-33=3(x-9)
Solve for x

Answer:

2

Step-by-step explanation:

log_4 (16) is a tiny math problem. It is asking 4^? = 16

See, a log is an exponent. So what power of 4 makes 16? Well, 4^2 = 16. So that means that the log_4(16) = 2

Answer:

\(- 2m^4 - 6m^2 + 4m + 9\)

Step-by-step explanation:

Given

\(4m - 2m^4 - 6m^2 + 9\)

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

\(- 2m^4 - 6m^2 + 4m + 9\)

Answer:

D

Step-by-step explanation:

Answer:

The answer you are looking for is 2/5

Answer:

36 i think

Step-by-step explanation:

Answer:

The answer of how many cars is 23

The 100th term of the sequence is 1.57 × 10^29

The nth term of an arithmetic progression is expressed using the formula:

Tn = \(ar^{n-1}\)

Given the sequence:

10, 5...

a = 10

r = 5/10 = 1/2

Since we need the 100th term, n = 100

Substitute the given parameter into the formula:

\(T_{100} = 10(1/2)^{100-1}\\T_{100}= 10*0.5^{99}\\T_{100}=10 \times 1.57\times 10^{-30}\\T_{100} = 1.57\times 10^{29}\)

Hence the 100th term of the sequence is 1.57 × 10^29

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Answer:

See below

Step-by-step explanation:

x² + 8x + 15 = 0

x² + 5x + 3x + 15 = 0

x x (x + 5) + 3x + 15 = 0

xx (x + 5) +3 (x + 5) = 0

(x + 5) × (x + 3) = 0 → x + 5 = 0       x + 3 = 0

x = -5

x + 3 = 0

x = -5

x = -3

x1 = -5

x2 = -3

Hope this helped ! :)

Using proportions, it is found that Diego traveled 15 miles in the cross-town cab ride.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for the miles traveled, Diego paid 18.50 - 2.25 = $16.25. Considering the fee of $1.25 per mile, the distance he traveled is given by:

d = 16.25/1.25 = 15.

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There are 1089 in² in a square 11 yards on a side.

A square which is 11 yards on a side is 11 x 11 = 121 square yards. To convert square yards to square inches, multiply by the conversion factor of 9 square inches per square yard: 121 square yards x 9 square inches/square yard = 1089 square inches.

The area of a square is given by: A = l

Where,

Multiplication refers to binary operations in which different numerical sets are established. In mathematics the process of multiplication is elementary in several operations, it is also accompanied by addition, subtraction and division. Multiplication is the opposite of division.

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Answer:

GOODLUCK!!!

Step-by-step explanation:

wishing u the best of luck girly! :))))

i solveeach systemof equation s below for practice. roll

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x/15=1

Shape ABC can be transformed into shape EFGDCHFGBE through a combination of translations, rotations, and reflections, which means that the two shapes are congruent.

To prove that shape ABC is congruent to shape EFGDCHFGBE, we can use rigid transformations to show that one shape can be transformed into the other.

First, we can see that shape ABC can be translated horizontally to the right by the distance between point A and point E to obtain shape EBC. Similarly, we can translate shape EFGDCHFGB horizontally to the left by the same distance to obtain FGDCHFGBE.

Next, we can rotate shape EBC 90 degrees counterclockwise about point B to obtain shape E'BC'. We can also rotate shape FGDCHFGBE 90 degrees counterclockwise about point G to obtain F'GDCHF'GBE.

Finally, we can reflect shape E'BC' across the y-axis to obtain shape EFGDCHFGBE.

Therefore, we have shown that shape ABC can be transformed into shape EFGDCHFGBE through a combination of translations, rotations, and reflections, which means that the two shapes are congruent.

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To solve this question we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's simplify the exponents:

- Three raised to the fifth power (3^5) means multiplying three by itself five times: 3^5 = 3 * 3 * 3 * 3 * 3 = 243.
- Three raised to the square (3^2) means multiplying three by itself once: 3^2 = 3 * 3 = 9.
- Three raised to the cube (3^3) means multiplying three by itself twice: 3^3 = 3 * 3 * 3 = 27.

Next, let's simplify the expression:

- We divide 243 (from 3^5) by 9 (from 3^2), which gives us 243 ÷ 9 = 27.
- Then, we divide 27 by 27 (from 3^3), which gives us 27 ÷ 27 = 1.

Therefore, the value of the expression is 1

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Answer:

162

Step-by-step explanation:

6*7= 42. 42*2 = 84.

6*3=18. 18*2 = 36

7*3=21. 21*2 = 42.

84+36+42= 162

Answer:

- 2x  > -20

x  > 10

Step-by-step explanation:

Given:

2- 2x > -20

Find:

Value of inequality

Computation:

2- 2x > -20

Subtract 2 both side

- 2x  > -20

Divide -2 both side

x  > 10

The numeric value of the expression 4x² when x = 3 is of 36.

The numeric value of an expression is found replacing each instance of the letter by it's attributed value.

For this problem, the expression is given by:

4x².

We want to find the numeric value when x = 3, hence:

4(3)² = 4 x 9 = 36.

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Answer:

So adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a+3c=61

2a=61-3c

a=30.5-1.5c

...

3a+5c=96, using a found above we get:

3(30.5-1.5c)+5c=96

91.5-4.5c+5c=96

91.5+0.5c=96

0.5c=4.5

c=9, and since a=30.5-1.5c

a=17

So adult tickets cost £17.00 and child tickets cost £9.00

Answer:

The adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a + 3c = 61

2a = 61 - 3c

a = 30.5 - 1.5c

3(30.5 - 1.5c) + 5c = 96

91.5 - 4.5c + 5c = 96

91.5 + 0.5c = 96

0.5c = 4.5

c = 9

a = 30.5 - 1.5c

a = 17

The adult tickets cost £17.00 and child tickets cost £9.00

3/4 = 0.75

0.75 * 200 = 150

The simplified form of the given expression is 150.

Given that, 3/4 ×200.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

Here, 3/7 =0.75

So, 0.75 ×200

= 150

Hence, the simplified form of the given expression is 150.

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Answer:

Step-by-step explanation:

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Answer:

Step-by-step explanation:

2x+20=12x

We can subtract 2x from both sides:

2x+20-2x=12x-2x

20=10x

20/10=x

x=2

The three consecutive integers are 21, 22, and 23 respectively.

Given that the sum of the squares of three consecutive integers is 1454.

We need to find out what the numbers are.

Let's assume the first integer as x, then the next two consecutive integers can be represented as x + 1 and x + 2 respectively.

Hence we can write the given statement as

x² + (x + 1)² + (x + 2)² = 1454

We can expand the terms of the equation and then simplify it to find the value of x.

After getting the value of x, we can find the next two consecutive integers by adding 1 and 2 to it.

Let's solve the above equation:

x² + (x + 1)² + (x + 2)² = 1454

⇒ x² + x² + 2x + 1 + x² + 4x + 4 = 1454

⇒ 3x² + 6x - 1449 = 0

⇒ x² + 2x - 483 = 0

By solving the above quadratic equation, we can get the value of x as follows:

x = (-2 + √(2² + 4×1×483))/2×1

(We ignore the negative value of x here)

⇒ x = (-2 + 44)/2

⇒ x = 21

Hence the three consecutive integers are 21, 22, and 23 respectively.

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The expression that represents the perimeter of the given triangle is; (10x + 7y + 6) cm

The perimeter of a triangle is defined as the distance around the triangle given.

Now, the triangle has three sides and we are given the dimensions of the side lengths as;

8x + 10

2x + 5

7y - 9

Thus, the perimeter will be the sum of these 3 side lengths. Thus;

Perimeter = 8x + 10 + 2x + 5 + 7y - 9

Perimeter = (8x + 2x) + 7y + (10 + 5 - 9)

Perimeter = (10x + 7y + 6) cm

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An essay on the real - life application of lines would include different fields where lines are used in real life.

Line drawings are used in the design and construction of buildings and infrastructure to represent their structure and layout.  Lines are a fundamental element in graphic design, used to create contrast, texture, and visual interest in illustrations, logos, and other design elements.

Line drawings are used in medical illustrations to represent anatomy and in graphs to represent medical data and trends. Line production and assembly lines are used in the production of goods in many industries such as automotive, electronics, and food processing.

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To find an explicit formula for the nth term of the sequence satisfying\(\(a_1 = 0\) and \(a_n = 2a_{n-1} + 1\) for \(n \geq 2\),\)  we can use recursive formula to generate the terms of the sequence.

Given:

\(\(a_1 = 0\)\\\(a_n = 2a_{n-1} + 1\) for \(n \geq 2\)\)

Using the recursive formula, we can generate the terms of the sequence as follows:

\(\(a_2 = 2a_1 + 1 = 2(0) + 1 = 1\)\\\(a_3 = 2a_2 + 1 = 2(1) + 1 = 3\)\)

\(\(a_4 = 2a_3 + 1 = 2(3) + 1 = 7\)\\\(a_5 = 2a_4 + 1 = 2(7) + 1 = 15\)\)

From the pattern, we observe that the nth term of the sequence is given by \(\(2^{n-2} - 1\).\)

Therefore, the explicit formula for the nth term of the sequence satisfying \(\(a_1 = 0\) and \(a_n = 2a_{n-1} + 1\) for \(n \geq 2\) is: \\\\\a_n = 2^{n-2} - 1.\]\)

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The investment compounded periodically will be worth approximately $15,046.66, which is $(15,046.66 - 14,893.22) ≈ $153.44.

To compare the investment compounded periodically to the investment compounded annually, we need to calculate the future value of both investments after 13 years.

Investment compounded annually:

Principal (P) = $6,000

Annual interest rate (r) = 8% or 0.08

Number of years (t) = 13

Using the compound interest formula, the future value (FV) of the investment compounded annually can be calculated as:

FV_annually = P * (1 + r)^t

FV_annually = 6000 * (1 + 0.08)^13

FV_annually ≈ $14,893.22

Now let's calculate the future value of the investment compounded periodically. Since the interest is compounded 4 times a year, we need to adjust the interest rate and the number of periods.

Interest rate per period (i) = r / n, where n is the number of interest periods per year.

Number of periods (nt) = t * n

In this case, n = 4 and t = 13, so:

i = 0.08 / 4 = 0.02

nt = 13 * 4 = 52

Using the compound interest formula for periodic compounding, the future value (FV) of the investment compounded periodically can be calculated as:

FV_periodically = P * (1 + i)^nt

FV_periodically = 6000 * (1 + 0.02)^52

FV_periodically ≈ $15,046.66

Therefore, after 13 years, the investment compounded periodically will be worth approximately $15,046.66, which is $(15,046.66 - 14,893.22) ≈ $153.44 more than the investment compounded annually.

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Take into account:

x = speed of the airplane

y = speed of the air

consider that the product in between time and speed is equal to the distance traveled in the time.

Then, if the airplane took 3 hours complete 600 miles, agaist the wind, you have that the distance traveled by the airplane is 3x without wind. The speed of the wind decelerates the airplane. The "distance traveled by the wind is 3y"

Then, when you subtract the previous terms you obtain:

3x - 3y = 600 factorize 3 left side

3(x - y) = 600

Answer:

-1 + \(\frac{x}{7}\)

Step-by-step explanation:

( 2/7x-6 ) - ( 1/7x - 5 )

First you should combine 2/7 and x, and 1/7 and x. You do this by "bringing the x up". This is how the expression looks now: (2x/7 - 6) - (x/7 - 5). Notice: when you have 1x you can just remove the 1 since it is implied. The next step is to apply the distributive property. The number we are distributing is -1 to (x/7 - 5). This is how the expression now looks like: (2x/7 - 6) - x/7 + 5. Notice: since 5 was already negative, when we multiplied it by a negative, it became positive. Now we can remove the parenthesis since they are no longer necessary: 2x/7 - 6 - x/7 + 5. The next step is to combine the fractions since they have the same denominator. This is how the expression will look like now: -6 + 5 + \(\frac{2x - x}{7}\). Now we should subtract x from 2x (remember x really just means 1x). This is what we have so far: -6 + 5 + x/7. Lastly, we should add 5 to -6. This is how the finished expression should look like: -1 + x/7.

Hope this was clear!