Let x represent "a number".

The sum of 5 and 3 times a number
​

Answer:

y=60x; 60 X 12= 720

Step-by-step explanation:

Answer:

60 x 12= 720

Car A will travel 720 miles

Step-by-step explanation:

PLZ mark me brainliest

The probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648

Number of Aces in deck = 4

The probability that they pick no ace in one trail

= (52 - 4) / 52

= 48 / 52

= 12 / 13

The probability that the picks no ace in 25 trials are

= (12/35)²⁵

The probability of drawing at least one ace when we draw from a standard deck 25 times

= 1 -  (12/35)²⁵ = 0.8648

Indeed, it is conceivable you could wind up drawing a king rather than a queen from those 52 cards as you might attract a queen on the first go.

Hence the probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648.

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Answer:

17

Hope this helps

Answer:

Circle a must be translated (x+15, y+0) and then dilated by 4/6 in order to get circle b.

The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The chances of availability:

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Answer:

I believe the correct answer is Point L

Answer:

Point O

Step-by-step explanation:

we have

f(c)=18+10c

f(8)

f(8) is the value of the function f(c) when thwe value of c=8

so

substitute c=8 in the function above

f(8)=18+10(8)

f(8)=98

Answer:

they're not

Step-by-step explanation:

when you distribute the 2 into (x-3) you get 2x-6

and thats not equivalent to 2x-3  

Answer:

  output = -3n +1

Step-by-step explanation:

Given an input/output table for a linear function, you want an expression for the output when the input is n.

The input values count up from 1, so we can consider the output values to be the terms of an arithmetic sequence.

The first term of the sequence is a1 = -2 (when n=1).

The common difference of the sequence is d = (-5 -(-2)) = -3.

The general (n-th) term of an arithmetic sequence is given by the formula ...

   an = a1 +d(n -1)

For the known values of a1 and d, we find the n-th term to be ...

  an = -2 +(-3)(n -1)

  an = -2 -3n +3 . . . . . . . eliminate parentheses

  an = -3n +1 . . . . . . . . collect terms

The term corresponding to an input value of n is ...

  -3n +1

In linear equation, The carbohydrate intake ranges between 129-286g

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

A diet with adequate proteins and carbohydrates can be given to an athlete (2-3 hours) before a sport.

Generally, 2-3g/kg body weight of Carbohydrates can be included in the diet (depending on the weight and height.

Here, the person weighs 86kgs (assuming the majority of the bodyweight is muscle mass)

Therefore, average carbohydrate intake can be – 85* 2 = 170g; or, 85*3 = 255g

Thus, the carbohydrate intake ranges between 129-286g

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The second solution is: y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx) where C is a constant of integration.

To find a second solution y2(x) for the given differential equation x²y'' - xy' + 26y = 0 with the function y1(x) = x sin(5 ln x), we'll use the reduction of order formula:y2(x) = y1(x) * e^(-∫P(x)dx) * ∫(e^(∫P(x)dx) / y1(x)^2 dx)
First, rewrite the given differential equation in the standard form:
y'' - (1/x)y' + (26/x²)y = 0
From this, we can identify P(x) = -1/x.
Now, calculate the integral of P(x):
∫(-1/x) dx = - ln|x|
Now, apply the reduction of order formula:
y2(x) = x sin(5 ln x) * e^(ln|x|) * ∫(e^(-ln|x|) / (x sin(5 ln x))² dx)
Simplify the equation:
y2(x) = x sin(5 ln x) * x * ∫(1 / x² (x sin(5 ln x))² dx)
y2(x) = x² sin(5 ln x) * ∫(1 / (x² sin²(5 ln x)) dx)
Now, you can solve the remaining integral to find the second solution y2(x) for the given differential equation.

To find the second solution y2(x), we will use the reduction of order method. Let's assume that y2(x) = v(x) y1(x), where v(x) is an unknown function. Then, we can find y2'(x) and y2''(x) as follows:
y2'(x) = v(x) y1'(x) + v'(x) y1(x)
y2''(x) = v(x) y1''(x) + 2v'(x) y1'(x) + v''(x) y1(x)
Substituting y1(x) and its derivatives into the differential equation and using the above expressions for y2(x) and its derivatives, we get:
x^2 (v(x) y1''(x) + 2v'(x) y1'(x) + v''(x) y1(x)) - x(v(x) y1'(x) + v'(x) y1(x)) + 26v(x) y1(x) = 0
Dividing both sides by x^2 y1(x), we obtain:
v(x) y1''(x) + 2v'(x) y1'(x) + (v''(x) + (26/x^2) v(x)) y1(x) - (1/x) v'(x) y1(x) = 0
Since y1(x) is a solution of the differential equation, we have:
x^2 y1''(x) - x y1'(x) + 26y1(x) = 0
Substituting y1(x) and its derivatives into the above equation, we get:
x^2 (5v'(x) cos(5lnx) + (25/x) v(x) sin(5lnx)) - x(v(x) cos(5lnx) + v'(x) x sin(5lnx)) + 26v(x) x sin(5lnx) = 0
Dividing both sides by x sin(5lnx), we obtain:
5x v'(x) + (25/x) v(x) - v'(x) - 5v(x)/x + v'(x) + 26v(x)/x = 0
Simplifying the above expression, we get:
v''(x) + (1/x) v'(x) + (1/x² - 31/x) v(x) = 0

This is a second-order linear homogeneous differential equation with variable coefficients. We can use formula (5) in Section 4.2 to find the second linearly independent solution:
y2(x) = y1(x) ∫ e^(-∫P(x) dx) / y1^2(x) dx
where P(x) = 1/x - 31/x^2. Substituting y1(x) and P(x) into the above formula, we get:
y2(x) = x sin(5lnx) ∫ e^(-∫(1/x - 31/x²) dx) / (x sin(5lnx))² dx
Simplifying the exponent and the denominator, we get:
y2(x) = x sin(5lnx) ∫ e^(31lnx - ln(x)) / x^2sin²(5lnx) dx
y2(x) = x sin(5lnx) ∫ x^30 / sin²(5lnx) dx
Let u = 5lnx, then du/dx = 5/x, and dx = e^(-u)/5 du. Substituting u and dx into the integral, we get:
y2(x) = x sin(5lnx) ∫ e^(30u) / sin²(u) e^(-u) du/5
y2(x) = x sin(5lnx) ∫ e^(29u) / sin²(u) du/5
Using integration by parts, we can find that:
∫ e^(29u) / sin^2(u) du = -e^(29u) / sin(u) - 29 ∫ e^(29u) / sin(u) du + C
where C is a constant of integration. Substituting this result into the expression for y2(x), we get:
y2(x) = -x sin(5lnx) e^(29lnx - 5lnx) / sin(5lnx) - 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
Simplifying the first term and using the substitution u = 5lnx, we get:
y2(x) = -x⁶ e^(24lnx) + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
y2(x) = -x⁶ / x^24 + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
Therefore, the second solution is: y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx) where C is a constant of integration.

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The relation that shows y as a function of x is an equation.

An equation is a mathematical statement that two or more algebraic expressions share equality or equivalence.

Equations are depicted using the equation symbol (=), unlike mathematical expressions, which combine variables, numbers, constants, and values with mathematical operands but without the symbol of equality.

Thus, the relation, y is the dependent variable while x is the independent variable.

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Answer:

Step-by-step explanation:

Let x be the random variable representing the data points in the data. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 12

σ = 2

the probability that the data points lies between 8 and 16 is expressed as

P(8 ≤ x ≤ 16)

For x = 8,

z = (8 - 12)/2 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 16

z = (16 - 12)/2 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(8 ≤ x ≤ 16) = 0.98 - 0.23 = 0.75

The percent of the data points that lies between 8 and 16 is

0.75 × 100 = 75%

Answer:

We suppose that a is the old price in cents

the total cost of 9.20 $ equals 920 cents

so we have 20 liters bought with the old price (a) and 10 liters with the new price (a + 2). This is translated into this equation where a is the old price therefore our quest to be answered

20 xa + 10 x (a + 2) = 920 (cents)

20 xa + 10 xa + 20 = 920

30 xa + 20 = 920

30 xa = 920 - 20

30 xa = 900

a = 900: 30

a = 30 (cents)

therefore the old price for 1 liter of petrol is 30 cents

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

412.3 feet

Step-by-step explanation:

To find the distance from the rental shop to the river, we need to use the formula of the distance between a point and a line:

distance(ax + by + c = 0, (x0, y0)) = |ax0 + by0 + c| / sqrt(a2 + b2)

putting the equation y = (1/4)x + 8 in the form ax + by + c = 0, we have a = 1/4, b = -1 and c = 8, and the point represents x0 = -3 and y0 = 3, so we have:

distance = |(1/4) * (-3) - 1*3 + 8| / sqrt( (1/4)^2 + (-1)^2)

distance = |-3/4 + 5| / 1.0308

distance = 4.25 / 1.0308 = 4.123 units

If each unit in the coordinate plane corresponds to 100 feet, the real distance is:

real distance = distance * 100 = 412.3 feet

The distance between rental shop and river is 412.3 feet.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Given that,

The equation of line,

y = 1/4x + 8.

And the point is (-3,3),

Change the given equation in the form ax + by + c = 0,

x - 4y + 32 = 0

To find the distance,

Use formula of distance between a line and point,

Distance = \(|ax_0+by_0+c|/\sqrt{a^2+b^2}\)

\(= |1(-3) + 3 \times(-4)+ 32|/\sqrt{(-4)^2+1^2\\\\\\\\ \\\\ =(-3-12+32)/\sqrt{17}\\= 17/ \sqrt{17}\)

= 4.123 unit

Since, 1 unit is equal to 100 feet.

Therefore,

4.123 = 412.3 feet.

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Based on the information given about the Angley marathon, Joe can summarize the message as "Run the Angley marathon for free if A ≥ £850"

Raise at least £850 and run the Angley marathon for free

let

Joe can summarize the message like this:

Run the Angley marathon for free if A ≥ £850

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Answer:

None of them, 3x + 15 is correct.

Step-by-step explanation:

In order to apply the distributive properly correctively, we need to multiply everything in the parentheses. For an example, lets look at the given expression:

\(3(x+5)\)

We multiply everything in the parentheses by 3

\(3x+15\)

Looking at out choices, none of them uses the distributive property correctly.

The probability that Venus picks three new (unused) balls from the box is 0.1296.Given that a box contains 18 tennis balls of which 8 are new (unused).

We have to find the probability that these three are all new (unused).We know that the balls Serena played with were then returned to the box, so there are 8 new balls left and a total of 19 tennis balls in the box.

Therefore, the probability of picking a new (unused) ball is `8/19`.

Thus, the probability that Venus picks three new (unused) balls from the box is `P(Three new balls) = P(New ball) × P(New ball) × P(New ball) = (4/9) × (8/19) × (8/19) = 0.1296`.Hence, the probability that Venus picks three new (unused) balls from the box is 0.1296.

Summary:A box contains 18 tennis balls of which 8 are new (unused). The probability that Venus picks three new (unused) balls from the box is `P(Three new balls) = P(New ball) × P(New ball) × P(New ball) = (4/9) × (8/19) × (8/19) = 0.1296`.

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Step-by-step explanation:

4 positions with 4 possibilities each :

4×4×4×4 = 4⁴ = 256 different possible passwords.

Answer:

x = 1/2QN^2

Step-by-step explanation:

Answer: 5

Step-by-step explanation: Assuming you put a for X that would be 2 so 2x is 4 + 1= 5

The value of p when a = 16, b = 9 and c = 13 is 38

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

p = a + b + c

Substituting the values of a, b and c:

p = 16 + 9 + 13

p = 38

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The diagram of the rectangle is attached where the length and the width are is 8cm and 4 cm

From the question, we have the following parameters that can be used in our computation:

The above parameters imply that

L = 2W

P = 2(L + W)

Where L represents the Length and W represents the width

The perimeter is given as 24

So, we have

2(L + W) = 24

So, we have

L + W = 12

Substitute L = 2W in L + W = 12

2W + W = 12

Evaluate

3W = 12

Divide by 3

W = 4

Substitute W = 4 in L = 2W

L = 2 * 4

Evaluate

L = 8

This means that the length of the rectangle is 8 cm and the width of the rectangle is 4 cm

See attachment for the rectangle

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The probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels is approximately 0.00026 (or 0.026%).

There are 5 vowels in the English alphabet (a, e, i, o, u). To create a 5-letter password using only vowels, we have 5 choices for each letter in the password. Therefore, the total number of possible 5-letter passwords made up of only vowels is 5^5 = 3125.

To find the total number of possible 5-letter passwords, we need to consider all 26 letters of the English alphabet. Since there are 26 choices for each letter in the password, the total number of possible 5-letter passwords is 26^5 = 11,881,376.

The probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels is the number of possible 5-letter passwords made up of only vowels divided by the total number of possible 5-letter passwords:

P(password consists of only vowels) = 3125 / 11,881,376

Therefore, the probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels is approximately 0.00026 (or 0.026%).

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Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Explanation:

For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.

The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.

The expression is: (2 n⁴)(3 a²) / 6a³ = n⁴ / a. This simplified expression has 2 terms and is of 6 words. The GCF of the given expression is 2a³.

The given expression is (2 n⁴)(3 a²) / 6a³. Now, to simplify the given expression, we can do the following steps:

Step 1: Find the GCF of the numbers and variables in the numerator and the denominator.

Step 2: Divide the numerator and the denominator by the GCF.

Step 1: Find the GCF of the numbers and variables in the numerator and the denominator.

The GCF of 2, 3, and 6 is 2. The GCF of n⁴ and a³ is a³.

Step 2: Divide the numerator and the denominator by the GCF.

Using the GCF, we can write the given expression as:

(2 n⁴)(3 a²) / 6a³= 2a³(n⁴ × 3 a²) / 2a³ × 3

This gives us:

n⁴ × 3 a² / 3 a³= n⁴ / a

Here, we can cancel out the common factor 3 in the numerator and the denominator, and then we can cancel out the common factor of a² from the numerator and denominator.

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The required quotient of the given expression -2 1/2 / [3/4] is given as -2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= -2 1 / 2 [3/4]
= -3/2 × 4 / 3
= -2

Thus, the required quotient of the given expression -2 1/2 / [3/4] is given as -2.

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