When multiplying two variables how is using the distributive property similar to using a table?

Total distance will be 17.69 miles by multiplying average speed to time.

What is a average?

An average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/ Number of values

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Speed=Distance/time

12.2=distance/1.45

Distance=12.2*1.45

=122/10*145/100

Distance=17.69 miles

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Now, According to the question:

The function of F5 is:

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The senate has 4+22 = 26 members this year.

Let x be the number of Democrat members in the senate.

Last year, the number of Republican members was x+20

This year, the number of Republican members is (x+20) - 2 = x+18

This year, the number of members in the senate is 2/3*(x+18) = 2/3*x+12

So the number of members in the senate this year is x+12

To find the value of x, we can use the fact that the number of members in the senate this year is the same as last year.

x + (x + 20) = x + 12

x+x+20 = x + 12

2x = 8

x = 4

So the senate has 4 Democrat members and x+18 = 4+18 = 22 Republican members.

Therefore the senate has 4+22 = 26 members this year.

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Answer:

To factorize 21x⁴y⁵ - 7x³y² + 14x³y⁴, we can factor out the greatest common factor (GCF) from all three terms. The GCF of the three terms is x³y².

So we can write:

21x⁴y⁵ - 7x³y² + 14x³y⁴ = x³y²(21x y³ - 7 + 14x²y²)

We can simplify further by combining the constants:

21x y³ - 7 + 14x²y² = 21x y³ + 14x²y² - 7

So the expression can be factorized as:

x³y²(21x y³ + 14x²y² - 7)

This is the factorization of 21x⁴y⁵ - 7x³y² + 14x³y⁴.

Radiometric dating uses a decay curve to estimate the age of a fossil. The X-axis represents the number of years since the fossil was formed. The Y-axis represents the amount of radioactive material remaining in the fossil.

Radioactive elements decay over time, and the rate of decay is used to calculate how long ago the fossil was formed. The decay curve is a graph of the amount of the radioactive element left in the fossil over time, with the X axis showing the amount of time that has passed since the fossil was formed and the Y axis showing the amount of the radioisotope that is left in the fossil. The decay curve is used to estimate the age of the fossil by looking at the rate of decay and the amount of radioisotope that is left in the fossil.

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Converting moles to grams is a relatively straightforward process.

To begin, you'll need to know the molecular weight of the substance you're dealing with. This is the sum of the atomic masses of all the atoms in the molecule.

Once you have the molecular weight, you can then use the following equation to convert moles to grams: moles x molecular weight = grams. For example, if you wanted to convert 1 mole of water to grams, you would use the molecular weight of water (18.015 g/mol) to get the answer: 1 mole x 18.015 g/mol = 18.015 g.

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The expression to represent the amount of canned food collected so far is 5x² + 3xy + 2.

To write an expression that represents the number of cans the friends still need to collect to meet their goal is 2x² - 7xy + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

PART A

To write an expression to represent the amount of canned food collected so far, sum the expressions for the already collected number of cans. That is:

amount collected so far = 2x² + 3x²−4 + 3xy + 6

amount collected so far = 5x² + 3xy + 2

PART B

To write an expression that represents the number of cans the friends still need to collect to meet their goal, subtract amount collected so far from collection goal. That is:

amount left = 7x² − 4xy + 6 - (5x² + 3xy + 2)

amount left = 2x² - 7xy + 4

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Answer: True

Step-by-step explanation:

Because 8-2 is 6 therefore the equation is 6>3 saying that 6 is greater than 3 or 3 is less than 6

the percentage of change is calculated using a formula, which gives you the solution as 40% of change in this question.

percentage of change = [ (new price - old price)/old price ] *100

= [(70-50)/50 ] *100

= [20/50 ] *100 = 40%

To calculate the percentage change we divide the change in price by the original value of the factor. By subratcting the old price from the new price, you will get either a positive or negative sign. If it is positive, the change is increasing while in case of negative sign, change results in decrease.

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69Answer:

Step-by-step explanation:

because I love 69

Answer:

14 cups of flour

Step-by-step explanation:

14 cups of sugar multiplied by 2 is 28 cups of sugar

7 cups of flour multiplied by 2 is 14 cups of flour

The answer you neede is below.

What is Lines square?

Different sorts of lines, including horizontal, vertical, parallel, and perpendicular ones, can be found in geometry. These lines are crucial in the building of many polygonal shapes. For instance, four lines of equal length form a square, whereas three lines joined end to end form a triangle.

Step by step Explaination:

The probability that:

(a) at least one of these students is in class is:  0.88

(b) exactly one of them is there is:  0.44

(a) To find the probability that at least one of the students is in class, we need to know the probability that Alice is in class and the probability that Betty is in class, which is given as 0.8 and 0.6 respectively.

Since we know that the students' absences are independent, we can use the formula for the probability of the union of two events:

This means that the probability of both of them being absent is:

    (1-0.8) * (1-0.6) = 0.04.

So the probability that at least one of them is in class is P(A) + P(B) - P(A and B) = 0.8 + 0.6 - 0.04 = 0.88.

(b) To find the probability that exactly one of the students is in class, we need to consider the probability that Alice is in class and Betty is absent and the probability that Betty is in class and Alice is absent. These events are mutually exclusive which means they can't happen at the same time.

The probability that Alice is in class and Betty is absent is

       (0.8 * 0.4) = 0.32.

The probability that Betty is in class and Alice is absent is

       (0.6 * 0.2) = 0.12.

So, by adding these two probabilities we get the probability that exactly one of them is in class:

     0.32 + 0.12 = 0.44.

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Answer:

hope this helps!

Step-by-step explanation:

The length of the pool is 50 m, width 25 m, and the depth varies: 2.0 m is the minimum, but 3.0 m is the recommended depth. Olympic-size swimming pool contains 2,500,000 L of water, assuming a nominal depth of 2 m. It's around 550,000 imp gal and 660,000 US gal.

So the value of discriminant for √ 2x² − 5x + √ 2 = 0 is b. 17

The discriminant of a quadratic equation is the value of the expression under the square root in the quadratic formula. The quadratic formula is used to find the solutions of the equation of the form ax² + bx + c = 0, where a, b and c are constants. The solutions of the equation are given by x = (-b ± √(b² - 4ac))/ 2a. The value under the square root (b² - 4ac) is called the discriminant.

Given equation is √ 2x² − 5x + √ 2 = 0

The discriminant of the equation is the value of b² - 4ac, which is

b² - 4ac = (-5)² - 4 * (√2) * (√2) = 25 - 8 = 17

So the value of discriminant for √ 2x² − 5x + √ 2 = 0 is b. 17

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Answer: I believe it is infinitely many solutions

Step-by-step explanation:

2023

Answer:

Step-by-step explanation:

The first equation is already in slope intercept form - y=mx+b

the second equation we would to get y by itself.

so 7x - 6y = 12  subtract 7x from both sides

-6y= -7x + 12    I put the 7x first to keep the y=mx+b form

y = (-7x + 12) / -6  divide both sides by -6

y = 7/6 x -2

so your two equations are now

y = 7/6x + 2

y = 7/6x - 2

you can graph the equation by putting a point in for x and solving for y.

y = 7/6 (0) +2

y = 2

so your first point is (0,2)

try a different value for x

y = 7/6 (6) + 2

y = 7 + 2 (multiplying by 6 cancels out the 6 denominator)

y = 9

so another point is (6, 9)

in the formula y = mx + b , b is the y intercept

so the line will intercept Y at 2 and there will be a point at (6,9)

Do the same for the other equation.  It will be exactly the same except that the y intercept will be at -2, not 2.

We have found more than one solution, so the answer can not be one solution or no solutions.   By process of elimination we have infinitely many solutions.

Answer:

81

Step-by-step explanation:

37(3)=81

The angle of depression from the cruiser to the submarine is 63.43 degrees.

We can use the tangent function to find the angle of depression from the cruiser to the submarine.

The tangent function relates the opposite side (the vertical distance, or the depth) to the adjacent side (the horizontal distance) in a right triangle.

tan(angle of depression) = opposite/adjacent

In this case, the opposite side is the depth, or the vertical distance from the cruiser to the submarine, which is 2100 ft.

The adjacent side is the horizontal distance from the cruiser to the submarine, which is 900 ft.

tan(angle of depression) = 2100/900

Using a calculator we can find that tan(angle of depression) = 2.3333

Now we can use the inverse tangent function (arctan) to find the angle of depression:

the angle of depression = arctan (2100/900)

Using a calculator we can find that angle of depression = 63.43 degrees

Therefore, the angle of depression from the cruiser to the submarine is 63.43 degrees.

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The other root of the polynomial is 1 - √3.

The roots of a polynomial are the values of the independent variable at which the polynomial is zero.

If a polynomial has integral coefficients with 3 + i and 1 + √3  as roots, then what other roots must it have? To find the roots it has, we note that the root of a polynomial with a square root in the root also has the conjugate of the square root as a root.

So, since 1 + √3, the conjugate is also a root.

The conjugate is 1 - √3.

So, the other root is 1 - √3.

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When w = 2 and x = 3, the value of the expression 10w - 9x will be -7.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, w = 2 and x = 3, the value of 10w - 9x will be:

= 10w - 9x.

= 10(2) - 9(3)

= 20 - 27

= -7

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Complete question

Given w = 2 and x = 3, what does 10w - 9x equal?

Answer:

The answe should be c=45d+25

The required way to plot the graph of log function is described.

It can be represented graphically as follows: The graph of any function's inverse function is the reflection of the function's graph about the line y=x. The reflection of the preceding graph about the line y=x is the graph of the logarithmic function y=log3(x), which is the inverse of the function y=3x.

The function loglog(X, Y) shows the x- and y-coordinates on the x- and y-axes, respectively, using a base-10 logarithmic scale. Specify X and Y as vectors of the same length in order to visualise a set of coordinates connected by line segments. You must provide at least one of X or Y as a matrix in order to plot several sets of coordinates on the same set of axes.

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The inverse of log₁₀x is 10ˣ.

Inverse Function[f][y] provides the value of x for which f[x] equals y. Inverse Function[f][y] represents the inverse of the function f. To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y. Another name for exponentiation is finding an antilog, which is the inverse operation of finding a log.

The steps to determine the inverse of a function y = f are listed below (x). Swap out x and y. Solve for y. Change y to f⁻¹ (x).

Let us take,

a = f(x)

f(x) = log₁₀x

Then, a = log₁₀x

⇔ 10ᵃ = x

∴ f⁻¹(x) = 10ˣ

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The spoken statement "six metres less than four times the width is 4w -6" has an algebraic equivalent.

An algebraic expression:

An expression that has been created utilizing integer variables, constants, and algebraic operations is known as an algebraic expression. 3x 2 2xy + c is a nice illustration of an algebraic expression.

As per the data given in the above question are as bellow,

Let's say the value is v.

To get: the product of w multiplied by four.

As a consequence, we must multiply w and 4 the result we get 4w.

To get: the subtract 6 meter less than four times the width.

As a consequence, we must subtract 6 meter less than four times the width the result we get 4w -6.

The following is the mathematical expression.

4w-6

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The population size at the end of 2017 is 8775.

The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction.

To add, one must add two or more numbers or values to produce a new number. For instance, if we multiply 2 by 3 we get 5.

2 + 3 = 5

To subtract is to take away from another value in order to obtain the desired value.

For instance, 2 is the result when 3 is subtracted from 5.

5 – 3 = 2

Given that the population at the beginning of the 2017 is 8615.

There were 173 births, 69 deaths, 85 immigrants, and 29 emigrants, thus the new population is:

N = 8615 + 173 - 69 + 85 - 29

N = 8775

Hence, the population size at the end of 2017 is 8775.

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Length of YZ = 29.5

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

Given,

∵ ABCD ~ WXYZ

∴ By the figure ΔADC ~ ΔYWZ

∴ AD/DC = WZ/YZ

AD = 8, DC = 4, and WZ = 59

⇒ 8/4 = 59/YZ

⇒ 2 = 59/YZ

⇒ 2YZ = 59

⇒ YZ = 29.5

Hence, 29.5 is the length of YZ.

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Individuals can be categorized using qualitative (or categorical) factors based on a trait or characteristic. Individuals are measured numerically through quantitative variables.

There are counts of the participants or observations in each category in qualitative or categorical data. Frequently, percentages or other ratios are used to describe this data (eg, risks). There are two types of categorical data: nominal and ordinal. Nominal variables don't have numerical values; instead, they have two or more categories with "names" (from the Latin nominalis, which means belonging to names). Furthermore, they lack any inherent or natural order. Sex (male or female), marital status (single, married, or divorced), and the reason for a spinal cord injury are examples of nominal variables.

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Answer:

2 & 4 (36 and 12)

Step-by-step explanation:

[tex]\frac{y}{3} \leq 12\\y\leq 36\\12\leq 36\\36 = 36[/tex]

Answer:

Dilated point coordinates: (-1, -2)

Step-by-step explanation:

For a point (x, y), the dilation of the point by a scale factor of k centered around the origin will result in a point (x', y') where x' = kx and y' = ky

Depending on the value of k, the point will move either closer to the origin(k < 1) or farther away from the origin (k > 1)

Here we have the original point A(-4, -8) and k = [tex]\dfrac{1}{4}[/tex]

So the new point will move closer to the origin

The coordinates of the new point A' will be

[tex]x' = 4\cdot \dfrac{1}{4} = -1\\\\y' = -8\cdot \dfrac{1}{4} = -2\\[/tex]

So the dilated point A' will have coordinates (-1, -2)

Answer:

A. To find a linear equation that models the temperature T when crickets are chirping at x chirps per minute, we need to use two points that are known. In this case, we are given that a cricket produces 120 chirps per minute at 70 degrees F and 168 chirps per minute at 80 degrees F. We can use these two points to find the slope and y-intercept of the line.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1)

In this case, we can substitute the given values to get:

m = (168 - 120) / (80 - 70) = 48/10 = 4.8

The y-intercept of a line can be found using the formula: b = y - mx

We can use the point (70, 120) and the slope that we found to get:

b = 120 - (4.8 * 70) = -264

So the linear equation that models the temperature T when crickets are chirping at x chirps per minute is:

T = 4.8x - 264

B. If the crickets are chirping at 150 chirps per minute, we can substitute this value for x in the equation we found above to estimate the temperature:

T = 4.8x - 264

T = 4.8(150) - 264 = 720 - 264 = 456

So the estimated temperature is 456 degrees F.

C. The y-intercept of the line is -264, it represents the temperature when x (chirps per minutes) is zero. In this case it represents the temperature when the cricket is not chirping which is impossible, so it doesn't have any physical meaning.