Here is an equation: 2x+3y+4=10.

a) Show that this is the equation of a straight line with a gradient of -2/3.

b) Work out the y-intercept

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The number is x, then:

The number is 3

Answer:

Step-by-step explanation: so

l*w*h
7.5ft*4ft*8ft

that would be 240ft^3

Then 2.5^3

would be 15.625^3

So then u would do

240ft^3/15.625ft^3 = 15.36 boxes of paper

So u could fit abt 15 boxes of paper in the back of his truck

False. The student t distribution may be used to construct a confidence interval for the mean of a population that is normally distributed, so long as the sample size is small.

The student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small. The student t distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. The student t distribution is also used to construct confidence intervals for the population mean.

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The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.

Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).

First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).

Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).

Now, we substitute these derivatives back into the product rule formula:

g'(x) = f'(x) * h(x) + f(x) * h'(x)

       = 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).

In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹  * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

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Answer:

x=40

y=− 17 /6

Step-by-step explanation:

We'll be using the Pythagoras property to solve this question.

According to the Pythagoras property,

H denotes hypotenuse

B denotes base

P denotes perpendicular

Here,

→ (x)² = (35 cm)² + (12 cm)²

→ x² = 1225 cm² + 144 cm²

→ x² = 1369 cm²

→ x = √(1369 cm²)

→ x = 37 cm

Therefore, value of x is 37 cm.

Answer:

23/50

Step-by-step explanation:

46% is the same as 46/100 that can be simplified to 23/50

The percentage 46% as a fraction in its simplest form is 23/50.

The given fraction is 46%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The percentage can be written in fraction by dividing the number by 100.

Here, 46% = 46/100

= 23/50

Therefore, the percentage 46% as a fraction in its simplest form is 23/50.

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Answer:

$43,264

Step-by-step explanation:

Given :

% Commission earned per week = 13%

Worth of stock sold last week = 6400

If same amount is averaged each week during 2011 ;

Number of weeks per year = 52

Worth of stock for the year = (6400 * 52) = $332,800

Average Commission for the year = 13% of 332,800

0.13 * 332,800

= $43,264

Answer:

3

Step-by-step explanation:

10x + 2 = 32 minus 2

10x = 30 divided bt 10 on each side

x = 3

Answer:

x=3

Step-by-step explanation:

10x+2=32

subtract 2 from each side

10x=30

divide both by 10

x=3

Answer:

6 meters

Step-by-step explanation:

72/12=6

Answer:

Steve was walking an average speed of 1.75 miles per hour

Step-by-step explanation:

steeve was walking .75 miles per hour because we know steeve walked 7/8 mile in half an hour so if he walked for another half of a hour he should have walked 14/8 mile which is = to 1 and 6/8 = 1.75 miles

Answer:

9.868

+

6.329

_____

16.197

Step-by-step explanation:

Answer:

I think it's A (parallel)

Answer:

A. its parallel

Step-by-step explanation:

all angles are equal... two sides are perpendicular and two are parallel

The calculated value of the expression (a + b)⁻¹ * (a⁻¹ + b⁻¹) is 1/ab

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

(a + b)⁻¹ * (a⁻¹ + b⁻¹)

The law of exponent of indices states that

The equivalent of an expression x⁻ⁿ is 1/xⁿ

So, we have

(a + b)⁻¹ * (a⁻¹ + b⁻¹) = 1/(a + b) * (1/a + 1/b)

Evaluate the sum of the reciprocals

(a + b)⁻¹ * (a⁻¹ + b⁻¹) = 1/(a + b) * ([a + b]/[ab])

Cancel out the common factors

(a + b)⁻¹ * (a⁻¹ + b⁻¹) = 1/ab

Hence, the value of the expression is 1/ab

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Answer:

The ship captain needs to turn through an angle of approximately 134.47 degrees to head straight for island B.

Step-by-step explanation:

We can start by drawing a diagram of the situation:

Here, A and B are the two islands, and C is the point where the ship captain realizes he is off course. We want to find the angle ACB, which is the angle the ship captain needs to turn through to head straight for island B.

To find this angle, we can use the law of cosines, which states that:

c^2 = a^2 + b^2 - 2ab cos(C)

where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

In our case, we know that a = 250, b = 160, and c = 150. So we can plug these values into the formula and solve for cos(C):

150^2 = 250^2 + 160^2 - 2250160*cos(C)

Simplifying this equation, we get:

cos(C) = (250^2 + 160^2 - 150^2) / (2250160) = 0.6875

To find the angle C, we can take the inverse cosine (also known as the arccosine) of this value:

C = arccos(0.6875) = 45.53 degrees (rounded to two decimal places)

Finally, to find the angle ACB, we can subtract this angle from 180 degrees:

ACB = 180 - C = 134.47 degrees (rounded to two decimal places)

Therefore, the ship captain needs to turn through an angle of approximately 134.47 degrees to head straight for island B.

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Answer:

∠ R = 30°

Step-by-step explanation:

The secant- secant angle R is half the difference of its intercepted arcs, so

∠ R = \(\frac{1}{2}\) (103 - 43)° = \(\frac{1}{2}\) × 60° = 30°

Let \(p\) and \(q\) be two numbers, such that

\(10000 < 210p < 11000, \quad 10000 < 210q < 11000\)

If \(p\) and \(q\) have no common factors, the greatest common factor between \(210p\) and \(210 q\) is obviously 210.

If we divide the inequalities above by 210, we see that

\(\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}\)

And rounding to the nearest integer, we deduce that \(p\) and \(q\) must be between 48 and 52.

We may pick \(p=49\) and \(q=50\), because they have no common factors. So, our numbers would be

\(210\cdot 49=10290,\quad 210\cdot 50=10500\)

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

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Answer:

Congruent Triangles

LL Theorem: If the legs of one right triangle are congruent to the Geometry Notes .

Step-by-step explanation:

In mathematics, "LL" is not a standard or commonly used abbreviation with a specific mathematical meaning.

It does not represent a known mathematical concept, operation, or symbol. It is important to note that mathematical notation and terminology can vary depending on the context and field of mathematics being discussed. Therefore, without additional context or specific usage, it is difficult to assign a meaning to "LL" in math. It is always recommended to provide further details or context to ensure a precise and accurate explanation within the mathematical framework.

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Circle Area = pi × ( radius )^2

_________________________________

pi = 3.14

..&..

radius = diameter / 2 = 24 / 2 = 12

Thus :

Area = 3.14 × ( 12 )^2

Area = 3.14 × 144

Area = 452.16 cm^2

Answer:

Hey Love! Answer: 452.16

Step-by-step explanation:

When trying to determine area of a circle remember the formula is just pi multiplied by the radius squared

Thats just a fancy way of saying the radius x the radius x pi but REMEMBER since we dont have the radius in this problem we have to figure it out but remember that the radius is only half the diameter so our diameter is 24cm now lets divide that by 2 and we get 12cm now lets multiply that by itself so radius x radius which our radius is 12 so 12 x 12 = 144 now all we have to do is multiply that by pi so

3.14 × 144 = 452.16

HOPE THIS HELPS!

Answer:

  add the values of the symbols or symbol pairs

Step-by-step explanation:

You want to know how to convert Roman Numerals to decimal numbers.

The symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.

A number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)

Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:

  1950 = MLM = MCML

As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.

We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.

__

Additional comment

Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.

The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.

There is no zero. There are no negative numbers.

The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.

Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

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Answer:

Rs. 924000.

Step-by-step explanation:

Cost of  house = 765000

Additional money spent on it = 115000

Total cost incurred by Ravi = 765000 + 115000 = 880000

Gain  = 5% of total cost

gain in Rs = 5/100 * 880000 = Rs. 44000

Total selling price of house = total cost incurred + profit = 880000+ 44000

Total selling price of house = Rs. 924000

Thus, Ravi got  Rs. 924000.

(a) To find the upward-pointing unit normal vector at (2,2,1), we need to compute the gradient of the quadratic surface given by 4x² - y² - 2z² = 10.

The gradient is given by:
∇f = <∂f/∂x, ∂f/∂y, ∂f/∂z>
∇f = <8x, -2y, -4z>

At point (2,2,1), the gradient is:
∇f(2,2,1) = <16, -4, -4>

To find the upward-pointing unit normal, we normalize this vector and ensure the z-component is positive:
Unit normal = <16, -4, -4> / |<16, -4, -4>| = <16/18, -4/18, -4/18> = <8/9, -2/9, -2/9>

(b) To find the equation of the tangent plane P at (2,2,1), use the point-normal form of a plane equation:
P: (x - x₀, y - y₀, z - z₀) · <8/9, -2/9, -2/9> = 0
Substitute the point (2,2,1):
P: (x - 2, y - 2, z - 1) · <8/9, -2/9, -2/9> = 0

Expanding this equation, we get:
P: 8(x-2)/9 - 2(y-2)/9 - 2(z-1)/9 = 0

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

slope = -2/3

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1.2 * 10 (9) You need to move it 9 places to the left

The equation for generating x, given the random number r, in the context of the function f(x) = x/3, is X = 3r.

To generate a value of x using a random number r, you can multiply the random number by 3. This is because the function f(x) = x/3 gives the relationship between x and its corresponding value in the function. In this case, x can be obtained by multiplying r by 3. The function f(x) = x/3 describes the relationship between x and its corresponding output value. In this case, it indicates that the value of x is divided by 3 to obtain the output value.

To generate x using a random number r, we need to reverse this process. Instead of dividing x by 3, we need to multiply a given random number r by 3 to obtain x. This is because we are undoing the division operation performed in the original function. Therefore, the correct equation for generating x, given the random number r, is X = 3r. By multiplying the random number r by 3, we obtain the corresponding value of x that satisfies the function f(x) = x/3.

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