Which numbers are irrational?
√100 √21 √36 √47

Which numbers are irrational? Select all that apply.

A. √21
B. √ 100
C. √47
D. √36

Answer:

G

Step-by-step explanation:

I did this assignment yesterday

Answer:

x = 91

y = 98

Your answer is F.

Step-by-step explanation:

Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.

180 - 89 = 91

180 - 82 = 98

Hope this helps, and have a wonderful day! :)

Answer:

Step-by-step explanation:

big cheeze

Answer: 3/8

The given information is as follows: Out of the last 16 people, 6 people won a prize. We need to calculate the experimental probability of the next person winning the prize. To calculate experimental probability, we use the formula of experimental probability is given as: Experimental probability = Number of favorable outcomes / Total number of outcomes.

The given information tells us that out of the last 16 people, 6 people won a prize. It means that the number of favorable outcomes is 6. So, the experimental probability of winning a prize = Number of favorable outcomes / Total number of outcomes. Total number of outcomes is 16.

Therefore, Experimental probability = 6 / 16. Let's simplify this fraction. We can divide the numerator and denominator by 2.6/16 = 3/8Therefore, the experimental probability of the next person winning a prize is 3/8.

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The P-value = 0.000332 < 0.05, we reject H0 and conclude that there is a linear relationship between the index of exposure and cancer mortality. The correct option is D.

Hypothesis testing is a statistical tool that enables scientists to draw conclusions about populations using sample data. To put it another way, it allows you to evaluate the validity of a claim.

Hypothesis testing is the method by which we determine whether the findings of an investigation or experiment are likely to have occurred by chance.

It involves creating two opposing hypotheses (H0 and H1) and gathering evidence (in the form of sample data) to determine which hypothesis is more probable.

Since the P-value = 0.000332 < 0.05, we reject H0 and conclude that there is a linear relationship between the index of exposure and cancer mortality.

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If AE = DE, then ∠A = ∠D. This follows from the Side-Angle-Side (SAS) Congruence Theorem.

An angle is a measure of the amount of turn between two lines or planes. It is usually measured in degrees or radians, with a full turn being equal to 360 degrees or 2π radians. Angles can be used to describe the orientation of objects in two-dimensional and three-dimensional space. They can also be used to describe the size of an opening or formed between two intersecting lines or planes.

.4. If AB = EB, then ∠B = ∠E. This follows from the Side-Angle-Side (SAS) Congruence Theorem.
5. If D = CED, then ∠DCB = ∠ECB. This follows from the Angle-Side-Angle (ASA) Congruence Theorem.
6. If EBC = ECB, then ∠BCE = ∠BCE. This follows from the Reflexive Property of Congruent Angles.

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If AE = DE, then ∠A = ∠D. This follows from the Side-Angle-Side (SAS) Congruence Theorem.

An angle is a measure of the amount of turn between two lines or planes. It is usually measured in degrees or radians, with a full turn being equal to 360 degrees or 2π radians. Angles can be used to describe the orientation of objects in two-dimensional and three-dimensional space. They can also be used to describe the size of an opening or formed between two intersecting lines or planes.

.4. If AB = EB, then ∠B = ∠E. This follows from the Side-Angle-Side (SAS) Congruence Theorem.
5. If D = CED, then ∠DCB = ∠ECB. This follows from the Angle-Side-Angle (ASA) Congruence Theorem.
6. If EBC = ECB, then ∠BCE = ∠BCE. This follows from the Reflexive Property of Congruent Angles.

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Total degree of freedom should be known to determine the critical values for an independent sample t test.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.

For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).

Hence we get the required answer.

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Therefore,  according to the given information, h ²(x) = (x^3 - 12 + t^2)^3 - 12 + t^2.

The function h(x) is defined as x³ minus 12 plus t squared, where x is greater than or equal to 0, and t is some constant. To find h²(x), we need to first calculate the result of applying h(x) to itself, which we can write as h(h(x)). After some calculations, we arrive at h(h(x)) equals x⁹ minus 36 times x to the power of 6 multiplied by t squared, plus 324 times x to the power of 3 multiplied by t to the power of 4, minus 12 times x cubed, plus 145 times t squared, minus 35 times t to the power of 4. Therefore, h²(x) is equal to the same expression we obtained for h(h(x)).

To find h²(x), we need to first find h(h(x)).
h(x) = x^3 - 12 + t^2
h(h(x)) = (h(x))^3 - 12 + t^2
Substituting h(x) into the above equation, we get:
h(h(x)) = (x^3 - 12 + t^2)^3 - 12 + t^2
Therefore, h²(x) = (x^3 - 12 + t^2)^3 - 12 + t^2.

Therefore,  according to the given information, h ²(x) = (x^3 - 12 + t^2)^3 - 12 + t^2.

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Answer:

I believe it's true, but I'm not super sure.

Step-by-step explanation:

The overall limit does not exist as it approaches infinity.

To find the limit of the function lim (x, y)→(0, 0) cos(xy) − 1 / x^2y^2, we can use polar coordinates.

Let x = r cosθ and y = r sinθ. Then as (x, y) approaches (0, 0), r approaches 0. Substituting these values into the function, we get:

lim r→0 (cos(r^2 sinθ cosθ) - 1) / (r^4 cos^2θ sin^2θ)

Next, we can take the limit as r approaches 0 for each of the terms separately. Since cos(r^2 sinθ cosθ) approaches 1 as r approaches 0, the first term goes to 0. For the second term, we can simplify it as follows:

lim r→0 1 / (r^2 cos^2θ sin^2θ) = lim r→0 sec^2θcsc^2θ / r^2 = ∞

Therefore, the overall limit does not exist as it approaches infinity.

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Answer:

3 divided by 2 is 1.5

1/4 divided by 3/8 is 1/8

Step-by-step explanation:

Answer:

y = x

Step-by-step explanation:

So what we're going to want to do here is use the slope formula and the general equation y = mx + b.

Let's start.

The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.

Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.

With our slope 1, the answer is just y = x. Very simple equation.

Hope this helped!

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer:

this is easy. you just need to write and equation that shows how many pounds of each fruit you can buy in total (x for 1 pound of grapes and y for 1 pound of watermelon). this would make the equation 32 = 4x + 2x.

Answer:

3g

Step-by-step explanation:

We know that

20g = 8g + 4 * r

where r is the weight of a single red circle.

20g = 8g + 4 * r

12g = 4 * r

3g = r

We have proven that ∠1 is a complement of ∠3 using the substitution property

From the question, we are to prove that ∠1 is a complement of ∠3

From the given information, we have that

∠1 is a complement of ∠2

That is,

∠1 + ∠2 = 90°

NOTE: Complementary angles sum up to 90°

Also, we have that

∠2 ≅ ∠3

From the Substitution property of equality which states "If a variable x is equal to another variable y, then x can be substituted in place of y in any equation/expression and y can be substituted in place of x in any equation/expression."

Since ∠2 ≅ ∠3

We can substitute ∠3 for ∠2 in the first equation

That is,

∠1 + ∠2 = 90° becomes

∠1 + ∠3 = 90°

Since ∠1 and ∠3 sum up to 90°, then ∠1 is a complement of ∠3.

Thus,

∠1 is a complement of ∠3

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A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

Solving the the provided question we can say that here the surface area will be SA = 2(lb + lh + bh) = 2(108 + 120 + 90) =  636 cm sq.

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

here,

length = 9 m

h = 10

w = 12

SA = 2(lb + lh + bh)

= 2(108 + 120 + 90)

=  636 cm sq.

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Answer:

Shifted up 5 units

g(x) = -f(x) + 5

Step-by-step explanation:

To produce a g function, f was reflected over the x-axis and shifted up 5 units. Function g can be defined as g(x) = -f(x)+5

Context:

When we look at the graphs of the parent function f and the converted function g, we can see that after a reflection over the x-axis, the graph must be translated 5 units up to create g. Now A reflection of the function across the x-axis should be regarded negative, and moving 5 units up adds 5 to the function, thus g(x) = -f(x) + 5.

Given:

The expression is

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\)

To find:

The expressions which are equivalent to the given expression.

Solution:

We have,

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}=\dfrac{1}{5^4}\)

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}=5^{-4}\)

In option A,

\((5^{-2})^2=5^{-2\times 2}\)

\((5^{-2})^2=5^{-4}\)

This expression is equivalent to the given expression.

In option B,

\((5^{-4})^0=5^{-4\times 0}\)

\((5^{-4})^0=5^{0}\neq 5^{-4}\)

This expression is not equivalent to the given expression.

Option C,

\(\dfrac{5^1}{5^4}=5^{1-4}\)

\(\dfrac{5^1}{5^4}=5^{-3}\neq 5^{-4}\)

This expression is not equivalent to the given expression.

Option D,

\(5^2\cdot 5^{-6}=5^{2-6}\)

\(5^2\cdot 5^{-6}=5^{-4}\)

This expression is equivalent to the given expression.

Therefore, the correct options are A and D.

Answer: Khan

Step-by-step explanation:

Kahn

Answer:

Dear user

Answer to your query is provided below

The inverse of function f(x) = x +3 is y=x−3

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=x+3 becomes x=y+3.

Now, solve the equation x=y+3 for y.

y=x−3

The expected percent of business majors who dropped in this sample would be 28%.

To find the expected percent of business majors who dropped in this sample, we need to first calculate the total number of students in the sample. From the table below, we see that a total of 250 students dropped general psychology during the fall semester.

| Major              | Number of Students Dropping |
|--------------------|-----------------------------|
| Education          | 20                          |
| Business           | 70                          |
| Arts and Sciences  | 120                         |
| Undecided          | 40                          |
| **Total**             | **250**                        |

Next, we need to calculate the expected number of students who would have dropped from each major if there were no difference among the majors. To do this, we can multiply the total number of students who dropped (250) by the percentage of students in each major:

Education: 0.08 x 250 = 20
Business: 0.28 x 250 = 70
Arts and Sciences: 0.42 x 250 = 105
Undecided: 0.22 x 250 = 55

So, if the university expected that there should be no difference among the different majors in dropping this class, the expected percent of business majors who dropped in this sample would be:

Expected percent of business majors who dropped = (Expected number of business majors who dropped / Total number of students who dropped) x 100
= (70/250) x 100
= 28%

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The equilibrium quantity for the commodity is approximately 14.6 units, and the equilibrium price is approximately $384.8.

To find the equilibrium quantity and price, we need to set the supply and demand functions equal to each other and solve for q, which represents the quantity, and p, which represents the price.

Setting the supply and demand functions equal to each other:

q² + 2q + 16 = -8q² + 5q + 436

Rearranging the equation:

9q² + 3q - 420 = 0

Now we can solve this quadratic equation for q. Using the quadratic formula, we get:

q = (-b ± √(b² - 4ac)) / 2a

Plugging in the values a = 9, b = 3, and c = -420, we can calculate q.

q = (-3 ± √(3² - 4 * 9 * -420)) / (2 * 9)

q = (-3 ± √(9 + 15120)) / 18

q = (-3 ± √15129) / 18

Taking the positive value, we get q ≈ 14.6.

Now we can substitute this value of q back into either the supply or demand function to find the equilibrium price. Using the demand function:

p = -8(14.6)² + 5(14.6) + 436

p ≈ 384.8

Therefore, the equilibrium quantity is approximately 14.6 units, and the equilibrium price is approximately $384.8.

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We have the function:

We must identify the function that:

0. reflects the function across the y-axis,

1. shift it 6 units up.

1) To reflect the function across the y-axis we replace x by -x:

2) To shift the result 6 units up, we sum +6 on the right side:

Plotting both functions, we get:

Answer

Second option

Answer:

pythagorean theorem

c^2(hypotenuse)=a^2(adjacent)+b^2(opposite)

=6^2+4^2

36+16

c^2=52

\(c = \sqrt{52 } \)

c=7.21

sorry if its wrong...just giving it a try

Answer:

Actually people the answer is 7.2 to and here is proof

Step-by-step explanation:

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

\(s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4\)

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

\(y= ax^2 + bx + c\\\\21=a+b+c\)      Inserting the coordinates of the first point

\(y= ax^2 + bx + c\\\\59 =4a+2b+c\)              Inserting the coordinates of the second point

\(y= ax^2 + bx + c\\\\141=16a+4b+c\)       Inserting the coordinates of the third point

All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.

In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.

By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.

(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:

L = π(7)(13) ≈ 285.7 ft²

Rounding to the nearest tenth, the answer is 285.7 ft².

(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:

B = (24)² = 576 cm²

The perimeter of the base is 4 times the base length, so we have:

P = 4(24) = 96 cm

Now we can use the formula to find the surface area:

A = 576 + (1/2)(96)(16) = 1056 cm²

Therefore, the surface area of the square pyramid is 1056 cm².

(3) The volume of a rectangular prism can be calculated using the formula V = lwh,

where

l is the length

w is the base

h is the height

V is the volume.

Substituting the given values, we have:

V = (5)(7)(3) = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³.

(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:

B = (9)² = 81 cm²

Now we can use the formula to find the volume:

V = (1/3)(81)(4) = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³.

(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:

V = (1/3)π(10)²(6) ≈ 628.3 mm³

Rounding to the nearest whole number, the answer is 628 mm³.

Therefore, the volume of the cone is 628 mm³.

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Answer:

Step-by-step explanation:

well i guess if the decimal is on the left you would move it to the right twice

because if you only moved it once it'd become 1.0

and if you moved it to the left once it would also become 1.0

and if you moved it twice to the left you would be left with .10

pls mark me brainliest

Hello!

Answer:

x=0

Step-by-step explanation:

Hope this helps!

Answer:  The correct answer is:  " x = 0 " .

________

Step-by-step explanation:

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Method 1)

________

Subtract "8" from each side of the equation:

________

  → " 8 + 8x − 8 = 8 − 8 " ;

  → On the "left-hand side" of the equation:

          Note the following "like terms" :

            " +8 − 8 = 0 " ;

  →  and we are left with "8x" on the "left-hand side" of the equation.

  → On the "right hand side" of the equation:

         The "(8 − 8)" = 0 ;

________

And we are left with:

  →  " 8x = 0 " ;

________

Now, divide each side of the equation by "8" ;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

  →  8x / 8 =  0/8 ;

to get:

  →  " x = 0 " ;

  →  which is the correct answer.

________

Method 2)

________

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Subtract "8" from each side of the equation; in the following manner:

________

   8  +  8x    =    8 ;

 - 8             =   - 8 ;

_____________

   0  +  8x    =    0 ;

→ We have:  " 0 + 8x = 0 " ;

→ Note: On the "left-hand side" ; we have:

                 " 0 + 8x " ;

  We can simplify this to "8x" ; since the "addition property of zero" states that when "0" is added to any value; the resulting value does not change.

Now, we can bring down the "0" from the "right-hand side" of the equation;

And we can rewrite our equation as:

________

   → " 8x = 0 " ;

Now, divide each side of the equation by "8" ;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

  →  8x / 8 =  0/8 ;

to get:

  →  " x = 0 " ;

  →  which is the correct answer.

________

Method 3)

________

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Divide each side of the equation by "8" ;

________

  → " \(\frac{(8 + 8x)}{8} =\frac{8}{8}\) " ;

________

To solve:

________

Note: On the "right-hand side" of the equation:

________

Take note that: " \(\frac{8}{8} =\) (8 ÷ 8) = 1 " ;

________

Rewrite the equation as:

________

 →  " \(\frac{(8 + 8x)}{8} =1\)  "  ;

________

To solve:

________

Note:  " \(\frac{x}{y} = z\) " ;  ↔ \(x = z*y\) ; \((y\neq 0)\) ;

________

 →  " \(\frac{(8 + 8x)}{8} =1\)  "  ;  

 →  From the "left-hand side" of the equation;

      Let us simplify:

________

 →  " \(\frac{(8 + 8x)}{8} = \frac{8}{8} + \frac{8x}{8} = 1 + x\) " ;  

Now, bring down the "1" from the "right-hand side" of the equation;

and rewrite the equation:

________

 →  " 1 + x = 1 " ;

Now, subtract "1" from each side of the equation;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

     " 1 + x − 1 = 1 − 1 " ;

  → On the "left-hand side" of the equation:

          Note the following "like terms" :

            +1 − 1 = 0 " ;

  →  and we are left with "x" on the "left-hand side" of the equation.

  → On the "right hand side" of the equation:

         The "(1 − 1)" = 0 ;

  → And we are left with:

      →  " x = 0 " ;

      → which is the correct answer!

________

The correct answer is:  " x = 0 " .

________

Hope that this answer—and the corresponding explanations—

are helpful !

  WIshing you the best!

________

Answer:

20

Step-by-step explanation:

a^2+b^2=c^2

15^2+b^2=25^2

225+b^2=625

b^2=400

Square root of 400 is 20

Answer:

20 or 29.2 but I think it's 20^^

Step-by-step explanation: