The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.

The distance to Johns's grandmother's house is 90 miles.

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.

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Answer:

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.

Answer:

y  =  x  +  3 z

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is neither prime nor composite since 1 divides everything.

Answer: One is a factor of every whole number since every number is divisible by itself.

Step-by-step explanation:

Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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Answer:

x either equals to 4 of 9 so you can write it like x=4, 9

Step-by-step explanation:

Start by simplifying each sides of the equation.

x^2-13x+36=0

Then factor the left side of the equation.

(x-4)(x-9)=0

Set factors equal to 0

x-4=0 or x-9=0

x=4 or x=9

Answer:

4, 9

Step-by-step explanation:

(x-4)(x-9)=0

x-4=0, x-9=0

x=0+4=4

x=0+9=9

Given :

A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

To Find :

1. How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

2. How much flour and vanilla would you need for 5 batches of cookies?

Solution :

Let, 1 cup of flour contains x gm of flour.

Let, 2 teaspoons of vanilla contains y gm of vanilla.

So, 1 batch requires :

1 batch = 5x + 2y

It is given that 15 cups of flour and 6 teaspoons of vanilla are their so batches are :

x = 15x + 6y = 3( 5x + 2y ) = 3 batches.

Now,

For 5 batches of cookies 5×5 = 25 cups of flour and 5×2 = 10 teaspoons of vanilla.

Hence, this is the required solution.

Answer:

I hope you understand

48 = 2⁴×3

60 = 3 × 2²× 5

300= 2² × 5² × 3

Using Cosine law,

the angle between two shortest sides of triangle is 85.1°..

We have provided that,

A garden has triangular shape.

let "AB" , "BC" , "CA" be sides of triangular shape garden and

we have the sides of triangle are 475 feet , 595 feet and 401 feet i.e AB = 475 , AC = 595 ,

BC= 401

we have to measure of angle between two shortest sides i.e angle between side AB and BC

let x degree be an angle between two shortest sides of triangle .

Using cosine rule ,

(AC)² = (BC)² + (AB )² - 2 AB×BC Cosx

=> (595)² = (401)² + ( 475)² - 2× 475 ×401 Cosx

=> 2(475×401) Cosx = (401)² + (475)² - (595 )²

=> 2 ( 475×401) Cosx = 32401

=> Cosx = 0.085

=> x = cos⁻¹(0.085) = 85.1°

Hence, the angle between two shortest sides of triangle is 85.1°

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Answer:

72°

Step-by-step explanation:

A line is 180° and the total angle degrees are 180°

180 - 140 = 40

68 + 40 = 108

180 - 108 = 72

An urn contains 4 blue and 3 yellow chips, two are removed in succession without replacement. The probability both chips are blue is 15/14

Since the balls are to be removed in succession,

For removing first ball:

Total probability to remove the ball from 7 balls = 7c1

The probability for removing one blue ball out of 4 blue balls = 4c1

So final probability = 4c1/7c1

Now the remaining balls = 7-1 = 6

The remaining blue balls = 4-1 = 3

For removing second ball:

Total probability to remove one ball out of 6 balls = 6c1

The probability for removing one blue ball out of 3 blue balls = 3c1

So final probability = 3c1/6c1

The final probability to remove two blue balls in succession out of 7 balls is = 4c1/7c1 + 3c1/6c1

   = 4/7 + 3/6

   = 15/14

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Step-by-step explanation:

You can find the answer using sine. Basically, since sine=opposite/hypothenuse, you can write an equation to find the length of the hypothenuse. You can find sine on your calculator. We're going to say hypothenuse=h for this equation.

Sine of angle x= y/h

After plugging in the values, you would just solve the equation.

Answer:

Step-by-step explanation:

As we see on the graph:

... of the local intervals. therefore only point (5, 7) is a local maximum.

Absolute minimum is  - oo, absolute maximum is  + oo

The given function is odd as per above definition

The profit is $105,430,050

From the question, we have

12% of 532,475

= 63, 897.

the manufacturer sells 532,475 warranties

electric guitars sold = 532,475-63,897=468,578

profit  = $225*468,578

=$105,430,050

The profit is $105,430,050

Percentage

Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.

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Answer:

A

Step-by-step explanation:

A

The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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Answer:

The third option I think

Step-by-step explanation:

Answer:

b) <D=<T

I am 78% sure this is the right answer

but remeber: "if you can't figer it out then draw it out"

The coefficient of (3y² + 9)5 is 15.

A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.

Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.

a₀ is the leading coefficient.

In the question, we are asked to identify the coefficient of (3y² + 9)5.

First, we expand the given expression:

(3y² + 9)5

= 15y² + 45.

Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.

Thus, the coefficient of (3y² + 9)5 is 15.

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Answer:

18/45 = 2/5= 40percent

Step-by-step explanation:

try and break the problem down

do many examples

Answer:

8.1% I think

Step-by-step explanation:

45÷100=0.45

0.45×18=8.1

The required angle m∠ADB  of the nomadic tribal rug is 112°

Given, that in ΔAED and ΔBDC,

where, m∠AED = 34° and m∠EAD = 112°

To find m∠ADB

By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.

Therefore in ΔAED,

m∠AED + m∠EAD +  m∠ADE = 180°

   34°  +    112°    +   m∠ADE   = 180°

or,    m∠ADE + 146° = 180°

or,       m∠ADE    = 34°

Similarly, m∠BDC = 34°

Now, by using the sum of linear pair of angles,

m∠ADE + m∠ADB + m∠BDC = 180°

  34° + m∠ADB + 34°  = 180°

   m∠ADB + 68° = 180°

   m∠ADB  = 180°- 68°

    m∠ADB = 112°

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$1.76. A sales tax is a sum of money that a government organization takes in on the sale of particular goods. For instance, a state might impose a tax on all cars bought there. The tax rate is frequently expressed as a percentage of the price.

How to Determine Sales Tax:

Add the tax rate to the cost of your good or service. If the tax rate is expressed as a percentage, convert it to decimal form by multiplying the result by 100. 

1. Find the list price and the tax rate.

2. To obtain the tax rate as a decimal, divide the tax percentage by 100.

3. To calculate tax, multiply the list price by the decimal tax rate.

4. For the final price, multiply the list price by the tax rate.

=> Price before tax: $ 1.61

=> + Sales tax (9.5%): $ 0.15

=> Total price including tax: $ 1.76.

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The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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The graph does not represent a function, as it has vertically aligned points.

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

On the function graph, a vertical line through the graph of the function would cross the graph twice for x > -4, meaning that there are inputs is mapped to two outputs, hence the relation is not a function.

This means that the correct option is given by option B.

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The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

The exponential distribution is a continuous probability distribution that describes the time between two consecutive events that occur randomly and independently of each other. This distribution is useful in the fields of reliability, physics, and finance, among others.

The exponential distribution has a single parameter known as the scale parameter, which is denoted by lambda (λ) and is typically expressed in terms of the mean time between failures.The mean, median, and standard deviation are three of the most common summary statistics used to describe a probability distribution.

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester can also be calculated using the exponential distribution.

Mean: The mean of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the mean is 1/λ = 1/0.143 = 6.993.

Median: The median of the exponential distribution is equal to ln(2)/λ.λ = 1/7 = 0.143

Therefore, the median is ln(2)/λ = ln(2)/0.143 = 4.837.

Standard deviation: The standard deviation of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the standard deviation is 1/λ = 1/0.143 = 6.993.

Probability: P(X > 16) = e^(-λx)λ = 1/7 = 0.143X = 16P(X > 16) = e^(-0.143 * 16) = 0.230

Therefore, the probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

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Answer:

1

Step-by-step explanation:

I like visiting other prisons people up when they are down in the class for lunch

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grams. Babies of smokers typically ranged in weight from 500 to 4500 grams.

Given,

What is the weight at birth?

Birth weight is the term used to describe a newborn's body weight. Typically, newborns of European heritage weigh between 2.5 and 4.5 kilos, on average 3.5 kilograms, at delivery. Babies from South Asia and China typically weigh 3.26 kg.

Here,

Babies of nonsmokers frequently ranged in weight from 1,000 to 5,000 grams. Babies born to smokers frequently weighed between 500 and 4500 grams.

The usual ranges of birth weights between the two groups do show some notable differences, though. Nearly half of neonates among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grams since there are fewer babies in the lower weight ranges. Fewer babies are in the bigger weight groups, with 40 of 74, or 54%, of the newborns delivered to smokers having birth weights between 2,000 and 3,000 grams.

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The expression that results from applying the law of indices and expression is 5x^(-7/3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Here,

The resulted expression will be,

(125x)^(7/3)^(-1/3)

125=5^3

(a^n)^m = a^mn

(5x)^3^7/3^-1/3

(5x)^7*-1/3

5x^(-7/3)

The resulted expression will be 5x^(-7/3) using the law of indices and expression.

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Answer:

0

8

10

Then make thoes ordered pairs so;

(0,0)

(4,8)

(5,10)

Answer:

0,8,10 i think you plug in 0 for x and do the same for the

others