A forensic scienetist uses the function G(f)=2. 57f+47. 29 and H9t)=2. 74t+61. 27 to find the height of the woman

Answer:

p=8

n=3

Step-by-step explanation:

let number of pennies=p

number of nickels=n

p+n=11

n=11-p

1*p+5*n=23

p+5(11-p)=23

p+55-5p=23

55-4p=23

4p=55-23=32

p=32/4=8

n=11-8=3

The expression to represent the p pages David has read is: p = 18 + (1/4)x, where x is the total number of pages in the book.

David has read 18 pages more than 1/4 pages of a book. The expression to represent the p pages that David has read would be: p = 18 + (1/4)x, where x is the total number of pages in the book. The reasoning behind this is as follows:

David has already read 18 pages more than 1/4 of the book, so we have to add 18 pages to whatever the pages of the book are. Since we don't know what the actual number of pages are, we'll call that x. Therefore, David read 1/4 of the book (or 1/4 of x) plus 18 pages.

Hence, the expression is: p = 18 + (1/4)x.

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The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer: $255

Step-by-step explanation:

A store advertises 15% off an item which sells for $300. The sale item will then be calculated as:

= $300 - (15% × $300)

= $300 - (0.15 × $300)

= $300 - $45

= $255

The sales price is $255.

A 15% discount is similar to a 15% decrease because in both cases, one has to subtract the value of 15% from the selling price.

Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €

Interés = Principal × Tasa de interés × Tiempo

Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:

Interés = 18,000 € × 0.08 × 5

Interés = 7,200 €

Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.

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Answer: 1/9

Step-by-step explanation:

You have 3 possible options. The probablility of the spinner landing on 3 is 1/3. The probability of it landing on 2 is also 1/3. For them to happen together, you multiply them. 1/3 * 1/3 = 1/9.

The probability of landing on a 3 and then landing on a 2 is,

⇒ 1/9

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

You spin the spinner twice.

Now, The probability of the spinner landing on 3 is,

⇒ 1/3.

And, The probability of it landing on 2 is,

⇒ 1/3.

Hence, The probability of landing on a 3 and then landing on a 2 is,

⇒ 1/3 × 1/3

⇒ 1/9.

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The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

As per the given,

Number of people who vote on their favorite fruit = 9

Number of people who vote for kiwi = 1

The fraction of person vote kiwi to vote on their favorite fruit = 1/9

In decimal form 1/9 =  0.1111111.

Hence "The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111".

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The value of surd expression x²+ xy + y² by means of simplification of surds is 3.

The solution to the surd  is derived as follows:

x = √3-√2 /√3+√2 and

y = √3+√2 /√3-√2

The value of x²+ xy + y² is calculated as follows:

x² = (√3-√2 /√3+√2)²

x² = 5 - 2√6 / 5 + 2√6

y² = (√3+√2 /√3-√2)²

y² =  5 + 2√6 / 5 - 2√6

xy = (√3-√2 /√3+√2) (√3+√2 /√3-√2)

xy = 1

x²+ xy + y² = (5 - 2√6 / 5 + 2√6) + (5 + 2√6 / 5 - 2√6) + 1

x²+ xy + y² = 147/49

x²+ xy + y² = 3

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The Solution:

Given the fractions below:

We are asked to find the sum of the above two fractions.

The Lowest Common Multiple (LCM) of 5 and 10 is 10

Thus, the correct answer is

Answer:

Rhombuses have…

The only way it could be a rhombus is if it is a square

Try to draw it out, if it is a square this is true

The equation of the line that passes through the point (3, 0) and has a slope of -3 is y = -3x + 9. This equation represents a line with a negative slope and a y-intercept at (0, 9).

To determine the equation of a line given a point and slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

In this case, the given point is (3, 0) and the slope is -3. Plugging these values into the point-slope form, we have y - 0 = -3(x - 3). Simplifying the equation, we get y = -3x + 9.

This equation represents a line with a negative slope of -3, indicating that the line slopes downward from left to right. The y-intercept of the line is 9, which means the line crosses the y-axis at (0, 9). Thus, the equation y = -3x + 9 represents the line passing through the point (3, 0) with a slope of -3.

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Answer:

Step-by-step explanation:

y=mx+c

7=2*-4+c

7=-8+c

7+8=c

15=c

The area of the region enclosed by the curves y = 6x^2 and y = x^2 + 1  is given by 0.572 units squared.

can be found by determining the points of intersection between the two curves and calculating the definite integral of the difference between the two functions over the interval of intersection.

To find the points of intersection, we set the two equations equal to each other: 6x^2 = x^2 + 1. Simplifying this equation, we get 5x^2 = 1, and solving for x, we find x = ±√(1/5).

Since the curves intersect at two points, we need to calculate the area between them. Taking the integral of the difference between the functions over the interval from -√(1/5) to √(1/5), we get:

∫[(6x^2) - (x^2 + 1)] dx = ∫(5x^2 - 1) dx

Integrating this expression, we obtain [(5/3)x^3 - x] evaluated from -√(1/5) to √(1/5). Evaluating these limits and subtracting the values, we find the area of the region enclosed by the curves to be approximately 0.572. Hence, the area is approximately 0.572 units squared.

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The distance from the Moon to the Earth varies due to the elliptical shape of the Moon's orbit around the Earth. On average, the distance from the Moon to the Earth is about 238,855 miles (384,400 kilometers).

However, the distance can vary from about 252,088 miles (405,696 kilometers) at the closest point (known as perigee) to about 225,623 miles (363,104 kilometers) at the farthest point (known as apogee).

The Moon orbits the Earth in an elliptical shape, rather than a perfect circle. This means that the distance between the Moon and the Earth varies over time. The average distance from the center of the Earth to the center of the Moon is approximately 238,855 miles (384,400 kilometers).

At its closest point, known as perigee, the Moon is about 252,088 miles (405,696 kilometers) from Earth. This occurs when the Moon is on the side of its orbit closest to the Earth. At its farthest point, known as apogee, the Moon is about 225,623 miles (363,104 kilometers) from Earth. This occurs when the Moon is on the side of its orbit farthest from the Earth.

The distance between the Moon and the Earth is important for many reasons, including determining the strength of the Moon's gravitational pull on Earth, the tides on Earth, and the possibility of future human exploration of the Moon.

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To find the indicated critical value, we need to use a Z-table. The Z-table provides the area under the standard normal curve for different Z-scores. The indicated critical value is 2.33.

In this case, we are looking for the critical value corresponding to an area of 0.01 in the tails of the standard normal distribution. Since this is a two-tailed test, we need to divide 0.01 by 2 to get the area for each tail.
0.01 / 2 = 0.005
Using the Z-table, we can find the Z-score that corresponds to an area of 0.005 in the right tail. This Z-score is the critical value we are looking for.
Based on the Z-table, the critical value corresponding to an area of 0.005 in the right tail is approximately 2.33 (rounded to two decimal places).
So, the indicated critical value is 2.33.

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Answer:

Obtuse

Step-by-step explanation:

because 121

The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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Answer:

What is 6 by the power of 2?

6 x 6

Step-by-step explanation:

You're welcome.

Answer:

The domain is equal to (x)=√x

(x)=x is x>0x>0

From the equation of the elipse, we have that:

The equation of an elipse of center \((x_0,y_0)\) has the following format:

\(\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1\)

If a > b, we have that:

In this problem, the equation is:

\(\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1\)

Thus \(x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}\)

For the major axis:

\(x = x_0 \pm a\)

\(x = 2 \pm 6\)

\(x = 2 - 6 = -4\)

\(x = 2 + 6 = 8\)

The endpoints of the major axis are: \(x = -4\) and \(x = 8\)

For the minor axis:

\(y = y_0 \pm b\)

\(y = -3 \pm \sqrt{24}\)

\(y = -3 - \sqrt{24}\)

\(y = -3 + \sqrt{24}\)

The endpoints of the minor axis are: \(y = -3 - \sqrt{24}\) and \(y = -3 + \sqrt{24}\).

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Answer:

joaobezerra is right its just a bit confusing to understand but here you go

Step-by-step explanation:

Answer:

z = -4

Step-by-step explanation:

Let's solve the problem,

→ 3(z - 1) - 1/2 (4z + 10) = 4 (z - 3/2) + 10

→ 3z - 3 - 2z - 5 = 4z - 6 + 10

→ z - 8 = 4z + 4

→ 4z - z = -4 - 8

→ 3z = -12

→ z = -12/3

→ [ z = -4 ]

Hence, the value of z is -4.

Answer:

Cost of of a pound of orange = $0.9

Step-by-step explanation:

Cost of a gallon of milk = $3.60

Cost of of a pound of orange = $x

Total spent on a gallon of milk and 5/6 of a pound of orange = $4.35

4.35 = 3.60 + 5/6x

4.35 - 3.60 = 5/6x

0.75 = 5/6x

x = 0.75 ÷ 5/6

= 0.75 × 6/5

= 4.5/5

= 0.9

x = $0.9

Cost of of a pound of orange = $0.9

Answer:

a

Step-by-step explanation:

edgen

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

Answer:

The answer is 12

Step-by-step explanation:

You see its because.

Answer:

?=12

Step-by-step explanation:

Using the Thalès's theorem:

\(\dfrac{6}{6+4}=\dfrac{?}{20} \\\\?*10=6*20\ (cross\ products)\\\\?=\dfrac{6*20}{10} \ dividing\ by\ 10\\\\?=12\)

Answer:

mabye P=h²-12h

Step-by-step explanation:

Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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The equation for the line that passes through the points (-6,-9) and (2,3) is y = 3x/2 - 6..

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At point (-6, -9), a linear equation of this line can be calculated in slope-intercept form as follows:

y + 9 = (3 + 9)/(2 + 6)(x + 6)

y = 12/8(x + 2) - 9

y = 3/2(x + 2) - 9

y = 3x/2 - 6.

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