How many minutes are in
34 hours?

Answer:

B. X= 5 + 3i

5 + 3i

Step-by-step explanation:

We are given the quadratic equation

x² - 10x = -34

x² - 10x + 34 = 0

Using Almighty formula

x = -b ± √b² - 4ac/2a

When given equation: ax² + bx + c

Where: a = 1, b = -10 , c = 34

x = -10 ± √-10² - 4 × 1 × 34/2 × 1

x = 10 ± √100 - 136/2

x = 10 ± √-36 /2

x = 10/2 ±. √-36/2

x = 5 ± 6i /2

x = 5 ± 3i

Hence: the roots of the equation are:

x = 5 - 3i , x = 5 + 3i

The antiderivative of sin is -cos(x) + C.

The antiderivative of a function is the inverse operation of differentiation which is is also known as its indefinite integral.

So, the integral of sin

                 ∫sin(x) = -cos(x) + C

where C = constant of integration.

This can be verified by differentiating -cos(x) + C with respect to x, which gives sin(x).

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Answer:

d

Step-by-step explanation:

(a)To solve the system of equations, x^2 - y^2 = 16 and x^2 - y = 7, we can use substitution or elimination method to find the values of x and y.

(b) To graph the solution set of the system of inequalities, x^2 - y^2 > 7 and x^2 - y < 0, we need to plot the boundaries and shade the appropriate regions based on the given inequalities.

(a)Let's use the substitution method to solve the system of equations:

From the second equation, we can rewrite it as x^2 = y + 7.

Substituting this value of x^2 in the first equation, we get (y + 7) - y^2 = 16.

Rearranging the equation, we have -y^2 + y + 7 - 16 = 0.

Simplifying further, we get -y^2 + y - 9 = 0.

Now, we can solve this quadratic equation for y by factoring or using the quadratic formula.

After finding the values of y, we can substitute them back into the second equation to find the corresponding values of x.

(b)To graph the solution set, we first graph the boundaries of the inequalities. For x^2 - y^2 > 7, we draw the curve of the equation x^2 - y^2 = 7, which represents a hyperbola. For x^2 - y < 0, we graph the curve of the equation x^2 - y = 0, which represents a parabola opening upwards.

Next, we need to determine which regions satisfy the given inequalities. For x^2 - y^2 > 7, the shaded region lies outside the hyperbola. For x^2 - y < 0, the shaded region lies below the parabola.

By combining the shaded regions of both inequalities, we find the solution set of the system of inequalities. It includes the regions outside the hyperbola and below the parabola. We label the corners of the shaded region to indicate the solution set accurately.

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The perimeter of television is = 100 inches

The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.

let the length be 16x and width be 9x

area given = 576 sq. inches

16x * 9 x = 576

144 \(x^{2}\) = 576

x = 24/12

x = 2

length = 32

width = 18

perimeter = (32 + 18)*2  =100 inches

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Answer:

4

Step-by-step explanation:

y = 4 sin (3x)

The amplitude is the coefficient in front of sin

4 is the amplitude

The last number using synthetic division in the bottom row is the remainder, which is 0 in this case. Therefore, the result of the division is x³ + 6x² + 6.

Polynomial division can be streamlined by using the Synthetic method, particularly when we need to divide the result by a linear factor. Instead of dividing components, it is typically employed to discover polynomial roots or zeroes. Thus, the following is the formal definition of synthetic division:

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

The synthetic division can be set as follows:

1 | 1   5  -6   6  -6

   |    1   6  0   6

   |------------------

   | 1  6  0   6  0

The last number in the bottom row is the remainder, which is 0 in this case. Therefore, the result of the division is x³ + 6x² + 6.

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The height of the building after using proportion is  110.5 ft.

What is proportion ?

The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.

Here House height = 13ft

Shadow of the house height = 20 ft

Shadow of the building height = 170ft

Noe using proportion ,

=> \(\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}\)

=> \(\frac{13}{20} = \frac{x}{170}\)

=> x=\(\frac{13*170}{20}\) =110.5 ft.

Hence the height of the building is 110.5 ft tall.

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Answer:

1/4 of the pie remains

Step-by-step explanation:

family ate = 1/2

Paul ate = 1/4

1/2 + 1/4 = 3/4 eaten

so , 1/4 remains

Answer:

10010110 . 100011₂

Step-by-step explanation:

A real number consists of two parts.

That is, ( 1 ) Integer part     ( 2 ) fractional part

Let us take the given number as an example.

Here, 150 . 55 ←  fractional part

           ↑        

(integer part)

So, to make such a decimal number into a binary number you have to use a method like this.

Let us solve it now.

Integer part

2 |150  

2 |75    - 0

2 | 37   - 1

2 | 18     - 1

2 | 9      - 0

2 | 4       - 1

2 | 2       - 0

2 | 1         - 0

    0         - 1

∴ 150 ⇒ 10010110₂

Fractional part

   | . 55 × 2

 1 | . 10 × 2

0 | . 2 × 2

0 | . 4 × 2

0 | . 8 × 2

 1 | . 6 × 2

 1 | . 2

As this fractional part not getting the zero even we multiply by 2 continuously, we have to write an approximate value for this.

150.55 ⇒ 10010110 . 100011₂

Answer:

Step-by-step explanation:

The statement that correctly compares the values of the 7s in 7.825 and 3.7 is:

The 7s in 7.825 are greater than the 7s in 3.7.

The 7s refer to the units place (the "ones" place) in decimal numbers. In 7.825, the 7s are 7 and in 3.7, the 7s are 7. When comparing the two numbers, we can see that the number 7.825 is greater than 3.7, which means the 7s in 7.825 are greater than the 7s in 3.7.

Answer: im kinda losing brain cells rn

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

x=5

Step-by-step explanation:

3x+1 = 4x -4

Subtract 3x from each side

3x+1-3x = 4x-3x-4

1 = x-4

add 4 to each side

1+4 = x-4+4

5 =x

Answer: x=5

Step-by-step explanation:

3x+1=4x+(-4)

3x+1=4x-4

3x+5=4x

5=x

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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The equation of the line that is perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.

We have to find the equation of a line that is perpendicular to y = 5 and that passes through the point (-7, -5).

y = 5 is a line that is parallel to the x-axis hence, the line perpendicular to it will be parallel to the y-axis.

Also, the line touches (-7,-5) hence, it will touch the line y = 5 at (-7,5).

Hence, the line perpendicular  to y = 5 and that passes through the point (-7, -5)  is x = -7.

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Answer:

7.5 units

Step-by-step explanation:

since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.

distance = | - 2.5 - 5 | = | - 7.5 | = 7.5

or

distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer: 1, 1, 6, 6, 6, 8, 8

Step-by-step explanation:

Median = 6

Mode = 6

please give me a brainliest answer

Answer:

Isosceles triangle

Step-by-step explanation:

Answer: This triangle is a Right Isosceles triangle so you would select B. & D.

Explanation: This triangle isn't equilateral sense the three sides / three angles aren't equal. And isn't scalene sense scalene triangle have no equal sides and no equal angles.

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

c=25m+100

Step-by-step explanation:

since 100 is the initial fee it is the y intercept and it goes up 25 a month so it’s written like c=25m+100

hopes this help please mark brainliest

A. The probability of selecting a defective component on the first attempt is 0.3 or 30%.

B. The probability of selecting a defective component on the second attempt, given that the first component selected was defective, is approximately 0.299 or 29.9%.

C. The probability of selecting two defective components is approximately 0.09 or 9%.

D.  The probability of selecting a non-defective component on the first attempt and a defective component on the second attempt is approximately 0.21 or 21%.

E. The probability of selecting a defective component on the second attempt is approximately 0.329 or 32.9%.

F. The probability of the first component selected being defective, given that the second component selected was defective, is approximately 0.273 or 27.3%.

G. It is not reasonable to treat A and B as though they were independent

a) The probability of drawing a defective component on the first attempt can be calculated as follows:

P(A) = (number of defective components in the lot) / (total number of components in the lot)

P(A) = 300/1000

P(A) = 0.3

Therefore, the probability of selecting a defective component on the first attempt is 0.3 or 30%.

b) The probability of selecting a defective component on the second attempt, given that the first component selected was defective, can be calculated as follows:

P(B|A) = (number of defective components remaining in the lot) / (total number of components remaining in the lot after selecting a defective component on the first attempt)

P(B|A) = 299/999

P(B|A) ≈ 0.299

Therefore, the probability of selecting a defective component on the second attempt, given that the first component selected was defective, is approximately 0.299 or 29.9%.

c) The probability of selecting two defective components can be calculated as follows:

P(A^B) = P(A) * P(B|A)

P(A^B) = 0.3 * 0.299

P(A^B) ≈ 0.09

Therefore, the probability of selecting two defective components is approximately 0.09 or 9%.

d) The probability of selecting a non-defective component on the first attempt and a defective component on the second attempt can be calculated as follows:

P(AC^B) = P(AC) * P(B|AC)

P(AC^B) = (number of non-defective components in the lot / total number of components in the lot) * (number of defective components remaining in the lot after selecting a non-defective component on the first attempt / total number of components remaining in the lot after selecting a non-defective component on the first attempt)

P(AC^B) = (700/1000) * (300/999)

P(AC^B) ≈ 0.21

Therefore, the probability of selecting a non-defective component on the first attempt and a defective component on the second attempt is approximately 0.21 or 21%.

e) The probability of selecting a defective component on the second attempt can be calculated as follows:

P(B) = P(A)*P(B|A) + P(AC)*P(B|AC)

P(B) = 0.3 * 0.299 + 0.7 * 300/999

P(B) ≈ 0.329

Therefore, the probability of selecting a defective component on the second attempt is approximately 0.329 or 32.9%.

f) The probability of the first component selected being defective, given that the second component selected was defective, can be calculated as follows:

P(A|B) = P(A^B) / P(B)

P(A|B) = (0.3 * 0.299) / 0.329

P(A|B) ≈ 0.273

Therefore, the probability of the first component selected being defective, given that the second component selected was defective, is approximately 0.273 or 27.3%.

g) To determine if events A and B are independent, we need to check if the occurrence of one event affects the probability of the other event occurring.

If events A and B are independent, then P(B|A) = P(B). We found that P(B|A) ≈ 0.299 and P(B) ≈ 0.329, which are not equal. Therefore, events A and B are not independent.

It is not reasonable to treat

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The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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