Using the slope-intercept form to graph the equation y=-8/9 times + 4

Answer:

the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

the doubling time [tex]{t = 0.138629 \ years}[/tex]

Step-by-step explanation:

From the information we are being provided with:

The quantity P i.e [tex]P(t) = e ^{5t}[/tex]

In order to determine the time at which P = 15, we have the following:

[tex]t= t_o[/tex]    when P = 15

∴ [tex]e^{5t_o} = 15[/tex]

[tex]5t_o= In (15)[/tex]

[tex]t_o = \dfrac{1}{5}In 15[/tex]

[tex]t_o = \dfrac{1}{5} \times 2.70805[/tex]

[tex]{t_o = 0.54161 \ years}[/tex]

Hence, the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

In order to determine the time at which P = 20, we have the following:

[tex]t= t_1[/tex]    when P = 20

∴ [tex]e^{5t_1} = 20[/tex]

[tex]5t_1= In (20)[/tex]

[tex]t_1= \dfrac{1}{5}In (20)[/tex]

[tex]t_1 = \dfrac{1}{5} \times 2.9957[/tex]

[tex]{t_1 = 0.59914 \ years}[/tex]

Hence, the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

The doubling time at t = 0, mean P = 2

∴ [tex]e^{5t} = 2[/tex]

[tex]5t= In (2)[/tex]

[tex]t= \dfrac{1}{5}In(2)[/tex]

[tex]t = \dfrac{1}{5} \times0.693147[/tex]

[tex]{t = 0.138629 \ years}[/tex]

Hence, the doubling time [tex]{t = 0.138629 \ years}[/tex]

Answer:

Its b

Step-by-step explanation:

I did the unit test

Answer:

1.0 x 10⁵

Step-by-step explanation:

10,000 • 10 = 100,000

= 1.0 x 10⁵

Answer:

x = 8

Step-by-step explanation:

3+x/8=4

We move all terms to the left:

3+x/8-(4)=0

We add all the numbers together, and all the variables

x/8-1=0

We multiply all the terms by the denominator

 x-1*8=0

We add all the numbers together, and all the variables

x-8=0

We move all terms containing x to the left, all other terms to the right

x=8

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▹ Answer

37

▹ Step-by-Step Explanation

Plug in 4 for z:

10(4) = 40

Subtract:

40 - 3 = 37

Hope this helps!

CloutAnswers ❁

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Answer:

where is the graph

Step-by-step explanation:

Answer:

Answer:

x=y

Step-by-step explanation:

Collect Like terms from 2x+3y=5y

Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)

2x=5y-3y

Simplify

2x=2y

Simplify

x=y

Steps to solve:

-6 + 2[6 + 4((-3)^2 - 7)]

~Solve exponent

-6 + 2[6 + 4(9 - 7)]

~Solve whats in parenthesis

-6 + 2[6 + 4(2)]

~Multiply

-6 + 2[6 + 8]

~Add

-6 + 2[14]

~Multiply

-6 + 28

~Add

22

Best of Luck!

Answer:

A=5

b=9

c=32

Step-by-step explanation:

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

An equation is an expression that shows the relationship between two or more number and variables.

Here, we have,

Given the equation:

y = 2.69x - 7.95

When x = 3:

y = 2.69(3) - 7.95 = 0.12

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

Find out more on equation at:

brainly.com/question/2972832

#SPJ2

complete question;

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.

A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5.1, negative 3.2, 1.0, 2.3, 5.6.

What is the residual value when x = 3?

–0.88

–0.12

0.12

0.88

Answer:

15

Step-by-step explanation:

20-5=15

Answer:

x = -7, +3

Step-by-step explanation:

x² - 25 = -4x - 4

Put it all on one side

x² - 25 + 4x + 4 = 0

Put like terms together

x² + 4x - 21 = 0

Factor

(x + 7)(x - 3) = 0

x + 7 = 0 ⇒ x = -7

x - 3 = 0 ⇒ x = +3

x = -7, +3

Answer:

The slope of the line.

Step-by-step explanation:

In other words, SLOPE is the VERTICAL change between any two points divided by the HORIZONTAL change in any two points.

Answer

The constant rate of change of a line is also called what

...SLOPE...

Part 2:

-4a + 2 + 11a = 5a + 3 + 2a

~Combine like terms

7a + 2 = 7a + 3

~Subtract 2 to both sides

7a = 7a - 1

~Subtract 7a to both sides

0 = 1

Therefore, there are no solutions.

Best of Luck!

Let's look at the multiplication exponent rule.

[tex]x^a*x^b=x^{a+b}[/tex]

Meaning that the exponents will add together when the same base is multiplied.

[tex]3^4*3^5=3^{4+5}=3^9[/tex]

Hope this helps.

頑張って!

Answer:

19683

Step-by-step explanation:

3x3x3x3= 81

3x3x3x3x3=243

81x243=19683

The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction

A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.

So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about ray here;

https://brainly.com/question/13194809

Answer:

A. Given

B.Measure of ABC=90

C.Angle addition Prostulate

D.2 times the measure of angle CBD=90

Step-by-step explanation:

Answer:

d a b c

Step-by-step explanation:

Answer:

5945

Step-by-step explanation:

The sum for an arithmetic series is given by the formula:

[tex]S=(x_1+x_k)\cdot\frac{k}{2}[/tex]

Where x₁ is the initial term, x_k is the last term, and k is the number of elements in the series.

From the sequence, we can see that the first term is 32. The last term is 113.

To determine how many elements we have, subtract 113 and 32:

[tex]113-32=81[/tex]

However, we must add 1 to this number since this doesn't include the first term. Thus:

[tex]81+1=82[/tex]

So, there are 82 terms in total.

Therefore, our sum is:

[tex]S=(32+113)\cdot\frac{82}{2}[/tex]

[tex]S=(145)\cdot 41=5945[/tex]

Answer:

5945

Step-by-step explanation:

an = a1 + ( n - 1) 1

a1 = first term

n = number of terms

an = last term

113 = 32 + ( n - 1 ) 1

113 = 32 + n -1

113 = 31 + n

n = 113 - 31

n = 82.

Sn = n/2(a1 + an)

S82 = 82/2 (32 + 113)

S82 = 41 (145)

S82 = 5945.

Answer:

should have dded like variables first

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

3x+2x-6=24

add 3x and 2x this gives 5x

5x-6=24

then add the 6 to 24

5x=30

then divide both sides by 5

then X=6

4x -2(3x+7)

Use the distributive property:

4x - 6x -14

Combine like terms:

-2x - 14

Answer: G

Step-by-step explanation: Points are coplanar if they lie on the same plane.

So, G would be a coplanar point with E, F, and H.

Answer:

G

Step-by-step explanation:

i just took the test and got it right! (:

Answer:

Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

3/30 not working

3/30%=3/30x100

=>10%

% of computers working 100%-10%=90%

Answer:

d<4  I might not be right but I think this is correct

Step-by-step explanation:

Simplify both sides of the inequality.

−d+12>8

Subtract 12 from both sides.

−d+12−12>8−12

−d>−4

Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >[tex]\frac{-4}{-1}[/tex]

d > 4

Answer:

87

Step by step explanation:

(6)(16) - [tex]3^{2}[/tex]

96 - [tex]3^{2}[/tex]

96 - 9

87

Answer:

All together:

D:(-∞,∞)

R:(-∞,2]

Individually:

D: (-∞,-2], (-2,∞)

R: (-∞,-2], y=2

Step-by-step explanation:

So the way I like to think about Domain and Range is that the Domain is the set of real numbers which can be put into a function and the Range is the set of real numbers which you can get out from a function.

Looking at your given function, it looks like the piece-wise parts are f(x)=x and f(x)=2. Neither one of the functions has domain restrictions (you can plug anything into the first and second without getting any mathematical errors [like a 0 in the denominator]). And since the graph shows arrows in each end, indicating infinite continuation of the curve, the Domain is (-∞,∞).

Now for the outputs of each function, we can see that you'll be getting any number out for the f(x)=x portion. But, the f(x)=2 portion will always give you 2 for any input. So the Range is (-∞,2).

Now I'm honestly not too sure what the HW is asking you to do with this info... for the first part, maybe they want the individual domain and range values for each piece of the piece-wise while the second part asks for the overall? You might know what it's asking better then me since it's your class.

I'll include the overall and individual answers above. Comment with any questions.

Answer:

9

Step-by-step explanation:

We see that we have 9 zeros.

We use the base 10 system to help us solve.

When we multiply anything by 10, we simply move the decimal place to the right.

Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹

Answer:

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Step-by-step explanation:

Given

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

Required

Express the rate as per hour

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

There are 168 hours in  a week;

So, the rate becomes

[tex]Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}[/tex]

[tex]Rate = \frac{91\ fl\ oz}{420\ hours}[/tex]

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Hence;

The equivalent of the given rate is [tex]0.2167\ fl\ oz/hour[/tex]