What number is 0.1 less than 15.2?

Enter your answer as a decimal in the box.

Answer:

the answer is either 47 or 35

Step-by-step explanation:

this is. Because the only factors of five are 5 or 1 so all you can do is 5x3weeks=15 so 32+15=47

Or it can be 32+(1x3weeks)=32+3=35

To find the surface area of a regular pyramid, we need to add the area of the base to the area of the triangular faces. The formula for the surface area of a regular pyramid is SA = (1/2)Pl + B, where SA is the surface area, P is the perimeter of the base, l is the slant height of the pyramid, and B is the area of the base.

The surface area of a regular pyramid can be calculated using the formula SA = (1/2)Pl + B, where P is the perimeter of the base, l is the slant height, and B is the area of the base. To find the perimeter of the base, we simply add up the lengths of all the sides. Once we have the perimeter, we can calculate the area of each triangular face using the formula (1/2)Pl. The slant height is the distance from the apex of the pyramid to the midpoint of any edge of the base. Finally, we add up the area of the base and the area of the triangular faces to get the total surface area of the pyramid.

In conclusion, the formula for finding the surface area of a regular pyramid is SA = (1/2)Pl + B. To use this formula, we need to know the perimeter of the base, the slant height, and the area of the base. By adding up the area of the base and the area of the triangular faces, we can find the total surface area of the pyramid.

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Answer:

A)9734.4

B)9730.8

Step-by-step explanation:

9000 x 1.04 = 9360

9360 x 1.04 = 9734.4

9000 x 1.02 = 9180

9180 x 1.06 = 9730.8

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Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

The option that describes the end behavior of the graph of the square root function with coordinates (-3, 0), (0, 3), (2, 4), and (5, 5), is the option;

C. As x decreases in value, y decreases in value. As x increases in value, y increases in value.

The given coordinates on the graph are;

(-3, 0), (0, 3), (2, 4), and (5, 5)

The coordinates of the starting point of the graph = (-3, 0)

Shape of the graph = Extends from point (-3, 0), upwards and to the right

Therefore;

As the x-value increases, the y-value increases and vice versa, with, x increasing faster than y.

However, given that the graph is for a square root function, the correct option is option C;

C. As x decreases in value, y decreases in value. As x increases in value, y increases in value.

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Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

\(y=7-4x\)

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

\(y=mx+b\)                ...(i)

We have,

\(y=7-4x\)                   ...(ii)

On comparing (i) and (ii), we get

\(m=-4\)

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{-2-1}{2-(-3)}\)

\(m=\dfrac{-3}{2+3}\)

\(m=\dfrac{-3}{5}\)

Therefore, the gradient of the line L is \(\dfrac{-3}{5}\).

Answer:

t greater than or equal to 9.25

And

t less than or equal to 10.75

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

Example:

2 > 1

3x > 6, x values will be greater than 3.

We have,

The targeted weight of the bag = 10 pounds

The weight of each bag differs from 10 pounds at most by 0.75 pounds.

The acceptable weight of the bag can be:

0.1 pound to 9.25 pounds.

i.e,

10 - 9.25 = 0.75

Let x = acceptable weights

The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25

Thus,

The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25

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The dimensions of the scale model of your room would be 3/4 inch represents 1 foot. To determine the dimensions of the scale model, we need to apply the scale ratio of 3/4 inch represents 1 foot.

Let's assume the length and width of your actual room are L feet and W feet, respectively. To find the dimensions of the scale model, we can multiply the actual dimensions by the scale ratio.

The length of the scale model would be L * (3/4) inch, and the width would be W * (3/4) inch.

For example, if your actual room is 12 feet long and 10 feet wide, the dimensions of the scale model would be:

Length of the scale model = 12 feet * (3/4) inch = 9 inches

Width of the scale model = 10 feet * (3/4) inch = 7.5 inches

Therefore, the scale model would have a length of 9 inches and a width of 7.5 inches, based on the given scale ratio.

It's important to note that when creating a scale model, maintaining the proportionality between the actual dimensions and the model dimensions is crucial to accurately represent the physical space in a smaller scale.

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Answer:

=5.820

Step-by-step explanation:

  0 0 5. 8 2 0

4 5 2 6 1. 9 0 0

 − 0          

   2 6        

 −   0        

 ------------------------------------------------------------------------------------------------

 2 6 1      

 − 2 2 5      

----------------------------------------------------------------------------------  

  3 6 9    

   − 3 6 0    

-----------------------------------------------------------------------------------

         9 0  

       − 9 0  

---------------------------------------------------------------------------------

         0 0

         −   0

---------------------------------------------------------------------------------

             0

Testing the hypothesis "Americans express executives hypothesize that 40% of college students own an Americans express credit card." is an example of generalizing.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge. A straightforward hypothesis only hypothesizes the relationship between two independent and dependent variables.

An example of testing a generalization is "American Express executives' hypothesis that 40% of college students own an American Express credit card."

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I already answered this question to this student today. Student unresponsive.

Answer:

maybe the answer ris 36×4 and then 30×4 and subtract the result?!?!

For this, multiply 150 × .20 = 30

Therefore, 20% of 150 is 30.

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The inequality that represents all the solutions of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4

From the question, we have the following parameters that can be used in our computation:

-2(3x + 6) ≥ 4(x + 7)

Divide both sides of the inequality by -2

So, we have the following representation

3x + 6 ≤ -2(x + 7)

Open the brackets

This gives

3x + 6 ≤ -2x - 14

Add 2x to both sides of the inequality

So, we have the following representations

5x + 6 ≤ -14

Subtract 6 from both sides of the inequality

So, we have the following representations

5x ≤ -20

Divide both side of the inequality

x ≤ -4

Hence, the solution is x ≤ -4

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Answer:

(0, 2)

Step-by-step explanation:

The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).

Making a table of t and g values would be helpful here:

 t      g(t) = -(t - 1)^2 + 5

------ -----

  2     4

  0     4

 -1      1

  1      5

We're looking for an interval on which the average rate of change is zero.

Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).

The average rate of change of \(g(t)=-(t-1)^2+5\) is 0 in interval \(-1\leq t\leq 3\).

Given,

\(g(t)=-(t-1)^2+5\\\).

We have to find the interval in which \(g(t)=-(t-1)^2+5\\\) have an average rate of change of zero.

We know that, the function \(f(x)\) will have average range of 0 when \(f(b)=f(a)\).

Now we calculate g(1), g(2),g(3) and g(-1),

\(g(1)=-(1-1)^2+5\\g(1)=5\)

\(g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4\)

\(g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1\)

\(g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1\)

Since,

\(g(3)=g(-1)=1\)  so the function \(g(t)=-(t-1)^2+5\\\) has an average rate of zero at \(-1\leq t\leq 3\).

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Therefore, the volume of the solid generated by revolving the region bounded by y= x2, y = 0, and x = 2 about the x-axis is 16.

To find the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis, we will use the method of cylindrical shells.
First, let'sgraph the region to better visualize it.
graph{y=x^2 [-10, 10, -5, 5]}

The region is bounded by the x-axis, the line x=2, and the curve y=x^2. When we revolve this region about the x-axis, we will generate a solid with a cylindrical shape. To find the volume of this solid, we will slice it into thin cylindrical shells and add up the volumes of each shell.
Let's consider a thin slice of the region at x. The height of this slice will be given by the curve y=x^2, and the thickness of the slice will be dx. When we revolve this slice about the x-axis, it will generate a cylindrical shell with radius x and height x^2. The volume of this shell can be calculated using the formula for the volume of a cylinder:

V = 2πrxh

where r is the radius of the cylinder, h is its height, and π is the constant pi. In this case, we have r = x and h = x^2, so
V = 2πx(x^2)
V = 2πx^3
To find the total volume of the solid, we need to add up the volumes of all these cylindrical shells from x=0 to x=2:
V = ∫(0 to 2) 2πx^3 dx
V = πx^4 |(0 to 2)
V = π(2^4 - 0^4)
V = 16π
Therefore, the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis is 16π.

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Answer:

36 feet

Step-by-step explanation:

Let us first find the area of the of the flower bed. It is a rectangle, so:

A = 18 * 4.5 = 81 square feet

The square flower bed has the same area, therefore, the length of the sides of the flower bed can be gotten. The area of a square is:

\(A = L^2\)

\(81 = L^2\\\\L = \sqrt{81}\)

L = 9 feet

Next, we need to find the perimeter of the square flower bed:

P = 4L

=> P = 4 * 9 = 36 feet

He needed 36 feet of fence to enclose the entire square flower bed.

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

\(f(x)=\sqrt{x}\\\\g(x)=7x+b\)

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

\(f(g(x))=\sqrt{(7x+b)}\)

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

\(y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b\)

Therefore, the value of b is equal to 8.

\(\huge\text{Hey there!}\)

\(\textsf{Assuming:}\)

\(\mathsf{w + (w - \dfrac{12}{2^2} \times 3)(7)}\)

\(\textsf{If so:}\)

\(\mathsf{w + (w - \dfrac{12}{2^2} \times 3)(7)}\)

\(\mathsf{= 10 + (10 - \dfrac{12}{2^2} \times 3)(7)}\)

\(\mathsf{= 10 + (10 - \dfrac{12}{2\times2} \times 3)(7)}\)

\(\mathsf{= 10 + (10 - \dfrac{12}{4} \times 3)(7)}\)

\(\mathsf{= 10 + (10 -3 \times 3)(7)}\)

\(\mathsf{= 10 + (10 - 9)(7)}\)

\(\mathsf{= 10 + (1)(7)}\)

\(\mathsf{= 10 + 7}\)

\(\mathsf{= 17}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\textbf{Option D. }\frak{017}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The midpoint of a segment with endpoints of 4 – 3i and –2 + 7i is 1+2i

A location that is precisely halfway between two other points is considered to be a line segment's midway. From each terminus of the straight line segment, it is the same distance.

The two complex numbers can be expressed as;

a + bi = 4 − 3i

s + ti = -2 + 7i.

Midpoint Formula for the 2 complex numbers  can be expressed as

Midpoint = \(\frac{a+s}{2} + \frac{b+t}{2} i\\\\\\\frac{4-2}{2} + \frac{-3+7}{2} i\)

midpoint = 1+2i

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False. assume condition one has two values, condition two has five values, condition three has three values, and condition four has two values; the number of rules required for the decision table is sixty.

The number of rules required for a decision table can be calculated by multiplying the number of values in each condition. In this case, condition one has two values, condition two has five values, condition three has three values, and condition four has two values. The total number of rules would be the product of these values: 2 x 5 x 3 x 2 = 60.

Therefore, the statement "the number of rules required for the decision table is sixty" is true.

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Answer:

Mary increased both assets and liabilities.

Step-by-step explanation:

Answer:

Yeah

Step-by-step explanation:

1. understand time management

2. Value time.

3. use time wisely

4. take advantage of the opportunity of extra time.

5. smile, it's all linear! : )

(1) [35 marks]What is the distribution of Xi  Compute E[Xi] and Var[Xi].The number of balls that fall into the i-th box is a binomial random variable since there are n balls and the probability that each ball falls into the i-th box is 1/m. As a result, Xi is a binomial random variable with parameters (n, 1/m).

Expected Value of Xi:Let X be a binomial random variable with parameters (n, p). The expected value of X is np. Xi is a binomial random variable with parameters (n, 1/m).

Therefore, E[Xi]

= n(1/m).

Therefore,

E[Xi] = n/m. Variance of Xi:Let X be a binomial random variable with parameters (n, p).

The variance of X is np(1-p).

Xi is a binomial random variable with parameters (n, 1/m). The variance of Xi is as follows:

Var[Xi] = n(1/m)(1-1/m).

Therefore,

Var[Xi] = n(1/m)(1 - 1/m). Therefore, Pr[Xi<4] ≤ 0.54.

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Given:

To find:

The solution.

Explanation:

Using the Cramer's rule,

Let us find the value of x and y.

Therefore, the solution is (-5, 2).

Final answer:

The value of x is -5 and the value of y is 2.

The solution is (-5, 2).

Answer:

50 m

Step-by-step explanation:

We find the perimeter by adding all the sides of our figure.

The initial figure has perimeter :

P = 2 + 5 + 1 + 3 + 3 + 1 + 5

P = 20 m

The dilated figure with the scale factor of 2.5 has perimeter:

P = (2 + 5 + 1 + 3 + 3 + 1 + 5 ) · 2.5

P = 20 * 2.5 = 50 m

Charlie is correct.

Step-by-step explanation:

'a' region is    53  out of (53+81+106+85 + 64 = 389)

53/389 ths of the 360 degree circle would be the  a's

53/389  * 360 =    49 degrees

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

\(f(x)=\frac{e^7^x+\sqrt{3}}{2}\)

\(y=\frac{e^7^x+\sqrt{3}}{2}\)

\(x=\frac{e^7^y+\sqrt{3}}{2}\)

\(2x=e^7^y+\sqrt{3}\)

\(e^7^y=2x-\sqrt{3}\)

\(7y=ln(2x-\sqrt{3})\)

\(y=\frac{ln(2x-\sqrt{3})}{7}\)

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

\(g(f(x))\)

\(g(\frac{e^7^x+\sqrt{3}}{2})\)

\(\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}\)

2s cancel.

\(\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}\)

The natural log and e cancel.

\(\frac{7x+\sqrt{3}-\sqrt{3}}{7}\)

\(\sqrt{3}\)s cancel.

\(\frac{7x}{7}\)

7s cancel.

\(x\)

Hope this helps!