Please help me with these questions if can explain i am a bit confused at it

Answer:

[tex]w=\frac{s-2lh}{2(h+l)}[/tex]

Step-by-step explanation:

Given the equation, [tex]S=2(lw+lh+wh)[/tex], solve for w.

[tex]S=2(lw+lh+wh)[/tex], distribute the 2.

=> [tex]S=2lw+2lh+2wh[/tex], subtract [tex]2lh[/tex] from both sides.

=> [tex]S-2lh=2lw+2wh[/tex], factor out a [tex]w[/tex] from the right-hand-side.

=> [tex]S-2lh=w(2l+2h)[/tex], now divide [tex](2l+2h)[/tex] from each side.

=>[tex]\frac{S-2lh}{2l+2h}=w[/tex]

Final answer: [tex]w=\frac{s-2lh}{2(h+l)}[/tex]

Answer: To calculate the sample mean of a distribution, you add up all the values and divide by the number of values in the sample. The sample mean is also known as the average.

The formula for the sample mean is:

X-bar = (X1 + X2 + ... + Xn) / n

To calculate the sample variance of a distribution, you first need to calculate the sample mean. Then, for each value, you subtract the sample mean and square the result. You add up all these squared differences, and divide the sum by the number of values in the sample.

The formula for the sample variance is:

s^2 = ( (X1 - X-bar)^2 + (X2 - X-bar)^2 + ... + (Xn - X-bar)^2 ) / (n - 1)

It would be helpful to have the sample data, however I cannot complete this task without it.

Please provide me with the data.

Step-by-step explanation:

In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.

The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.

as base/hypotenuse = cos x

and sin x = hypotenuse/perpendicular

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Answer:

d. [tex]90^{\circ}[/tex]

Step-by-step explanation:

This is the definition of perpendicularity.

The equation of the trend line will be : Y = (1/4)x - 1.

Given is a scatter plot a shown in the image.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

We can find the slope as follows. The line passes through the points -

(4, 0) and (0, - 1). We can write -

m = (- 1 - 0)/(0 - 4)

m = - 1/-4

m = 1/4

and

[c] = - 1

So the equation of the trend line will be -

Y = (1/4)x - 1

Therefore, the equation of the trend line will be : Y = (1/4)x - 1.

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In order to find the length of v in ΔUVW, we can use the Law of Sines.

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all sides and angles in the triangle. This can be expressed as:

a/sin A = b/sin B = c/sin C

Where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the angles opposite those sides.

In ΔUVW, we are given the lengths of two sides (w and v) and the measure of the angles opposite those sides (m∠W and m∠U). We can use the Law of Sines to find the length of v:

v/sin U = w/sin W

v = (w/sin W) * sin U

Substituting the given values, we get:

v = (1.4 cm / sin 63°) * sin 29°

Using a calculator, we find that v = 2.72 cm to the nearest hundredth of a centimeter. Rounding to the nearest 10th of a centimeter, we get v = 2.7 cm.

Therefore, the length of v in ΔUVW is approximately 2.7 cm to the nearest 10th of a centimeter.

Answer:

x = 14

Step-by-step explanation:

2(x + 4) = 3( -2 + x)  distribute the 2 and the 3.

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

2x + 8 = -6 + 3x  Subtract 2x from both sides

2x - 2x + 8 = -6 +3x -2x

8 = -6 +x  Add 6 to both sides

8 + 6 = 6 - 6 + x

14 = x

The total number of times social media browsers have been showed your content.

A general, but simplified earned media value formula is: EMV = impressions x cost per 1000 impressions x adjustable variable. The adjustable variable can be anything you are looking to track like engagement or impressions.

Simplifying

22 = 2(x + 8)

Reorder the terms:

22 = 2(8 + x)

22 = (8 * 2 + x * 2)

22 = (16 + 2x)

Solving

22 = 16 + 2x

Solving for variable ‘x’.

Move all terms containing x to the left, all other terms to the right.

Add ‘-2x’ to each side of the equation.

22 + -2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0

22 + -2x = 16 + 0

22 + -2x = 16

Add ‘-22’ to each side of the equation.

22 + -22 + -2x = 16 + -22

Combine like terms: 22 + -22 = 0

0 + -2x = 16 + -22

-2x = 16 + -22

Combine like terms: 16 + -22 = -6

-2x = -6

Divide each side by ‘-2’.

X = 3

Simplifying

X = 3

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Each quantity represents in the situation are y is  overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.

The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the

initial value, rate of change

The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100

y - 75 = 10(x - 5) (x - 5)

4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5

If you start with $25 and can make $10 every day, money do you have after x days are

y = overall financial time (day).

10 times the daily wage earned.

25 times the money's initial worth.

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Since matching angles are formed and the equal corners are congruent when a line joins two parallel lines, one of the choices isc=d.

Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.

Here,

Given :  vertical angles, A = d also represents a solution.

B+d=180 as a result of b+c=180 therefore

B+d=180 as a result of b+c=180 therefore Since a=d, c=d, and b+d=180, the answer is B,C,E.

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Answer: The origins of matrices can be traced back to the 18th century, with the work of mathematicians such as Gabriel Cramer, Leonhard Euler, and Joseph-Louis Lagrange. These mathematicians developed the idea of using arrays of numbers to represent systems of linear equations, which led to the development of the concept of matrices.

The term "matrix" itself was first used by James Joseph Sylvester in 1850, although it had been in use informally for some time before then. In 1858, the English mathematician Arthur Cayley first published a systematic theory of matrices, which further developed the field.

Matrix theory was primarily used in the early days to solve systems of linear equations, but it soon found applications in areas such as linear algebra, multivariate statistics, and even quantum mechanics.

In summary, the origins of matrices can be traced back to the 18th century as an idea to represent systems of linear equations, which developed over time with contributions of many mathematicians over the centuries, and now it plays an important role in many field of mathematics and science.

Step-by-step explanation:

The area of the trapezoid is 1.5x² + 2x. If the height is increased by 4 feet, the new area would be 1.5x² + 8x

An equation is an expression that shows the relationship between two or more numbers.

Let x represent the height of the trapezoid.

a) One base of trapezoid measures five feet greater than its height. Hence:

First base = x + 5

The other base is one foot less than twice its height, hence:

Second base = 2x - 1

Area = (1/2)(sum of bases) * height = (1/2)(x + 5 + 2x - 1)(x) = 1.5x² + 2x

b) The height is increased by 4 feet. New height = x + 4

First base = (x + 4) + 5 = x + 9

Second base = 2(x + 4) - 1 = 2x + 7

Area = (1/2)(sum of bases) * height = (1/2)(x + 9 + 2x + 7)(x) = 1.5x² + 8x

The area of the trapezoid is 1.5x² + 2x.

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The maturity value of the loan based on the calculation is $1227.72

From the information, single payment loan for $1200 repay in 120days interest rate is 7% and we want to calculate the maturity value of the loan.

It should be noted that the interest will be calculated as:

= Principal × Rate × Time

= 1200 × 7% × (120/360)

= 1200 × 0.07 × 0.33

= $27.72

Maturity amount = $1200 + $27.72

Maturity amount = $1227.72.

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The angle of elevation from the person to the birds nest is 29^o.

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

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answer to this question is simple 7 4/9

Answer:

Step-by-step explanation:

read the data numbers

The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is

5×1, 5×2, 5×3, 5×4, 5×5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Find the first five multiples of the number.

Let, The number be 5.

Therefore, The first five multiples of 5 is,

5, 10, 15, 20, 25.

And, the multiple equation is,

5×1, 5×2, 5×3, 5×4, 5×5.

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Answer: 571.11111...(Fraction: 9/28)

Step-by-step explanation:

5,140÷9 = 571.11111...

Answer:

-3,950

Step-by-step explanation:

First -5,000(1-0.21)

Then multiply -5,000 x 0.79 = -3,950

The solutions to the equation 4(x² − 5) − 1 = 3 are ±√6

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

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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Answer:

(a)  13.9 blocks (nearest tenth)

(b)  32.9 blocks (nearest tenth)

Step-by-step explanation:

The given scenario can be modeled as a right triangle.

If Amy walks south 7 blocks, one leg of the triangle is 7.

If Amy then walks west 12 blocks, the other leg of the triangle is 12.

To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):

[tex]\implies 7^2+12^2=c^2[/tex]

[tex]\implies 49+144=c^2[/tex]

[tex]\implies 193=c^2[/tex]

[tex]\implies c=\sqrt{193}[/tex]

[tex]\implies c=13.8924439894...[/tex]

Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.

To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:

[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]

Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.

Answer:

the aswer is A  i did this

Step-by-step explanation

The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marginal cost of the company is 7000 - 2X  and marginal revenue is 10X - X/250.

Marginal cost is an extra cost per unit incurred when an extra unit of output produced or service rendered. Or in other words it can be said that marginal cost is an element of additional unit cost that incurred due to production of goods or services. Some time it is also considering as relevant cost or variable cost.

So in order to compute the transistor manufacturing company's marginal cost, marginal revenue and marginal profit of the company one shall equated the derivative function between them.

In micro economics technical relationship between the said marginal terms is written through derivative function:

Revenue = Price × Quantity Demanded,

Profit Maximize Point where Marginal cost is equal to marginal revenue;

MR = MC,

The marketing department also presents the following demand equation:

X = 5,000 - 500 P

P = 10 - (X ÷ 500), where P is Price and X is quantity demand.

Furthermore, the financial department provides the following cost equation:​

C(X) = 7, 000 + 2x

So the revenue function by the help of substitution method:

X = 5,000 - 500 P

Revenue = Price × Quantity Demanded,

Revenue =  10 - (X ÷ 500) × X

               =  10X - X^2 ÷ 500

Marginal Revenue! = 10X - !2X/500 = 10X - X/250

Marginal Cost =  7, 000 + 2 (5,000 - 500 P)

= 7000 + 10000 - 1000 P

= 17000 - 1000 ( 10 - (X ÷ 500))

= 17000 - 10000 - 2X

= 7000 - 2X

Therefore marginal revenue is revenue or additional earning made by a seller by selling an extra unit. Revenue is earned when extra unit is being sold.

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This system of equations have 2 real solution.

As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.

y = 3x + 1 is a solution to 3x - y + 1 = 0.

This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.

Two points where this line crosses the circle denote actual solutions.

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1. 60% of 330 would fill 6 of the boxes.

2. 45% of 600 would fill 4 and half of the boxes.

3. 42% of 450 is 189.

4.  79% of 800 is 632.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

1. The strip has 10 boxes and totals to 330.

Now, 60% of 330 would fill 6 out of those 10 boxes.

2. The strip has 10 boxes and totals to 600.

So, 45% of it would fill 4 and a half of the boxes.

3. 42% of 450 can be numerically expressed as,

(42/100)×450.

= 189.

Similarly, 4. 79% of 800 is,

(79/100)×800.

= 632.

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Answer:

It is a known fact that there are rectangular prisms with the same volume but different dimensions.

An area surrounding a measurement that indicates how accurate it is called a confidence interval.

Let X = The proportion of n randomly selected consumers who receive the discount. So, X = B(n, p), where p is the likelihood that a consumer will receive the discount.

Back-up Theory 100(1 - α) % Confidence Interval for the population proportion, p is:

p ± Zα/2[√{P(1 –p)/n}] ……(1)

where

Zα/2 is the upper (α/2)% point of N(0, 1),

pcap = sample proportion, and

n = sample size.

One can conclude with 100(1 - )% confidence that the population proportion, p, is p if a 100(1 - )% Confidence Interval for p holds a specific hypothesized value of p…………. (2)

Now to work out the solution,

The given confidence interval is: 0.12 ± 0.05 i.e., [0.07, 0.17] or [7%, 17%]……………………. (3)

for Part (a)

equation (2) and (3), [7%, 17%] holds 15%. Hence the statement is NOT valid.

for Part (b)

equation(2) and (3), [7%, 17%] holds 15%. Hence the statement is valid.

For Part (c)

Margin of error is: Zα/2[√{P(1 –P)/n}]

If the sample sizes under Part (c) and (a) are respectively, n2 and n1, the ratio of respective margin of errors would be

[Zα/2.√t{P(1 –P)/n2}]/[Zα/2√{P(1 –P)/n1}]

= √(n1/n2)

= 1/√6 [given the second sample size is 6 times the first sample size]

= 0.4082

= > the margin of error under Part (c) = the margin of error under Part (c) x 0.4082

= 0.05 x 0.4082

= 0.020.

Thus, the margin of error when the sample size if 6-fold is 0.020.

For Part (d)

The revised Confidence Interval from Part (c) is 0.12 ± 0.02 or [0.10, 0.14], which does not hold 0.15 as a result, according to (2), the program is NOT operating as anticipated.

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Answer:

1.8 meters

Step-by-step explanation:

Multiply 12 by 0.15 to get your answer. You multiply because the question says "15% of 12 meters" which means you need to multiply.

Answer: 1.8

Step-by-step explanation:

Multiply 12 by .15 (15% as a decimal), and you'll get 1.8 meters. You multiply, because it says 15% of 12 meters.

h(x) = f(x) + 5 represents a vertical shift of 5 units down from the graph of f(x) = 3x. The slope of the two lines is the same, but the y-intercept of h(x) is different from f(x).

A graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of a function. It is a way to visualize the behavior of the function and its relation to the x and y axes.

Here,

We can draw the graph as

h(x) = 3x - 5 can be written in terms of f(x) by adding 5 to the output of f(x)

h(x) = f(x) + 5

The transformation from the graph of f(x) to the graph of h(x) is a vertical shift of 5 units down. This is because the original function f(x) is shifted down by 5 units to get h(x). The slope of the two lines is still the same, 3, but the y-intercept of f(x) is (0,0) and the y-intercept of h(x) is (-5/3,0). The transformation causes the graph of h(x) to be shifted down 5 units along the y-axis, while the slope and x-intercept of the graph remain the same.

Hence, h(x) = f(x) + 5 represents a vertical shift of 5 units down from the graph of f(x) = 3x. The slope of the two lines is the same, but the y-intercept of h(x) is different from f(x).

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