Sometimes questions ask for fractions, reduced fraction, or mixed number answers. enter fractions as 2/4 for 2/4 . the preview will show you how the computer is interpreting what you typed.

Enter 5/20: __________

Answer:

Step-by-step explanation:

by definition :It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

example:  exponential growth

y=2^x

exponential decay

y=(1/2)^x

All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.

The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.

Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.

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Answer:

Step-by-step explanation:

You'll need to find a way to share the graph or graphs associated with this problem.

The period is 4.  The relationship between period and b (the coefficient of the independent variable of the cosine function) is (period) =(2π.b).  Given that the period here is 4,

       2π                          2π

4 = ---------, and so b = ------- = π/2.

                                       4

So now our y  = a*cos (bx + c) becomes

                    π

y = 10*cos (------x + 0 + 10

                     2

The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

The function that describes the given situation is \(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\) and this can be determined by using the properties of the trigonometric function.

Given :

The following steps can be used in order to determine the function could be the function described:

Step 1 - According to the given data, the cosine function has a period of 4.

Step 2 - Now, the independent variable of the cosine function is given by:

\(\rm 4b = 2\pi\)

\(\rm b =\dfrac{\pi}{2}\)

Step 3 - The maximum value of the cosine function is 1 and the minimum value of the cosine function is -1.

Step 4 - From the above steps, the function that described the given situation is given by:

\(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\)

Therefore, the correct option is C).

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Answer:

Step-by-step explanation:

Answer: x=-3

Step-by-step explanation:

Ok for this one it is important to understand that it is saying the same thing as 4*___=-12. So that being said, lets rewrite the equation with x instead of a blank:

4x=-12 (once again: this is the exact same thing, just that we are using a symbol (x) to represent a blank)

We then must perform algebra to solve this:

Isolate x (you must divide by 4 on both sides to do this)

4x=-12

x=-12/4

(Now simplify, because there is an odd number of negatives the answer will be negative)

x=-3

Hope this helps :)

Answer:

number 3=exposition

number 4=falling action

Answer:

\(\frac{1170pi}{360m}\)km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is \(\frac{45}{m}\) over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × \(\frac{45}{m}\) ×\(\frac{1}{360}\)

                                 = \(\frac{1170pi}{360m}\)km

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

The total distance is 129

Step-by-step explanation:

In order to answer this question you will need to find 2 distances and then add them to each other.

Begin at -29.  How far will you have to move to the right 29 in order to get to 0?

Now how far will you have to more to get from 0 to 100?

Draw an open number line to help you.

_____________________________________________________

-29                                           0                                                   100

Your first distance is 29.  Your second distance is 100.

The total distance is 129.

Answer:

17 pennies, 14 nickels

Step-by-step explanation:

let p = pennies and n = nickels

p + n = 31 coins

p = 31 - n

0.01p + 0.05n = $0.87

0.01(31 - n) + 0.05n = 0.87

0.31 - 0.04n = 0.87

0.04n = 0.56

n = 14

p = 31 - 14

p = 17

hope this made sense :)

Answer: 50°

Step-by-step explanation:

7 and 6 are vertical angles, which means they are equal. m<7 and m<6 are 130 degrees. Then. m<4 and m<6 are supplementary angles, and if m<6 is 130°, then you subtract that from 180 to get 50 = m<4. m<4 and m<1 are vertical angles, so that means m<1 is 50°.

The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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With respect to inflation, one could correctly state that "generally, the United States experienced deflation, but the European Union experienced inflation". The correct answer is (B).

The graph shows the Consumer Price Index (CPI) for the United States and the European Union from 1970 to 2000. The CPI is a measure of inflation and tracks the average price of a basket of goods and services. From the graph, it can be observed that generally, the United States experienced deflation, indicated by a negative CPI, during the period shown. On the other hand, the European Union experienced inflation, indicated by a positive CPI, during most of the period shown. Therefore, option (B) is the correct answer.

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Answer:

\(x=23\)

Step-by-step explanation:

\(x-6=17\)

\(x-6+6=17+6\) ( Add 6 to both sides)

\(x=23\)

Now we have to,

→ find the required value of x.

Given equation,

→ x - 6 = 17

Let's solve the equation,

→ x - 6 = 17

→ x = 17 + 6

→ [ x = 23 ]

Hence, the value of x is 23.

Answer: y=2x

Step-by-step explanation:

Answer: 40

Step-by-step explanation: Subtract 16 from 36 and you get 20. It says half so you multiply by 2 and get 40.

There will be 0.84% chances that resulting sequence in cat to occur.

Total number of nucleotides floating around = 10

Let the event of picking cat be "A"

Number of cat in group = 3

Probability of picking cat is picked at first position = P(A1) = 3 / 10

= 0.3

Probability of picking cat is picked at second position = P(A2) =  2 / 9

= 0.223

Probability of picking cat is picked at third position = P(A3) = 1 / 8

= 0.125

so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)

= 0.3 × 0.223 × 0.125

= 0.0084 required probability

There will be 0.84% chances that resulting sequence in cat

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The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)^2 is y = 0.

To determine the horizontal asymptote of a function, we need to examine the behavior of the function as x approaches positive or negative infinity. In this case, as x becomes very large or very small, the terms involving x-2 and x-3 become insignificant compared to the higher power of (x-3) squared in the denominator.

As x approaches positive or negative infinity, the (x - 2) term in the numerator does not affect the overall behavior of the function. However, the (x - 3)^2 term in the denominator becomes dominant.

Since (x - 3)^2 will always be positive, the function is always positive or zero. Therefore, as x approaches positive or negative infinity, the function approaches zero or a positive value but never crosses the horizontal line y = 0. Hence, the horizontal asymptote of the function f(x) = (x - 2)/(x - 3)^2 is y = 0.

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The cross product of k and i is equal to negative j. Thus, the correct is option (c) u x v = 0.

Cross product of two vectors:

The cross product of two vectors is defined as follows:

u x v = |u| |v| sinθ n

where θ is the angle between the two vectors.

The cross product of two vectors is a vector that is perpendicular to both vectors u and v.

Therefore, if the cross-product is zero, then either the two vectors are parallel or collinear, and the angle between the two vectors is either 0° or 180°.

In this question, the cross-product of two vectors u and v is given as u x v = 0.

This indicates that the two vectors u and v are parallel vectors since the cross-product is non-zero.If the two vectors are parallel, then the angle between the two vectors is either 0° or 180°.

Orthogonality of two vectors:The dot product of two vectors is defined as follows:

u . v = |u| |v| cosθ

where θ is the angle between the two vectors.

The dot product of two vectors is a scalar that is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them.

Therefore, if the dot product of two vectors is zero, then the two vectors are orthogonal, and the angle between them is 90°.

In this question, the dot product of two vectors u and v is given as u . v = 1.

This indicates that the two vectors u and v are not orthogonal vectors since the dot product is non-zero and not equal to zero.

Cross product of k x i:

The cross product of k and i is defined as follows: k x i = -j

This indicates that the cross product of k and i is equal to negative j.

Therefore, the correct is option (c) u x v = 0.

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Answer:

Step-by-step explanation:

Let chocolate bar = c and blow pops = b

As per given we have equations below:

13 times the first equation minus 8 times the second to eliminate b and find c:

Each chocolate bar costs $2.65

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

Answer:

Step-by-step explanation:

Solve

1

Add  

5

5

5

to both sides of the equation

1

1

−

5

=

2

8

11p-5=28

11p−5=28

1

1

−

5

+

5

=

2

8

+

5

11p-5+{\color{#c92786}{5}}=28+{\color{#c92786}{5}}

11p−5+5=28+5

2

Simplify

Add the numbers

Add the numbers

1

1

=

3

3

11p=33

11p=33

3

Divide both sides of the equation by the same term

1

1

=

3

3

11p=33

11p=33

1

1

1

1

=

3

3

1

1

1111p​=1133​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

p=3

p=3

Solution

=

3

so basically yeah p = 3

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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The line that passes through the points (-2, 6) and (r,-4) has a slope of -5, then the value of r = 0

The points through which the equation passes are ​(–2, ​6), (r, -4), with slope​ m ​ = -5

Slope is the steepness of a line as it moves from left to right. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b).

m = rise/run

m = \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)          (Equation-1)

Where,

m = slope

\((x_{1} ,y_{1} )\) = coordinates of first point in the line

\((x_{2} ,y_{2} )\) = coordinates of second point in the line

From the given expression,

slope m = -5         (Equation-2)

Slope, m = (change in y) / (change in x)

m = \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

From the points, ​(–2, ​6​), (r, -4)

\(x_{1}\) = -2

\(y_{1}\) = 6

\(x_{2}\) = r

\(y_{2}\) = -4

We can substitute values in equation-1,

m = \(\frac{-4-6}{r-(-2)}\)

m = \(\frac{-10}{r+2}\)      

So,

We can write,

\(\frac{-10}{r+2}\)  = -5

-10 = -5(r+2)

-10 = -5r - 10

-10 + 10 = -5r

-5r = 0

r = 0/-5

r = 0  

Therefore,

The line that passes through the points (-2, 6) and (r,-4) has a slope of -5, then the value of r = 0.

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The line that connects the coordinates (-2, 6) and (r, -4) has a slope of 5, hence r = 0.

The equation travels through the locations (-2, 6), (r, -4), with a slope of m = -5.

The steepness of a line as it goes from left to right is what is known as a slope. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change. No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).

m = rise/run

m = \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)         (Equation-1)

Where,

m = slope

(\(x_{1} ,y_{1}\)) = coordinates of first point in the line

(\(x_{2} ,y_{2}\)) = coordinates of second point in the line

From the given expression,

slope m = -5         (Equation-2)

Slope, m = (change in y) / (change in x)

m = \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)    

From the points, ​(–2, ​6​), (r, -4)

We can substitute values in equation-1,

m = \(\frac{-4-6}{r-(-2)}\)

m =  \(\frac{-10}{r+2}\)     

So,

We can write,

 \(\frac{-10}{r+2}\)  = -5

-10 = -5(r+2)

-10 = -5r - 10

-10 + 10 = -5r

-5r = 0

r = 0/-5

r = 0  

Therefore,

The line that passes through the points (-2, 6) and (r,-4) has a slope of -5, then the value of r = 0.

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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Answer:

C

Step-by-step explanation:

Data Set I is multiplicative because

x y

------------

0×2 = 0

1×2 = 2

2×2 = 4

etc.

Data Set II is additive because

x y

--------------

0+2 = 2

1+2 = 3

2+2 = 4

etc.

Answer: C

Step-by-step explanation: Hi there.

To answer this question, we need to look closely at the data tables and answers.

A cannot be right. If the relationship is additive, that means that an input x is being added to a number to get a certain number y. If the relationship is multiplicative, that means an input x is being multiplied by number to get a certain number y. The relationship cannot be additive if the input is being multiplied (and vice versa) because it does not make sense.

B cannot be right. (See A for reason)

D cannot be right. (See A for reason)

C is right. It states that Data Set I is multiplicative because y is 2 times x, and the relationship for Data Set II is additive because y is two more than x. Every x value in Data Set I is being multiplied by 2 to get y (just divide y by 2 to check), and every x value in Data Set II has 2 added to it to get y (just subtract y by 2 to check). It also gets it right that Data Set I is multiplicative and Data Set II is additive.

Have a nice day! :)

The probability that the horse will not win the race is 0.7500.

The mathematical branch known as probability deals with determining the possibility of an event occurring. The conversions between probability and odds are feasible. This is because the odds are determined by dividing the likelihood that an event will occur by the likelihood that it won't.

Here, the odds of a horse winning a race are given as 2 to 6. Then, the probability of winning the horse race is calculated as,

\(\begin{aligned}\text{Odds}&=\frac{p}{1-p}\\\frac{2}{6}&=\frac{p}{1-p}\\2(1-p)&=6p\\2-2p&=6p\\2&=6p+2p\\8p&=2\\p&=\frac{2}{8}\\&=\frac{1}{4}\end{aligned}\)

Then, the probability of not winning the horse race is,

\(\begin{aligned}q&=1-p\\&=1-\frac{1}{4}\\&=\frac{3}{4}\\&=0.75\end{aligned}\)

The answer is 0.75. Therefore, the correct option is option c.

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The slope of the straight line paths the knight can travel is 1.

Slope is the ratio of the rise, the vertical change, to the run, the    horizontal change of a line.

To calculate the slope of the straight paths, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

hence, the slope of the straight line part is 1.

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