The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of?

Answer: B (18.5b-21.2)

The required expression −18.5b − 21.2 is equivalent to the given expression which is the correct answer that would be option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been given the expression below as

5(−2.3b − 4.1) − (7b + 0.7)

Open the parentheses and apply the distributive property of multiplication,

⇒ −2.3b × 5 − 4.1 × 5 − 7b - 0.7

⇒ -11.5 - 20.5 − 7b - 0.7

Rearrange the likewise terms and apply the arithmetic operation,

⇒ −18.5b − 21.2

Hence, the required expression −18.5b − 21.2 is equivalent to the given expression.

Thus, the correct answer would be an option (A).

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Answer:

Step-by-step explanation:

Discussion

The numbers on each die are 1 to 6.

They are all equally likely to turn up. There are 36 possibilities in all 6*6

So getting a 10 can be done in 3 ways.

6 + 4 = 10

4 + 6 = 10

5 + 5 = 10

You can't get 10 any other way.

So of the 36 ways of throwing 2 dice, only 3 will work.

Answer

P(10)= 3/36 = 1/12 = 0.0833333...

Answer:

5^(1/2)

Step-by-step explanation:

Square root means to the power of (1/2)

cube root means to the power of (1/3)

and so on

The unit vector is [tex]\left.\pm \frac{1}{\sqrt{17}} \overline{(i}+\overline{4}\right)[/tex].

To find the unit vector:

Differentiate y = x² with respect to x.

We get, dy/dx = 2x.

The slope of a tangent:

[tex]\mathrm{P}(2,4)=\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)_{\mathrm{atP}(2,4)}=2 \times 2=4[/tex]

Tangent P equation is:

y = 4x is the equation of a line passing through the origin O and parallel to the tangent at P.

This line's direction ratios are 1, 4, and 0, and its direction cosines are:

[tex]\pm \frac{1}{\sqrt{1^2+4^2+0^2}}, \pm \frac{4}{\sqrt{1^2+4^2+0^2}}, 0\\\pm \frac{1}{\sqrt{17}}, \pm \frac{4}{\sqrt{17}}, 0[/tex]

The number of unit vectors parallel to the tangent line at P(2,4) is:

[tex]\left.\pm \frac{1}{\sqrt{17}} \overline{(i}+\bar{j}\right)[/tex]

Therefore, the unit vector is [tex]\left.\pm \frac{1}{\sqrt{17}} \overline{(i}+\overline{4}\right)[/tex].

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The correct question is given below:
Find the unit vectors that are parallel to the tangent line to the parabola y=x^2 at the point (2, 4).

Answer: The height of the tree is 35.4 ft.

Step-by-step explanation:

14.16/1.2 = 11.8

3 * 11.8 = 35.4

The number of miles in a day at which the rental costs for Company A and Company B are the same will be 10 miles.

Let the number of miles be represented by x.

Therefore the equation for the first company will be 90 + 0.4m

The equation for the second company will be 60 + 0.7m

Therefore, we will equate them. This will be:

90 + 0.4m = 60 + 0.7m

Collect like terms

90 - 60 = 0.7m - 0.4m

0.3m = 30

m = 30/0.3

m = 10

The number of miles will be 10 miles.

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Answer: Equation using slope intercept from y= -(5/2)x +26

Step-by-step explanation:

Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).

The line given is y=(2/5)x-(1/5)

Which we can rewrite in y= mx+b form as

y=(2/5)x-(1/5)

So slope of this line is (2/5)

A line perpendicular will have slope = -(5/2) ,  Which is (1/m)

Equation of new line will be

y = -(5/2)x +b

Now we need to find b

Plug in Point (-4,16)

Replace with the (-4,16) values

16 = (5/2) (-4) +b

solve it, 16=(-10)+b

16+10=b

b=26

Equation using slope intercept from y= -(5/2)x +26

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Answer:

a = 6

Step-by-step explanation:

Hello!

First, let's isolate the Absolute Value bracket.

Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.

That means a has to be greater than 4 for it to be negative. a should be 6.

a = 6

The value of given equation i.e. [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]

Given a equation i.e.[tex]\frac{m-1}{m}[/tex]=3 and asked  to calculate the value of the equation  [tex]m^{3} -\frac{1}{m^{3} }[/tex]

To calculate the value of   [tex]m^{3} -\frac{1}{m^{3} }[/tex] , Need to use various operations like subtraction and division)

Given .[tex]\frac{m-1}{m}[/tex]=3

⇒m-1=3m ( cross multiplies 3 and m)

⇒2m=-1( subtraction is used)

⇒m=-[tex]\frac{1}{2}[/tex]( division is used)

Thefore the value of m in the given equation i.e.[tex]\frac{m-1}{m}[/tex]=3 is -[tex]\frac{1}{2}[/tex]

⇒ [tex]m^{3} -\frac{1}{m^{3} }[/tex]

Here the value of m =-[tex]\frac{1}{2}[/tex]

Substituting the value of m in the given equation

⇒[tex](\frac{-1}{2} )^{3}[/tex]-[tex](-2)^{3}[/tex]

⇒[tex]\frac{-1}{8}[/tex]+8(addition is used)

⇒[tex]\frac{64-1}{8}[/tex]

⇒[tex]\frac{63}{8}[/tex]

Therefore, the value of the given equation i.e.  [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]

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Joann worked for  64 hours in week.

Let the number of hours she work be x. The payment for first 35 hours will be added with the multiple of number of extra hours and payment for the same.

Forming the equation according above mentioned statement :

13 + 19.5x = 572

Solving the equation to find the number of hours worked by Joann

Shifting 13 to Right Hand Side of the equation

19.5x = 572 - 13

Performing subtraction on Right Hand Side of the equation

19.5x =  559

Shifting 19.5 to Right Hand Side of the equation at denominator

x = 559 ÷ 19.5

x = 28.67 hours

Rounding off the number of hours, we get the value = 29

So, Joann worked for 29 extra hours. To find the total number of hours she worked, we will simply add her working hours.

Total number of hours Joann worked = 35 hours + extra hours

Total number of hours Joann worked = 35 + 29

Total number of hours Joann worked = 64 hours

Hence, Joann worked for 64 hours in week.

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You will $0.29, if you will purchase 2 small bags of flour instead of 1 big bag.

For the given question;

The total cost of one big bag that is 10-lb bag of flour = $3.69.

Now, the cost of one small bag that is 5-lb = $1.55.

Thus, the cost for two small bag that is 5-lb = $3.10.

The difference in the cost = big bag cost - 2 small bag costs.

The difference in the cost = $3.69 - $3.10

The difference in the cost = $0.29.

Thus, you will save $0.29 for the purchase of 2 small bags of floor instead of one big bag.

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The location of the point A' after dilation is; A'(-10, 15)

We are given that the Quadrilateral BASE is located at the following coordinates;

B(3, 4), A(-2, 3), S(4, 0), and E(-2, 5).

Now, if it is dilated by a scale factor of, it means that each of the coordinates values would be multiplied by 5 to get the new coordinates as;

B'(15, 20), A'(-10, 15), S'(20, 0), and E'(-10, 25).

Thus, we can conclude that the location of the point A' after dilation is; A'(-10, 15)

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Answer:

16 each

Step-by-step explanation:

Since you didn't say how much of the yield Jacob gave to the restaurant or the neighbor, I'm going to assume he kept an even share and gave them each the same share.

Assuming that, we would have to divide his harvest by 3

48/3 = 16

this means that 16 went to his neighbor, 16 to the restaurant and 16 were saved for himself.

Hope this helps! ^^

Answer:

It is the last answer [tex]\frac{16\pi }{3}[/tex]

Step-by-step explanation:

the volume of the cylinder is the area of the base times the height.  The area of a circle is

a = [tex]\pi r^{2}[/tex]  We are give the diameter is 8.  The radius is 1/2 of the diameter so the radius is 4. [tex]4^{2}[/tex] = 16

a = 16[tex]\pi[/tex]  If the cone is 1/3 of that, we divide this answer by 3 to get

a = [tex]\frac{16\pi }{3}[/tex]

-14 is the 81th term.

The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.

To confirm : 2 1/5 - 2 = 1/5

The linear equation that can be used to determine the position of a number is:

2 1/5 - 1/5(x)

Where x is the position of the number

For example, the third number is

2 1/5 - 1/5(3)  = 1 4/5

Given the number, the position of the number can be determined using the above linear equation:

-14 = 2 1/5 - 1/5(x)

In order to determine the value of x, take the following steps:

Multiply through by 5

(-14 x 5) = (11/5 x 5) - (x / 5 x 5)

-70 = 11 -x

Combine similar terms: 70 + 11 = x

Add similar terms: x = 81

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The value of x in the figure is 5

From the figure, we have the following parameters are:

NM = 9

ML = 2x - 7

NL = x + 7

This means that

NL = NM + ML

So, we have:

x + 7 = 9 + 2x - 7

Collect the like terns

x - 2x = 9 - 7 - 7

Evaluate

-x = -5

This gives

x = 5

Hence, the value of x in the figure is 5

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Answer:

D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

Let μ = mean time to complete a role-playing game.

The company claims that their role-playing games take over 65 hours to complete, so the hypotheses are:

H₀: μ = 65       H₁: μ > 65

Therefore, this is a one-tailed test.

The significance level is 1%, so α = 0.01.

Find the value of the test statistic (z):

[tex]\textsf{sample mean }\overline{x}=63,\quad \sigma=10, \quad n=300[/tex]

[tex]\implies z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}=\dfrac{63-65}{10 / \sqrt{300}}=-2\sqrt{3}=-3.4641...[/tex]

Using the “Percentage Points of The Normal Distribution” table, the critical value is z = 2.3263 meaning the critical region is Z > 2.3263.

Since z = -3.4641... < 2.3263, the observed value of the test statistic lies outside the critical region.  Therefore, the result is not significant.

Conclusion

There is sufficient evidence at the 1% level of significance to fail to reject H₀ and to oppose the alternative hypothesis that the mean time to complete the role-playing game is more than 65 hours.

Answer:

A) Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

g(x) = |x|.

The translated function is:

f(x) = 3|x + 1| - 6.

The multiplication by 3 means that the function was stretched vertically by a factor of 3, hence:

The 3 will make the parent function vertically stretch by a factor of 3.

At x -> x + 1, we have that the function was shifted one unit left, hence:

The x + 1 will make the parent function shift horizontally left 1 unit.

For the subtraction by 6, the function was shifted down 6 units, hence:

The -6 will make the parent function shift vertically down 1 unit.

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The composite function or combined functions of x(A) and V(x) is V(x(A)) = (√A/6)³ option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

A function relates an input to an output.

x2 (squaring) is a function

x3+1 is also a function

Sine, Cosine, and Tangent are functions used in trigonometry.

Although part of the question is missing the question is The function x(A)= √A/6 can be used to determine the side length, x, of a cube given the surface area of the cube, A. The function V(x)= x³ can be used to find the volume of a cube. how can these functions be combined?

a. x(v(A))= sqrt x^3/6

b. V(x(A)) = sqrt x3/6

c. V(x(A))=(sqrt A/6)^3

d. x(v(A))= (sqrt A/6)^3

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +0}{2}~~~ ,~~~ \cfrac{ y +6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(5~~,~~-8)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+0}{2}=5\implies \boxed{x=10} \\\\\\ \cfrac{y+6}{2}=-8\implies y+6=-16\implies \boxed{y=-22}[/tex]

The value of y for the given input x=7 is 15.

The given function is  y=2x+1.

We need to graph the given function.

Graphing functions is the process of drawing the graph (curve) of the corresponding function. Graphing basic functions like linear, quadratic, cubic, etc is pretty simple, graphing functions that are complex like rational, logarithmic, etc, need some skill and some mathematical concepts to understand.

Now,

Graph the line using the slope and y-intercept, or two points.

Slope: 2

y-intercept: (0, 1)

Plot the points (0, 1) and (1, 3)

The value of y for x=7 is y=2(7)+1=15

Therefore, the value of y for the given input x=7 is 15.

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Answer:

8−5=3

Step-by-step explanation:

Answer:

634342

FACTOR:

2 x 317171

Answer:

It has 1 line off symmetry.

Step-by-step explanation:

it has one straight from the top point all the way down.

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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Based on the information above, it can be inferred that the diver is at a depth of 36 ft below water level.

To calculate the final elevation of the diver we must take into account the depth at which he was at the beginning and the changes he made in his position.

To calculate his current position we must subtract the number of feet he ascended from the number of feet he was at at the beginning:

Based on the above, it can be inferred that when the diver ascended to see a school of fish, he was 36 ft below the surface of the water.

Note: This question is incomplete because there is some information missing. Here is the complete information:

A scuba diver is swimming at an elevation of 52 feet below sea level. She sees a school of fish and rises 16 feet to watch the fish. What is her elevation now? A fish swims 27 feet below.

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The correct option is (b) sample size.

In the formula for calculating the standard deviation, the letter n represent  sample size.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:

Standard Deviation = [tex]\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }[/tex]

Where,

[tex]x_{i}[/tex]= value of the i th point the the given data set.

[tex]barx[/tex]= mean value

n = total number of data points.

Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.

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