Chenoa wants to stop for coffee on her way to school. The distance from Chenoaʼs house to the coffee shop is 3 miles more than twice the distance from the coffee shop to Chenoaʼs school. The total distance from Chenoaʼs house to her school is 5 times the distance from the coffee shop to her school

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Ths sine function is defined as:

For angle C, the opposite leg is 24 and the hypotenuse is 25, therefore:

Hence the answer is A.

Answer:

22,828

Step-by-step explanation:

Answer:

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To write a linear function representing Xavier's gross income in terms of the number of hours he works, we need the slope and the y-intercept.

Let's assume that Xavier earns a constant hourly rate of $3 per hour.

The slope of the linear function represents the rate at which Xavier's income increases per hour worked. In this case, the slope is $3, as his earnings increase by $3 for every hour worked.

The y-intercept represents Xavier's income when he hasn't worked any hours. Since he earns $0 when he hasn't worked any hours, the y-intercept is 0.

Therefore, the linear function representing Xavier's gross income (G) in terms of the number of hours (x) he works can be written as:

G = 3x

This equation shows that Xavier's gross income is equal to $3 multiplied by the number of hours he works.

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

False

Step-by-step explanation:

The principal square root of most numbers is an irrational number with an infinite decimal expansion.

Not every square root is irrational but the statement says EVERY so false.

Hope I helped!

Please label mine as brainliest!

Answer:

False

There can be irrational numbers too. Complex, even. Also, Imaginary.

ANSWER :

1.5x

EXPLANATION :

Claire's height is x feet.

Robert is taller than Claire by half of her height.

That will be Claire's height + half of her height.

Answer:

A B C F

Step-by-step explanation:

The actual dimensions of the driveway is,

⇒ 57.5 ft. and 22.5 ft

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Scale factor = 1 : 5

And, The dimensions of the scale drawing are 11.5 in. by 4.5 in.

Hence, The actual dimensions of the driveway is,

⇒ 11.5 × 5 = 57.5 ft

⇒ 4.5 × 5 = 22.5 ft

Thus, The actual dimensions of the driveway is,

⇒ 57.5 ft, 22.5 ft

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation. An equation that can be used to represent the image is 6t=9.

A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation of ratios, addition, subtraction, and, most typically, multiplication.

In the given tap diagram, the upper tape contains 6 tapes of length t, while the lower tape contains only one tap of length g.

Now, since the length of the two tapes, the upper one and the lower one are equal. Therefore, the equation to represent the image can be written as,

t + t + t + t + t + t = 9

6t = 9

If the equation is simplified further, it can be written as,

t = 9/6

t = 3

Hence, an equation that can be used to represent the image is 6t=9.

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Answer:

2.460375e+15

Step-by-step explanation:

HOPE THIS HELPS

:)

Answer: 3.12

Step-by-step explanation:

Answer:

1.67 mph

Step-by-step explanation:

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The options that correctly show the points of the given graph are;

Option 4: A is on the y-axis

Option 5; D is on the x-axis

Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.

Now, from the given graph, we see the following;

A is on the y-axis

B is at the origin

C is at the point (1, 2)

D is on the x-axis

Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.

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Answer:

0+0=0

Step-by-step explanation:

Expression is another word for equation

The data set representing a function will be (1, -1), (2, -2), (3, 3), (4, -3), (5, 4), and (6, 5).

A function is an argument, concept, or principle that demonstrates a connection between two variables. Functions may be found throughout arithmetic and are necessary for the result of consequential linkages.

If the number of values of the variable 'y' is more than one for a given value of 'x', then it is not a function.

For a function, the number of values of 'y' should be one for each value of 'x'.

The value of abscissa is given as,

(1, -1), (2, -2), (3, 3), (4, -3), (5, 4), (6, 5)

The data set representing a function will be (1, -1), (2, -2), (3, 3), (4, -3), (5, 4), and (6, 5).

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Therefore, the probability of getting exactly 6 successes in 19 trials with a probability of success of 0.4 is approximately 0.1295, rounded to four decimal places.

Probability theory is a branch of mathematics that focuses on calculating the probability that a claim is accurate or a certain event will occur. Chance can be represented by any integer between 0 and 1, where 1 typically denotes certainty and 0 typically denotes possibility. A probability diagram shows the chance that a specific event will occur. .

Here,

The formula for the mass function of the probability function of both the binomial distribution can be used to calculate P(X=6) for a probability density with n = 19 trials and a chance of success of p = 0.4:

P(X = k) is equal to (n pick k) * pk * (1 - p) (n-k)

the binary coefficient, that may be computed as follows:

(n pick k) = n / (k! * (n-k)!)

where the factorial function is indicated by "!"

When we enter the specified numbers into in the formula, we obtain:

P(X=6) = (19 select 6) (19 choose 6) * (0.4)^6 * (1 - 0.4)^(19-6) (19-6)

We can calculate this expression with a machine or software to get:

P(X=6) ≈ 0.1295

So, rounded to four digits, the probability of obtaining 3 to 6 triumphs in 19 attempts with a success rate of 0.4 is roughly 0.1295.

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Answer:

= 3x² + 7 +2x³.

Step-by-step explanation:

Here is my solution to my answer.

The value of the function operation f - g(x) is 3x² + x

Function operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.

Addition and subtraction of functions:

A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.

Multiplication of functions:

Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.

Composition of functions:

Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.

In this problem, we have two functions which are;

The value of (f - g)(x) = 3x² + x

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Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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Answer:

B. 76cm³

Step-by-step explanation:

We can find the volume of both rectangles then add them together. The formula for the volume of a rectangle is [ v = b * h * l ].

Rectangle 1:

= 2 * 5 * 6

= 10 * 6

= 60cm³

Rectangle 2:

= 2 * 2 * 4

= 4 * 4

= 16cm³

Total Volume

60 + 16 = 76cm³

Best of Luck!

Answer:

69420

Step-by-step explanation: