Toby throws a coin 2 times.
The outcome of each throw is either Heads (H) or Tails (T).
List all the possible outcomes of the 2 throws.
Use the letters H and T in your listing (eg. HH, ...).

The commutative property said:

a + b = b + a.

So, the expression to represent the total distance is:

5 + 4.5 + 3

By the commutative property, the total distance is equal to:

5 + 4.5 + 3 = 3 + 5 + 4.5,

Therefore, Maya is correct.

Answer: Maya's expression will generate the correct sum because of the commutative property

The constant that will be used in Digby's linear inequality will be 8.

What are linear inequalities, exactly?

Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.

The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.

Now,

Given that The temperature during a winter day was less than 8 degrees Fahrenheit.

let x be the temperature in degree Fahrenheit

then the linear inequality to show the statement will be

x<8 where 8 is a constant

Hence,

          The constant that will be used in Digby's linear inequality will be 8.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

Answer:

The awnser is 8.

Step-by-step explanation:

i just know<33

Answer:

Increase: 1.7

Decrease: 0.3

Step-by-step explanation:

Increase:

100% + 70% = 117%

117/ 100 = 1.7 (multiplier)

Decrease:

100% - 70%= 30%

30/ 100 = 0.3 (multiplier)

Answer:

AC=30

BD=30

BE=15

AB=27

Answer:

AC = 30, BD = 30, BE = 15, AB = 27, BC = 13.1

Step-by-step explanation:

AC = AE * 2

BD = BE * 2

BE = AE

AB = CD

BC = \(\sqrt{30^{2}-27^{2} }\) (Pythagorean theorem)

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

To know more about speed:

https://brainly.com/question/31756299

#SPJ1

Answer:

b.False it equals x=1

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?

The expression (2.3)⁵ is equivalent to 2.3 x 2.3 x 2.3 x 2.3 x 2.3

Step-by-step explanation:

\(2.3 \times 2.3 \times 2.3 \times 2.3 \times 2.3\) will be equivalent to \(2.3^{5}\).

\(2.3^5\) is a shorted way of saying 2.3 multiplied by itself 5 times.

Solving:

\(2.3 \times 2.3 \times 2.3 \times 2.3 \times 2.3\)

\(5.29 \times 2.3 \times 2.3 \times 2.3\) Equivalent.

\(12.167 \times 2.3 \times 2.3\) Equivalent.

\(27.9841 \times 2.3\) Equivalent.

\(64.36343\) Equivalent.

Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

To learn more about probability, please check: brainly.com/question/13234031

#SPJ2

Answer:

6.8

Explanation:

Locate and underline the tenth place 7, and look to the right 8.

Like this. 6.789

Then, the digit to the right 8 is 5 or above. So, we add 1 to the tenth place 7. The digits at the right 8 becomes 0, thus we get 6.8 as the answer.

Answer:

0.1764

Step-by-step explanation:

This problem meets requirement that enables us to use the binomial probability relation :

Probability of success, p = 17% = 0.17

number of trials = 9

(1 - p) = 1 - 0.17 = 0.83

The binomial probability relation :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 9C3 * 0.17^3 * 0.83^6

P(x = 3) = 84 * 0.001606258054361897

P(x = 3) = 0.134925676566399348

P(x = 3) = 0.13492

P(x = 4) = 9C4 * 0.17^4 * 0.83^5

P(x = 4) = 126 * 0.000328992613544003

P(x = 4) = 0.041453069306544378

P(x = 4) = 0.04145

P(x = 3 or x = 4) = P(x = 3) + p(x = 4)

= 0.13492 + 0.04145

= 0.17637

= 0.1764

The infinite product measure \($\mu$\\\) is uniquely defined on the product measure space\($(\Omega, \mathcal{A}, \mu)$\) by Dynkin's theorem, since \($\mu$\\\) is finitely additive, countably subadditive, and \($\sigma$\)-finite.

Let \($\mathcal{A}_1, \mathcal{A}_2, \ldots$\) be a sequence of sigma algebras defined on \($\Omega_1, \Omega_2, \ldots$\) respectively. Let \($(\Omega, \mathcal{A}, \mu)$\) be the product measure space, where \(\Omega = \prod_{i=1}^{\infty} \Omega_i$ and $\mathcal{A} = \bigotimes_{i=1}^{\infty} \mathcal{A}_i$\).

We want to prove that the infinite product measure \($\mu$\) is uniquely defined. To do this, we will use Dynkin's theorem.

According to Dynkin's theorem, a measure \($\mu$\) is uniquely determined on a product measure space \($(\Omega, \mathcal{A}, \mu)$\) if the following conditions are satisfied:

1. \($\mu$\) is finitely additive on \($\mathcal{A}$\)

2. \($\mu$\) is countably subadditive on \($\mathcal{A}$\)

3. \($\mu$\) is \($\sigma$\)-finite on \($\mathcal{A}$\)

It is easy to see that the infinite product measure \($\mu$\)satisfies these conditions, since it is defined as a product of finitely additive, countably subadditive, and \($\sigma$\)-finite measures. Thus, by Dynkin's theorem,\($\mu$\) is uniquely determined on the product measure space \((\Omega, \mathcal{A}, \mu)$.\)

learn more about product here

https://brainly.com/question/29775042

#SPJ4

Answer:

12,13,14

Step-by-step explanation:

Consecutive means something like 1,2,3 or 43,44,45.

So we know the siblings age is something like that.

We start from the youngest, and let's say the youngest's age is x.

Remember consecutive? So the three siblings' age would be x, x+1, x+2 respectively. We can prove this is consecutive by replacing x with a random number, say, 2. That would make x, x+1, x+2 become 2, 2+1, 2+2, which is 2,3,4.

Sum of their age is 39:

Adding x, x+1, x+2 together is 39, so x + x+1 + x+2 = 39

We can further simplify x + x+1 + x+2 = 39 into

3x + 3 = 39

3x = 39-3

3x= 36

x=36÷3

x=12

Remember that x is the youngest age? So naturally the three siblings' ages are 12, 13 and 14 respectively.

Answer:

5/y^3

Step-by-step explanation:

which expression is equivalent to 5y^-3

for example a^-1 = 1/a

5y^-3 = 5/y^3

Answer:

Its 55

Step-by-step explanation:

hope this helps

Answer:

55%

Step-by-step explanation:

Hope this helps you :)

Have a great day!

Answer: 8.5

Step-by-step explanation: 238 / 28 = 8.5

8.5 oz

The package of spaghetti weighs 8.5 ounces.

To find out how many ounces the package of spaghetti weighs, we can use the conversion factor that 1 ounce is equal to 28 grams.

Given that:

package of spaghetti weighs 238 grams, we can convert this to ounces by dividing it by the conversion factor:

= 238 grams / 28 g/oz

= 8.5 ounces

Therefore, the package of spaghetti weighs 8.5 ounces.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ6

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

For more such question on combination visitr;

https://brainly.com/question/28065038

#SPJ8

Answer:

  B. 3x + 7y=63

Step-by-step explanation:

You want the equation of the line through point (7, 6) that is perpendicular to the line -7x +3y = -21.5.

Perpendicular lines have slopes that are opposite reciprocals. When the equation of a line is given in the form ax +by = c, the perpendicular line can be written using the same coefficients as ...

  bx -ay = c' . . . . . where c' is appropriate to the desired point

Here, that means the desired equation will have the form ...

  3x +7y = c'

Only one answer choice has this form:

  B.  3x +7y = 63

__

Additional comment

We can verify the constant is correct using the point (x, y) = (7, 6).

  3(7) +7(6) = 21 +42 = 63 . . . . matches the constant in the chosen equation

<95141404393>

ANSWER

EXPLANATION

The student wants to convert 0.06 gm²/s² to kgm²/s².

To do that, multiply the number in gm²/s² by 0.001.

This means that the empty square will be 0.001 and the "?" will be the number in kgm²/s².

Therefore, we have that the equation is:

The rectangular form of the polar expression \(12(cos\pi+ isin\pi)\) is -12

The given equation is:

\(12(cos\pi+ isin\pi)\)

The above equation is in polar form

Note that:

\(cos \pi = -1\\\\sin\pi = 0\)

Substituting \(cos \pi = -1\) and \(sin \pi = 0\) into the expression \(12(cos\pi+ isin\pi)\) in order to get the rectangular form of the expression

\(12(cos\pi+ isin\pi)\)

=  12(-1   +   1(0))

=  12 ( -1  +  0)

=  12(-1)

=  -12

Therefore, the rectangular form of the polar expression \(12(cos\pi+ isin\pi)\) is -12

Learn  more here: https://brainly.com/question/11731858

Answer:

3.704 and

Step-by-step explanation:

Place a decimal number as the denominator of a fraction with 1 as the numerator, then divide to calculate the reciprocal of a decimal

1/0.27=3.704

1/3.6=0.2778

There is 16 ounces in each pound, how ever many pounds it is multiply 16 by the number of pounds,

Step-by-step explanation:

how ever many pounds it is multiply 16 by the number of pounds,

The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2

The given shape is the right-angled triangle

Such that

We have angles = 30 degrees and 45 degrees

The measure of y can be calculated using the following sine ratio

sin(45) = y/24

Make y the subject

So, we have

y = 24 * sin(45)

When evaluated, we have

y = 12√2

The length x is calculated as

sin(30) = x/y

So, we have

x = y * sin(30)

This gives

x = 12√2 * 1/2

Evaluate

x = 6√2

Hence, the value of x in the triangle is 6√2

Read more about triangles at

https://brainly.com/question/2437195

#SPJ1

Therefore, the recursive formula for the population growth model is:

\(P_n = 0*P_n-1\) And the explicit formula for \(P_n\) is:

\(P_n = 80*(1+0) n\\P_n=80\)

The exponential growth model is a mathematical function that describes the growth of a population or system over time, assuming that the rate of growth is proportional to the size of the population or system. In other words, the model assumes that the growth rate of the population or system increases as the population or system grows larger.

by the question.

To find the recursive formula for the population growth model, we need to use the equation:

\(P_n = r*Pn-1\)

where \(P_n\) represents the population size at time n, Pn-1 represents the population size at the previous time step (n-1), and r represents the growth rate.

Given that the population grows exponentially with Po = 80, we can use the formula:

\(P_n = Po *(1 + r)n\)

where Po is the initial population size and n is the number of time steps.

Using the fact that \(P_1 = 80\), we can solve for the growth rate r:

\(Pq = Po * (1 + r)1\\80 = 80* (1 + r)1\\1 + r = (80/80)^(1/1)\\1 + r = 1^(1/1)\\1 + r = 1\\r = 0\)

To learn more about Exponential:

https://brainly.com/question/28596571

#SPJ1

Answer:

24 m²

Step-by-step explanation:

The area of a rhombus is the product of the two diagonals over 2

Step-by-step explanation:

4n + 3n2 + 2 + n + 6n – 1 Expand with – 1

3n2 + 4n + n + 6n + 2 – 1 Grouped liked terms

3n2 + 11n – 1

g(8x-3)=x

have a good day

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

learn more on area here: https://brainly.com/question/9720037

#SPJ1