An ice cream stand uses the expression to determine the cost (in dollars) of an ice cream cone that has scoops of ice cream.2 + 0.5x2+0. 5x2, plus, 0, dot, 5, xxxx
How much does an ice cream cone with scoops cost?55

Pythagorean theorem

in the right angle triangles there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem.

This theorem states that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the remaining two sides.

we only use Pythagorean theorem to find the length of the missing side of a right angled triangle only.

Answer:

D

Step-by-step explanation:

Answer:D) SAS

Step-by-step explanation:

USA test prep

Answer:

Angle kjm is 56 °

you equate 7x with 3x +16

ie

3x + 16 = 7x

Answer:

AC

Step-by-step explanation:

Answer:

-3, 2 & 3, -2

Step-by-step explanation:

If you plot the equation, the line goes through a and c

Answer:

How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back

Answer:12.3

Step-by-step explanation:

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

Answer:

667

Step-by-step explanation:

Answer:

It will be

1. 3

2.2

3.5

Step-by-step explanation:

HOpe this helps!

Answer:

Explanation: From the three points, we can find three equations with three unknowns, by using the standard form of a quadratic function:

Solving (1) (2) and (3) gives use a b c: which is solved as follows:

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:

\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)

b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:

\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)

c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.

The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:

\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)

d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:

\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)

This probability is extremely small, so it can be considered unusual and not typical variation.

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Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In  2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5 miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

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Hello, let's  note a the positive real number.

A positive real number is 4 less than another.

So, the other number is a - 4

When 8 times the larger is added to the square of the smaller, the result is 96.

So, we need to solve the following equation.

\(8a+(a-4)^2=96\)

Let's do it!

\(8a+(a-4)^2=96\\\\8a+a^2-8a+16=96\\\\a^2=96-16=80=4^2*5\\\\a=\pm4\sqrt{5}\)

As a is positive, there is only one solution which is.

\(\Large \boxed{\sf \bf \ \ a=4\sqrt{5} \ \ }\)

Thank you.

The amount given by the sum of numbers can be presented in an equation

form from which the value of each number can be obtained.

The large number is 4·√5, the smaller number is 4·(√5 - 1)

Reason:

Let x represent the large number, we have;

The smaller number = x - 4

8 × x + (x - 4)² = 96

8·x + (x - 4)² = 96

Required:

The values of the numbers

Solution:

8·x + (x - 4)² = 8·x + x² - 8·x + 16 = 96

8·x - 8·x + x² + 16 = 96

x² + 16 = 96

x² = 96 - 16 = 80

x = ±√(80) = ±4·√5

Given that the numbers are positive, we have;

The large number, x = 4·√5

The smaller number = x - 4 = 4·√5 - 4

The smaller number = 4·√5 - 4 = 4·(√5 - 1)

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Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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we need to use the concept of the right triangle formed by the angle and the point in the coordinate plane.

Let's call the angle in standard position θ. The point (-1, 5) lies on the terminal side of θ. We can use the Pythagorean Theorem to find the length of the adjacent side (x) and the opposite side (y) of the right triangle formed by θ and the point.

x = √((-1)^2 + 5^2) = √(1 + 25) = √26

y = 5

The values of the six trigonometric functions of θ can then be found as follows:

sin(θ) = y/r = 5/√26

cos(θ) = x/r = -1/√26

tan(θ) = y/x = 5/(-1) = -5

csc(θ) = 1/sin(θ) = √26/5

sec(θ) = 1/cos(θ) = -√26

cot(θ) = 1/tan(θ) = -1/5

where r is the distance from the origin to the point, which can be found using the distance formula:

r = √((-1)^2 + 5^2) = √26

So the values of the six trigonometric functions of the angle in standard position with a point of (-1, 5) on its terminal side are: sin(θ) = 5/√26, cos(θ) = -1/√26, tan(θ) = -5, csc(θ) = √26/5, sec(θ) = -√26, and cot(θ) = -1/5.

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"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

f(3) = 23

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer:

d. median of 1999 data

Step-by-step explanation:

a=10,249.25 (add all the 1998 data then divide by 4)

b=619 (add all 1999 data then divide by 4)

c= 2568 10050 12047 16332

10050+12047/2

d=3026 9904 13063 16546

9904+13063/2

Answer:

I think 25.5678

it's the correct answer

Step-by-step explanation:

gamsahamnida

Given that he uses the graph to keep track of the number of people inside the music hall by looking at the number of scanned tickets.

• Where:

x = 0 represents the time 6 pm

If the line is extended, let's determine what the value of y when x = 4 would tell us

Since when x = 0, the time is 6 pm.

When x = 4, the time will be:

6 pm + 4 = 10 pm

The line of best fit is always used for the prediction of data.

Therefore, if the line is extended, the value of y when x = 4 will tell us a prediction of how many people will be in the music hall at 10 o'clock.

ANSWER:

A. A prediction of how many people will be in the music hall at 10 o'clock.

The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

According to the statement,

if B bisects AC ⇒ AB = BC

then, B is the midpoint.

The inverse of this will be-

if B is the midpoint of AB ⇒ AB = BC

then, B bisects AB

This can be written as-

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Thus, option 3 is the correct answer.

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Your question was incomplete. Check below for full content-

Which statement is the contrapositive of the conditional statement:

Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Answer:

7

Step-by-step explanation:

To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.

Answer: 7

Step-by-step explanation:

1. put them in order from least to greatest = 2, 3, 6, 6, 7, 8, 8, 8, 15

2. find the number in the middle = 7

Hope I helped, have an amazing day!!