Pre-calculus: Write the quadratic function in standard form.

The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

The perimeter of the quadrilateral is 46 units, so the correct option is d.

The perimeter is equal to the sum of the lengths of all the sides of the quadrilateral.

Remember that the length of a segment whose endpoints are (x₁, y₁) and (x₂, y₂) is:

L = √( (x₁ - x₂)^2 + (y₁ - y₂)^2)

The length between the first two vertices: (−6, −2), (0, −10)

L₁ = √( (-6 - 0)^2 + (-2 + 10)^2) = 10

The length between the second two vertices:  (0, −10), (5, 2)

L₂ = √( (0 - 5)^2 + (-10 - 2)^2) = 13

The length between the third two vertices:  (5, 2), (−1, 10)

L₃ = √( (5 + 1)^2 + (2 - 10)^2) = 10

The length between the fourth two vertices:  (−1, 10), (−6, −2)

L₄ = √( (-1 + 6)^2 + (10 + 2)^2) = 13

Then the perimeter is:

P = 10 + 13 + 10 + 13 = 46

The correct option is D.

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Answer:

15, 20, and 25

Step-by-step explanation:

You just multiply the original lengths by the scale factor (5).

The average speed during the two seconds in which the runner moved from 15 meters from the finish line to 3 meters past the finish line is 9 m/s

The average speed of the runner can be determined by using the following formula;

speed = distance ÷ time

As she moved from 15 meters from the finish line to 3 meters past the finish line in 2 seconds, the total distance covered in these 2 seconds by her can be calculated as follows;

distance = 15 meters + 3 meters

distance = 18 meters

Now substituting the values for distance and time in the formula;

speed = 18 / 2

speed = 9 m/s

Hence the average speed of the runner during the two seconds is calculated to be 9 m/s.

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Answer:

The fraction is 3/10 = .3

Answer:

y=12

Step-by-step explanation:

\(slope=\frac{y2-y1}{x2-x1} \\-4=\frac{8-y}{3-2} \\-4=8-y\\y=8+4=12\)

Answer:

a. 2

b. 8(-4)

c. (37)

d. (60 + 8)

Step-by-step explanation:

This just shows how to expand brackets. So to expand 2(9+4) you would, do 2*9 + 2*4 and same for b.

Part d is a little different because it can be any two numbers that add up to 68 (here I just put the most simple one I could think of).

Answer:

a. 2

b. 8, 4

c. 37

d. 60 + 8

Step-by-step explanation:

\(a.\ 2(9+4) = 2*9 + 2*4\)

\(b.\ 8(7-4) = 8(7) - 8(4)\)

\(c.\ 8(30 + 7) = 8(37)\)

\(d.\ 6(60 + 8) = 6(68)\)

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

The account balance will be approximately $21,796.29 after 7 years.

The formula for continuous compounding is given by

\(A = Pe^{rt}\)

where A is the ending account balance, P is the principal amount, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.71828.

In this problem, the principal amount is $15,340, the annual interest rate is 5%, and the time is 7 years. We can substitute these values into the formula to find the ending account balance

\(A = 15340e^{0.057}\)

Simplifying

\(A = 15340*e^{0.35}\)

A = 15,340 * 1.4187

A = $21,796.29

Therefore, the correct answer is (c) $21,796.29.

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When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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The perimeter of each cookie is 14.42cm

The area of each cookie is 6.51 cm²

The number of dough batches required is 4.35 batches

The perimeter of each cookie is determined using the formula to find the length of each side:

l = √{(x₂ - x₁)² + (y₂- y₁)²}

For each pair of points:

O(0,0), A (2,3), B(4,0), C (2,-3)

MA = √(2² + 3²) = √13

AB = √{2² +(-3)²} = √13

BC= √{(2)² +(-3)²} =√13

CO = √{(-2)² +(3)²} = √13

Perimeter = 4 x length

Perimeter = 4 * √13

Perimeter = 14.42 cm

Since a parallelogram with equal sides is a rhombus, we can use the formula for the area of a rhombus:

Area = (diagonal 1 x diagonal 2)/2

Area = (diagonal 1 x diagonal 2)/2

Area = (3.61 x √(2) cm) x (3.61 x √(2) cm)/2

Area = 6.51 cm²

2. The area of the square dough = (30 cm)²

The area of the square dough = 900 cm²

One dough can make 900 cm²/6.51 cm² cookies = 138 cookies

Number of dough batches required = 600/1138

The number of dough batches required = 4.35 batches

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Answer: Fri: 87.5

Sat: 105

Sun: 52.5

Total: 245

Step-by-step explanation: You multiply each lawn she mowed by 17.5

a. The probability that one of the selected adults wears glasses is 0.323.

b. The expected number of adults not wearing glasses in this selection is 4.

c. The probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

d. The standard deviation of the number of adults not wearing glasses in this selection is 1.385.

(a) To find the probability that one of the selected adults wears glasses, we can use the binomial distribution formula:

P(X = k) = \({}^nC_k\) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials (in this case, 10), k is the number of successes (in this case, 1), p is the probability of success (in this case, 0.6), and (1-p) is the probability of failure (in this case, 0.4).

Substituting these values, we get:

P(X = 1) = \({}^nC_k\) × \(0.6^1\) × \(0.4^9\)

= 10 × \(0.6^1\) × \(0.4^9\)

= 0.323

So the probability that one of the selected adults wears glasses is 0.323.

(b) To find the expected number of adults not wearing glasses, we can use the formula:

E(X) = n × (1 - p)

where n is the number of trials (in this case, 10) and p is the probability of success (in this case, 0.6).

Substituting these values, we get:

E(X) = 10 × (1 - 0.6)

= 4

So the expected number of adults not wearing glasses is 4.

(c) To find the probability that more than three but no more than five of the selected adults will not be wearing glasses, we can use the binomial distribution formula again:

P(3 < X < 6) = P(X = 4) + P(X = 5)

Substituting the values using the formula, we get:

P(X = 4) = 10 choose 4 × \(0.4^4\) × \(0.6^6\)

= 210 × \(0.4^4\) × \(0.6^6\)

= 0.250

P(X = 5) = 10 choose 5 × \(0.4^5\) × \(0.6^5\)

= 252 × \(0.4^5\) × \(0.6^5\)

= 0.201

Therefore,

P(3 < X < 6) = P(X = 4) + P(X = 5)

= 0.250 + 0.201

= 0.451

So the probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

(d) To find the standard deviation of the number of adults not wearing glasses, we can use the formula:

SD(X) = √(n × p × (1 - p))

Substituting the values, we get:

SD(X) = √(10 × 0.6 × 0.4)

= 1.385

So the standard deviation of the number of adults not wearing glasses is 1.385.

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Answer:

Answer:

speed = 43.974 miles per hour

= 43.974 mi/h

Step-by-step explanation: speed calculator

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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The solution of Representing an arithmetic sequence as a linear function involves finding the equation of a line in the form of y = mx + b.

Here m represents the common difference and b represents the initial term of the sequence. To do this, choose any two terms from the arithmetic sequence and use them to solve for the slope (m) and y-intercept (b). For example, if the two terms are a_n and a_n+k, where k is a constant, you can use the formula: m = (a_n+k - a_n) / k.

Once you have the slope, use one of the two terms and the slope to solve for the y-intercept using the equation y = mx + b. This will give you the equation for the line representing the arithmetic sequence. By using this method, you can practice representing arithmetic sequences as linear functions and find the equation of a line that represents any given arithmetic sequence.

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The variability of the data is very small (close to 0) because all the scores are approximately the same.

The variability of these data can be calculated using the variance formula, which is the average squared difference from the mean. In this case, the mean is 3.8 (the sum of 4, 4, 4, 4, and 3 divided by 5). Therefore, the variance is 0.08 (the sum of the squared differences [4-3.8, 4-3.8, 4-3.8, 4-3.8, 3-3.8] divided by 5). This indicates that the variability of the data is very small (close to 0) because all the scores are approximately the same.

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Answer:

first blank is x, and the second blank is -4x

and the equation is \(x^{2} =-4x\)

Step-by-step explanation:

If you simplify \(x^{2}-6=-4x-6\)

you would get \(x^{2} =-4x\) because you can bring the negative six onto the other side and it cancels there because it turns to a positive six so you get the equation \(x^{2} =-4x\).

The standard deviation of the ACT scores is approximately 4.2.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It indicates how much the data values deviate, on average, from the mean (or average) of the data set. A higher standard deviation indicates greater variability or spread in the data, while a lower standard deviation indicates less variability or spread.

According to the given information:

To find the standard deviation of ACT scores, we can use the given information about the mean and the percentage of scores above a certain threshold.

Given:

Mean (μ) = 21.4

Percentage of scores above 26 = 15%

Since the distribution is approximately normal, we can use the Z-score formula to find the Z-score corresponding to the given percentage. The Z-score is the number of standard deviations a particular value is from the mean in a normal distribution.

Z-score formula:

Z = (X - μ) / σ

Where:

Z = Z-score

X = Value (in this case, 26)

μ = Mean (21.4)

σ = Standard deviation (to be found)

We can rearrange the formula to solve for σ:

σ = (X - μ) / Z

Substituting the given values:

X = 26

μ = 21.4

Z = Z-score corresponding to 15% (which can be found using a standard normal distribution table or a Z-score calculator)

Assuming a standard normal distribution table or calculator gives us a Z-score of approximately 1.04 for a percentage of 15%, we can plug in the values:

σ = (26 - 21.4) / 1.04

σ = 4.4 / 1.04

σ ≈ 4.2 (rounded to the nearest tenth)

So, the standard deviation of the ACT scores is approximately 4.2.

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The probability that both spins are red is 1/16

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

Sections = 8

Red sections = 2

So, we have

P(Red) = 2/8

Simplify

P(Red) = 1/4

Using the above as a guide, we have the following:

P(Red, Red) = 1/4 * 1/4

Evaluate the products

So, we have

P(Red, Red) = 1/16

Hence, the probability that both spins are red is 1/16

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Volume is a cubic measurement.

Set up a ratio of volume to the ratio of the height:

100/v2 = 2^3/5^3

V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet

The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.

What information do we have?

Ratio of heights of two similar pyramids = 2:5

Volume of smaller pyramid = 100 cubic feet

Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³

100 / Volume of large pyramid = 2³ / 5³

Volume of large pyramid = 125(100) / 8

Volume of large pyramid = 1,562.5 cubic feet

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The explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

Given that x=2sin, y=2cos, and 0 are constants,

Simplify the parametric functions that are presented. Add their squares after taking them. The following trigonometric identity can be used:

sin2θ+cos2θ=1sin2⁡θ+cos2⁡θ=1

x=2sinθ,

y=2cosθ,0≤θ≤2πsinθ

=x2cosθ,

=y2x

Y=2sin⁡θ,

y=2cos⁡θ,0≤θ≤2πsin⁡θ=x2cos⁡θ=y2

Square them now and add them:

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

A parameter in a parametric equation can stand in for anything, including an angle. When a parameter is an angle—as opposed to a non-angle parameter—the plane curve can be graphed by choosing values for the angle and computing the x- and y-values.

Hence, the explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

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Answer:

40

Step-by-step explanation:

round the last 8 to nine then do that to the other nine and do that once more

Answer:

Jackie: 11

Paula: 19

Step-by-step explanation:

11+19 = 30

Answer: answer is 2

Step-by-step explanation:

Answer:

6 days brainliest pls

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

250+2/poster=1000

2/poster=750

poster =375

check answer

250+2(375)=1000

250+750=1000

1000=1000

Answer:

x ≤ -5

Step-by-step explanation:

According to the 'key' on the far right :

First box has   4 x   +  12 in it

 second box has  - 8  in it

4x+12 ≤ -8     subtract 12 from both sides

4x ≤ -20     divide through by 4

x ≤ -5

Answer:

b: 100

c:yes

d: younger, more, small/younger

Step-by-step explanation: