Hehe. Suppose 3 < a < 4 and 4

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Step-by-step explanation:

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Answer:

Unlikely

Step-by-step explanation:

50/50 means that there is half a chance to loose a turn or 6/12 which is not the case.

Certain is definitely not correct as there is only 1/12 of a chance.

And impossible is not possible because it would have to be 0/12. There is still a chance to loose a turn with 1/12

Answer:

x > 367

Step-by-step explanation:

set x = # of DVDs they sold

Each DVD costs $15 so the total amount they made is 15x

Since they raised more than $5500

15x > 5500

Divide both sides by 15 to solve the inequality and you get

x > 366.67 and since you can't sell 0.67 of a DVD, round up to get

x > 367 which means that they sold more than 367 DVDs

Answer:

\(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

Step-by-step explanation:

Given

\(f(b) = b^2 - 75\)

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

\(0 = b^2 - 75\)

Add 75 to both sides

\(75 + 0 = b^2 - 75 + 75\)

\(75 = b^2\)

Take square roots of both sides

\(\sqrt{75} = \sqrt{b^2}\)

\(\sqrt{75} = b\)

Reorder

\(b = \sqrt{75}\)

Expand 75 as a product of 25 and 3

\(b = \sqrt{25*3}\)

Split the expression

\(b = \sqrt{25} *\sqrt{3}\)

\(b = \±5 *\sqrt{3}\)

\(b = \±5 \sqrt{3}\)

\(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

The options are not clear enough; however the roots of the equation are \(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

By answering the presented question, we may conclude that Since n expression must be a whole number, the closest integer to 3.32193 is 3. Therefore, there are 3 terms in the series.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

We can use the formula for the sum of a finite geometric series to solve this problem:

\(S_n = a1(1 - r^n)/(1 - r)\\S_n = 8,190, r = 1/2, and a1 = 4,096. \\8,190 = 4,096(1 - (1/2)^n)/(1 - 1/2)\\16,380 = 4,096(1 - (1/2)^n)\\4 = 1 - (1/2)^n\\5/4 = (1/2)^n\\n = log(5/4) / log(1/2)\\n= 3.32193\\\)

Since n must be a whole number, the closest integer to 3.32193 is 3. Therefore, there are 3 terms in the series.

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Answer:

Hey your answer is the last one

Step-by-step explanation:

Hope it helps  229 999 0523

Answer:

$13

Step-by-step explanation:

15 x 2 =30 - 17 = 13

Answer:

33.3%

Step-by-step explanation:

Answer:

The range of y = ex is all numbers greater than 0, so since the function has been shifted up 1, the new range of the function is all numbers greater than 1. Since the argument of any log must be greater than 0, (x-1)/2 > 0. Thus x - 1 > 0, so x > 1

Answer:

defines the set of values [ 1, 2, 3, 4, 5 ], and the range

1 : 3 : 5

defines the set of values [ 1, 4 ].

Although a range constant specifies a row vector, Octave does not normally convert range constants to vectors unless it is necessary to do so. This allows you to write a constant like 1 : 10000 without using 80,000 bytes of storage on a typical 32-bit workstation.

A common example of when it does become necessary to convert ranges into vectors occurs when they appear within a vector (i.e., inside square brackets). For instance, whereas

x = 0 : 0.1 : 1;

defines x to be a variable of type range and occupies 24 bytes of memory, the expression

Answer:-3x - 12 + 5x

Step-by-step explanation:

Step-by-step explanation:

We know the quadratic formula, which is :

\( \\ {\longrightarrow \qquad{ \sf{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }}} \\ \\ \)

Here,

So,

\( \\ {\longrightarrow \qquad{ \sf{x = \frac{ - ( - 6) \pm \sqrt{ {( - 6)}^{2} - 4(1)( - 5) } }{2(1)} }}} \\ \\ \)

\( {\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 - 4( - 5) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 + 20 } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 56 } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(28) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(14) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(2)(7) } }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2} . \sqrt{2} . \sqrt{2 . 7} }{2} }}} \\ \\ \)

\({\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm 2 \sqrt{14} }{2} }}} \\ \\ \)

Now, Separating the solutions :

\( \\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 + 2 \sqrt{14} }{2} }}} \\ \\ \)

\( {\longrightarrow \qquad{ \sf{x = 3 + \sqrt{14}}}}\\ \\ \)

\(\\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 - 2 \sqrt{14} }{2} }}} \\ \\ \)

\( {\longrightarrow \qquad{ \sf{x = 3 - \sqrt{14}}}}\\ \\ \)

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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The probability of choosing an unshaded cube followed by a shaded cube is 2/9

The sample space is given as:

Unshaded shapes = 10

Shaded shapes = 9

There are 5 unshaded cubes and 4 shaded cubes.

So, the required probability is:

P = 5/10 * 4/9

Evaluate the product

P = 2/9

Hence, the probability of choosing an unshaded cube followed by a shaded cube is 2/9

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The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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Answer:

Step-by-step explanation:

[angle of sector]/360 x π x radius ² [formula to find area of a sector]

30/360 x π x 4²

Type into a calculator

4.18879

Answer:

u=20

Step-by-step explanation:

The normal cost of an individual is given as x = (504/14) + 6.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given the x as a normal cost of an individual.

Per person cost by group package = Cost / total person

⇒ 504/14

Now saying that that is less than 6 of the normal cost of an individual.

So,

The normal cost of an individual - 6 = 504/14

The normal cost of an individual (x) = 504/14 + 6 = 42

Hence "The normal cost of an individual is given as x = (504/14) + 6".

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Answer:

  7 vans are needed

Step-by-step explanation:

The number of vans can be found from ...

  (32 children)/(5 children/van) = 6.4 vans

6 vans is not enough. 7 vans are needed.

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

He put 13 rolls in each baskets

Answer: total household present are 136

Step-by-step explanation:

Given:

82.1% of Cincinnati households have a computer.

111.804 households in Cincinnati have a computer.

According to ratio and proportions we have:

let total number of houses be x;

then

(111.804/x)*100=percentage of Cincinnati households having  a computer.    [\(gain/total*100 =gain %\)]

then

(111.804/x)*100=82.1

cross multiplying we have

x=(111.804*100)/82.1

x=136 households  (Round to the nearest whole number.)

so total household present are 136

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Answer:

5/12

Step-by-step explanation:

1/4 + 1/3 =

3/12 + 4/12 =

7/12

12/12 - 7/12 =

5/12

Answer:

27,280metres

Step-by-step explanation:

27*1000m+280

27,280m

Answer:

27280

Step-by-step explanation:

1km = 1000 metres

27km = 27000 metres

27000 + 280 =27280 metres

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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Answer:

x = 7\(\sqrt{2}\)

Step-by-step explanation:

Pytago:

\(7^2 + 7^2 = x^2\\x = \sqrt{7^2 + 7^2} \\x = 7\sqrt{2}\)

Step-by-step explanation:

In a right triangle, you can find the leg of the triangle by using the Pythagorean theorem.

\(a^2+b^2=c^2\)

In this case, we have \(7^2+7^2=c^2\), or

\(c^2=98\)

\(\sqrt{98}\)≅\(9.9\)