Use the graph below to answer the following questions.
⦁ Estimate the available territory at 20 years
⦁ Estimate the available territory at 15 years
⦁ Does this graph represent exponential growth or decay?
⦁ As the time decreases the available territory _______________

The value of d in the expression, 4d/5+3 = -2-d/5, is -5.

According to the question,

We have the following expression:

4d/5+3 = -2-d/5

Now, moving the terms with the same variables on the left hand side will result in the change of the sign from minus to plus:

4d/5+d/5 -3 = -2

5d/5+3 = -2

d+3 = -2

Now, moving 3 from the left hand side to the right hand side will result in the change of the sign from plus to minus:

d = -2-3

We know that two negative integers are added but the sign before the result remains negative.

d = -5

Hence, the value of d is -5.

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The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is:

[tex]x^{2} +y^{2} +2gx+2fy+c=0[/tex]

Given circle equation:

[tex]x^{2} +y^{2} -2x-8=0[/tex]

on comparing

2gx = -2x

g = -2

2fy = 0

f = 0

Center = (2,0)

radius r = [tex]\sqrt{g^{2}+f^{2}-c }[/tex]

= [tex]\sqrt{9}[/tex]
r = 3 units.

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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Answer:

Step-by-step explanation:

3x + 3x equals 11x

Answer: 1253.33

Step-by-step explanation:

Answer:

1.342

Step-by-step explanation:

4^x+64^x=272

4^x+(4^3)^x=272

4^3x+4^x=272

(4^x)^3+4^x=272

(4^x)^3+4^x-272=0

u^3+u-272=0 ==> substitute 4^x with u

Now, use synthetic division to find roots:

[tex]\sqrt[3]{272}[/tex]31   |    1    0              1             -272

                       [tex]\sqrt[3]{272}[/tex]1     [tex]\sqrt[3]{272^2}[/tex]      272

                 1    [tex]\sqrt[3]{272}[/tex]1      [tex]\sqrt[3]{272^2}[/tex]       0

4^x=[tex]\sqrt[3]{272}[/tex]

log 4 (4^x)=log 4 ([tex]\sqrt[3]{272}[/tex])=1.342

The solution for (18x45) divided by 8 = 101.25

Simplify (18x45) divided by 8

Step 1: Rewrite the equation in mathematical terms

we have:

[tex]\frac{18 x 45}{8}[/tex]= [tex]\frac{810}{8}[/tex]

= 101.25

Therefore, the solution for (18x45) divided by 8 = 101.25

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(7,0); (7,−5) ;(7,3); (7,10);. (7,y)

Step-by-step explanation:

Answer:

The equation x = 7 forms a vertical line which we refer to as undefined. So any points with a x value of 7 will pass through the line.

Step-by-step explanation:

For example, points like (7, 0) (7, 1) (7, 2) are all points that the line x = 7 passes through.

A point is made up of 2 values. An x-value and and a y-value. You simply plug in 7 for the x and any value for y.

Points that are on the line x = 7 include:

(7, 0)

(7, 1)

(7, 2)

(7, 4)

(7, 5)

(7, 6)

The scale factor of the drawing that Desmond is illustrating is is 1/125.

A scale factor is the ratio between rte scale of a particular object and the new object.

In this case, Desmond made a scale drawing of a house, the garage is 4 centimeters wide in the drawing and the actual garage is 5 meters wide.

100 centimeters = 1 meters

5 meters = 500 centimeters

Therefore, the scale will be:

= 4 / 500

= 1 / 125

= 1:125

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With the help of unitary method it can be found out that Tomás has to buy more 3650 grams of oranges if he wants to reach 5 kg.

It is given to us that -

Tomás first chose a tray with oranges whose label says 1,350 gram

We have to find out more grams of oranges that he should buy if he wants to reach 5 kilogram.

We know that

1 kilogram = 1000 grams

=> 1000 grams = 1 kilogram ----- (1)

By unitary method, we can find out the number of kilograms equivalent to 1350 grams of oranges.

From equation (1), we have

1000 grams = 1 kilogram

=> 1350 grams = (1/1000) * 1350

=> 1350 grams = 1.35 kilograms ----- (2)

Now, from equation (2), we can see that Tomás first chose 1,350 grams of oranges which is equal to 1.35 kilograms of oranges.

This implies that the more kilograms of oranges that Tomás has to buy to reach 5 kilograms is given by -

(5 - 1.35) kilograms

= 3.65 kilograms

From equation (1), we have

1 kilogram = 1000 grams

=> 3.65 kilograms = 3.65 * 1000 grams

=> 3.65 kilograms = 3650 grams.

Thus, by solving through unitary method we find out that Tomás has to buy more 3650 grams of oranges if he wants to reach 5 kg.

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On differentiating the given function with respect to x , we get f'(x) = 10x⁴ - 8x⁻⁵  .

In the question ,

it is given that

the function is f(x) = 2x⁵ + 3 + 2x⁻⁴

the derivative of x⁵ is [tex]=[/tex] 5x⁴ ,

the derivative of 3 is = 0

the derivative of x⁻⁴ = -4x⁻⁵ .

on differentiating the function  f(x) = 2x⁵ + 3 + 2x⁻⁴ with respect to x is

f'(x) = 2*d/dx(x⁵) + d/dx(3) + d/dx(x⁻⁴)

Substituting the values of derivative ,

we get

f'(x) = 2*(5x⁴) + 0 + 2(-4x⁻⁵)

f'(x) = 10x⁴ - 8x⁻⁵

Therefore , On differentiating the given function with respect to x , we get f'(x) = 10x⁴ - 8x⁻⁵  .

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The integer in the set S:{−24, 2, 20, 35} that will make the inequality five-sixths m minus five is less than one-half m plus 3 false is 35

Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities imply that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.

In this case, based on the information we will replace m with 35. This will be illustrated thus:

= 5/6(35 - 5) < 1/2(35 + 3)

= 5/6(30) < 1/2(38)

= 25 < 19

In this case, 25 isn't less than 19. Therefore, 35 is the correct integer.

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The completion of the inventory table is as follows:

Some of the inventory methods that are used in completing the inventory table are:

                                    Units    Unit Cost    Total Cost

Jan. 1      Beg. Inventory  10       $7.00            $70

Apri. 11    Purchases        30     $12.00          $360

May 17    Purchases        40     $13.00          $520

Dec. 5    Purchases        20    $15.00           $300

Total                              100                        $1,250

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At the 1% level of significance, the heat shield for the Komodo spacecraft have average temperature of 191.811° C < x-bar < 196.73° C which is less 200◦C

Type I error is explained below

1% level of significance means that the p value or the probability of the temperature of the new heat shield for Komodo spacecraft being less than 200° C is less than 1%

The range of average temperatures of the shield is given by the formula

= x-bar ± t(s/√n)

Definition of variables

mean, x-bar = 194.37° C

standard deviation, s = 4.29° C

sample size, n = 24

significance level = 1%

confidence level = 1 - significance level = 1 -  0.01 = 0.99 = 99%

z score, z

For sample size less than 30, n < 30. t scores are used

degree of freedom, df = n - 1 = 24 - 1 =23

t score for 99% confidence level and df of 23 = 2.808

substituting into the formula

= x-bar ± t(s/√n)

= 194.37 ± 2.808 (4.29/ √24)

= 194.27 ± 2.4589

= 191.811 ° C < x-bar < 196.73° C

Type I error in the context

Type I error is when the engineer's test shows that the interior of the Konodo spacecraft is below 200° C when the interior is actually above 200° C

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Answer:

19 and 21|

Step-by-step explanation:

a + (a+2) = 40

2a + 2 = 40

2a = 40 - 2

2a = 38

a = 38/2

a = 19

a+2 = 21

Check:

19 + 21 = 40

The linear equation that passes through the point (2,-9) and has a slope of -5 in slope-intercept form is y = -5x = 1

Linear equation can be represented in different form such as slope intercept form, point slope form, general form and standard form.

Hence, the linear equation in slope intercept form is as follows;

y = mx + b

where

Therefore, the line passes through (2,-9) and has a slope of -5 .

Hence,

y = -5x + b

let's find the y-intercept using (2, -9)

-9 = -5(2) + b

-9 = -10 + b

b = -9 + 10

b = 1

Therefore, the linear equation is  y = -5x + 1

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Answer:

k = - 8

Step-by-step explanation:

- 268 = - 6(- 6 - 6k) + 2k ← distribute parenthesis by - 6

- 268 = 36 + 36 k + 2k ( subtract 36 from both sides )

- 304 = 38k ( divide both sides by 38 )

- 8 = k

If they observes a blood sample with a compound microscope that has a 10x ocular lens and a 40x objective lens. The larger that the blood cells appear under the microscope is: 400x.

Given data:

Blood sample has:

10x ocular lens

40x objective lens

Using this formula to determine how large the blood cells appear

Blood cells = ocular lens × objective lens

Let plug in the formula

Blood cells =  10x × 40x

Blood cells = 400x or 400 times larger

Therefore the blood cells appear 400 times larger.

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400 times larger

The value of 8x ÷ (16+8) ÷ 32 is x/96

The four basic arithmetic operations in Maths, for all real numbers, are:

Addition (Finding the Sum; ‘+’)

Subtraction (Finding the difference; ‘-’)

Multiplication (Finding the product; ‘×’ )

Division (Finding the quotient; ‘÷’)

Discussing about division or quotient

The division is usually denoted by ‘÷‘ and is the inverse of multiplication. It constitutes two terms dividend and divisor.

To simplify

8x÷(16+8)÷32= 8x×1/24×1/32

= x/96

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Answer: Yes

Step-by-step explanation:,

The factors of 10 are 2 and 5 any number divisible by 10 will also be divisible by both 2 and 5.

Hope this helps! ^-^  Have a good day! :)

Answer:

Yes, Because factors of 10 are 1,2,5,10.

So all numbers divisible by 10 must be divisible by 2 and 5.

Step-by-step explanation:

The value of the exponent given as 24 - (5 + 3)^2 + 4 × 2^3 is -8.

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the value given will be expressed thus:

= 24 - (5 + 3)^2 + 4 × 2^3

= 24 - (8)² + 4 × 8

= 24 - 64 + 32

= -8

The value is -8.

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The system of equations has no solutions, meaning that the two lines never intersect, as shown by the image at the end of the answer.

A system of equations is a set of equations in the context of a problem, and these equations are solved to find the numeric value of each variable of the problem.

When the system involves linear equations, such as is the case in this problem, the solution is given by the intersection point between these two lines.

In this problem, the equations are given as follows:

From the second equation, it is found that:

x = 8 + 2y.

Replacing on the first equation, the solution for y can be obtained as follows:

2(8 + 2y) - 4y = 4

16 + 4y - 4y = 4

0y = -12

Which is a contradiction, hence the system has no solutions and the two lines do not intersect.

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The constant of proportionality between the total cost and the number of songs is 0.72.

The constant of proportionality is the ratio that supplies the variable cost per unit of each song.

Other names for the constant of proportionality include:

Determining the constant of proportionality can help us formulate the total cost equation as y = 0.72x.

Number of Songs    Total Cost    Unit Cost

          13                     $9.36         $0.72 ($9.36/13)

          17                     $12.24        $0.72 ($12.24/17)

         19                     $13.68         $0.72 ($13.68/19)

Check:

y = 0.72x

y = 0.72(13)

y = $9.36

Thus, the constant of proportionality is 0.72, showing that a downloaded song costs $0.72 each.

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Answer:

huhh

Step-by-step explanation:

Hi im new can u guys tell me how this work pease??

Answer:

Step-by-step explanation:

idek idek

If the number of different account numbers are possible if repetitions of letters and digits are allowed is:45,697,600,000.

Let assume you have 26 choices for each of the first 4 slots and 10 choices for each of the last 5 slots.

Hence,

Total possibilities = (26× 26× 26×26) × (10×10×10×10×10)

Total possibilities = 26^4 × 10^5

Total possibilities = 456976×100000

Total possibilities = 45,697,600,000

Therefore we can assume that the total possibilities is : 45,697,600,000.

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The pitcher that has the lowest number of runs allowed per inning is Randy.

In order to determine the pitcher that has the lowest number of runs per innings, divide the number of runs of each player by the number of innings of that player.

Division is the mathematical operation that is used to calculate the quotient of two or more numbers. It entails grouping a number into equal parts using another number.

Number of runs per innings = number of runs / number of innings

Number of runs per innings for Randy : (2 / 3) = 0.667

Number of runs per innings for Felix : (4 / 5) = 0.80

Number of runs per innings for Johan: (5 / 7) = 0.714

Here is the complete question:

A baseball team has three different pitchers. Randy pitched 3 innings and allowed 2 runs, Felix pitched 5 innings and allowed 4 runs, and Johan pitched 7 innings and allowed 5 runs.

Which pitcher has the lowest number of runs allowed per inning?

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Answer:

the answer of this question is:

1q+17r+10

By using subtraction, it can be calculated that there were 496 round beads more than heart shaped beads

What is subtraction?

Suppose, there are two numbers and it is required to find out how much one number is bigger than  the other. The operation used for this is subtraction.

The larger number is called minuend and the smaller number is called subtrehend.

Here, subtraction will be used

Number of round glass beads = 675

Number of beads in the shape of heart = 179

Number of more round beads there were = 675 - 179

                                                                      = 496

There were 496 round beads more than glass beads

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1) The interest if it is compounded using simple interest is $240

2) The interest if it is compounded annually is $249.73

3) The interest if it is compounded semiannually is $252.325

4) The interest if it is compounded quarterly is $253.650

5) The interest if it is compounded monthly is $254.543

6) The interest if it is compounded daily is $254.978

7) The interest if it is compounded hourly is $254.993

8) The interest if it is compounded every minute is $254.993

9) The interest if it is compounded continuously is $254.993

10) The difference in interest between simple interest and interest compounded continuously is $14.993

Compound interest is the addition of interest to the principal sum of a loan or deposit, or interest on interest plus interest.

Given, P=2000

r=4%

r=4/100

r=0.04

t=3 years

1) Simple interest⇒ A=P(1+rt)

=2000(1+3(0.04)

=2000(1+0.12)

=2240

S.I= 2240-2000

S.I=$240

2) Compound interest(yearly)

1st year= 2000(4/100)=80

2nd year=2080(4/100)=83.2

3rd year=(2080+83.2)(4/100)=86.528

P=2163.2+86.528

P=2249.728

C.I=2249.728-2000

C.I=249.728≈$249.73

3) Compounded semiannually

A= P(1+(R/200))²ⁿ

A=2000(1+(4/200))⁶

A=2000(1.12616)

A=2252.325

C.I= 2252.325-2000

C.I=$252.325

4) Compounded quarterly

A=P(1+(R/400))⁴ⁿ

A=2000(1+(4/400))¹²

A=2253.650

C.I=2253.650-2000

C.I=$253.650

5) Compounded monthly

A=P(1+(R/1200))³⁶

A=2000(1+(4/1200))³⁶

A=2254.543

C.I= 2254.543-2000

C.I=$254.543

6) Compounded daily

A=P(1+(R/36500))³⁶⁵ⁿ

A=2000(1+(4/36500))¹⁰⁹⁵

A=2254.978

C.I=2254.978-2000

C.I=$254.978

7) Compounded hourly

A=P(1+(R/876000))²⁶²⁸⁰

A=P(1+(4/876000))²⁶²⁸⁰

A=2254.993

C.I=2254.993-2000

C.I=$254.993

8) Compounded every minute

A=P(1+(R/52560000))¹⁵⁷⁶⁸⁰⁰

A=P(1+(4/52560000))¹⁵⁷⁶⁸⁰⁰

A=2254.993

C.I=2254.993-2000

C.I=$254.993

9) Compounded continuously

A= [tex]Pe^{rt}[/tex]

A=2000([tex]e^{0.04*3}[/tex])

A=2254.993

C.I=2254.993-2000

C.I=$254.993

10) The difference in interest between simple interest and interest compounded continuously is

254.993-$240=$14.993

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Answer:

x = 62

Step-by-step explanation:

40 + (x + 16) + x = 180 (sum of angles in a triangle=180)

2x + 56 = 180

2x = 124

x = 62