Which is a graph of the solution set of the inequality 3x-4y\le24?

Answer:

option A is the correct answer.

Step-by-step explanation:

Stacy is more likely to flip a tails on the second two tries of the experiment, because there are four possible outcomes with tails on the second two tries (HT, TT, HT, TT) out of a total of eight possible outcomes, which gives a probability of 4/8 or 1/2. On the other hand, there are only three possible outcomes with heads on the first try (H**, T**, H, T) out of a total of eight possible outcomes, which gives a probability of 3/8. Therefore, option A is the correct answer.

Answer:

Exponent Product Rule

Step-by-step explanation:

Exponent multiplication: (a^b)(a^c)= a^(b+c)

t^3=(t^2)t

Because t=t^1, we have

t^2+t^1=t^3

This can be shown by the Exponent Product Rule

Answer:   t²⁺¹

Step-by-step explanation:

The law of exponents states that when multiplying terms with the same base, you ADD the exponents.  Note that "t" has an exponent of 1.

t³ = (t²)t¹ = t²⁺¹

I hope this is what you were looking for.

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer:

x and 2x+1

Step-by-step explanation:

Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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Answer:

Step-by-step explanation:

Sam published his first book, a collection of poetry, at the age of 16.

Answer:

2/3

Step-by-step explanation:

p(B/A)=[P(A&B)]/p(A)

2/3=[P(A&B)]/(1/2)

P(A&B)=2/3 *1/2=1/3

P(A&B)=P(A)*P(B)

1/3=1/2*P(B)

P(B)=1/3*2/1=2/3

Answer:

C 60

Step-by-step explanation:

This is because if you do 303+60=363 and then you do 363/11 you get 33. So x=60

60

Multiply both sides of the equation by 11:

303 + x =363

Move constant to the right side and change its sign:

x = 363 - 303

Then,subtract the numbers:

x = 60

Answer:

$18.28

Step-by-step explanation:

To complete this problem is a straightforward answer:

First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!

Answer:

It's 366. 53*7=371 | 371-5 because the 0th term is -5

Answer:

92

Step-by-step explanation:

Put the scores in order:

60, 75, 80, 90, 94, 95, 100, 100

There are 8 numbers, and the middle two numbers are 90 and 94.

90 + 94 = 184

184/2 = 92

So the median is 92.

Answer:

about 20 I think

Step-by-step explanation:

Answer:

$25, $30

Step-by-step explanation:

3 hours costs $25

Between 3 and 4 hours costs $30

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Mercury-

57

million kilometers.

Scientific notation-

5.7

⋅

10

7

km

Venus-

108

million kilometers.

Scientific notation-

1.08

⋅

10

8

km

Earth-

150

million kilometers

Scientific notation-

1.5

⋅

10

8

km

Mars-

228

million kilometers

Scientific notation-

2.28

⋅

10

8

km

Jupiter-

779

million kilometers

Scientific notation-

7.79

⋅

10

8

km

Saturn-

1.43

billion kilometers

Scientific notation-

1.43

⋅

10

9

km

Uranus-

2.88

billion kilometers

Scientific notation-

2.388

⋅

10

9

km

Neptune-

4.5

billion kilometers

Scientific notation-

4.5

⋅

10

9

km

Answer:

it is not clear .... please add the question and send the link of the question

Answer:

$712.79

Step-by-step explanation:

The relationships between the figures is a dilation of 3.5 from the small triangle to the big triangle

From the question, we have the following parameters that can be used in our computation:

The two triangles

From the figure, we can see that

These mean that the triangles are related by dilation

The constant of dilation is then calculated as

k = (7, 7)/(2, 2)

Evaluate

k = 3.5

Hence, the scale factor is 3.5

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After calculating the value of 1 cm to 75 m, we have come to find that the width of the lake on the scale drawing is 13.3cm

A drawing of a real object with accurate sizes that have been reduced or enlarged by a certain amount (called the scale).

A floor plan is a scale drawing of the relationships between rooms, spaces, and other physical features at one level of a structure in architecture and building engineering.

In the most basic sense, floor plans (scaled drawings) are a set of instructions used to construct the space (object).

We have given that 1cm is equal to 75 m in a scale drawing of a lake

If 75 m is 1cm

then 1000m is 13.3cm

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Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

\(H_0: \mu=2.4\\\\H_a:\mu> 2.4\)

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58\)

The degrees of freedom for this sample size are:

\(df=n-1=45-1=44\)

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

\(P-value=P(t>2.5801)=0.0066\)

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

The value of x is equal to 6.

The value of y is equal to 7.

In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment DF, we have the following:

Line segment DE = Line segment EF

5x + 3 = 33

5x = 33 - 3

5x = 30

x = 6.

Since E is the midpoint of line segment GH, we have the following:

Line segment GE = Line segment EH

Line segment GH = Line segment EH + Line segment GE

7y - 4 = 24 + 3y

7y - 3y = 24 + 4

4y = 28

y = 28/4

y = 7.

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The length of the radius of the circle is √61.

Here there are two endpoints of the circle (-7,-4) and (3,8)

To find the length between the two points we have a formula:

length = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

So here we have

(\(x_{1} , y_{1}\)) = (-7, -4)

(\(x_{2} , y_{2}\)) = ( 3,8)

Putting the value we have,

\(\sqrt{(3 -(-7)^{2} + ( 8-(-4)^{2} }\)

=\(\sqrt{10^{2} + 12^{2} }\)

=\(\sqrt{100+ 144}\)

=√244

=2√61

The diameter is 2√61

radius = diameter/2

          = 2√61/2

          = √61

Therefore the length of the radius of a circle is √61.

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The statement "every chain is a directed family" can be considered to denote  that for any given chain of subsets of a set S, it can also be considered a directed family of subsets of S.

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A.

In some cases, it can be possible for A and B to be equal; if they are unequal, then A is a proper subset of B.

In the above mathematical expression,  every chain as shown satisfies the two conditions of a directed family:

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The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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The power expression 1 / 5⁸ is the simplified form by algebra properties of (5⁻⁴)².

In this problem we find a power expression that must simplified by means of algebra properties. First, write the entire expression introduced in the statement:

(5⁻⁴)²

Second, use the property for the power of a power:

5⁻⁸

Third, use the property for the power of a power once again:

(5⁸)⁻¹

Fourth, apply the definition of a division:

1 / 5⁸

The simplified form of (5⁻⁴)² is equal to 1 / 5⁸.

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Answer:

Your answer is 10 cause 100 divided by 10 is 10

Step-by-step explanation:

The sum of the geometric progression is the sum S₃ = 32

The sum of terms of a geometric progression is given by

Sₙ = a(rⁿ - 1)/(r - 1) where

Given the geometric progression, aₙ = 4(2)ⁿ⁻¹ comparng it with the general term of a geometric sequence aₙ = arⁿ⁻¹, then

Now, we desire S₃, that is Sₙ when n = 3.

So, S₃ = a(r³ - 1)/(r - 1)

= 4(2³ - 1)/(2 - 1)

= 4(8 - 1)/1

= 4(8)

= 32

So, the sum S₃ = 32

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