A six-sided dice is thrown once
select the probability of it showing a 3

1/6 1/2 6% 1/3 1:7
A B C D E

The quadratic-like polynomial x⁶ + 8 has no real roots, that is, it has two complex roots. (Correct choice: B)

In this problem we must determine what polynomial has no real roots. From real algebra we remember that any polynomial of the form x²ⁿ + a², where a is a positive real number, has no real numbers. That is, the factor form of the polynomial is shown below:

(xⁿ + i a) · (xⁿ - i a)

In other words, any polynomial of the form x²ⁿ + a², a > 0, has two complex roots. Now, by direct comparison, we conclude that polynomial x⁶ + 8 has no real roots.

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Answer:

It's irrational because it's not repeating or terminating decimal.

Step-by-step explanation:

Answer:

the number is 33

Step-by-step explanation:

x-9=24

x=33

The number is 33

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be x

The number when decreased by 9 , the result is 24

So , x - 9 = 24

Adding 9 on both sides , we get

x = 33

Hence , the number is 33

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To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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There were about 10 termites on 1/14/22. Termites are small insects that feed on wood and can cause significant problems if left unchecked. In this scenario, a termite inspector finds approximately 40 termites in a farmer's barn on Pi Day (3/14/22). If the population doubles every month, we can calculate the number of termites after 2 months and on 7/14/22.

After 2 months (from 3/14/22 to 5/14/22), the termite population would have doubled twice:
- 1st month: 40 termites x 2 = 80 termites
- 2nd month: 80 termites x 2 = 160 termites
So, there will be approximately 160 termites after 2 months.

To find the number of termites on 7/14/22, we need to calculate the population after 4 more months (from 5/14/22 to 7/14/22):
- 3rd month: 160 termites x 2 = 320 termites
- 4th month: 320 termites x 2 = 640 termites
- 5th month: 640 termites x 2 = 1280 termites
- 6th month: 1280 termites x 2 = 2560 termites
Thus, on 7/14/22, the inspector can expect to see approximately 2560 termites.

To determine the number of termites on 1/14/22, we need to reverse the doubling process for two months:
- 1st month: 40 termites ÷ 2 = 20 termites
- 2nd month: 20 termites ÷ 2 = 10 termites
Hence, there were about 10 termites on 1/14/22.

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Answer:

Antibiotic

Step-by-step explanation:

Alexander Fleming discovered penicillin, the most important drug that destroys bacteria within the human body. This discovery has led to the prevention of many diseases and untimely deaths in society. He was a pharmacologist, botanist, and biologist that won a Nobel Prize in Physiology for his major contributions in developing antibiotic substances.

6.35 is the same distance from 6.3 as it is from 6.4

it is exactly between the 2 numbers and 0.05 away from either one

Answer:

20%

$18.84

Step-by-step explanation:

3.14 is what percent of 15.70?

Use the percent-to-dollar conversion (100: 15.70) :

3.14 * 100% / 15.70 =

3.14 / 15.70 * 100% =

1/5 * 100% =

100% / 5 = 20% ==> percent tip

$15.70 + $3.14 = $18.84  ==> Total cost

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer:

Area = 72 square feet

Step-by-step explanation:

\(4(3x+3y)\)

Multiply the four to the values inside the parentheses to find the "equivalent expression"

\(12x +12y\)

Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if \(x=2\) and \(y = 4\)

\(12(2) + 12(4)\)

\(= 24 +48\)

\(= 72\)

Answer:

x = 23.4

Step-by-step explanation:

\(5 \cdot (x + 10) = 167\\5x + 50 = 167\\5x = 117\\x = 23.4\)

Answer:

Divide the numbers 36/6 = 6

= 6y + y + 2 * 4y

Multiply the numbers 2 * 4

= 6y + y + 8y

Add like terms

= 15y

(I know it's a bit late, but I hope this still helps.)

The interval that is likely to contain the exact percentage of residents in the city who regularly eat organic foods is given as follows:

The interval is from 31.4% to 36.6%.

A confidence interval for a parameter is defined as the estimate of the parameter plus/minus the margin of error.

For this problem, we have that:

Hence the lower bound of the interval is given as follows:

34 - 2.6 = 31.4%.

The upper bound of the interval is given as follows:

34 + 2.6 = 36.6%.

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Answer:

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhh

The statements that are true is A,C,D

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = \(\pi r^{2}\)

\(\pi\)= 3.14

Given;

The length of the circumferences of the 3 holes is 38m millimeters. The large hole has a diameter of 14 millimeters

2\(\pi\)R+2\(\pi\)r+2\(\pi\)r=38

R+2r=19/3.14...1

Radius of large hole=14/2=7mm

Substituting the value of R in equation 1

7+2r=19/3.14

2r=19*7/3.14

r=21.178

Therefore;

The small holes each have a radius of 12 millimeters.- True

The large hole has an area of approximately 615.5 square millimeters.-false

The combined length of the circumferences of the small holes is 24m millimeters.-True

The diameter of the large hole is 2 millimeters longer than that of each small hole.- True

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Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

\(g(x) = \sqrt{x - 5} + 2 \\ g(5) = \sqrt{5 - 5} + 2 = 0 + 2 \\ g(5) = 2\)

I hope I helped you^_^

Answer:

\(\frac{1}{100}\)  

I hope this helps!

Answer:

To write .010 as a fraction you have to write .010 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

.010 = .010/1 = 0.1/10 = 1/100

And finally we have:

.010 as a fraction equals 1/100

hope this helps:)

Answer:the number of lawns he mowed

Step-by-step explanation:

First find the distance traveled at the first speed then we find the distance traveled at the second speed:

The car travels at a speed of "m" miles per hour for 3 hours.

Distance traveled in Part 1 = Speed * Time = m * 3 miles

The car travels at half that speed for 2 hours.

Speed in Part 2 = m/2 miles per hour

Time in Part 2 = 2 hours

Distance traveled in Part 2 = Speed * Time = (m/2) * 2 miles

Total distance traveled = m * 3 miles + (m/2) * 2 miles

Total distance traveled = 4m miles

Therefore, the total distance traveled by the car is 4m miles.

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The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

step 1. v(20) = 450(1.025)^20

step 2. 737.3774.

Answer:

20v=737.37739813

Step-by-step explanation:

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

A finite, nonzero area formed by the lines would have a fixed measurement

The number of separate region that have a finite, nonzero area is 64

The given parameters are:

The number (n) of separate region that have a finite, nonzero area is calculated as:

n = (h - 1) * (v - 1)

This gives

n = (9 - 1) * (9 - 1)

Evaluate the product

n = 64

Hence, the number of separate region that have a finite, nonzero area is 64

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Answer:

Boy.... Its one forth a dollar.

Step-by-step explanation:

1/4

Answer:

11 + x m

Step-by-step explanation:

\(width = \frac{area \: of \: rectangle}{length} \\ \\ = \frac{121 - {x}^{2} }{11 - x} \\ \\ = \frac{ {11}^{2} - {x}^{2} }{11 - x} \\ \\ = \frac{(11 + x)(11 - x)}{11 - x} \\ \\ = (11 + x) \: m\)

The surface area of the rectangular prism is 1,355,531 cm2.

Surface area is a measure of the total area of the surface of an object. It is calculated by taking the total area of its faces, edges, and vertices and combining them into one figure. It is an important factor in determining the volume, mass, and other properties of a three-dimensional object. In the case of a cube, for example, the surface area is the sum of the areas of its six faces. It is also used to measure the total area of a two-dimensional object, such as a circle or a triangle.

The surface area of a rectangular prism is the sum of the areas of all of its faces. To find the surface area, one can use the formula A = 2lw + 2lh + 2hw, where l is the length, w is the width, and h is the height.

In this case, the length of the rectangular prism is 550 1/4 cm, the width is 412 3/4 cm, and the height is 275 1/8 cm. Using the formula, we can calculate the surface area of the prism as follows:

A = 2(550 1/4)(412 3/4) + 2(550 1/4)(275 1/8) + 2(412 3/4)(275 1/8)

A = 936,406 1/2 + 304,437 1/2 + 114,687 1/2

A = 1,355,531 cm2

Therefore, the surface area of the rectangular prism is 1,355,531 cm2.

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