Simplify the expression by
distributing, then combining like
terms!
6(2y +5) - 12

The solution to the system is x = 0, y =2, z = 5

Given the following system:

x+ 2y+z=9      -------- (1)

x- y+3z = 13    -------- (2)

2z = 10            -------- (3)

From (3):

2z = 10

z = 10/2 = 5

Put z = 5 into (1) and (2):

x+ 2y+z=9

x+ 2y+5 = 9

x +2y = 9-5

x +2y = 4     -------- (4)

x- y+3z = 13

x -y + 3(5) = 13

x-y + 15 = 13

x-y = 13 -15

x-y = -2     --------   (5)

Using elimination method on (4) and (5):

Subtracting (5) from (4):

x +2y = 4

x-y =   -2

3y = 6

y = 6/3 = 2

Put y = 2 into (4):    

x +2y = 4

x + 2(2) = 4

x + 4 = 4

x = 4-4 = 0

Therefore, the solution is x = 0, y =2, z = 5. The 3rd option is the answer.

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The solution to the expression 4+(−634) is -630

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

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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The maximum earning is v(r,b)

Let v(r,b) be the expected value of the game for the player, assuming optimal play, if the remaining deck has r red cards and b black cards.

Then v(r,b) satisfies the recursion

and

The stopping rule is simple: Stop when v(r,b)=0.

To explain the recursion . . .

If r,b>0, and the player elects to play a card, then:

Thus, if r,b>0, electing to play a card yields the value f(r,b).

But the player always has the option to quit, hence, if r,b>0, we get v(r,b)=max(0,f(r,b)).

Implementing the recursion in Maple, the value of the game is

v(26,26)=41984711742427/15997372030584

v(26,26)  ≈2.624475549

and the optimal stopping strategy is as follows . . .

So, The maximum earning is v(r,b)

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Answer:

The sales tax is 3%

Step-by-step explanation:

Answer: 4x+6

Step-by-step explanation:

3x-y+8+x+y-2

3x+x +y-y  +8-2

4x+6

In the given equation r = 2/5 t "r" is the dependent variable.

In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.

An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.

A dependent variable is a variable whose value depends on the value of one or more other variables in the equation

Here we have

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups.

She writes the equation r = 2/5 t to describe the relationship.

In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.

Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.

The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.

Therefore,

In the given equation r = 2/5 t "r" is the dependent variable.

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Complete Question:

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Answer: 48 in^2

Step-by-step explanation:

Let's solve each shape

1. The first shape is a rectangle; take 5 times 2 = 10 in^2

2. The second shape is a square; take 2 times 2 = 4 in^2

We see that there are 4 rectangles and 2 squares.

So, we take 10 times 4 = 40 in^2

Then we take 4 times 2 = 8 in^2

Then we add 40 with 8 = 48 in^2

Answer:

A translation 3 units to the right and a 90-degree clockwise rotation

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

absolute value of a positive number remains that way

∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

We are given that:

AB = BC

Now, draw a angle bisector from point B to the line AC in a way that it intersects AC at D.

Now, we get that:

∠ABD = ∠CBD ( BD is the angle bisector)

BD = BD ( common line)

So, ΔABD ≅ Δ CBD ( SAS property)

So,

∠A = ∠ C ( CPCT rule)

Also, it will be true for every isosceles triangle.

Therefore, we get that, ∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

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Your question was incomplete. Please refer the content below:

There is an isosceles triangle with AB = BC. Prove that ∠A = ∠C.

Did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle.

Answer:

14.0625 = \(\frac{225}{16}\)

6.41666666666... = \(\frac{77}{12}\)

Hope that this helps!

Explanation:

the equation of a line in

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange

2

x

−

3

y

=

12

into this form

subtract 2x from both sides

⇒

−

3

y

=

−

2

x

+

12

divide all terms by

−

3

⇒

y

=

2

3

x

−

4

←

in standard form

with

m

=

2

3

given a line with slope m then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

2

3

=

−

3

2

⇒

y

=

−

3

2

x

+

b

←

is the partial equation

to find b substitute

(

2

,

6

)

into the partial equation

6

=

−

3

+

b

⇒

b

=

6

+

3

=

9

⇒

y

=

−

3

2

x

+

9

←

equation of perpendicular line

"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."

To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.

By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix

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Answer:

A duck with 2 feet

Answer:

Donald duck and Remy

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

200

Answer: 40 c

Step-by-step explanation:

Answer:

2.5

Hope I helped

Answer:

the answer is 5.286

Step-by-step explanation:

There are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

In this case, we must employ the combination as well as repetition formula.

C(n + r-1, r) = (n + r -1)!/ r! (n - 1) !

n = 10 is provided (The number of questions)

Every question is worth a minimum of 5 points.

For 10 question = 10×5 = 50 points.

The total are 100 (sum of the scores)

r = 100 - 50

r = 50

Applying the formula.

C(10 + 50 - 1 , 50) = (10 + 50 - 1)!/ 501 (10 - 1)!

C(59, 50) = 59!/50!9!

We get by clarifying the above factorial.

C(59, 50) = 12,565,671,261

Thus, there are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

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Answer:

The washing machine cost $600 before tax

Step-by-step explanation:

Percentages

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

That is the final price, thus

1.085x=$651

Solving:

x = $651/1.085

x = $600

The washing machine cost $600 before tax

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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Answer:

a9=2

a11=15.4

a3=?

________

a3 = −38.2

Step-by-step explanation:

Hope this helps u . ♡

Answer:

x

x

are the same

Step-by-step explanation:

when you plug in g(x) into f(x)

f(x)=16((1/4)(x)^.5)==x

then vice versa

g(x)=(1/4)((16x^2)^.5)==x

They are the same and, therefore, inverses of each other.

Explanation

to solve we need to siolate j, so

Step 1

apply the addition property of equality, it says If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

hence

Step 2

now, we need to remove the factor 2, to do that, let's apply the division property of equality,it states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal,so

therefore, the answer is

I hope this helps you

Answer:

4

Step-by-step explanation:

3x-5=7x-21

3x-7x=5-21

-4x=-16 ( divide by -4 both sides)

x= 4

Answer:

A) Track L and Track N are similar because they have the same proportions

B)

Length of Track L: 210 ft

Width of Track L: 140 ft

Length of Track M: 350 ft

Width of Track M: 200 ft

Length of Track N: 300 ft

Width of Track N: 200 ft

Answer:

Avani is the tiktoker everyone adores. however 49499 +4939+ 4969 is not the answer your looking for you. you have to subtract 39 from 129 to get the exact meters. and round it to the nearest tenth.

Step-by-step explanation:

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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