Use the appropriate change of base formula to convert the given expression to an expression with the indicated base. Round your answer to the nearest ten thousandth if necessary. log 73 base 35

Answer:

80°, 40° and 60°

Step-by-step explanation:

Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)

so we will have an equation of

180°=2x + x + (20°+x)

160°=4x

40°=x

so the second angle is 40° as it is represented by just one X

therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!

Answer:

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:

C = π(14 cm)

Multiplying, we get:

C = 14π cm

So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.

Answer:

To determine which cream cheese is a better buy, we need to compare the price per unit of volume for each brand.

For Brand Y cream cheese:

Price per unit = 44 AED / 220 ml = 0.2 AED/ml

For Brand Z cream cheese:

Price per unit = 100 AED / 470 ml = 0.2127 AED/ml

Since the price per unit of volume for Brand Y cream cheese is 0.2 AED/ml and the price per unit of volume for Brand Z cream cheese is 0.2127 AED/ml, Brand Y cream cheese is cheaper per unit of volume. Therefore, Brand Y cream cheese is a better buy.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

Answer: 1/343

Step-by-step explanation:

To multiply fractions, combine the numerators and denominators and simplify as shown below.

1/7 x 1/7 x 1/7 can be rewritten as:

(1x1x1)/(7x7x7)

Simplifying the numerator and denominator in the new equation, the result is 1/343.

Thus, 1/7 x 1/7 x 1/7 = 1/343.

I hope this helps!

Answer:

48

Step-by-step explanation:

Answer:  48

Step-by-step explanation:

Answer:

y=0.5x-4.5

Step-by-step explanation:

y=mx+b

Use the information provided to find b

0=0.5(4)+b

-2=b

Therefore, the equation goes down to...

y= 0.5x-2

Step-by-step explanation:

using the formula

m = y -y1/ x - x1

0.5 = y -0/x-4 (0.5 = 1/2)

1/2 = y/x -4

2y = x -4

divide both sides by 2

y = 1/2 ( x -4)

y = 1/2x - 2

y -1/2x = -2

Answer:

You must turn the variables, or the "x" into a number to make the numbers on the left equal the numbers on the right.

Step-by-step explanation:

In order to solve these problems, you must replace the variable with a number to have the equation on the left equal what is on the right.

Equation 1:

x - 4y = -12 <----- This is the original problem.

-8 - 4y = -12 <----- Replace the variable.

-12y = -12 <----- This is a true statement.

Equation 2:

  5x=20y+60 <----- This is the original problem.

5(16) =20y+60 <----- Replace the variable/Do the addition.

80 = 80y <------ This is a true statement.

Hope this helps! :D

Answer:

Twelve and one fourth feet

Step-by-step explanation:

9 and 3/4 feet =9.75

2 and 2/4 feet =2.50

9.75 + 2.50

= 12.25/12 and 1/4 feet

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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The probability that the spinner lands on yellow and the coin toss is heads is 9/20.

To find the probability that the spinner lands on yellow and the coin toss is heads, we need to determine the probability of each event and then multiply them together.

The probability of the spinner landing on yellow is given by the number of yellow sections (18) divided by the total number of sections (20). Therefore, the probability of the spinner landing on yellow is 18/20 or 9/10.

The probability of the coin toss resulting in heads is 1/2 since there are two equally likely outcomes, heads and tails.

To find the probability of both events occurring together, we multiply the individual probabilities:

Probability (Spinner lands on yellow and Coin toss is heads) = Probability (Spinner lands on yellow) * Probability (Coin toss is heads)

= (9/10) * (1/2)

= 9/20

Therefore, nine out of twenty times, the spinner will fall on yellow and the coin will come up heads.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

dont do anything if im wrong but i thinks its 50 plants

Step-by-step explanation:

The 10th term of the geometric sequence is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

Using the mth term as the reference, we have that:

\(a_n = a_mq^{n-m}\)

Hence:

\(a_5 = a_3q^2\)

\(q = \sqrt{\frac{a_5}{a_3}}\)

And then the 10th term is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

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Answer:

The answer is f^-1(x)=0^3\(\sqrt{x}\)+2

Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation

Answer:

7 1/12

Step-by-step explanation:

i took the test 1.13 Quiz: Distance on a Number Line

The length of points joining points 234 and -413 will be 647 in the number line.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

The point -413 will mark 413 distance from 0

So,

Distance from -413 to 234 = Distance from -413 to 0 + 0 to 234

Distance from -413 to 234 = 413 + 234 = 647

Hence "The length of points joining points 234 and -413 will be 647 in the number line".

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Answer:

his is the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends ... You know all those Halloween recipes you've been saving on Pinterest for years now? ... Halloween and Samhain product brands as you can all year long.

Step-by-step explanation:

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

Answer:

Graph D

Step-by-step explanation:

Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.

The graph D shows the point R(0, 4).

Given are four graphs we need to determine which graph shows the point R(0, 4),

A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.

The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.

Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.

Hence the graph D shows the point R(0, 4).

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Answer:

2.33333333333

Step-by-step explanation:

7/9 divided by 1/3 = 2.33333333333

Answer:

2 1/3

Step-by-step explanation:

When dividing fractions, you need to convert the problem to multiplication by taking the reciprocal of the second fraction. 7/9 divided by 1/3 therefore becomes 7/9 * 3. 7 * 3 = 21 and this value is over 9, so you currently have 21/9, but wait: we can simplify this.

21/9 can be simplified to 7/3, which can be simplified further to 2 1/3.

Answer:

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

hyp² = opp² + adj²

Let the opposite be the 9cm length

Adjacent will be half of the chord length = 15/2 = 7.5cm

Substituting this values into the formula we will have;

hyp² = 9² + 7.5²

hyp² = 81+56.25

hyp² = 137.25

hyp² = √137.25

hyp = 11.72

Hence the radius of the circle is approximately 11.72 cm long

Step-by-step explanation:

12/7 is equal to 14/8 is equal to ab/cd

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer:Let 2n + 4 = the third consecutive even number. Therefore, the three consecutive even numbers whose sum is 96 are indeed 30, 32, and 34.

Step-by-step explanation:

Answer:

The first consecutive integer = - 33

The second consecutive integer = - 32

The third consecutive integer = - 31

Step-by-step explanation:

So since the three numbers are consecutive we can make the following equation. If we let "n: be the value of the first consecutive integer, the value of the second consecutive integer would be "n + 1" and the value of the third one would be "n + 2". So the equation we can write is...

n + (n + 1) + (n + 2) = - 96

3n + 3 = - 96

3n = - 99

n = - 33

Therefor:

The first consecutive integer = n = - 33

The second consecutive integer = n + 1 = - 33 + 1 = - 32

The third consecutive integer = n + 2 = - 33 + 2 = - 31

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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The transformation of g(x) to h(x) is (c) The graph of h is the graph of g vertically shifted down 5 units.

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

The functions g(x) and h(x)

In the graph, we can see that

g(x) =x² is transformed to obtain function  h(x) = g(x) - 5.

So, we have

Vertical Difference = 0 - 5

Evaluate

Vertical Difference = -5

This means that the transformation of g(x) to h(x) is g(x) is shifted down 5 unit to h(x).

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If you're asking about the difference quotient alone, you have

f (x) = x ² - 2x

which means

f (x + h) = (x + h)² - 2 (x + h)

so that

(f (x + h) - f (x)) / h = (((x + h)² - 2 (x + h)) - (x ² - 2x)) / h

… = (x ² + 2xh + h ² - 2x - 2h - x ² + 2x) / h

… = (2xh + h ² - 2h) / h

*and you would stop here*.

On the other hand, if you're talking about the derivative (which I believe you are, since your question says f '), take the limit as h approaches 0. In particular, this means h ≠ 0, so there is some cancellation:

(f (x + h) - f (x)) / h = (2xh + h ² - 2h) / h

… = 2x + h - 2

Then as h approaches 0, you're left with

f ' (x) = 2x - 2