5x - 12 = 9-2X please help

5 weeks do Newton and Descartes spend at home. This can be solved using the concept of fractions.

In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole. Both the numerator and denominator are components of a fraction. The top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Given that,

Newton and Descartes have a 70-day summer vacation

They go to camp for 23/70 of their vacation

= 70 × (23/70)

= 23

Next, they travel for 6/35 of their vacation

= 70 × (6/35)

= 12

So, they stay home the rest of their vacation

= 70 - 23 - 12

= 35

Now, they stay home (35 ÷ 7) = 5 weeks.

Therefore, 5 weeks do Newton and Descartes spend at home.

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The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

Step-by-step explanation:

She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.

Answer: 20 ways

Step-by-step explanation: I believe that you would need to use permutation, so:

5P2 = 20

The rounded answer is that approximately 68% of scores were between 473 and 559.

To calculate this, we can use the formula for a normal distribution: P(μ−σ < X < μ+σ) = 68%, where μ is the mean and σ is the standard deviation.

For our problem, our mean is 516 and our standard deviation is 43. Therefore, our equation becomes P(473 < X < 559) = 68%. This means that 68% of scores were between 473 and 559, which is our answer.

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Answer:

Step-by-step explanation:

a) Total weight comprises of the weight of jar plus weight of Jolly Ranchers

b) When the candy jar is full, it weighs 1224 grams. How many Jolly Ranchers can the jar hold?  

Given w = 1224, then to find j we solve the equation:

The jar can hold 129 Jolly Ranchers

The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.

To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.

In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )

Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³

Therefore, the simplified expression is x³ - x²y - xy² + y³.

Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.

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I pretty sure the answer is C

Step 1:

\(25+10x+x^2\)

Let's split split 10x to factorise

Step 2:

\( = 25 + 5x + 5x + {x}^{2} \)

Step 3:

\( = 5(5 + x) + x(5 + x)\)

Step 4:

\( \green{= (5 + x)(5 + x)✓}\)

Best regards!

★Dull Star★

Answer:

(x+5)(x+5)

Step-by-step explanation:

Let's arrange it in a proper manner first of all.

Step: Spilt 10x in order to factorize it.

x² + 10x + 25

0r, x² + 5x + 5x + 25

Step: Make two pairs from equation

x² + 5x + 5x + 25

0r, x(x+5) + 5(x+5)

Step: Take common thing from the given equation

x(x+5) + 5(x+5)

0r, (x+5)(x+5)

Hence, (x+5) and (x+5) are the factor for the given equation.

Answer:

Yes

Explanation:

1.3/7.8 = 0.167

3/18 = 0.167

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.

I hope it helps.

Answer:

b)  f(x) = -16x² + 8x + 30

Step-by-step explanation:

When a ball is thrown, its path of motion can be modelled as a parabola that opens downwards.

The graph of a quadratic equation f(x) = ax² + bx + c is a parabola.

Therefore,  f(x) = -16x² + 8x + 30  could potentially model the time (in seconds) it takes a ball tossed from a window to touch the ground, as its graph is a parabola that opens downwards.

If this function was used to model the scenario, the height of the window above the ground would be the y-intercept (30 feet), and the time when the ball touched the ground would be the positive x-intercept (approx 1.64 s).

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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Since f(f1(y)) = y and f1(f(x)) = x, we can conclude that f1 is the correct inverse function for f.

Function can be defined in which it relates an input to output.

Given function ,

The function f(x) = x³ +9 is one-to-one.

To find the inverse function f1, we need to switch the roles of x and y in the equation for f(x). So, we have:

y = x³ + 9

Next, we need to solve for x in terms of y:

x³ + 9 = y

x³ = y - 9

x = (y - 9\()^{(1/3)}\)

So, the inverse function is:

f1(y) = (y - 9\()^{(1/3)}\)

To verify that f1 is the correct inverse function, we need to show that f(f1(y)) = y and f1(f(x)) = x:

f(f1(y)) = f((y - 9\()^{(1/3)}\) = (y - 9\()^{(1/3)}^3\) + 9 = y - 9 + 9 = y

And:

f1(f(x)) = f1(x³ + 9) = (x³ + 9 - 9\()^{(1/3)}\) = \(\mathrm{ x^3^{(1/3)}}\) = x

Therefore, Since f(f1(y)) = y and f1(f(x)) = x, we can conclude that f1 is the correct inverse function for f.

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The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2

The given shape is the right-angled triangle

Such that

We have angles = 30 degrees and 45 degrees

The measure of y can be calculated using the following sine ratio

sin(45) = y/24

Make y the subject

So, we have

y = 24 * sin(45)

When evaluated, we have

y = 12√2

The length x is calculated as

sin(30) = x/y

So, we have

x = y * sin(30)

This gives

x = 12√2 * 1/2

Evaluate

x = 6√2

Hence, the value of x in the triangle is 6√2

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The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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To determine which of the following subsets of P2 are subspaces of P2, you should use the subspace test from the lectures.

For each subset, you need to check if it is closed under vector addition, closed under scalar multiplication, and contains the zero vector. If the subset satisfies all three conditions, then it is a subspace.

For example, the subset S = {2x2+3x+1, x2+3x+2} is a subspace of P2 because it is closed under vector addition (2x2+3x+1 + x2+3x+2 = 3x2+6x+3) and closed under scalar multiplication (2*(2x2+3x+1) = 4x2+6x+2).

Additionally, it contains the zero vector (0x2+0x+0). Therefore, it is a subspace of P2.

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Answer:

Step-by-step explanation:

You want to identify the rate of change of a graph that has points 1 week apart horizontally and 4 cm apart vertically.

The rate of change (m) of a curve on a graph is the ratio of rise to run.

Here, the graphed points differ by 4 cm vertically, and 1 cm horizontally. The rate of change is ...

  m = rise/run = (4 cm)/(1 week) = 4 cm in 1 week

  = 4/1 = 4 . . . . . centimeters per week

The rate of change can be described as ...

Answer:

P = 0.309

Step-by-step explanation:

Answer:

5790

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

5790

Step-by-step explanation:

0.579 × \(10^{4}\)

Calculate 10 to the power of 4 and get 10000.

0.579 × 10000

Multiply 0.579 and 10000 to get 5790

5790

The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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Answer:

im pretty sure the answer is (-5,-7)?

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Answer: 7z + 17

Step-by-step explanation: add 15 and 2

Answer:

6x^2 + 6x + 6x + 6

Step-by-step explanation:

You're cross multiplying the numbers on the left with the numbers on the right. Here is the order you multiply them in to eliminate the brackets, aka simplify the equation.

Step 1: (this ....) x ( this ....)

Step 2: (this ....) x (.... this)

Step 3: (.... this) x (this ....)

Step 4: (.... this) x (.... this)

REMEMBER!! When you multiply numbers with x's in them, make sure that you're multiplying the X's together too. For example, 2x times 3x is 6x^2 NOT 6x. Why? x times x is x^2 (aka x squared)

Answer:

S - 8

Step-by-step explanation:

S - 8.

hope this helps! Have a great day!

The inverse function of f (x) = 1/3x - 2 is f⁻¹(x) = 3(x + 2), the value of a is 3, and the value of x-intercept is x = -2.

To find the inverse of the given function as it is not a one to one function (has the same value f(x) for more that one value of x) you restrict the domain to get a function one to one.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f (x) = 1/3x - 2

Find its inverse as shown below,

Add 2 to x and then divide by 1/3 as shown below,

f⁻¹(x) = (x + 2) / 1/3

f⁻¹(x) = 3(x + 2)

compare with f⁻¹(x) = a (x + 2)

a = 3

Calculate the x-intercept by putting f(x) = 0

0 = x + 2

x = -2

In a quadratic function as given use the vertex to restrict the domain; restrict the domain using coordinate x of the vertex.

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Not enough information is provided to answer Because there aren't being given an exact amount of each currency. So the correct option is E.

We have been given information;

Alisa has a bunch of coins. She has pennies. She has nickels. She has dimes She has quarters. They lie in one big pile.

Alisa wants to organize her coins So she goes into her cupboard and finds four jars.

Each jar has a different shape and size. Alisa puts the pennies into one jar and puts the nickels into another jar.

She puts the dimes into another jar. She puts the quarters into another jar Then she puts all four jars on the table and steps back.

Not enough information is provided to answer Because there aren't being given an exact amount of each currency, there is no way to know for sure which jar would have the most money in it.

So the correct option is E.

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This means that we can be 90% confident that the true proportion of oil tankers that have spills each month falls within this range.the z-value that corresponds to a cumulative probability of 0.95. This gives us z* = 1.645

A confidence interval is a measure of the reliability of an estimate, expressed as a range around the estimate. It reflects the degree of uncertainty we have in estimating a population parameter based on a sample statistic.

It tells us how close we can reasonably expect the true population parameter to be to the estimate we computed from the sample. Here is how to find the 90% confidence interval for the population proportion of oil tankers that have spills each month:

First, we need to determine the sample proportion (p-hat), which is calculated as follows:p-hat = (number of successes) / (sample size)= 446 / 564= 0.791

Second, we need to compute the standard error of the sample proportion (SE),

which is given by:

SE = sqrt[p-hat(1-p-hat) / n]

= sqrt[(0.791)(0.209) / 564]

= 0.0211

Third, we need to find the critical value (z*) associated with a 90% confidence level.

This can be done using a standard normal distribution table or a calculator. For a two-tailed test, we divide the alpha level (0.1) by 2 to get 0.05, and then find the z-value that corresponds to a cumulative probability of 0.95. This gives us z* = 1.645.

Fourth, we can now construct the confidence interval using the formula:p-hat ± z*SE= 0.791 ± (1.645)(0.0211)= 0.755 to 0.827The 90% confidence interval for the population proportion of oil tankers that have spills each month is 0.755 to 0.827.

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Answer:

Parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okay, so, 2 necklaces would be $20.

One hour would be + $2.75

Three hours would be + $8.25

So all the hours together would be $11

Then, you add $20 + $11 to get $31.