The game is played on a square court divided into four smaller squares that meet at the center. If a line is drawn diagonally from one corner to another corner, then a right triangle QTS is formed, where _QTS is 45°. Using a trigonometric function, find the length of the
diagonal for a 15-foot square court.The length of the diagonal is about how many feet. (round to nearest tenth)

Based on the information provided, the triangle ABC is an Isosceles triangle.

If triangle ABC is equal to triangle DEF and AB is equal to EF, it means that the corresponding sides and angles of the two triangles are congruent.

Based on the information given, we can conclude that triangle ABC is an isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length. In this case, sides AB and EF are equal in length, making triangle ABC isosceles.

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To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

x=-0.2

Step-by-step explanation:

Given

f(x) = 2x³ - 6x² - 18x + 2

its derivative is

f'(x) = 6x² - 12x - 18

Then f has critical points when

6x² - 12x - 18 = 6 (x² - 2x - 3) = 6 (x - 3) (x + 1) = 0

or when x = -1 and x = 3. Because f is a polynomial, it and its derivatives are defined everywhere.

Classify the critical points by checking the sign of the second derivative at each one:

f''(x) = 12x - 12

• At x = -1, we have f''(-1) = -24 < 0, which indicates a local maximum at the point (-1, f(-1)) = (-1, 12).

• At x = 3, we have f''(3) = 24 > 0, which indicates a local minimum at (3, f(3)) = (3, -52).

We also check the value of f at the endpoints of the given domain.

• At x = -2, the graph of f passes through the point (-2, f(-2)) = (-2, -2).

• At x = 4, f goes through the point (4, f(4)) = (4, -38).

So, over the interval [-2, 4], we have

• an absolute maximum of 12 when x = -1, and

• an absolute minimum of -52 when x = 3

Answer:

Its B

Step-by-step explanation:

Step-by-step explanation:

5th - 13

6th - 20

7th - 27

8th - 34

‍♂️

Part 1

Find out the circumference of the circle (pizza)

The formula is given by

where

D=14 in

r=D/2=14/2=7 in ----> the radius is half the diameter

substitute

Part 2

we have a central angle of 55 degrees

Find out the arc length

Part 3

Find out the arc length by a central angle of 40 degrees

Apply the formula

a. It will take 7 months to pay off the credit card.

b. it will take 4 months to pay off the credit card.

Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.

We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

n = 6.18

Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

n = 3.43

Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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Answer:

$279

Step-by-step explanation:

100% = $930

30% = ???

(30/100) × 930

=$279

Answer:

the answer is 720

Step-by-step explanation:

The product of 325 and some power of 10 is 32,500. 325 is multiplied by the exponent 10² to get the value as 32,500.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The product of 325 and some power of 10 is 32,500.

Let the power value be = x

The statement converted into expression is -

325 × 10^x = 32500

Use the arithmetic operation of division -

10^x = 32500/325

10^x = 100

Express right-hand side in exponential or power form -

10^x = 10^2

Since, the base of LHS and RHS is same, so -

x = 2

Therefore, the value of x is obtained as 2.

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Answer:

62.5 m

Step-by-step explanation:

Proportions:

10/20 and x/125

-cross multiply

20x = 125*10

20x = 1250

20x/20 = 1250/20

x = 62.5

Answer:

Step-by-step explanation:

m = 2 ; x1 = -3 ; y1 = -1

Slope- point form: y - y1 = m(x -x1)

y - [-1] = 2(x - [-3])

y + 1 = 2(x + 3)

y + 1 = 2x + 3*2

y + 1 =2x + 6

   y = 2x + 6 - 1

  y = 2x + 5  This is slope intercept form : y = mx + b

Two pairs of separate sides are parallel in a quadrilateral with a single arrow once per pair of opposite sides.

A quadrilateral has four straight sides and is a two-dimensional form. Parallelograms, isosceles triangles, rectangles, kites, rectangles, and rhombuses are a few examples of quadrilaterals.

Option (c) illustrates a trapezoid in which one set of opposing sides has arrows indicating how they are parallel to one another. Alternative (d) has both couples of opposing sides indicated with arrows, indicating that all side are parallel, while options (a) and (b) don't even have any linear opposite sides.

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Answer:

H0 : p = 0.75

H1 : p ≠ 0.75

Step-by-step explanation:

The population proportion, P0 = 0.75 ;

Claim is that proportion of customers who use online coupons when making purchases is actually different than P0 = 0.75 (this is the calm) and the difference could be either more or less

Hence, the null hypothesis H0 : says P0 is 0.75 ;

H0 : p = 0.75

The alternative hypothesis, negating the null hypothesis argues that the proportion is not 0.75 (the difference could be either to the right or left).

H1 : p ≠ 0.75

Note that the square root of 8 is written as:

2 multiplied by the square root of 8 will then be expressed as:

Answer:

The answer is d because it's the answer pls mark me brainlest

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Answer:

i think 1

Step-by-step explanation:

plz brainliest I need it

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

The magnitude of vector v is 2 and the angle it makes with the positive x-axis is given as θ = 3.

The component form of vector v can be found by using the following formula:

V = ||V|| (cosθi + sinθj)

Therefore, the component form of vector v is given by:

V = 2 (cos3i + sin3j)

We can calculate the components by substituting the values for ||v|| and θ in the above formula.

Therefore, the x component of vector v is given by:

Vx = 2 cos3

Vx = 1.86

The y component of vector v is given by:

Vy = 2 sin3

Vy = 3.42

Therefore, the component form of vector v is given by:

V = 1.86 i + 3.42 j

This can be represented graphically as shown in the figure.

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

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Answer:

c

Step-by-step explanation:

10 is to high compared to 6

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

The domain restrictions for (f/g)(x) are (c) x = 0, 6

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

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

96

Step-by-step explanation:

The least common denominator or lowest common denominator is the smallest multiple that the denominator (that is the number on the bottom of a fraction) has in common.

Since 32, and 3 have no common factors, one simply has to multiply them to find the least common denominator.

32 * 3 = 96

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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For a large sample size (greater than 30), distribution is normal.

An insurance company claims that in the population of homeowners, the mean loss and standard deviation from fire is

μ = $250

o = $5000

The distribution of loss is strongly right skewed.

a). Since for a simple random sample of size n= 15 drawn from  the population of homeowners.

Since the given sample size is small. Therefore for small sample size less the 30 the distribution of

follow t- distribution.

Since t distribution has more variance than normal distribution.

Also t- distribution is symmetric as normal distribution at t=0.

For small sample size sampling distribution is t -distribution.

b). Now if the simple random sample of size n = 10000 drawn from the population of homeowners.

Thus for the large sample size and given mean and standard deviation sampling distribution of x follow normal distribution. Also we know that normal distribution have a bell-shaped curve which is symmetric to z=0.

For a large sample size (greater than 30), distribution is normal.

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Answer:you just have to mutlkplaye 5 and 12 like what’s nine plus ten 21

Step-by-step explanation:

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

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Answer:

18

Step-by-step explanation:

3x6 = 18