8.4 km/min into km/h​

Given that each term has a common difference, this is an arithmetic sequence as per the explicit formula that generates this sequence.

In this instance, the next word in the sequence is obtained by adding 2 to the previous term. To put it another way, a n = a 1 + d (n – 1) This is the arithmetic sequence’s formula.

Firstly, we have to find the initial phrase in a given series. Thereafter we have to find the shared difference between the following phrases in the sequence. For an explicit rule, replace the general form with the first term and common difference.

The distance between succeeding terms in an arithmetic series is always the same.

The difference between consecutive terms in the sequence 3, 5, 7, 9…, for instance, is an example of an arithmetic sequence.

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Answer:

Random Sample

Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

We want to find the value of x.

Since this is a right triangle, we can use trig functions.

We know the opposite side from 70 degrees and we want to find the adjacents side, so we will use tangent

tan 70 = opp side /adj side

tan 70 = 12 /x

x tan 70 = 12

x = 12 / tan 70

x=4.36764

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

The probability that a vehicle was a light truck, manufactured by u.s. manufacturers, is 0.5661

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Given that, the automobile industry sold 657,000 vehicles in the United States during January 2009 (The Wall Street Journal, February 4, 2009). This volume was down 37% from January 2008 as economic conditions continued to decline. The Big Three U.S. automakers—General Motors, Ford, and Chrysler—sold 280,500 vehicles, down 48% from January 2008.

We need to find the probability that a vehicle was a light truck, manufactured by u.s. manufacturers,

Probability(Event) = Favorable Outcomes / Total Outcomes

Favorable Outcomes = US manufactured light truck (193.1)

Total Outcomes = Total light trucks manufactured (341.1)

Probability that a vehicle was a light truck, manufactured by u.s. manufacturers =

P(Light Truck & US) = 193.1/341.1 = 0.5661

Hence, the probability that a vehicle was a light truck, manufactured by u.s. manufacturers is 0.5661

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The complete question is

The automobile industry sold 657,000 vehicles in the United States during January 2009 (The Wall Street Journal, February 4, 2009). This volume was down 37% from January 2008 as economic conditions continued to decline. The Big Three U.S. automakers—General Motors, Ford, and Chrysler—sold 280,500 vehicles, down 48% from January 2008. A summary of sales by automobile manufacturer and type of vehicle sold is shown in the following table. Data are in thousands of vehicles. The non-U.S. manufacturers are led by Toyota, Honda, and Nissan. The category Light Truck includes pickup, minivan, SUV, and crossover models.

Type of Vehicle

Car

Light Truck

Total

U.S

87.40

193.10

280.50

Manufacturer

Non-U.S

228.50

148.00

376.50

Total

315.90

341.10

657.00

True, the standard deviation is a resistant measure of spread.

The standard deviation is calculated as the square root of the variance of the data set. Variance is calculated as the average of the squared differences between each data point and the mean of the data set. The standard deviation is the square root of this average.

In mathematical terms, the standard deviation can be calculated using the following formula:

σ = √(1/n ∑(x - μ)²)

Where σ is the standard deviation, n is the number of data points in the data set, x is the value of the i-th data point, and μ is the mean of the data set.

The standard deviation is an important measure because it gives an idea of how much the individual values in a data set differ from the mean.

In summary, the standard deviation is a resistant measure of spread because it gives a robust measure of the spread of the data in a set and is not easily influenced by outliers or extreme values.

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Examine one full set:

12/8

simplify

3/2

filling in

3  2

9  6

12  8

18  12

The limit of the given sequence can be determined by examining the behavior of the terms as n approaches infinity.

In this case, the sequence involves the alternating sign (-1)^n and the exponential term 10^n / (9^n + 1). By analyzing the growth rates of the numerator and denominator, we can conclude that the sequence diverges as n approaches infinity. To find the limit of the sequence as n approaches infinity, we can examine the behavior of the terms. The numerator, (-1)^n * 10^n, alternates between positive and negative values as n increases. The denominator, 9^n + 1, grows exponentially faster than the numerator.

As a result, the terms of the sequence oscillate between positive and negative values, but the magnitude of the terms increases exponentially. Since the terms do not approach a finite value or converge to zero, we conclude that the sequence diverges as n approaches infinity. In other words, the limit of the sequence does not exist. It is important to note that the alternating sign and the exponential growth in the terms prevent the sequence from converging to a specific value.

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The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Answer:

Step-by-step explanation:

\(\sqrt[3]{\frac{0.008}{0.125} }\\ =\sqrt[3]{\frac{8}{125} }\\ = \frac{2}{5}\)

90 mm Hg is Zigg's mean arterial pressure.

Here's the formula for calculating MAP: MAP = (CO x SVR) + CVPR

where:

CO stands for cardiac output (measured in liters per minute).

SVR stands for systemic vascular resistance (measured in mm Hg/L/min).

CVPR stands for central venous pressure (measured in mm Hg).

Now, let's get started with the calculation of MAP.

First, let's calculate CO (cardiac output): CO = HR x SV

where:

HR is heart rate (measured in beats per minute).

SV is stroke volume (measured in milliliters per beat).

CO = 140 bpm x 95 mlCO = 13300 ml/minCO = 13.3 L/min

Next, we need to calculate SVR (systemic vascular resistance).

The formula for calculating SVR is: SVR = (MAP - CVP) / CO

where:

MAP is mean arterial pressure (measured in mm Hg).

CVP is central venous pressure (measured in mm Hg).

CO is cardiac output (measured in liters per minute).

Since we don't have CVP in this question, let's assume it to be zero.

SVR = (MAP - 0) / 13.3 L/minSVR = MAP / 13.3 L/min

Now, we can rearrange the above equation to calculate

MAP:

MAP = SVR x 13.3 L/minMAP = 60 mm Hg (diastolic pressure) + 1/3 (systolic pressure - diastolic pressure)MAP = 60 mm Hg + 1/3 (150 mm Hg - 60 mm Hg)MAP = 60 mm Hg + 30 mm HgMAP = 90 mm Hg

Therefore, Ziggy's mean arterial pressure (MAP) is 90 mm Hg.

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Answer: Most likely it is A

Step-by-step explanation:

Although it should be B, because a non linear function doesn't  have a rate of change. I already looked up this question many times so we know It's NOT C.

The best modeled by a nonlinear function with time as the independent variable is:

The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.

A nonlinear function is one that does not follow a straight line.

In this case, t

A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.

B) describes a constant value, which is a special case of a linear function where there is no change over time.

C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.

D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.

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Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% \(\cdot35\).

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, \(\frac{5}{100}\). Multiplying by 35 gets us \(\frac{5}{100}\cdot35\)

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is \(\frac{5}{100}\). This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us \(0.05\cdot35\), so choice D works too.

Hope this helped!

Answer:

Step-by-step explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

\( \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} \)

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you

Answer: R = (-8, 20)

Step-by-step explanation:

Given that :

M is the midpoint of RS

M = (-4, 5)

S = (0, - 10)

NOTE :

midpoint, M equals

Mx = (Rx + Sx) / 2

My = (Ry + Sy) / 2

Mx = - 4, Sx = 0, My = 5, Sy = - 10

Mx = (Rx + Sx) / 2

-4 = (Rx + 0) / 2

-8 = Rx + 0

Rx = - 8

My = (Ry + Sy) / 2

5 = (Ry + (-10)) / 2

10 = Ry - 10

10 + 10 = Ry

Ry = 20

Hence, coordinates of R = - 8 and 20

R = (-8, 20)

Answer:

After 3 years you will get 23820.32rs.

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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Answer:

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

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

y = 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )

m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 7 )

7 = 2(1) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = 2x + 5 ← equation of line

Answer:

\(\dfrac{3}{85}\)

Step-by-step explanation:

It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.

Total number of entries = 85

Total number of gift baskets = 3

We need to find the probability of winning a gift basket.

\(\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}\)

\(\text{required probability}=\dfrac{3}{85}\)

Therefore, the required probability is \(\dfrac{3}{85}\).

Answer:

7

Step-by-step explanation:

(a squared) plus (b squared) equals (c squared)

(6 squared) plus (4 squared) equals (c squared)

36+16=c squared

c equals 7

Answer:

7.21 blks

Step-by-step explanation:

Pythag theorem

a^2  + b^2 = c^2

6^2 + 4^2 = c^2

52 = c^2

c = sqrt 52 = 7.21 blcks

Mr musa since the servant to the market to buy orange is 15 naira the servants have eaten three oranges on the way ,mr musa a 25 cover orange more than the market price. Hence 12 be number of oranges mr musa received.

Two or more expressions with an equal sign is called as equation.

Let market price be M

(M+0.25)x=15

Oranges brought=15M

Servent ate 15M-3=x

15M=x+3

Divide both sides by 15.

M=(x+3)/15

((x+3)/15+1/4)x=15

Calculate the LCM and solve

(4x+12+15)x/60=15

Apply cross multiplication

4x²+27x=900

4x²+27x-900=0

By solving it we get x=12

Hence 12  be number of oranges mr musa received.

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Answer:

x=3

Step-by-step explanation:

2x/3−x/10=17/10

Multiply each side by 30 to get rid of the fractions

30( 2x/3−x/10)=(17/10)*30

Distribute

20x -3x = 51

Combine like terms

17x = 51

Divide by 17

17x/17 = 51/17

x=3

Answer:

4096

Step-by-step explanation:

Math

Answer:

segments AB and EF

Step-by-step explanation:

both are equal 5 units

i took the quiz and got it right :)

Answer:

x=12 is the answer to this question