Find the surface area of a hexagonal pyramid with a apothem of 3 square root of 2 and height of 3

Answer:

x = 49

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{DN}{KJ}\) = \(\frac{DG}{KM}\) , substitute values

\(\frac{5}{35}\) = \(\frac{8}{x+7}\) ( cross- multiply )

5(x + 7) = 280 ( divide both sides by 5 )

x + 7 = 56 ( subtract 7 from both sides )

x = 49

Answer:

5x-4y = -32

Step-by-step explanation:

We can first get an equation in point slope form since we have a point and a slope

y-y1 = m ( x-x1) where m is the slope and (x1,y1) is a point on the line

y- -2 = 5/4(x- - 8)

y+2 = 5/4 (x+8)

Multiply each side by 4 to get rid of fractions

4(y+2) = 5/4 *4 (x+8)

4(y+2) = 5(x+8)

Distribute

4y+8=5x+40

Subtracy 4y from each side

8 = 5x-4y+40

Subtract 40 from each side

8-40 = 5x-4y

-32 = 5x-4y

5x-4y = -32

Answer:

14

Step-by-step explanation:

Use Pemdas

Solve in parentheses:

17 - 12 = 5

Multiplication:

2 * 5 = 10

Addition:

10 + 4 = 14

Answer is 14

Answer: 14

Steps:

\(Follow\:the\:PEMDAS\:order\:of\:operations\)

Calculate within parentheses (17 − 12 ) : 5

\(=4+2\cdot \:5\)

Multiply and divide (left to right) 2 · 5 : 10

\(=4+10\)

Add and subtract (left to right) 4 + 10 : 14

=14

#\(AnimePower\)

Answer:

The are of the trinagle is 288ft squared

Step-by-step explanation:

18 * 32 = 576

576 / 2 = 288ft^2

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

If the probability of obtaining a score less than x = 70 is p = 0.0013, the score that corresponds to a probability of 0.0013 is x = 38.2.

We are referring to a normal distribution with a mean (µ) of 100 and a standard deviation (σ) of 20. You want to find the probability of obtaining a score less than x = 70, and you provided that the probability (p) is 0.0013. In a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score less than x = 70 is p = 0.0013. Based on the information given, we know that the probability of obtaining a score less than x = 70 is p = 0.0013. This means that the z-score for x = 70 is -3.09 (found using a standard normal distribution table or calculator).

To find the z-score, we use the formula:

z = (x - µ) / σ

Plugging in the values we know:

-3.09 = (70 - 100) / 20

Solving for x:

-3.09 = (x - 100) / 20

-3.09 * 20 = x - 100

-61.8 + 100 = x

x = 38.2

Therefore, the score that corresponds to a probability of 0.0013 is x = 38.2.

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The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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The future GDP of Country H in 4 years, with an annual growth rate of 30%, starting from its present GDP of $689, will be approximately $2,250. This can be solved by the concept of compound interest.

To calculate the future GDP of Country H, we need to use the compound interest formula:

A = P(1 + r/n)^(nt)

where A is the future value, P is the present value, r is the annual growth rate, n is the number of times the interest is compounded in a year, and t is the time period.

In this case, P = $689, r = 30%, n = 1 (since the growth rate is annual), and t = 4 (since we want to find the future GDP in 4 years). Therefore, the formula becomes:

A = $689(1 + 0.30/1)^(1*4)

A = $689(1.30)^4

A = $2,248.98

Rounding this to the nearest whole number gives us a future GDP of approximately $2,250.

Therefore, the answer is: Future GDP = $2,250

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The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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Simplify implies to reduce a mathematical expression to it lowest form. The 4th root of the given question is 6x.

Simplification is a process which requires showing a given equation in its most simple form. Such that it can not be simplified further i.e complete simplification.

To simplify the given question completely, convert all the terms to the power of 4. Because we are to simplify the 4th root of the given expression.

So that,

\(\sqrt[4]{1296x^{2} }\)  =  \(\sqrt[4]{(6^{4})(x^{4}) }\)

              = \(((6^{4})*(x^{4}) ^{\frac{1}{4} }\)

expand as follows;

\(((6^{4})*(x^{4}) ^{\frac{1}{4} }\) = \((6)^{\frac{4}{4} } (x)^{\frac{4}{4} }\)

                    = 6*x

                    = 6x

Therefore, the simplified form of the given question is 6x.

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Answer:

35

Step-by-step explanation:

Over b

We will determine how to evaluate a function with respect to an input value.

A function is defined as a mathematical relationship between the input and output. Where the function gives the output but depends on the input value. The relationship of a function is defined in terms of the input variable as follows:

The above function g ( n ) depends on the input variable ( n ). The relationship is mathematically expressed in terms of the input variable ( n ).

We are to evaluate the above function g ( n ) for the input value of n = -3. We will simply substitute the value of ( n )-input variable in the expressed relationship as follows:

The output value corresponding to the input of the function g ( -3 ) is :

The width of the dart position distribution relates to the statistical variable known as standard deviation.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. In the context of the dart position distribution, the width of the distribution reflects the amount of variation in the positions of the darts.

A wider distribution indicates a larger standard deviation, meaning there is more variation in the positions of the darts. Conversely, a narrower distribution indicates a smaller standard deviation, meaning there is less variation in the positions of the darts.

In summary, the width of the dart position distribution is a reflection of the standard deviation of the data set.

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Answer: x = 40

Step-by-step explanation: 72/43.2 =x/27

1,944 =43.2 (round off)

x = 40

(i think!)

Answer:

Third option is the right choice.

Step-by-step explanation:

Manipulate the right hand side.

\(\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}\)

Best Regards!

Answer:

sin ^2 (x)+ cos^2(x)  = 1

Step-by-step explanation:

sin ^2 (x)+ cos^2(x)

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

cos (x)

We know that  sin ^2 (x)+ cos^2(x)  = 1

1

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

cos (x)

The definition of sec is 1 /cos

= sec(x)

Step-by-step explanation:

the answer is in the image above

a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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Answer:

Step-by-step explanation:

2x+4y=48

5x+2y=64

Adult ticket: $10    Child ticket: $7

For 2 adults and 3 children with the given price per ticket, the family having brought $40 as a budget, their budget would not be high enough as the total would come to be $41. They'd be a dollar short.

Answer:

Your answer is $24

Step-by-step explanation:

5*4 is 20, so all that you have to do it 6*4

Answer:

27%

Step-by-step explanation:

Answer:

The answer is -15.

Step-by-step explanation:

f(x) = 4x + 1 -- Substitute -4 for x.

f(-4) = 4(-4) + 1

= -16 + 1

= -15

Duval Street between latitudes (3,1) and (7,5). Val resides between coordinates (2, 15) and (-6, 3). Braxton Lane and Duval Street are not parallel or perpendicular.

Given that,

Mary resides on Duval Street between latitudes (3,1) and (7,5). On Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).

We have to find is Braxton Lane and Duval Street parallel or perpendicular.

To find the lines are parallel or perpendicular we have to find the slope of those points.

If slopes are equal then the lines are parallel.

If slopes are negative reciprocal then the lines are perpendicular.

We find the slope of Mary resides on Duval Street between latitudes (3,1) and (7,5).

m₁=\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

m₁=\(\frac{5 -1 }{7-3 }\)

m₁=4/4

m₁=1

The slope of the Mary resides on Duval Street between latitudes (3,1) and (7,5) is 1.

We find the slope of Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).

m₂=\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

m₂=\(\frac{3 -15 }{-6-2 }\)

m₂=-12/-8

m₂=3/2

The slope of the Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3) is 3/2.

m₁≠m₂

Therefore, Braxton Lane and Duval Street are not parallel or perpendicular.

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Answer:

6.62km

Step-by-step explanation:

you do 7.47-075 which makes 6.62

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

a) In the right triangle ABC, let AD = x. Since DB is 5 units longer than AD, we can express DB as DB = x + 5.

b) The altitude CD is drawn to the hypotenuse AB, so we can use similar triangles to write an equation. The ratio of the lengths of the corresponding sides in similar triangles is equal. Therefore, we have:

AD/CD = AB/BC

Substituting the given values, we have x/6 = AB/BC.

c) To find AD and AC, we need to solve the equation in part b) and use the Pythagorean theorem. Solving for AB in terms of x, we have AB = (x/6) * BC.

Using the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

Substituting the expressions for AB and BC, we have:

AC^2 = [(x/6) * BC]^2 + BC^2

Simplifying and solving for AC, we find AC = BC * √(1 + (x/6)^2).

To find the specific values of AD and AC, we need additional information, such as the length of BC or another relationship between the sides of the triangle. Without this information, we cannot determine the exact values of AD and AC.

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the volume of the solid obtained by rotating the rectangle with width a and height x about the x-axis is (2π/3) a^3

Assuming you meant "a rectangle with width x", we can find the volume of the solid obtained by rotating this rectangle about the x-axis using the method of cylindrical shells.

Consider a thin vertical strip of width dx at a distance x from the y-axis. The length of this strip is the height of the rectangle, which is x. When this strip is rotated about the x-axis, it sweeps out a cylindrical shell of radius x and thickness dx. The volume of this cylindrical shell is given by 2πx(x dx) = 2πx^2 dx.

To find the total volume of the solid, we integrate the volume of each cylindrical shell from x = 0 to x = a, where a is the width of the rectangle. Therefore, the volume of the solid is given by:

V = ∫ 2πx^2 dx (from x = 0 to x = a)

V = [2π/3 x^3] (from x = 0 to x = a)

V = (2π/3) a^3

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The measure of central tendency most likely to be affected by an outlier is the mean.

The mean is calculated by summing all the values in a dataset and dividing by the total number of values. Since the mean takes into account every value in the dataset, it is sensitive to extreme values or outliers. An outlier is a value that significantly deviates from the other values in the dataset.

When an outlier is present in the dataset, its extreme value can heavily influence the sum of all values and consequently impact the calculation of the mean. This is because the mean is directly affected by the magnitude of each value, and outliers can greatly skew the overall average. Even a single outlier can pull the mean towards its extreme value.

In contrast, other measures of central tendency, such as the median and mode, are less affected by outliers. The median represents the middle value when the dataset is ordered, so extreme values do not influence it as much. The mode represents the most frequently occurring value and is not influenced by outliers unless the outlier itself becomes the mode.

Therefore, when there is an outlier present in a dataset, the mean is the measure of central tendency that is most likely to be affected, while the median and mode provide more robust measures in such cases. It is important to consider the presence of outliers and choose the appropriate measure of central tendency accordingly.

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The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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