is 3.4*10 ^ 8 a correct scientific notation

Answer:

NO

Step-by-step explanation:

Answer:

andrew

Step-by-step explanation:

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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The  width of the river, RS, is 102 ft.

To find the width of the river, we can use the concept of similar triangles.

Let's analyze the given information and the diagram provided:

We have a right triangle TRS, where RS is the width of the river, and RT is the distance Karl walks along the edge of the river.

Karl then turns 90° and walks until his location (point U), point S, and point Q are collinear, forming a right triangle SUQ.

We are given that TU = 68 ft and that the distance Karl walks from S to U is 28 ft.

Now, let's consider the similar triangles TRS and SUQ:

Since TRS and SUQ are similar, their corresponding sides are proportional.

The ratio of the length of the corresponding sides is:

RS / TU = RT / SU

Substituting the given values, we have:

RS / 68 ft = 42 ft / 28 ft

To solve for RS, we can cross-multiply and solve for RS:

RS \(\times\) 28 ft = 68 ft \(\times\) 42 ft

RS = (68 ft \(\times\) 42 ft) / 28 ft

RS = 102 ft.

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Answer:

hiii <33

Step-by-step explanation:

Answer:

\(y - 4 = - 3(x - 2)\)

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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The two stem plots (with and without splitting the leaves) are plotted below using the data given in the attached picture :

The stem and leaf plots are given below:

Rounding the data to the nearest 10;

The values obtained are :

630, 670, 740, 650, 710, 740, 720, 700, 650, 600, 780, 780, 790, 810, 830, 860, 860, 900, 810, 790, 790, 960, 870

Ordering the data allows for easier generation of the plot.

Ordered data : 600, 630, 650, 650, 670, 700, 710, 720, 740, 740, 780, 780, 790, 790, 790, 810, 810, 830, 860, 860, 870, 900, 960

The stem plot without splitting :

STEM __ LEAF

6 ___ 00, 30, 50, 50, 70

7 ___ 00, 10, 20, 40, 40, 80, 80, 90, 90, 90

8 ___ 10, 10, 30, 60, 60, 70

9 ___ 00, 60

KEY :  6 | 00 = 600

The stem plot WITH splitting :

STEM __ LEAF

6 ___ 00, 30

6 ___ 50, 50, 70

7 ___ 00, 10, 20, 40, 40

7 ___ 80, 80, 90, 90, 90

8 ___ 10, 10, 30

8 ___ 60, 60, 70

9 ___ 00

9 ___ 60

KEY :  6 | 00 = 600

The stem plot with splitting gives a cleaner and more arranged output of the data as the values aren't congested on a single line.

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Answer:

(-8, 1) (0, 2)

Step-by-step explanation:

line up the dots and then u do slope

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Given the Right Triangle shown in the picture (a Right Triangle has an angle that measures 90 degrees) you can find the length of the missing side "x" by using this Trigonometric Function:

In this case, you can identify that:

Then, you can substitute values and solve for "x":

Hence, the answer is:

By using L' hospital rule the value of lim(x→∞) x^(1/3x) is 0

The given limit is lim(x→∞) x^(1/3x)

Rewriting this expression in exponential form:

lim(x→∞) e^(ln(x^(1/3x)))

Using the properties of logarithms:

= lim(x→∞) e^((1/3x)ln(x))

Now, we can apply L'Hôpital's Rule by differentiating the numerator and denominator with respect to x:

= lim(x→∞) [(1/3x) × ln(x)]/ [1]

Differentiating the numerator and denominator:

= lim(x→∞) [(1/3x)×(1/x)×ln(x) + (1/3x) × (1)] / [1]

Taking the limit as x approaches infinity, the second term in the numerator ((1/3x)) approaches 0 as x tends to infinity.

Therefore, we are left with= lim(x→∞) [(1/3x^2) × ln(x)] / [1]

Again, taking the limit as x approaches infinity, the term (1/3x²) approaches 0 as x tends to infinity. Hence, we have:

= lim(x→∞) [0 × ln(x)] / [1]

= 0

Therefore, by using L' hospital rule the value of lim(x→∞) x^(1/3x) is 0

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Answer: its called a additive inverse

Step-by-step explanation:

Answer:

the opposite positive number is negative, and the opposite to a negative number is positive.

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite number, sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

Answer:

40% decrease

Step-by-step explanation:

Angle b is equal to 35°, angle a and angle e are each equal to 145°

An angle is formed when two lines intersect at a point. Types of angles are acute angle, obtuse angle and right angle. Vertical opposite angles are always congruent to each other. The sum of angles along a straight line is supplementary (add up to 180 degrees)

From the diagram:

b = 35° (vertical opposite angles are congruent)

a + b = 180° (sum of angles along a straight line)

a + 35 = 180

a = 145°

a = e = 145° (vertical opposite angles are congruent)

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In terms of part A, the solution set is a triangular region with vertices at (0,4), (2,3), and (4,0).

Part B: Yes, the point (2, 3) included in the solution area for the system.  The solution of the inequalities is (4, 0).

Part C. I choose the point (1,3) in the solution set. This implies that Michael can buy 1 cupcake and 3 pieces of fudge with $16 as well as feed at least 4 siblings.

Part A: The inequalities limit Michael's purchase of cupcakes and fudge with $16 to feed at least 4 siblings. The first one, 4x + 2y ≤ 16, restricts the total cost to be $16 or less. To graph y ≤ -2x + 8, draw the line with slope -2 and y-intercept 8, and shade below it. The inequality x + y ≥ 4 means Michael must feed at least 4 siblings. It can be graphed as y ≥ -x + 4, a line with slope -1 and y-intercept 4. To graph the inequality, draw a dashed line with slope -1 and y-intercept 4. Shade the region above the line for y ≥ -x + 4. The solution set is the intersection of the shaded regions. Triangle with vertices (0,4), (2,3), and (4,0).

Part B:

To check if (2,3) is in solution area, we test if it satisfies both inequalities. We substitute x=2, y=3 into 4x + 2y ≤ 16 and get 14. When x=2 and y=3 in x+y≥4, we get 5, which is true. However, (2, 3) is not included in the solution area because it does not satisfy 2x+y≤8.

Part C:

Let select (2,2) in the solution set. Michael can buy 2 cupcakes and 2 pieces of fudge while feeding 4 siblings within his budget. Michael can spend $8 on 2 cupcakes and $4 on 2 fudge pieces to feed his siblings. Michael can buy various combinations of cupcakes and fudge within his budget to feed at least 4 siblings.

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See full question below

Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.

This system of inequalities models the scenario:

4x + 2y ≤ 16

x + y ≥ 4

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)

Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)

Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)

25 ( 39 -9)

6 (6)

25 × 30

6 6

125

6

20 5 [ans]

6

Answer:

3x = 6y

Step-by-step explanation:

8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.

Answer:

cost for 18 apples:  $3.38

$5 will buy 26 apples

Step-by-step explanation:

let 'a' = apples

1.50/8 = cost per apple

$0.1875 for one apple

cost for 18 apples:  0.1875 x 18 = $3.38

5.00 / 0.1875 = number of apples for $5  → 26

Answer: 0.876, 9.123

Step-by-step explanation:

The function is \(y=-x^2+10-8\)

It meets the ground level when \(y\) is 0

\(\Rightarrow -x^2+10x-8=0\\\Rightarrow x^2-10x+8=0\\\\\Rightarrow x=\dfrac{10\pm \sqrt{(-10)^2-4(1)(8)}}{2}\\\\\Rightarrow x=\dfrac{10\pm \sqrt{68}}{2}\\\\\Rightarrow x=5\pm \sqrt{17}\\\Rightarrow x=0.876,\ 9.123\)

Thus, it touches the ground at two points given above

The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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