516m+15/21=22803 (516m plus 15 over 21 equals 22803 m=?)

Answer:

y > 5.5

Step-by-step explanation:

The answer is C

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

126807 people

Step-by-step explanation:

Given;

P= Poe^ht

Where;

P= population at time t

Po= population at the beginning

h= growth constant

t= time

1998- 2008 is ten years.

110429= 100,000e^10h

1.1 = e^10h

ln(1.1) = lne^10h

0.095 = 10h

h= 0.0095

In 2023, t = 25 years

P= 100,000e^(0.0095 × 25)

P= 126807 people

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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Answer:

she is correct because there is not common factor of 3 and 8 so it cannot be factored

Step-by-step explanation:

Answer:

22,647 inches is 0.3574 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

In one mile, there are 63360 inches. How many miles are there in 22647 inches?

1 mile - 63360 inches

x miles - 22647 inches

63360x = 22647

x = 22647/63360

x = 0.3574

22,647 inches is 0.3574 miles.

Answer:

Step 1: Convert every letter grade to its respective points (A=4, B=3, C=2, D=1, F=0.)

Step 2: Add up all the grade points.

Step 3: Divide the added grade points (step 2) by the number of class credits taken

Step-by-step explanation:

hope it helps

We have proven that if a line in the plane of a circle is perpendicular to a radius at its outer endpoint, then the line is tangent to the circle.

Proof: Given that line ℓ is in the plane of circle ⊙ and is perpendicular to radius OX at point X, we want to prove that line ℓ is tangent to the circle.

Assume, for the sake of contradiction, that line ℓ is not tangent to circle ⊙. By definition, this means that line ℓ intersects circle ⊙ at more than one point. Let's call this point of intersection Y.

Since OX is a radius of circle ⊙ and line ℓ is perpendicular to OX at point X, it follows that angle OXℓ is a right angle.

Now, consider the triangle OXY. We know that angle OXY is also a right angle because OX is perpendicular to line ℓ at X. Therefore, angle OXY = 90 degrees.

Let's consider the angles formed at point Y. Since line ℓ intersects circle ⊙ at Y, we have two angles: angle OYX and angle OYℓ.

Now, using the fact that the sum of angles in a triangle is 180 degrees, we can write:

angle OXY + angle OYX + angle OYℓ = 180 degrees.

Substituting the known values, we have:

90 degrees + angle OYX + angle OYℓ = 180 degrees.

Simplifying this equation, we get:

angle OYX + angle OYℓ = 90 degrees.

Since angle OYℓ is a right angle (90 degrees) and angle OYX + angle OYℓ = 90 degrees, it follows that angle OYX must be 0 degrees.

But if angle OYX is 0 degrees, it means that point Y coincides with point X, which contradicts our assumption that line ℓ intersects circle ⊙ at more than one point.

Therefore, our assumption that line ℓ is not tangent to circle ⊙ is false. Hence, line ℓ must be tangent to circle ⊙.

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We are given the following equation:

To solve for "x", first we will subtract 7 to both sides:

Solving the operations:

Now we will divide both sides by 3:

Solving the operations:

Therefore, the value of "x" is -4

Given :

⠀

To Find :

⠀

Solution :

We know that,

\(\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:\)

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

\(\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }\)

\(\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }\)

\(\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }\)

\(\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }\)

\(\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }\)

\(\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }\)

\(\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}\)

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\(\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:\)

\(\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:\)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

The length is 9m and the width is 5m.

This is defined as is a quadrilateral with four right angles and the area is calculated as Length × width.

Let's assume length is x and width is (x-4).

We have x × (x-4) = 45m²

x² - 4x = 45

x² - 4x - 45 = 0

x² - 9x + 5x -45 = 0

x(x-9) +5 (x-9)

(x+5)(x-9) = 0

x = -5 or x = 9

x is therefore 9m and the width is (9-4) = 5m

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Answer:

try to multiply the $400 to the interest and divided by $22.40

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

For the seniors, the mean is given as,

Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10

σ = 14.28

For the juniors, the mean is given as,

Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10

σ = 13.19

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

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The complete question is given below.

Answer:

undefined

Step-by-step explanation:

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

Step-by-step explanation:

Angles 4 and 5 are congruent and are on the inner side of lines r and s, and opposite side from line l.

If two angles are on the inner sides of two lines and opposite sides of the line intersecting the two lines are equal, then these angles are alternate interior angles.

The two lines are parallel and the intersecting line is the transversal.

Lines r and s are parallel and line l is transversal.

By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.

In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.

Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:

angle BAC = angle STU

4x = 100

To find the value of x, we divide both sides of the equation by 4:

x = 100/4

x = 25

Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.

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Answer:

she has 4.5

and she should´ve got bacon egg and cheese than that burger

Answer:

6

Step-by-step explanation:

Answer:

125 red apples

Step-by-step explanation: 3x25=75 and 5X25=125

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Answer:

B is the correct answer--each x-value corresponds to exactly one y-value.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Answer:

(a) D. All the above

(b) \(p = 10\) --- Mean

(c) \(s = 3\) --- Standard Deviation

(d) A. No, 15 is not a significantly high number of golf balls, because the probability of 15 is greater than 0.05

Step-by-step explanation:

Solving (a):

Option (d) answers the question because (a), (b) and (c) are all true

For (a): x must be a random variable

For (b): \(\sum p(x) = 1\)

For (c): \(0 \le p(x) \le 1\)

Solving (b): The mean

Mean (p) is calculated as:

\(p = \sum xp(x)\)

So, we have:

\(p = 3 * 0.14 + 6 * 0.03 + 9 * 0.36 + 12 * 0.37 + 15 * 0.10\)

\(p = 9.78\)

\(p = 10\)

Solving (c): The standard deviation

This is calculated as:

\(s = \sqrt{\sum[ x*p(x) *(1-p(x))]}\)

So, we have:

\(s = \sqrt{3 * 0.14 *(1 - 0.14) + 6 * 0.03 * (1 - 0.03) +..............+ 15 * 0.10 * (1 - 0.10)}\)\(s = \sqrt{6.7566}\)

\(s = 2.599\)

\(s = 3\)

Solving (d): Is P(x = 15) significantly high?

From the question:

\(P(x = 15) = 0.10\)

In probability:

\(0 \le x \le 0.15\) is considered to be low (i.e. not high) because it is almost not sure to occur

Hence, (a) is true

Answer:

2000 dollars

Step-by-step explanation:

Answer:

See attachment.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

The fastest way to graph a function is to plug it into a graphing calculator.

Graphing by hand would require a table of values, plotting those points, and connecting the dots.

We can also use the parent function x² and determine the graph.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315