PLEASE HELP WILL MARK BRAINLIEST!! ​

Answer:12

Step-by-step explanation:

count you fingers. Easy XD

Answer:

4+8=12

Step-by-step explanation:

If you use your fingers and count

The integral becomes:∫₀¹⁵ u²(1 - u²)du= ∫₀¹⁵ (u² - u⁴)du= [u³/3 - u⁵/5]₀¹⁵= [(1³/3 - 1⁵/5) - (0³/3 - 0⁵/5)]= (1/3 - 1/5)= 2/15. Hence, ∫₀^(π/2) 15 cos³(x)sin²(x)dx = 2/15. The trigonometric function of the form .

Given integral, ∫₀^(π/2) 15 cos³(x)sin²(x)dx.

The trigonometric function of the form cosⁿ(x)sinᵐ(x), can be integrated using the following formulae:∫ cos²(x)dx = x/2 + (sin x cos x)/2 + C∫ cos³(x)dx

= sin(x)cos²(x)/2 + cos(x)/2 + C∫ cos⁴(x)dx

= (3x)/8 + (cos(2x))/4 + (cos(4x))/32 + C∫ sin²(x)dx

= x/2 - (sin 2x)/4 + C∫ sin³(x)dx

= -cos³(x)/3 + cos(x) + C∫ sin⁴(x)dx

= (3x)/8 - (cos(2x))/4 + (cos(4x))/32 + C∫ tan²(x)dx

= tan(x) - x + C∫ sec²(x)dx

= tan(x) + C∫ cosec²(x)dx

= -cot(x) + C

Now, the integral, ∫₀^(π/2) 15 cos³(x)sin²(x)dx can be written as follows:

∫₀^(π/2) 15cos²(x)sin²(x)cos(x) dx

After that, the integral can be solved using the substitution method as:

u = sin(x), then du/dx = cos(x)dx

After replacing sin(x) with u and cos(x)dx with du, the integral becomes:∫₀¹⁵ u²(1 - u²)du= ∫₀¹⁵ (u² - u⁴)du= [u³/3 - u⁵/5]₀¹⁵= [(1³/3 - 1⁵/5) - (0³/3 - 0⁵/5)]= (1/3 - 1/5)= 2/15. Hence, ∫₀^(π/2) 15 cos³(x)sin²(x)dx = 2/15.

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The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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By answering the given question, we may state that Hence, the first-time interest home buyer's mortgage brokerage fees would be $1,653.45.

Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.

In order to determine the mortgage brokerage fees, we must first determine 1.05% of the funded amount and then add the $300 flat charge.

The formula for 1.05% of $128,900 is as follows:

1.05/100 x $128,900 = $1,353.45

The following would be the mortgage brokerage fees:

$1,353.45 + $300 = $1,653.45

Hence, the first-time home buyer's mortgage brokerage fees would be $1,653.45.

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Answer:

28125

Step-by-step explanation:

The \(n\)th term of your geometric sequence is \(9\cdot5^{n-1}\). This means that the 6th term is \(9\cdot5^{6-1}=28125\).

Answer:

9c^2 - 30cd + 25d^2

Step-by-step explanation:

(3c - 5d)^2

= (3c - 5d) (3c - 5d)

= [3c * 3c] + [3c * -5d] + [-5d * 3c] + [-5d * -5d]

= 9c^2 - 30cd + 25d^2

The cοrrect οptiοns are OPTION(A) Angles ∠LRE and ∠FRA and

OPTION(D) ∠TRF and ∠NRL.

Each οf the pairs οf οppοsite angles made by twο intersecting lines is called Vertical angle.

Optiοn A)∠LRE and ∠FRA

These lines are fοrming ∠LRE and ∠FRA

Sο,∠LRE and ∠FRA are vertical angles.

Optiοn B)∠ARS and ∠ERN

These angles have a cοmmοn angle that is ∠SRN

Sο,∠ARS and ∠ERN are nοt vertical angles.

Optiοn C: ∠NRA and ∠SRL

Sο, ∠NRA and ∠SRL are nοt vertical angles.

Optiοn D: ∠TRF and ∠NRL

LF and TN are twο intersecting lines at R

These lines are fοrming ∠TRF and ∠NRL

Sο,∠TRF and ∠NRL  are vertical angles.

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The complete question is  given below.

Answer:

EH is 9 cm

DE is 18 cm

x is

18^2=9^2+b^2

b≈15,588

Answer:

4.28

Step-by-step explanation:

There are 10 possible outcomes in the sample space.

To determine the number of outcomes in the sample space, we need to consider the number of possible sequences of paint jars the painter can try before finally obtaining the purple color.

Since the painter does not repeat any of the jars, we can count the outcomes by considering the possible positions of the purple jar within the sequence.

In the first attempt, there are 4 different jars she can choose from.

If the purple jar is not chosen in the first attempt, there are 3 remaining jars she can choose from in the second attempt.

If the purple jar is not chosen in the second attempt, there are 2 remaining jars she can choose from in the third attempt.

If the purple jar is not chosen in the third attempt, there is only 1 remaining jar she can choose from in the fourth attempt.

Since the purple jar must be chosen at some point, it will be one of the four attempts. Therefore, the total number of outcomes in the sample space is the sum of the outcomes at each step:

4 + 3 + 2 + 1 = 10

So, there are 10 possible outcomes in the sample space.

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.

The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.

Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.

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Answer:

487?

Step-by-step explanation:

To solve this problem, we can set up an equation based on the principle of concentration. Let's assume that x represents the number of gallons of the 5% salt solution that needs to be mixed.

The amount of salt in the 5% solution is 0.05x (since 5% is equivalent to 0.05) and the amount of salt in the 9% solution is 0.09 * 30 = 2.7 gallons.

When these two solutions are mixed, the total volume of the mixture is 30 + x gallons, and the amount of salt in the mixture is 0.07 * (30 + x) gallons.

Now we can set up the equation:

0.05x + 2.7 = 0.07 * (30 + x)

Simplifying the equation:

0.05x + 2.7 = 2.1 + 0.07x

0.05x - 0.07x = 2.1 - 2.7

-0.02x = -0.6

Dividing both sides by -0.02:

x = 30

Therefore, 30 gallons of the 5% salt solution must be mixed with 30 gallons of the 9% solution to obtain a 7% solution.

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How many gallons of a 5% salt solution must be mixed with 30 gallons of a 9% solution to obtain a 7% solution ??

To find the probability that Sylvie will be in the seat farthest from the entrance to the ride, we need to determine the total number of possible seating arrangements and the number of favorable outcomes.

Since there are 8 seats in a circle, Sylvie has 1 seat that is farthest from the entrance.

To calculate the total number of possible seating arrangements, we need to consider that the seats are in a circle. Therefore, we can arrange the remaining 7 seats in (7-1)! = 6! = 720 ways.

Hence, the probability that Sylvie will be in the seat farthest from the entrance is 1/720.

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Yes, the two-sample z test is appropriate here. This test is used to compare the means of two independent groups and determine whether they are statistically different.

In this experiment, the two groups are the participants who received the drink with the artificial sweetener and the participants who received the drink without it. The test will determine if there is a significant difference in their blood glucose levels after consuming each drink. The fact that the same participants are measured on two different days is not an issue, as long as the order in which they receive the drinks is randomized to avoid any potential order effects. The z test requires certain assumptions to be met, such as normality and equal variances between the groups, so the researcher should check these assumptions before conducting the test. Overall, the two-sample z test is a suitable statistical method for analyzing the impact of the new artificial sweetener on blood glucose in this experiment.

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I think the answer is c.2

Answer:

14

Step-by-step explanation:

a. To reach a savings goal of $180,000 by your 18th birthday, assuming starting from your first birthday and earning a 6.5% annual return, your parents would need to save a fixed amount each year.

b. If they adjust their goal to $220,000 and assume a five-year college duration, the annual savings required would change.

a. To calculate the amount your parents would need to save each year to reach the goal of $180,000, we can use the concept of present value. The present value (PV) of the savings should equal the future value (FV) of $180,000, given an annual interest rate of 6.5% and a time period of 17 years (from your first to 18th birthday). By using the formula for calculating present value of an annuity, we can determine the required annual savings amount.

b. If your parents adjust their goal to $220,000 and consider a five-year college duration, the time period would change from 17 years to 16 years (from your first birthday to the year before your 18th birthday). Using the new future value of $220,000 and the same interest rate of 6.5%, the required annual savings amount can be recalculated.

To obtain the specific annual savings amount in both scenarios, the calculations can be done using financial formulas such as the present value of an annuity formula or by utilizing financial calculators or spreadsheets.

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The prediction that is not supported by the data is option B: "The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday."

We can see from the table that on Thursday, 7 sports and trivia books and 19 arts and crafts books were sold, for a difference of 12.

On Thursday, 13 non-fiction books and 19 arts and crafts books were sold. If we assume that the same ratio will hold on Friday, then we can predict that the number of non-fiction books sold will be (19/2)*2.5 = 23.75, which is not a whole number. Therefore, this prediction is not supported by the data.

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Answer: 6 hours

Step-by-step explanation:divide 234 by 13 234/13 you get

18 divide 108 by 18 and then you get

6

Answer:

5/8 yards

Step-by-step explanation:

Amount Used: 3/8 yard

Amount Remaining : 1/4

Amount started with  = Amount Used + Amount Remaining

We need to find the common denominator for 8 and 4.

3/8 stays 3/8, and 1/4 becomes 2/8    (multiply the numerator and                      

                                                                denominator of 1/4 by 2)

3/8 + 2/8 = 5/8

-Chetan K

Answer:

b) 5/8 yard

Step-by-step explanation:

3/8 of the spool is used to make a bow.

She has 1/4 left. 1/4 = 2/8.

2/8 + 3/8 = 5/8

Should there be a global effort to sharply reduce the cutting and burning of old-growth forests?

Yes, there should be a global effort to sharply reduce the cutting and burning of old-growth forests. Old-growth forests are vital ecosystems that provide numerous environmental, social, and economic benefits. They are home to diverse species, including endangered ones, and play a crucial role in carbon sequestration, mitigating climate change, and preserving biodiversity.

Cutting and burning old-growth forests contribute to deforestation, habitat loss, and greenhouse gas emissions. It disrupts ecosystems, threatens species survival, and exacerbates climate change. Protecting old-growth forests is essential for maintaining ecological balance and promoting sustainable development.

Numerous references and scientific studies support the importance of preserving old-growth forests. Some relevant sources include:

"The Importance of Old-Growth Forests" by the World Wildlife Fund (WWF): https://www.worldwildlife.org/initiatives/old-growth-forests

"Old-growth forest protection: A key tool in fighting climate change" by The Nature Conservancy: https://www.nature.org/en-us/what-we-do/our-insights/perspectives/old-growth-forest-protection-fighting-climate-change/

"Old-Growth Forests: Function, Fate and Value" by the United Nations Environment Programme (UNEP): https://www.unep-wcmc.org/resources-and-data/old-growth-forests-function-fate-and-value

These resources provide comprehensive information on the importance of old-growth forest conservation and the need for global efforts to reduce cutting and burning practices.

The question provided seems incomplete and unclear. It mentions a relationship between letters of the alphabet and percentages but does not provide any context or options to choose from. Please provide more information or clarify the question, and I'll be glad to assist you further.

Answer:

Domain = {2, -5, 5, -7 }

Range = { 0, 1 , 3 , 8 }

The total mass of the region E is 32π/15.

We can use a triple integral to find the mass of the region E. The mass density function is given by ƒ(x, y, z) = 16x²z.

We can set up the triple integral as follows:

∫∫∫E ƒ(x, y, z) dV

where E is the region bounded by x² + y² ≤ z ≤ √√√ 2 − x² - y².

To evaluate this integral, we can use cylindrical coordinates, where x = r cos(θ), y = r sin(θ), and z = z. The region E is then defined by 0 ≤ r ≤ √√√ 2, 0 ≤ θ ≤ 2π, and r² ≤ z ≤ √√√ 2 - r².

The integral becomes:

∫0²√√√2 ∫0²π ∫r²√√√2-r² 16(r cos(θ))²z r dz dθ dr

Simplifying this integral:

∫0²√√√2 ∫0²π 16 cos²(θ) ∫r²√√√2-r² z r dz dθ dr

∫0²√√√2 ∫0²π 8 cos²(θ)(2-r²)² dθ dr

∫0²√√√2 8π/3 (8-r⁴) dr

After integrating, we get the total mass of the region E as:

M = 32π/15

Therefore, the total mass of the region E is 32π/15.

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Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

p = 1

Step-by-step explanation:

Given that the system intersect at (4, q) then this point satisfies both equations, that is

q = 4² - 4(4) + 3

q = \(\frac{1}{2}\) (4) + p

Equating both gives

16 - 16 + 3 = 2 + p, that is

3 = 2 + p ( subtract 2 from both sides )

p = 1

The One World Trade Center in NYC is approximately 16/5 times as tall as its original height.

To calculate the height of the One World Trade Center in NYC based on being 3 1/5 times as tall, we can use the following equation:

Height of One World Trade Center = (3 1/5) * Height

Let's assume the height of the One World Trade Center is represented by "H".

Height of One World Trade Center = (3 1/5) * H

To simplify the fraction 3 1/5, we convert it to an improper fraction:

\(3 1/5 = (3 * 5 + 1) / 5 = 16/5\)

Now, we can substitute this value into the equation:

Height of One World Trade Center = (16/5) * H

Therefore, the One World Trade Center is approximately 16/5 times as tall as the height represented by "H".

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The largest group would be the target population as it encompasses all individuals or objects of interest, while the other groups are subsets or smaller samples of this larger group.

Out of the four groups listed, the largest group would be the target population. The target population is the total group of individuals or objects that the researcher is interested in studying or gathering information about. It is the group that the researcher wants to make conclusions about based on their study results.

The accessible population is a subset of the target population and refers to the group of individuals or objects that are accessible and available for the researcher to study. This group may be smaller than the target population if some individuals or objects are not accessible or willing to participate in the study. The sample is a smaller subset of the accessible population that is actually studied and analyzed. The sample is chosen to be representative of the accessible population and the target population.

The control group is a specific type of sample used in experimental research. It is a group that does not receive the intervention or treatment being studied and is used to compare against the group that does receive the intervention or treatment.

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y > x - 3

y > x - 1

The above system of inequalities was given from the question

Firstly, we will need to graph the system of inequalities

y > x - 3

Change the inequality sign to equality sign

The equation becomes

y = x - 3

To find y, let x = 0

y = 0 - 3

y = -3

To find x, let y = 0

0 = x - 3

Make x the subject of the formula

0 + 3 = x

x = 3

For the system of inequality, y > x - 3

The points is (3, -3)

For the second system of inequality

y > x - 1

Change the inequality ss