If t less than s and s less than r what is the relationship between the values t and r?

Answer:   2.34

Step-by-step explanation:

After the decimal point it goes the tenth then the hundredth place. So that will be the second number after the decimal point. The question gives you a number and asks you to round to the hundredth place so you are going to first look what number is in the hundredth place and then look in the number after it. 3 is the number in the hundredth place and 6 is the number after. The rule is if the number is less than 5 the number stays as is and if the number is greater than 5 you round the number up. Since the number after the 3 is 6 you are going to round up. So the number rounded to the hundredth place is going to be 3.24.    

Answer:

This graph is not a function.

The domain is -3<x<3.

The range is 1<y<3.

SOLUTION:

Step 1:

In this question, we are meant to find the zeros of the function:

Step 2:

The details of the solution are as follows:

The graph solution of this function is as follows:

CONCLUSION:

The only real zero of the function:

is at:

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

Step-by-step explanation:

Given parameters.

\(TU = 4\sqrt 5\)

\(SU = 4\sqrt 2\)

\(ST = 4\sqrt 3\)

Required

Determine \(\cos(T)\)

Reference to \(\angle T\), we have:

\(Opposite = 4\sqrt 2\)

\(Adjacent = 4\sqrt 3\)

\(Hypotenuse = 4\sqrt 5\)

Apply trigonometry ratio of cosine

\(\cos(T)\) \(= \frac{Adjacent}{Hypotenuse}\)

Substitute values for Adjacent and Hypotenuse

\(\cos(T)\) \(= \frac{4\sqrt 3}{4\sqrt 5}\)

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}\)

Rationalize:

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}\)

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

Answer:

Jackson is incorrect.

Step-by-step explanation:

He should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.

Answer:

C

Step-by-step explanation:

Answer:

your answers will be options B and E

Step-by-step explanation:

hope this helps have a nice day!!

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

\(2\pi \: r\)

\( = (2)(\pi)(5.4)\)

=33.93

Answer:

B

Step-by-step explanation:

Answer:

The amount of medicine in milligrams, y, in a human body that starts with 400 milligrams and decreases by 17% every hour, x

Step-by-step explanation:

I did it on ttm

a sample size of at least 73 is needed to estimate the mean of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas with 98% confidence and an error of 0.25 mpg.

How to solve questions?

A. To estimate the standard deviation of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas, we can use the empirical rule for normal distribution. The empirical rule states that for a normally distributed random variable, about 68% of the values fall within one standard deviation of the mean, about 95% of the values fall within two standard deviations of the mean, and about 99.7% of the values fall within three standard deviations of the mean.

The range of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas is 21 mpg to 26 mpg. We can estimate the mean by taking the average of the range:

Mean = (21 + 26) / 2 = 23.5 mpg

We can estimate the standard deviation by using the empirical rule. Since we know that about 68% of the values fall within one standard deviation of the mean, we can estimate the standard deviation as half the range that covers about 68% of the values:

Standard Deviation ≈ (26 - 21) / 4 = 1.25 mpg

B. To find the sample size needed to estimate the mean with 98% confidence and an error of 0.25 mpg, we can use the formula for the sample size:

n = (zα/2 * σ / E)²

where:

n is the sample size

zα/2 is the z-score corresponding to the desired confidence level, which is 2.33 for 98% confidence (from the standard normal distribution table)

σ is the population standard deviation, which we estimated in part A to be 1.25 mpg

E is the desired margin of error, which is 0.25 mpg

Substituting the values, we get:

n = (2.33 * 1.25 / 0.25)²

n = 72.96

Since we cannot have a fraction of a person in our sample, we round up to the next integer and get:

n = 73

Therefore, a sample size of at least 73 is needed to estimate the mean of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas with 98% confidence and an error of 0.25 mpg.

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The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer: probably 4 cards each person

Step-by-step explanation:

Answer: To solve this problem, we can use the information provided to set up and solve an equation. Let x be the number of countries that participated in the 1896 Olympic games.

According to the problem, we know that the number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. So we can write the following equation:

x * 14 < 202

To solve for x, we can divide both sides of the inequality by 14:

x < 202/14

x < 14.43

x is the number of countries, it must be an integer.

so x = 14

Therefore, 14 countries participated in the 1896 Olympic games.

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

2n+4<-n

:

2n+n+4<0

:

3n<-4

:

n<-4/3

:

0<2

The coordinates of the vertices of a quadrilateral RFGH E (1, 2), F (1, -1),

G (-2,-2), and H (-2, 2) after being translated 5 units to the right and then 5 units down to create quadrilateral E'F'G'H', now are E' (6, 7), F' (6, 4), G' (3, 3) and H' (3, 7).

To solve this question, we will need to have basic idea about coordinate geometry quadrants, i.e.,

If a point is translated 5 units to the right, its distance from the y-axis will increase by 5 but its distance from the x-axis will remain the same.

And If a point is translated 5 units downwards, its distance from the y-axis will remain same but its distance from the x-axis decrease by 5.

Using the above fundaments, we will individually find out the new positions of all the four vertice points of the quadrilateral.

E (1, 2) after being translated 5 units to the right will become [(1+5), 2] or (6,2) and further being translated 5 units downwards will become

[6, (2+5)] or, (6, 7). Therefore, E' will be (6, 7).

F (1, -1) after being translated 5 units to the right will become [(1+5), -1] or (6,-1) and further being translated 5 units downwards will become

[6, (-1+5)] or, (6, 4). Therefore, F' will be (6, 4).

G (-2, -2) after being translated 5 units to the right will become [(-2+5), -2] or (3, -2) and further being translated 5 units downwards will become

[3, (-2+5)] or, (3, 3). Therefore, G' will be (3, 3).

H (-2, 2) after being translated 5 units to the right will become [(-2+5), 2] or (3, 2) and further being translated 5 units downwards will become

[3, (2+5)] or, (3, 7). Therefore, H' will be (3, 7).

Hence, The coordinates of the vertices of a quadrilateral RFGH E (1, 2), F (1, -1), G (-2,-2), and H (-2, 2) after being translated 5 units to the right and then 5 units down to create quadrilateral E'F'G'H', now are E' (6, 7), F' (6, 4), G' (3, 3) and H' (3, 7).

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The area of the floor in the scale drawing will be 56 inches².

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The rectangular floor of a classroom is 28 feet in length and 32 feet in width.

And,  A scale drawing of the floor has a length of 7 inches.

Now,

Since,  A scale drawing of the floor has a length of 7 inches.

Hence, By definition of proportion we get;

Let the width of scale drawing = x

So, We get;

⇒ 28 / 32 = 7 / x

⇒ x = 7 × 32 / 28

⇒ x = 8

Thus, The width of a scale drawing = 8 inches

So, The area of the floor in the scale drawing = Length × Width

                                                                      = 7 × 8

                                                                      = 56 inches²

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Answer :

7

Step-by-step-explanation :

\( {((343 ^{ \frac{4}{3} })) }^{ \frac{1}{4} } \\ = ( {7}^{3} ) ^{ \frac{4}{3} } ) ^{ \frac{1}{4} } \\ = ( {7}^{4} ) ^{ \frac{1}{4} } \\ \)

\( = {7}^{1} = 7\)

Answer:-5,-4,-3,-2,-1,0,1,2.

Step-by-step explanation: Look at a number line. Count three units to the left, and that number and every number left of it is a answer. Count three units from 5 to the right, and that number plus every number greater than that one is your answer. Ex: 2,1,0,-1,8,9,10.

Should be 8, 9, 10, and so forth. 2, 1, 0, and so forth.

Answer: y = 4/3x+1

Step-by-step explanation:

Answer:

y=4/3 + 1

Step-by-step explanation:

There are different ways to do this for finding slope, you can use the formula or you can do rise over run. How to find rise over run you count how many places up so our current place is (-3,-3) and we are trying to find (3,5) so if you were to start with rise, you rise 8 places then run you go either left or right in our case right, you move 6 places.  So our fraction would be 8/6 or simplified 4/3. But using the formula to make sure we got the right answer, our formula is y2-y1/x2-x1 so that would look like 5- -3/3- -3. To solve on our top side two negatives give us a positive so the top is 8 and then bottom is 6 so we get 8/6 or 4/3. But our slope intercept would be y= 4/3x +1.

H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.

Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.

Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .

S = “On input (M, B)

This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

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Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.

Answer:

Sorry

Step-by-step explanation:

I don't know the answer

\((-3\frac{1}{6}, \frac{2}{3} )\)

Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

When the line segment is divided internally in the ration m:n, we use this formula.  That is when the point C lies somewhere between the points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)

Given here,  point B on AC Such that the ratio of AB to AC is 5:6

Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,

p= (mx₂+nx₁)/(m+n)

q= (my₂+ny₁)/(m+n)

Here. m=5 and n=6

p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11

Hence, Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

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Answer:

x = - 4

Step-by-step explanation:

f(x) = \(\frac{2x^2-8}{x+4}\)

the denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ( subtract 4 from both sides )

x = - 4 ← excluded value

2x² - 8 = 2(- 4)² - 8 = 32 - 8 = 24 ← non zero numerator

then x = - 4 is the vertical asymptote of f(x)

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer: bottom right

The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

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The required rate at which Bob's amount of money is changing is $100 per month.

Given that,
Bob is spending money at a constant rate. Suppose he initially has $1000, and after 8 months, he has $200. The expression of the rate at which Bob's amount of money is changing is to be determined.

Here,
Initial money = $1000
Rest money = $200
Time = 8 months,
Rate = [1000 - 200] / 8
Rate = [800] / 8
Rate = $100

Thus, the required rate at which Bob's amount of money is changing is $100 per month.

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Step-by-step explanation:

the translation :

[6-(-5) -5-(-2)] => [11 -3]

Answer:

11 to the right and 3 units down.

Step-by-step explanation:

khan