Find the exact solutions of the given equation in the interval .
sin 4x= –2sin 2x

Answer:

Mr. Carson drove 39 more miles in April than in May

Step-by-step explanation:

1027-988=39

Answer: The correct statements are:

1 SS before tax costs $19.20

Sales tax for 2 SS is $2.88

Total cost for 2 SS is $41.28

Step-by-step explanation:

$16 x 1.20 = $19.20 cost before tax

$19.20 x 0.075 = $1.44 sales tax, one shirt

Sales tax for 2 shirts = $1.44 x 2 = $2.88

Total cost of a shirt = $19.20 + $1.44 = $20.64

Total cost for 2 shirts = $20.64 x 2 = $41.28

The five number from the box plot is presented as follows:

A box and whisker plot shows five things of a distribution, listed as follows:

The value that 75% of the measures are larger than is found in the first quartile, which is the median of the data set's lowest 50% of measurements.

The data set's maximum value.

These numbers, which make up the five number summary, are the values highlighted on the box plot from left to right, from the minimum value to the greatest value, passing through the first quartile, the median, and the third quartile.

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The measure of the line AC is 15√3/2

The measure of the line BC is 15/2

Triangle ABC is the display style for a triangle with vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs, Right triangles follow the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs of a right triangle (a2 + b2 = c2). Special right triangles have extra characteristics that simplify computations involving them. The 3-4-5 right triangle is one of the two most well-known.

Sin 60⁰=x/15

√3/2=x/15

x=15√3/2

The measure of the line AC is 15√3/2

Cos 60⁰= y/15

1/2=y/15

y=15/2

The measure of the line BC is 15/2

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What is the place value of digit 4 in 405,799:

4: one hundred thousandth place

0: ten thousandth place

5: one thousandth place

7: hundredth place

9: tens place

9: ones place

Answer:

100,000 thousand

Step-by-step explanation:

The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.

The best first step to solve equations, x+y = 3 and 4x-y = 7, is to add the first equation to the second equation.

According to the question,

We have the following system of equations:

x+y = 3 .....(1)

4x-y = 7 ....(2)

Now, these equations can be easily solved by adding the first equation to the second equation because we will only then have one variable which is x and y when added to -y will result in zero.

We can solve these equations by adding as follows:

x-y+4x+y = 3+7

5x = 10

x = 10/5

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

2+y = 3

y = 3-2

y = 1

Hence, the correct option is B.

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Answer:

80

Step-by-step explanation:

the mean of a data set is calculated as

mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{88+72+68+78+94}{5}[/tex] = [tex]\frac{400}{5}[/tex] = 80

Answer: 39

Step-by-step explanation:

it starts at 11 and adds 7 everytime, assuming its linear (meaning it has a constant rate of change) u would add 7 to 32 to get your 5th value

Answer: y = 39

Step-by-step explanation:

Since the line is linear, the y increases 7 every time x increases 1

Add 7 to 32 and it equals 39

Answer:

give me the question dude......

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

6x - 5 = 6x + 5
6x = 6x + 10
0 = 10

0 cannot be equal to 10 at anytime, so this equation has no solution

Answer: No solution.

Step-by-step explanation:

  Given:

6x - 5 = 6x + 5

  Add 5 to both sides of the equation:

6x = 6x + 10

  Subtract 6x from both sides of the equation

0 ≠ 10

  Since 0 does not equal 10, there is no solution to this equation.

Answer:

The distance would be 13m.

Answer:

13 m

Step-by-step explanation:

this can be looked at like a triangle sorry for the bad drawing I’m in the car lol

But we know the base is 12m and the height of this triangle is 5 since the secon pole is 5m taller hence 14-9=5

So we use the Pythagorean theorem

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

169=c^2

Now find the square root of 169 to get the answer

13 m is the distance between the tops

Hopes this helps please mark brainliest

Solution to the fraction  (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9) = -38

Fractions are expressed in mathematics as a number value that defines a part of a whole or group of objects

To simplify the fraction into a simple form the following steps are followed;

Evaluate (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)

(-7 + 3) x 9 + ⅖ x (-1.1 - 3.9)

Add the numbers

(-4) x 9 + ⅖ x (-1.1 - 3.9)

Evaluate the exponent

(-4) x 9 + ⅖ x (-5)

Multiply the number

-36 + ⅖ x (-5)

-36 -10/5

Subtract the number from each other

-36 -10/5

=-36-2

Answer = -38

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The length of triangle AB is 22.5.

Triangle A = 7.5

Triangle B = 15

Whole = 22.5

As per the given question

Figure is made of 2 triangles.

Triangle A

Triangle B

9

7

As it is 2 triangles so

So A = 7.5

      B = 15

The whole is = 15 + 7.5

                             =22.5

Each part is 7.5 and 15 respectively and whole is 22.5 per square unit.

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Graph for the modulus function is as follows.

What is modulus function?

A modulus function is a function that determines a number or variable's absolute value.

Main body:

Given that,

Which graph represents the function f(x) = 4⌈x⌉?

Now,

to represent the graph of Y =  IxI-4 .

So,

Taking x = 0, we get

Y =  IxI -4

Y =  I0I -4

Y = -4

Taking x = 1, we get

Y =  IxI - 4

Y =  I1I -4

Y = -3

Taking x = 2, we get

Y =  IxI - 4

Y =  I2I - 4

Y = -2.

Taking x = -1, we get

Y =  IxI - 4

Y =  I-1I - 4

Y = 1 -4

Y = -3

Taking x = -2, we get

Y =  IxI - 4

Y =  I-2I - 4

Y = -2

Hence the graph for the function is as follows.

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Answer: 81.25

Step-by-step explanation:

Answer:

Armando lost 65 coins each level.

Step-by-step explanation:

Given information,

→ Armando lost 975 coins playing his favorite video game.

→ He lost the same number of coins in each of the 15 levels he played.

Forming the equation,

→ 15x = 975

Now required value of x will be,

→ 15x = 975

→ x = 975/15

→ [ x = 65 ]

Hence, he lost 65 coins each level.

Total Water Used by a standard flush in a week i.e. 7 days is 22.4 gallons.

What is Multiplication?

In mathematics, multiplying implies adding equal groups. The number of items in the group grows as we multiply.

Solution:

Given that,

The standard toilet uses 1.6 gallons of water per flush

Also, it is flushed twice a day

To Find, Total water used in a week i.e. 7 days

Since, flush uses 1.6 gallons water per flush

Total water used in a day is 2*1.6 = 3.2 gallons

This implies,

Total water used in 7 days = 7 * 3.2 = 22.4 gallons

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Answer:

Infinite solutions

Step-by-step explanation:

The equation is,

→ 8x + 16x - 12 = 24x - 12

Let's solve for the value of x,

→ 8x + 16x - 12 = 24x - 12

→ 24x - 24x = -12 + 12

→ [ 0 = 0 ]

Hence, it has infinite solution. Because, all the real numbers are suitable.

Answer:

infinite number.

Step-by-step explanation:

Comment

There is only the same letter (x) on both sides of the equation. None of the xs are raised to any power. The power is 1 for all of them. That being so, there is only ONE solution.

x^2 + 5x + 6 would give 2 solutions because the x is raised to the second power.

x^3 + x^2 + 4x + 9 would give 3 solutions.

Solution

8x + 16x - 12 = 24x - 12 This equation is a little different. Both sides are exactly the same -- 24x - 12. That means that there is an infinite number of solutions.

For example let x = 10

The right side = 240 - 12 = 228

The left side = 8*10 + 16*10 - 12 = 228

You can't come up with a number that will make the left side unequal to the right side.

Answer: 19.2, 1.7, 15.93, 0.0512

Step-by-step explanation:

We can multiply these straight across but the trick with decimals is that your answer needs to have the same decimal place distance as what you are multiplying. In the first question, we go one decimal place. In the second, we go two decimal places. In the fourth, we go four decimal places.

Answer:

The last number is 4

Step-by-step explanation:

Answer:

y = 2x + 2

Step-by-step explanation:

(y-y1)/(y2-y1)=(x-x1)/(x2-x1)

(y-6)/(-6-6)= (x-2)/(-4-2)

(y-6)/-12 = (x-2)/-6

y-6 = 2x-4

y = 2x -4 + 6

y = 2x + 2

Answer:

Gerald received the higher rate of increase

Step-by-step explanation:

Answer:

2:52

Step-by-step explanation:

Multiply by 2

An input value that would produce the same output value for the first functions on the graph is 0. Also, an input value that would produce the same output value for the second functions on the graph is 3.

In this exercise, you are required to determine the input value that would produce the same output value for the two functions on the graph. This ultimately implies that, the two functions would be equated as shown below.

From the information provided above, the two functions include the following:

f(x) = -2/3(x + 1)

g(x) = 1/3(x - 2)

Equating the two equations, we have:

f(x) = g(x)

-2/3(x + 1) = 1/3(x - 2)

-2x/3 -2/3 = x/3 - 2/3

-2x/3 - x/3 = - 2/3 + 2/3

x = 0.

For the second function on the graph, the coordinates are as follows:

f(x) = (-3, 3), (0, 1), (3, -1)

g(x) = (-3, -3), (0, -2), (3, -1)

Therefore, the above function produces the same input value (x) at point 3.

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Answer:

D

Step-by-step explanation:

edge 23

Answer: 5n - 4

Step-by-step explanation:    

n is the number, 5 times the number is 5n.  4 less means subtract 4.  So the correct expression is 5n - 4

The segment XY is a tangent to circle Z.

What is tangent to a circle?

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.

To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.

If the triangle XYZ is a right triangle, then we have

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

 12.96 +7.29 = 20.25            it's true.

Therefore, the segment XY is a tangent to circle Z.

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The cost function for the Acme Corporation is -0.2x² + 100x - 300. a cost function, transfers an event or the values of one or more variables onto a real number that signifies the event's "cost" in real terms.

A loss function, also known as a cost function, is a function used in mathematical optimization and decision theory that transfers an event or the values of one or more variables onto a real number that intuitively represents some "cost" connected to the occurrence. A loss function is the goal of an optimization problem.

The event in question is some function of the difference between the estimated and true values for a particular instance of data, and in statistics, parameter estimation is typically done using a loss function.

Given that the profit function is

p(x) = 0.5x^2 + 250x+300

also given that the revenue is given as

r(x) = 0.3x^2 + 150x

we know that profit= revenue - cost

hence cost = revenue-profit

cost = r(x) -p(x)

cost=  0.3x^2 + 150x-(0.5x^2 + 250x+300)

cost=  0.3x^2 + 150x-0.5x^2 - 250x-300

collect like terms

cost=0.3x^2-0.5^2+150x-250x-300

The cost function for the Acme Corporation = -0.2x^2-100x-300

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Answer:

see explanation

Step-by-step explanation:

(a)

perimeter (P) is calculated as

P = 2(l + b) ← l is the length and b the breadth

given l = x and P = 20 , then

2(x + b) = 20 ( divide both sides by 2 )

x + b = 10 ( subtract x from both sides )

b = 10 - x

Using Pythagoras' identity in the right triangle

x² + (10 - x)² = 8²

x² + 100 - 20x + x² = 64 ( subtract 64 from both sides )

2x² - 20x + 36 = 0 ( divide through by 2 )

x² - 10x + 18 = 0 ← as required

(b)

solve using the method of completing the square

x² - 10x + 18 = 0 ( subtract 18 from both sides )

x² - 10x = - 18

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 18 + 25

(x - 5)² = 7 ( take square root of both sides )

x - 5 = ± [tex]\sqrt{7}[/tex] ( add 5 to both sides )

x = 5 ± [tex]\sqrt{7}[/tex]

Then

x = 5 - [tex]\sqrt{7}[/tex] ≈ 2.35 ( to 3 significant figures )

x = 5 + [tex]\sqrt{7}[/tex] ≈ 7.65 ( to 3 significant figures )