determine algebraically if the following functions are even,odd,or neither.if even state the symmetry

The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))

x=(-1±\(\sqrt{1+864} /6\))

x = (-1 ±\(\sqrt{865} /6\) )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

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Answer:

Points in Euclidean geometry

In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of (2/5)s in 1 and 1/2 are 15/4 or 3.75.

Let the number of (2/5)s in 1 and 1/2 be x.

Hence, we can write,

(2/5)x = 1 and 1/2.

We can write the mixed fraction 1 and 1/2 as improper fraction 3/2.

Hence,

(2/5)x = 3/2

x = (3/2) ÷ (2/5)

x = (3/2) * (5/2)

x = (3*5/2*2) = 15/4 = 3.75.

Hence, the number of (2/5)s in 1 and 1/2 are 15/4 or 3.75.

Improper fraction

An improper fraction is defined as a fraction whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y. It is therefore, the improper fraction is always greater than one.

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Answer: a

Step-by-step explanation:

Answer:

numbers:letters

5:4 (numbers:letters form)

Step-by-step explanation:

There are 5 numbers in the password and 4 letters

Hopefully this helps :)

Answer:

26 per volunteer

Step-by-step explanation:

90-12=78

78/3=26

Answer:

26

Step-by-step explanation:

90 - 12 = 78, 78 / 3 equaling 26.

Vanessa: a dime = 10 cents = 0.10

A penny = 1 cent = 0.01

6 x 0.10 = 0.60

2 x 0.01 = 0.02

Total = 0.60 + 0.02 = 0.62

Joachim : a dollar = 1.00

3 x 0.10 = 0.30

5 x 0.01 = 0.05

Total = 1.00 + 0.30 + 0.05 = 1.35

Jimmy: total = 5.00 + 0.07 = 5.07

Total of all 3: 0.62 + 1.35 + 5.07 = $7.04

This is less than $8 so they don’t have enough.

They need: 8.00 - 7.04 = $0.96 more

Answer:they need more money

Step-by-step explanation: they need 96 more cents

Answer:

45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%

Step-by-step explanation: Brainlest plzzz

Answer:

1-nonlinear it is not consistant

2- a increasing, b constant, c decreasing

3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)

4- 8cm per second

work 16cm/2sec=8cm/1sec

Step-by-step explanation:

Option C: 9 cups can be filled from a bag of oranges.

Here we see that 1/12th of a bag fills 3/4th of a cup of orange juice.

Here we need to calculate the unit rate of cups per bag of oranges. This means that we have to find the number of cups of orange juice we can fill using one bag of oranges.

Since 3/4th of a cup requires 1/12th bags of oranges,

1/4th of a cup will require

(1/12)/3 bags of oranges

= 1/36

Hence 1 cup requires 4 X 1/36 bags of oranges

= 1/9

Therefore, to get the number of cups that can be filled from a bag of oranges is 1/(1/9)

= 9 cups

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Correct Question

Kate's new juicer is able to squeeze 3/4 of a cup of orange juice from 1/12 of a bag of oranges. Compute the unit rate of cups per bag of oranges.

A: 3 cups B: 6 cups C: 9 cups D: 12 cups

Answer:

230/48=4,79

4,79 * 72=345

Answer:

346 calories

Step-by-step explanation:

230 needs to be divided by 48 to find the unit rate. 4.8 calories per gram is found. This number is multiplied by the grams of the second bag to find it contains about 345.6 which can be rounded to 346

Answer

Yes, zero is contained in the interval

Answer:

A)  (-7, 6)

Step-by-step explanation:

The graph of the inverse function is a reflection in the line y = x.

The mapping rule for a reflection in the line y = x is:

Therefore, if point (6, -7) is on the graph of the function f(x), the point that is on the graph of the inverse function f⁻¹(x) is:

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer:

Length is twice the Width

Perimeter = 126 ft.

let width = W

length = 2W

P = 2 length + 2 width

126 ft. = 2(2W) + 2W

126 ft. = 6W

 21 ft. = W

width is 21ft., length is 42 ft.

Step-by-step explanation:

HOPE IT HELPS.

Answer:  

Length= 412 feet

Breadth = 412/2      (as length is twice the breadth)

              = 206 feet

therefore, area = l*b

                           = 412 * 206

                           = 84872 feet^2

Hope it helps u

Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Answer: x = 101

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

Answer:

9 4/5

Step-by-step explanation:

I hope that helps! :)

The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.

Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).

To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.

After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.

In conclusion, it is represented by the equation y = -x + 3.

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Answer:

21

Step-by-step explanation:

Of means multiply

7% * 300

Change to decimal form

.07 * 300

21

The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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Answer:

48

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-(5y - 6) + 4(3 + 5y)

y = 2

Step 2: Simplify

Step 3: Evaluate

Answer:

The only function is C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

sec x − cos x = sin x tan x? First convert all terms into sinx and cosx. Second apply fraction sum rules to the LHS. and replace secx with 1 cosx. The LHS, secx − cosx becomes 1 cosx − cosx. The RHS, sinxtanx becomes sinx sinx cosx or sin2x cosx.

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability that a randomly selected student is a junior is 0.35.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

The probability that a randomly selected student is a junior will be,

P(Junior) = [(Number of Juniors)\(Number of total students)]

P(Junior) = 35/100 = 0.35

Hence, The probability that a randomly selected student is a junior is 0.35.

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