Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.

Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.

50 in2
59 in2
85 in2
90 in2

Answer:

200

Step-by-step explanation:

From this information 15% = 30 and we need to find 100%:

Hope this helps!

Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

Answer:

6x-10

Step-by-step explanation:

2(3x-5)

2*3x   2*-5

6x-10

Using proportions, considering original measures of 10 feet, we have that:

A proportion is a fraction of total amount.

In this problem, the total amount is the original measures of 10 feet.

The horizontal measurement has a scale factor of 75%, hence:

\(h = 0.75(10) = 7.5\)

The vertical measurement has a scale factor of 150%, hence:

\(h = 1.5(10) = 15\)

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Answer:

y = 1/2x

Step-by-step explanation:

pass (0,0) and (10,5)

y intercept (b) = 0

slope (m) = (5-0) / (10-0) = 5/10 =1/2

equation y = mx + b

y = 1/2x

The ways the students can be seated is 239500800

From the question, we have

Total number of chairs, n = 12

Total number of students, r = 10

The number of ways the students can be seated is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 12 and r = 10

Substitute the known values in the above equation

Total = 12C10

Apply the  formula

ⁿPᵣ = n!/(n - r)!

So, we have

Total = 12!/2!

Evaluate

Total = 239500800

Hence, the number of ways is 239500800

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Answer:0,10

Step-by-step explanation: When translating you either add or subtract. If the problem says go down or to the left, you know that you will be subtracting, and if it says go up or to the right you will be adding. So up would add 4 to the x value which gives you 0 and you add 2 to the y value you get 10.

Answer:

(0, 10)

Step-by-step explanation:

-4 + 4 = 0

8 + 2

To verify, you can find the coordinates (0, 10) on a graph.

Answer:b

Step-by-step explanation:slope is -1/5. Rise over run, so you go down 1, and right 5

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

Answer:

cone: 157.08

cylinder: 502.65

sphere: 113.1

Step-by-step explanation:

We will use the formula of the distance between 2 points

We have

(2,3)=(x1,y1)

we can assume

(1,y)=(x2,y2)

the two points that we can obtain

(1,-1.89) distance from (2,3) is 5

(1,7.89) distance from (2,3) is 5

The probability of not repeating any letter when choosing a password of 7 letters from the alphabet is approximately 2.14%.

The total number of possible 7-letter passwords from the alphabet (repetition allowed) is 26^7 = 8,031,810,176. To calculate the number of passwords with no repeated letters, we can use the permutation formula nPr = n!/(n-r)!, where n is the number of items to choose from (26 letters in the alphabet) and r is the number of items to choose (7 letters for the password).

Therefore, the number of 7-letter passwords with no repeated letters is 26P7 = 6,634,204,312. The probability of choosing such a password is the number of desired outcomes (6,634,204,312) divided by the total number of possible outcomes (8,031,810,176), which is approximately 0.0214 or 2.14%.

Therefore, the probability of not repeating any letter when choosing a password of 7 letters from the alphabet (repetition allowed) is approximately 2.14%

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Discrete mathematics is a branch of mathematics that deals with objects that can assume only distinct, separated values and can be counted. It has played a significant role in reducing cultural distinctions by providing a unifying language for the field of mathematics and a common understanding for solving problems across cultures.

Through discrete mathematics, people from different backgrounds and cultures can communicate and collaborate more effectively, breaking down cultural barriers and promoting unity.

For example, discrete mathematics has been used to create algorithms that solve complex problems in computer science, cryptography, and optimization, making it possible for people from different cultures to work together to solve these problems.

Additionally, the standardization of mathematical language and symbols through discrete mathematics has made it easier for people to understand and share mathematical ideas across cultures, further promoting unity and reducing cultural distinctions.

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p(A or B) = P(A) + P(B) - p(A and B)

The missing probability is P(B)

Sets are an organized collection of objects. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set.

In set theory, the operations of the sets are carried when two or more sets combine to form a single set under some of the given conditions. The basic operations on sets are:

p(A or B) = P(A) + P(B) - p(A and B) is a formula used in finding the probability of an event in a set sample.

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There probability are 10,000 possible combinations of 3 digits and 26^4 possible combinations of 4 letters, meaning there are a total of 260,000 possible standard plates in this system.

Standard automobile license plates in a state display 3 digits (from 0-9) followed by 4 letters (from a to z). This means there are 10,000 possible combinations of 3 digits (10 x 10 x 10). Additionally, there are 26^4 possible combinations of 4 letters (26 x 26 x 26 x 26). When multiplied together, this means there are 260,000 possible standard plates in this system. For example, a possible plate could be 123ABC, where 1, 2, and 3 are the 3 digits and ABC are the 4 letters. As long as all 3 digits are from 0-9 and all 4 letters are from a-z, it is a valid standard plate. Therefore, there are a total of 260,000 possible standard plates in this system.

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Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees

Answer:

no

Step-by-step explanation:

The points A(2, -1, 4), B(3, 1, 2), C(0, 5, 6), and D(-1, 3, 8) form a parallelogram. The area of the given parallelogram is 12 square units.  It is not a rectangle.

To verify if the given points form a parallelogram, we need to check if both pairs of opposite sides are parallel.

The vectors formed by the sides AB and CD are AB = (1, 2, -2) and CD = (-1, -2, 2). The vectors formed by the sides BC and AD are BC = (-3, 4, -4) and AD = (-3, 4, -4).

Comparing these vectors, we can see that AB and CD are parallel, as are BC and AD. This indicates that the given points A, B, C, and D form a parallelogram.

To find the area of the parallelogram, we can use the cross product of the vectors AB and AD (or BC and CD) to find the area of the corresponding parallelogram. The magnitude of the cross product of AB and AD is |AB × AD| = 12.

Since the area of a parallelogram is equal to the magnitude of the cross product of its adjacent sides, the area of the given parallelogram is 12 square units.

To determine if the parallelogram is a rectangle, we can check if any of its angles are right angles. However, since the given points do not have any indication of angles, we cannot determine if the parallelogram is a rectangle based on the information provided.

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For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.

Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl

L is the patient's blood test level.

It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.

We need to find L

We know

P(128>L) = 0.02

or, 1 - P(128 ≤ L) = 0.02

or, P(128 ≤ L) = 0.98

We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.

P(X < x) = Φ[(x - μ)/σ]

where,

μ = mean

σ = standard deviation

Therefore,

Φ[(L - 128)/8] = 0.98

we see that for a Z score of 2.06,

Therefore we get

(L - 128)/8 = 2.06

or, L - 128 = 16.48

or, L = 128 + 16.48

= 144.48

Therefore, the value of L would be 144.48

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Complete Question

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.

If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?

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Answer:

What are the coordinates for point C?

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

Answer:

B. Clyde’s work is correct because Tamara did not subtract the terms correctly.

Step-by-step explanation:

got it right on edge2020

The division gives the Quotient is x² + 5x - 2.

A polynomial function is a function in an equation that contains only   positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.

We have the Expression as,

2\(x^4\) + 7x³ - 18x² +11 x - 2  

Now, divide the above polynomial from we get 2x² -3x + 1.

First, factorizing 2\(x^4\) + 7x³ - 18x² +11 x - 2  we get

= (x - 1)(2x - 1) (x² + 5x - 2)

and, factorizing 2x² -3x + 1

= (2x- 1)(x -1)

So, (2\(x^4\) + 7x³ - 18x² +11 x - 2  )/ (2x² -3x + 1)

= (x - 1)(2x - 1) (x² + 5x - 2) / (2x- 1)(x -1)

= x² + 5x - 2

Thus, the required Quotient is x² + 5x - 2.

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By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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In linear equation, the intersection at coordinate (9, 315).

What in mathematics is a linear equation?

Gym one:

f(x) =80 x + 25

Gym two:

g(x) = 35x (+ 0 [since there was no joining fee])

The first month is easy.

Gym one's cost is just the joining fee plus the one month of membership fee. Or...

105 = 80(1) + 25

Gym two's cost is just that first month's membership fee. Or...

35 = 35(1) + 0

then  second month

[f(x) = 185 = 80(2)+25

g(x) = 70 = 35(2)],

then a tenth month [

f(x) = 825 = 80(10) + 25;

g(x) = 350 = 35(10)]

and  that gym one's cost exceeded the cost of gym two,

back one month and found the answer.

By month nine, both gyms had equalized at $315.

the intersection at coordinate (9, 315).

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Answer:

B

Step-by-step explanation:

Make a commone demonatore my multiplying.

Hello!

it's 21.9 for me

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=4, -8

Step-by-step explanation:

Answer: x=8

Step-by-step explanation:

Answer: Down below :D

X = 4