Divide 3x^2 -2x^2 -61x -20 by x -5

Answer:

B

Step-by-step explanation:

Final answer:

Geoff's garden exhibits exponential growth of dahlia bulbs, doubling each year. By following this pattern, Geoff should expect to have 768 bulbs in the eighth year.

Explanation:

Geoff’s dahlia bulbs are showing a pattern of doubling in quantity each year. This is an example of exponential growth, a concept commonly explored in mathematics. To determine the number of bulbs Geoff can expect in the eighth year, we need to continue this pattern.

In the first year, there are 6 bulbs. The second year has 12 bulbs which is 6 multiplied by 2. The third year has 24 bulbs, which is 12 multiplied by 2. This pattern suggests that every year, the number of bulbs is the previous year's total multiplied by 2.

By following this pattern, to find the number of bulbs in the eighth year, we calculate:

Fourth year: 24 bulbs × 2 = 48 bulbs

Fifth year: 48 bulbs × 2 = 96 bulbs

Sixth year: 96 bulbs × 2 = 192 bulbs

Seventh year: 192 bulbs × 2 = 384 bulbs

Eighth year: 384 bulbs × 2 = 768 bulbs

Therefore, Geoff should expect to have 768 bulbs in his garden in the eighth year if the pattern of doubling the number of bulbs each year continues.

To find the original weight of a bag of grapes before some were eaten, you divide the current weight of 5/8 lb by 4. The calculation reveals that the bag's original weight was 5 pounds.

The question asks us to calculate the original weight of a bag of grapes before it was partially eaten. After eating some of the grapes, the bag now weighs 5/8 of a pound. To find the original weight, we need to determine what weight, when multiplied by 4, would equal 5/8 of a pound. We do this by dividing the current weight by 4 to reverse the multiplication. Using the formula:

Original Weight = Current Weight / 4

So:

Original Weight = (5/8) lb / 4

When we do the calculation:

Original Weight = (5/8) lb / (4/1)

Original Weight = (5/8) lb \(1/4)

Original Weight = (5/32) lb

Since (5/32) lb is equivalent to 5 pounds (when multiplied by 4, it gives 20/32 lb, which simplifies to 5/8 lb), the original weight of the bag of grapes was 5 pounds.

For this case we have the following definitions:

Answer:

x ----------------> Variable

3 ----------------> Coefficient

1 ----------------> Constant

[tex]3x ^ 2-4x + 1[/tex] -----------> Algebraic expression

2 ----------------> Degree

Answer:

Option C

Step-by-step explanation:

we need to find the solution(s) to the quadratic equation 50 – x^2 = 0

50 – x^2 = 0

Subtract 50 from both sides

– x^2 = -50

Now divide by -1 from both sides

x^2 = 50

To remove square , take square root on both sides

[tex]x=+-\sqrt{50}[/tex]

[tex]x=+-\sqrt{25*2}[/tex]

[tex]x=+-5\sqrt{2}[/tex]

Option C is the answer

Answer:

the asnwer is 5

Step-by-step explanation:

i did this question

The given inequality is:

|-8x+24| \leq 16

This inequality can be divided in two parts as:

a) -16 \leq -8x +24

b) -8x + 24 \leq 16

Solving part a:

-16 \leq -8x+24 \\ \\ 
-40 \leq -8x \\ \\ 
5 \geq x \\ 
or \\ 
x \leq 5

Solving part b:

-8x+24 \leq 16 \\ \\ 
-8x \leq -8 \\ \\ 
x \geq 1

Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.

In interval notation, this solution can be expressed as [1,5

Read more on Brainly.com - https://brainly.com/question/9377317#readmore

The ratio of male clients to female clients for the hairstylist is 21:49, which simplifies to 3:7 after dividing both numbers by the GCD of 7.

The question asks to find the ratio of male clients to female clients for a hairstylist. In this scenario, the hairstylist has had 49 female clients and 21 male clients. To find the ratio of male to female clients, we compare the number of male clients to the number of female clients.

The ratio is expressed as male clients : female clients. Thus, the ratio of male clients to female clients is:

21 male clients : 49 female clients

To simplify the ratio, we find the greatest common divisor (GCD) of 21 and 49, which is 7. Dividing both numbers by 7, we get:

3 male clients : 7 female clients

Answer:

100

Step-by-step explanation:

Final answer:

To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability. According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. Since Noah has already paid $3,260 in federal taxes, he has overpaid his taxes and will receive a refund of $1.28.

Explanation:

To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability.

First, we need to determine his taxable income after considering his filing status. As he is filing as married filing jointly, we can check the tax brackets for that status.

According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. To calculate the tax liability, we multiply the taxable income by the tax rate, which gives us $27,156 * 0.12 = $3,258.72.

Since Noah has already paid $3,260 in federal taxes, he has paid more than his tax liability for the year. In this case, he will receive a tax refund equal to the difference between his tax liability and the amount he has already paid, so the amount he will receive is $3,258.72 - $3,260 = $-1.28.

Therefore, Noah will receive a tax refund of $1.28 after figuring his taxes for the year.

Answer:

a 24

Step-by-step explanation:

Answer:

There are 3 elements in the set.

Step-by-step explanation:

Given set,

{A, B, C}

∵ Set is the collection of defined distinct objects,

These objects are called elements of the set,

We have given a set in which A, B, C are present thus they must be distinct,

So, by the above definition,

The given set has three elements.

To find the probability mass function (pmf) of the number of red M&Ms in a bag, use the binomial distribution formula. The probability a bag has no red M&Ms is calculated by raising (4/5) to the 25th power, as per the binomial distribution with a success probability of 1/5 and 25 trials.

The question involves finding the probability mass function (pmf) of the number of red M&Ms in a bag of 25 M&Ms where each M&M has an equal chance of being one of five colors.

To determine the pmf of the number of red M&Ms, which we'll call r, we can use the binomial distribution, since each M&M is an independent Bernoulli trial with two outcomes (red or not red), and each M&M has the same probability of being red.

The probability of getting a red M&M is 1/5, so the pmf of r for k red M&Ms in a bag of 25 is given by P(r=k) = (25 choose k) × (1/5)^k × (4/5)^(25-k).

To find the probability that a bag has no red M&Ms, we set k to 0 in the pmf formula: P(r=0) = (25 choose 0) × (1/5)⁰ × (4/5)²⁵. This simplifies to (4/5)²⁵, since any number to the zero power is 1 and (25 choose 0) is also 1.

Solution:

we are given that

Camilla’s class played soccer for 2/3 hour.

She played for 3/5 of the game.

we have been asked to find

How much time did Camilla play?

Here we are given total time of play for the whole class and camilla played part of that time so we will just multiply the total play time with the fraction of time that camilla played. That will give the actual play time of camilla.

So camila played for [tex]=\frac{2}{3}*\frac{3}{5} =\frac{6}{15}Hr[/tex]

Hence camilla played for 6/15 Hr.

Hence the correct option ois B.