Cameron has a credit limit on his gasoline company credit card of $500. He has no initial balance, but has charged gasoline purchases of $25,25 and $32,33. What is Cameron’s remaining available credit?

The circumference of the larger pizza is 12.56 longer than the smaller pizza.

The length around the circle or the perimeter of the circle is called its circumference.

Given that, Anthony ordered two pizzas for a party. One was a small pepperoni pizza with a radius of 5 inches, and the other was a large cheese pizza with a 7 in. radius.

We need to find how much longer than the circumference of the smaller pizza,

We know that,  

Circumference of a circle = 2πr.

Therefore,

Circumference of the larger pizza = 2 × 3.14 × 7 = 43.96 in

Circumference of the smaller pizza = 2 × 3.14 × 5 = 31.4 in

Therefore,

Subtracting the circumference of smaller pizza from larger pizza to get the difference = 43.96 - 31.4 = 12.56 in

Hence, the circumference of the larger pizza is 12.56 longer than the smaller pizza.

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Answer:

  C- The range is the set of all real numbers greater than -4

Step-by-step explanation:

You want an appropriate description of a decreasing exponential function with a horizontal asymptote of y = -4.

The range of the function is the vertical extent of its graph. This exponential function extends from y = -4 to y → +∞.

The range is the set of real numbers greater than -4.

__

Additional comment

The domain is the horizontal extent of the graph. The arrows on the ends of the curve show it extends to infinity in both directions.

The value y=-4 is not actually part of the range. The function comes arbitrarily close to that value, but is never actually that value.

Answer:(3.33, 1.67)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3000 = vertical intercept

R = Independent variable

800 = slope

B= Depdendent variable

Explanation:

We need to remmber that a dependent variable is the variable that we want to predict with an indepedent variable

The independent variable is used in order to estimate the dependent variable.

Assuming linear relationship between B and R.

For this case we have a linear model given by:

If we compare this to the general lineal model given by:

Where y is the dependent variable, x the independent variable, m the slope and b the intercept.

We see on this case that:

3000 = vertical intercept

R = Independent variable

800 = slope

B= Depdendent variable

Answer:

32.102 < 32.94 < 33.1 < 33.6 < 34.039 < 34.198

Step-by-step explanation:

34.039, 32.94, 34.198, 32.102, 33.6, 33.1

32 < 33 < 34, so start by moving the two numbers beginning with 32 to the left, follow by the numbers with 33, then the numbers with 34.

Now compare the first digit to the right of the decimal point, the tenths digit.

32.102, 32.94, 33.1, 33.6, 34.039, 34.198

32.102 < 32.94 < 33.1 < 33.6 < 34.039 < 34.198

Answer:

Step-by-step explanation:

45436

Answer:

Step-by-step explanation:

y    00             10                          20

p    6700      (6700 x 1.15%)       ( 7705 x .85)

6549.25 - 6700 = -150.75

What % of 6700 = -150.75

The change in the population from 2000 to 2020 was a decrease of 2.25%

The total number of feathers lost in 14 days if you lose 30 feathers every hour is 10,080 feathers.

Feathers lost every hour = 30 feathers

How many feathers is lost in 14 days?

1 day = 24 hours

14 days = 24 × 14

= 336 hours

Total number of feathers lost in 14 days = Feathers lost every hour × number of hours in 14 days

= 30 × 336

= 10,080 feathers

Therefore, the total number of feathers lost in 14 days is 10,080 feathers

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Answer:

106 bucks

Step-by-step explanation:

The slowest time of the 40 yard dash is given by the equation A = 3.41 sec

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the slowest time be represented as A

Now , the equation will be

Let the total length of the yard = 40 yard dash

Let the fastest time be represented as F

The value of F = 4.58 seconds

The difference between the fastest and the slowest time = 1.17 seconds

Substituting the values in the equation , we get

Fastest time - slowest time = 1.17 seconds

So ,

4.58 - A = 1.17

On simplifying the equation , we get

Adding A on both sides of the equation , we get

A + 1.17 = 4.58

Subtracting 1.17 on both sides of the equation , we get

A = 4.58 - 1.17

A = 3.41 seconds

Therefore , the value of A is 3.41 seconds

Hence , the equation is A = 3.41 seconds

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The nightly cost before tax is added is given as follows:

$225.

The nightly cost is obtained applying the proportions in the context of this problem.

The sales tax of 8% means that the total cost is of 108% = 1.08 of the nightly cost x.

As the total cost was of $243, this means that the equation to obtain the value of x is given as follows:

1.08x = 243.

Solving the equation, the nightly cost before tax is added is given as follows:

x = 243/1.08

x = $225.

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A locus, or point, line, or moving surface, is a curve or other shape created in mathematics by all the points that meet a specific equation describing the relationship between the coordinates.

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On applying the formula of perimeter the width of Lewis's cage is obtained as 14.86 inches.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

Mathematically, the perimeter of a rectangle can be calculated by using this formula -

P = 2(L + W)

Where -

P represents the perimeter of a rectangle.

L represents the length of a rectangle.

W represents the width of a rectangle.

For the perimeter of Becky's rectangular cage, calculate the value -

Perimeter, P = 2(L + W)

Substituting the values and solving the equation -

Perimeter, P = 2(15 + 11)

Perimeter, P = 2(26)

Perimeter, P = 52 inches.

For the perimeter of Lewis's rectangular cage, the value given is -

Length of Lewis's rectangular cage is 0.75 times the length of Becky's cage.

L = 0.75W

The value for perimeter will be -

Perimeter, P = 2(L + W)

Solving the equation -

52 = 2(0.75W + W)

26 = (0.75W + W)

1.75W = 26

Width, W = 26/1.75

Width, W = 14.86 inches.

Therefore. the value for width is obtained as 14.86 inches.

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Answer:

y= -5 - 4x

Step-by-step explanation:

4x + 2y = -10 - 4x

-4x                    -4x

2y = -10 - 8x

/2.         / 2

y= -5 - 4x

Only table 1 represents the directly proportional relationship.

Given are the tables representing proportional relationship.

We can write the slope as -

{m} = (- 4 + 3)/(- 2 + 1) = 1

The equation will be -

y = x

Remaining tables does not show the direct variation.

Refer to the graph attached.

Therefore, only table 1 represents the directly proportional relationship.

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The function that grows least quickly is

A. f(x)

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, The base is what determines exponential growth or decay

The higher the base the more it will grow and the lesser the base the less quickly it grows

When the base is less than one we have exponential decay

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Answer: 1/6561

Also could you mark my answer as brainliest? It helps and doesnt hurt

h(t)=-16t²+14t is the maximum height the cricket reaches.

Two or more expressions with an Equal sign is called as Equation.

Given that Crickets can jump with a vertical velocity of up to 14 ft/s.

we need to find the maximum height the cricket reaches

h(t)=-16t²+v₀t+h₀

h of t equal to minus sixteen t square plus v not t plus h not.

v₀ is given as 14 and h₀ will be zero

h(t)=-16t²+14t

Hence, h(t)=-16t²+14t is the maximum height the cricket reaches.

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The person doesn't need to stop for gas as the gas will be able to travel the journey.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

Since the gas tank is 1/4 for your tank as it holds 12 gallons of gas. The full gas will be:

= 12 × 4

= 48 gallons

Since your destination is 90 miles away and it uses 25 mph. The number of hours will be:

= 90 / 25

= 3.6 hours.

The number of gallons needed will be:

= 3.6 × 12

= 43.2

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Answer:

Step-by-step explanation:

A

The solution of the inequalities is as follows:

1. x > 3

2. x > - 1

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequalities as follows:

-3x + 18 < x + 6

subtract x from both sides of the inequalities

-3x + 18 < x + 6

-3x - x + 18 < x - x + 6

-4x + 18 < 6

subtract 18 from both sides of the inequalities

-4x + 18 < 6

-4x + 18 - 18 < 6 - 18

-4x < -12

divide both sides by -4

x > 12 / 4

x > 3

Let's solve the second inequality

8x - 6 > -3x - 17

8x + 3x > -17 + 6

11x > - 11

divide both sides by 11

x > - 11 / 11

x > -1

The solution are as follows:

1.  x > 3

2. x > -1

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Liliana is right. A tuple of numbers a, b, c, and d that has the formula a2 + b2 + c2 = d2 is known as a Pythagorean quadruple.

Liliana is right. A tuple of numbers a, b, c, and d that has the formula a2 + b2 + c2 = d2 is known as a Pythagorean quadruple.

They are Diophantine equation solutions, and frequently, only positive integer values are taken into account.

Pythagorean triples are limitless in number. Anytime 2 n + 1 is a square, a Pythagorean triple is formed.

There exists an endless number of Pythagorean triples since 2 n +1 includes all odd integers, every other square number is odd, and there are an unlimited number of odd squares.

(4, 5, 20, 21} should work, or (1, 2, 2, 3}.

[tex]4^{2} + 5^{2} + 20^{2} = 21^{2}[/tex]

[tex]1^{2} + 2^{2} + 2^{2} = 3^{2}[/tex]

so Liliana is right.

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The distance between Jordan's house and his school is 5 units.

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

Given that, a graph, showing the distance of Jordan's house and his school.

SInce, the given situation is making a right triangle,

The base and height of the triangle = 3 units and 4 units

We need to find the shortest distance of Jordan's house and his school.

Which is the hypotenuse of the triangle,

Let the distance be d,

Using Pythagoras theorem,

d = [tex]\sqrt{3^2+4^2}[/tex]

d = [tex]\sqrt{16+9}[/tex]

d = [tex]\sqrt{25}[/tex]

d = 5

Hence, the distance between Jordan's house and his school is 5 units.

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Answer:

Step-by-step explanation:

[tex]4x = 10 \times \frac{2}{3} [/tex]

[tex]x = \frac{10}{4} \times \frac{2}{3} [/tex]

[tex]x = \frac{5}{2} \times \frac{2}{3} [/tex]

[tex]x = \frac{5}{3} [/tex]

Answer: 2295 a month

Step-by-step explanation:

Now 15% of 2700 should be reduced from 2700, you should find how much 15% is in money form.

Use this way if you are allowed to use a calculator:

15% x 2700= 405

next: 2700- 405= 2295

Use this way if you are not allowed to use the calculator:

[tex]\frac{15}{100}[/tex] × 2700= 405

therefore; 2700- 405= 2295

For the given expression, y = a/√4x-b, the range for values of x is, ( -∞, b/4)  ( b/4, ∞)

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, y = a/√4x-b

by comparing denominator equal to zero,

⇒  4x - b = 0

⇒   x =  b/4

It will be defined for all the values of  x, except, x = b/4

So, the given expression will give definite value for this interval,

x ∈ ( -∞, b/4) , x ∈ ( b/4, ∞)

Hence, The range of values of x is ( -∞, b/4)  ( b/4, ∞)

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Answer:

(-1)/3

Step-by-step explanation:

Simplify the following:

1/6 - 1/2

Put 1/6 - 1/2 over the common denominator 6. 1/6 - 1/2 = 1/6 - 3/6:

1/6 - 3/6

1/6 - 3/6 = (1 - 3)/6:

(1 - 3)/6

1 - 3 = -2:

(-2)/6

The gcd of -2 and 6 is 2, so (-2)/6 = (2 (-1))/(2×3) = 2/2×(-1)/3 = (-1)/3:

Answer: (-1)/3

Answer:

-0.3333

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

to find the value of x that satisfies both equations, solve them simultaneously.

x + y = 5 → (1)

2x - y = 7 → (2)

add (1) and (2) term vy term to eliminate y

3x + 0 = 12

3x = 12 ( divide both sides by 3 )

x = 4