I need help with number 12. you have to spligy the expression and the answer will reveal a letter

The value of x is 29° and it's a supplementary angles.

Supplementary angles simply means the angles that have a sum that is equal to 180°

In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:

2x + 15 + 5x - 38 = 180

Collect like terms

7x - 23 = 180

Collect like terms

7x = 180 + 23

7x = 203

Divide

x = 203/7

x = 29°

The complete question is written below.

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Complete question

Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary

Answer:

2ln5 + ln4 + ln5

Step-by-step explanation:

Think about how we can write 500 in terms of 4 and 5.

[tex]500 = 5^2*(4*5)[/tex]

So ln(500) can be written as ln(5^2*4*5)

Using log rules [tex]log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)[/tex]

we can rewrite ln(500) to 2ln5 + ln4 + ln5

The simplified value of the expression given as -9 (-5 - 4c) is 45 + 36c

From the question, the expression is given as

-9 (-5 - 4c)

To simplify the expression, we start by opening the bracket

So, we have the following equation

-9 (-5 - 4c) = -9 (-5 - 4c)

Remove the brackets

So, we have

-9 (-5 - 4c) = -9 x -5 -9 x - 4c

Evaluate the products

So, we have

-9 (-5 - 4c) = 45 + 36c

Hence, the value of the expressions is  -9 (-5 - 4c) = 45 + 36c

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Answer:

???

Step-by-step explanation:

Is there a English version for this question?

Answer:

You would each pay $6.42

Have a good one!

Answer:

(10 x 9) + (2 x 9) = 90 + 18 = 108

Step-by-step explanation:

This is the answer because you break 12 into different parts, multiply them separately multiply them with nine. You can check the answer by doing 12*9 = 108 which matches what we need.

bags of leaves : 5

Cost = $10

Divide the cost by the number of bags:

10/5 = $2 per bag

Now, multiply by 25

2 x 25 = $50

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

How to calculate the probability distribution's mean: Steps

A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.

Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).

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To determine the equation that best describe the data in the table, let us substitute the value of x given on the table into each equation and check for the equation that gives us the corresponding values of y;

for x = -2, y=-4; substituting x= -2 into each equation, we have;

From the first substitution, only equation a and c gave us the corresponding value of y.

Secondly, let's substitute another value of x into the two right right equaabove to confirm the best;

At x=1, y= -7; substituting x=1 into equation a and c we have;

From the above only equation c gave us the corresponding value of y at x=1.

Since only equation c gave us the corresponding values of y for both substituttions. The equation that best describe the data on the table is equation cequatio

Answer: 50 degrees

Step-by-step explanation: 23+107+x=180

130+x=180

x=50

Answer: g ≤ 5

Step-by-step explanation: 2g + (g + 5) >= 6g - 10 ⇒ g ≤ 5

The solution b = 1.4 represents the weight of one bag of bean.

In the question;

it is given that

weight of cardboard box when empty = 0.6 pounds

number of bean bags = 15 bags

weight of rice bag = 4 pounds

let the number of bean bags = b

total weight of carboard box with contents= 25.6 pounds

So , according to the question

0.6 + 15b + 4 = 25.6

solving further , we get

15b+4.6 = 25.6

15b = 25.6-4.6

15b = 21

b = 21/15

b = 1.4

Therefore , the solution b = 1.4 represents the weight of one bag of bean.

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The hypotenuse bracing must be 80 inches long in order to fit between the posts, when the height of the post is 48 inches and there is 64 inches between posts i.e base.

We must understand that a right angle is formed by the height of a post and the horizontal space between posts. The hypotenuse of a right triangle is then the diagonal that connects one post's highest point to its lowest point. The length of this hypotenuse can then be determined using the Pythagorean theorem.

The Pythagorean theorem states that H2 = P2 + D2, where P is the height of a post (cathetus), D is the distance between posts (cathetus), and H is the hypotenuse (diagonal).

We can substitute these values since we are aware of them: ​

H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²​

H= [tex]\sqrt{6400}[/tex] inches

H   = 80inches​

Therefore, The length of the diagonal brace be in order to fit between the posts is 80 inches.

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The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

Given,

The equation is :

p(x) = [tex]4x^3+x^2-24x-6[/tex]

c = -1/4

To find the remaining zeroes of p

Now, According to the question:

[tex]4x^3+x^2-24x-6[/tex]

Apply grouping

[tex](4x^3+x^2)+(-24x-6)=0[/tex]

Factor out common factor

[tex]x^{2} (4x+1)-6(4x+1)=0[/tex]

[tex](x^2-6)(4x+1)=0[/tex]

Apply zero Product Property

4x +1 = 0 or [tex]x^{2} -6=0[/tex]

x = -1/4 or x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex]

Hence, The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

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Given:

There are given the complex equation:

Explanation:

To find the value, we need to put the standard value of z into the above-given complex function:

Then,

Then,

So,

Then,

Final answer:

Hence, the value of the given complex function is shown below:;

We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.

We can break apart the figure as shown below:

The location on the number line to plot the sum of the given number is shown in the image attached below.

In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

Note: Each interval on this number line represents 1/10.

Next, we would add the given numbers together as follows:

Number = −1 3/10 + 2/5

Number = −13/10 + 2/5

Number = (-13 + 4)/10

Number = -9/10 or -0.9.

Therefore, the sum would be located between -4/5 and -1.

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The percentage of the sixth graders at this middle school write left-handed is 8%.

Since there are there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. The total number will be:

= 90 + 60

= 150 students

Since 9 girls and 3 boys write left-handed, this will give a total of 9 + 3 = 12

Therefore the percentage for left handed people will be:

= Number of left handed people / Total students × 100

= 12 / 150 × 100

= 8%

The percentage is 8%.

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Answer:

y = 2x

Step-by-step explanation:

The slope is 2.  Find a point on the line, to go back to the line, go up two and one to the right.  You will be back on the line.  This pattern repeats over and over and again.

Based on the given shopping list, when put in BIMDAS format and then solved, the total amount would be $26.90

In BIMDAS format, we have to solve the problem in the brackets first and then use the order of operations to find the total shopping cost.

The BIMDAS format would be:

= (Number of orange dozens x Cost per dozen) + (Number of bacon packets x Cost per packet) + (Number of strawberry packets x Price per packet)

= (3 x 4.50) + (2 x 2.50) + (2 x 4.20)

The solve those in the brackets:

= 13.5 + 5 + 8.40

Then add the costs to find the total cost on the shopping list:
= 13.5 + 5 + 8.40

= $26.90

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Based on the shopping list given in the problem, in BIMDAS format and then solved, the total amount will be; $26.90

In BIMDAS format, we need to solve the problem in the brackets first and then use the order of operations to determine the total shopping cost.

The BIMDAS format is:

= (Number of orange dozens x the Cost per dozen) + (Number of bacon packets x the Cost per packet) + (Number of strawberry packets x the Price per packet)

= (3 x 4.50) + (2 x 2.50) + (2 x 4.20)

The solutions in the brackets:

= 13.5 + 5 + 8.40

Then add the costs for the total cost on the shopping list which is;

= 13.5 + 5 + 8.40

= $26.90

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Answer:

second answer

Step-by-step explanation:

The number of permutations possible to seat the 3 pairs of siblings in a way that one may not sit right next to their sibling and no child may sit directly in front of his or her sibling is 96.

A permutation cannot be formed with siblings in the same row.

As a result, each row should have siblings from various families.

Any of the six youngsters can take the first seat.

After deducting the kid who currently occupies the first seat and their sibling, the second seat can be filled by any of the four children.

permutation = 6 × 4

permutation = 6 × 4 × 2

Now, for the third row, there are only 3 children left to be seated.

Only 2 out of the remaining three can be seated in the first position.

Hence, the remaining possibility is 2.

permutation = 6 × 4 × 2 × 2

Similarly, the third row can only be filled with one possibility remaining of the 6 since it is not allowed to seat siblings right up front.

permutation = 6 × 4 × 2 × 2 × 1 × 1 = 96

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Exponential decay formula:

y is the number of tickets sold at t years

a is the initial number of tickets sold

r is the rate of drop (in decimal form)

t is the time in years

8 years from now:

Answer:

x = 10

Step-by-step explanation:

(5x + 3) and 53 are corresponding angles and are congruent , then

5x + 3 = 53 ( subtract 3 from both sides )

5x = 50 ( divide both sides by 5 )

x = 10

The value of 'x' is highlighted in the box

ANSWER

25

EXPLANATION

We are given that p and q intersect to form <1 and <2 that are adjacent.

Let us represent that with a diagram:

We have that <1 and <2 are supplementary.

This means that they add up to 180 degrees.

So:

<1 + <2 = 180

4x - 3 + 3x + 8 = 180

Collect like terms:

4x + 3x + 5 = 180

7x = 180 - 5

7x = 175

x = 175 / 7

x = 25

That s the value of x for which <1 and <2 are supplementary.

The problem states that "three increased by a quotient", this implies that the three is separated from the quotient, therefore, we need to create the equation in the following manner:

The correct answer is "b".

Answer:

12 m

Step-by-step explanation:

area = (side)²

(side)² = area

√(side)² = √(area)

side = √(area)

side = √(144 m²)

side = 12 m