Evalute 2 (a - 5) + 2, if a = 15
O 14
0 27
O 22
07

9514 1404 393

Answer:

  y = -17/6x -7/3

Step-by-step explanation:

The 2-point form of the equation for a line can be a useful place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-8 -9)/(2-(-4))(x -(-4)) +9

  y = -17/6(x +4) +9 . . . . . simplify a bit

  y = -17/6x -11 1/3 +9 . . . eliminate parentheses

  y = -17/6x -7/3 . . . . . . . collect terms

Answer:

please mark my answer brainliest

Step-by-step explanation:

no...because it extends to infinity from one side

The function h(x) in its simplest form is \(h(x) = 4log_2(x)- 2\)

The functions are given as:

\(f(x) = log_2(x) + 2\)

\(g(x) = log_2(x^3) - 4\)

This is given as:

\(h(x) = f(x) + g(x)\)

So, we have:

\(h(x) = log_2(x) + 2 + log_2(x^3) - 4\)

Collect like terns

\(h(x) = log_2(x) + log_2(x^3)+ 2 - 4\)

\(h(x) = log_2(x) + log_2(x^3)- 2\)

Apply law of logarithm

\(h(x) = log_2(x \times x^3)- 2\)

\(h(x) = log_2(x^4)- 2\)

Apply law of logarithm

\(h(x) = 4log_2(x)- 2\)

Hence, function h(x) in its simplest form is \(h(x) = 4log_2(x)- 2\)

The equations are not given.

So, the question cannot be solved

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Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.

The three typical measures of center are the mean, the median, and the mode.

The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.

The median is the middle value of the data set arranged in descending or ascending order.

The mode refers to the value that occurs most in the data set.

66 66 66 = 198

63 63 63 = 189

65 65 65 = 195

64 64 64 = 192

58 58 58 = 174

Total =      948

Mean = 63.2 (948 ÷ 15)

Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)

62 69 65 = 196

68 60 70 = 198

70 58 67 = 195

66 75 70 = 211

69 67 60 = 196

Total = 996

Mean = 66.4 (996 ÷ 15)

Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)

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Water bankruptcy is associated with the problems among the beneficiaries whose demands are more than the total available water.

It should be noted that water simply means a colorless and odorless liquid that is the basis of living organisms. The limited water supply has led to water resources bankruptcy which is the failure of water to meet the imposed demand by users.

The people who will benefit in water bankruptcy are the people whose needs weren't met by the available water.

An alternative way in which a water shortage problem can be resolved is the recycling of waste water and rainwater harvesting.

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The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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Answer:

x³²

Step-by-step explanation:

When raising exponents to another power, multiply the exponents given.

That means that:

(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer: 28x-2

Step-by-step explanation:

First, you get rid of the parentheses. Since the symbol is +, nothing really changes: 12x - 3 + 16x +1

Then, you combine like terms to get your answer: 28x-2

Answer:

28x−2

Step-by-step explanation:

Combine 12x and 16x to get 28x.

28x−3+1

Add −3 and 1 to get −2.

28x−2

28x−2

Factor out 2.

2(14x−1)

Answer:

-9

Step-by-step explanation:

- 2 + ( - 7 )

- 2 - 7 = -9 ( Answer)

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

8.2

Step-by-step explanation:

(4.5)^2+(6.9)^2=c^2

20.25+47.61=67.86

sqrt of 67.86= 8.2 (rounded already) :)

Step-by-step explanation:

1. 35 + 65

2. y - 14

3. (6 x s) - 3

4. 10(x+8.5).. 6-p

The laplace transform of f(t) is

F (s) =  2/s³ - 2e^{-2s}/s³ + e^{-2s}/s²  + 2e^{-2s}/s  -  3e^{-3s}/s²  + 7e^{-3s}/s

Since f(t) = t² 0 < t < 2,

= t - 1 for 2 < t < 3 and

= 7 for t > 3

Since f(t) has discontinuities at t = 0, t = 2, t = 3, expressing f(t) in terms of unit step, we have

t² = t²u(t) - t²u(t - 2)

t - 1 = (t - 1)u(t - 2) - (t - 1)u(t - 3)

=  (t - 1 + 1 - 1)u(t - 2) - [(t - 1 + 3 - 3)u(t - 3)]

=  (t - 2 + 1)u(t - 2) - [(t - 3 + 2)u(t - 3)]

= (t - 2)u(t - 2) + u(t - 2) - (t - 3)u(t - 3) + 2u(t - 3)

f(t) = 7 = 7u(t - 3)

So, f(t) =  t²u(t) - t²u(t - 2) + (t - 2)u(t - 2) + u(t - 2) - (t - 3)u(t - 3) - 2u(t - 3) +  7u(t - 3)

\(L[u(t - c)f(t - c)}] = e^{-cs} F(s)\)

and \(L[t^{n}] = \frac{n!}{s^{n + 1} }\)

Taking the laplace transform, we have

L{f(t)} = L{t²u(t)} - L{t²u(t - 2)} + L{(t - 2)u(t - 2)} + L{u(t - 2)} - L{(t - 3)u(t - 3)} - L{2u(t - 3)} +  L{7u(t - 3)}

\(F(s) = \frac{2!}{s^{3} } - \frac{e^{-2s} 2!}{s^{3} } + \frac{e^{-2s} 1!}{s^{2} } + \frac{e^{-2s} 1!}{s } - \frac{e^{-3s} 1!}{s^{2} } - \frac{2e^{-3s} 1!}{s^{2} } + \frac{7e^{-3s} 1!}{s} \\= \frac{2!}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{e^{-3s}}{s^{2} } - \frac{2e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)

\(F (s) = \frac{2}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{e^{-3s}}{s^{2} } - \frac{2e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)

So, the laplace transform of f(t) is \(F (s) = \frac{2}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{3e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)

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Answer:

2 1/6

Step-by-step explanation:

find common denominator: 12

11/12

1/2=6/12

3/4=9/12

add:

11/12+6/12+9/12=26/12

simplify:

26/12=13/6=2 1/6

hopefully this helps :)

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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If you travel for three hours at a speed of 30 km/hr, you will go a distance of 90 km.

Speed is the rate of change of an object position relative to a given frame of reference. It is a scalar quantity meaning it has both magnitude and direction. Speed is usually measured in meters per second.

The distance travelled can be calculated by multiplying the speed of 30 km/hr by the number of hours travelled, which is 3. Therefore, the distance travelled is 90 km. To summarize, if you travel for three hours at a speed of 30 km/hr, you will go a distance of 90 km.

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Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Step-by-step explanation:

inside diameter = 11/2 - 3/16 = 85/16 or 5.3125 inches

Topic: fractions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

2.28%

Step-by-step explanation:

P(X > 70) = 1 - Ф((70 - 50)/10) = 0.0228 = 2.28%

Answer:

Option B is the correct option.

Here,

Adjacent=15

Hypotenuse=17

Now,

\(cos \: theta = \frac{adjacent}{hypotenuse} \\ cos \: 28 = \frac{15}{17} \)

Hope this helps..

Good luck on your assignment..

Answer:

B. 15/17

Step-by-step explanation:

(see attached graphic for reference)

Because we have a right triangle (i.e one of the internal angles is 90 degrees), we can use trigonometry to solve

from the diagram, we can see that

cos 28° = adjacent length / hypotenuse

we can also see that the length adjacent to 28° = 15 units and the hypotenuse is 17 units,

hence, substituting these values into the equation:

cos 28° = 15 / 17   (answer)

edit: typo

Answer:

x intercept: (-8,0)

y intercept: (0,2)

From the question, we've been given the perimeter of the rectangular garden to be 36ft and we're told that the length is 6 less than twice the width of the garden

The graph of the function f(x) = 4(2/3)^x is added as an attachment

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

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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Answer:

Step-by-step explanation:

40·(3/4)= 10·3= 30 boys are Bible students.

Answer:

The answer would be 30 boys

Step-by-step explanation:

you would divise 40 by 4 which equals 10 and then 10x3=30 and then that would be the andwer to the problem of yours

Answer:

14 2/3 is the asnwer

Step-by-step explanation:

Answer:

x+19

Step-by-step explanation:

3x+12 - 2x+7 = x+19

Answer:

x-19

Step-by-step explanation:

expand the brackets

3x+12-2x-7

3x-2x-12-7

x-19