What is the base 10 representation of the number 1203,?
OA) 128
OB) 178
OC) 324
OD) 476

Answer:

B

Step-by-step explanation:

The solution of the equation are,

⇒ 5x = 10²

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The expression is,

⇒ log 5x³ - log x² = 2

Now, We can simplify by the definition of logarithmic we get;

⇒ log (5x³ / x²) = 2

⇒ log (5x) = 2

⇒ 5x = 10²

Thus, The solution of the equation are,

⇒ 5x = 10²

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Answer:

D 18

Step-by-step explanation:

3z + 6

Let z=4

3*4 +6

Multiply first

12+6

Then add

18

Known :

z = 4

Asked :

3z + 6 = ...?

Answer :

3z + 6

= 3(4) + 6

= 12 + 6

= 18

So, the value of 3z + 6 is 18 (D)

Hope it helpful and useful :)

Answer: there were 195,742 total views after 23 days

Step-by-step explanation:

Answer:

(A)3,500 + 0.06x > 4,000 + 0.04x

Step-by-step explanation:

Jose's Earnings

Monthly Salary = $3,500

6% commission on his sales, x =0.06x

Total = 3500+0.06x

Maris' Earnings

Monthly Salary = $4,000

4% commission on her sales, x =0.04x

Total = 4000+0.04x

If Jose's earnings be greater than Maris' earnings, then:

3500+0.06x > 4000+0.04x

Answer: negative infinity to positive infinity.

Step-by-step explanation:

Answer:

The domain of the function is negative infinity

to positive infinity because an exponent can be any real number.

Next, The range of the function is zero

to positive infinity because 4x is always positive.

Step-by-step explanation:

Edge test

Answer:

10% probability that each sample of size 3 is selected

Step-by-step explanation:

Each sample has the same probability of being selected.

There are 10 samples.

This means that the probability of each sample being selected is:

1/10 = 0.1

10% probability that each sample of size 3 is selected

The probability of each possible sample that can be drawn from a finite population of size N can be calculated using the hypergeometric distribution.

The formula for calculating the probability of getting k successes (in this case, a successful sample of size 3) in a sample of size n, drawn without replacement from a population of size N, is:

P(k) = (C(k, K) * C(n - k, N - K)) / C(n, N)

where C(k, K) is the number of ways to choose k items from a set of K items, and C(n - k, N - K) is the number of ways to choose n - k items from a set of N - K items.

For part (a), N = 4, n = 3, and K = 3. Therefore, there is only one possible successful sample of size 3, and the probability of getting that sample is:

P(3) = (C(3, 3) * C(0, 1)) / C(3, 4) = 1/4

For part (b), N = 6, n = 3, and K = 3. Therefore, there is only one possible successful sample of size 3, and the probability of getting that sample is:

P(3) = (C(3, 3) * C(0, 3)) / C(3, 6) = 1/20

For part (c), N = 12, n = 3, and K = 3. Therefore, there are C(3, 12) = 220 possible successful samples of size 3, and the probability of getting any one of them is:

P(3) = (C(3, 3) * C(0, 9)) / C(3, 12) = 1/220

For part (d), N = 18, n = 3, and K = 3. Therefore, there are C(3, 18) = 816 possible successful samples of size 3, and the probability of getting any one of them is:

P(3) = (C(3, 3) * C(0, 15)) / C(3, 18) = 1/816

Therefore, the probabilities of each possible sample of size 3 that can be drawn from the given populations are:

(a) 1/4

(b) 1/20

(c) 1/220

(d) 1/816

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A sequence [tex]\{a_n\}[/tex] is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the [tex]n[/tex]th term, [tex]a_n[/tex], in terms of the previous, [tex](n-1)[/tex]th term, [tex]a_{n-1}[/tex]:

[tex]a_n=a_{n-1}+3[/tex]

By this definition, we can just as easily write the [tex](n-1)[/tex]th term in terms of the [tex](n-2)[/tex]th term:

[tex]a_{n-1}=a_{n-2}+3[/tex]

Then, substituting this into the previous equation, we have

[tex]a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3[/tex]

We can continue this process to write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:

[tex]a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3[/tex]

[tex]a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3[/tex]

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to [tex]n[/tex].) The pattern continues down to

[tex]a_n=a_1+(n-1)\cdot3[/tex]

The first term in this sequence is [tex]a_1=45[/tex], so we have

a. [tex]a_n=45+3(n-1)=42+3n[/tex]

where [tex]n=1,2,3,\ldots[/tex].

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, 57, 60, 63, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

[tex]a_{15}=42+3\cdot15=87[/tex]

Answer:

C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases

Step-by-step explanation:

Many people visit parks in the summer, which is when the flowers are supposed to bloom/blossom.

hi

Seven Balls , one of each color.  Then 1/7 possibility to choose purple

Answer:

A: 6

B: 9

Step-by-step explanation:

All you do is multiply 1.5 times 4. To get A

And for B you just multiply 1.5 times 6

Answer:

1 Litre

Step-by-step explanation:

Convert to similar units. 1.2L = 1,200 ml

1200 - 200 = 1000 or 1L

1 litre of water is left in his water bottle

Answer: 4/3

Step-by-step explanation:

The method of SOH CAH TOA helps tremendously in this equation.

TOA is the one necessary for this problem as it means tangent = opposite side/adjacent side.

Opposite side = 4

Adjacent side = 3

Opposite side/adjacent side = 4/3

Answer:

suee has 18-x-5

tony has 18+x-((18+x)/2)

Step-by-step explanation:

Can i get brainliest plz

Answer:

s(18 - x)-5 t(18x/2) is initial

they now have;

t( 9x) s(13-x)

Step-by-step explanation:

Answer:

the last one is linear

the throwing a baseball in the air is quadratic

half life of a pesticide is exponential

thats all i know

Step-by-step explanation:

Answer:

0.00037037037 m3 / kg

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12 divided by 4 is 3, 3 times 3 is 9 bam

Answer:

36

Step-by-step explanation:

12 = 2 * 2 * 3 = 2^2 * 3

4 = 2 * 2 = 2^2

9 = 3 * 3 = 3^2

For the least common multiple, use common and not common factors with the largest exponent.

Use 2^2 and 3^2

LCM = 2^2 * 3^2 = 4 * 9 = 36

Answer:D.27

They already won 12 games (80% of 15%) and need or win 15 more.

Check: 15+12 =27 =90%

30 30

Answer:

C

Step-by-step explanation:

First, find out how many games they won:

x/15 = 80/100

Cross multiply

x × 100 = 15 × 80

100x = 1200

x = 12

They won 12 out of 15 games

Second, find out how many wins out of 30 games are needed to have a 90% winning percentage

x/30 = 90/100

Cross multiply

x × 100 = 30 × 90

100x = 2700

x = 27

27 game wins are needed to have a 90% winning percentage

Lastly, find the difference between 27 wins (total needed) and 12 wins (total number of wins they currently have)

27 - 12 = 15

They need to win 15 more games to have a 90% winning percentage

Answer:

C

Step-by-step explanation:

Using the formula for the area of a circle (A = πr²), with a radius of 15 mm and π approximated as 3.14, the area of the compass is found to be 706.5 mm². Option C is the correct answer.

To find the area of the compass, which is circle-shaped, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius. Given the radius of the compass is 15 millimeters, we substitute 15 mm for r in the formula:

A = π(15 mm)²

A = 3.14(225 mm²)

A = 706.5 mm²

Therefore, the approximate area of the compass is 706.5 mm², which corresponds to option C.

Answer:

540°

Step-by-step explanation:

To find the volume of air in a beach ball with a 12-inch diameter, one must calculate the volume of a sphere using the formula V = 4/3 π r^3, with the radius being half the diameter, resulting in approximately 904.78 cubic inches.

The question you're asking pertains to the calculation of the volume of a sphere, as the beach ball is essentially a spherical object. When you have a diameter, the radius (which is half of the diameter) is necessary for the volume calculation. The formula for the volume of a sphere is given by V = 4/3 π r^3, where V is the volume, π (pi) is approximately 3.14159, and r is the radius of the sphere.

First, we convert the diameter into the radius by dividing by 2: 12 inches / 2 = 6 inches. Then, we use the formula to calculate the volume: V = 4/3 π • (6 inches)^3.

Therefore, the volume is: V = 4/3 π • 216 inches^3. After calculating this, we find that the volume of air inside the beach ball is approximately 904.78 cubic inches, assuming no other factors are affecting the volume, such as the thickness of the ball's material.

Answer:

step 1

Step-by-step explanation:

Alanna divided one side of the equation by 4 but multiplied the other side by 444. Alanna should have divided both sides of the equation by 4 to isolate c.

Alanna's mistake was dividing the equation by 12.4 instead of dividing both sides by 4.

Alanna made a mistake in the second step of solving the equation. The correct step should be as follows:

Step 1: 4c = 12

Step 2: Divide both sides by 4, not 4.4: (4c) / 4 = 12 / 4

Step 3: c = 3

So, the correct solution is c = 3, not c = 48 as Alanna calculated.

Alanna's mistake in solving the equation 4c = 12 occurred during the second step of the process. When attempting to isolate the variable "c," she divided both sides of the equation by 4, but her error lies in the value she used for this division. Instead of correctly dividing by 4, she mistakenly divided by 4.4.

The correct approach in this situation is to perform the same mathematical operation on both sides of the equation to maintain its balance. Dividing both sides by 4 allows us to isolate "c" and find its value. When we divide 12 by 4, we get 3, which is the correct solution to the equation.

In contrast, Alanna's incorrect division by 4.4 led her to the erroneous result of c = 48. This error likely arose from a simple calculation mistake. It's crucial to pay attention to each step of solving equations to avoid such errors, as they can significantly affect the final solution and lead to incorrect conclusions.

In summary, Alanna's mistake was dividing both sides of the equation by 4.4 instead of 4, resulting in the incorrect solution c = 48, when the correct solution is c = 3.

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Step-by-step explanation:

Step 1:  Find the correct answer

The more plants tested, the better average that you will have.  Therefore, since Brenden tested 24 plants, which is the most, his data is the most representative of average plant growth.

Answer:  Option B, Brenden

Answer:

Brenden

Step-by-step explanation:

Larger the sample size, better representative it is of the population

Answer:

286 in³

Step-by-step explanation:

7×5 = 35

35×2 = 70in

9×5 = 45

45×2 = 90in

9×7 = 63

63×2 = 126in

70+90+126

=286in³

How did it get on the roof?

Answer:

The answer is A. 14.8 feet.

Explanation:

We can use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the ladder represents the hypotenuse, and the distance from the building and the height reached by the ladder represent the other two sides.

Let's denote:

- [tex]\( a \)[/tex] as the distance from the building to the base of the ladder (6 feet)

- [tex]\( b \)[/tex] as the height reached by the ladder up the building (what we need to find)

- [tex]\( c \)[/tex] as the length of the ladder (16 feet)

According to the Pythagorean theorem, we have:

[tex]\[ a^2 + b^2 = c^2 \][/tex]

Substituting the given values:

[tex]\[ 6^2 + b^2 = 16^2 \][/tex]

[tex]\[ 36 + b^2 = 256 \][/tex]

[tex]\[ b^2 = 256 - 36 \][/tex]

[tex]\[ b^2 = 220 \][/tex]

To find [tex]\( b \)[/tex], we take the square root of both sides:

[tex]\[ b = \sqrt{220} \][/tex]

Using a calculator, we find:

[tex]\[ b \approx 14.8 \][/tex]

So, the ladder can reach up to approximately 14.8 feet on the building to help save the cat.

Answer:

-1/6

Step-by-step explanation:

When dividing 2 by -12 you would use 2 as the numerator and -12 as the denominator and then simplify it by dividing both by two to end up with -1/6

The question pertains to cumulative probability in a binomial distribution, where the probability of Nicole renting no more than two comedies out of seven movies is calculated by adding the probabilities of renting 0, 1, or 2 comedy movies.

The question is about calculating a cumulative probability, specifically the probability that Nicole rents no more than two comedy movies out of seven. Here the events are not mutually exclusive, and we use the concept of binomial distribution to solve it.

The binomial distribution describes the probability of having exactly k successes (defined as the desired outcome, in our case renting a comedy) in n independent Bernoulli trials (independent events with two possible outcomes - here, renting a comedy or not).

To calculate the binomial distribution, we would use the formula P(k; n, p) = C(n, k) * (p^k) * (1-p)^(n-k), where P(k; n, p) is the probability of k successes in n trials, C(n, k) is the combinations of n items taken k at a time, and p is the probability of a success on a single trial.

In this case, we want to find the cumulative probability, i.e., the probability that Nicole rents 0, 1, or 2 comedy movies. This can be calculated as P(0;7,0.52) + P(1;7,0.52) + P(2;7,0.52).

C(n, k) can be calculated using the formula n! / [(n-k)!k!], where n is the total number of trials and k is the number of successes and '!' denotes factorial.

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To determine the probability that Nicole rents no more than two comedies out of seven movies, we apply the binomial probability formula to calculate the cumulative probability of renting 0, 1, or 2 comedies, and summing those probabilities gives the final answer.

The problem at hand requires calculating the probability of an event occurring a certain number of times given a fixed probability. In this case, we are interested in finding the probability that Nicole rents no more than two comedies out of the next seven movies from iTunes, with the probability of renting a comedy being 52%.

To solve this, we can use the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where 'n' is the number of trials, 'k' is the number of successes, and 'p' is the probability of success on any given trial. We are looking for P(X ≤ 2), which is the cumulative probability of renting 0, 1, or 2 comedies.

Summing these probabilities will give us the final probability that Nicole rents no more than two comedies.

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Answer:

The values  [tex]x=-6[/tex] and [tex]x=-4[/tex] satisfy this inequality

Step-by-step explanation:

Let us look at each individual value of the set  {−6, −4, −3, −1, 0, 2} with regards to the inequality

[tex]x=-6\\\\\frac{-1}{2}(-6)+3\geq 5\\3+3\geq 5\\\\6\geq 5[/tex]

As this inequality is true, [tex]x=-6[/tex] satisfies this inequality

[tex]x=-4\\\\\frac{-1}{2}(-4)+3\geq 5\\\\2+3\geq 5\\\\5\geq 5[/tex]

As this inequality is true, [tex]x=-4[/tex] satisfies this inequality

[tex]x=-3\\\\\frac{-1}{2}(-3)+3\geq 5\\\\\frac{3}{2} +3\geq 5\\\\\frac{9}{2} \geq 5[/tex]

As this inequality is false, [tex]x=-3[/tex] does not satisfy the inequality

[tex]x=-1\\\\\frac{-1}{2}(-1)+3\geq 5\\\\\frac{1}{2} +3\geq 5\\\\\frac{7}{2} \geq 5[/tex]

As this inequality is false, [tex]x=-1[/tex] does not satisfy the inequality

[tex]x=-0\\\\\frac{-1}{2}(0)+3\geq 5\\\\3\geq 5[/tex]

As this inequality is false, [tex]x=0[/tex] does not satisfy the inequality

[tex]x=2\\\\\frac{-1}{2}(2)+3\geq 5\\\\-1+3\geq 5\\\\2\geq 5[/tex]

As this inequality is false, [tex]x=2[/tex] does not satisfy the inequality

The values from the set less than -4 is -6

Given the inequality expression

Subtract 3 from both sides

−1/2x + 3 - 3 ≥ 5 - 3

-1/2x ≥ 5 - 3

-x ≥ 2 * 2

- x ≥ 4

x ≤  -4

This shows that the value of x must be less than -4. The values from the set less than -4 is -6

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Answer:

  B.  4 miles

Step-by-step explanation:

Jim ran a total of ...

  6.5 +5 +3 +2 +3.5 +4 = 24 . . . . miles

Then his average was ...

  (24 miles)/(6 days) = 4 miles/day