how do I solve 2×+9=9

Answer:

1st Question is ice

2nd Question is plant and animal remains

Step-by-step explanation:

Edg. 2020

Answer:

What natural element is one of the best preservers of prehistoric life?  

✔ ice

What clues in fossils help scientists identify different ice ages?  

✔ plant and animal remains

Step-by-step explanation:

edge

Answer:

First, let's calculate the total number of chairs in the six rooms with 20 chairs each:

20 chairs/room x 6 rooms = 120 chairs

Next, let's calculate the total number of chairs in the four rooms with 30 chairs each:

30 chairs/room x 4 rooms = 120 chairs

Now we can add the total number of chairs in both sets of rooms:

120 chairs + 120 chairs = 240 chairs

To find the mean (average) number of chairs per room, we divide the total number of chairs by the total number of rooms:

240 chairs / 10 rooms = 24 chairs per room

Therefore, the mean number of chairs per room is 24.

Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.

In this problem, the older the car, the more it should have traveled, that is, the higher the read on the odometer, hence, there is a direct proportional relationship, which means that the variables have a strong positive correlation.

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This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.

First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.

Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.

In set theory,  the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.

A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.

So there is not a maximum for the number of elements that a set can have.

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Here you go.

The answer is A
II Only

Answer:

Graph D is the correct answer

Step-by-step explanation:

The graph of is attached.

The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.

Also, the slope of is 2, and the y-intercept is 2.

Now let us look at the choices given and determine which graph represents the function .

The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.

The second graph has y-intercept of 3—also not our graph.

The third graph also has a y-intercept of 3—this does match our graph either.

The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.

Therefore, the graph that matches our graph is D.

\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)

Option B is the answer.

Answer: C

i hope you can see my handwriting

Answer:

The responses to these question can be defined as follows:

Step-by-step explanation:

\(x=3 \\\\n=50\\\\\hat{p}=\frac{x}{n}=0.06\\\\\hat{q}=1-\hat{p}=0.94\)

In point a:

\(98\%\) confidence interval for population proportion (p):

\(c=98\%=0.98\\\\\alpha=1-c=0.02\\\\\frac{\alpha}{2}=\frac{0.02}{2}=0.01\\\\z_{\frac{\alpha}{2}}=2.326\\\\\)

For point b:

\(98\% \ confidence\ interval =\hat{p} \pm z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\)

                                        \(=0.06 \pm 2.326 \sqrt{\frac{0.06\times 0.94}{50}}\\\\ =0.06 \pm 2.326 (0.0336)\\\\=0.06 \pm 0.078\\\\98\% \ CI =(-0.018, 0.138)\)

For point c:

\(The\ difference\ between \ 98\% \ CI\ is \ -0.018\ to\ 0.138\)

Answer:

7.44x10^9

Step-by-step explanation:

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-6))/(3 -1) = 4/2 = 2

The slope of the line is 2.

Answer:

No, his inference is not valid

Step-by-step explanation:

the data shown represents the statistic of 100 people's preferred ways to view movies in total

out of that 30/100 people prefer to watch in theatre.

trent inferences that out of 400 people 300 would prefer to watch in theatre another way to write this is 300/400

if we multiply the data we're given so that the denominators match Trent's inference. The data tells us that 120/400 would prefer to watch in theatre, so his inference is not valid.

In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2

The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.

Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.

Secondly, by close inspection we can see that it was dilated by a scale factor of 2.

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Answer:

104 degrees

Step-by-step explanation:

360-76(2)= 208

208 divided by 2= 104 degrees

Answer:

Step-by-step explanation:

The difference of years:

The difference in profit over 6 years:

Average rate of change:

It has been 6 years,

The main difference in profit over 6 years between 1999 and 2005 is,

→ 206000 - 173000

→ 33000

Then the average rate of change is,

→ 33000/6

→ 5500

Hence, $ 5500 is the correct option.

Answer:

14x+14

Step-by-step explanation:

9x+5+5x+9

=9x+5+5x+9

=(9x+5x)+(5+9)

=14x+14

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

3=-4x+3y or -4x+3y=3

Step-by-step explanation:

it perpendicular

The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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The domain can be best described using interval notation. The domain is [1,∞].

A continuous function is graphed here. The function is continuous only on  where it is defined. That is, the graph of the function does not have any discontinuities from 1 to infinity.

The domain of a function is the x-values for which the function is defined. That is for such x-values, the function will attain some y-value, which is called the function value. This function values corresponding to each x-value sketches the graph.

From the figure, the graph is started from x = 1 and is extended to infinity.

So it is better to express the domain in an interval form.

Graph of the function is a curve. So the domain is [1,∞].

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Answer:

Step-by-step explanation:

Sample standard deviation is found by steps below.

Find the mean:

Find deviations from the mean and their squares:

Sum the squares:

Divide by N - 1 (N - number of samples):

Square root is the sample standard deviation:

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                                      A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.

= 4x² - 121

= (2x)² - ( 11 )²

= ( 2x + 11 ) ( 2x - 11 )

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The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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\(\qquad\displaystyle \rm \dashrightarrow \: let \: \: Sydney's \: \: age \: \: be \: \: 'y'\)

\(\qquad\displaystyle \tt \dashrightarrow \: Devaughn's \: \: age \: \: will \: \: be \: \: 3y\)

Sum up ;

\(\qquad\displaystyle \tt \dashrightarrow \: 3y + y = 80\)

\(\qquad\displaystyle \tt \dashrightarrow \: 4y = 80\)

\(\qquad\displaystyle \tt \dashrightarrow \: y = 80 \div 4\)

\(\qquad\displaystyle \tt \dashrightarrow \: y = 20\)

So, Sydney's age is 20 years, n that of Devaughn is 20 × 3 = 60 years

Answer:

Sydney= 20, Devaughn= 60

Step-by-step explanation:

Let Sydney's age be 'x'

Devaughn's age = 3 times x = 3x

We Know That

The sum of their ages is 80.

So,

3x + x = 80

4x = 80

If we shift the 4 to the 80 side

x = 80/4

x = 20

So, Sydney's age is 20

Therefore, Devaughn's age =

3x = 3 times x

= 3 times 20

= 60

Answer:

A.) uses a related sample (repeated measures).

B.) does not use a related sample.

Step-by-step explanation:

The first scenario uses a related sample whereby same subjects were used to over the course of each related experiment (comparing if people eat more or less when in a hurry). After the completion of both experiment, we'll have two different reading for each subject which a b further be used to compare the difference in consumption when in a hurry and when not.

The second scenario here fails to employ a related sample design as the the subjects used have contrasting characteristics, a group consisting of lonely people and another consisting of those who aren't lonely.

Answer:

-4x-7

Step-by-step explanation:

Add like terms, aka the Xs and the normal numbers

Answer:

\(y=\dfrac{5}{4}x^3+10\)

Step-by-step explanation:

Given information:

Create two equations by substituting the given points into the given equation:

Equation 1:  point (0, 10)

\(\implies a(0)^3+d=10\)

\(\implies 0+d=10\)

\(\implies d=10\)

Equation 2:  point (2, 20)

\(\implies a(2)^3+d=20\)

\(\implies 8a+d=20\)

Substitute Equation 1 into Equation 2 and solve for a:

\(\implies 8a+d=20\)

\(\implies 8a+10=20\)

\(\implies 8a+10-10=20-10\)

\(\implies 8a=10\)

\(\implies \dfrac{8a}{8}=\dfrac{10}{8}\)

\(\implies a=\dfrac{10}{8}\)

\(\implies a=\dfrac{5}{4}\)

Finally, substitute the found values of a and d into the original formula:

\(\implies y=\dfrac{5}{4}x^3+10\)

Check by substituting the x-values of the two given points into the found equation:

\(x=0 \implies y=\dfrac{5}{4}(0)^3+10=10 \leftarrow \textsf{correct}\)

\(x=2 \implies y=\dfrac{5}{4}(2)^3+10=20 \leftarrow \textsf{correct}\)

Put(0,10)

Now

Put again (2,20) this time