Look at the row of numbers below.
What number should come next after 1/3?
81 27 9 3 1 1/3 ?​

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

The integral of sin(ax)sin(bx)dx evaluated using integration by parts is [- b cos(ax) sin(bx) - a cos(ax)sin(bx)] / [1 - ab] + C, where C is the constant of integration.

Let u = sin(ax), dv = sin(bx) dx, then du/dx = a cos(ax), v = - (1/b) cos(bx).

By integration by parts, we have:

∫sin(ax)sin(bx)dx = - (1/b) sin(ax) cos(bx) - ∫cos(ax)cos(bx) (a/b) dx

Next, let u = cos(ax), dv = cos(bx) dx, then du/dx = -a sin(ax), v = (1/b) sin(bx).

Using integration by parts again, we have:

∫sin(ax)sin(bx)dx = - (1/b) sin(ax) cos(bx) - [ (a/b)cos(ax)sin(bx) - (a/b^2) ∫sin(ax)sin(bx) dx]

Multiplying both sides by b^2 and rearranging, we get:

b^2 ∫sin(ax)sin(bx)dx = - b cos(ax) sin(bx) - a cos(ax)sin(bx) + a b ∫sin(ax)sin(bx)dx

Simplifying, we get:

[1 - ab] ∫sin(ax)sin(bx)dx = - b cos(ax) sin(bx) - a cos(ax)sin(bx)

Thus, we have:

∫sin(ax)sin(bx)dx = [- b cos(ax) sin(bx) - a cos(ax)sin(bx)] / [1 - ab]

Therefore, we have evaluated the given integral using integration by parts.

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Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:

A2 -2

Step-by-step explanation:

Given the mathematical expression;

-7 + 5

To find their sum;

Simplifying a mathematical expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.

-7 + 5 = -2

Therefore, the sum of -7 + 5 is equal to -2

Answer:

8  * X = 56

Step-by-step explanation:

8  * X = 56

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Step-by-step explanation:

2x + 3z = 17

3x + 4z = 24

FYI - this is not a situation, where I would choose the elimination method ("equation arithmetic") to solve the system of equations, because none of the terms is the same or numerically "compatible", so that I need to multiply only one equation with an integer before adding or subtracting the equations.

basically it is very similar to fraction arithmetic. but instead of bringing 2 fractions to the same denominator, we need to bring one of the terms to the same factor.

so, let's bring both equations to 6x terms (6 being the smallest common multiple of 2 and 3) and then subtract the second from the first equation :

6x + 9z = 51

- 6x + 8z = 48

----------------------

0 + z = 3

=> e.g. via the first original equation :

2x + 3×3 = 17

2x + 9 = 17

2x = 8

x = 4

Answer:

c

Step-by-step explanation:

here

x=3

y=4

so,

-2×3+6×4=18

or,-6+24=18

Answer:

The answer is C

Step-by-step explanation:

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

Step-by-step explanation:

27-x=17

Answer:

um how can we help you when there's no equations...

Step-by-step explanation:

The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

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Answer:

3/8 is less than 7/16. 3/8 is equal to 6/16.

Answer: (5/8)x

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

Consider the expression 4(8x + 5)

Complete 2 descriptions of the parts of the expression.

1. The entire expression is the product of 2 factors.

2. On its own, (8x + 5) is a sum with 2 terms.

Answer:

A.  (x - 80)² = -320(y = 20)

B.  Focus:  (80, -60)

     Directrix:  y = 100

     Axis of symmetry:  x = 80

Step-by-step explanation:

If the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:

Standard form of a parabola with a vertical axis of symmetry:

\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

Substitute one of the x-intercepts and the vertex into the formula and solve for p:

\(\implies (0-80)^2=4p(0-20)\)

\(\implies (-80)^2=4p(-20)\)

\(\implies 6400=-80p\)

\(\implies p=-80\)

Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:

\(\implies (x-80)^2=4(-80)(y-20)\)

\(\implies (x-80)^2=-320(y-20)\)

Given:

\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)

\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)

\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)

Regression toward the mean is most likely to account for the higher scores. So the option 2 is correct.

The answer to this query is based on a long-term investigation. An observational study that tracks the same people across time, sometimes from birth to death, is called a longitudinal study.

The right response is regression to the mean. When a sample point for a random variable is extreme, regression toward the mean is the phenomena that results, with subsequent measurements, in a point that is closer to the mean or average.

This is your response with justification. You can find me in the comments section if you have any questions or doubts about the question or the answer, though.

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The complete question is:

In a flight simulation test, a particular pilot among a group of pilots receives a very low score. However, when he takes the test after six months, he performs considerably better and his scores are closer to the average of the group. Which of the following is most likely to account for the higher scores?

1. instrument decay

2. regression toward the mean

3. carryover effects

4. fatigue effects

Number of bags of sand needed to cover the area of circular pool is 51 bags.

A circle is a round-shaped figure that has no corners or edges.

Now it is given that,

Diameter of pool, D = 14 feet

So, Area of pool = π(D/2)²

⇒  Area of pool = π(14/2)²

⇒  Area of pool = π(7)²

⇒  Area of pool = 153.86 square feet

Now given Area of 1 bag = 3 square feet

So, number of bags required = Area of pool / Area of 1 bag

⇒ number of bags required = 153.86/ 3

⇒ number of bags required = 51.28

⇒ number of bags required ≈ 51

Thus, Number of bags of sand needed to cover the area of circular pool is 51 bags.

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Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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Answer:

Step-by-step explanation:

the equation is 8 cause 10 equals 8

Answer:

Step-by-step explanation:

There should be a video to help you probably says something like hint? then click there

Answer:

They have videos you can watch

Step-by-step explanation:

those videos will help explain them better and show you exactly how to do that problem

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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The mean value of the sample is 98.1 F and its standard deviation is 0.7 F.

The margin of error of the mean value is given by 0.7/sqrt(751) = 0.7/27.4 = 0.026 (rounded to the nearest thousandth)

Using the Z test, we got: Z = (98.6 - 98.1)/(0.026) = 0.5/0.026 = 196

Therefore, the mean value of the sample is incompatible with 98.6 and we can claim that the mean body temperature is less than it.

Answer:

9

Step-by-step explanation:

18÷9=2

27÷9=3

54÷9=6

With the sum of digits of a two-digit number is 9. If the digits are reversed, the number is increased by 63. The number is 18. So, the correct option is A.

Let the two-digit number be represented by 10x + y, where x is the tens digit and y is the ones digit. We are told that x + y = 9 and that if the digits are reversed, the number is increased by 63.

If we reverse the digits of the original number, we get 10y + x. The difference between this number and the original number is 63, so we can set up the equation:

10y + x - (10x + y) = 63

Simplifying this equation, we get:

9y - 9x = 63

Dividing both sides by 9, we get:

y - x = 7

Now we have two equations: x + y = 9 and y - x = 7. We can solve this system of equations by adding the two equations:

2y = 16

y = 8

Substituting y = 8 into x + y = 9, we get:

x + 8 = 9

x = 1

Therefore, the original number is 10x + y = 10(1) + 8 = 18. So the answer is (a) 18.

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Try this option:

1) if csc(u)=9, then 1/sin(u)=9 and sin(u)=1/9;

2) if sin(u)=1/9, then cos(u):

\(cos(u)=\sqrt{1-sin^2(u)}=\sqrt{1-\frac{1}{81}}=\frac{4\sqrt{5}}{9};\)

3) \(if \ sin(u)=\frac{1}{9} \ and \ cos(u)=\frac{4\sqrt{5}}{9}, then\)

\(sin(2u)=2sin(u)*cos(u)=\frac{8\sqrt{5}}{81};\)

\(cos(2u)=cos^2(u)-sin^2(u)=\frac{80}{81}-\frac{1}{81}=\frac{79}{81};\)

\(tan(2u)=\frac{sin(2u)}{cos(2u)}=\frac{\frac{8\sqrt{5}}{81}}{\frac{79}{81} }=\frac{8\sqrt{5}}{79}.\)

Answer:

21

Step-by-step explanation: