Find the zeros of the function. g(x) (-5x-1) (2x+8)
Smaller x
Larger x

It's D, because the mean doesn't matter as much if it's only taken in a small variability. The mean was selected from 25 random pages in the book, that is why it is right.

Answer:

Step-by-step explanation:

According to Kim's calculations

Remember that a mean is defined as the quotient between the sum of all elements and the total number.

According to this calculations, the Math Book has more words per page, based on its greater mean.

Therefore, the right answer is the first choice.

Final answer:

To determine the total outcomes for a 6-sided die and a 4-part spinner, simply multiply the outcomes for each, resulting in 24 unique outcomes.

Explanation:

When calculating the number of outcomes for rolling a 6-sided die and then spinning a 4-part spinner, we need to consider the principle of counting. The die has six possible outcomes: 1, 2, 3, 4, 5, and 6. The spinner has four possible outcomes.

To find the total number of combined outcomes, we multiply the number of outcomes of the die by the number of outcomes of the spinner. Therefore, the total number of outcomes is 6 (from the die) times 4 (from the spinner) which equals 24 unique outcomes.

[tex] |\Omega|=21\\
|A|=10\\\\
P(A)=\dfrac{10}{21}\approx48\% [/tex]

Answer:

the answer is 2:7

Step-by-step explanation:

just because

Answer:

The amount is $275.3

Step-by-step explanation:

We can use amount formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the amount

P is money invested

r is interest rate

n is number of periods

t is time in years

we are given

P=200

r=4%=0.04

t=8

n=12

so, we can plug these values

[tex]A=200(1+\frac{0.04}{12})^{12\times 8}[/tex]

we can simplify it

and we get

[tex]A=275.3[/tex]

So,

The amount is $275.3

The probability is the ratio of the favorable event to the total number of events. Then the probability that it is a multiple of 6 is 0.16 or 16%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random.

Total event = 50

Favorable event = 8 {6, 12, 18, 24, 30, 36, 42, 48}

Then the probability will be

[tex]\rm P = \dfrac{8}{50}\\\\P = 0.16\\\\P = 16\%[/tex]

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The number that Dennis started with is 24

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]y - y_1 = m ( x - x_1 )[/tex]

Let us tackle the problem.

Let :

The number that Dennis started with is X

If he adds 0.5 to that number and then multiplies the new result by 4 , then:

[tex]( X + 0.5 ) \times 4[/tex]

If he then subtracts 2 and divides the number by 2 , then:

[tex]\frac{[ ( X + 0.5 ) \times 4 ] - 2}{2}[/tex]

If his final answer is 48 , then :

[tex]\frac{[ ( X + 0.5 ) \times 4 ] - 2}{2} = 48[/tex]

[tex][ ( X + 0.5 ) \times 4 ] - 2 = 48 \times 2[/tex]

[tex]( X + 0.5 ) \times 4 = 48 \times 2 + 2[/tex]

[tex]( X + 0.5 ) \times 4 = 96 + 2[/tex]

[tex]( X + 0.5 ) \times 4 = 98[/tex]

[tex]( X + 0.5 ) = \frac{98}{4}[/tex]

[tex]( X + 0.5 ) = \frac{49}{2}[/tex]

[tex]X = \frac{49}{2} - \frac{1}{2}[/tex]

[tex]X = \frac{48}{2}[/tex]

[tex]\large {\boxed {X = 24} }[/tex]

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Final answer:

To calculate the area of the blue border of the circular rug, subtract the area of the red center from the area of the entire rug. Using the area formula for a circle, the area of the blue border is approximately 100.5 square feet when rounded to the nearest tenth.

Explanation:

To find the area of the blue border of Kelsey's circular rug, we first need to calculate the area of the entire rug and then subtract the area of the red circular center. The diameter of the entire rug is 12 feet, which means its radius is 6 feet. Similarly, the diameter of the red center is 4 feet, giving it a radius of 2 feet. We use the formula for the area of a circle, A = πr^2, where A is the area and r is the radius.

First, we calculate the area of the entire rug with a radius of 6 feet:
Atotal = π * 6^2 = π * 36 = 36π square feet.

Next, we calculate the area of the red center with a radius of 2 feet:
Acenter = π * 2^2 = π * 4 = 4π square feet.

Now, we subtract the area of the red center from the total area to find the area of the blue border:
Aborder = Atotal - Acenter = 36π - 4π = 32π square feet.

To provide an answer rounded to the nearest tenth, we approximate π to 3.14:
Aborder ≈ 32 * 3.14 ≈ 100.48 square feet, which rounds to 100.5 square feet as the area of the blue border.

That is your answer if it is wrong i will try to fix it

Answer:

1/3

Step-by-step explanation:

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Final answer:

Given 400 meters of fencing, constructing a square pen would result in an area of 10,000 square meters, while a circular pen would yield approximately 12,732 square meters, making the circular pen the larger option.

Explanation:

Ernesto wants to construct the largest possible pen for his iguana using 400 meters of fencing. To determine the maximum area of a rectangular pen, we can use the principle that a square will always provide the largest area for a given perimeter. In the case of a rectangular enclosure, we form a square with each side being one-fourth of the total available fencing, here being L/4 where L is 400 meters. Thus, each side of the square would be 400/4 = 100 meters. The area of such a square would be side × side = 100 m × 100 m = 10,000 square meters.

For the circular pen, the entire length of fencing would be the circumference of the circle. Given the formula for circumference is C = 2πr, where r is the radius, we set 400 = 2πr to solve for r, which is approximately 63.66 meters. The area of a circle is given by A = πr², which would then be approximately π(63.66)^2 ≈ 12,732 square meters. Therefore, a circular pen would provide a larger enclosed area compared to a square one given the same amount of fencing.

A cross section obtained by cutting a right rectangular prism with a square base parallel to its base will also be a C. square, as it reflects the shape of the prism's base.

The question is asking about the shape of a cross section obtained by cutting a right rectangular prism with a square base parallel to its base. Such a cut would expose a shape on the surface of the prism that directly corresponds to the shape of the base. Since the base is given as a square, the cross section in this case would also be a square. The hypothesis of the right angle implies that the sides of the prism are perpendicular to the base, thereby maintaining the square shape upon slicing parallel to the base.

The cross section would not be a triangle (option A) or a trapezoid (option B), as these shapes do not correspond to a square base. It would not be a rectangle that is not a square (option D), because the length and width of the cross section would be the same, maintaining its square shape. Therefore, the correct answer is option C - a square.

To approximate the weight of a cone-shaped pile of sand, find the volume of the cone using the formula V = (1/3)πr²h. Multiply the volume by the weight of one cubic foot of sand (100 pounds) to find the weight of the pile. Round to the nearest hundred pounds.

To approximate the weight of a cone-shaped pile of sand, we first need to find the volume of the cone.

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Let's say the radius is 2 feet and the height is 5 feet.

Plugging these values into the formula, we get V = (1/3)π(2²)(5) = 20π.

Now, since one cubic foot of sand weighs about 100 pounds, we can multiply the volume of the cone by 100 to find the approximate weight.

Therefore, the weight of the cone-shaped pile of sand is approximately 20π × 100 = 2000π pounds.

Rounding to the nearest hundred pounds, the weight is approximately 6283 pounds.

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It says that she withdrew 525 dollars from a saving account over a total period of 14 days.

As this amount is debited from her account, so it would be a negative number in her passbook i.e. -525 dollars.

To find the average change in the account balance, we can divide the total amount withdrawn from the account by the total number of days.

Average change in account balance = [tex]\frac{debited \;amount}{total \;time \;period}[/tex] .

Average change = [tex]\frac{-525}{14}[/tex]

Hence, option A is correct i.e. [tex]\frac{-525}{14}[/tex].

Answer:

m-2/m=m^2-3m+2/m^2-m

m-1=m^2-2m+2m+1/m-1

Step-by-step explanation:

Part A: The expression [tex]4\cdot d[/tex] represents the number of strawberries Heather needs for the desserts.

Here, the variable "d" represents the number of desserts Heather will make.

Part B:  Heather has 24 ounces of strawberries, she can make 6 desserts.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are composed together according to specific rules to represent a computation or relationship of mathematics. It can be thought of as a mathematical phrase or formula.

Part A: Let's represent the number of desserts Heather will make with the variable "d".

The expression that represents the number of strawberries Heather needs for the desserts can be written as:

[tex]4 \times d[/tex].

Here, the variable "d" represents the number of desserts Heather will make.

Part B: If Heather has 24 ounces of strawberries, we can set up an equation to determine the number of desserts she can make.

[tex]4 \times d[/tex] = 24 ounces.

To solve for "d," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 4 ounces/dessert:

d (desserts) = [tex]\frac{24}{4 }[/tex]

Simplifying the right side of the equation:

d (desserts) = 6 desserts.

Therefore, Heather can make 6 desserts with 24 ounces of strawberries.

Therefore, [tex]4 \times d[/tex] represents the number of strawberries, where variable "d" is the number of desserts and Heather can make 6 desserts with 24 ounces of strawberries.

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