Identify which graph can be used to solve each equation. Enter the letter of the correct graph next to the
equation.
A
DONE
SL
30
20
10
21
x + 3 = 0
B
St
20
10
10
4
2
(x-3)4 = 0
C
S
30
20
10
2
(x²-3)² = 0

Answer: 36

Step-by-step explanation:

Match the description with the step accordingly:

How many times larger is 2 × 10⁻² then 3 × 10⁻⁶: Divide the larger Scientific Notation by the smaller Scientific Notation - divide coefficients and subtract exponents.

Difference between 2 × 10⁻² and 3× 10⁻⁶: Subtract by getting the same exponent to be like terms.

400 times 2 × 10³: Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form.

To find How many times larger is 2 × 10⁻² then 3 × 10⁻⁶. Divide the larger Scientific Notation by the smaller Scientific Notation - divide coefficients and subtract exponents. That is:

(3 × 10⁻⁶)/(2 × 10⁻²) = 3/2 × 10⁻⁶⁻⁽⁻²⁾ = 1.5×10⁻⁴

To find the difference between 2 × 10⁻² and 3× 10⁻⁶. Subtract by getting the same exponent to be like terms. That is:

2×10⁻² - 3×10⁻⁶ = (2 × 10⁻²) - (0.0003× 10⁻²)

                           = (2 - 0.0003) × 10⁻²

                           = (2 - 0.0003) × 10⁻²

                           = 1.9997× 10⁻²

For 400 times 2 × 10³. Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents. That is:

400 × 2 × 10³ = 4 × 10² × 2 × 10³

                     = 4 × 2 × 10³ × 10²

                     = 4 × 2 × 10³⁺²

                     = 8 × 10⁵

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Diameter of flu virus particle is 8.1 × 10⁻⁸ meter

Scientific notation is a way of representing numbers that are too large or too small to be easily written in decimal form because they require very long strings of digits to  be written. This is sometimes called scientific or standard exponential format, or British standard format.

Given,

Diameter of water molecule = 2.7 × 10⁻¹⁰ meters

Flu virus particle is 300 times bigger than water molecule

Diameter of flu virus

= 300 × 2.7 × 10⁻¹⁰

= 810 × 10⁻¹⁰

= 8.1 × 10⁻⁸ meter

Hence, 8.1 × 10⁻⁸ meter is the diameter of the Flue virus particle.

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The answer is f(-x) = x^4 + 6x + 2 and the function is neither even nor odd.

To find f(-x), we simply substitute -x for x in the original function:

f(-x) = (-x)^4 - 6(-x) + 2 = x^4 + 6x + 2

Now, to determine if f is even, odd, or neither, we compare f(x) and f(-x). If f(x) = f(-x), then the function is even. If f(x) = -f(-x), then the function is odd. If neither of these conditions are met, then the function is neither even nor odd.

In this case, f(x) = x^4 - 6x + 2 and f(-x) = x^4 + 6x + 2. These are not equal, so the function is not even. However, if we multiply f(-x) by -1, we get:

-f(-x) = -x^4 - 6x - 2

This is also not equal to f(x), so the function is not odd either. Therefore, the function is neither even nor odd.

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In a linear equation, There is one more test this quarter 39.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

lowest average score = 80% * 50  = 40

 suppose the final exam score she must get at least x.

   ( x + 45 + 38 + 36) = 4 ≥ 40

                                x ≥ 39

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Answer:

Ans = (1.50 x 29 movies) + 16

Step-by-step explanation:

y represents total costs

x represents how many movie he rents

$1.50 is the rent of each movie

$16 is the fixed fee

thus

y = 1.50 x + 16

Ans = (1.50 x 29 movies) + 16

Therefore, the predicted population of Alaska in 2040 is approximately 1,038,428.

Given by the question.

P₀ = 410,851

P = 739,818

t = 2017 - 1980 = 37

r = ln (739818/410851) / 37

r ≈ 0.0136

Therefore, the equation that models the population of Alaska t years after 1980 is:

P(t) = 410,851 * [tex]e^{(0.0136*t)}[/tex]

To predict the population of Alaska in 2040, we need to find the value of P (60), since 2040 is 60 years after 1980:

P (60) = 410,851 * [tex]e^{(0.0136*60)}[/tex]

P (60) ≈ 1,038,428

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Answer:

8.9

Step-by-step explanation:

9.0-0.1= 8.9

which is one-tenth less than 9

Statement C is true: Either quarterback could have completed more passes

What are basic attributes of a good conclusion?

Rephrase the thesis statement first, then explain what you mean and back it with information from the prompt to show what you mean. Describe how the evidence supports your claims in further detail.

We cannot determine which quarterback completed more passes based solely on their completion percentages.

For example, if Drew Brees attempted 100 passes and completed 73.5% of them, he would have completed 73.5 passes. If Patrick Mahomes attempted 200 passes and completed 68.8% of them, he would have completed 137.6 passes, which is more than Drew Brees.

On the other hand, if Drew Brees attempted 200 passes and completed 73.5% of them, he would have completed 147 passes, which is more than Patrick Mahomes' 137.6 completed passes in the above example.

Therefore, statement C is true: either quarterback could have completed more passes, depending on the number of passes attempted.

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Answer:

Total time = (length of one song) x (number of songs)

Length of one song = 3/8 minutes

Number of songs = 12

Total time = (3/8) x 12

Total time = 36/8

Simplifying the fraction, we get:

Total time = 4 and 4/8 minutes

Total time = 4 and 1/2 minutes

Therefore, Michael sang for a total of 4 and 1/2 minutes.

Answer:

Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Step-by-step explanation:

Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Answer:15 because it is connected to the line

Step-by-step explanation:

Answer:

f(-4) = 15

Step-by-step explanation:

A function is notated as f(x), because the x is the value you are putting in. For example. In f(x) = x + 5, the value you are putting in is x, and the output would be x + 5.

So in this case, we have f(x) = -7x-13. We are to figure out f(-4), so we can simply put in -4 as the x-value;

-7(-4) - 13

28 - 13

15

And so the value of f(-4) = 15

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Answer:

9

Step-by-step explanation:

f times 9 = 7x - 13 = 9 pls make me brianlist

Answer:

To simplify this expression, we first need to evaluate the expression inside the parentheses:

10 - 9 + 6 = 7

Now we can substitute this value back into the original expression:

10 + 28 ÷ 7 (7) = 10 + 4(7) (since 28 ÷ 7 = 4)

= 10 + 28

= 38

Therefore, 10 + 28 divided by 7 (10-9+6) equals 38.

The set of ordered pairs from the given table is: (5.0, 4.20), (6.0, 5.05), (7.0, 5.90), (8.0, 6.75).

When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is quite significant. It implies that (x, y) may not always be equivalent to (y, x).

The set of ordered pairs from the given table is:

(5.0, 4.20)

(6.0, 5.05)

(7.0, 5.90)

(8.0, 6.75)

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The complete question is:

The result obtained  when x^(4)-6x^(2)-x-19 is divided by x-3  using long division method is    x3 - 18x2 - 9x - 57 + 19/x-3.

The question is, "Use the long division method to find the result when x^(4)-6x^(2)-x-19 is divided by x-3".

To solve this problem using long division, we need to set up the division like this:

    x4 - 6x2 - x - 19

    ___________________      (x-3)

                      0

                           -3x3 - 18x2 - 9x - 57

Now, divide the first term of the numerator by the first term of the denominator, x4/x = x3, and write it above the division. Next, multiply the result x3 by the denominator (x-3) to get -3x3.

Now subtract -3x3 from the numerator (x4 - 6x2 - x - 19) to get -6x2 - x - 19. Divide this by the denominator (x-3) to get -18x2 - 9x - 57, and write it below the division. Now multiply the result -18x2 by the denominator (x-3) to get -54x2 - 27x - 171.

Finally, subtract -54x2 - 27x - 171 from -6x2 - x - 19 to get the remainder, -19.

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[tex]\huge\begin{array}{ccc}a_1=-2\\a_2=1\\a_3=6\\a_{10}=97\end{array}[/tex]

[tex]a_n=n^2-3[/tex]

Find the first 3 terms and the 10th term.

Substitute

n = 1, n = 2, n = 3 and n = 10:

[tex]a_1=1^2-3=1-2=-2\\\\a_2=2^2-3=4-3=1\\\\a_3=3^2-3=9-3=6\\\\a_{10}=10^2-3=100-3=97[/tex]

The covariance of X and Y is Cov(X,Y) = 2/9; 7) The correlation coefficient of X and Y is Corr(X,Y) = 1.

Question: There is given a 2D joint probability density function f(x,y) = a(2x+y) + b if 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. Find: 1) Coefficient a; 2) Marginal p.d.f. of X, marginal p.d.f. of Y; 3) E(X), E(Y), E (XY); 4) Var(X), Var(Y); 5) 0(X), (Y); 6) Cov(X,Y); 7) Corr(X,Y).

Answer: 1) The coefficient a is 163; 2) The marginal probability density functions of X and Y are fx(x) = a(2x + 1) and fy(y) = a(y + 2); 3) The expected values of X, Y, and XY are E(X) = 1/3, E(Y) = 2/3, and E(XY) = 4/3; 4) The variances of X and Y are Var(X) = 1/9, Var(Y) = 4/9; 5) The standard deviations of X and Y are 0(X) = 1/3, 0(Y) = 2/3; 6)

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The table with order pairs (-3,2), (0, 2), (3, 7),(5, 8) (6, 8) represents the function.

A relation is a function if it has only One y-value for each x-value.

In the given tables the third table represents the function.

The left bottom table is the third table.

As we observe the other tables there are repeating values of x.

In a function, for every y value there should be one unique x value.

(-3,2), (0, 2), (3, 7),(5, 8) (6, 8) represents the function.

Hence, the table with order pairs (-3,2), (0, 2), (3, 7),(5, 8) (6, 8) represents the function.

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Since 100% of the children are served both meals, this means that all 25 children are served both meals. Therefore, the answer is 25 children.

To find the number of children who are served both meals, we can use the following formula:

Number of children served both meals = (percentage of children served both meals / 100) x total number of children

Plugging in the given values, we get:

Number of children served both meals = (100 / 100) x 25

Number of children served both meals = 1 x 25

Number of children served both meals = 25

Therefore, the number of children who are served both meals is 25. .

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At a 5% level of significance, the claims that a shipment of goods contains at most 2% defective items is accepted.

To investigate the claim that the shipment contains at most 2% defective items, we can use the 5% level of significance. The claim is that the population proportion of defective items is at most 2%, or p0 ≤ 0.02. The sample size is n = 200, and the sample proportion of defective items is pobs = 10/200 = 0.05.

The test statistic is then:

z = (pobs - p0) / √(p0(1-p0) / n)

= (0.05 - 0.02) / √(0.02(1-0.02)/200)

= 1.02.

With a 5% level of significance, we can look up the critical value for a one-tailed z-test and find that it is zα/2 = 1.645. Because 1.02 < 1.645, the test statistic is not greater than the critical value, and thus we fail to reject the null hypothesis that the population proportion of defective items is at most 2%.

In conclusion, with a 5% level of significance, the claim that the shipment contains at most 2% defective items is accepted.

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If the ratio is less than 1, then the series converges, and if the ratio is greater than 1, then the series diverges.

To find the properties that two units are sold in a given day, the formula P(2) is used.

The Ratio Test can be used to determine the convergence or divergence of the series given by the expression n=1∑[infinity]2nn2→.

To use the Ratio Test, you must calculate the ratio of the values of the  successive terms that occurs in the series.

The ratio is calculated by dividing the n+1th term by the nth term.

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Moreover, we should evaluate the model's goodness of fit and take into expressions account additional elements that can influence plant development.

Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression. For example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

In the formula, h is the height, t is the time, and a and b are the parameters that need to be approximated.

The information in the table may be used to estimate the values of a and b. The equation is first transformed to yield:

[tex]log(b*t) = log(h/a)[/tex]

[tex]19 = 19.24 * log(53.89*t)[/tex]

t = 0.186 months, or approximately 5.58 days, or log(53.89*t) = 1 53.89*t = 10

Hence, 5.58 days is the best guess for the age of the plant at 19 inches tall. Seeing that this is a very little period of time, it is probable that the model will not be correct for values of t this low. Moreover, we should evaluate the model's goodness of fit and take into account additional elements that can influence plant development.

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The expression 6 is a polynomial. It is a constant polynomial with a degree of 0.

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. A constant polynomial is a polynomial with no variables, and only consists of a constant term.

In the expression 6, there are no variables and it only consists of a constant term, which makes it a constant polynomial. The degree of a polynomial is the highest exponent of the variable in the polynomial. Since there are no variables in the expression 6, the degree of the polynomial is 0.

Therefore, the expression 6 is a constant polynomial with a degree of 0.

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Converting 33 pints into quarts is 16.5 Quarts.

The pint (symbol: pt) is a unit of volume or capacity in both the imperial and United States customary measurement systems.

The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.

To calculate 33 Pints to the corresponding value in Quarts,

We multiply the quantity in Pints by 0.5 (conversion factor).

In this case we should multiply 33 Pints by 0.5 to get the equivalent result in Quarts:

33 Pints x 0.5 = 16.5 Quarts

Hence, 33 Pints is equivalent to 16.5 Quarts.

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Answer:

300

Step-by-step explanation:

x(100%-7%)=279

        0.93x=279

                x=300

The building's depression angle relative to the plane is found as  24.49°.

According to an aerial photographer who specializes in taking pictures of real estate properties.

The ideal shot should be taken at a height of around 406 feet and a distance of 891 feet from the structure.

Height h = 406 ft

Distance d =891 ft

The building's depression angle relative to the plane:

tan Ф = Height / Distance

tan Ф = 406 / 891

tan Ф = 0.455

Ф = 24.49°

Thus, the building's depression angle relative to the plane is found as  24.49°.

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The value of the digit 4 in 5,040 is 100 times more than that of the digit 4 in 4,670.

At the unit place of both numerals, there is a digit 4. The place value of a digit determines how valuable it is in a number. The position of the digit from the number's rightmost side determines its place value.

The value of the digit 4 in the tens place of the number 4,670 is 4 x 10 = 40.

The value of the digit 4 in the thousands position of the number 5,040 is 4 x 1000, or 4000.

Therefore, As 4000/40 = 100, the value of the digit 4 in 5,040 is 100 times more than that of the digit 4 in 4,670.

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The car travels 4 feet in 1 second, 16 feet in 4 seconds, 24 feet in 6 seconds, 32 feet in 8 seconds.

Distance is a measure of the amount of space between two objects or points. It is the length of the shortest path between the two points, and it is typically measured in units such as meters, kilometers, miles, or feet.

In mathematics, distance is often calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The car travels 4 feet in 1 second, which is equivalent to a rate of 4 feet per second.

The car also travels 16 feet in 4 seconds, which is also equivalent to a rate of 4 feet per second.

Similarly, the car travels 24 feet in 6 seconds, 32 feet in 8 seconds, and so on, all at a constant rate of 4 feet per second.

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The equivalent expression is option D)  [tex]81/m^7.[/tex]

What is the equivalent expression?

In mathematics, an equivalent expression is one that has the same value or meaning as another expression, even though it may look different. In other words, two expressions are equivalent if they simplify to the same value or form.

To simplify the expression [tex](3m^{(-4)})^3 * (3m^5)[/tex], we need to apply the power of a power property of exponents, which states that [tex](a^b)^c = a^(b*c)[/tex].

Using this property, we can rewrite [tex](3m^{(-4)})^3[/tex] as [tex]3^3[/tex] * [tex](m^{(-4)})^3 = 27 * m^{(-12)[/tex]. Similarly, we can rewrite (3m⁵) as 3 * m⁵.

Substituting these values back into the original expression, we get:

[tex](3m^{(-4)})^3 * (3m^5) = 27 * m^{(-12)} * 3 * m^5[/tex]

[tex]= 81 * m^{(-12+5)[/tex]

[tex]= 81 * m^{(-7)[/tex]

Therefore, the equivalent expression is option D) [tex]81/m^7.[/tex]

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