According to the fundamental theorem of algebra, how many zeros does thepolynomial below have?f(x) = x² + 5x³ + 10x² + 20x+24Answer here

Answer:

5/6, 7

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

the shoes

Step-by-step explanation:

the shoes never changed, and the amount money sarah has remaining will depend on the shoes.

Answer:

2x – 4 – 1 + x

Step-by-step explanation:

Answer:

Step-by-step explanation:  -15

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

6.93

Step-by-step explanation:

hope this helps

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

goto gauth maths and ask again

Answer:

x = sqrt(11)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse

x^2 +(sqrt(5))^2 = 4^2

x^2 +5 = 16

x^2 =16-5

x^2 = 11

Taking the square root of each side

x = sqrt(11)

Hi there!

\(\large\boxed{\frac{1}{18}}\)

1/3x = 6

Begin by multiplying both sides by 3 to cancel the fraction:

1/x = 18

Take the reciprocal of both sides:

x = 1/18

Answer:

1/18

Step-by-step explanation:

I N E E D P O I N T S :O)

Answer:

\( 16 \: {m}^{2} \)

Step-by-step explanation:

Area of the quadrilateral

\( = \frac{1}{\cancel 2} \times 8 \times \cancel 2 + \frac{1}{\cancel 2} \times 8 \times \cancel 2 \\ \\ = 8 + 8 \\ \\ = 16 \: {m}^{2} \)

Answer:

x=-4/3

Step-by-step explanation:

(8x+5-(x-5))/6 = 1/9

(7x+10)/6=1/9

7x+10=2/3

7x=-28/3

x=-4/3

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Since the value of y varies directly with x, the value of x when y equals 9 is 9/13

Given the following data:

x = 195

y = 15

To find the value of x when y = 9:

This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.

First of all, we would determine the constant of proportionality (k) for the mathematical expression.

y = kx

15 = 195k

k = 13

Now, we can find x:

y = kx

9 = 13 x

x = 9/13

Therefore, the value of x when y equals 9 is 9/13

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complete question:

The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?

The percent of the bags of chips weigh less than 176 grams is b 16%

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

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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Answer:

removing 1 x-tile from each side.

Step-by-step explanation:

the question is asking to isolate x and the equation is 2x = x + 3.

to isolate x subtract each side by an x-tile

Answer:

The answer is A

Step-by-step explanation:

The distribution of x is a continuous probability distribution. This could include distributions such as the normal distribution, the exponential distribution, the gamma distribution, and others.

1. A random variable is a variable whose values can be randomly selected from a given set.

2. A cumulative distribution function (CDF) is a function that gives the probability that a random variable takes on a value less than or equal to a given value.

3. A strictly increasing CDF means that for any two values of the random variable, if one value is greater than the other, then the probability of the larger value is greater than the probability of the smaller value.

4. A continuous CDF means that the CDF does not have any jumps or discontinuities.

5. Therefore, the distribution of the random variable x is a continuous probability distribution, which could include distributions such as the normal distribution, the exponential distribution, the gamma distribution, and others.

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Answer and explanation:

42. Statistic :A fitness center is interested in the mean amount of time a client exercises in the center each week

Statistic:the mean amount of time is an example of a statistic

Population:

43. Parameter :Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.

Parameter: this is a number or measurable quantity that sets a condition, boundary or limit or scope such as the age in which children start snowboarding

Answer:

6 medians.

Step-by-step explanation:

because the medians of 5 and 7 is 6.

The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.

In the given question,

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.

Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.

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The number of games he can play 48 bowling

"It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Total money = $225.00

Cost of one ball =$55

So, remaining money after buying the ball

=225- 55

= $170

Now,

game of bowling costs $3.50,

So, number of bowling can be played is

=170/3.5

=48.75

= 48 bowling

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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first one

2x+43 = 180

.....

By using Microsoft excel to plot the data on a scatter plot, the linear regression equation can best be represented by: A. y = 12.11.1.36^x

A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that linear regression equation for the x-values and log(y)-values is given by:

y = 12.11.0.30^x

Thus, it can best be represented by: y = 12.11.1.36^x

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