A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi
long and 5 mi wide, write a polynomial that represents the area of the available habitat for the wild animal.
(Note: diagram not drawn to scale)

Answer:

10y+10

Step-by-step explanation:

5(2y+2)

5x2y=10

5x2=10

Answer:

10y+10 Is the answer.

just multiply 5 By whats in the bracket

Answer:

60

Step-by-step explanation:

The triangles are similar so corresponding angles will be congruent. We also know this because both angles have two lines marking they are congruent.

An equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

3x - 4 - (5x + 7)

Expanding the brackets we get,

3x - 4 - (5x + 7) = 3x - 4 - 5x - 7

Taking alike terms together we get,

3x - 4 - (5x + 7) = 3x - 5x - 4 - 7

Solving we get,

3x - 4 - (5x + 7) = - 2x - 11

These are equivalent expression.

Thus, an equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

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Answer:

1/12 or 0.083

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

the capacity of the airplane is 108 passengers.

To find the capacity of the airplane, we can set up an equation using the given information.

Let's denote the capacity of the airplane as "C".

We are given that 5/6 of the capacity (5/6C) is equal to 90 passengers.

So, we can write the equation as:

5/6C = 90

To solve for C, we can multiply both sides of the equation by the reciprocal of 5/6, which is 6/5:

C = (90) * (6/5)

C = 108

Therefore, the capacity of the airplane is 108 passengers.

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Answer:

74 fishes

Step-by-step explanation:

Total number of people = 1672

Let us represent:

Number of people over the age of 50 = a

Number of people below the age of 50 = b

People over the age of 50 she gave = 16 fish

People below 50 she gave = 96 fish. Only 3/4 of the over 50s collected their salmon

= 3/4a collected fish = 0.75a

If a should collect = 96 fishes

0.75a =

Cross Multiply

=0.75a × 96 fishes/ a

= 72 fishes

Therefore, 3/4 of the over 50s collected 72 fishes.

1/8 of the under 50s collected their fish.

= 1/8b collected fish = 0.125b

If b people should collect = 16 fishes

0.125b people =

Cross Multiply

0.125b × 16 fishes/b

= 2 fishes.

Therefore, the total number of fishes shared

= 72 fishes + 2 fishes

= 74 fishes

Answer: 3, 160 || 4, 320 || 5, 640 || 6, 1280

Step-by-step explanation:

The exponential function to model this situation is [tex]P(t) = 20\times 2^t[/tex]

An exponential function is a mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Given that, a scientist studying bacteria begins with 20 cells.

The bacteria population doubles every hour.

Let P(t) determines the population of the bacteria in 't' hours.

Hence, by the given information our function P(t) is modeled as:

[tex]P(t) = 20\times 2^t[/tex]

To find the population of the bacteria after 11 hours, put t = 11,

[tex]P(11) = 20\times 2^{11[/tex]

= 40,960

Hence the population of the bacteria after 11 hours will be 40,960.

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Answer:

∫ₑ°° 1 / (x (ln x)¹⁰) dx

∫₁°° x⁻³ dx

Step-by-step explanation:

A p-series 1 / xᵖ converges if p > 1.

∫ₑ°° 1 / (x (ln x)¹⁰) dx

If u = ln x, then du = 1/x dx.

When x = e, u = 1.  When x = ∞, u = ∞.

= ∫₁°° 1 / (u¹⁰) du

p = 10, converges

∫₁₀°° x^(-⅔) dx

= ∫₁₀°° 1 / (x^⅔) dx

p = ⅔, diverges

∫₁°° 2 / x^0.5 dx

= 2 ∫₁°° 1 / x^0.5 dx

p = 0.5, diverges

∫₁°° x⁻³ dx

= ∫₁°° 1 / x³ dx

p = 3, converges

∫₂°° 1/(3x) dx

= ⅓ ∫₂°° 1/x dx

p = 1, diverges

Answer:

t is between 0.47 seconds and 4.02 seconds

Step-by-step explanation:

Given

[tex]Inequality: -4.9t^2+22t+0.75>10[/tex]

Required

Determine the values of t

[tex]-4.9t^2+22t+0.75>10[/tex]

Subtract 10 from both sides

[tex]-4.9t^2+22t+0.75 - 10 >10 - 10[/tex]

[tex]-4.9t^2+22t-9.25 >0[/tex]

Multiply through y -1

[tex]4.9t^2-22t+9.25 <0[/tex]

Solve t using quadratic formula:

[tex]t = \frac{-b \±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 4.9[/tex]

[tex]b = -22[/tex]

[tex]c = 9.25[/tex]

So, we have:

[tex]t = \frac{-(-22) \±\sqrt{(-22)^2 - 4*4.9*9.25}}{2 * 4.9}[/tex]

[tex]t = \frac{22 \±\sqrt{484 - 181.3}}{9.8}[/tex]

[tex]t = \frac{22 \±\sqrt{302.7}}{9.8}[/tex]

[tex]t = \frac{22 \±17.40}{9.8}[/tex]

Split the equation

[tex]t = \frac{22 + 17.40}{9.8}[/tex] or [tex]t = \frac{22 - 17.40}{9.8}[/tex]

[tex]t = \frac{39.4}{9.8}[/tex] or [tex]t = \frac{4.6}{9.8}[/tex]

[tex]t = \frac{39.4}{9.8}[/tex] or [tex]t = \frac{4.6}{9.8}[/tex]

[tex]t = 4.02[/tex] or [tex]t = 0.47[/tex]

Hence; the range is

[tex]0.47 < t <4.02[/tex]

Answer:

i think its 5%

Step-by-step explanation:

because if you divide 40 by 8 you get 5

Answer:

5%

Step-by-step explanation:

divide 40 by 8 to get 5

Answer: C. Substitute a value of x into the equation of a regression line and solve for y

Step-by-step explanation: To predict y values using equation of the regression line, a given value of x is substituted into the equation as there are only two unknowns in the whole regression equation, which are the x value ( independent variable) and the y value (the dependent or predicted variable).

The regression equation is usually of the form:

y = mx + c (linear regression)

Where y = predicted or dependent variable

m = slope or gradient of the regression line

x = independent variable

c = intercept of the line (where it cross the y-axis)

Answer:

the prime factorization of 80 is 2⁴×5

Step-by-step explanation:

Answer:

80 is the answer

Step-by-step explanation:

2^4=16

16*5=80

Hope I helped you! :-)

Answer:

i belive the answer is b but im not 100% sure

Answer:

20

Step-by-step explanation:

5 x 4 x 1

Answer:

A

Step-by-step explanation:

E is the center of the line (or segment) in this case

Those two dashes on segments AE and EC means they are congruent.

Point E is right in the middle of AC because AE and EC are congruent

Answer choice A is correct

Answer: 54 teaspoons of oregano

Step-by-step explanation: 1 can is 6 teaspoons so 9 cans would be 54 teaspoons because 9 x 6 = 54.

Hope this helps!

Step-by-step explanation:

Use exponent property of logs.

logb(x²) = 2 logb(x) = 2(0.49) = 0.98

The value of logᵇ x² is 0.98 after using the logarithm properties the answer is 0.98.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

[tex]\rm log_b x=0.49[/tex]

The integer exponent:

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is required to find the value of [tex]\rm log_b \ x^2[/tex]

As we know from the log property:

[tex]\rm log_a \ b^c = c \ log_a b[/tex]

[tex]\rm log_b \ x^2 = \rm 2log_b \ x[/tex]

[tex]\rm log_b \ x^2 = \rm 2(0.49)[/tex]

[tex]\rm log_b \ x^2 = 0.98[/tex]

Thus, the value of logᵇ x² is 0.98 after using the logarithm properties the answer is 0.98.

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Answer:the answer is A

Step-by-step explanation:

Answer:

DCE

Step-by-step explanation:

you multiply

Algebraic expressions of the total amount of money spent by consumers for any number of Edge Control products is 0.45e.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

The selling specialized Edge Control product that sold for $0.45 each

The providing a more accurate expression is one that multiplies e by how much was spent on each one.:

⇒  (0.45)(e)

⇒  0.45e

Hence, the algebraic expressions of the total amount of money spent by consumers for any number of Edge Control products is 0.45e.

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Answer:

35 i think

Step-by-step explanation:

Answer:

1.) 4

2.) -11

3.) -4

4. 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer i got was -57

Functions can be rewritten is several forms.

The new form of the function is: [tex]\mathbf{f(x) = \frac{x^2}{x - 1} + \frac{2}{x-1}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \dfrac{x^2+2}{x-1}}[/tex]

Split

[tex]\mathbf{f(x) = \frac{x^2}{x - 1} + \frac{2}{x-1}}[/tex]

The form is given as:

[tex]\mathbf{f(x) = p(x) + \frac{k}{x - 1}}[/tex]

So, by comparison

[tex]\mathbf{p(x) = \frac{x^2}{x - 1}}[/tex]

[tex]\mathbf{k =2}[/tex]

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Answer:

none of these have the solution of x = -4

Step-by-step explanation:

1 . 3x + 6 - 2x = -2 .    (combine like terms)

x + 6 = -2  (isolate the variable)

  -6     -6

x = -8    *x doesn't equal - 4*

2.  2(2 - 4) = 16    (distributive property)

2 - 8 = 16

-6 = 16

since theres no x in the equation its not a possible answer .

3 .  (x + 6) 3 = - 6  

this one also isn't a proper equation to find x

4.    -x + 4 = 3   (isolate the variable)

           -4    -4

-x = -1

/x .   /x

x= -1  

Answer:

=4h+29

Step-by-step explanation:

I hope this helps you

Answer:

4h+29

Step-by-step explanation:

Distribute

4(h+11)-15

4xh=4h

4x11=44

Subtract the numbers

4h+44-15

44-15+29

4h+29

Answer:

2839.16

Step-by-step explanation:

119.92(m)+81=C(t)

119.92(23)+81=C(t)

2839.16=C(t)

The total cost will be equal to $2839.16. The expression to calculate the total cost is 119.92(m)+81=C(t).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a person buys a phone for ​$81 and signs up for a​ single-line phone plan with 2000 monthly anytime minutes. The plan costs ​$119.92 per month.

The expression will be formed as below:-

119.92(m)+81=C(t)

119.92(23)+81=C(t)

2839.16=C(t)

Therefore, the total cost will be equal to $2839.16.

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Answer:

4 h 45 min

Step-by-step explanation:

Answer:4 h 45 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

14

Answer:

mark liked to collect at the first store he went to he brought 3 sets of 4 coins at second store he brought 5 sets of 3 coins he then decided to sell 5 coins he totaled his number of coins and gave his brother 8 coins how many coins does he have left