help me, please cause I'm stuck

The new flat screen television that Tracy bought has a diagonal length of 56 inch

With the information given we can calculate the diagonal length of the television using the Pythagorean theorem equation.

The formula and the procedure that we have to use is:

h2= a2 + b2

Where:

Information about the problem:

Applying the Pythagorean theorem and finding the variable, we get:

h² = a² + b²

h² = (27 inch)² + (49 inch)²

h² = 729 inch² + 2401 inch²

h² = 3130 inch²

h = \(\sqrt{}\)3130 inch²

h = 55.95 inch rounding up we get 56 inch

It is a mathematical equation that relates the three sides of a right angled triangle (major side, minor side and hypotenuse) and states that the sum of the squared sides equals the squared hypotenuse. Its general equation is:

h² = a² + b²

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Answer:

19.71

Step-by-step explanation:

You would add the two values (-5.29) and 25 together

The probability of spinning a multiple of 2 on Josefina's spinner is 1/5 or 0.2.

The spinner has 15 equal sectors labeled 1 through 15, of which 7 sectors are even numbers (2, 4, 6, 8, 10, 12, 14).

There are three multiples of 2 on the spinner, which are 2, 4, and 6. Since there are a total of 15 sectors on the spinner, the probability of landing on a multiple of 2 is 3/15 or 1/5.

The probability of landing on an even number is the number of favorable outcomes (7) divided by the total number of possible outcomes (15):

P(multiple of 2) = 7/15

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The correct answer to the given question about colored congruent squares is option A) 0.4 < 0.6

This is because Raul shaded 40/100 of the squares yellow, which can also be written as 0.4 as a decimal. He shaded the other 60/100 of the squares green, which can also be written as 0.6 as a decimal. Therefore, we can compare the two decimals and say that 0.4 is less than 0.6. To show how we find the answer 0.4 < 0.6, we can follow these steps:

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Complete Question

Raul has a figure made up of 100 congruent squares. He shaded 40/ 100 of the squares yellow and the other 60/100 of the squares green. Select the decimal expression from the following

0.4 <0.6

0.04 < 0.06

0.4 = 0.6

0.04 = 0.06

0.4 > 0.6

0.04 > 0.06

Answer:

254

Step-by-step explanation:

the angle is 254

Answer:

38minutes approx

Step-by-step explanation:

Given data

Charges per minute=  $1.45

Monthly charge= $45

Let the number of minutes be x

and let the total charges for the month be y

The function for the total charge is

y= 1.45x+45

for y= 100, we want to find x

100= 1.45x+45

100-45= 1.45x

55= 1.45x

Divide both sides by 1.45 to get x

x= 55/1.45

x= 37.93

Hence the number of minutes is 38minutes approx

Answer:

B. 8

Step-by-step explanation:

Step 1: Find g(-2)

g(-2) = (-2)² + 1

g(-2) = 4 + 1

g(-2) = 5

Step 2: Find f(5)

f(5) = 2(5) - 2

f(5) = 10 - 2

f(5) = 8

Answer:

225 = (1,3,5,9,15,25,45,75,85,225.)

Step-by-step explanation:

Factors of 225

225 = (1, 3 ,5, 9, 15, 25, 45, 75, 85, 225).

Factors of 225 are (1, 3 ,5, 9, 15, 25, 45, 75, 225).

What is a factor?

Factors are the numbers that can divide a number exactly.  Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Some of the important properties of factors of a number are listed below:

Now,

Using multiplication method

We can multiply only odd numbers for 225 because 225 is odd. So,

1*225=225

3*75=225

5*45=225

9*25=225

15*15=225

As multiplication of these numbers is equal to 225

Hence,

            Factors of 225 are (1, 3 ,5, 9, 15, 25, 45, 75, 225).

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No, it does not necessarily follow that if ∃y∀xP(x, y) is true, then ∀x∃yP(x, y) is true. The order of the quantifiers matters in this case.

The statement ∃y∀xP(x, y) means "There exists a y such that for all x, P(x, y) is true." This means that there is a single value of y that works for all possible values of x.

On the other hand, the statement ∀x∃yP(x, y) means "For all x, there exists a y such that P(x, y) is true." This means that for each individual value of x, there is a corresponding value of y that makes P(x, y) true.

The difference between the two statements lies in the order of the quantifiers. In general, the order of quantifiers cannot be interchanged, and the truth value of the statement can change depending on the order. Therefore, the truth of ∃y∀xP(x, y) does not imply the truth of ∀x∃yP(x, y).

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There are 5760 integers less than 9975 that are relatively prime to 9975.

To determine the number of integers less than 9975 that are relatively prime to 9975, we need to use Euler's Totient Function (ϕ).

Relatively prime integers share no common factors other than 1.

First, let's factorize 9975: 9975 = 3 × 5² × 7².

Now, we'll apply the formula for the Euler's Totient Function:

ϕ(9975) = 9975 × (1 - 1/3) × (1 - 1/5) × (1 - 1/7)

ϕ(9975) = 9975 × (2/3) × (4/5) × (6/7)

ϕ(9975) = 5760

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Answer:   y=-x-8

Step-by-step explanation:

do it i still gotchu

Answer:

y = -x + 2

Step-by-step explanation:

(-3,5) and (4,-2)

Slope: (-2-5)/(4 - - 3) = -7/7 = -1

y-intercept= -2 - (-1)(4) = -2 + 4 = 2

Answer:

ayla had 45 cupcakes for the class jayla gave a number out to the cladd Jayla took 15 cupcakes back home what is the does n equal to

The scalar multiplication \(k(\overrightarrow{a}+\overrightarrow{b})=k\overrightarrow{a}+k\overrightarrow{b}\)has been proved.

Scalar Multiplication Property:

Basically a scalar means the real number.

The scalar multiplication property states that the product of a sum or difference of a number is equal to the sum or difference of the products.

The general form of scalar multiplication as follows:

k (A + B) = kA + k B

where

k is the scalar.

Given,

Let

\(\overrightarrow{a}= < x_1,y_1 >\)

and

\(\overrightarrow{b}= < x_2,y_2 >\)

Then we have to prove the following scalar multiplication property,

\(k(\overrightarrow{a}+\overrightarrow{b})=k\overrightarrow{a}+k\overrightarrow{b}\)

We know that,

"The vector is an object that has both a magnitude and a direction. And  vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction."

Here we have two vectors like \(\overrightarrow{a},\overrightarrow{b}\).

Now we need to use the definition of the scalar multiplication property,

Then, the LHS of the expression is written as,

\(\implies k(\overrightarrow{a}+\overrightarrow{b})\)

Apply the values of the vectors then we get,

=> k(<x₁, y₁> + <x₂, y₂>)

When we expand the terms then we get,

=> k<x₁, y₁> +  k<x₂, y₂>

And it can be written as,

\(\implies k\overrightarrow{a}+k\overrightarrow{b}\)

Therefore, the scalar multiplication property has been proved.

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Answer:

59.5

Step-by-step explanation:

Half dozen = $4.25

Full Dozen = 2 X (4.25)

= 8.5

7 Dozens price = 7 X 8.5 =

= $59.5

Answered by Gauthmath

Answer:

yes 1/8 =5/40 :)

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: 1/8 2/16 3/24 4/32 5/40

1/8 x 5/5 = 5/40

Answer:

48.3%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

29 x 1.6666666666667

60 x 1.6666666666667

=  

48.333333333333

100

Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is \(w\), then the length is \(w+3\).

\(w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4\)

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Answer:

y=x-7

Step-by-step explanation:

Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7

$$minimum_-value_-y=-20$$To graph properly, we must observe the maximum and minimum values of our variables x and y.

First we need to know if our values in x and y are even, odd or both:

For the case of x: the points can be either even or odd, and the separation between them is not uniform, which is why the increment of the x-axis must be 1.

For the case of y: the points are all even, so the increment of the y-axis can be 2

Now to know where the maximum and minimum values of x and y should be, we will take as a reference the value of the increase of the axes and we will multiply it by 2 and we will add it to the maximum value and we will subtract it from the minimum value in both axes. As follows:

• Minimum x-value : 0

• Maximum x-value : 27

• Increment for x-axis : 1

• Minimum y-value : -24

• Maximum y-value : 30

• Increment for y-axis : 2

Let's start by finding the surface area of the parametric surface given by

To find the surface area, we need to evaluate the integral:

where

The surface area can be expressed in terms of a double integral over the parameter domain of the surface, which is the square [0,1] × [0,1]:

First, we need to compute the partial derivatives:

Then, we can compute the cross product:

Finally, we can compute the magnitude of the cross product:

Thus, the surface area of the parametric surface given by

is

Now, to find the surface area of the parametric surface given by

we can use the same method. The partial derivatives are:

The cross product is:

And the magnitude of the cross product is:

Thus, the surface area of the parametric surface given by

is

Therefore, the surface area of the second parametric surface is 2 times the surface area of the first parametric surface, which is 2.

The given parametric surface has a surface area given by 2π.

To find the surface area of the parametric surface given by  with , we need to use the formula for the surface area of a parametric surface:

A = ∫∫ ||(∂f/∂u) x (∂f/∂v)|| dudv

where ||(∂f/∂u) x (∂f/∂v)|| is the magnitude of the cross product of the partial derivatives of the parametric equations, and dudv is the area element in the u-v plane.

For the given parametric surface, we have:

x = u
y = v
z = uv

So, the partial derivatives are:

∂f/∂u = i + vj
∂f/∂v = ui + uk

Taking the cross product, we get:

(∂f/∂u) x (∂f/∂v) = -vj + uuk - vk

Taking the magnitude, we get:

||(∂f/∂u) x (∂f/∂v)|| = √(1 + u² + v²)

So, the surface area is:

A = ∫∫ √(1 + u² + v²) dudv

To evaluate this integral, we can use a change of variables:

x = u
y = v
z = √(1 + u² + v²)

which gives us a surface that is a hemisphere of radius 1. The surface area of a hemisphere is given by:

A = 2πr²

So, in this case, the surface area is:

A = 2π(1)² = 2π

Therefore, the surface area of the parametric surface given by  with  is 2π.

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A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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The scenarios do not have a binomial distribution because they violate the requirements of independence, fixed number of trials, and constant probability of success.

Q1: The random variable X1, which represents the number of red tokens selected from the bucket, does not have a binomial distribution because the sampling is done without replacement. In a binomial distribution, each trial must be independent and have the same probability of success. However, in this scenario, the probability of selecting a red token changes with each draw as the number of red tokens in the bucket decreases. Therefore, the trials are not independent, and the distribution cannot be binomial.

Q2: The random variable X2, which represents the number of tails tossed prior to the tenth head in repeated coin tosses, does not have a binomial distribution because the number of trials is not fixed. In a binomial distribution, the number of trials must be predetermined and fixed. However, in this scenario, the number of coin tosses is not fixed and can vary until the tenth head is obtained. Therefore, the number of tails tossed prior to the tenth head does not follow a binomial distribution.

Q3: The random variable X3, which represents the total number of red tokens drawn from four buckets, does not have a binomial distribution because the probabilities of success (drawing a red token) are not constant across the buckets. In a binomial distribution, each trial must have the same probability of success. However, in this scenario, each bucket has a different number of red tokens, resulting in different probabilities of drawing a red token. Therefore, the trials are not identically distributed, and the distribution cannot be binomial.

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Answer:

56%

Step-by-step explanation:

divide 14/25 = 0.56

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

The answer is 3.0 x 10^13

Answer: \(3x10^1^3\)

Explanation: When writing a number in scientific notation, the decimal point should be placed or moved until the coefficient is higher than 1 and less than 10.

Answer:

k = 2

Step-by-step explanation:

Formula to find a slope:

Coordinates of the first line:

Coordinates of the second line:

Slopes of the lines:

Since m₁ = - 1/m₂, we have:

So the answer is 2