For problems 1 - 6, determine whether the relationships represented are A. Exponential., B. Linear., or C. Neither.

Answer: Triangle ABC is a right triangle, because it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

c^2 = a^2 + b^2

25^2 = 17^2 + 21^2

625 = 289 + 441

625 = 730

Since it is a right triangle, angle A is the angle opposite side a, which is the side that is the length of 17.

A right triangle also has one angle which is always 90 degree, that is the angle opposite the hypotenuse, so the remaining angle is A, which is 90- angle C, which is

90 - 42.3 = 47.7 degree.

Therefore the measure of angle A is 47.7°

So the correct answer is C. 42.3°

Step-by-step explanation:

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]2(x-2)^2=8(7+y)\hspace{5em}\stackrel{\textit{quick switcheroo}}{2(y-2)^2=8(7+x)} \\\\\\ (y-2)^2=\cfrac{8(7+x)}{2}\implies (y-2)^2=4(7+x)\implies (y-2)^2=28+4x \\\\\\ y-2=\pm\sqrt{28+4x}\implies \boxed{y=2\pm\sqrt{28+4x}}\qquad \impliedby f^{-1}(x)[/tex]

Answer:

zero is the simplified answer

Step-by-step explanation:

it's just as adding -5 to 5 which are additive inverse to each other so they cancel each other out ,, so -5 + 5 = 0

same for -5x +5X =0

The Earth orbits the Sun and rotates around its own axis. The Moon orbits the Earth and is held in place by the Earth’s gravity. This is why the length of a day is gradually increasing over time.

The Moon’s gravitational pull causes the tides, which is why the ocean’s water level rises and falls. The gravitational pull of the Moon also affects the Earth’s rotation by slowing it down slightly. This is why the length of a day is gradually increasing over time.

The Earth orbits the Sun and rotates around its own axis, while the Moon orbits the Earth and is held in place by the Earth’s gravity. The Moon’s gravitational pull causes the tides and affects the Earth’s rotation by slowing it down slightly, resulting in a gradual increase in the length of a day.

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The standard form of linear function y = - (1 / 2) · x + 6 is (1 / 12) · x + (1 / 6) · y = 1.

In this question we find a linear function in slope-intercept form:

y = m · x + b

Where:

From which we must obtain the linear function in standard form:

a · x + b · y = c

Where:

We can derive the standard form of the linear equation by algebra properties:

y = m · x + b

(1 / b) · y = (m / b) · x + 1

- (m / b) · x + (1 / b) · y = 1

If we know that m = - 1 / 2 and b = 6, then the equation of the line in standard form is:

- [(- 1 / 2) / 6] · x + (1 / 6) · y = 1

(1 / 12) · x + (1 / 6) · y = 1

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Answer:

Step-by-step explanation:

A unit rate means a rate for one of something. You should write it as a ratio with a denominator of one.

For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate

IT's  0.80 per serving i think

Answer:

Step-by-step explanation:

a.3x-2

b.3x+2

c.3x-2

d.3x-2

so. the answer are a, c, d equivalent to 3x-2

The solution to the system of equations is x = 3 and y = 4.

this question is related to system of equations ,

the equations are,

x + y = 7         .......[1]

x + 2y = 11  

x= 11 - 2y

now, place the value of x in equation 1,

(11 - 2y) + y = 7

11 - 2y +y = 7

11 - y = 7

- y = 7 - 11

- y = - 4

y = 4

now to find the value of x, place the value of y in equation 1

x + 4 = 7

x = 7 - 4

x = 3.

so, the value of x and y is 3 and 4.

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Consequently, it would take polynomials roughly 690,64 years for the disintegrations to disappear.

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

The formula for this is Activity = decay constant x atoms.

1238 = 2.64 x 1010 times the decay constant

decay constant is equal to 4.76 x 10-8 min-1.

Currently, the disintegrations are being slowed to 809 disintegrations per minute.

Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)

t=3.63x108min = 690.64y

Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

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The total number of pizzas consumed by the 10 members of the club is 2.5 and 3.5 pizzas remain, as Mr. Cam bought 6 pizzas and each of the 10 members ate 1/4 of a pizza.

Mr. Cam bought 6 pizzas for the club and each of the 10 members ate 1/4 of the pizza. To find out how many pizzas were eaten, we can use the formula:

Number of members x Pizza per member = Total Pizzas Consumed

In this case, we can substitute the given values in the formula:

10 members x 1/4 pizza/member = 10/4 = 2.5 pizzas

This means 2.5 pizzas were consumed by the members. Since Mr. Cam bought 6 pizzas and 2.5 pizzas were eaten, the total number of pizzas remaining is 6 - 2.5 = 3.5 pizzas.

This equation works because it uses the concept of the unitary method, where we find the total number of pizzas consumed by multiplying the number of members by the number of pizzas each member ate. This way we can find the total amount of pizza consumed.

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The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.

What does mean of two decimal points?

To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).

Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.

To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..

19.00 gram milk chocolate bar contains 11. 50 g of sugar.

Apply unitary method:

1 gram milk chocolate bar contains 11. 50/19 g of sugar.

100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.

                                                                = 60.526

The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.

60.526  ≈ 60.53

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The fans at the semi final is less than the fans at the final .

The implementation of the away goals rule makes any goals scored away from home effectively count twice when the scores are tied, as is customary in matches with home and away legs, such as the knockout stage of the Champions League.

Champions League and Europa League, two of its premier club championships, starting in the 2021–22 season.

Semi final : 250*4/6+4 = 100

Final : 400*3/7+3= 120

Hence, The fans at the semi final is less than the fans at the final .

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The age of your uncle is modeled by:

y = 2 + 3*x

Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.

Let's define the variables: y as your uncle's age and x as your age.

Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:

y = 2 + 3*x

This is the equation we needed to find.

b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:

y = 2 + 3*12

y = 2 + 36

y = 38

That's the age of your uncle.

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Answer:

[tex]\dfrac{15}{6}[/tex]

Step-by-step explanation:

3 can be represented as [tex]\dfrac{3}{1}[/tex] because any number divided by 1 is itself.

Therefore,

[tex]\dfrac{5}{6} \times 3[/tex]

can be written as:

[tex]\dfrac{5}{6} \times \dfrac{3}{1}[/tex]

To multiply these fractions, simply multiply their numerators and their denominators.

[tex]\dfrac{5 \times 3}{6 \times 1}[/tex]

[tex]\dfrac{15}{6}[/tex]

After evaluating the value of 8 + w/4 = 12.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.When performing calculations but unsure of the precise amount, algebra is used.

Equations come in two varieties which are  identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

as the details given,

the equation given is 8 + w/4

the value of w is 16

by placing the value of w in the given equation we get

=> 8 + 16/4

=> 8 + 4

=> 12

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Answer:

R = 144400000/59 [this is a fraction]

Answer: A

Step-by-step explanation:

Based on the graph, we know that it is decreasing if it is going down from left to right.

A: correct

Looking at choice A, it says the interval is from -4<x<-3. This means we have to find x=-4 and x=-3. On the graph, that interval is going down from left to right, so it is decreasing.

B: incorrect

Looking at choice B, it says the interval is from -2<x<0. This means we have to find x=-2 and x=0. On the graph, that interval is going up from left to right, so it is increasing.

C: incorrect

Looking at choice C, it says the interval is from 0<x<2. This means we have to find x=0 and x=2. On the graph, that interval is going up from left to right, so it is increasing.

D: incorrect

Since we have identified A as decreasing, then none of the above can't be the answer.

Therefore, A is the correct answer.

The difference between the two polynomials (9x²+8x) - (2x²+3x) is:

7x² + 5x.

Polynomial:

A polynomial is a type of algebraic expression where the exponents of all variables must be integers. The exponent of each polynomial variable must be a non-negative integer. A polynomial consists of a constant and a variable, but you cannot divide a polynomial by a variable.

Example: Express the polynomial 5 + 2x + x2 in standard form.

To express the above polynomial in standard form, first check the degree of the polynomial.

The degree of the given polynomial is two. Write an expression involving the degree of the polynomial.

There is a term with variable exponent less than 2, i.e.1, then write it down.

Finally, we write a term with the variable exponent 0 as the constant term.

According to the Question:

Given polynomials is:

(9x²+8x) - (2x²+3x)

First, multiply the negative sign in the second polynomial

i.e., (9x²+8x) - (2x²+3x)

= 9x²+8x - 2x²-3x

Now, evaluate those terms who have same variables

=  9x²  - 2x² +8x-3x

= 7x² + 5x

Hence, the difference between polynomials are: 7x² + 5x.

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Answer: #18 is (1/2,0)

#19 (0,-1)

#20 5

#21 8√2 or 11.313708498985

Step-by-step explanation:

Answer: 13.6 grams per egg.

Step-by-step explanation:

Parallel programming can improve the performance of an application over sequential programming in certain cases, but it is not a guarantee.

Parallel programming allows for the use of multiple processors or cores to perform tasks simultaneously, which can improve the overall speed of an application. However, parallel programming can also introduce complexity and overhead, which can decrease performance. The potential for improved performance depends on the specific application and the design of the parallel implementation. Some applications may not benefit from parallel programming because they are not computationally intensive or because their data is not easily divided into parallelizable tasks. Additionally, the performance improvement also depends on the number of cores and the communication costs between them.

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Answer:

1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4

Step-by-step explanation:

We can conclude from answering the above question that the first two patterns of the matrix  form a sequence in the third from top with the numbers 4-2-6.

A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.

We can conclude from answering the above question that the first two patterns of the matrix  form a sequence in the third from top with the numbers 4-2-6.

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Projective tests are created so that the test taker cannot tell what they are testing for.

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The minimum value of the given quadratic equation is 31/8. Solved using graph method to find a minimum value that is c - b^2/4a.

By graphing the equation and locating the minimum point on the graph, you may visually determine the minimum value. The graph's vertex will have the lowest y-value. When you have a graphing calculator that can perform the majority of the work for you, this is very simple.

A graph makes it simple to determine the minimum value of a quadratic equation. One can use the graph to identify the minimum point of the quadratic equation and to find the minimum value in a visual way. If the quadratic equation is written as [tex]y= ax^2 + b*x + c[/tex]one can follow the equation that says the minimum value is min = c- (b^2/4a) to obtain the minimum value of the quadratic equation.

Given Quadratic equation is y = 2x^2 + 3x + 5

a = 2 , b =3 ,c = 5.

Minimum value  = c - (b^2/4a)

= 5 - 9/8

=31/8.

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The range and the IQR of the weights are 3.3 pounds and 0.95 pounds respectivly.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, there are different processes to take when calculating the median.

The term "standard deviation" (or "[tex]\sigma[/tex]") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

a) the range is the difference between the highest and lowest value:

range =7.5-4.15 =3.3 pounds

the IQR is the difference between the third and first quartile

IQR= Q₃ -Q₁ =6.55 - 5.6 = 0.95 Pounds

b) Skewed because the mean and median are not the same value.

c) All values will be multiplied by 16

Mean: 96 ounce

Standard deviation: 10.4 ounce

Quartiles: 89.6 ounce and 104.8 ounce

Median:99.2 ounce

IQR: 15.2 ounce

Range: 52.8 ounce

d) The mean,quartiles and median increase by 30,the result remain unchanged:

Mean: 126 ounce

Standard deviation: 10.4 ounce

Quartiles: 119.6 ounce and 134.8 ounce

Median:129.2 ounce

IQR: 15.2 ounce

Range: 52.8 ounce

e)  The median, quartiles and IQR might not changed,because they are unaffected by an outlier.

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Answer:

4

Step-by-step explanation:

Half means 1/2

Half of 8

= 1/2 x 8

= 8/2

= 4

Hence, half of 8 is 4.

Answer: 4

Step-by-step explanation:4 + 4 is 8 half of 4 is eight.

The domain of the function y = √ x is x ≥ 0.

The domain of a function is the set of all input values for which the function is defined. The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number. Therefore, the domain of √ x is the set of all real numbers greater than or equal to zero.

This means that any input value less than zero would result in an undefined output for the square root function. In this case, since the square root is the only function, the domain of the function y = √ x is x ≥ 0. This means that the function can only take non-negative real numbers as input and will output a non-negative number.

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An example of x-intercept is (3,0).

Here x=3 is the x-intercept in this line.

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

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