Which equation correctly shows the relationship between the numbers 6,560 and 656?

Answer:

3c4 Is equal to 12 because c means ×

Answer:

its a

Step-by-step explanation:

got it right on the test.

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1. We can see that the number in the bottom box is: 13.5yd.

2. The number in the top box is: 7.5yd.

3. The area of the table = 78.75yd²

A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.

We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.

Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.

Thus, the area of the table, a trapezoid = 1/2(a + b)h

Where a = 7.5yd

b = 13.5yd

height, h = 7.5yd.

Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75

∴ Area of the table, A = 78.75yd²

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Answer:

Step-by-step explanation:

It has a center at (3,5)  and r=4

Draw your center then go out 4 up, down, left, and right

Domain = [(3-4),(3+4)] = [-1, 7]    this is where the function exists for x

Range = [(5-4), (5+4)] = [1, 9]    this is where the function exists for y

Answer:

(a)

i) \(V=12.6m/s\)

ii) \(V=12.06m/s\)

iii) \(V=12.006m/s\)

(b)

\(V = 10m/s\)

Step-by-step explanation:

Given

\(s = 6t^2 + 4\)

Solving (a): Average velocity between t = 1 and t = 1 + h

When t = 1

\(t_1 = 1\)

\(s_1 = 6t^2 + 4 = 6 * 1^2 + 4 = 6 + 4 =10\)

i) h = 0.1

When t = 1 + h

\(t_2 = 1 + 0.1 = 1.1\)

\(s_2= 6t^2 + 4 = 6 * (1.1)^2 + 4 = 11.26\)

Average velocity is then calculated as:

\(V = \frac{s_2 - s_1}{t_2 - t_1}\)

\(V = \frac{11.26 - 10}{1.1- 1} = \frac{1.26}{0.1} = 12.6\)

\(V=12.6m/s\)

ii) h = 0.01

When t = 1 + h

\(t_2 = 1 + 0.01 = 1.01\)

\(s_2= 6t^2 + 4 = 6 * (1.01)^2 + 4 = 10.1206\)

Average velocity is then calculated as:

\(V = \frac{s_2 - s_1}{t_2 - t_1}\)

\(V = \frac{10.1206 - 10}{1.01- 1} = \frac{0.1206}{0.01} = 12.06\)

\(V=12.06m/s\)

ii) h = 0.001

When t = 1 + h

\(t_2 = 1 + 0.001 = 1.001\)

\(s_2= 6t^2 + 4 = 6 * (1.001)^2 + 4 = 10.012006\)

Average velocity is then calculated as:

\(V = \frac{s_2 - s_1}{t_2 - t_1}\)

\(V = \frac{10.012006 - 10}{1.001- 1} = \frac{0.012006 }{0.001} = 12.006\)

\(V=12.006m/s\)

Solving (b): Instantaneous velocity at t = 1

When t = 1

\(t = 1\)

\(s = 6t^2 + 4 = 6 * 1^2 + 4 = 6 + 4 =10\)

Velocity is:

\(V = \frac{s}{t}\)

\(V = \frac{10}{1}\)

\(V = 10m/s\)

Answer:

i don't know

Step-by-step explanation:

to be honest

1) The length of the rectangle is 15 feet and its width is 9 feet.

2) The admission price for an adult ticket is $10 and a student ticket is $6.

1) We shall use the formula for the area of a rectangle to find the length and the width:

A = l * w

where:

A = Area.

l = length

w = width.

Given:

l = 6 feet more than the width.

A = 135 feet square meter

First, we write an equation for the area like this:

(w + 6) * w = 135

Expanding the equation:

w² + 6w - 135 = 0

Next, solve the quadratic equation by factoring:

(w - 9)(w + 15) = 0

So either w - 9 = 0 or w + 15 = 0. This means that either w = 9 or w = -15. Since the width cannot be negative, we have w = 9.

Finally, we shall find the length since we know the width. This can be done by using the fact that it is 6 feet more than the width:

l = w + 6 = 9 + 6 = 15

So, the length is 15 feet and the width is 9 feet.

2) We can find the admission price for an adult ticket and a student ticket by using Mathematical operators:

Let,

a = an adult ticket price

s = a student ticket price

From the given information, we get these equations:

5a + 11s = 116

3a + 4s = 54

Next, solve by substitution.

Solving for 'a' in the second equation:

a = (54 - 4s) / 3

Then, substitute the second expression for 'a' into the first equation:

5((54 - 4s) / 3) + 11s = 116

Multiply both sides by 3:

5(54 - 4s) + 33s = 348

Finally, expand and simplify:

270 - 20s + 33s = 348

13s = 78

s = 6

So, a student ticket costs $6.

Plug this value into either equation to get the adult ticket price:

3a + (4 * 6) = 54

3a + 24 = 54

3a = 30

a = 10

So, an adult ticket costs $10.

Therefore,

1) The length of a rectangle is 15 feet and the width is 9 feet

2) The admission price for an adult ticket is $10 and that of a student is $6

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Answer:

Slope = 1/2

Step-by-step explanation:

Subtract 5x from one side to get y alone, then divide by 10 to completely get rid of the 10y. 5 divided by 10 is 5/10, or 1/2

Hope this helps :)

Answer:

(8,3)

Step-by-step explanation:

Edge 2020 hope this helps =)

Answer:

Answer D On edge

Step-by-step explanation:

i took the test

Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

The solution to the system of two equations is (x,y) = (10, -25.5).

An equation is a mathematical statement that two expressions are equal. It is written in the form of an equality sign, which is a line with two dots on either side. The expressions on either side of the equality sign represent the same value. Equations are used to solve problems, compare quantities, and describe relationships between variables. In addition, equations are often used to describe physical laws and scientific theories.

To solve the system of equations, one must first isolate the variables by subtracting one of the equations from the other. Subtracting equation 1 from equation 2 results in equation 2 having x terms on one side and y terms on the other.

3x + 4y = 19
-5x - 2y = -1

--------------------------------
-2x = -20

Now, solve for x by dividing both sides by -2.

x = 10

Next, substitute x = 10 into equation 1 and solve for y.

5x + 2y = −1
5(10) + 2y = -1
50 + 2y = -1
2y = -51
y = -25.5

Therefore, the solution to the system of two equations is (x,y) = (10, -25.5).

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As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

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Answer:

The value of x will be:

\(x=22\sqrt{2}\)

or

\(x = 31.1\)

Step-by-step explanation:

Given

To determine

hypotenuse x = ?

For a right-angled triangle with sides, a and b the hypotenuse c is defined as

\(c=\sqrt{a^2+b^2}\)

substituting a = 22, b = 22 and c = x

\(x=\sqrt{22^2+22^2}\)

\(x=\sqrt{22^2\cdot \:2}\)

Apply radical rule:  \(\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0\)

\(x=\sqrt{2}\sqrt{22^2}\)

\(x=22\sqrt{2}\)

or

\(x = 31.1\)

Therefore, the value of x will be:

\(x=22\sqrt{2}\)

or

\(x = 31.1\)

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

4+(3 times x)= height of balloon.   x = seconds

Step-by-step explanation:

I hope this helps you! :D

Answer:

Step-by-step explanation:

For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).

For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).

Choose 6 of them. Repetition is allowed, and order matters.

There are 10⁶ possible choices.

There are 8×10⁶ possible phone numbers.

Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

Answer: 0.231392

Step-by-step explanation:

Answer: .231392

you can use a calculator right?

Answer:

40

Step-by-step explanation:

=125x32

=4,000÷100

=40

Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.

The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:

likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles

So, in this case, the likelihood of selecting a yellow marble on the first draw is:

likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3

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Answer:

1) a

6x - 28 》 14

<=> 6x 》 42

<=> x 》 7

2) c

x/9 + 2 < 5

<=> x/9 < 3

<=> x < 27

Step-by-step explanation:

....... .........

The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.

Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.

The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.

To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.

Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.

To determine its present value, we divide it by the discount factor (1+0.065)²,

which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.

This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.

The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.

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Answer:

e=2

Step-by-step explanation:

7(2e−1)−3=6+6e

Distribute

14e -7 -3 = 6+6e

14e -10 = 6+6e

Subtract 6e from each side

14e-6e -10 = 6+6e-6e

8e -10 =6

Add 10 to each side

8e -10+10 = 6+10

8e = 16

Divide by 8

8e/8 = 16/8

e=2

The effect of the lease on Lakeside’s earnings for the first year is $20,000

What is the annual rent payments receivable by Lakeside Inc?

The annual rent payments are determined as the quarterly rent payments of $30,000 each multiplied by quarterly periods of 4 in a year as computed below:

annual  rent payments =$30,000*4

annual  rent payments =$120,000

annual depreciation=cost of office space/useful life

cost of office space=$2.5 million

useful life=25

annual depreciation=$2.5 million/25

annual depreciation=$100,000

The impact on earnings=annual  rent payments-annual depreciation

The impact on earnings=$120,000.00-$100,000.00

The impact on earnings=$20,000.00

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If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.

If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.

Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.

The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.

To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:

P(drawing two green cards) = 1 x 12/51

Simplifying this expression, we get:

P(drawing two green cards) = 12/51

Therefore, the probability of drawing two green cards is approximately 0.235.

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Step-by-step explanation:

what's the problem ?

you need to calculate the area of each rectangle and sum them all up.

that is then the total surface area of the whole prism (or "box").

we have 2 rectangles of 4×3.8

2 rectangles of 11.5×3.8

and 2 rectangles of 11.5×4

so, the total is

2×4×3.8 + 2×11.5×3.8 + 2×11.5×4 = 30.4 + 87.4 + 92 =

= 209.8 m²

Answer:

u

Step-by-step explanation:

u

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,

1.) The top three countries country A, country B, and country C won a total of 120 medals.

A + B + C = 120

2.) Country B won 11 more medals than country C

B = C + 11

3.) Country A won 38 more medals than the total amount won by the other two.

A = B + C + 38

A - 38 = B + C

Substitute the value of B+C form the last equation to the first equation,

A + A - 38 = 120

A = 79

Now, Substitue the value of A and B(from second equation)  in the first equation,

79 + C + 11 + C = 120

C = 15

Now, substitute the value of C in the second equation,

B = C + 11

B = 15 + 11

B = 26

Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.

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