HELP ME IM GIVING 16 BRAINLIEST IF HELP

Answer:

C

Step-by-step explanation:

The equation that shows the whole amount of pizza Miah ate on Saturday is 3/32 of the whole pizza

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

This word problem are interpreted to mathematical equation

The left over is calculated is 3/8

therefore 5/8 of the pizza is left for Saturday

On Saturday she ate 1/4 of the pizza

= 1/4 × 3/8

= 3/32

therefore Miah ate 3/32 of the whole pizza on Saturday.

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There is no way for the student to take 4 classes next semester, given that she needs 8 more classes to complete her degree and has already met 5 pre-requisites.

Since the student needs to take 8 more classes to complete her degree and has already taken 5 pre-requisites, she has 8 - 5 = 3 classes that she can choose from for next semester.

To calculate the number of ways she can take 4 classes next semester, we can use the combination formula:

nCr = n / (r × (n-r))

where n is the number of classes she can choose from (which is 3), and r is the number of classes she will take next semester (which is 4).

Plugging in the values, we get:

3C4 = 3 / (4 × (3-4)) = 0

Since we cannot choose 4 classes from a set of 3 classes, the answer is 0.

Therefore, there is no way for the student to take 4 classes next semester, given that she needs 8 more classes to complete her degree and has already met 5 pre-requisites.

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Expressions A, B, and F are equivalent to (a²-16(a+4)).

Equivalent is a term that means equal in value, measure, force, effect, or significance. It can be used to describe two or more things that are of the same value or having the same characteristics. For example, a 1:1 ratio is said to be equivalent because it has the same value on both sides. Equivalent can also mean having the same or similar effect, such as two different treatments for a disease that have the same outcome.

The expressions A, B, and F are equivalent to (a²-16(a+4)). Expression A is equal to a² - 16a - 64. This expression can be rewritten as a³ - 64, which is equal to A. Expression B is equal to (a - 4)³. This expression can be rewritten as a³ - 64, which is equal to A. Expression F is equal to [(a)²-(4^2)](a+4). This expression can be rewritten as (a² - 16)(a+4), which is equal to A. Therefore, expressions A, B, and F are equivalent to (a²-16(a+4)).

Expression C is equal to (a+4)³, which is not equivalent to (a²-16(a+4)). Expression D is equal to (a+4)²(a-4), which is not equivalent to (a²-16(a+4)). Expression E is equal to (a-4)²(a+4), which is not equivalent to (a²-16(a+4)). Expression G is equal to(a-4)(a+4)(a+4), which is not equivalent to (a²-16(a+4)). Therefore, expressions C, D, E, and G are not equivalent to (a²-16(a+4)).

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Plotting the data and visually examining the connection between x and y equation is often the best method for identifying which equation best describes the line of best fit.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions.

Based on the above equations, y = x + 5 or y = x - 5 would be the most plausible contenders. Both of these equations have the typical slope for a linear connection, which is a straight line slope of 1.

While the y-intercept of the equation y = x + 15 has a significantly bigger value than would be predicted based on the other possibilities, the slope of the equation is 1. Similar to that, the slope of the equation y = 2x - 15 is 2.

Plotting the data and visually examining the connection between x and y is often the best method for identifying which equation best describes the line of best fit.

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The given set of vectors in R4 is linearly independent and  the vector u as a linear combination of the vectors v1, v2, and v3  can be written as u = (7,12,22)

a) To determine if the set of vectors in R4 is linearly independent or linearly dependent, we can use the rank of the matrix formed by these vectors. If the rank of the matrix is equal to the number of vectors, then the set is linearly independent. Otherwise, it is linearly dependent.

First, let's form the matrix using the vectors:

| 1 0 -1 0 |
| 1 1 0  2 |
| 0 3  1 -2 |
| 0 1 -1  2 |

Next, let's find the rank of the matrix. We can do this by using Gaussian elimination to reduce the matrix to row echelon form:

| 1 0 -1 0  |
| 0 1  1 -2 |
| 0 0  4 -6 |
| 0 0  0  4 |

The rank of the matrix is 4, which is equal to the number of vectors. Therefore, the set of vectors is linearly independent.

b) To write the vector u as a linear combination of the vectors v1, v2, and v3, we need to find the scalars a, b, and c such that:

u = av1 + bv2 + cv3

This gives us the following system of equations:

10 = 2a + b - 2c
1 = 3a + 2b + 2c
4 = 5a + 4b + 3c

We can use Gaussian elimination to solve this system of equations:

| 2  1 -2 | | a | = | 10 |
| 3  2  2 | | b | = |  1 |
| 5  4  3 | | c | = |  4 |

After reducing the matrix to row echelon form, we get:

| 1 0  1 | | a | = | 2 |
| 0 1 -2 | | b | = | 3 |
| 0 0  0 | | c | = | 0 |

From the third equation, we can see that c can be any value. Let's choose c = 0. Then, from the first two equations, we get:

a = 2
b = 3

Therefore, the vector u can be written as a linear combination of the vectors v1, v2, and v3 as follows:

u = 2v1 + 3v2 + 0v3

u = (2)(2,3,5) + (3)(1,2,4) + (0)(-2,2,3)

u = (4,6,10) + (3,6,12) + (0,0,0)

u = (7,12,22)

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The value of an investment with $1000 as principal amount compounding annually for 3 years with interest rate 7.5% is $1242.29

The interest rate is the amount that the lender charges the borrower and is the principal - a percentage of the loan amount. Loan interest rates are usually quoted on an annual basis known as the annual rate (APR). 

Solution according to the given information in the question:

Given, Principal = $1000

           Time = 3 years

           Interest rate = 7.5%

∴ Amount = P×(1 + r/100)³

                 = 1000×(1 + 7.5/100)³

                 = 1000×(1 + 0.075)³

                 = 1000×(1.075)³

                 = 1000 × 1.24

Amount   = $1242.29

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Answer:

The area of the whole rectangle is 28 cm^2

Step-by-step explanation:

since both triangles are congruent, they have the same area. 14 x 2 = 28

Maximum [184] Angles that this occurs [π/32 + nπ/4]
Minimum [116] Angles that this occurs [π/32 + (2n+1)π/8]

The maximum and minimum values of a trig function can be found by using the amplitude and the vertical shift of the function. The amplitude of the function is the absolute value of the coefficient of the cosine function, which is |-34| = 34. The vertical shift of the function is the constant term, which is 150. Therefore, the maximum value of the function is 34 + 150 = 184 and the minimum value of the function is 150 - 34 = 116.

To find an angle in the interval [0, π/4) where the maximum value occurs, we can use the fact that the cosine function has a maximum value of 1 when the angle is 0. Therefore, we can set the argument of the cosine function, 8x - π/4, equal to 0 and solve for x:

8x - π/4 = 0
8x = π/4
x = π/32

Since π/32 is in the interval [0, π/4), this is one of the angles where the maximum value occurs.

Therefore, the maximum value of the function is 184 and it occurs at angles x = π/32 + nπ/4, where n is an integer. The minimum value of the function is 116 and it occurs at angles x = π/32 + (2n+1)π/8, where n is an integer.

Maximum [184] Angles that this occurs [π/32 + nπ/4]
Minimum [116] Angles that this occurs [π/32 + (2n+1)π/8]

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We have the solve using the quadratic equation as;

Step 2:

a = 1

b = -5

c = -14

Step 3:

What 1: (-5)²

What 2: 1

What 3: -14

What 4: 1

The quadratic equation is expressed as;

ax² + bx + c = 0

x = -b ± [tex]\sqrt{b^2 - 4ac}[/tex]/2a

From the information given, we have that;

x² -5x - 14 = 0

Now, substitute the values, we get;

x = - (-5) ± [tex]\sqrt{(-5)^2 - 4 * 1 * -14}[/tex]/ 2(1)

find the square and substitute the values, we have;

x = 5 ± [tex]\sqrt{25 + 56}[/tex]/2

Add the values, we have;

x = 5 ± √81/2

Find the square root

x = 5 ±9/2

x = 5 ± 4. 5

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Answer:

Step-by-step explanation:

a. The probability that x=10 in a Poisson distribution with µ = 7 is 0.0942.
b. The probability that x > 5 in a Poisson distribution with µ = 7 is 0.4790.

A discontinuous probability distribution is a Poisson distribution. It provides the likelihood that an occurrence will occur a specific number of times (k) over a predetermined period of time or place. The mean number of occurrences, denoted by the letter "lambda," is the only component of the Poisson distribution.

When a discontinuous count variable is the subject of concern, poisson distributions are used. Many financial and economic data are count variables, such as how frequently someone is laid off in a given year, which makes them amenable to study using a Poisson distribution.

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Answer:

Step-by-step explanation:

lol sorry I know it but don’t know how up to right it sorry

The Surface Area of Container is 954. 56 inch².

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area.

As, we Know the Surface Area of Cylinder

= 2πr² + 2πrh

Radius of the base = 8 inches

Height of the cylinder = 11 inches.

Now, putting the values we get

= 2πr² + 2πrh

= 2 x 3.14 x 8 x 8 + 2 x 3.14 x 8 x 11

= 401.92 + 552.64

= 954. 56 inch²

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There is only one solution for this equation. v = 31/4 is the only solution to this equation.

To solve for v in the equation (3)/(4v)+(7)/(v)=1, we need to get a common denominator and then solve for v.

Step 1: Get a common denominator. The common denominator for 4v and v is 4v. So, we will multiply the second fraction by 4/4 to get a common denominator:
(3)/(4v)+(7*4)/(v*4)=1

Step 2: Simplify the fractions:
(3)/(4v)+(28)/(4v)=1

Step 3: Combine the fractions:
(3+28)/(4v)=1

Step 4: Simplify the numerator:
(31)/(4v)=1

Step 5: Cross-multiply to solve for v:
31=4v

Step 6: Divide both sides by 4 to get v:
v=31/4

The solution is v=31/4.

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Check the picture below.

[tex]\boxed{4} \\\\\\ (x+3)^2~~ = ~~[(x-1)+10](x-1)\implies x^2+6x+9~~ = ~~(x+9)(x-1) \\\\\\ x^2+6x+9~~ = ~~x^2+8x-9\implies 6x+9=8x-9\implies 9=2x-9 \\\\\\ 18=2x\implies \cfrac{18}{2}=x\implies 9=x[/tex]

The total yards gained by Jordan's team is 4.

What is Expression ?

Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.

On first day, Jordan's football team gained 12 yards.

On second day, Jordan's football team lost 8 yards.

So, The total yards(net) would be :

= total yards gained by team - total yards lost by team

=  12 - 8

= 4 yards.

Here, total yards gained by team is the first expression while total yards lost by team is the second expression.

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The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.

The function for this given problem is defined as follows:

y = 1.5x² + 4x - 2.

a 1.5, b 4, c -2.

By Solving the equation we get these values,

x = -3.09, hence function passes through the point (-3.09, 0).

x = 0.43, hence function passes through the point (0.43, 0).

The y-intercept of this function is given by coefficient c = -2, hence the function also passes through the point (0, -2).

The x-coordinate vertex is given as follows:

x = -b/2a = -4/3 = -1.33.

Hence the y-coordinate vertex is of:

y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.

Missing Information

The problem asks for the graph of the following function is given below:

y = 1.5x² + 4x - 2.

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The degree and terms of the polynomial are explained and an example is also discussed.

What are polynomials?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. It is a mathematical expression made up of exponents, constants, and variables that are mixed using addition, subtraction, multiplication, and division (No division operation by a variable).

The expression's components that are divided up by the operators "+" or "-" are referred to as polynomial terms. In polynomials, like terms are ones that share the same variable and power. Unlike terms are those that have dissimilar variables and/or dissimilar powers.

The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. A polynomial equation's maximum number of solutions can be calculated using the degree.

The different types of polynomials based on terms are:

The different types of polynomials based on the degree are:

Example,

Consider a polynomial 3x² + 5x + 4

Number of terms = 3 (Trinomial)

Degree = 2 (Quadratic polynomial)

Therefore the degree and terms of the polynomial are explained and an example is also discussed.

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The answer is:

Work/explanation:

Here's how we classify polynomials based on the number of terms:

monomial - has only one term

binomial - has two terms

trinomial - has three terms

polynomial - has four terms or more

As for degrees, those are the highest exponents the polynomial.

Example: Classify [tex]\bf{2p^2+p}[/tex].

It has 2 terms so it's a binomial.

Its highest exponent is 2 so it's a second degree binomial.

LHS ≠ RHS and the equation is not an identity.

9. Simplify each expression:
a. √(1 + cos 76° / 2)
b. (sin 158.2°) / (1 + cos 158.2°)
10. Verify that each equation is an identity.
a. sin 2x / 2 sin x = cos^2 x/2 – sin^2 x/2
b. tan θ/2 = csc θ – cot θ

Answer:
9. a. √(1 + cos 76° / 2) = √(1 + 0.2419 / 2) = √(1 + 0.12095) = √(1.12095) = 1.0589
b. (sin 158.2°) / (1 + cos 158.2°) = (0.12088) / (1 + (-0.9927)) = 0.12088 / 0.0073 = 16.566
10. a. sin 2x / 2 sin x = cos^2 x/2 – sin^2 x/2
LHS = sin 2x / 2 sin x = 2 sin x cos x / 2 sin x = cos x
RHS = cos^2 x/2 – sin^2 x/2 = (cos x + sin x)(cos x - sin x) / 4 = (1)(cos x - sin x) / 4 = cos x - sin x / 4
Therefore, LHS ≠ RHS and the equation is not an identity.
b. tan θ/2 = csc θ – cot θ
LHS = tan θ/2 = sin θ/2 / cos θ/2
RHS = csc θ – cot θ = 1 / sin θ - 1 / cos θ = (cos θ - sin θ) / (sin θ cos θ)
Therefore, LHS ≠ RHS and the equation is not an identity.

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The largest possible value x could take given that it must be an integer for x < 2 is 1.

The key distinction between an inequality and an equation is that an inequality describes a connection of inequality between two expressions, whereas an equation expresses equality between two expressions. In other words, an inequality shows that one expression is more or less than the other expression, but an equation shows that two expressions have the same value.

The highest number x might have is 1 if x must be an integer and x 2. This is due to the fact that any number higher than one would break the inequality x 2, and any number between one and two that is not an integer would also violate the stipulation that x must be an integer.

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Answer: 515,783

Step-by-step explanation:  f(x)= a(1+r)^x      450,000(1+0.023)^6

Answer is SAS, we can solve this question by SAS theorem of triangle, for that we have to know more about triangle.

A triangle in geometry is a three-sided polygon or object with three edges and three vertices.

If two triangles satisfy one of the following conditions, they are congruent:

a. Each of the three sets of corresponding sides is equal. (SSS)

b. The comparable angles between two pairs of corresponding sides are equal.(SAS)

c. The corresponding sides between two pairs of corresponding angles are equal. (ASA)

d. One pair of corresponding sides (not between the angles) and two pairs of corresponding angles are equal. (AAS)

e. In two right triangles, the Hypotenuses pair and another pair of comparable sides are equal. (HL)

So, △MNP≅△OPN and NO II MP and NO ≅ MP

then, ∠ ONP = ∠ MPN and Side NP is common.

Therefore we can solve it by SAS Theorem.

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Nicole has 8 nickels and 7 dimes.

A system of equations is simply two or more equations that share the same variables.

Let's use a system of equations to solve this problem:

Let x be the number of nickels, and y be the number of dimes.

From the problem, we know that:

x + y = 15 (equation 1) (the total number of coins is 15)

0.05x + 0.1y = 1.1 (equation 2) (the total value of the coins is $1.10)

To solve for x and y, we can use substitution or elimination. Let's use elimination:

Multiply equation 1 by 0.1:

0.1x + 0.1y = 1.5 (equation 3)

Subtract equation 3 from equation 2:

0.05x = 0.4

x = 8

Substitute x = 8 into equation 1:

8 + y = 15

y = 7

Therefore, Nicole has 8 nickels and 7 dimes.

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Milo is 8.09 miles from the dock.

Here we can use the Law of Cosines,

which states that c² = a² + b² - 2abcos(C),

Where c is the side opposite the angle C in a triangle.

Call the distance from the dock to the point where Milo changes direction "a", the distance Milo sails in the new direction "b", and the angle between these two sides "C".

We know that a = 7 miles and b = 4 miles.

To find C, we can use the fact that Milo changes direction by 5π/36 radians.

Since he turned to the right, we can say that he turned by,

⇒ 360 - 5π/36 = 355π/36 radians.

This is the angle between the two sides of the triangle.

Now we can plug these values into the Law of Cosines to find the distance from Milo to the dock:

⇒ c² = a² + b² - 2abcos(C)

⇒ c² = 7² + 4² - 2(7)(4)cos(355π/36)

⇒ c² = 49 + 16 - 56cos(355π/36)

⇒ c² = 65.47

Taking the square root of both sides, we get:

c = 8.09 miles (rounded to 2 decimal places)

Therefore, Milo is 8.09 miles from the dock.

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To find the function values, we need to substitute the given values of x into the function:

a) f(2) = 95(0.84)^2 ≈ 66.96

This means that after 2 hours, there are approximately 66.96 milligrams of medicine remaining in the person's bloodstream.

b) f(6) = 95(0.84)^6 ≈ 35.33

This means that after 6 hours, there are approximately 35.33 milligrams of medicine remaining in the person's bloodstream.

To determine an appropriate domain for the function, we need to consider the context of the problem. The function represents the amount of medicine remaining in a person's bloodstream after taking a dose of medication, so the domain should be the set of non-negative real numbers, since the amount of medicine cannot be negative and time cannot be negative. Therefore, an appropriate domain for the function is [0, ∞).

Interpretation: The function f(x) = 95(0.84)^x models the amount of medicine, in milligrams, remaining in a person's bloodstream after x hours of taking the medication. For example, after 2 hours, there are approximately 66.96 milligrams of medicine remaining in the person's bloodstream.

After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function

To find:

Interpret the given function values and determine an appropriate domain for the function.

Solution:

The general form of an exponential function is

Where, a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.

We have,

Here, 110 is the initial value and 0.83 is the decay factor.

It means, the amount of medicine in the person's bloodstream after taking the dose is 110 milligrams and the amount of medicine decreasing in the person's bloodstream with the decay factor 0.83 or decreasing at the rate of (1-0.83)=0.17=17%.

We know that an exponential function is defined for all real values of x but the time cannot be negative. So, x must be non negative.

We know that  for any value of x. So,  for all values of x.

Therefore, domain of the function is  and the range is .

Hope this helps!!!

GTPex-

The sum of the two polynomials is 12x^(5) - 5x^(3) - 5x^(2).

To find the sum of the two polynomials, we need to add the coefficients of the like terms. Like terms are terms that have the same variable and exponent.

Step 1: Identify the like terms in the two polynomials.
- The like terms are 8x^(5) and 4x^(5), -5x^(3) and 0 (since there is no x^(3) term in the second polynomial), x^(2) and -6x^(2).

Step 2: Add the coefficients of the like terms.
- 8x^(5) + 4x^(5) = 12x^(5)
- -5x^(3) + 0 = -5x^(3)
- x^(2) + -6x^(2) = -5x^(2)

Step 3: Combine the terms to get the sum of the two polynomials.
- 12x^(5) + -5x^(3) + -5x^(2)

Step 4: Simplify the expression if possible.
- There are no like terms that can be combined, so the expression is already simplified.

The sum of the two polynomials is 12x^(5) - 5x^(3) - 5x^(2).

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