A circular railroad crossing sign has a diameter of 30 inches which measurement is the closets to the are of the sign in square inches

Answer:

Step-by-step explanation:

4x is in a multiplication form

4x=36

meaning a number when multiplied with 4 gives the answer 36

hence in order to find the answer

36 divided by 4 which is equivalent to 9

answer is 9

Answer:  \(x = 9\)

Step-by-step explanation:

We must isolate \(x\) on one side of the equation in order to solve the equation \(4x = 36\) for \(x\).

Step 1: Divide both sides of equation by 4:

\(\frac{4x}{4} = \frac{36}{4}\)

Step 2: Simplify

\(x = 9\)

Therefore, the solution to the equation is \(x = 9\).

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Rearranging an algebraic equation so that \(x\) is on one side and all other terms are on the other side of the equal sign is known as isolating \(x\).

To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).

Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.

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Step-by-step explanation:

Given F is 82 Degrees

To find - In Celsius ?

Answer

Using the formula:

\( \frac{9}{5}C + 32 = F \\ = > C = (F - 32) \times \frac{5}{9} \\ C = (82 - 32) \times \frac{5}{9} \\ = > \frac{250}{9}C \\ = > 27.8°C\)

Therefore, The answer is 27.8°C

The value of x that makes the given image to be a rectangle is: x = 2.5

The length of the diagonals of a rectangle are equal and congruent to each other. It is also pertinent to note that the diagonals of a rectangle bisect each other at the center. Thus:

From the given parameters, we see that half of the diagonals have been labelled and as such we have:

8x - 3 = 4x + 7

Rearrange to have like terms on same side and so we have:

8x - 4x = 7 + 3

4x = 10

x = 10/4

x = 2.5

Thus, the value of x from the calculation above of the rectangle is 2.5

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a) The velocity function is determined to be v(t) = -10cos(2t)i, and the acceleration function is a(t) = 20sin(2t)i.

b) At 7 seconds, the particle is traveling in the negative direction along the line.

c) At 3 seconds, the particle is moving towards the origin.

d) At 10 seconds, the particle is slowing down.

a) To find the velocity function, we differentiate the position function with respect to time. The position function given is s(t) = -5sin(2t)i, where i represents the unit vector in the direction of the line. Taking the derivative, we get v(t) = ds(t)/dt = -10cos(2t)i, which gives us the velocity function.

Similarly, to find the acceleration function, we differentiate the velocity function with respect to time. Differentiating v(t) = -10cos(2t)i, we obtain a(t) = dv(t)/dt = 20sin(2t)i, which represents the acceleration of the particle.

b) To determine the direction of the particle at 7 seconds, we look at the sign of the velocity. The velocity function v(t) = -10cos(2t)i gives us a negative value for cos(2t) at t = 7 seconds. Since the negative sign indicates a direction opposite to the positive i-axis, the particle is traveling in the negative direction along the line.

c) To determine whether the particle is moving towards or away from the origin at 3 seconds, we consider the sign of the position function s(t) = -5sin(2t)i. Plugging in t = 3 seconds, we get s(3) = -5sin(6)i. Since sin(6) is positive, the negative sign in front of the position function means the particle is moving towards the origin.

d) To determine whether the particle is speeding up or slowing down at 10 seconds, we look at the sign of the acceleration. The acceleration function a(t) = 20sin(2t)i gives us a positive value for sin(2t) at t = 10 seconds. Since the positive sign indicates acceleration in the same direction as the i-axis, the particle is slowing down at that time.

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Answer:y=4/3x-18/3

Step-by-step explanation:

4x-3y=18

3y=4x-18

y=4/3x-18/3

Answer:

Hi, there your answer is     \(y=\frac{4}{3} x -6\)

Step-by-step explanation:

Let's solve for y.

8x−6y=36

Step 1: Add -8x to both sides.

8x−6y+−8x=36+−8x

−6y=−8x+36

Step 2: Divide both sides by -6.

\(\frac{-6y}{-6} =\frac{-8x+36}{-6}\)

\(y=\frac{4}{3} x-6\)

Hope This Helps :)

There are 2 ways that 3 students be seated in a row of 3 chairs with jack in the first chair

It is the ordered arrangement of members belonging to a set with no repeats.

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

3P3 = 2! / (2-2)!

3P3 = 2! / 0!

3P3 = 2*1 / 1

3P3 = 2

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50%

since 98/2 = 49

Thats it

Answer:

810

Step-by-step explanation:

SP = 729, LOSS = 10.1

\(loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100\)

10 CP = CP x 100 - 729 x 100

729 x 100 = 90 CP

\(cp = \frac{729 \times 100}{90} = 810 \)

Cost Price,

$810

Answer:

D I took this today math 6th grade

Step-by-step explanation:

We will first convert the numbers to be operated on to fractions.

Performing subtraction operation gives:

The average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations, have been computed.

To calculate the average sales quantities for the year before and after the given year, we need the following information: customer names, product names, quarters (1-4), and years. Let's assume we have a dataset containing this information.

1. Year before: To calculate the average sales quantity for the year before the given year, we subtract 1 from the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

2. Year after: Similarly, to calculate the average sales quantity for the year after the given year, we add 1 to the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

By following the above steps, we have computed the average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations. This information can provide valuable insights into sales trends and help businesses make informed decisions regarding inventory management, customer targeting, and forecasting.

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Answer:

× = 4,000,000

Step-by-step explanation:

40 Million = 40,000,000

40,000,000 ÷ 10

=

4,000,000

Checking:

4,000,000 × 10 = 40,000,000/ 40 Million

When dividing by zero, all you do is remove a zero or move the decimal place to the left.

Answer:

6

Step-by-step explanation:

10⁰=1

9⁰=1

7⁰=1

5⁰=1

3⁰=1

1¹⁰⁰=1

so,

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰=1+1+1+1+1+1=6

Answer:

6

Step-by-step explanation:

We are working with exponents

Any number to the power of 0 is 1

a^0 = 1

1 to a power is 1

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰​

1 + 1 + 1 + 1 + 1 + 1

6

The dimensions of the rectangular prisms are:

Prism M: l=4 cm , w=1 cm and h=6 cm

Prism W: l=2 cm , w=2 cm and h=6 cm

Prism Z: l=6 cm , w=1 cm and h=4 cm

Prism J: l=2 cm , w=4 cm and h=3 cm

Prism R: l=2 cm , w=3 cm and h=4 cm

Prism F: l=1 cm , w=8 cm and h=3 cm

Given, a rectangular prism with a volume of 24 cm³

Dimensions of the prism if the volume is 24 cm³.

Prism M:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×4×1=24

4h=24

h=24/4

h=6 cm

Prism W:

l=4 cm and w=2 cm

we know that volume = h×l×w

h×2×2=24

4h=24

h=24/4

h=6 cm

Prism Z:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×6×1=24

6h=24

h=24/6

h=4 cm

Prism J:

l=2 cm and w=4 cm

we know that volume = h×l×w

h×2×4=24

8h=24

h=24/8

h=3 cm

Prism R:

l=2 cm and w=3 cm

we know that volume = h×l×w

h×2×3=24

6h=24

h=24/6

h=4 cm

Prism F:

l=1 cm and w=8 cm

we know that volume = h×l×w

h×1×8=24

8h=24

h=24/8

h=3 cm

hence we get the required dimensions.

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Answer:

304

Step by step:

Using your calculator 5% of 320 is 16.

Since it was a discount, you subtract 16 since you're marking it down.

320-16=304

304 is your answer

How do I know? Well, there it takes 20+20+20+20+20 to equal a hundred. We can do this same math for this problem. 16 x 20 is 320

Answer:

$304.00

that is really freaking expensive shirt lol.

i thought you said shlt,  not shirt lol

anyway...

Step-by-step explanation:

320 times 0.05

(don't make the mistake of 0.5  that is 50%, not 5%. )

320*0.05= 16

subtract it

320-16= 304

In family dice game, if a player rolls five dice at a time, then  7776 outcomes can be possible in one roll.

When a single die is rolled, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.

Since there are five dice being rolled in the family game, the total number of possible outcomes is simply the product of the number of outcomes for each die.

Each of the five dice being rolled has six possible outcomes. Each die is independent of the others, meaning that the outcome of one die does not affect the outcome of the others.

Therefore, to find the total number of possible outcomes for all five dice, we multiply the number of outcomes for each die, which gives

6 x 6 x 6 x 6 x 6 = 7776

So, there are 7776 possible outcomes in one roll of five dice in the family game.

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Answer:

Number of week same amount of money (W) = 5 week

Step-by-step explanation:

Given:

Amount Tyler have = $60

Amount Tyler's sister have = $135

Amount of allowances get = $5 per week

Amount sister spent per week = $10

Find:

Number of week same amount of money (W)

Computation:

Amount Tyler have in W week = 60 + 5(W)

Amount Tyler's sister have in W week = 135 -10(W)

So,

60 + 5W = 135 - 10W

15W = 75

W = 5

Number of week same amount of money (W) = 5 week

Answer:

...

Step-by-step explanation:

2. 5.25, because the radius is half the diameter

3. 3 in because the diameter is 2x the radius

4. i.dk this one sorry

Answer:

2. 5.25in

3. 3 in

4. 81.68 or 82

Step-by-step explanation:

The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius.  the circumference is 3.14 or \(\pi\) x diameter

so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.

~R3V0

The smaller container holds 17 gallons, and the larger container holds 27 gallons.

Let's represent the smaller container's capacity as x gallons. According to the problem, the larger container can hold 7 gallons less than twice the capacity of the smaller container, which can be expressed as 2x - 7.

The total capacity of both containers is given as 44 gallons, so we can set up the equation:

x + (2x - 7) = 44

Simplifying the equation:

3x - 7 = 44

3x = 51

x = 17

Therefore, the smaller container holds 17 gallons.

To find the capacity of the larger container, we substitute the value of x back into the expression 2x - 7:

2(17) - 7 = 34 - 7 = 27

Hence, the larger container holds 27 gallons.

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By unitary method, Marissa can hike 7/3 miles in an hour.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

\(1\frac{3}{4}\) = 7/4miles are hiked in 3/4 hours.

To find: the number of miles hiked in one hour

Finding:

By unitary method,

Miles hiked in 3/4 hours = 7/4

Miles hiked in 1 hour = 7/4(4/3) = 7/3

Hence, by unitary method, Marissa can hike 7/3 miles in an hour.

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Answer:

x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a proportion question. A proportion is 2 equal ratios. You need to know 3 parts of the 4 in able to solve for the fourth part.

Givens

Woman's height =  6 feet

Woman's shadow = 4 feet

Giraffe height = x

Giraffe's shadow = 12 feet

Formula

Woman's height / Woman's shadow = giraffe's height/ giraffe's shadow

Substitute givens into this formula

Solution

6/4 = x / 12                       Cross multiplipy

4x = 6 * 12                        Combine right

4x = 72                             Divide by 4

4x/4 = 72/4

x = 18

Answer

The giraffe is 18 feet tall.

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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I believe these are the answers:

1. True.

2. False.

3. False.

4. True.

Let me know if those are right. :)

It will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

Let's use the formula for exponential growth to solve this problem:

N = N0 * 2^(t/k)

Where:

N0 = initial population (8 rabbits)

N = final population (5,800 rabbits)

k = doubling time (1 month)

t = time in months (what we're trying to find)

Substituting the values we have:

5,800 = 8 * 2^(t/1)

Dividing both sides by 8:

725 = 2^(t/1)

Taking the logarithm of both sides (base 2):

log2(725) = t/1

t = log2(725) ≈ 9.515

So it will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

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Answer:300

Step-by-step explanation:subtract them

Answer:

$451

Step-by-step explanation:

It's a matter of percentages. At this point all you have to do is multiply 1.1 (110%) by $410, leaving you with 451.

Answer:

150-75=75, so a change of -75

Step-by-step explanation:

He spent 150 tokens and only got 75 tokens back