what are the solutions to the quadratic equation (5y+6)2=24

By answering the given question, we may state that Therefore, equation

8/15 ÷ 2/5 = 4/3.

Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.

divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

8/15 ÷ 2/5

is the same as

8/15 x 5/2

Now we can simplify by canceling common factors:

= 2*(2/3)

= 4/3

Therefore,

8/15 ÷ 2/5 = 4/3.

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The Turing machine scans the input string from left to right, marking each symbol with a dot, until it reaches the end.

For the language that consists of all strings of a's and b's, we can construct a Turing machine as follows:

Start at the beginning of the input string.

If the input symbol is an a or a b, mark it with a dot and move right.

If the input symbol is already marked with a dot, move right without marking it.

If the input symbol is blank (the end of the input), move left to the previous symbol.

If the previous symbol is marked with a dot, move left until an unmarked symbol is found.

If the previous symbol is unmarked, mark it with a dot and move right.

If the previous symbol is blank, the machine accepts the input if all symbols are marked with a dot (which means the input had even length), and rejects the input otherwise.

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The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.

To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For 195.2:

z1 = (195.2 - 189.2) / 83.2 = 0.0721

For 214.1:

z2 = (214.1 - 189.2) / 83.2 = 0.2983

Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:

P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632

Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.

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Complete question is in the image attached below

The total number of male deer, female deer, adult deer and baby deer present in the park are 210

Given,

Number of male deer = 42

Number of female deer = 63

Number of adult deer = 72

Number of baby deer = 33

Now,

Add the above given data to get the total number of male deer, female deer, adult deer and baby deer present in the park.

That is,

Total number of male deer, female deer, adult deer and baby deer present in the park = 42+63+72+33 = 210

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The word 'prove' is avoided in discussions of findings from inferential statistics because inferential statistics deals with drawing conclusions about a population based on sample data, and these conclusions are subject to a certain level of uncertainty.

While statistical analysis can provide strong evidence to support a hypothesis, it cannot prove it definitively.

Inferential statistics refers to the methods used to draw conclusions about a population based on sample data. It involves making inferences or predictions about a population based on the analysis of a random sample.

These inferences are subject to some level of uncertainty due to sampling error, which is the natural variation that occurs between samples. Therefore, we use probability to describe the likelihood of an event occurring, rather than stating something as a definite fact.

The use of words like 'support', 'evidence', or 'suggest' are more appropriate when discussing findings from inferential statistics.

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Answer:

perimeter= 8+8=16 units

area = 16+8=24 sq units

If each  sides of the slab form 90° angles, The number of feet that

each diagonal measure is 34 feet.

How to find the diagonal feet?

Using Pythagoreans theorem formula to find the diagonal feet

D² =L² + W²

Where:

D = Diagonal

L= Length = 16 feet

W = Width = 30

Let plug in the formula

D² = 16² + 30²

D² = 256 + 900

D=√1156

D= 34 feet

Therefore the diagonal measure 34feet

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\(9.3\) is the average rate of change over the interval [\(-1,4\)] for the function  f[x] = 3[\(2^{x}\)]

Define average rate of change:

Average rate of change is the measure of how much a function is change per unit, on average, over the given interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

It is calculated by\(\frac{f[b] - f[a]}{b - a}\)

According to the given information:

Putting the value of x  [ \(-1,0,1,2,3,4\) ]

in the function f[x] = 3[\(2^{x}\)]

we get y [ \(-6,3,6,12,24,48\) ]

Putting the values of :

f[b] = \(-6\)

f[a] = \(3\)

b = \(-1\)

a = \(0\)

In the above equation we get \(9.3\)

Therefore \(9.3\) is the average rate of change over the interval [\(-1,4\)] for the function  f[x] = 3[\(2^{x}\)]

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The number of 12 pages written by Great in 3 hours.

For the given question;

Time take by Greta to write total of 8 pages is 2 hours.

Use unitary method for solving;

2 hours --------> 8 pages.

Divide both side by 2.

1 hour -------> 4 pages.

Now, fore finding the number of pages written in 3 hours.

Multiply each side by 3.

3 hours ---------> 12 pages.

Thus, the number of pages written by Great in 3 hours are 12 pages.

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Answer:

x = 15

Step-by-step explanation:

5 x 3

Answer:27 < AB < 81

Step-by-step explanation:

Answer:

27 < AB < 81

Step-by-step explanation:

in a triangle the sum of any 2 sides must be larger than the third side.

that must be true for every pair of sides you pick.

simply because, if that is not fulfilled, the third side would be too long, and the other 2 sides cannot connect to the endpoints of the third side.

so,

AC + CB = 81 must be longer than AB. otherwise the triangle cannot "close".

AC + AB = 27 + AB must be longer than CB = 54.

so, AB must be longer than 27.

CB + AB = 54 + AB must be longer than AC = 27. but that is always true, as CB alone is already larger.

so only the other 2 conditions need to be true.

hence the answer.

Answer:

a.- slope= 36

Interpretation : The cable car travels 36 meter per minute

b.- y = 36x + 100

c.- 640 meters

Step-by-step explanation:

a.-

Find slope using the slope formula : \(\frac{y2-y1}{x2-x1}\)

Plug in the two given points: \(\frac{1000-100}{25-0}\)

Subtract the numbers : \(\frac{900}{25}\)

Reduce the fraction : 36

b.-

Using the given y-interspet (100) and the slope create an equation: y = 36x + 100

c.-

Using the equation you created plug in 15 for x to find the

distance: y = 36 (15) + 100

Multiply the numbers : y = 540 + 100

Add the numbers : y = 640

Answer:

The answer is the last multiple-choice answer.

Step-by-step explanation:

The order that the sides or angles of the parallelogram are put in matter. Angle C and G are both listed third from the beginning. Sorry if that doesn't make sense.

The range measures the spread of the data, the standard deviation measures the variability, and the IQR represents the middle 50% of the data.

To find the range of the distribution, subtract the smallest value from the largest value. In this case, the smallest percent of air is 1 and the largest is 60. Therefore, the range is 60 - 1 = 59.To calculate the standard deviation, you'll need to use a formula.

The standard deviation measures the spread of data around the mean. A higher standard deviation indicates greater variability. To find the interquartile range (IQR), you need to subtract the first quartile (Q1) from the third quartile (Q3).

The quartiles divide the data into four equal parts. The IQR represents the middle 50% of the data and is a measure of variability. To recalculate the range, standard deviation, and IQR for the other 13 bags of chips, you need to exclude the Fritos bag with 19% of air. Then, compare these values to the ones you obtained earlier.

In conclusion, the range measures the spread of the data, the standard deviation measures the variability, and the IQR represents the middle 50% of the data. Comparing the values between the full dataset and the dataset without the potential outlier helps to analyze the impact of the outlier on these measures.

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Answer:

625

Step-by-step explanation:

25x25 can be broken down into 20 x 25 and 5 x 25

20 x 25 is 10 x 25 x 2

10 x 25 is 250 and 250 times 2 is 500

25 x 5 is 125.

500+125 is 625.

Answer:

No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)

Step-by-step explanation:

0.63 just stops at 0.63

Answer:

125x³ - 150x² + 60x - 8

Step-by-step explanation:

Method 1

Expand the brackets using the FOIL method:

\(\begin{aligned}(5x-2)^3&=(5x-2)(5x-2)(5x-2)\\&=(25x^2-10x-10x+4)(5x-2)\\&=(25x^2-20x+4)(5x-2)\\&=125x^3-50x^2-100x^2+40x+20x-8\\&=125x^3-150x^2+60x-8\end{aligned}\)

Method 2

Apply the Perfect Cube Formula

\(\boxed{\begin{minipage}{5 cm}\underline{Perfect Cube Formula}\\\\$(a-b)^3=a^3-3a^2b+3ab^2-b^3$\\\end{minipage}}\)

\(\begin{aligned}(5x-2)^3&=(5x)^3-3 \cdot (5x)^2 \cdot 2+3 \cdot 5x \cdot 2^2-2^3\\&=5^3 \cdot x^3-6 \cdot 5^2 \cdot x^2+3 \cdot 5x \cdot 4-8\\&=125x^3-6 \cdot 25x^2+12 \cdot 5x-8\\&=125x^3-150x^2+60x-8\end{aligned}\)

Answer:5 million

Step-by-step explanation: Because 300 thousand is below 500 thousand so if its below 500 thousand it cant round up it rounds down.

To get 8 heads in 16 throws of a fair coin there are 12870n different ways and we get by combination

We have 16 throws, and we want to select 8 of those throws to be heads (assuming a fair coin).

The remaining 16 - 8 = 8 throws will be tails.

The number of ways to choose 8 heads out of 16 throws can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k!(n - k)!)

where C(n, k) represents the number of combinations of n items taken k at a time, and n! denotes the factorial of n.

Applying this formula to our situation, we have:

C(16, 8) = 16! / (8!(16 - 8)!)

Calculating the factorial values:

16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20922789888000

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320

(16 - 8)! = 8! = 40320

Substituting these values into the formula:

C(16, 8) = 20922789888000 / (40320 × 40320) = 12870

Therefore, there are 12,870 different ways to get 8 heads in 16 throws of a fair coin.

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\(f( - 1) = - 3\)

\(f(x) = 0 \\ for \: x = 2 \: or \: x = - 2\)

The area of the semicircle with the given diameter is 189.97 mm^2

The given parameters are

Diameter, d = 22 mm

The area of the semicircle is calculated as

A = 1/2 * pi * (d/2)^2

So, we have

A = 1/2 * 3.14 * (22/2)^2

Evaluate the expression

A = 189.97 mm^2

Hence, the area of the semicircle with the given diameter is 189.97 mm^2

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Answer:

Nope

Step-by-step explanation:

I don't know

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

\((x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

Plug in the point values to solve for the midpoint:

\((\frac{5+5}{2}, \frac{-3+4}{2} )\)

Simplify:

\((\frac{10}{2}, \frac{1}{2})\)

(5, 1/2) is the midpoint.

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

Answer:90

Step-by-step explanation:80*6=480= All Subjects

78*5=390

480-390=90

Answer: well, since we can assume that the first 5 are 78, he would have to get a 90% in order to get a 80% average

Answer:

it's 9n+10

Its c

Answer:

C: m∠5 + m∠6 =180°

D: m∠2 + m∠3 = m∠6

E: m∠2 + m∠3 + m∠5 = 180°

Answer:

x = -1

Step-by-step explanation:

Distribute by multiplying -5x by 2 and 4 by 2, leaving you with -10x+8+4-5=-3, then solve leaving you with x = -1.

The probability that the systolic blood pressure of a randomly chosen male will be in the range of 103 and 134 is roughly 0.875, or 0.875 to the nearest thousandth.

To find the probability that a randomly selected male's systolic blood pressure will be between 103 and 134, we need to calculate the z-scores for both values using the formula:

z = (x - μ) / σ

where the mean is, the standard deviation is, and x is the value we are interested in. After that, we may use a normal distribution calculator or table to determine the probabilities connected to the z-scores.

For x = 103:

z = (103 - 120) / 10 = -1.7

For x = 134:

z = (134 - 120) / 10 = 1.4

Now, we may use a calculator or table of the standard normal distribution to determine the probabilities corresponding to the z-scores of -1.7 and 1.4, respectively.

We discover that the probability associated with a z-score of -1.7 is 0.0446 and the probability associated with a z-score of 1.4 is 0.9192 using a conventional normal distribution table or calculator.

The difference between the probability associated with a z-score of 1.4 and the probability associated with a z-score of -1.7 therefore represents the probability that a randomly chosen male's systolic blood pressure will be between 103 and 134:

P(-1.7 < Z < 1.4) = P(Z < 1.4) - P(Z < -1.7)

= 0.9192 - 0.0446

= 0.8746

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The acceleration vector can be written as a = (25/9)T + 0N, or simply a = (25)T. (option a).

To find the acceleration, we need to take the second derivative of the position vector r(t) with respect to time, which represents the rate of change of velocity. Let's start by finding the first derivative of r(t):

r'(t) = (d/dt)(9sin(5t/9) + 2)i + (d/dt)(9cos(5t/9) - 7)j + (d/dt)(12t)k

The unit tangent vector T is defined as the normalized version of the velocity vector, which is r'(t)/||r'(t)||. To find T, we calculate the magnitude of r'(t) and normalize it:

||r'(t)|| = √((25/9)²(sin²(5t/9) + cos²(5t/9))) = √((25/9)²) = 25/9

Therefore, the unit tangent vector T is given by:

T = r'(t) / ||r'(t)|| = [(25/9)(-sin(5t/9))i - (25/9)(cos(5t/9))j] / (25/9) = (-sin(5t/9))i - (cos(5t/9))j

The unit normal vector N is perpendicular to the unit tangent vector T and is given by N = (cos(5t/9))i - (-sin(5t/9))j, or simplifying it, N = (cos(5t/9))i + (sin(5t/9))j.

Now, we can express the acceleration vector in the form atT + anN by taking the dot product of r''(t) with T and N:

aT = r''(t) · T = (25/9)(-sin(5t/9))(-sin(5t/9)) + (25/9)(cos(5t/9))(-cos(5t/9)) = 25/9

aN = r''(t) · N = (25/9)(-sin(5t/9))(cos(5t/9)) + (25/9)(cos(5t/9))(sin(5t/9)) = 0

Therefore, the correct answer is: A) a = 25T

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