pls follow the steps and show work

Answer:

54

Step-by-step explanation:

There you go bro oh yeah you're welcome

Answer:

The correct option is A,3875  passengers

Step-by-step explanation:

The curve of best fit for the date y=-5x^2+60x+3715

For April which month 4  which means that x is 4

By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport  is determined thus.

y=-5*4^2+(60*4)+3715

y=-5*16+240+3715

y=-80+240+3715=3875

The number of passengers that arrived by flights in April, month 4 is 3875

Answer:

The class in the second and longest bar graph (the one labeled 3) has the most students.

Step-by-step explanation:

When looking for the largest amount of something in bar graphs, the largest bar graph is correct. In this case the second bar graph is the longest, and we can see it indicates the class contains 28 students.

Answer: the answer to this is true

Answer:

\(\pi radians\)

Answer:

4

Step-by-step explanation:

For the first triangle which is triangle <KJL

Hypotenuse= 8✓2

Angle=30°

Opposite = ?

Therefore we will use Sine formula

Sin30° = Y/8✓2

Y=4✓2

For the second triangle which is triangle <JML

Hypotenuse= 4✓2

Opposite=X

Angle=45°

Therefore we will use Sine formula again

Sin45°=X/4✓2

X=4

Answer:

Step-by-step explanation:

ΔJKL is half of equilateral triangle and ΔJML is half of square.

We can use properties of these triangles (picture):

m∠KJL=90° and m∠JKL = 30° ⇒  JL = 0.5KL = 0.5•8√2 = 4√2

m∠JML=90° and m∠MJL = 45° ⇒  JL = ML√2

                                                        4√2 = x√2

                                                             x = 4

Answer:

the answer seems to be A

i) a x 5 = -10i - 10k. ii)  the unit vector in the direction of a is (2/sqrt(33))i - (5/sqrt(33))j - (2/sqrt(33))k. ii) the magnitude of the projection of a in the direction of b is 18 / sqrt(21).

(i) To calculate the vector product of a = 2i - 5j - 2k and 5, we can use the cross product formula:

a x 5 = | i j k |

| 2 -5 -2 |

| 0 5 0 |

Expanding the determinant, we have:

a x 5 = (5 * (-2) - (-2) * 0)i - (0 * 2 - (-2) * 0)j + (0 * (-5) - 5 * 2)k

= (-10)i - 0j - 10k

= -10i - 10k

(ii) To find the unit vector in the direction of vector a = 2i - 5j - 2k, we first need to calculate the magnitude of vector a. The magnitude of a vector given by a = ai + bj + ck is given by:

|a| = sqrt(a^2 + b^2 + c^2)

Substituting the values of a, b, and c from vector a, we have:

|a| = sqrt((2)^2 + (-5)^2 + (-2)^2)

= sqrt(4 + 25 + 4)

= sqrt(33)

The unit vector in the direction of a is given by:

a_hat = (1/|a|) * a

= (1/sqrt(33)) * (2i - 5j - 2k)

= (2/sqrt(33))i - (5/sqrt(33))j - (2/sqrt(33))k.

(iii) To find the magnitude of the projection of a in the direction of b = i - 4j + 2k, we can use the dot product formula. The dot product of two vectors is given by:

a · b = |a| |b| cos(theta)

Where |a| and |b| are the magnitudes of vectors a and b, and theta is the angle between the vectors.

First, we calculate the dot product of ã and b:

a · b = (2 * 1) + (-5 * (-4)) + (-2 * 2)

= 2 + 20 - 4

= 18

Next, we calculate the magnitude of b:

|b| = sqrt(1^2 + (-4)^2 + 2^2)

= sqrt(1 + 16 + 4)

= sqrt(21)

Finally, we can find the magnitude of the projection using the formula:

Magnitude of projection = (ã · b) / |b|

= 18 / sqrt(21)

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Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 + 6x = 9 + 9x - 3x

and

4x - 7 - 2x = 2x - 9

Answer:

the 1st one and last one don't have solutions

Step-by-step explanation:

The 'a' value determines if the parabola opens up or down

If a < 0, then the parabola opens down to form a frown

If a > 0, then the parabola opens upward to form a smile.

The closer 'a' is to zero, the more wide the parabola will be. In contrast, if 'a' is pretty far from zero, then the parabola is more skinny/narrow.

Matrix:\(A = \begin{bmatrix} 2 & 1  \\ 1 & 3   \end{bmatrix}\)

Vector\(b = \begin{bmatrix} 2 \\ 1\end{bmatrix}\)

The solution set of Ax = b is a line in the form of x = tb + s, where t and s are real numbers. This line does not contain the origin (0,0) if the vector b is not the zero vector. For example, if we take A and b as given above, then the solution set of Ax = b is x = tb + s, where t and s are real numbers, which is a line that does not contain the origin, since b is not the zero vector. To calculate, we can use the Gauss-Jordan elimination method to find the reduced row echelon form of A, which is \(matrix\begin{bmatrix} 1 & 0  \\  0 & 1 \end{bmatrix}\).Then, the solution set of Ax = b is \(x = \begin{bmatrix}2 \\ 1\end{bmatrix}\)which is a line that does not contain the origin.

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By solving equations we know that the first and second worked charged $75 and $45 per hour.

So, let's form equations as follows:

Let F (15 hours) be the first worked and S (5 hours) by the second worker, then:

Now, solve further:

The second work charged 45$.

Therefore, by solving equations we know that the first and second worked charged $75 and $45 per hour.

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The inequality which represents is 2x + 3y ≤ 12 where x is the number of daisies and y is the number of tulips.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Suppose the cost of one daisy is x while the cost of one tulip is y.

2x + 3y will be totally spent and it can be almost $12.

2x + 3y ≤ 12

Hence "The inequality which represents is 2x + 3y ≤ 12 where x is the number of daisies and y is the number of tulips.".

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Answer:

Step-by-step explanation:

a.) S(t)=9t-4

   S(4)= 9(4)-4

         =  36-4

   S(4)=32

b.)  S(4) means the number of people who got the flu in 4 days.

c.)  S(t)=23  t=23/s

d.)  I'm not sure on this one. S(t)=23 means 23 people got the flu in t days

e.) Choose values as inputs- these will be your x values, your putput will be the y.

I think I did this right, Hope this helps :)

Answer:

A is equivalent

Step-by-step explanation:

Answer:

A: 3b + 2a + 5c

Step-by-step explanation:

The width is 5 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

length = width + 1

let the width be x

length= x+ 1

So, area of rectangle= l x w

30 = x( x+ 1)

x² + x - 30=0

x² + 6x - 5x - 30=0

x( x+ 6) - 5(x +6)= 0

(x+ 6)( x- 5)= 0

x= -6 or 5

Hence, the width is 5 units.

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The expression which uses the commutative property to make it easier to evaluate (-3/4)x1/5x(-16) is (-3/4)x(-16)x1/5) which is therefore denoted as option A.

This states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.

In the expression (-3/4)x1/5x(-16) , there is the need to arrange them so as to make it easier for them to be reduced to their lowest factor which is why -16 was put close to the  (-3/4).

(-3/4)x(-16)x1/5 = 12 × 1/5 =  12/5

This is therefore the reason why option A was chosen as the correct choice.

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Answer:

3/5

Step-by-step explanation:

1/5 + 1/5 + 1/5 is 3/5

add the 1 three times then don't add the denominator because it wont change in addition

Answer: 6/10

Step-by-step explanation:

1/5+1/5+1/5=3/5

3/5=6/10

Answer:

12

Step-by-step explanation:

for a right triangle you fist need to find a key 8-4=4 meaning your key is 4 add 4 to 8 resulting you in 12 in conclusion your answer is 12

Answer:

50 Fahrenheit (F) 10 Celsius (C)

1 F = -17.222 C 1 C = 33.800 F

Answer:

50 Fahrenheit (F) 10 Celsius (C)

1 F = -17.222 C 1 C = 33.800 F

The equation 3y + 7 = x does not represent a direct proportion.

The constant of proportionality is a value that describes the relationship between two variables in a proportional relationship. For example, if y is proportional to x, and y = 2 when x = 4, then the constant of proportionality would be 0.5 (since 2/4 = 0.5). The constant of proportionality is often represented by the letter "k".

A direct proportion is a relationship between two variables where their ratio is always constant.

In the equation, 3y + 7 = x, the relationship between x and y is not fixed, so it does not represent a direct proportion.

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Answer:

65°

Step-by-step explanation:

The probability that Jamal will be going to work tomorrow is approximately 0.06587.

Based on the given information, we can use the normal distribution to calculate the probability. The average commute time is 30.0 minutes with a standard deviation of 5.0 minutes. Jamal needs to reach his destination in 25.0 minutes, which is 5.0 minutes earlier than the average commute time.

To calculate the probability, we need to find the area under the normal curve to the left of Jamal's required time of 25.0 minutes. Using the z-score formula (z = (x - μ) / σ) and substituting the values, we find that Jamal's z-score is -1.

By referring to a standard normal distribution table or using statistical software, we can find that the probability of obtaining a z-score of -1 or less is approximately 0.1587. However, we want the probability to the left of the z-score, so we subtract this value from 0.5 to get 0.3413.

Therefore, the probability that Jamal will be late for his meeting is approximately 0.3413. Consequently, the probability that Jamal will be going to work tomorrow is 1 minus this probability, which is approximately 1 - 0.3413 = 0.6587 or 0.06587 (rounded to four decimal places) as a decimal.

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Answer:

pie

Step-by-step explanation:

Remember that

the area of the circle is

A=pi*(r^2)

we have

r=9.2/2=4.6 m ------> the radius is half the diameter

substitute

A=pi*(4.6^2)

using a calculator

(Note: the value of pi is the value that appear in the calculator)

The table that represents the two-column table for the data in this problem is given by the image shown at the end of the answer.

As the own name of the table says, the two-column table is composed by two-columns.

The columns of the table are defined as follows:

The input and the output variables for this problem are given as follows:

Then the table is composed by four rows, as follows:

Time (minutes) - Number of pages

25                     - 36

63                     - 48

74.5                  - 52

Which is illustrated on the image shown at the end of the answer.

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Answer:

21.50

Step-by-step explanation:

Let C = cost before markup

1.25 C = 26.88

C = 26.88/1.25 = 21.50

The error that Maria likely make is that she subtracted 1n from 5n.

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The value of the expression will be:

= -4n +3+9n-4

= 5n - 1

The error was because 1n was minus from 5n

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Answer:

2✓3

Step-by-step explanation:

it's a special triangle, so just take 6 divided by ✓3 and you'll get 2✓3.