8. Evie buys colored
Pencils for $3.79
markers for $5.80, and
paper for $2,57, She
Pays 6.25% Sales tax.
How much does she
spend total?

Answer:

8

S-by-step explanation:

Answer:

There are three 2's common to both numbers, so 2*2*2 = 8 is the "greatest common factor" (GCF) of 16 and 24.

Answer: The game ended at 3:22 PM

11:35 + 3 hours is 2:35. Add that to 47 minutes, it's 82. Since there's 60 minutes in one full hour, you subtract 82 by sixty, and you get 22. So, it ended at 3:22 PM

Answer:

3:22. So first I turned the hours of 3 hours and 47 minutes into minutes which is 277 minutes then I added.

To find the inverse of a parent function, use the following steps:

1. Switch the x and y variables.

2. Solve the equation for y.

3. Replace y with f-1(x).

4. Simplify the equation.

The inverse of a parent function is a new function that is the "reverse" of the original function. This can be found by switching the x and y variables and solving for y. Once you have switched the variables and solved for y, replace y with f-1(x). This is the notation for the inverse of a function. Simplifying the equation will give you the inverse of the original function. For example, if the function is y = 2x + 1, first switch the variables to x = 2y + 1. Then solve for y to get y = (x - 1)/2. Replace y with f-1(x) to get f-1(x) = (x - 1)/2. Simplifying this equation gives you the inverse of the original function, f-1(x) = (x - 1)/2.

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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A BASE jumper will fall 324 feet in 4.5 seconds.

What are velocity ?

velocity is a unit of measurement for the Distance an object travels in a

the predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by dividing the total Distance traveled by the journey time.

We can use the given function to find out how far a BASE jumper will fall in 4.5 seconds:

d = 16t²

where d is the distance (in feet) and t is the time (in seconds).

Substitute t = 4.5 into the formula:

d = 16(4.5)²

d = 324

Therefore, a BASE jumper will fall 324 feet in 4.5 seconds.

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Answer:

3/32-pound cheese in 1 serving

Step-by-step explanation:

(3/8)/4=3/32 or 0.09375 lbs

Answer:

876

Step-by-step explanation:

1200(0.27)

324

1200-324

876

Hope this helps

The statement "the San Gabriel Mountains are 60 miles lengthy, 24 miles wide, and more or less 10,000 feet high (at their highest)" is true.

The San Gabriel Mountains are a mountain range positioned in Southern California, walking east-west across los angeles County. They stretch for approximately 60 miles from the Cajon bypass inside the east to the San Fernando Valley inside the west and are around 24 miles wide.

The best peak within the range is Mount San Antonio, also referred to as Mount Baldy, that is kind of 10,000 ft high. The San Gabriel Mountains are a famous destination for out of doors sports consisting of hiking, camping, and snowboarding, and are an vital supply of water for the los angeles place.

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EXPLANATION

In order to turn -2x + 10y = 2 into slope-intercept form:

First, as we know, the generic slope-intercept form is:

y= mx + b

where m is the slope and b is the y-intercept

Going back to our equation:

-2x + 10y = 2

Adding +2x to both sides:

-2x + 2x + 10y = 2 + 2x

Adding similar terms:

10y = 2 + 2x

Dividing both sides by 10:

10y/10 = 2/10 + 2x/10

Simplifying:

y = 1/5 + x/5 --> Slope-intercept form

The circumference of the circle in a basketball court that has to be painted which has a radius of a feet is 2π.

The circumference of a circle is the distance around its edge. It is a key measurement of a circle and is used in many applications, such as finding the length of a rope needed to go around a circular object.

The formula for the circumference of a circle is given by C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. The constant π is used to represent the relationship between the diameter and the circumference of a circle.

In this case, the circle has a radius of a feet, so the circumference of the circle can be calculated as follows:

C = 2π

The units of measurement for the circumference will be the same as the units of measurement for the radius, in this case feet.

So, the circumference of the circle with a radius of a feet is 2π feet, expressed in terms of π.

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Answer:

2167.2

Step-by-step explanation:

Answer:

2167.2

Step-by-step explanation:

For this problem, let's use the distributive property to make this multiplication easier.

4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.

Now let's multiply these numbers with 516.

(516 * 4) + (516 * 1/5) == ?

(2064) + (103.2) == ?

2167.2 == ?

So the product of 516 and 4.2 is equal to 2167.2.

Cheers.

Answer:

a

Step-by-step explanation:

x + y = 15 →→ (1)

y = x² - 5 → (2)

substitute y = x² - 5 into (1)

x + x² - 5 = 15 ( subtract 15 froim both sides and arrange into standard form )

x² + x - 20 = 0 ← in standard form

(x + 5)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 4 = 0 ⇒x = 4

substitute these value into (2) for corresponding values of y

x = - 5 → y = (- 5)² - 5 = 25 - 5 = 20

x = 4 → y = 4² - 5 = 16 - 5 = 11

solutions are (- 5, 20 ) and (4, 11 )

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

What is Taylor Series?

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the derivative of the function at a single point. For most common functions, the function and the sum of its Taylor series near this point are the same.

To find the Taylor series for the function f(x) = x⁴ - 6x² + 1 centered at a = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

First, let's find the values of f(a) and its derivatives at x = a = 2:

f(2) = (2)⁴ - 6(2)² + 1 = 16 - 24 + 1 = -7

f'(x) = 4x³ - 12x

f'(2) = 4(2)³ - 12(2) = 32 - 24 = 8

f''(x) = 12x² - 12

f''(2) = 12(2)² - 12 = 48 - 12 = 36

f'''(x) = 24x

f'''(2) = 24(2) = 48

Now, we can substitute these values into the Taylor series formula:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

f(x) = -7 + 8(x - 2)/1! + 36(x - 2)²/2! + 48(x - 2)³/3! + ...

Simplifying the terms:

f(x) = -7 + 8(x - 2) + 18(x - 2)² + 8(x - 2)³ + ...

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

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An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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Answer:

42 OR 35

Step-by-step explanation:

Based on the information supplied, the estimated age of archaeological sample is = 0.183536  years.

The given half life is 5730.

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate of change,

k = 0.00012 year⁻¹

Given that 15 % of the 14C is still present,

|A1|/|A2| = e ⁻₍kt₎3

Consequently,

|A1|/|A2| = 0.18

As a result of solving the equation, we obtain,

ln(0.18)= -1.7147

t = -0.31471/ —1.7147

= 0.183536  years

The half-life is the amount of time required for a quantity (of material) to drop to half of its initial value (symbol t12). The phrase is widely used in nuclear physics to emphasise how quickly unstable atoms decay radioactively or how long stable atoms remain. The term is often used to denote any type of exponential decay (or, very infrequently, nonexponential decay).

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The surface defined by the equation y = z²/13 + x²/15 is an elliptical paraboloid.

An elliptical paraboloid is a three-dimensional surface that resembles an elliptical shape when viewed from the top and a parabolic shape when viewed from the side. In this case, the equation represents a combination of x and z terms with squared coefficients, which indicates a parabolic shape along the x and z axes.

To understand the shape of the surface, let's examine each term separately. The term x²/15 represents a parabola along the x-axis, with the vertex at the origin (0, 0, 0) and the axis of symmetry parallel to the z-axis. Similarly, the term z²/13 represents a parabola along the z-axis, with the vertex at the origin and the axis of symmetry parallel to the x-axis.

When these parabolic shapes are combined, they form an elliptical paraboloid. As you move along the x-axis or the z-axis, the surface rises or falls, respectively, following the parabolic curves. The combination of these curves creates an elliptical shape when viewed from the top.

In conclusion, the surface defined by the equation y = z²/13 + x²/15 is an elliptical paraboloid with parabolic curves along the x and z axes. It exhibits both elliptical and parabolic characteristics, depending on the viewing angle.

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The coordinate points of the solid circles indicates that the reason the graph is not a function is the option;

A function is a rule or definition which maps the elements of an input set unto the elements of output set, such that each element of the input set is mapped to exactly one element of the set of output elements.

The location of the solid circles on the coordinate plane are;

(-2, -5), (-1, 3), (1, -2), (3, 0), (4, -2), (4, 4)

The above coordinates can be arranged in a tabular form as follows;

x;\({}\) -2, -1,   1,  3,   4, 4

y; \({}\)-5, 3,  -2,  0, -2, 4

The above coordinate point values indicates that the x-coordinate point x = 4, has two y-coordinate values of -2, and 4, therefore, a vertical line drawn at the point x = 4, on the graph, intersect the graph at two points, y = -2, and y = 4, therefore, the data does not pass the vertical line test and the graph for a function, which indicates;

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The classification of the compounds according to their functional class: A | Aldehyde

B | Alcohol

C | Ketone

D | Amine

Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.

They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.

Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.

Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.

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For a 10,000 linear feet of fencing and wants to enclose a rectangular field, the maximum area of each pasture is equals to the 2,083,333.33 square feet .

A rancher wants to enclose about 10,000 linear feet of fencing in a rectangular field. There are two equal pastures. Let, W the Width and L the Length with 3 pieces. The total length will be equal to 2W + 3L. As we know, the Area of rectangle, A = L×W ---(1)

Perimeter of rectangle = 10,000 feet, so sum of all sides of rectangle, 2W + 3L = 10000

Solve for determining value of L, 3L

= 10000 - 2W

\(L = \frac{ 10000 - 2W }{3}\)

Substitutes for L into the first equation, A = L×W

\(A = W(\frac{ 10000 - 2W }{3})\)

For maximum area, set the 1st derivative = 0.

differentiating above Area equation w.r.t W,\( A = \frac{(10000 \: W - 2W^2)}{3}\)

\( \frac{dA}{dW} = \frac{d(\frac{10000 \: W - 2W^2}{3})}{dW}\)

=> \(\frac { 1}{3}(10000 - 4W) = 0 \)

=> W = 2500 meters

Now, using above relation, 2W + 3L= 10000

=> 5000 + 3L = 10000

=> 3L = 5000

=> L = 1667 meters

Area = 2500× 5000/3 = 4,166,666.67 sq feet. Now, maximum area of each pasture

= 4,166,666.67/2 = 2,083,333.33333 sq. feet. Hence, required value is 2,083,333.33 sq. feet.

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The value of x from the expression 3/4 x +3-2x = -1/4 +1/2x+5 can be simplified as 45/29.

The concept that will be used is simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

3/4x +3-2x = -1/4 +1/2x+5

We can simplify by collecting the like terms,

3/4x - 1/2x - 2x = -1/4 + 5 -3

Then we can simplify further as:

-29x/20 = - 9/4

29x = (20*9)/4

29x= 45

x= 45/29

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Answer: I think it is 521 inches cubed

Step-by-step explanation:

First, I found the surface area of the shape on the bottom. Then I did the same thing for the shape on the top and added them together. But I noticed there was one side on the top shape that I had to subtract from the total. That is how I got 521. But I'm not sure.

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer: 3 x 9.63 = 28.89

Hope this helps!

Answer:

28.89

Step-by-step explanation:

Product means Multiplication, so you just multiply 3 x 9.63, and that equals to 28.89.

Hope this works.

Answer:

\( \frac{10}{4} \)

hlo

Answer:

The correct answer is \(\frac{4}{9}\).

Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square

Step-by-step explanation:Best fit options for each question.

To find the velocity, v, of the tip of the minute hand of a clock, we first need to determine the circumference of the circle traced by the tip of the minute hand. Since the length of the minute hand is 11 cm, the radius of the circle is also 11 cm.

The circumference (C) of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, r = 11 cm, so:

C = 2π(11 cm) = 22π cm

Since the minute hand takes 60 minutes (1 hour) to complete one full rotation, the tip of the minute hand travels the entire circumference in 1 hour.

Now, we can calculate the velocity (v) by dividing the circumference by the time taken to travel that distance:

v = C / time
v = (22π cm) / (60 minutes)

To convert minutes to seconds (since velocity is typically measured in cm/s), we multiply by 60:

v = (22π cm) / (60 minutes × 60 seconds/minute)
v = (22π cm) / (3600 seconds)

So, the velocity of the tip of the minute hand is:

v = (11π/1800) cm/s

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It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

x+15 dollars

Step-by-step explanation:

x could be any number, but if you add 15 to x, it would be x+15. Since you don't know what x is, you can't do anything else.