Brian, Krutika and Peter share £77 in a ratio 2:2:3. How much money does each person get?

The three numbers that form a geometric sequence are  8,28,32

The first three terms of a geometric sequence are:

U₁. U₂, U₃  and can be expressed as

             a,ar,ar²

Where  r is the common ratio

In the given problem, this is equal to: x, y-12, z

The ratio is given:

x : y : z = 2 : 7 : 8

Hence,

x/y = 2/7  or 7x= 2y  .... (equation 1)

and

z/x = 8/2 = 4

Take the ratio of the 3rd term and 1st term of the geometric sequence:

U₃/U₁ = ar²/a = r²

This is equal to: z/x

Hence,

z/x = r² = 4

r = 2

U₂/U₁ = ar/a = r = 2

(y-12) / x = 2

2x = y - 12  ..... (multiply by 2)

4x = 2y - 24

Substitute 2y = 7x from equation 1

4x = 7x - 24

3x = 24

x = 8

y = 7/2 x = (7/2) (8) = 7×4 = 28

z = 4x = 4×8 = 32

Hence, the numbers are: 8,28,32

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Answer:

the Answer is c I just had the same problem

A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.

When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.

The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.

A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.

Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.

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Answer:

6 hours - 5 = 2, so 15 = 6 , as its constant

Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ h=12\\ A=66 \end{cases}\implies 66=\cfrac{12(8+b)}{2} \\\\\\ 66=6(8+b)\implies \cfrac{66}{6}=8+b\implies 11=8+b\implies 3=b\)

Answer:

A)Jo arrived at the destination and prepared to return.

B)8km/h

Step-by-step explanation:

divide 30 by 3.75 which will give you 8km/h.

Hope this helps.

the volume of the solid obtained by rotating the region R about the x-axis is π/6 cubic units.

To find the volume of the solid obtained by rotating the region R enclosed by the curves y = x and y = x² about the x-axis, we can use the method of cylindrical shells.

The volume of a solid generated by rotating a region about the x-axis using cylindrical shells is given by the integral:

V = ∫[a,b] 2πx * f(x) dx

In this case, the region is bounded by the curves y = x and y = x², so the limits of integration will be the x-values where these curves intersect.

Setting x = x², we have:

x² = x

x² - x = 0

x(x - 1) = 0

So, x = 0 and x = 1 are the points of intersection.

The volume of the solid is then given by:

V = ∫[0,1] 2πx * (x - x²) dx

Let's evaluate this integral:

V = 2π ∫[0,1] (x² - x³) dx

  = 2π [x³/3 - x⁴/4] evaluated from 0 to 1

  = 2π [(1/3) - (1/4) - (0 - 0)]

  = 2π [(1/3) - (1/4)]

  = 2π [4/12 - 3/12]

  = 2π [1/12]

  = π/6

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Answer:

Standing rectangle= 7 heptagon equal to 20 rectangle horizontal = 4 circle equal to 8

Step-by-step explanation:

Step-by-step explanation:

5.

normally no.

just think - we are talking about people. it's it possible to have half of a friend at a game ?

no, the input is not possible.

but if this function is used in the context or a larger analysis, and mean values are created and checked, then it might be valid.

it all depends on the context of how the function is used.

2.

we don't see all answer options, but the range is the interval or set of all valid y-values (the 2nd number in an ordered pair).

we see : -1, 3, 4, 6

whichever answer option shows this is correct.

Answer:

30

Step-by-step explanation:

3fg                                 f = 2 and g = 5

3 · 2 · 5 = 30

So, the correct answer is 30

The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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At least one right angle: A + C + E

At least 2 sides of equal length: B + C + E

At least one pair of parallel sides: A + B + E

It should be noted that in geometry and trigonometry, a right angle is an angle of exactly 90 degrees or pi /2 radians corresponding to a quarter turn.

In this case, if a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles

When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.

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Answer:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th

Step-by-step explanation:

Answer:

Term

Step-by-step explanation:

Answer:

11,000 + 30+4

Step-by-step explanation:

Multiply the mass in kilogrammes by 2.2046226218 to convert 50 kg to pounds.

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A measurement using a ruler marked in cm is reported as 12 cm. The range of values for the actual measurement can be from 11.5 cm to 12.5 cm.

A measurement is a quantification of a characteristic, such as the weight, height, volume, or size of an object. Measurements of physical parameters such as length, mass, and time are commonly used.

The size of a quantity, such as 12 meters or 25 kilograms, is usually given as a number.

The value of the quantity is the numerical answer, while the unit is the type of measurement used to express it.

In the question, it is given that a measurement is reported as 12 cm, but the actual measurement can have some deviations or uncertainties. This deviation is called the uncertainty of the measurement.

The range of values for the actual measurement can be given by the formula:

Measured value ± (0.5 x smallest unit)where 0.5 is the uncertainty associated with the measurement using a ruler marked in cm

.In this case, the smallest unit is 1 cm, so the range of values for the actual measurement can be calculated as:

12 cm ± (0.5 x 1 cm)

= 12 cm ± 0.5 cm

Therefore, the range of values for the actual measurement is from 11.5 cm to 12.5 cm.

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The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.

Let us consider the present age of Earl to be x years.

According to the given question, the present age of Robin is twice that of Earl = 2x

And since it is given that Adam is 8 years younger than Earl, then his age

= x - 8

After 6 years, the age of Earl will be x + 6

Robin's age  will be = 2x + 6

Adam's age will be = x - 8 + 6 = x - 2

According to the given question, Robin's age will be thrice the age of Adam.

Hence, 2x + 6 = 3 (x - 2)

⇒ 2x + 6 = 3x - 6     ⇒ 6 + 6 = 3x - 2x     ⇒ 12 = x

Thus, the present age of Earl is 12 years,

Robin's age = 2x = 2 x 12 = 24 years

Adam's age = x - 8 = 12 - 8 = 4 years

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Answer:

its actually hard

Step-by-step explanation:

it is hard OMG

Answer:

∠ EDF =104°

Step-by-step explanation:

The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is

∠ EDF = \(\frac{1}{2}\) (arc EF + arc GU )

           = \(\frac{1}{2}\) (147 + 61)°

           = \(\frac{1}{2}\) × 208°

           = 104°

Answer:

is there an actual graph though that would really help

Step-by-step explanation:

Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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Answer:

1 Ton is 2000 pounds so multiply that by 4 is 8000 then subtract 2500 from 8000

Answer: 5500lb

Answer:

x+50+80=180

x=180-130

x=50

Answer:

x=50

Step-by-step explanation:

(sry for the bad writing, i cant write well on a computer)

-Todo<3

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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Using the combination formula, it is found that there are \(6.4 \times 10^{32}\) ways to deal the cards to the six players.

The order in which the cards are handed to each player is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

\(T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}\)

\(6.4 \times 10^{32}\)

There are \(6.4 \times 10^{32}\) ways to deal the cards to the six players.

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Answer:

rose 8

Step-by-step explanation:

-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think

Answer:

0.25

Step-by-step explanation:

as she usually finishes the race in 7.5 and her time for breaks are at 7.75 all you have to do is solve a simple equation of : 7.75 - 7.50 = 0.25

Answer:0.25

Step-by-step explanation:

as she usually finishes the race in 7.5 and her time for breaks are at 7.75 all you have to do is solve a simple equation of : 7.75 - 7.50 = 0.25