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AVprozaik [17]
3 years ago
9

Need help fast!!!!!!!!!!!!!!!

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

k(3)=13(3)-2

k(3)= 39-2

Answer is k(3)= 37

Anuta_ua [19.1K]3 years ago
6 0

ANSWER

k(3) = 37

EXPLANATION

The given expression is

k(t) = 13t - 2

We want to find k(3).

We substitute t=3 into the expression to get:

k(3) = 13(3) - 2

We multiply out to get,

k(3) = 39- 2

Simplify to get,

k(3) = 37

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A motorist travelled 300 km
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Answer:

Step-by-step explanation:

Total distance /total time=total speed

600÷60=10hrs

300÷75=4hrs

I0-4=6

V=300÷6=50km/h

7 0
3 years ago
Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
3 0
3 years ago
The population in the current year is 31.5 million and the real GDP is $814 million. The previous year's statistics were a popul
andrew11 [14]

Answer:

The change in the standard of living, measured by growth in real GDP per person, is 0.1356%

Step-by-step explanation:

Given,

In the current year,

Population = 31.5 million,

Real GDP = $814 million,

So, the real GDP per person = \frac{814}{31.5} ≈ 25.841

In the previous year,

Population = 31 million,

Real GDP = $800 million,

So, the real GDP per person = \frac{800}{31} ≈  25.806

Hence, change percentage = \frac{\text{Change in GDP per person}}{\text{Previous year GDP per person}}\times 100

=\frac{25.841-25.806}{25.806}\times 100

=\frac{0.035}{25.806}\times 100

=\frac{3.5}{25.806}

≈ 0.1356 %

5 0
3 years ago
A survey of students' favorite sports was taken from a random sample of
White raven [17]

Answer:

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Step-by-step explanation:

Considering the survey to be representative, you can simply multiply the share of students <em>p</em> preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.

First we need to find the relative share <em>p</em> of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:

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Then for the whole school we get 550 <em>p</em> ≈ 129.4

6 0
3 years ago
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Julli [10]

Answer:

D

Step-by-step explanation:

when there are exponents with same bases multiplied by each other, keep the base and add the exponents

4^(3)+4^(5)=4^8

4^8 is D in this question

7 0
3 years ago
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