Find and solve A and B then verify if the equation is correct

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer:

  90 degrees

Step-by-step explanation:

grams is a unit of mass

degrees is a unit of angle measure

milliliters is a unit of volume

inches is a unit of length

The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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Answer:

Pretty sure you'd be in hell by then 0_0

Step-by-step explanation:

think of it-2,200 ft and your at 0. Your in hell!

Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

\(\cfrac{3}{5}\times\cfrac{3}{5}\times\cfrac{3}{5}\implies \cfrac{3\times 3\times 3}{5\times 5\times 5}\implies \cfrac{27}{125}\)

Answer:27/125

Step-by-step explanation:

Multiply the tops 3x3x3=27

Multiply the bottoms 5x5x5=125

Answer:

D.10

Step-by-step explanation:

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The point at the ordered pair (c•d)(4) is (4, 13)

From the question, we have the following parameters that can be used in our computation:

The graph of (c•d)(x)

For the point that represents (c•d)(4), we have

x = 4

When x = 4 is traced on the graph, we have

y = -13

using the above as a guide, we have the following:

(c * d)(4) = 13

So, the ordered pair is (4, 13)

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The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

i. The diagonals are congruent.

iii. Both pairs of opposite sides are parallel.

iv. The diagonals are perpendicular bisectors of each other.

Step-by-step explanation:

Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)

The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.

Note: A rectangle, therefore, has all the properties of a parallelogram:

Parallel opposite sides

Same length for opposite sides

The intersection of diagonals in the middle

A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.

A rectangle has a center of symmetry, which is the point of intersection of its diagonals.

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.

Part A: The function is nonlinear.

Part B: We determined the function to be nonlinear because the corresponding y-values do not change by a constant rate as the x-values increase, indicating a lack of a linear relationship.

Part A: The given function is nonlinear.

Part B: To determine whether the function is linear or nonlinear, we need to examine the relationship between the x-values and the corresponding y-values in the table.

In a linear function, there is a constant rate of change between the x and y values.

This means that for every increase in x by a fixed amount, the corresponding y value will change by a constant amount.

If we look at the x-values in the given table (2, 3, 4), we can see that they are increasing by a fixed amount of 1 each time.

However, when we examine the corresponding y-values (20, 10, 40), we don't see a constant rate of change.

The y-values are not changing by the same amount for each increase in x.

For instance, when x increases from 2 to 3, the y-value decreases from 20 to 10.

This indicates a non-linear relationship as the change in y is not constant for each unit increase in x.

Additionally, when x increases from 3 to 4, the y-value jumps significantly from 10 to 40, which further confirms the nonlinear nature of the function.

Based on these observations, we can conclude that the given function is nonlinear.

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Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Answer:

Below

Step-by-step explanation:

(25380 - 18000) / 18000     * 100% =

7380/18000 * 100 = 41 % increase

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

BC = 56 units

Step-by-step explanation:

since the main diagonal AK bisects the diagonal BC , then the figure is a kite.

• the disjoint pairs of consecutive sides are congruent in a kite, that is

AB = AC and BK = CK

using the pair AB = AC  to solve for x

9x - 14 = 6x + 7 ( subtract 6x from both sides )

3x - 14 = 7 ( add 14 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Since m bisects BC , then

CP = PB and

BC = CP + PB = 4x + 4x = 8x

then

BC = 8x = 8 × 7 = 56

The expression 1 -25x² +10xy-y² in product form is (1-5x-y)(1+5x-y).

In mathematics, an expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation. Expressions can be simple, such as a single number or variable, or complex, involving multiple operations and variables. Expressions are used in a variety of mathematical contexts, including algebra, calculus, and geometry. They can be evaluated to obtain a numerical value, simplified by combining like terms or using algebraic identities, or used to represent mathematical relationships and patterns.

Here,

The given expression can be written as a product of two binomials as follows:

(1-5x-y)(1+5x-y)

Expanding this product gives:

1(1) + 5x(1) - y(1) - 5x(1) - 25x² + 5xy + y(1) - y(5x) - y²

Simplifying this expression gives:

1 - 25x² + 10xy - y²

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Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

13x -9

Step-by-step explanation:

4x-1 + 9x-8

Combine like terms

4x +9x  -1-8

13x -9

Answer:

9x+−8+4x+−1

(9x+4x)+(−8+−1)

13x+−9

Step-by-step explanation:

so sorry if wrong

The area of the patio not taken up by the fountain is 241ft²

Please find attached an image of the patio

Area of the patio not taken up by the fountain = area of patio - area of fountain

The patio is in a shape of a trapezoid. Thus, the area of the patio can be determined by using the formula for the area of a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Taking a look at the image, we are not provided with the height of the trapezoid, just the parallel sides and the hypotenuse.

Pythagoras theorem can be used to determine the the height of the trapezoid

The Pythagoras theorem : a² + b² = c²

where a = height  

b = base = 20 ft - 12 ft = 8ft

8ft / 2 = 4

c =  hypotenuse

a² + 4² = 25²

a² = 625 - 16

a² = 609

√609 = 24.68 ft

Area of the trapezoid = 0.5 x (20 + 12) x 24.68 = 394.88 ft²

The fountain is in the shape of  a circle.

Area of a circle = πr²

Where : = π = pi = 22/7

R = radius  

The radius would have to determined from the circumference

circumference of a circle = 2πr

14π = 2πr

r = 14π / 2π

r = 7

Area of the circle = \(\frac{22}{7}\) × 7²

\(\frac{22}{7}\) × 49 = 154 ft²

Area of the patio not taken up by the fountain = 394.88 ft² - 154 ft² = 240.88ft²

To round off to the nearest square, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is greater than 5, so one is added to 0. The number becomes 241ft²

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To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.