01) Solve for x the equation 5x - 3=12*
O
x=1
O
x=3
O x=5
O x=7

Answer:

- cosec x + cot x + x + c

Step-by-step explanation:

[tex] \int \frac{cos x}{1 + cos x} dx\\

=\int \frac{cos x(1-cosx)}{(1 + cos x)(1-cosx)} dx\\

=\int \frac{cos x-cos^2 x}{(1-cos^2 x)} dx\\

=\int \frac{cos x-cos^2 x}{sin^2 x} dx\\

=\int \bigg (\frac{cos x}{sin^2 x}- \frac{cos^2 x}{sin^2 x}\bigg) dx\\

=\int (cotx \: cosecx- cot^2 x) dx\\

=\int [cotx \: cosecx- (cosec^2 x-1)] dx\\

=\int (cotx \: cosecx- cosec^2 x+1) dx\\

=\int (cotx \: cosec) dx- \int cosec^2 x dx+\int 1 dx\\

= - cosec x + cot x +

x + c[/tex]

Answer: A.) Critical values: r= ± 0.514, no significant linear correlation

Step-by-step explanation:

r = 0.105

n = 15

The level of significance for a two-tailed test is 0.05

The degrees of freedom = n - 2 = 15 - 2 = 13

Using the pearson product moment correlation Coefficient table ; The critical value for the correlation Coefficient is ±0.513977

When the correlation coefficient (for a sample of 15 drawn from the same population) is less than ±0.514 (critical value), that means no significant linear correlation exists.

Answer:

Answer: D. How many bored games have you played in the past month

D because a statistical question is where you collect data and has to have a variability in that data.

Because it’s statistical

Step-by-step explanation:

Answer:

C. How many board games require a deck of card to play?

Step-by-step explanation:

A. is automatically out because you will only get one answer and you need to have veniality.

B. is also automatically out because then again you will only get one answer.

D. is a tricky one thought, it may look like it is the right answer but it is not because you will once again only get one answer. And based on how the question was worded it sounds like they were asking a specific person. (You have to ask more than one person in order to make that question statistical.)

For example, Say the question was: How many times have you watched star wars this past month? It may not be the same question but it has the same format. So, if you ask someone how many times have they had watched Star Wars this past month, they will say a specific number, like 7. The same goes with question D.

Hope this helped! :)

Answer:

The sum of their measures is 180°.

Answer: 1.43 hours

Step-by-step explanation:

Let their speeds be = x km/h

The time taken by Tory will be= 50/x hours to dock

Emilio pilots for another 2 hours and this will be= (50/x)+2) hours

Emilio pilots 120 km for (50/x)+2) hours

d/t=r

120/(50/x) +2) =x

120 = [x(50/x) +2)]

120= 50+2x

2x= 120-50

2x = 70

x= 70/2

x = 35

Tory takes 50/35 = 1.43 hours for 50 km.

Answer:

8/27

Step-by-step explanation:

4 x 2 = 8

9    3   27

Final answer:

The expression 4/9 x 2/3 simplifies to 8/27, which cannot be reduced further as there are no common factors between the numerator and the denominator.

Explanation:

The original expression given is 4/9 x 2/3. To simplify this expression, we multiply the numerators together (4 x 2) and the denominators together (9 x 3). The product of the numerators is 8, and the product of the denominators is 27, giving us the fraction 8/27. This expression can't be simplified further because 8 and 27 have no common factors other than 1.

If we refer to the example of the scale factor, such as 1:4 scale, it is different from the multiplication of fractions. However, in the case of the proportion 1:2 = 4:x, we solve for x by cross-multiplying, resulting in x being 8. This is a proportional relationship and not directly related to the original fraction multiplication.

Answer:

$28

Step-by-step explanation:

First, you would want to find the amount of money that you earn per car. So, for each car you make $4. Then, multiply 7 times 4 and get 28.

$28 is the answer!

Answer:

58

Step-by-step explanation:

58.58 - 0.58 = 58

Answer:

d

Step-by-step explanation:

58.58-0.58=58

Answer:

0.0853

Step-by-step explanation:

Step 1

The first step would be to find the Z score

Formula for Z score is given as

z = x – μ /( σ ÷ √n)

Where

x = observed value

μ = mean

σ = Standard deviation

n = sample size

In the question we were given the above values as :

x = observed value = $7500

μ = mean = $7200

σ = Standard deviation = $1200

n = samples size = 30

Z score (z) = $7500 – $7200 /($1200÷ √30)

Z score = $300/ ( $1200 ÷ √30)

Z score = 1.3693063938

Approximately, the Z score = 1.37

Step 2

Using this formula:

1 - P(z > 1.37)

Using the Standard distribution table,

P(z > 1.37) is given as

0.9146565

Therefore,

1 - P(z > 1.37)

= 1 - 0.9146565

= 0.0853435

In the question we were asked to round it up to 4 decimal places

= 0.0853

Therefore, the probability that the mean daily revenue for the next 30 days will exceed​ $7000 is 0.0853.

Answer:

The with and length of the original rectangle are:

width: 20 ft

Length: 30 ft

Step-by-step explanation:

Lets check

Yes, 30 is 10 longer then 20,

the area of the original is 600

if it was 40 and 30 then it would equal 1200

Answer:

Put one dot on the line above 18 directly where the numbers are on the left side line. Put the second dot on line 2 for X axis and y axis is the line above 20

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Find the solutions

[tex](x + 5)(x - 3) = 0[/tex]

(x + 5) = 0

[tex]x + 5 - 5 = 0 - 5[/tex]

[tex]x = -5[/tex]

(x - 3) = 0

[tex]x - 3 + 3 = 0 + 3[/tex]

[tex]x = 3[/tex]

Answer: Options B, E

The number is 2 if five times the difference between a number and three is negative five the answer is 2.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

Five times the difference between a number and three is negative five. Find the number.

Let's suppose the number is x

From the question:

5(x - 3) = -5

After using the distributive property:

5x - 15 = -5

Add 15 on both sides:

5x - 15 + 15 = 10 + 15

5x = 25

Divide by 5 into both sides

x =25/5

x = 2

Thus, the number is 2 if five times the difference between a number and three is negative five the answer is 2.

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Answer:

Step-by-step explanation:

Width = w

Length = 3w

Area = 243 square units

length *width = 243

3w * w = 243

3w² = 243

The equation that can be used to find the width of the rectangle is 3w² = 243.

A rectangle is a polygon having four sides , The opposite sides are equal to each other and measure of all the angles is 90 degrees.

It is given that

A rectangle's length is three times its width, w.

l = 3w

Its area is 243 square units.

Area of a rectangle is given by

length * breadth

l*w

3w*w = 243

3w² = 243

equation that can be used to find the width of the rectangle is 3w² = 243.

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Answer:

c

each sidelength is the same, lwh, 27

Answer:

C.

LxWxH=V

V = S^3

Answer: yes

Step-by-step explanation:

Answer:

the answer is 12.2

Step-by-step explanation:

thats what i got

Answer: 12.2

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Determine which option

First let me explain you what dependent means, it means that the next event is affected by the previous event.  On the other hand, independent means that all of the events have the same chance of happening and the items don't disappear.  

In this question, if a person chooses a donut there are no more of that type and the next event is affect by the previous one.  Therefore, this question is dependent.

Answer:  Dependent

Answer:

x = 3

Step-by-step explanation:

The solution to the equation is x = (-1 + √(57))/2.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the logarithmic identity log(a) + log(b) = log(ab), we can simplify the left side of the equation:

log(x - 1) + log(x + 2) = log((x - 1)(x + 2))

So the equation becomes:

log((x - 1)(x + 2)) = log 12

Using the logarithmic identity log(a) = b is equivalent to a = 10^b, we can rewrite the equation as:

(x - 1)(x + 2) = 12

Expanding the left side and simplifying, we get:

x² + x - 14 = 0

Using the quadratic formula, we find:

x = (-1 ± √(1 + 4 x 14))/2

x = (-1 ± √(57))/2

Since we can't take the logarithm of a negative number, we discard the negative solution and obtain:

x = (-1 + √(57))/2

Therefore,

The solution to the equation is x = (-1 + √(57))/2.

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75% of 52 would be 39.

The first step would be to multiply 52 by 0.75 (turning the percentage into a decimal). After that, it should come out as 39.

If this helped in any way, please thank, rate, and mark as brainliest. If you have any other questions or concerns, feel free to ask! Thank you, stay safe, and have a great rest of your day/quarantine!

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Answer:22.75

Step-by-step explanation:

Answer:

8 bowls

Step-by-step explanation:

2/3 = 8/12

8/12 ÷ 1/12 = 8

This should be right. Sorry if it isn't.

Answer:

8 bowls

Step-by-step explanation:

In total, we have 2/3 of a gallon of ice cream. Essentially, we want to divide this 2/3 gallons into b bowls such that each bowl has 1/12 of a gallon.

We can write this as the mathematical equation:

2/3 ÷ b = 1/12

Multiply both sides by b:

2/3 = (1/12) * b

Divide both sides by 1/12:

(2/3) ÷ (1/12) = b

Remember that when dividing fractions, it's the same as multiplying by the reciprocal, so:

(2/3) ÷ (1/12) = b

(2/3) * (12/1) = b

b = 8

Thus, the answer is 8 bowls.

Answer:

26

0.18x = 4.68

x = 4.68/0.18

x = 26

Step-by-step explanation:

The number 26 is 0.18 of the number 4.68.

Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 0.18 times, the number is 4.68. The value of the unknown number is calculated below;-

Let the unknown number be x and now form an equation and solve for the value of x.

0.18x = 4.68

x = 4.68/0.18

x = 26

Therefore, the number 26 is 0.18 of the number 4.68.

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Answer: A:12

Step-by-step explanation:

10*x=10x

15*8=120

120/10x=12

The value of x for the given problem is 12.

A straight line segment joining two points on a circle is called a chord. It is, in fact, a segment of a line whose ends lie on the circle. Drawing a line segment between the two ends and passing through the center of the circle is a common method of symbolizing a chord.

The products of the measures of the chord segments are equal when two chords cross over one another.

The following is the product to get the length x:

10 * x = 8 * 15

10x = 120

x = 120/10

x = 12

Therefore, the value of x is 12

Answer:

17 c (3 c^2 - 2)

Step-by-step explanation:

Factor the following:

51 c^3 - 34 c

Hint: | Factor common terms out of 51 c^3 - 34 c.

Factor 17 c out of 51 c^3 - 34 c:

Answer: 17 c (3 c^2 - 2)

Answer:

Y-intercept:3

slope: -6

Step-by-step explanation:

because the slope ends with x because that's what will go on the x line of a graph.and the y-intercept ends with y because that's how the number will increase.Hope it helps:)!

The equation -6x + 3y = -9 is rearranged to y = 2x - 3. The slope (m) is 2, and the y-intercept (b) is -3.

To find the slope and y-intercept of the line represented by the equation -6x + 3y = -9, we need to rearrange it into the slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept.

Step 1: Rearrange the equation:

-6x + 3y = -9

Add 6x to both sides:

3y = 6x - 9

Step 2: Solve for y:

Divide both sides by 3 to isolate y:

y = (6/3)x - (9/3)

y = 2x - 3

Now, the equation is in the slope-intercept form. The slope (m) is the coefficient of x, which is 2, and the y-intercept (b) is the constant term, which is -3.

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Answer:

13/3 or 4 1/3

Step-by-step explanation:

First you convert your mixed numbers into improper fractions:

5/3 × 13/5

You can reduce these fractions by the greatest common factor of 5

1/3 × 13

Multiply

1/3 × 13 = 13/3   or     4 1/3

The product of the given expressions A, B, C, and D is 1. This is computed by recognizing A and C as conjugates (and likewise B and D), and using the difference of squares rule.

Given the expressions of A, B, C, D as written in the question, what needs to be done is to multiply these expressions together. Since B is the negative of A, and D is the negative of C, you can rewrite ABCD as:

A*(-A)*C*(-C)

which simplifies to -(AC)2. You'll notice that A and C are conjugates. This means that squaring them results in the difference of squares, or a2 - b2. Implementing this, we get:  

the product ABCD, we can use the distributive property of multiplication over addition. We have:

ABCD = (A + B)(C + D)

Substituting the given values of A, B, C, and D, we get:

ABCD = ((√2008 + √2009) + (-√2008 - √2009))((√2008 - √2009) + (√2009 - √2008))

-(sqrt{2008}2 - sqrt{2009}2) = -(2008 - 2009) = 1

So, the product of the given expressions A, B, C, and D is 1.

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To find ABCD, we multiply the given values together and simplify the expressions using the difference of squares formula. The value of ABCD is -1.

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), to find ABCD, we multiply the given values together:

ABCD = ((√{2008}+√{2009})(-√{2008}-√{2009}))((√{2008}-√{2009})(√{2009}-√{2008}))

By expanding the multiplication and simplifying the expressions, we get:

ABCD = (√{2008}² - (√{2009})²)((√{2009})² - (√{2008})²)

After applying the difference of squares formula, we have:

ABCD = (2008 - 2009)(2009 - 2008)

Simplifying further, we obtain:

ABCD = (-1)(1) = -1

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the complete Question is given below:

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), find ABCD.

Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06