7x-3x=
what is x =
x=

Answer:

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $3.25 for 1 gallon of gasoline.

Step-by-step explanation:

To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.

Noah spent $66 for 20 gallons of gasoline.

Amount spent $66, 20 gallons. So

66/20 = $3.3

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $81.25 for 25 gallons of gasoline.

Amount spent $81.25, 25 gallons. So

81.25/25 = $3.25

Lydia spent $3.25 for 1 gallon of gasoline.

The option that best describes the reason for the change in Milwaukee's average high temperature in the summer is:

"Milwaukee is beside a lake."

The normalised high or low temperature for at least a 30 year period is the average high or low temperature. As a result, a statistical average is a mean high or low. The statistical significance of an average high or low temperature depends on the length of the records, which must be at least 30 years.

One of the Great Lakes of North America, Lake Michigan, has Milwaukee situated on its western side. The lake's existence influences the climate in a moderating way, especially in the summer when it serves as a "cooling" agent. Milwaukee's July high average is consequently lower than that of comparable cities at the same latitude that are not situated close to significant bodies of water.

The other possibilities don't offer a convincing justification for the observed temperature difference. The temperature of cities at the same latitude would not necessarily change because of Sioux Falls' closeness to mountains or deserts because temperature is impacted by a number of factors, including latitude, elevation, ocean currents, prevailing winds, and more. Milwaukee also doesn't have any notable mountains nearby, and Sioux Falls isn't any closer to a desert than Milwaukee is.

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Answer:

the answer is

Step-by-step explanation:

the answer is

the answer is

the answer is

c

The expression represents g(x) as the product of linear factors will be  (2x + 3)(x - 5)(x-2)(x + 1). The correct option is B.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

To factorize a polynomial function, we can use the known factors and long division. First, we'll use synthetic division to divide g(x) by (x - 2) and (x + 1) to get the other factors.

Using synthetic division, we get:

For (x - 2):

2 | 2 -9 -12 29 30

| 4 -10 -4 50

2  -5  -22  75  80

So, g(x) = (x - 2)(2x³- 5x² - 22x + 75) + 80

For (x + 1):

-1 | 2 -5 -22 75 80

| -2 7 15 -90

2  -7  -15  90  -10

So, g(x) = (x - 2)(x + 1)(2x² - 7x - 15) - 10

To factorize g(x) into linear factors, we need to factor the quadratic 2x^2 - 7x - 15. We can use factoring by grouping or the quadratic formula to find the factors, which are (2x + 3)(x - 5).

So, putting everything together, we have:

g(x) = (x - 2)(x + 1)(2x + 3)(x - 5)

Therefore, the answer is (2x + 3)(x - 5)(x - 2)(x + 1), option B.

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The average rate of change of f is less than the average rate of change of g.

What is average rate ?

This expression represents the average rate of change of the function f over the range a≤x≤b is less than or equal to x, and is less than or equal to b:

f(b)−f(a) / b - a

It is the average amount by which the function changed per unit throughout that time period.

Here, in Average rate of change in function g over [-3, 0]

=> a = -3, b = 0

=> f(a) = 5 , f(b) = 14

Average rate of change = (14 - 5) / (0 - (-3))

                                        = 3

​

Now, in Average rate of change in function f over [-3, 0]

=> a = -3, b = 0

=> f(a) = -3, f(b) = 0

Average rate of change = (0 - (-3)) / (0 - (-3))

                                        = 1

Therefore, The average rate of change of f is less than the average rate of change of g.

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Answer:

Is this from the VHAP

Step-by-step explanation:

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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Answer: 4a + 16

Step-by-step explanation:

The numerical value of side length x to the nearest thundredth is 7.21.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

The figure in the image is a right triangle.

Given that;

Plug the given values into the above formula and solve for x.

c² = a² + b²

b² = c² - a²

b = √( c² - a² )

b = √( 14² - 12² )

b = √( 196 - 144 )

b = √52

b = 7.21

Therefore, the value of x is 7.21.

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Answer: The answer is X = 4.

Answer:

x = 4

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 6x and 8 from both sides of the equation:

-7x (-6x) + 8 (-8) = 6x (-6x) - 44 (-8)

-7x - 6x = -44 - 8

-13x = -52

Next, fully isolate the variable, x, by dividing -13 from both sides of the equation:

(-13x)/-13 = (-52)/-13

x = -52/-13 = 4

x = 4 is your answer.

~

Answer:

X > -4

Step-by-step explanation:

2x+ 6 -4 > 4(-2+3) - 10

Answer:

x > − 4

(-4 , ∞ )

Step-by-step explanation:

If you remove the parentheses you get 2x+6-4>4*1-10

then calculate to 2x+6-4>4-10

Move the constant to the right 2x+2>-6

calculate again 2x>-6-2

Divide both side 2x>-8

Solution stated above

x > − 4

(-4 , ∞ )

Answer:

12.2cm!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer: the slope is 0

Step-by-step explanation:

this line is a horizontal line because both y-coordinates are 0. The slope of a horizontal line is always 0.

Answer:

The slope is 0

Step-by-step explanation:

Use the slope formula: y2-y1/x2-x1

2-2/-3-(-9)

=0

So, the slope is 0.

The basis of Monte Carlo simulation is experimentation on probabilistic elements by means of random sampling, option B.

The basis of Monte Carlo simulation is random sampling. Monte Carlo simulation is a computational technique that involves using random sampling to model and simulate complex systems or processes with probabilistic elements.

In Monte Carlo simulation, random sampling is used to generate a large number of possible outcomes or scenarios based on probabilistic inputs and assumptions. These random samples are then used to estimate or analyze the behavior and performance of the system being modeled. By simulating a large number of random samples, Monte Carlo simulation provides statistical information and insights into the range of possible outcomes, their probabilities, and their potential impact.

Random sampling is a fundamental component of Monte Carlo simulation as it allows for the exploration and evaluation of different probabilistic elements within the system being analyzed. By repeatedly sampling from the probabilistic distributions, Monte Carlo simulation can provide valuable insights, such as estimating probabilities, assessing risk, optimizing decision-making, and understanding the overall behavior of the system under uncertainty.

So, the correct option is B. random sampling.

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The milk will be served in cups to make it easier for them to consume, we are switching from the larger unit (i.e. quarts) to the smaller unit (i.e. cups).

4 cups or 2 pints are equivalent to one quart (qt). We can switch to utilizing gallons if we still need extra liquid. 16 cups, 8 pints, or 4 quarts make up a gallon (gal). It is a measurement of the largest liquid.

Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup. In a quart, there are 4 cups. In 2 quarts, there are 8 cups. In 4 quarts, there are 16 cups.

Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup.

1 quart = 4 cups

2 quarts = 2 × 4 quarts = 8 cups

3 servings/cup × 8 cups = 24 servings

The complete question is:

A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

Before you try that problem, answer the question below.

How many cups will you need to find the number of servings for?

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The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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Answer: 40/9

tan A = BC/AC = 40/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan a = opposite/adjacent

Answer:

-3

Step-by-step explanation:

because of the root

Answer:

line 5

Step-by-step explanation:

ok that's all thank you hope it's help

Answer:

⇒ Slope of |A'B'| = Slope of |AB| = 5

     Length of |A'B'| = K × length of |AB|

                               = 1.2 × 5

                               = 6 units

⇒   Slope of |B'C'| = Slope of |BC| = 0.25

     Length of |B'C'| = K × length of |BC|

                               = 1.2 × 4

                               = 4.8 units

⇒   Slope of |C'D'| = Slope of |CD| = -2

     Length of |C'D'| = K × length of |CD|

                               = 1.2 × 4.5

                               = 5.4 units

⇒   Slope of |A'D'| = Slope of |AD| = 0

     Length of |A'D'| = K × length of |AD|

                               = 1.2 × 7

                               = 8.4 units

Step-by-step explanation:

Dilation changes the length of corresponding sides to K times (where K is dilation factor) but it does not affect the slopes of the line segments.

i.e. Slope of primed segments = Slope of corresponding unprimed segments

Length of primed segments = K × length of corresponding unprimed segments

With dilation factor K = 1.2, Calculating for |A'B'| |B'C'| |C'D'| |A'D'|

The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.

The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.

In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.

Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

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Answer:

{(-1, 8), (0, 5), (2, -1), (3, -4)}

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Answer:

15x+10

Step-by-step explanation:

All you need to do is multiply 5 by 3x and 5 by 2

Step-by-step explanation:

\(5(3x + 2) \\ 15x + 10\)

if you want to find the value of x then

\(15x + 10 = 0 \\ 15x = - 10 \\ \\ x = - \frac{10}{15} \\ \\ x = - \frac{2}{3} \)

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

It is crystal size and rock texture.

Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.

Thanks,

As the last answer for today.

Happy Thanksgiving

- Eddie E.

The required, expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

To find the value of b in the expression (3 + 4i)^2, we can simply expand the expression and identify the coefficient of the imaginary part.

(3 + 4i)² = (3 + 4i)(3 + 4i)

Using the FOIL method, we can multiply the terms:

= 3 * 3 + 3 * 4i + 4i * 3 + 4i * 4i

= 9 + 12i + 12i + 16i²

Since i² is defined as -1, we can substitute it:

= 9 + 12i + 12i - 16

= -7 + 24i

Comparing the expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

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Complete question:

(3+4i)²

if the expression above is written in the form a+ bi, where a and b are real numbers, what is the value of b?

Answer:

44

Step-by-step explanation:

x = 4 and y = 12.

5х² - 3у

20x - 3y

80 - 36

44

We can see here that a complex number can be geometrically represented as a point in the complex plane, with the horizontal axis standing for the real part and the vertical axis for the imaginary part.

A basic mathematical theorem relating to the sides of a right triangle is known as the Pythagorean Theorem.

|z| = √(a² + b²) - This equation demonstrates that a complex number's magnitude is equal to the Pythagorean Theorem.

We can then see here the Pythagorean Theorem, which determines the length of the hypotenuse of a right triangle, is comparable to the magnitude of a complex number.

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The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to y = 5x + 44, the slope is equal to 5.

At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 5(x - (-4))  

y + 2 = 5(x + 4)

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