the sequence -9,-15,-21,-27 is a Arithmetic sequence or
Geometric sequence

The sequence 48,24,12,6 is a
Arithmetic sequence or
Geometric sequence

Answer:

There is no greatest perfect square that is a factor of 1290.

Step-by-step explanation:

The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. There are no perfect squares as factors.

1 is the greatest perfect square that is a factor of 1290.

A perfect square is one that is derived by multiplying an integer by itself.

The following are perfect squares:

Looking at the factors of 1,290, the only perfect square appearing there is 1.

We can therefore conclusively state that 1 is the greatest perfect square that is also a factor of 1,290

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Answer:

840.

Step-by-step explanation:

4%of £7000=£280

£280 x 3(years)=£840

Given that A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations.

The results include the following sum of squares terms: SST = 1515

SSA = 1003

SSB = 368

SSAB = 30.

Construction of ANOVA table: The formula for calculation of the ANOVA table is Sums of Squares(SS)Degree of Freedom(df) Mean Square(MS)F value In order to calculate the ANOVA table, we need to calculate degree of freedom first.

df(A) = number of columns - 1

= 3 - 1 = 2

df(B) = number of rows - 1

= 5 - 1

= 4df(AB)

= (number of columns - 1) * (number of rows - 1)

= (3 - 1) * (5 - 1)

= 8df(Error)

= (number of columns * number of rows) - (number of columns + number of rows) + 1

= (3 * 5) - (3 + 5) + 1

= 8

Therefore,

df(SST) = df(A) + df(B) + df(AB) + df(Error)

= 2 + 4 + 8 + 8 = 22

Now, the ANOVA table can be constructed as follows: Source SSdf MSF value A 10032.44410.321 B 3684.618.601 AB 308.333.528 Error 197.51324.689 Total 1515 21.

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Answer:

5/2

Step-by-step explanation:

\( {( \frac{4}{25} )}^{ - \frac{1}{2} } \)

Apply indices rule and Simplify

\( \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} \)

\( = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \)

The measure that is considered an outlier is the data-set is a measure of 29.5.

The interquartile range is calculated as the difference between the third quartile and the first quartile.

The values that are outliers are given as follows:

The quartiles for this problem are given as follows:

Q1 = 17, Q3 = 22.

Hence the IQR is of:

IQR = 22 - 17

IQR = 5.

Meaning that the outliers are given as follows:

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The translation undergone by the object with Yolanda is; (x, y + 4)

In transformation in maths, there are different types such as reflection, dilation, rotation, translation e.t.c

We are dealing with reflection and translation here. Reflection is simply the mirror image of the object while translation is moving the object from one point to the other while preserving its' shape and dimensions.

Now, we are told that Yolanda reflects an object in the line y = -1.

The line  y = -1 is a horizontal line passing through all points with a y-coordinate of -1. Thus;

The x-coordinate will remain the same but the y-distance will be y + 1.

Under reflection the y-coordinate will be 1 units above the line y = -1

That is -1 - (y + 1)= -2 - y

She now reflects it in the line y = 1 and likewise, the x-coordinate will remain the same but the y-coordinate will now be;

2 - (-2 - y) = y + 4

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Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

The after-school club collected 136 items per day for the food bank.

We'll need to use division to solve this problem.
Identify the total number of items collected (2,720) and the number of days items were collected (20).
Divide the total number of items (2,720) by the number of days (20) to find the number of items collected per day.
2,720 items ÷ 20 days = 136 items
To determine how many items were collected per day, we can divide the total number of items collected (2,720) by the number of days (20):

2,720 ÷ 20 = 136

Therefore, the after-school club collected an average of 136 items per day for 20 days.

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The given expression has sin A = BC/AC=36/85, cos A = AB/AC=77/85, tan A = BC/AB=36/77

In trigonometry, the values of sin, cos, and tan are the main functions we consider when solving trigonometric problems. Using these trigonometric values, the angles and sides of a right-angle triangle are calculated. In addition to sine, cosine, and tangent values, the other three significant values are cotangent, secant, and cosecant.

Normally, when calculating the sin, cos, and tan values for a triangle, the angles of 0°, 30°, 45°, 60°, and 90° are taken into consideration. These specific angles' values are easy to remember. What the trigonometric values are all about is knowing the standard angles for a specific triangle according to the trigonometric ratios (sine, cosine, tangent, cotangent, secant and cosecant).

We have, AB = 77 , BC = 36.and CA=85

When we consider the t-ratios of ∠A, we have

Base = AB = 77, Perpendicular = BC = 36, Hypotenuse = AC =85.

∴sin A = BC/AC=36/85 , cos A = AB/AC=77/85 , tan A = BC/AB=36/77

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The rate proportional to the radius, with a constant of proportionality equal to 2π.

The rate of change of a circle with respect to the radius is called the derivative of the circle's area with respect to its radius.

The area A of a circle with radius r is given by the formula:

A = πr^2

To find the derivative of A with respect to r, we can use the power rule of differentiation:

dA/dr = 2πr

Therefore, the rate of change of the circle's area with respect to its radius is 2πr. This means that if we increase the radius of a circle by a small amount Δr, the corresponding change in the area ΔA will be approximately equal to:

ΔA ≈ 2πrΔr

This relationship shows that the area of a circle increases at a rate proportional to the radius, with a constant of proportionality equal to 2π.

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Answer:

d = 10.5, a₁ = - 3.5

Step-by-step explanation:

The n th term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 7 and a₄ = 28 , then

a₁ + d = 7 → (1)

a₁ + 3d = 28 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 21 ( divide both sides by 2 )

d = 10.5 ← common difference

Substitute d = 10.5 into (1)

a₁ + 10.5 = 7 ( subtract 10.5 from both sides )

a₁ = - 3.5 ← first term

Answer:

7

Step-by-step explanation:

8-9-6

Answer:

4/100 = x/50

Step-by-step explanation:

inches on top miles on bottom

The change in air pressure when the pure tone is produced is mathematically given as

p(1/2000) =0 mP

This pressure is referred to as the atmospheric pressure, air pressure, or simply pressure. It is the force that is exerted on a surface by the air that is above it due to the gravitational pull that gravity has on the surface. A barometer is an instrument most often used to measure the pressure of the atmosphere. When the pressure in the atmosphere changes, a column of mercury contained inside a glass tube in a barometer will either rise or sink.

Generally, the equation for is pressure  mathematically given as

\(p(t) =2sin (4000\pi t)\)

Therefore

p(1/2000) =2sin (4000\pi *1/2000)

p(1/2000) = 2sin (2\pi)

p(1/2000) = 2*0

p(1/2000) =0 mP

In conclusion, the pressure

p(1/2000) =0 mP

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The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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Answer:

Explanation:

a perpendicular bisector, bisects a line segment at

right angles

to obtain the equation we require slope and a point on it

find the midpoint and slope of the given points

midpoint

=

[

1

2

(

1

+

5

)

,

1

2

(

4

−

2

)

]

midpoint

=

(

3

,

1

)

←

point on bisector

calculate the slope m using the

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let

(

x

1

,

y

1

)

=

(

1

,

4

)

and

(

x

2

,

y

2

)

=

(

5

,

−

2

)

⇒

m

=

−

2

−

4

5

−

1

=

−

6

4

=

−

3

2

given a line with slope m then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

3

2

=

2

3

←

slope of bisector

using

m

=

2

3

and

(

x

1

,

y

1

)

=

(

3

,

1

)

then

y

−

1

=

2

3

(

x

−

3

)

←

in point-slope form

⇒

y

−

1

=

2

3

x

−

2

⇒

y

=

2

3

x

−

1

←

in slope-intercept form

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

y = 10 x - 3 z

yeah-ya........ right?

Answer:

The answer is 8.

I'm pretty sure.

The order from least to greatest is negative 7.7 repeating, negative seven and one sixth,  forty-four sixths and square root of 60

To determine the order from least to greatest is to arrange the values in an ascending order.

Given the values as;

This is expressed as;

√60 = 7. 75

-7. 7

44/ 6 = 7. 33

-7 1/6 = -43/ 6 = -7. 17

The order from least to greatest is -7. 7, -7. 17 , 7. 33 and 7. 75

Thus, the order from least to greatest is negative 7.7 repeating, negative seven and one sixth,  forty-four sixths and square root of 60

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Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.

Hour:

A unit of time equal to one of 24 equal divisions of a day; 60 minutes

Given that:

S+ D+ K = 135

K= S+ 25

D= S- 10

Now,

S+ (S-10)+ (S+25) = 135

⇒ S+ S-25+ S+10 = 135

⇒ 3S - 15 = 135

⇒ 3S = 150

⇒ S = 165/3 = 50

Now,

If S = 50 hours

Then,

K = 50+ 25 = 75 hours

and

D = 55 - 10 = 45 hours

Therefore, Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.

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Answer:

The cost he will pay for 10 rides will be $70 and for r rides will be .

Step-by-step explanation:

The price of admission into the park is $20.The price for each ride is $5David takes 10 rides,So, the cost he will pay if he took 10 rides will be,If he had r rides,So, the cost he will pay if he took r rides will be,Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be.

!!! hope this helps !!!!

Answer:

in total he would pay 60

Step-by-step explanation:

30 to get in and 30 to ride rides

Answer:

48/5

Step-by-step explanation:

hope it helps!

......

Answer: The answer is option C: $17,925.00.

Step-by-step explanation: Using the simple interest formula:

I = Prt

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We can find the interest earned over the 6 years:

I = P * r * t = $15,000 * 0.0325 * 6 = $2,925

Adding the interest to the principal, we get the balance at the end of the 6 years:

Balance = Principal + Interest = $15,000 + $2,925 = $17,925

Therefore, the answer is option C: $17,925.00.

The area of the figure below is 58 in².

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The area of the floor of the igloo is 842.9 m²

We know that the formula for the volume of hemisphere is given by,

V = (2/3) × π × r³

where r is the radius of the hemisphere

Here, a hemisphere igloo has a volume of about 9,202.8 m³

Using above formula of the volume of hemisphere,

V = (2/3) × π × r³

9202.8 = (2/3) × π × r³

r³ = 9202.8 × (3/2π)

r³ = 4394.01

r = 16.38 m

We know that the area of the floor of the igloo is equivalent to the area of circle, as the base of hemisphere is a circle.

So, the area of the floor of the igloo would be,

A = π × r²

A = π × 16.38²

A = 842.9 m²

Therefore, the required area is 842.9 m²

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Answer:

(D) 27 - C

Step-by-step explanation:

The "less than" means we are subtracting C from 27, so 27 - C.

Hope it helps (●'◡'●)

Answer:

The answer would be A. It is the population PER YEAR, so it would not be C or D because the population change is only negative, and -2,500,000 people/year is way too much. It must be A, -83,333 people/year. Hope I helped!

Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08  the probability that more than 5 patients arrive at the hospital

What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?

Step-by-step explanation:

Group of answer choices

A. 0.43

B. 0.18

C. 0.82

D. 1

Part two of the question:

using the same information as stated before,

Match the probability statements with the correct probabilities.

(choose one answer)

The probability that X is less than or equal to 5.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is greater than 7.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is between 3 (noninclusive) and 7 (noninclusive).

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that no patients arrive in that interval.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

dang this looks so confuseing