Which term has the definition "A relationship in which two variables change at the same rate

Answer:

 11.6 (6 is repeating)

Step-by-step explanation:

1.75 divided by 15% of 75

The population 5 years from now would be 60482

The population growth rate is given as:

[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]

The value of t, 5 years from now is represented as:

t = 5

Substitute 5 for t in the function r(t).

So, we have:

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]

Evaluate the exponent

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]

Evaluate the products

[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]

So, we have:

[tex]r(5) = 400(1 + \frac{10}{49})[/tex]

Divide 10 by 49

[tex]r(5) = 400(1 + 0.204)[/tex]

This gives

[tex]r(5) = 400(1.204)[/tex]

Expand

[tex]r(5) = 481.6[/tex]

The current population is given as 60000.

So, the population (P) 5 years from now would be

[tex]P = 60000 + 481.6[/tex]

[tex]P = 60481.6[/tex]

Approximate

[tex]P = 60482[/tex]

Hence, the population (P) 5 years from now would be 60482

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Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhh

Answer:

4

Step-by-step explanation:

13410000

Sig Figs4

13410000

Decimals0

Scientific Notation1.341 × 107

E-Notation1.341e+7

Words thirteen million four hundred ten thousand

Answer:

  more than 1100

Step-by-step explanation:

The contribution margin for each package sold is ...

  $6.50 -3.00 = $3.50

The number of packages that must be sold to cover fixed costs is ...

  3.50n > 3850

  n > 1100 . . . . . . . divide by 3.50

The company will generate a profit if more than 1100 packages are produced and sold each week.

_____

Additional comment

If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.

Answer:

  Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

  marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

  s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

  p = s -c

  500 = (1.0625c) -c = 0.0625c

Then the cost is ...

  500/0.0625 = c = 8000

and the sale price is ...

  s = c +p = 8000 +500 = 8500 . . . rupees

The selling price will be Rs 8500.

The exact values of the remaining five trigonometric functions of theta are

Since tanθ = -√3.

The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.

The next trigonometric function of θ is cotθ.

cotθ = 1/tanθ

= 1/-√3

= -1/√3.

Also, tan²θ + 1 = sec²θ

Substituting tanθ = -√3 into the equation, we have

(-√3)² + 1 = sec²θ

3 + 1 = sec²θ

sec²θ = 4

secθ = ±√4

secθ = ±2

Since θ is in the quadrant II,

secθ = -2

Also, cosθ = 1/secθ

= 1/-2

= -1/2

Also, cot²θ + 1 = cosec²θ

Substituting cotθ = -1/√3 into the equation, we have

(-1/√3)² + 1 = cosec²θ

1/3 + 1 = cosec²θ

cosec²θ = 4/3

cosecθ = ±√(4/3)

cosecθ = ±2/√3

Since θ is in the quadrant II,

cosecθ = +2/√3

Also, sinθ = 1/cosecθ

= 1/2/√3

= √3/2

So, the exact values of the remaining five trigonometric functions of theta are

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Answer:

( x+10)-3= 2

x+10= 5

x= -5

3x+12= 3

3x= -9

x= -3

3( x+6 )= 5x

3x+ 18 = 5x

2x= 18

x =9

w= l-4 y= x-4

perimeter= 2l+ 2w

2(2x) + 2( x-4)

4x+2x-8 = 72

6x= 72+8

6x= 80

x= 13.3 width = 9.3 length = 13.3

4x=48

x = 12

each 2= 24

Step-by-step explanation:

the diagaonls of rectangle interscet at x

find the angle that a diagaonl makes a longer side of the rectangle

Answer: make me brainlist

Step-by-step explanation: x=104

Answer:

The answer is 0.75

Step-by-step explanation:

The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

Another method without a calculator is:

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

Step 2: Multiply both top and bottom by that number.

Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)

Example:

Convert 3/4 to a Decimal:

Step 1: We can multiply 4 by 25 to become 100

Step 2: Multiply top and bottom by 25. It gives us 75/100.

Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);

Answer = 0.75

Answer:

4.5 ounces

Step-by-step explanation:

18/4=4.5

she drove for 4  hours

Answer:

the person above me is wrong its not an option for me ;-;

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

  solutions

Step-by-step explanation:

Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.

Answer:

x>3

Step-by-step explanation:

-5x+20<5

-5x<5-20

-5x<-15

5x>15

x>15/5

x>3

Answer:

A) x > 3

Step-by-step explanation:

[tex]-5x + 20 < 5\\\rule{150}{0.5}\\-5x + 20 - 20 < 5 - 20 \\\\-5x < -15 \\\\\frac{-5x < -15}{-5}\\\\\boxed{x > 3}[/tex]

Answer:

5/1

10/2

15/3

20/4

25/5

30/6

35/7

Step-by-step explanation:

Answer:

(3-2)

Step-by-step explanation:

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

[tex]r = \left(\dfrac{33}{13}\right)[/tex]

[tex]s = \left(\dfrac{10}{13}\right)[/tex]

Step-by-step explanation:

Let's multiply and divide the given fraction by the conjugate of the denominator:

[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]

[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]

[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]

[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]

[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]

We can see here that

[tex]r = \left(\dfrac{33}{13}\right)[/tex]

[tex]s = \left(\dfrac{10}{13}\right)[/tex]

The value of the variable 'r' and 's' will be 33 and 18, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The two equations are given below.

(6 + √27) / (4 - √3) and  (r + s√3) / 13

Simplify the expression (6 + √27) / (4 - √3), then we have

[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]

⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)

⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)

⇒ (33 + 18√3) / 13

Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,

r = 33

s = 18

The value of the variable 'r' and 's' will be 33 and 18, respectively.

More about the Algebra link is given below.

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Answer:

-6

Step-by-step explanation:

y = -2 x -3/2 - 9

3 - 9 = -6

Hey there!

y= -2 (-3/2) - 9

-2(-3/2) = [3]

y = 3 - 9

y = -6

Therefore, your answer is: y = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]3x + 14[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4x + 2(3x + 7) - 7x[/tex]

[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]

[tex]4x + 6x + 14 - 7x[/tex]

Step 2:  Combine like terms

[tex]4x + 6x + 14 - 7x[/tex]

[tex](4x + 6x - 7x) + 14[/tex]

[tex]3x + 14[/tex]

Answer:  [tex]3x + 14[/tex]

Answer:

i think -2.5 -0.3 0.261 2.1

Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

Answer:

12 = m + 7

Step-by-step explanation:

When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!

Answer:

Joe score was the highest. Tara score was the lowest.

Step-by-step explanation: