which of the following shows the length of the third side, inches, of the triangle below?40 in10 in20 in850 in

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

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The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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Answer:

12.50m/s

in 2 seconds: 25

im not really good at math but i tried

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

For a rotation of 180° clockwise or counterclockwise, the x and y will always be the opposite. For instance, if coordinates (4, 7) are being 180° rotated, the new set of coordinates will be (-4, -7).

Remembering the rule, the final answer to your question is A, 180° clockwise rotation about the origin.

Answer:

welp-_- in 1 yard theres 3 so..........in 5 yards there 15 feet + 1 is 16 your welcome

Step-by-step explanation:

but..................subscribe to my channel

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*take the space out*

A) The property being used is the distributive property of multiplication.
B) The properties used to determine (9 x 6) x 5 mentally by multiplying (9 x 5) x 6 are the associative property of multiplication and the commutative property of multiplication.

The distributive property of multiplication is used when someone determines 24 x 12 by adding (24 x 10) and (24 x 2). This property is when we can split an expression that consists of the sum or difference of two terms multiplied by a third term.

This can be represented as a(b + c) = ab + ac or a(b - c) = ab - ac. In the problem, the expression 24 x 12 is split into 24 x 10 and 24 x 2 to make it easier to solve.
When someone determines (9 x 6) x 5 mentally by multiplying (9 x 5) x 6, they are using the associative property of multiplication and the commutative property of multiplication.

The associative property states that changing the grouping of the factors does not change the product. This can be represented as (a x b) x c = a x (b x c).

In the problem, the person multiplied 9 by 5 first and then multiplied the result by 6, which is the same as multiplying 6 by 9 first and then multiplying the result by 5.

The commutative property states that the order of the factors does not change the product. This can be represented as a x b = b x a. In the problem, the person switched the order of 9 and 5 to make it easier to solve mentally.

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The most suitable data type for storing the enrollment date is Datetime.

'Datetime' is a data type in SQL that can store the date and time value, with the highest precision up to fractions of a second. This data type can store dates between January 1, 1753, and December 31, 9999, which makes it suitable for storing the enrollment date that ranges from January 1, 1980, to December 31, 2350.

'The smalldatetime' data type is also an option, but it has a lower precision and only stores the date and time with minutes accuracy. The 'date', 'day', 'month', 'year', and 'time' data types are not suitable for storing the enrollment date as they only store either the date or time component and not both.

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The system of equations that allows finding the cost of each bag of tulip bulbs (t) and each bag of daffodil bulbs (d) are:

A system of equations refers to simultaneous equations, which are two or more equations that must be solved together.

                           Tulip      Daffodil     Total Sales

Lisa's sales             4              8               $176

Mark's sales           8              6               $192

Lisa's sales, L = 4t + 8d = 176 ... equation 1

Mark's sales, M = 8t + 6d = 192 ... equation 2

Multiply equation 1 by 2:

8t + 16d = 352 ... equation 3

Subtract equation 2 from equation 3:

8t + 16d = 352

- 8t + 6d = 192

= 10d = 160 (352 - 192)

d = 16 (160/10)

Substitute d in either equation 1 or 2, to get t:

8t + 6d = 192

8t + 6(16) = 192

8t + 96 = 192

8t = 96

t = 12 (96/8)

4t + 8d = 176

= 4(12) + 8(16) = 176

= 48 + 128 = 176

176 = 176

Thus, the cost of each bag of tulip bulbs (t) is $12, while the cost of one bag of daffodil bulbs (d) is $16 based on the system of equations above.

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Answer:

this is the correct answer B. y+1= -2(x-2)

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

(a) The differential equation

\(y' + \dfrac14 y = 3 + 2 \cos(2x)\)

is linear, so we can use the integrating factor method. We have I.F.

\(\mu = \displaystyle \exp\left(\int \frac{dx}4\right) = e^{x/4}\)

so that multiplying both sides by \(\mu\) gives

\(e^{x/4} y' + \dfrac14 e^{x/4} y = 3e^{x/4} + 2 e^{x/4} \cos(2x)\)

\(\left(e^{x/4} y\right)' = 3e^{x/4} + 2 e^{x/4} \cos(2x)\)

Integrate both sides. (Integrate by parts twice on the right side; I'll omit the details.)

\(e^{x/4} y = 12 e^{x/4} + \dfrac8{65} e^{x/4} (8\sin(2x) + \cos(2x)) + C\)

Solve for \(y\).

\(y = 12 + \dfrac8{65} (\sin(2x) + \cos(2x)) + Ce^{-x/4}\)

Given that \(y(0)=0\), we find

\(0 = 12 + \dfrac8{65} (\sin(0) + \cos(0)) + Ce^0 \implies C = -\dfrac{788}{65}\)

and the particular solution to the initial value problem is

\(\boxed{y = 12 + \dfrac8{65} (\sin(2x) + \cos(2x)) - \dfrac{788}{65} e^{-x/4}}\)

As \(x\) gets large, the exponential term will converge to 0. We have

\(\sin(2x) + \cos(2x) = \sqrt2 \sin\left(2x + \dfrac\pi4\right)\)

which means the trigonometric terms will oscillate between \(\pm\sqrt2\). So overall, the solution will oscillate between \(12\pm\sqrt2\) for large \(x\).

(b) We want the smallest \(x\) such that \(y=12\), i.e.

\(0 = \dfrac8{65} (\sin(2x) + \cos(2x)) - \dfrac{788}{65} e^{-x/4}\)

\(\dfrac{788}{65} e^{-x/4} = \dfrac{8\sqrt2}{65} \sin\left(2x + \dfrac\pi4\right)\)

\(\dfrac{197}{\sqrt2} e^{-x/4} = \sin\left(2x + \dfrac\pi4\right)\)

Using a calculator, the smallest solution seems to be around \(\boxed{x\approx21.909}\)

Answer

The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).

Answer: A

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

-x*-y=z

(a) Plan B, 8

(b) 250, Plan A

Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

Step-by-step explanation:

I am not sure that you typed it all correctly.

but based on what is written here

f(x) = x²

g(x) = sqrt(x) + 2

so, g(f(2)) + f(1) = g(2²) + 1² = g(4) + 1 = sqrt(4) + 2 + 1 =

= 2 + 2 + 1 = 5

Answer:

actual length of the second wall is 43.2 ft

Step-by-step explanation:

Let x be the actual length of the second wall

Write measurements in ratios with feet to inches:

First wall:      12 : 2.5 = 12/2.5

Second wall:      x : 9 = x/9

Equate the two fractions and solve for x:

12/2.5 = x/9

Multiply both sides by 9:  43.2 = x

Therefore, the actual length of the second wall is 43.2 ft

Answer:

(A) - \(f(g(x))=-18x^2+27x-19\)

(B) - Quadratic

(C) - x=3/4

Step-by-step explanation:

Given:

\(f(x)=-2x^2+x-9\\\\g(x)=3x-2\)

Find:

(A) -\(f(g(x))= \ ??\)

(B) - Determine if f(g(x)) is linear or quadratic

(C) - Identify the slope or axis of symmetry

\(\hrulefill\)

Part (A) -

Simply plug the function g(x) into f(x) to find f(g(x)):

\(f(g(x))=-2(3x-2)^2+(3x-2)-9\)

Simplifying:

\(\therefore \boxed{f(g(x))=-18x^2+27x-19}\)

Thus, part (A) is solved.

Part (B) -

To determine if a function is linear or quadratic, you need to examine its form and characteristics. Here are some key differences between linear and quadratic functions:

Linear Function:

Quadratic Function:

Using the information above we can determine f(g(x)) is quadratic.

Part (C) -

The axis of symmetry of a quadratic function can be found by using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in standard form. The resulting x-coordinate represents the vertical line that divides the parabola into two equal halves.

\(\text{In our case}: \ a=-18 \ \text{and} \ b=27\\\\\\\Longrightarrow x=\dfrac{-27}{2(-18)} \\\\\\\therefore \boxed{x=\frac{3}{4} }\)

Thus, part (C) is solved.

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

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Answer:

It increased by 4 degrees. It from -4 up to 0.

Step-by-step explanation:

Answer: second quadrant

Step-by-step explanation:

Answer:

I think it's either A or E sorry if I'm wrong

Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:

The Central Limit Theorem states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem:

Hence, the mean and standard error are given by:

\(\mu = p = 0.38\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076\)

Also approximately normal, hence, option A is correct.

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The simplification of the complex fraction is found as 11/14.

For the given question, the expression is-

-2/7  +  1 1/3​

To convert mixed fraction 1 1/3​ i improper fraction, multiply 3 with 1 and add 1.

1 1/3​  = 1 x 3 + 1 /3

1 1/3​  = 4/3 Put in main equation.

-2/7  +  4/3

Simplify the expression.

= -2 x 3 + 4 x 7/ (7 x 4)

= -6 + 28 / 28

= 22/28

Divide both with 2

= 11/14

Thus, the simplification of the complex fraction is found as 11/14.

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The correct question is

Simplify the complex fraction.  

-2/7 + 1 1/3​

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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