Write an equation to represent the graph below

The time at which the object is 6 inches above the rest position will be 4.62 seconds.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.

d= - 8cos [(π/6) t]

If d = 6, then the value of the variable 't' is calculated as,

6 = - 8cos [(π/6) t]

- 3/4 = cos [(π/6) t]

cos [(77/100)π] = cos [(π/6) t]

Compare the angle, then we have

(π/6) t = (77/100)π

t / 6 = 77 / 100

t = 4.62 seconds

The time at which the item is 6 crawls over the rest position will be 4.62 seconds.

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Answer:

f1= -2+1/3

f2= 0

Step-by-step explanation:

3f^2+7f=0

a = 3; b = 7; c = 0;

Δ = b2-4ac

Δ = 72-4·3·0

Δ = 49

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

f1=−b−Δ√2af2=−b+Δ√2a

Δ−−√=49−−√=7

f1=−b−Δ√2a=−(7)−72∗3=−146=−2+1/3

f2=−b+Δ√2a=−(7)+72∗3=06=0

The order of operations can be used to find the value of the expression in the simplest form which can be presented as follows;

(-3/5)·x - 7 - (-12 + (3/10)·x) = (-9/10)·x + 5

The correct option is the option;

Negative nine tenths times x plus 5

The order of operations is the

The expression in the question can be presented as follows;

[tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right)[/tex]

Therefore; [tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right) = -\dfrac{3}{5} \times x - 7+12 - \dfrac{3}{10} \times x\right)[/tex]

[tex]-\dfrac{3}{5} \times x - 7+12 - \dfrac{3}{10} \times x\right) = -\dfrac{3}{5} \times x - \dfrac{3}{10} \times x +5 \right)[/tex]

[tex]-\dfrac{3}{5} \times x - \dfrac{3}{10} \times x +5 \right) = \left(-\dfrac{3}{5} - \dfrac{3}{10} \right)\times x +5 \right)[/tex]

[tex]\left(-\dfrac{3}{5} - \dfrac{3}{10} \right)\times x +5 \right) = \left(-\dfrac{(2\times 3+ 3)}{10} \right)\times x +5 \right)[/tex]

[tex]\left(-\dfrac{(2\times 3+ 3)}{10} \right)\times x +5 \right) = -\dfrac{9}{10} \cdot x + 5[/tex]

The expression is therefore; [tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right) = -\dfrac{9}{10} \cdot x + 5[/tex]

Which can be expressed as follows; (-9/10)·x + 5

The correct option is therefore; Negative nine tenths x plus 5

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Answer: A (-9/10 x+(5)

Step-by-step explanation:

I got it correct! Brainliest?

The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.

Humans are drawn to foods that are fatty, sweet, rich and complex. Pizza has all of these components.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

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The statement that describes why this sequence is a function is given as follows:

A.The graph of the sequence would pass the vertical line test.

A relation represents a function when each value of the input is mapped to a single value of the output.

In this problem, the input is the number of days, while the output is the number of cans. There are no repeated inputs, which means that this relation is a function.

On the graph, a relation being a function means that a vertical line will intercept the graph of the function only once, and thus option A is correct.

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Step-by-step explanation:

cost of business card - $.75 ( per card )

I want to print 50

So we will multiply 75 × 50

75

×50

00

355×

=375

$.375 will be the cost of the same

Answer:

6

Step-by-step explanation:

Corresponding sides of similar triangles have proportional side lengths.

[tex]\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6[/tex]

Answer:

h(- 10) = 69

Step-by-step explanation:

substitute x = - 10 into f(x) , that is

f(- 10) = - 6(- 10) + 9 = 60 + 9 = 69

[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.

Given liner equation :

[tex]\frac{1}{3} z + y = 2[/tex]

[tex]y = 2 - \frac{1}{3} z[/tex]

[tex]y= - \frac{1}{3} z +2[/tex]

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The option C is correct

What is the mathematical ratio?

Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls 

Given that:

Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks

Total textbooks = 125 + 191 = 316 books

A box can contain maximum = 28 books

so the ratio of books and box will be = 316/28 = 11 box and 8/28

So total box will be 11 completely filled and the last one will be filled by 8/28

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The theorem that proves <DAE=<BAC is Pythagoras theorem.

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Two more times company B charge per snack than company A

A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.

From the two tables,

0.5/0.25=2

1/0.5=2

1.5/0.75=2

2/1=2

Therefore, 2 more times company B charge per snack than company A

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The system of equations with the same solution set as the system of equations given is presented as follows:

The system of equations for this problem is presented as follows:

Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.

This holds true for the first option, as:

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Answer:

the lenth of the court is 78 feet

Rounding to the nearest whole number, the limits for a 'b' grade are 75 and 81

In this question we have been given a philosophy professor assigns letter grades on a test according to the given scheme.

We need to find the numerical limits for a b grade.

b: scores below the top 12 % and above the bottom 63 % which means scores between the  63th and 88th percentile.

Given that the scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1

μ = 72, σ = 8.1

z-score at the 63th percentile: 0.332

z-score at the 88th percentile: 1.175

The lower limit of a 'b' grade is:

0.332 = X - μ/σ

0.332 = (X - 72)/8.1

2.67 = X - 72

X = 74.67

X ≈ 75

The upper limit of a 'b' grade is:

1.175 = X - μ/σ

1.175 = (X - 72)/8.1

9.52 = X - 72

X = 81.52

X ≈ 81

Therefore, you get a 'b' if you have a grade between 75 and 81

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In 5th year, Anisa and Keith have the same amount of stock value. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given

1. For Anisa

For our problem, we know that she will make $25 annually, thus if x denotes the number of years in which she will make this gain 25x. She made a $100 initial deposit, which is also known as y. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:

y = 25x + 100

2. For Kevin

He is currently losing $35 annually. Let the x years be represented. He will lose -35 times year because we know that losses are represented by a minus sign. We now know that her initial investment y in our situation was $400. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:

y = -35x + 400

On year 5th

For Anisa

y = 25(5) + 100

y = 125 + 100

y = 225

For Kevin

y = -35x + 400

y = -35(5) + 400

y = -175 + 400

y = 225

In 5th year, Anisa and Keith have the same amount of stock value.

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The linear equation that is parallel to 8x - 10y = -2 and contains (1, -2) is:

4x - 5y = 14

So the last option is the correct one.

Remember that two linear equations are parallel only if both lines have the same slope (or coefficients if it is written in standard form) and different y-intercept.

Here our line is:

8x - 10y = -2

If we divide all the equation by 2, we will get:

(8x - 10y)/2 = -2/2

4x - 5y = -1

So any equation of the form:

4x - 5y = c, where c ≠ -1

Is parallel to 8x - 10y = -2

Now we want our line to pass through (1, -2), replacing these values in our line we get:

4x - 5y = c

4*1 -  5*-2 = c

4 + 10 = c

14 = c

Then the linear equation is:

4x - 5y = 14

So the correct option is the last one.

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The mean of the given data is 22.6

In the given question, the following data reflects the overall enrollment in 10 universities of the open skies state in 2019:

23, 14, 27, 35, 7, 16, 25, 23, 35, 21.

We have to compute the mean.

As we know that;

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.

To find the mean we firstly add the given data then we divide the sum of data by the total number of data.

Mean = Sum of all data/ Total number

Mean = 23 + 14 + 27 + 35 + 7 + 16 + 25 + 23 + 35 + 21/10

Mean = 226/10

Mean = 22.6

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The equivalent expression will be;

⇒ 34p + 6q

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 7p + 3 (2q + 9p)

Now,

Since, The expression is,

⇒ 7p + 3 (2q + 9p)

Hence, Solve for equivalent expression as;

⇒ 7p + 3 (2q + 9p)

⇒ 7p + 6q + 27p

⇒ 34p + 6q

Thus, The equivalent expression is find as,

⇒ 34p + 6q

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If we add any constant term in the variable then the standard deviation remains same. So it is not change.

In the given question, d is the standard deviation of x, y, and z.

We have to find the standard deviation of x+5, y+5, and z+5.

As we know that;

Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.

While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.

If we see that in each variable x, y, z a constant value 5 is added.

If we add any constant term in the variable then the standard deviation remains same. So it is not change.

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The right question is:

If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?

Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16

The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

The 5 digit summary definition

minimal is a smaller number.

lower quartile: First-half median of the data.

median

upper quartile :Median of the second half of data

greatest number is maximum

The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28

minimum = smallest number = 1

lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3

median = median( middle value) = 5

upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16

maximum = largest number = 28

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Answer:

290

Step-by-step explanation:

210 x 2 = 420

420 - 130 = 290

The ordered pair is located at the x-y coordinate at (- 10, 0).

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A point is located on the x-axis which is y = 0, and 10 units to the left of the y-axis which is x = - 10.

So, The location of the ordered pair (x, y) is (- 10, 0).

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

Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.

Here,

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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As x approaches positive infinity, the function r(x) approaches negative infinity.

What is a function approaches infinity?

In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.

As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.

In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.

Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.

For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.

Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.

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ASA triangle congruence theorems would be used in this proof.

What is ASA rule ?

According to the ASA rule, two triangles are said to be congruent if any two of the angles and sides that make up one triangle are equal to the corresponding two angles and sides that make up the other triangle.

When two or more triangles are congruent, their corresponding angles and sides are also congruent, according to the formula CPCTC, which stands for "corresponding parts of congruent triangles are congruent".

So, AB=CD

Thus, ASA  triangle congruence theorems would be used in this proof.

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Answer:

2

Step-by-step explanation:

if you do change in y/change in x it would be 8/4 with simplifies down to 2

The GFC of 4800xy³, 1600y is 1600y.

The greatest positive integer that evenly divides into all of the numbers with zero residual is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.

To find the GFC of a given number we will write them as a product of their prime factors.

Here we have

4800xy³ , 1600y

Write the given number as a product of prime numbers

4800xy³ = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × x × y × y × y

1600y =  2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y  

Now list out the highest common factors

[ Here we will list out the factors which are common in both lists]  

=> 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y  

=> 1600y

Therefore,

The GFC of 4800xy^3 , 1600y is 1600y

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