the line l is a tangent to the circle x^2+y^2=26 at the point A
A is the point (1,5)
The line crosses the x axis at point P
Work out the area of triangle OAP.

We can use inequality, 24. |m| greater than or equal to 10 then the possible to value is =  |14|.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Based on the given conditions, formulate,

24. |m| greater than or equal to 10

So, we can write,

24 + m ≥ 10

m ≥ 10 - 24

We can sum or difference,

m ≥ -14

Then,

|m| ≥ |-14|

Hence,

|m| ≥  |14|

Therefore,

24. |m| greater than or equal to 10 then the possible to value is =  |14|.

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The approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

To find the number of cell sites in the years 1998, 2008, and 2015 using the given model equation:

y = 336.01/(1 + 29.39e^(-0.256))

We substitute the respective years into the equation and calculate the value of y.

For the year 1998:

Substituting t = 1998 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*1998))

For the year 2008:

Substituting t = 2008 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2008))

For the year 2015:

Substituting t = 2015 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2015))

To find the actual numerical values, we need to evaluate these expressions using a calculator or a computer program that can handle exponentiation and arithmetic calculations.

Please note that it is important to follow the correct order of operations when evaluating the exponent term, particularly the negative sign and the multiplication. The exponent term should be calculated first, and then the result should be multiplied by -0.256.

By substituting the respective years into the equation and evaluating the expression, you will obtain the approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

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Answer:

224 cm³

Step-by-step explanation:

Volume = Area of base x height

V = 32 x 7

V = 224 cm³

In this question, all the required information is given so we'll simply have to solve.

\(\large\boxed{\bold{V= \ base \ area× \ height}}\)

Now, substitute the values according to the formula.

\(V= \ 32 × 7\)

\(\large\boxed{\bold{ V= \ 224 \ {cm}^{3}}}\)

The answer is a whole number so we won't have to round off.

Hence, the volume of the given rectangular prism is 224 cubic centimeters.

The equivalent expressions are:

(30/12)*k + (4/12)*k + 1-  3/4

(34/12)*k - 1/4

So here we have the expression:

(5/2)*k + 1 + (1/3)*k - 3/4

An equivalent expression is an expression that can be rewritten into this one.

If we simplify the expression we will get:

(5/2)*k + (1/3)*k + 1-  3/4

(15/6)*k + (2/6)*k + 1/4

(17/6)*k + 1/4

The equivalent expressions are then:

(30/12)*k + (4/12)*k + 1-  3/4  (this is like our second step).

(34/12)*k - 1/4 (just multiply the fraction by 2 in the denominator and numerator)

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The equivalent expressions of 5/2k + 1 + 1/3k - 3/4 are

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

5/2k + 1 + 1/3k - 3/4

Express the fractions to have equal denominators

So, we have

30/12k + 1 + 4/12k - 3/4 ---- this is represented by option (a)

Evaluate the like terms

34/12k + 1/4 ---- this is represented by option (d)

The above are the expressions equivalent to 5/2k + 1 + 1/3k - 3/4

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -1}{2}~~~ ,~~~ \cfrac{ y +5}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M} }{(1~~,~~3)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -1 }{2}=1\implies x-1=2\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +5 }{2}=3\implies y+5=6\implies \boxed{y=1}\)

Given the random variable X that is normally distributed with the mean μ and standard deviation σ.

The correct statement among the following options is D.

If the random variable X is normally distributed with parameters μ and σ, then E(X) = μ

and Var(X) = σ².

The normal distribution is the most widely recognized continuous probability distribution, and it is used to represent a variety of real-world phenomena.

A typical distribution, also known as a Gaussian distribution, is characterized by two parameters:

its mean (μ) and its standard deviation (σ).

The mean (μ) of any normal probability distribution represents the middle of the bell curve, and its standard deviation (σ) reflects the degree of data deviation from the mean (μ).

So, any normal probability density function is symmetric about the mean and bell-shaped, and the middle of the bell is both the mean of the distribution and the median.

Therefore, if the random variable X is normally distributed with parameters μ and σ, then E(X) = μ

and Var(X) = σ².

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Answer:

5/8

Step-by-step explanation:

This means 0.625 as a fraction can be written as 5/8.

Answer: 5/8

Step-by-step explanation:

125 times 5 is 625

125 times 8 is 1000

625/1000 is equivalent to 5/8

Answer: $6.65

Step-by-step explanation:

The price of the shirt in the department store = wholesale price + 90% of wholesale price

= 3.50 + (3.50*90)/100

= 3.50 + 3.15

= 6.65

Therefore, the price of the shirt is $6.65

Answer:

y= - 11

Step-by-step explanation:

A line with a slope of 0 is a horizontal line, parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 13, - 11 ) with y- coordinate - 11, then

y = - 11 ← equation of line

Answer:

y = -11

Step-by-step explanation:

A line with slope as 0, is a horizontal line ( In other words parallel to x-axis).

There is no rise, only run.

Equation of the line is y = c.

   y = -11

The greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

To find the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 - 18x^2\), we need to identify the largest expression that divides evenly into each term.

Let's break down each term individually:

\(8x^4\) can be factored as 2 × 2 × 2 × x × x × x × x

\(-4x^3\) can be factored as -1 × 2 × 2 × x × x × x

\(-18x^2\) can be factored as -1 × 2 × 3 × 3 × x × x

Now, let's look for the common factors among these terms:

The common factors for all the terms are 2 and \(x^2\).

Therefore, the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

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The formula for the function g that results when the graph of a given toolkit function is transformed as described is g(x) = 4|x| for the given transformation of reflection over the y-axis and horizontal compression by a factor of 1/4.

We know that the toolkit function is f(x)=|x|. We are reflecting the given function over the y-axis, which means all the points will change the sign of their x-coordinates. This is the transformation of the form f(-x).So, the function after reflection over the y-axis is f(-x) = |-x| = |x|. Now, we are horizontally compressing the function by a factor of 1/4. The transformation of the form f[bx] compresses the graph horizontally by a factor of 1/b. So, the compressed function is g(x) = f(4x) = |4x| = 4|x|. Therefore, the formula for the function g that results when the graph of a given toolkit function is transformed as described is g(x) = 4|x| for the given transformation of reflection over the y-axis and horizontally compressing by a factor of 1/4.

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Nicole bought 3 pounds of coffee

Nicole received a $90 gift card for a coffee store

She used the gift card to purchase a coffee that cost $8.34 per pound

After buying, she had $64.98 left

The pounds of coffee she bought can be calculated as follows

= 90 - 64.98

= 25.02

25.02/8.34

= 3

Hence Nicole bought 3 pounds of coffee

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The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²

f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  .f(x) =x²-2x+1

Rewrite the given function f(x).

f(x) =  (x-1)²

Now, the graph is stretched vertically by a factor of 2.

= 2(-x-1)²

reflect the graph about the y-axis.

2(x+1)²

move to the left by 3 units.

= 2(x+3+1)²

=2(x+4)²

The function g(x) =2(x+4)²

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Answer:

x = 6

Step-by-step explanation:

Okay 16x - 6 is alternate interior to the 90 degrees angle.  Alternate interior is like if you make a slanted line \ like that those endpoints will be congruent.

So you would write the equation like this.

16x - 6 = 90 (add 6 on both sides)

16x = 96 (divide both sides by 16)

x = 6

I hope this helps ya!!

Answer:

.

Step-by-step explanation:

Answer:

-7.14, -3.92, -2.6, -1.27

Step-by-step explanation:

For negatives, it's the opposite of getting to the largest number.

Answer:

-7.14, -3.92, -2.6, -1.27

Step-by-step explanation:

Hope it helped!

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

Answer:

Answer is C

Step-by-step explanat

Answer:

126 yellow crayons

Step-by-step explanation:

Finding the number of each of the crayons :

Number of yellow crayons :

Answer:

y= 3x -5

Step-by-step explanation:

The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).

Given that the slope is 3, m= 3. Substitute m= 3 into the equation.

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 1, y= -2,

-2= 3(1) +c

-2= 3 +c

c= -2 -3

c= -5

Thus the equation if the line is y= 3x -5.

Answer:

1428 in³

Step-by-step explanation:

To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism \((A=l*w*h)\) and volume of a triangular prism.

\((A=\frac{1}{2} (b*h )\)

If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:

17 × 8 × 5 = 680 in³.

Solving for the triangular prism gives us:

A = 1/2 (11 ×  8 × 17)

A = 748.

Add these two volumes to find the volume of the composite figure:

748 + 680 = 1428 in³

Hope this helps!

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Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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Answer:

5x^2-4x-1

Step-by-step explanation:

(2x^2+5x+17)+(3x^2-9x-18)

5x^2-4x-1

The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).

In this case, a = b = 9 in, so:

c2 = 92 + 92

c2 = 81 + 81

c2 = 162

c = √162

c = 12.73 in

The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.

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Heya!

Answer is \(No \: Solution\)

EXPLANATION :-

Given

x-y= -5

x-y=1³

Substitute value of x - y as 1³ in first equation,

=> x-y= -5

=> 1³ = -5

As we can't do anything more to solve, we can finally write as :

\(No \: Solution\)

~ Benjemin360

Answer:

\( {7}^{6} \)

The base is 7, and the exponent is 6.

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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