What is the equation of the line that passes through the point (–2,7) and has a slope of zero?

Answer:

$6.10 + p

Step-by-step explanation:

Given that:

p = price in $ per pound of cherries

ELENA:

Amount spent = 8.55 + 3p

TANIY:

Amount spent = 2.45 + 2p

How much more Elena spent :

Amount spent by Elena - Amount spent by Taniy

(8.55 + 3p) - (2.45 + 2p)

8.55 + 3p - 2.45 - 2p

8.55 - 2.45 + 3p - 2p

6.10 + p

$6.10 + p

Answer:

4y

Step-by-step explanation:

The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X  

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths so on...

Given the statement as“the number with the units digit equal to x and the tens digit three more than the ones digit”

We need to convert the statement into the algebraic expression.

We know that unit digit number = X × 1

Then Tens digit number = (3 + X ) 10

Thus, the number = 30 + 10X + X

Hence, the Number = 30 + 11 X  

The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X  

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Answer:

$2

Step-by-step explanation:

It says per year so what every 10% of $20 is that will be the answer.

Answer:

wowwowowowowowowwowowowwowowow

Answer:

The equation f(x) = x represents a straight line passing through the origin with slope 1.

The equation h(x) = f(x) means that we are taking the values of f(x) and using them as the values of h(x). In other words, we are transforming the graph of f(x) without changing its shape. This transformation is simply a vertical translation, where we shift the graph of f(x) up or down by a certain amount.

Since f(x) = x passes through the origin, the transformation h(x) = f(x) will not change the x-intercept of the graph. However, it will shift the entire graph up or down, depending on the value of the constant added to f(x).

Therefore, the transformation h(x) = f(x) represents a vertical translation of the graph of f(x), without changing its shape. The amount of the translation depends on the constant added to f(x), which is not specified in the given equation.

Answer:

256 is the answer

Step-by-step explanation:

4×4×4×4=256.

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.

A cuboid is a three dimensional figure with six rectangular faces .

The  volume of the cuboid is given by

V = length * breadth * height

It is given in the question that

a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick , this will be in the shape of a cuboid

The volume of cement required = 8 * 4 * 0.25

= 8 cu.ft

The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.

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Answer:

he saved $25

Step-by-step explanation:

The answer is 25 because 15 multiplied by 5 is 75 and 5 multiplied by 5 is 25.

Answer:

3 and - 10

Step-by-step explanation:

(a)

when x = 0 in the interval x ≤ 0 then y = \(\frac{3}{2}\) x + 3 , so

y = \(\frac{3}{2}\) (0) + 3 = 0 + 3 = 3

when x = 0, the value of the function is 3

(b)

when x = 5 in the interval x > 0 then y = - 2x , so

y = - 2(5) = - 10

when x = 5 the value of the function is - 10

Answer: a. when x=0, the value of the function is 3

              b. when x=5, the value of the function is -10

Step-by-step explanation:

\(\displaystyle\\y=\left \{ {{\frac{3}{2}x+3,\ if\ x\leq 0 } \atop {-2x,\ if\ x > 0}} \right.\)

\(\displaystyle\\x=0\\\\Hence,\\\\y=\frac{3}{2} (0)+3\\\\y=0+3\\\\y=3\)

\(x=5\\\\Hence,\\\\y=-2(5)\\\\y=-10\)

Answer:

(-8).2/3

-16/3

thank for extra points

Answer:

-2 i think

Step-by-step explanation:

Answer:

letters A and D

Therefore , the solution of the given problem of unitary method comes out to be the likelihood of choosing a student who is 15 is 0.2 or 20%.

The task may be completed using this well-known simplicity, extant variables, and any essential components from the first Diocesan customised query. As a result, you might get another opportunity for employing the item. If not, significant  event effects in algorithmic knowledge will disappear.

Here,

There are 30 students in the sample as a whole. Six of them had a minimum age of fifteen.

You may determine the relative frequency of choosing a 15-year-old student by dividing the sample's total number of students by the proportion of 15-year-olds:

=> Relative frequency of students aged 15 = (Number of students aged 15) / (Total number of students)

Thus, the likelihood of choosing a student who is 15 is as follows:

=> 6 / 30 = 0.2

As a result, the likelihood of choosing a student who is 15 is 0.2 or 20%.

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Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first step is to subtract the 2 over to the 5

Step-by-step explanation:

you subtract from each side of the equation.

Therefore, the probability that the sample mean cholesterol level is less than 190 is approximately 0.23%.

We can use the central limit theorem to approximate the distribution of the sample mean cholesterol level as normal with a mean of 202 and a standard deviation of 41/sqrt(100) = 4.1.

To find the probability that the sample mean cholesterol level is less than 190, we can standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values, we get:

z = (190 - 202) / (4.1) = -2.93

Now we can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.93. The probability is approximately 0.0023 or 0.23%.

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Answer:

The value of j = -5

Step-by-step explanation:

Given the points of the line

Slope m = -1

To determine the value of j, we need to use the slope formula

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Here:

Now, substitute (x₁, y₁) = (j, -9)  and (x₂, y₂) = (-10, -4) in the formula

\(m=\frac{-4-\left(-9\right)}{-10-j}\)

We are already given m = -1. Therefore, we need to substitute m = -1 in the formula and solve for j

\(-1=\frac{-4-\left(-9\right)}{-10-j}\)

Multiply both sides by -10 -  j

\(-1\cdot \left(-10-j\right)=\frac{5}{-10-j}\left(-10-j\right)\)

Simplify

\(-\left(-10-j\right)=5\)

Divide both sides by -1

\(\frac{-\left(-10-j\right)}{-1}=\frac{5}{-1}\)

Simplify

\(-10-j=-5\)

Add 10 to both sides

\(-10-j+10=-5+10\)

Simplify

\(-j=5\)

Divide both sides by -1

\(\frac{-j}{-1}=\frac{5}{-1}\)

Simplify

\(j=-5\)

Therefore, the value of j = -5

Verification:

As the value of j = -5

Now we have the points

Now, we need to check whether the slope between the points (-5, -9) and (-10, -4) is -1 or not.

Let us determine the slope between the points (-5, -9) and (-10, -4)

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Here:

Now, substitute (x₁, y₁) = (-5, -9)  and (x₂, y₂) = (-10, -4) in the formula

\(m=\frac{-4-\left(-9\right)}{-10-\left(-5\right)}\)

\(m=\frac{-4+9}{-10+5}\)

\(m=\frac{5}{-5}\)

Apply fraction rule:  \(\frac{a}{-b}=-\frac{a}{b}\)

\(m=-\frac{5}{5}\)

\(m=-1\)

Therefore, we verified that the slope of the line containing the points (-5, -9) and (-10, -4) is indeed m = -1.

Karan plans to construct an obtuse angled triangle ΔXYZ, and Riya plans to construct a right angled triangle ΔLMN.

The given information:

Karan plans to construct an obtuse angled triangle ΔXYZ with ∠Y = 85° and ∠Z = 115°.

Riya plans to construct a right angled triangle ΔLMN with ∠L = 60° and ∠M = 90°.

We can make the following observations:

The sum of angles in a triangle is always 180°.

The measure of the third angle in each triangle as follows:

ΔXYZ:

∠X = 180° - ∠Y - ∠Z

= 180° - 85° - 115°

= 40°

ΔLMN:

∠N = 180° - ∠L - ∠M

= 180° - 60° - 90°

= 30°

In an obtuse angled triangle one angle is greater than 90°.

In ΔXYZ, ∠Z = 115° is greater than 90° so it is indeed an obtuse angled triangle.

In a right angled triangle one angle is exactly 90°.

In ΔLMN, ∠M = 90° is the right angle so it is indeed a right angled triangle.

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HP's pricing strategy allows them to capture a larger customer base, create customer loyalty and long-term profitability.

HP uses the 'razor' and 'blade' model. Here, Laser printer is sold at a lower price while the consumables (printer cartridges) are sold at higher profit margins. This strategy aims to create a recurring revenue stream from the sales of consumables, which have higher profit margins compared to the initial printer sale.

By relying on the sales of consumables, HP diversifies its revenue streams. While printer sales may have lower profit margins, the higher profit margins from consumables help offset those costs and contribute to overall profitability. This reduces HP's reliance on a single revenue source and improves financial stability.

Therefore , HP is leaning towards a scheme which aims at long-term profitability.

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The exponential function y = \(3^x\) grows at a faster rate than the quadratic function for x > 0.

The exponential function that grows at a faster rate than the quadratic function for x > 0 is y = \(3^x\).

To see why, let's first look at the rate of change of the quadratic function.

We can find this by looking at the differences between consecutive y-values:
1 - 0 &= 1
3 - 1 &= 2
12 - 3 &= 9
27 - 12 &= 15
$$We can see that the rate of change is increasing as x increases.

For example, the rate of change between the first two points is 1, while the rate of change between the last two points is 15.

However, this rate of change is still constant within each interval of x-values.

y = \(3^x \\\)  

Let's take a look at its y-values for the same x-values as in the table:
\(3^0\) &= 1

\(3^1\) &= 3
\(3^2\) &= 9
\(3^3\) &= 27
$$We can see that the rate of change is not constant, but rather increasing, just like in the quadratic function.

However, the rate of change is greater for y = \(3^x\).

For example, the rate of change between the first two points is 2, while the rate of change between the last two points is 18.

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Rounding the 14th partial sum to the thousandths place, we get A. 1333.252. Therefore, the correct answer is A. 1,333.252.

To find the 14th partial sum of the given series, we need to evaluate the sum of the first 14 terms.

The series alternates between adding and subtracting values, starting with 2000 as the first term, and each subsequent term being half of the previous term.

Let's break down the series:

Term 1: 2000

Term 2: -1000

Term 3: 500

Term 4: -250

We can see that each term alternates signs, and the magnitude of each term is halved compared to the previous term.

To find the 14th partial sum, we can start by calculating the sum of the first few terms to identify a pattern:

First term: 2000

Second term: 2000 - 1000 = 1000

Third term: 1000 + 500 = 1500

Fourth term: 1500 - 250 = 1250

Fifth term: 1250 + 125 = 1375

Sixth term: 1375 - 62.5 = 1312.5

We observe that the magnitude of the terms is converging towards a value, but the alternating signs continue.

To find the 14th partial sum, we can continue this pattern until the 14th term:

Term 7: 1312.5 + 31.25 = 1343.75

Term 8: 1343.75 - 15.625 = 1328.125

Term 9: 1328.125 + 7.8125 = 1335.9375

Term 10: 1335.9375 - 3.90625 = 1332.03125

Term 11: 1332.03125 + 1.953125 = 1333.984375

Term 12: 1333.984375 - 0.9765625 = 1333.0078125

Term 13: 1333.0078125 + 0.48828125 = 1333.49609375

Term 14: 1333.49609375 - 0.244140625 = 1333.251953125

Rounding the 14th partial sum to the thousandths place, we get 1333.252.

Therefore, the correct answer is A. 1,333.252.

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Answer:

9

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

Two tenths plus unknown fraction equals sixty seven hundredths. The unknown fraction is 0.47.

Let's represent the unknown fraction as x. Then, we can translate the given statement into an equation:

0.2 + x = 0.67

To solve for x, we can isolate it on one side of the equation by subtracting 0.2 from both sides:

x = 0.67 - 0.2

x = 0.47

Therefore, the unknown fraction is 0.47.

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If the equilibrium constant (K) < 1 , then, the Gibbs free energy change(ΔG) is positive. So, option D is correct alternative.

The relative concentrations of reactants and products in a chemical reaction are gauged by the equilibrium constant (K), which is the case in this case. Typical chemical reactions are as follows:

aA + bB ⇌ cC + dD

The equilibrium constant is defined as:

\(K = \frac{[C]^c[D]^d }{ [A]^a[B]^b}\)

Where [A], [B], [C], and [D] are the molar concentrations of reactants and products at equilibrium, and a, b, c, and d are the stoichiometric coefficients of the balanced chemical equation.

The Gibbs free energy change (ΔG) is a measure of the amount of energy available to do useful work during a chemical reaction.

The following equation describes the relationship between the equilibrium constant (K) and the change in the Gibbs free energy (ΔG):

ΔG = -RTln(K)

Where R is the gas constant and T is the temperature.

If K < 1, then ln(K) is negative. So, to make the right-hand side of the equation negative, ΔG must be positive.

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