculated by dividing the number of favorable outcomes (1) by the total number of possible outcomes.

Since each dial has 10 possible numbers (0 through 9), the total number of possible combinations is 10 * 10 * 10 = 1000.

There is only one favorable outcome, which is the combination 4-3-9.

Therefore, the probability of Erik setting the combination as 4-3-9 is 1/1000.

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Answer:

not directly proportional

Step-by-step explanation:

if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.

first

one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )

second

one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )

since the unit costs are different there is not a directly proportional relationship.

Answer:

No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.

Step-by-step explanation:

$1.99 divided by 2 = 0.995

$1.99 + 0.995 = $2.985

$2.985 > $2.69

Answer:

Six letters---6

Step-by-step explanation:

You Welcome G!

The solution is, the letters in the word GRADE can be arranged in 120 ways.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

Given that we are to evaluate the number of ways to arrange the letters in the word GRADE,

In the word GRADE, we have 5 distinct letters:

G(1), R(2), A(3), D(4), E(5).

There are 5 letters.

Thus, the number of ways of arranging the letters is evaluated as

5! = 1×2×3×4×5

   =120

Hence, the letters in the word GRADE can be arranged in 120 ways.

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Answer:

x= 8/5 . or 1.6 in decimal form or 1 and 3/5 in a mixed number .

Step-by-step explanation:

The Segment Addition Postulate states if three points J, K, and L are collinear and J is between K and L, then KJ + JL = KL.

The segment addition postulate states that if a line segment has two endpoints, say, A and C, then a third point B will lie somewhere on the line segment AC if and only if the following equation is satisfied-

AB + BC = AC

The segment addition postulate is applicable only to a line segment, and does not apply to a ray or a line. A line segment differs from a ray or a line as it is bounded by two defined endpoints.

Here, if three points J, K, and L are collinear and J is between K and L, then as per Segment Addition Postulate-

KJ + JL = KL

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From 6 to 7 inches, the rate of change is 0.25.

From 7 to 11 inches, the rate of change is 0.25.

The function is linear.

Mathematically, the rate of change can be calculated by using this formula;

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x, with the following points (6, 6.25) and (7, 6.50):

Rate of change, m = (6.50 - 6.25)/(7 - 6)

Rate of change, m = 0.25/1

Rate of change, m = 0.25

From 7 to 11 inches, the rate of change is given by:

Rate of change, m = (7.50 - 6.50)/(11 - 7)

Rate of change, m = 1/4

Rate of change, m = 0.25.

Therefore, the function is linear because the rate of change is the same.

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Chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Let M be the midpoint of AB, so EM is perpendicular to AB.

Since OF is a diameter of the circle, angle EOF is a right angle.

Triangles EOF and EMA are similar, since they both have a right angle and angle EFM is congruent to angle EAM, being alternate interior angles of parallel lines.

The corresponding sides are proportional:

EF / EA = EO / EM.

EM is half the length of AB, which is the diameter of the semicircle,

EO must be equal to the radius of the semicircle.

Therefore, we have EF / EA = radius / (diameter / 2) = 2 / 2 = 1,

EF = EA.

Hence, chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF

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Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= \(N(\frac{100-105}{9} )\)

= \(N(\frac{-5}{9} )\)      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  \(N(\frac{-5}{9} )\)      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

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Answer:

vGreat job!

You earned

+5 pts

for helping

Step-by-step explanation:

Answer:

this shape consists of a square and triangle

The shape is a Pentagon ... but that won't help get the perimeter or area. you'll have to find the areas and perimeters of both the square and triangle and then add them for the final answer.

Area of figure = area of square + area of triangle

=> Area of Square = a² (a = side)

side = 3.5 cm ...so...

Area of square = a²

= 3.5 × 3.5

= 12.25 cm²

=> Area of Triangle = ½ × base × height

= ½ × 3.5 × 1.64

= 2.87cm²

Area of figure = area of square + area of triangle

Area of figure = 12.25 + 2.87

= 15.12 cm²

Perimeter of figure = P of square + P of triangle

=> P of square = 4a

= 3.5 × 4

= 14cm

=> P of isosceles triangle = 2a + base

= 2 × 2.4 + 3.5

= 4.8 + 3.5

= 8.3cm

Total perimeter of figure = P of square + P of triangle

Total perimeter = 14 + 8.3

= 22.3 cm

The age of Jeremy could be less than 22 years

From the question, we have the following parameters that can be used in our computation:

Jeremy = Rachel - 2

Let Jeremy = x and Rachel = y

So, we have

y = y - 2

Their ages added together is less than 46

So, we have

x + y < 46

This gives

x + x + 2 < 46

So, we have

2x < 44

Divide

x < 22

Hence, Jeremy could be less than 22 years

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Question

Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46

How old could Jeremy be?

Answer:

Step-by-step explanation:

\(\frac{z+5.1}{2}=0.6 \\\\\mathrm{Multiply\:both\:sides\:by\:}2\\\frac{2\left(z+5.1\right)}{2}=0.6\cdot \:2\\\\Simplify\\z+5.1=1.2\\\\\mathrm{Subtract\:}5.1\mathrm{\:from\:both\:sides}\\z+5.1-5.1=1.2-5.1\\\\Simplify\\z=-3.9\)

Answer:mason must need 33.6 m of materail to make  8 curtains.

so he need to 17.6m of material

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Let

Carl grades = x = 62, 78, 59, 89

Number of grades, N = 4

Mean of Carl's grade = sum of x / number of grades,N

= (62 + 78 + 59 + 89) / 4

= 288/4

= 72

Therefore, mean of Carl's grade = 72