I missed my zoom lesson today and I don't understand the material we covered. I'm not sure how to answer this question. Thank you in advance for your help ​

Answer:

27 ³ + 64

Step-by-step explanation:

sorry i could only do 2 of it, i don't have time for others...

Solution:

Given:

The numbers are represented on the number line below;

The distance between the numbers can be gotten by moving from one number to the other counting the number of steps taken.

Hence,

Therefore, the distance between the numbers on the number line is 17.

The dimensions of the column and row spaces of A are:

dim Col A = 3

dim Row A = 3

The nullity of a matrix A is the dimension of the null space of A. By the rank-nullity theorem, the rank of A plus the nullity of A equals the number of columns of A. Since A is a 4 x 6 matrix, it has 6 columns. Therefore, the rank of A is 6 - 3 = 3.

The dimension of the column space of A is equal to the rank of A, which is 3. This is because the column space is spanned by the columns of A, and the rank of A is the maximum number of linearly independent columns.

The dimension of the row space of A is also 3. This is because the row space is the orthogonal complement of the null space, and the null space has dimension 3. Therefore, the row space has dimension 6 - 3 = 3.

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Answer:

The answer is 28. It is easy.

Answer:

5x+6= 10x-8

14= 5x

x= 2.8

Step-by-step explanation:

Answer: -(1/4)^3

Step-by-step explanation:

Equals -1/64 which is -64

Answer:

-(1/4)3

Step-by-step explanation:

please mark me as brainlest

Answer:

140+5x^2

If x =3

140+5(3^2)

3^1=3

3^2=9

So,

140+5(3^2) = 140+5(9)

                  = 140 +45

                  = 195

Step-by-step explanation:

A dilation is the only transformation that does not preserve congruence. All other types of transformations, including translations, rotations, and reflections, do preserve congruence.

A transformation that does not preserve congruence is a dilation. A dilation is a transformation that changes the size of a figure, but not its shape. This means that the new figure will not be congruent to the original figure.

In contrast, other types of transformations, such as translations, rotations, and reflections, do preserve congruence. These transformations move the figure to a new location on the coordinate grid, but do not change its size or shape. As a result, the new figure is congruent to the original figure.

In summary, a dilation is the only transformation that does not preserve congruence. All other types of transformations, including translations, rotations, and reflections, do preserve congruence.

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Answer:

2/15

Step-by-step explanation:

Slope: m=(y2-y1)/(x2-x1)

m = (3 - 7)/(-14 - 16) = (-4)/(-30) = 4/30 = 2/15

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

The answer would be -32.

Answer:

-32

Step-by-step explanation:

-24 - 8 = -32

Answer:

87500

Step-by-step explanation:

We need to determine 70% of 125000 now and the procedure explaining it as such

Step 1: In the given case Output Value is 125000.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 125000 = 100%.

Step 4: In the Same way, x = 70%.

Step 5: On dividing the pair of simple equations we got the equation as under

125000 = 100% (1).

x = 70% (2).

(125000%)/(x%) = 100/70

Step 6: Reciprocal of both the sides results in the following equation

x%/125000% = 70/100

Step 7: Simplifying the above obtained equation further will tell what is 70% of 125000

x = 87500%

Therefore, 70% of 125000 is 87500

The equation of the blue line in the graph is y = -x - 1.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

From the graph, the line passes through the points (-1,0) and (0,-1).

First, find the slope of the line using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -1 - 0 ) / ( 0 - (-1) )

m = -1 / 1

m = -1

Next, using the point-slope form, plug in one of the given points and slope m = -1 to find the equation of the line.

Let's use the point (0,-1):

y - y₁ = m(x - x₁)

y - (-1) = -1(x - 0)

y + 1 = -x + 0

y + 1 = -x

y = -x - 1

Therefore, the equation of the line is y = -x - 1.

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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There is no way he can write a bi-conditional because there are only 2 g e n d e r s which are m a l e and f e-m a l e and as such he can't use if and only if due to the fact that all non - m a l e dogs are f e m a l e dogs and v i c e v e r s a.

A biconditional statement is a statement combing a conditional statement with its converse. So, one conditional is true if and only if the other is true as well.

Now, he wrote a true conditional which is "If 47% of the dogs

at the shelter are f e m a l e, then 53% of the dogs are m a l e."

Now, there is no way he can write a biconditional because there are only 2 genders which are m a l e and f e m a l e and as such he can't use "if and only if" due to the fact that all non - m a l e dogs are f e m a l e dogs and vice versa.

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Answer:

a) fog(x) = (x-2)⁴ +4

b) (g o f) (x) = x⁴ + 2

c) hog(x) = \(\sqrt{x-2}\)

Step-by-step explanation:

Step(i):-

Given that the function

f(x) = x⁴+4 , g(x) = x-2 , h(x) = √x

f o g (x) = f(g(x))

           = f(x-2)

         = (x-2)⁴ +4  (∵ f(x) = x⁴ +4))

fog(x) = (x-2)⁴ +4

Step(ii):-

(g o f) (x)  = g(f(x))

              = g(x⁴ +4)

             =  x⁴ +4 -2   ( ∵ g(x) = x-2)

            = x⁴ + 2

(g o f) (x) = x⁴ + 2

Step(iii):-

hog(x) = h(g(x))

         = h(x-2)

         =  \(\sqrt{x-2}\)    

 hog(x) = \(\sqrt{x-2}\)

Taaliyah pulls her cart at a speed of 3m/s for 20 seconds. How far has she gone?

we know that the speed is equal to divide the distance by the time

so

s=d/t

we have

s=3 m/s

t=20 sec

substitute the given values

3=d/20

solve for d

d=3*20

d=60 m

therefore

Answer:

A) (-3,33) and (4,-9)

Step-by-step explanation:

The formula to find slope is m= y2-y1/ x2 - x1

33 - -9 /-3 - 4

= 42/-7

= -6

The measure of angle x from the given diagram is 130 degrees

Find the diagram attached

<b and 100⁰ are supplementary i.e they sum up to 180 degrees as shown:

<b + 100 = 180

<b = 180 - 80

<b = 80 degrees

Get the measure of angle "x"

x = <a + <b

x = 50 + 80

x = 130 degrees

Hence the measure of angle x from the given diagram is 130 degrees

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For a single alveolus requires the surface area of 0.133 square meters for gas exchange.

In this question, we have been given each human lung contains about 300 million alveoli with a summed total surface area for gas exchange of 40 square meters.

we need to find  the approximate surface area of a single alveolus.

By unitary method the required surface area would be,

A = 40/300

A = 10/75

A = 0.133 square meters

Therefore, the approximate surface area of a single alveolus = 0.133 square meters

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Answer:

○ f(x) = x² + 3x - 37

Step-by-step explanation:

Based on the given data in the table, we can observe that the function values (f(x)) correspond to different x-values. To determine the polynomial function represented by the data, we need to find the pattern or relationship between the x-values and the corresponding f(x) values.

Looking at the data, we can see that the x-values are increasing by 1 each time, and the corresponding f(x) values seem to be following a pattern. Let's analyze the data:

x | f(x)

--+-----

-8 | -35

-3 | -17

5 | 6

1 | 2

6 | 3

2 | 2

1 | 1

6 | 7

7 | 37

From the given data, it appears that the polynomial function represented by the data is:

f(x) = x² + 3x - 7

None of the provided options exactly matches this polynomial function, but the closest option is:

○ f(x) = x² + 3x - 37

So, the closest function represented by the data is f(x) = x² + 3x - 37.

Using combination, there are 1932 arrangments possible.

A combination is a mathematical approach that counts the number of potential configurations in a box containing objects, regardless of their order.

In combinations, we can select items in any order. In combinations, the order doesn’t matter.

The combination formula of given as: n! / r!(n-r)!

Each candy would be distributed in three different ways if there were no limits on how many candies might fit in a bag. 3⁷ different ways to distribute the sweets in this scenario. However, only empty blue and red bags count in this scenario.

There are 2⁷ methods to distribute candy if the red bag is left empty.

Similarly, for the blue bag.

Hence there are 2⁷ +2⁷ – 1 ways to distribute candy such that either blue or red bag is empty.

The total amount of circumstances and ways to deliver the sweets

= 3⁷ – (2⁷ + 2⁷ -1)

= 1932

Therefore, there are a total of 1932 arrangements possible.

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Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

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The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

Answer:

So you do:

2184-528

=1656

Thats more than 1500 so no, he cant afford to buy it

The price of the music system is $ 2184 which is $ 1656 more than the available balance of Nathan given by the equation A = $ 528

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 equation be represented as A

Now , the value of A is

The cost of the music system = $ 2184

The available balance of Nathan = $ 528

Now , if the price is more than $ 1500 above the available balance , the bank does not allow the credit card to be used

So , The equation A = cost of the music system - available balance of Nathan

Substituting the values in the equation , we get

A = $ 2184 - $ 528

A = $ 1656

Hence , the price is more than $ 1500 above the available balance and the bank does not allow the credit card to be used

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