Which expression of signed decimal numbers has a positive quotient?
O 2.5.-9.56
0 -1.7.-10.06
-0.3-9.44
-9.34-0.55

Answer:

Infinite Solutions

Step-by-step explanation:

If its the same line then any point is a viable answer

Step-by-step explanation:

2x² - 9x + 2 = -1

2x² - 9x + 3 = 0

D = b² - 4ac

D = (-9)² - 4.2.3

D = 81 - 24

D = 57

D > 0 , so there are two real roots

Option → C

_________

\( \: \)

2x² - 9x + 2 = -1

2x² - 9x + 2 + 1 = 0

2x² - 9x + 3 = 0

Soo :

D = b² - 4ac

D = (-9)² - 4(2)(3)

D = 81 - 4(6)

D = 81 - 24

D = 57

Option (C.)

Answer:

ok so first lets find halve of 96

96*1/2=53

then lets add these together

96+53=149

149

Hope This Helps!!!

Answer:

6ft tall

Step-by-step explanation:

10-4=6

Answer:

6 feet tall

Step-by-step explanation:

10-4=6 feet

Ethan is a tall beanstalk that measures 6 feet tall.

(That's actually pretty funny because one of my best friends is named Ethan and he is 6 feet tall)

The area of the swimming pool cover is approximately 159.27 square feet, rounded to the nearest hundredth.

To find the area of the swimming pool cover, we can calculate the area of the rectangle and the area of the semicircle separately.

Area of the rectangle:

The length of the rectangle is 12 feet and the width is 10 feet. The formula to calculate the area of a rectangle is:

Area_rectangle = length × width

Area_rectangle = 12 × 10

Area_rectangle = 120 square feet

Area of the semicircle:

The radius of the semicircle is half the distance between the parallel lines, which is 10/2 = 5 feet. The formula to calculate the area of a semicircle is:

Area_semicircle = (π × radius²) / 2

Area_semicircle = (π × 5²) / 2

Area_semicircle = (π × 25) / 2

Area_semicircle ≈ 39.27 square feet

The total area of the swimming pool cover:

To find the total area, we add the area of the rectangle and the area of the semicircle:

Total_area = Area_rectangle + Area_semicircle

Total_area = 120 + 39.27

Total_area ≈ 159.27 square feet

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Answer:

Step-by-step explanation:

In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

Answer:

4

Step-by-step explanation:

It is 6x^3 - 15x^2 - 2x - 5

Brainly pls have a nice day

Answer:

the answer is D !

hope this helps <3

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Answer:

1/6

Step-by-step explanation:

i took the test and my teacher explained this.

The probability of each outcome in the sample space = 1/2.

What is probability?

Probability is the chance of happening a situation or event.

Here, the probability to get a single gift card is 1/4.

A student can pick two cards, one at a time without any replacement.

Hence, the probability of the student to pick a second card is 1/3.

Hence, the probability of a student to pick two cards = 1/4 × 1/3 = 1/12.

Here, a student might select any of these combinations {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}.

Therefore, the probability of each outcome in the sample space = 1/12 × 6 = 1/2.

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In summary, the limits of the function f(x) are as follows: lim(x→2-) f(x) = 2, lim(x→2+) f(x) = 1, lim(x→∞) f(x) = ∞, lim(x→-∞) f(x) = -∞

To determine the limits of the function f(x) as x approaches certain values, we can plot the graph of the function and observe the behavior. Let's analyze the limits of f(x) as x approaches different values.

First, let's plot the graph of the function f(x):

For x ≤ 2, the graph of f(x) is a downward-opening parabola that passes through the points (2, 0) and (0, 10). The vertex of the parabola is located at x = 1, and the curve decreases as x moves further away from 1.

For x > 2, the graph of f(x) is a linear function with a positive slope of 2. The line intersects the y-axis at (0, -3) and increases as x moves further to the right.

Now, let's analyze the limits:

Limit as x approaches 2 from the left: lim(x→2-) f(x)

Approaching 2 from the left side, the function approaches the value of 10 - 2 - 2^2 = 2. So, lim(x→2-) f(x) = 2.

Limit as x approaches 2 from the right: lim(x→2+) f(x)

Approaching 2 from the right side, the function follows the linear segment 2x - 3. So, lim(x→2+) f(x) = 2(2) - 3 = 1.

Limit as x approaches positive infinity: lim(x→∞) f(x)

As x approaches positive infinity, the linear segment 2x - 3 dominates the function. Therefore, lim(x→∞) f(x) = ∞.

Limit as x approaches negative infinity: lim(x→-∞) f(x)

As x approaches negative infinity, the parabolic segment 10 - x - x^2 dominates the function. Therefore, lim(x→-∞) f(x) = -∞.

These limits are determined by observing the behavior of the function as x approaches different values and analyzing the graph of the function.

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Answer: The coordinates of D are (1,-12) .

Step-by-step explanation:

Given : Translation rule : (x, y) → (x + 6, y – 10)  is applied to figure ABCD.

From the figure below, we have figure ABCD in which

The coordinates of D = (-5,-2)

According to the given translation rule :

D(-5,-2) → D'(-5 + 6, -2 – 10)    (coordinates of image point D')

i.e. D(-5,-2) → D'(1, -12)    [-5+6 = 1, -2-10 = -12]

Hence, the coordinates of D are (1,-12) .

Answer:

B. (1, –12)

Step-by-step explanation:

edge2021

We will get  \(61/75\), when 6(1/6) is divided by 7(5/6)

The usually written symbol for division is (÷). The "/" (slash) symbol is used in spreadsheets and other computer applications.

Division is the opposite of multiplication in mathematics.

The division is often considered the most difficult of the four main arithmetic operations. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use the calculator for more complex calculations without making mistakes.

For example, consider how we would find the answer to \(10 / 2\) (ten divided by two). This is the same as "split" \(10\)sweets between \(2\) children. Both children must end up with the same number of candies. In this example, the answer is \(5\).

Hence when \(61/6\) is divided by \(75/6\) it means \((61/6)/(75/6)\)

in which \(6\) cancels the \(6\).

The final answer will be \(61/75\)

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Answer:

The sum of 3 1/4 and 6 3/4 is 10.

Step-by-step explanation:

To add the mixed numbers 3 1/4 and 6 3/4, you can first convert them to improper fractions:

3 1/4 = 13/4

6 3/4 = 27/4

Now you can add the numerators and keep the same denominator:

13/4 + 27/4 = 40/4 = 10

So the sum of 3 1/4 and 6 3/4 is 10.

Answer: 3 1/4 + 6 3/4 = 1/10 and 10

it right have a good day

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees

However we are only given 56 and 3x+7

Let 3x+7 be u

We know that 56+u=90 so solve for u

u=90-56

u = 34

Now u = 3x + 7 so,

3x + 7 = 34

solve for x,

3x=34-7

3x=27

x=27/3

x=9.

The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.

The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where (a, b, and c) are 1, 3, and -10

So, the solutions of the equation x^2 + 3x - 10 = 0 are:

x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)

x = (-3 ± √(9 + 40)) / 2

x = (-3 ± √49) / 2

x = (-3 ± 7) / 2

x = (4, -1)

Complete question:

Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?

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Answer:

(1) 3 to 11

Step-by-step explanation:

Ratio of pennies to nickels is 8 to 3.

Pennies : nickels = 8 : 3

Pennies = 8

Nickels = 3

Total coins = pennies + nickels

= 8 + 3

= 11

Which of the following is the ratio of nickels to the number of all the coins?

Nickels : Total coins = 3 : 11

Or

= 3 / 11

Or

3 to 11

The correct answer is (1) 3 to 11

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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Answer:

7

Step-by-step explanation:

43.96 divided by 3.14= 14 (diameter)

14 divided by 3= 7 (radius)

We know how many pounds are needed to cover 5000 ft^2, and we need to find how many are needed to cover 27000ft^2. To find this value, divide 27000 by 5000 and multiply the result by the weight.

27000/5000 x 18.75
5.4 x 18.75
101.25

So, we need 101 1/4 pounds of fertilizer. How many bags is that?

101.25/18.75
5.4

We'll say that since the 0.4 of a bag will still need to be used, that you need 6 bags to cover 27000ft^2.

Answer:

22.7 miles

Step-by-step explanation:

The hikers start walking 15 miles due east and then they turn north and walk 17 miles to a large pond.

The shape of their journey can be represented as a right angled triangle, shown below.

To find the distance between the pond and the base camp, we need to find the hypotenuse of the triangle.

We can do this by using Pythagoras theorem:

\(hyp^2 = a^2 + b^2\)

where a and b are the other two sides of the triangle. Therefore:

\(hyp^2 = 15^2 + 17^2\\\\hyp^2 = 514\\\\hyp = \sqrt{5`4} \\\\hyp = 22.7 miles\)

The pond is 22.7 miles far from the base camp.

The probability values  of the Poisson distribution are P(y ≤ 2) = 0.423 and P(y = 3) = 0.140

Probability 1

The given parameters here are:

P(y ≤ 2) when λ=3

The probability of a Poisson distribution is represented as

P(x) = λˣe⁻λ/x!

In this case,

x = y ≤ 2

This means that

y = 0, 1 and 2

So, we have

P(y ≤ 2) = P(0) + P(1) + P(2)

This gives

\(P(y \le 2) = \frac{3^0 \times e^{-3}}{0!} + \frac{3^1 \times e^{-3}}{1!} +\frac{3^2 \times e^{-3}}{2!}\)

Evaluate

\(P(y \le 2) = \frac{1 \times e^{-3}}{1} + \frac{3 \times e^{-3}}{1} +\frac{9 \times e^{-3}}{2}\)

Solving further, we have

P(y ≤ 2) = 0.050 + 0.149 +0.224

P(y ≤ 2) = 0.423

Probability 2

The given parameters here are:

P(y = 3) when λ = 5

The probability of a Poisson distribution is represented as

P(x) = λˣe⁻λ/x!

In this case,

x = y = 3

This gives

P(y = 3) = 5³ * e⁻⁵/3!

Evaluate

P(y = 3) = 125 * e⁻⁵/6

Solving further, we have

P(y = 3) = 0.140

Hence, the probability is 0.140

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Answer:

By the way that the line is facing.

The number of seconds does the firework hit the ground is 3 seconds

From the information given, we have the quadratic function;

y = -16x² + 32x + 48

To determine the value of x , let's reduce the expression, we get;

-2x² + 4x + 6

Now, let's factorize the terms

Multiply the coefficient by the constant and find the pair factors

-2x² + 6x - 2x + 6

Factorize in pairs, we get;

-2x(x -3) - 2(x -3)

Then, we have the expressions

-2x - 2 = 0

solve for x

x = -1

x - 3 = 0

x = 3

Hence, the value is 3 seconds

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Answer:

3

Step-by-step explanation:

i took the test

This mathematical theorem is called a. the law of large numbers.

The law of large numbers states that if an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. This theorem is a fundamental concept in probability theory and statistics.

When conducting an experiment, the true probability of an event represents the long-term average of its occurrence. However, in practice, it is often impossible to know the true probability directly. This is where the law of large numbers comes into play.

It suggests that by repeating the experiment numerous times, the empirical probability, which is calculated based on observed outcomes, will converge to the true probability. The law of large numbers provides a theoretical foundation for making inferences about probabilities based on observed data.

It assures us that as the number of trials increases, the empirical results become more reliable and representative of the true underlying probabilities. This is especially useful when dealing with random phenomena or conducting statistical analyses.

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Answer:

d. 0.2 ( x + 4 )

Step-by-step explanation:

0.2x + 0.8

Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.

0.2x + 0.8

0.2 ( x + 4 )

Answer:

Step-by-step explanation:

Find the discounted price by setting up an equation

40-.3(40) AKA 30% of the original price is being taken off of the original price

Evaluate

40-12

$28 = discounted price

Sales tax is based on the reduced/discounted price* remember this

OF= multiplication (in this scenario)

.08x28

$2.24= sales tax

Add tax with discounted price

28+2.24=