what is the area of a pizza id the diameter is 80yards use 3.14

Answer: B and c

Step-by-step explanation: B and c

Answer:

A) Parabola opening up

B) Line with a negative slope

c) horizontal line

Step-by-step explanation:

A) Parabola opening up - because function f(x) contains positive \(x^{2}\)

B) Line with a negative slope - because function g(x) has a negative x

c) horizontal line - because function k(x) is a constant with no variables

Answer:

temperature on Monday= -4°C

temperature on Tuesday= -4-2°C = -6°C

temperature on Wednesday = -6°C + 5°C = -1°C

Step-by-step explanation:

hope it helps ❤️

The Taylor series for f(x) = sin(x) centered at a = π is ∑n=0[infinity] (−1)^n (x−π)^(2n+1)/(2n+1)! by applying limit, we get our radius of convergence as
R = ∞.

To find the Taylor series for f(x) = sin(x) centered at a = π, we use the formula:

f(x) = ∑n=0[infinity] (f^(n)(a)/(n!))(x-a)^n

where f^(n)(a) denotes the nth derivative of f evaluated at a. Since sin(x) is its own derivative, we have:

f^(n)(π) = sin(π + nπ/2) = { 0 if n is even, (-1)^((n-1)/2) if n is odd }

Substituting these values into the formula and simplifying, we obtain the Taylor series:

f(x) = ∑n=0[infinity] (-1)^n (x-π)^(2n+1)/(2n+1)!

The radius of convergence of this series can be found using the ratio test:

lim┬(n→∞)⁡|(-1)^(n+1)(x-π)^(2n+3)/(2n+3)!|/|(-1)^n(x-π)^(2n+1)/(2n+1)!| = |x-π|

Since the limit is equal to |x-π|, the series converges for all x such that |x-π| < ∞, which is equivalent to saying that the radius of convergence is R = ∞.

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SOLUTION:

We want to construct the augmented matrix for these equations;

We start by writing the equations with variables on the right and constants on the left; multiplying equation 1 by 3, we have;

Expanding equation 2 and collecting like terms, we have;

Expanding equation 3 and collecting like terms, we have;

Writing the 3 equations, we have;

Putting this in augmented matrix form we have;

Which is the final answer

Answer:

They are discounted for 38% off.

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

The statement provides two conditions to evaluate the relationship between x and y. The relationship between x and y cannot be determined based on the given information.

The statement provides two conditions to evaluate the relationship between x and y.

(1) x > y: This condition alone does not provide enough information to determine the relationship between x and y. We don't know the specific values or any other constraints that could help establish a comparison.

(2) x^3 > y: This condition alone also does not provide enough information to determine the relationship between x and y. The relationship between x and y depends on the values of x and y, which are not specified in the given statement.

Without any additional information or specific values for x and y, we cannot determine the relationship between x and y based on the given conditions. The comparison of x and y depends on their specific values and the relationship between them, which are not provided in the statement.

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Answer:

the answer is \(m=-5\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps :)

We need approximately 12 servings of Designer Whey and 2 servings of Muscle Milk to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates.

Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk needed to obtain a 7-day supply that provides exactly 262 grams of protein and 54 grams of carbohydrates.

From the information given, we know that each serving of Designer Whey provides 20 grams of protein and 3 grams of carbohydrates, and each serving of Muscle Milk provides 16 grams of protein and 9 grams of carbohydrates.

Therefore, we can set up the following system of equations:

20x + 16y = 262

3x + 9y = 54

To solve for x and y, we can use any method of solving a system of equations. For example, we can use substitution:

From the second equation, we can solve for x in terms of y:

x = (54 - 9y)/3 = 18 - 3y

Substituting this into the first equation, we get:

20(18 - 3y) + 16y = 262

Simplifying, we get:

80y = 182

Solving for y, we get:

y = 2.275

Substituting this into the equation x = 18 - 3y, we get:

x = 12.175

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Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

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Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

Answer: 0.0016

Step-by-step explanation:

5^3 = 125

5^-7 = 0.0000128

125 * 0.0000128 = 0.0016

Factors of the polynomial are: (x - 3)(x + 3)(x - 5).

What if factoring polynomial?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain by the process of factorization of polynomials, also known as polynomial factorization.

Given:  

We have to show tat x - 5 is a factor of the polynomial and to find the factor of the polynomial.

First to show x - 5 is a factor of the given polynomial.

We know that,

If x - 5 is the factor of the given polynomial then by factor theorem x - 5 = 0.

So, x = 5

Plug x = 5 in t(x).

t(5) = 0

That means 5 is the zero of the polynomial t(x).

Therefore, x - 5 is the factor of the polynomial.

Now, to factor the polynomial.

Therefore, after factoring the polynomial we get, .

Answer:

The steps on how to show that the binomial is a factor of the polynomial and then factor the polynomial completely are:

1. Set the binomial equal to 0.

x - 5 = 0

2. Solve for x.

x = 5

3. Substitute the value of x into the polynomial.

t(5) = 5^3 - 5(5^2) - 9(5) + 45

t(5) = 125 - 125 - 45 + 45

t(5) = 0

4. Since the value of the polynomial is 0 when x = 5, the binomial (x - 5) is a factor of the polynomial.

5. To factor the polynomial completely, we can use the difference of squares factorization.

t(x) = (x - 5)(x^2 + 9)

The complete factorization of the polynomial is:

t(x) = (x - 5)(x^2 + 9)

A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

A polynomial expression is of the form:-

\(ax^{2}+bx+c\)

Here, it consists of variable x, constants a, b and c and operations + and *.

Hence, it is a polynomial expression.

This particular polynomial expression is a quadratic expression.

Other examples of polynomial expressions are :-

5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.

A general polynomial expression can be written as:-

\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)

It has (n + 1) terms, with variable x,  (n + 1) constants and operations + and *.

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The diameter of a new ball is 4.0ft

According to the statement

we have given that the the company wants to spend a maximum of $1 each.

And we have to find a diameter of a new ball.

Remember that for a sphere of diameter D, the surface area is

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

here the diameter of a ball is 4.0ft.

So, The diameter of a new ball is 4.0ft

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Answer:

b =✓45

Step-by-step explanation:

9^2-6^2

√45

b= ✓45

Answer:

Description

Step-by-step explanation:

a. 2 solutions

b. 2 imaginary solutions

c. If the discriminant is positive, then it will have 2 real solutions as the square root of a positive number always equals a positive number. If the discriminant is negative, the quadratic equation will have 2 imaginary solutions, as the square root of a negative number is always imaginary. If the discriminant equals 0, it will have only 1 real solution.

Answer:

401 meters    

Step-by-step explanation:

To change the units without changing the value, we use the Multiplicative Identity (that is, 1).

The formula for the circumference of a circle is:    C=Πd

The problem gives d=85 cm, so C=85Π cm.    So, (1 revolution)=(85Π cm)  

            or 1= (85Π cm) / (1 revolution)

Billy traveled:

    150 revolutions

    (150 revolutions)*1

    (150 revolutions) * ( (85Π cm) / (1 revolution) )      [note: revolutions cancel, leaving only cm]

    (150)*(85Π) cm

    40055.27 cm * ( (1 meter)/(100 cm) )

    401 meters        (rounded to nearest meter)

(this isnt my work credits to David W.

Answer: Continuous variables

A variable is said to be continuous if it can assume an infinite number of real values within a given interval

Step-by-step explanation: yep

Answer:

100, 101, 102, 103, 104

Step-by-step explanation:

Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.

Answer:

Freya's share = 6×5=30

Sophie's share = 2×5=10

Step-by-step explanation:

6x+2x= 40

8x= 40

x= 5

Freya's share = 6×5=30

Sophie's share = 2×5=10

Hope this helps you.

E(X)\(= 1(1/36) + 2(2/36) + 3(4/36) + 4(6/36) + 5(8/36) + 6(10/36)\)

= 4.47 approximately, to two decimal places. Hence, the required values are pmf of X and E(X).

Given that two fair six-sided dice are tossed independently. Let X denotes the maximum of the six-sided two tosses a. We need to find the pmf of X and E(X).a. What is the pmf of X? Probability mass function (pmf) gives the probability of each value of a random variable.

Here X represents the maximum value when two fair six-sided dice are tossed independently. The possible values of X are {1, 2, 3, 4, 5, 6}.Since X denotes the maximum value, the pmf of X isP(X = 1) = P(1, 1) = 1/36P(X = 2) = P(1, 2) + P(2, 1) = 2/36P(X = 3) = P(1, 3) + P(2, 3) + P(3, 1) + P(3, 2) = 4/36P(X = 4) = P(1, 4) + P(2, 4) + P(3, 4) + P(4, 1) + P(4, 2) + P(4, 3) = 6/36P(X = 5) = P(1, 5) + P(2, 5) + P(3, 5) + P(4, 5) + P(5, 1) + P(5, 2) + P(5, 3) + P(5, 4) = 8/36P(X = 6) = P(1, 6) + P(2, 6) + P(3, 6) + P(4, 6) + P(5, 6) + P(6, 1) + P(6, 2) + P(6, 3) + P(6, 4) + P(6, 5) = 10/36

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1) 13:3

2) Same

3) 49:12

4) 95:14

5) 82:13

6) 7:8

7) 9:2

8) 29:5

9) Same

10) 10:13

Your basically dividing them by each other on a calculator

E.g. 90 ÷117 = 10/13

(10:13)

Or

20:30

20÷30=2/3

(2:3)

So, you could find the HCF of both numbers.

( highest factor of 20 & 30 is 10)

Hope this helps!

To determine if triangle XYZ and triangle X'Y'Z' are the same shape and size, we need to compare their corresponding angles and side lengths.

Angle Comparison: Check if the corresponding angles in both triangles are equal. If all three angles of triangle XYZ are congruent to the corresponding angles of triangle X'Y'Z', then they have the same shape. However, this does not guarantee they have the same size.

Side Length Comparison: Compare the lengths of the corresponding sides. If all three sides of triangle XYZ are equal in length to the corresponding sides of triangle X'Y'Z', then they have the same size.

If both the angles and side lengths are equal for the corresponding parts of the triangles, then triangle XYZ and triangle X'Y'Z' are congruent, meaning they are the same shape and size.

It's important to note that without specific measurements or additional information about the triangles, it is not possible to definitively determine if they are the same shape and size.

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Answer:

1700 dollars

Step-by-step explanation:

First year is 1100  second is 1200 etc

   1100 + 6 (100) = 1700 per month

Answer:

1 add on both sides

subtract

2

4

4

Answer:

112,808.219

I'm on a phone so, I can't explain it, but I hope this helps.

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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