What is the area of the shaded region?
O (2577-48) cm²
O (2577-30) cm²
O (25T-24) cm²
O (2577-12) cm²

Answer:

52 miles per hour

Step-by-step explanation:

I think you're missing some info, so this is all I can help with right now

The quadratic function f(x)=2(x+1)^2-8 in standard for and intercept form is 2x^2+4x-6 and (x-1)(x+3).

Given:

f(x) = 2(x+1)^2 - 8

= 2(x^2+1+2x) - 8

= 2x^2 + 2 +4x - 8

= 2x^2+4x-6(standard form)

Intercept form:

= 2x^2+4x-6

= (x-1)(x+3)

x-1 = 0

x = 1

x+3 = 0

x = -3

(1,0) and(-3,0).

Therefore the quadratic function f(x)=2(x+1)^2-8 in standard for and intercept form is 2x^2+4x-6 and (x-1)(x+3).

Learn more about the quadratic function here:

https://brainly.com/question/18958913

#SPJ1

Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

Answer:

-5 and -3 could both work in this situation

Step-by-step explanation

-5 + 4 = -1

| -1 | = 1

-3 + 4 = 1

| 1 | = 1

Step-by-step explanation:

4) d = √(3-1)²+(7-(-1))²

=√2²+8² = √4+64 =√68

5) AD=29

AB =2x+4,BC=2x,CD=x

AD = 2x+4+2x+x

29=2x+4+2x+x

29=5x+4

29-4=5x

x=25/5

x=5

AB =2x+4

=2(5)+4 =14

BD = BC +CD

= 2x+x

=2(5)+5 =15

Answer:

y-32=3(x-5)

Step-by-step explanation:

The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:

If the depth of the water after 5 hours is 32 inches.

The depth is the dependent variable(as its values varies with time) while the time is the independent variable, we can write this as a pair (x,y)=(5, 32).

The point slope form of the equation of a line is of the form: \(y-y_1=m(x-x_1)\\(x_1,y_1)=(5,32), m=3\\$Substituting these values, we obtain:\\y-32=3(x-5)\\This is the equation of the function in point slope form.\)

Answer:

a

Step-by-step explanation:

Given :

⇒ P (Sumit) = 1/2

⇒ P (Sujan) = 1/3

⇒ P (Rakesh) = 1/a

⇒ P (total) = 3/4

============================================================

Solving :

⇒ 1/2 × 1/3 × 1/a = 3/4

⇒ 1/6 × 1/a = 3/4

⇒ 2/12 × 1/a = 9/12

⇒ a = 9/2

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The required interval of the given normal distribution using the empirical rule is [100, 140].

The empirical rule formula (also known as a 68 95 99 rule formula) uses data from a normal distribution to determine the first, second, and third standard deviations, which, respectively, differ from the mean value by 68%, 95%, and 99%. Additionally, it shows that 99.9% of the data fall inside the third standard deviation range (either above or below the mean value). The empirical rule formula is described below with cases that have been resolved.

In the question, we are given that IQ scores for adults aged 20 to 34 years are normally distributed according to N(120, 20), and are asked for the range in which the middle 68% of people in this group score on the test.

N(120, 20) signifies a normal distribution with mean, μ = 120, and the standard deviation, σ = 20.

By the empirical formula, 68% of the data lies within one standard deviation from the mean.

Thus, the required interval is [μ - σ, μ + σ] = [120 - 20, 120 + 20] = [100, 140].

Learn more about the empirical rule at

brainly.com/question/10093236

#SPJ4

The marginal revenue function is the derivative of the revenue function with respect to the quantity x. Since revenue is equal to price times quantity, we can write the revenue function as R(x) = p(x)*x. Therefore, the marginal revenue function is:

dR/dx = dp/dx * x + p(x) * dx/dx

But dx/dx = 1, so we can simplify the above expression as:

dR/dx = dp/dx * x + p(x)

We are given the demand function p(x) = 150 - 80x - 35x^2, so we can find dp/dx by taking the derivative with respect to x:

dp/dx = -80 - 70x

Substituting this into the expression for the marginal revenue function, we get:

dR/dx = (-80 - 70x) * x + (150 - 80x - 35x^2)

Simplifying this expression, we get:

dR/dx = -35x^2 - 10x + 150

Therefore, the marginal revenue function is:

a) Odr/dx = 150x – 35x3 is not correct

b) Odr/dx = 150 – 160x – 105x2 is not correct

c) Odr/dx = 1650 - 700x2 – 35x3 is not correct

d) Odr/dx = 1800x - 700x2 is not correct

The correct answer is:

dR/dx = -35x^2 - 10x + 150

Learn more about marginal revenue function here:

https://brainly.com/question/16965973

#SPJ11

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

#SPJ4

Learn more on

https://brainly.com/question/14391417

F type connector

Learn more about wire here

https://brainly.com/question/15246898

#SPJ4

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.

Answer: 7596

Step-by-step explanation:

3.8%x7=26.6%

6000x26.6%=1596

6000+1596=7596

Answer:

20

Step-by-step explanation:

28 - {8/2 x (6-2)} + (4 - 2) ^ 3

28 - {4 x 4} + 2^3

28 - 16 + 8

12 + 8                

20

I think this is one of those trick questions!

I'm going to say the answer is... 90°

because it states within the question that ∠A and ∠B are vertical angles

That is my educated guess. I hope it's helpful!

Pls let me know if my answer is incorrect.

Answer:

-7x + 6

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer: 26

Step-by-step explanation: When rounding you have to look and see if your number is above or below 5. Let's take your number for example.

25.9

Focus on the decimal point. If you notice, the number after the decimal point is above 5, therefore you should round it off to 26.

Hope it helps ^^

Answer:

Step-by-step explanation:

Para determinar las dimensiones del piso, debemos considerar la cantidad de baldosas y las dimensiones de cada una. Sabemos que hay 50 baldosas disponibles y que cada una tiene un tamaño de 20x25 cm.

Si multiplicamos el número de baldosas por las dimensiones de cada baldosa, obtendremos el área total que cubren las baldosas en el piso.

50 baldosas * (20 cm * 25 cm) = 50 * 500 cm² = 25000 cm²

El área total que cubren las baldosas es de 25000 cm². Para encontrar las dimensiones del piso, necesitamos determinar las dimensiones de un rectángulo cuyo área sea igual a 25000 cm².

Podemos factorizar 25000 para encontrar sus dimensiones de manera más sencilla. La factorización puede variar, pero en este caso, se puede descomponer en:

25000 = 250 * 100 = 25 * 10 * 100 = 5 * 5 * 2 * 10 * 100

Podemos agrupar estos factores para obtener un rectángulo con dimensiones proporcionales:

5 * 5 = 25

2 * 10 = 20

100 = 100

Por lo tanto, las dimensiones del piso son 25 cm de ancho por 20 cm de largo.

Para visualizar esto en una gráfica, podemos representar el piso como un rectángulo con las dimensiones calculadas de 25 cm x 20 cm.

Answer:

he easiest way is: y=ax2+bx+c. axis on symmetry is: aos=−b2a. Vertex is: (aos,f(aos)). c = y-intercept. so your function: y=x2−4x.

Step-by-step explanation:

The recurrence interval for the second largest flood on the Bow River in 1932 is approximately 1.0106 years. The probability of a flood with a discharge of 1,520 m3/s occurring next year is roughly 98.95%. When examining the 100-year trend of peak discharges, excluding major floods, there is likely a general pattern of fluctuations but with overall stability in typical peak discharge values.

Using the provided data on the highest discharge per year on the Bow River at Calgary, Canada, we can calculate the recurrence interval (R) for specific flood magnitudes and determine the probability of such floods occurring in the future. Additionally, we can examine the 100-year trend for floods on the Bow River, excluding major floods, to identify the general trend of peak discharges over time.

1) Calculating the Recurrence Interval for the Second Largest Flood (1,520 m3/s in 1932):

To calculate the recurrence interval (R) for the second largest flood, we need to determine the rank of that flood. Since there are 95 data points in total, the rank of the second largest flood would be 94 (as the largest flood, in 2013, is excluded). Applying the formula R = (n + 1) / r, we have:

R = (95 + 1) / 94 = 1.0106 years

Therefore, the recurrence interval for the second largest flood (1,520 m3/s in 1932) is approximately 1.0106 years.

2) Probability of a Flood of 1,520 m3/s Occurring Next Year:

The probability of a flood of 1,520 m3/s happening next year can be calculated by taking the reciprocal of the recurrence interval for that flood. Using the previously calculated recurrence interval of 1.0106 years, we can determine the probability:

Probability = 1 / R = 1 / 1.0106 = 0.9895 or 98.95%

Thus, the probability of a flood of 1,520 m3/s occurring next year is approximately 98.95%.

3) Examination of the 100-Year Trend for Floods on the Bow River:

To analyze the 100-year trend for floods on the Bow River while excluding major floods, we focus on the peak discharges over time. Without considering the labeled major floods, we can observe the general trend of peak discharges.

Unfortunately, without specific data on the peak discharges for each year, we cannot provide a detailed analysis of the 100-year trend. However, by excluding major floods, it is likely that the general trend of peak discharges over time would show fluctuations and variations but with a relatively stable pattern. This implies that while individual flood events may vary, there might be an underlying consistency in terms of typical peak discharges over the 100-year period.

In summary, the recurrence interval for the second largest flood on the Bow River in 1932 is approximately 1.0106 years. The probability of a flood with a discharge of 1,520 m3/s occurring next year is roughly 98.95%. When examining the 100-year trend of peak discharges, excluding major floods, there is likely a general pattern of fluctuations but with overall stability in typical peak discharge values.

Learn more about probability here

https://brainly.com/question/25839839

#SPJ11

The probability of selecting a jack, replacing the card, and then selecting a king is 1/169

In a standard deck of cards, we have:

Total = 52

Jack = 4

King = 4

The probability of each is:

P(Jack) = 4/52

P(King) = 4/52

So, we have:

P = 4/52 * 4/52

Simplify

P = 1/13 * 1/13

Evaluate

P = 1/169

Hence, the probability is 1/169

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Answer: K

Step-by-step explanation:

Answer:

Step-by-step explanation:

k

Answer:

26²

Step-by-step explanation:

26 x 26 = 676

Step-by-step explanation:

Hope it will help you a lot.

The graph of the line of the proportional relationship  is added as an attachment and the unit rate of change of d with respect to t is 8/3

From the question, we have the following parameters that can be used in our computation:

The statement is given as:

increase of 3 units in t corresponds to an increase of 4 units in d.

This can be represented using the following ratio

t : d = 3 : 4

Express the above ratio as a fraction

So, we have the following representation

t/d = 3/4

Make d the subject of the equation

So, we have

d = 4/3t

See attachment for the graph of d = 4/3t

In part (a) of this solution, we have:

t/d = 3/4

Inverse both sides

d/t = 4/3

This means that:

Slope or Rate = 4/3

Hence, the unit rate of change of d with respect to t is 4/3

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

I hope this helps you

The value of the inequality X + 3 < 6 is x < 3.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Based on the information given, the inequality will be illustrated thus:

x + 3 < 6

Collect like terms

x < 6 - 3

x < 3

The value is x < 3.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

The {x} - intercepts and {y} - intercepts for the given tables are mentioned below.

An intercept is the coordinate point where the graph cuts the {x} - axis or {y} - axis.

Given are the tables as shown in the image.

{ 1 } -

{x} - intercept : (3, 0)

{y} - intercept : (0, 16)

{ 2 } -

{x} - intercept : (1, 0)

{y} - intercept : (0, - 2.5)

{ 3 } -

{x} - intercept : (8, 0)

{y} - intercept : (0, - 16)

Therefore, the {x} - intercepts and {y} - intercepts for the given tables are mentioned above.

To solve more questions on intercepts, visit the link below -

brainly.com/question/25384702

#SPJ1