sides of a square is 20cm What is its area??​

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

a) 50 - 7z

b) $29

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

(a) 50 - 7z

(b) $29

Step-by-step explanation:

(a) If Mrs. Tham bought z bottles and each bottle costed her $7, the amount she spent is 7z. Since she gave the cashier $50, her change would be 50 minus the amount she spent, which is 7z. So, her change would be 50 - 7z.

(b) If z is 3, then we can plug it into our expression from problem (a):

50 - 7z.

z = 3.

50 - 21 = $29

Answer:

x = - 2, x = - 1 , x = 1

Step-by-step explanation:

x³ + 2x² - x - 2 = 0 ( factor first/second and third/fourth terms )

x²(x + 2) - 1 (x + 2) = 0 ← factor out x + 2) from each term

(x + 2)(x² - 1) = 0 ← x² - 1 is a difference of squares and factors as (x + 1)(x - 1)

(x + 2)(x + 1)(x - 1) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 1 = 0 ⇒ x = - 1

x - 1 = 0 ⇒ x = 1

Answer:

every two seconds it does one full swing,meaning after 30 seconds. it will do 15 full swings.

Step-by-step explanation:

Answer:

f^(-1)(x) = 4x + 48.

Step-by-step explanation:

Is suppose the function is f(x) = 1/4 x - 12

This is equivalent to the line y = 1/4 x - 12.

To get the inverse, change the x and y:

x = 1/4 y - 12

Now solve for y:

x + 12 = 1/4 y

y = 4x + 48

So the inverse f^(-1)(x) = 4x + 48.

Answer:

f-1(x) = 4x + 48.

Step-by-step explanation:

let f(x) = y = 1/4 x - 12

We solve for x:

y = 1/4 x - 12

1/4 x = y +12

Multiply through by 4:

x = 4y + 48

The inverse  f-1(x) = 4x + 48.

Answer:

56 feet²

Step-by-step explanation:

To make this question easier, we can divide the shape into two parts.

Firstly lets find the first part (the bottom square)

We know that its length is 4 and we can find its height by doing 8 - 4 = 4

4 * 4 = 16

Then we do 10 * 4 = 40 to find the top bit.

We add these together to make 16 + 40 = 56

The total area is 56 feet²

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

P(A n B) = P(A U B) - P(A) - P(B)

= 11/12 - 3/4 - 1/2

= (11 - 9 - 6)/12

= 4/12

= ⅓

The derivative of the curve r(t) = (2t, et, e9t) is r'(t) = (2, et, 9e9t). The second derivative of the curve is r''(t) = (0, et, 81e9t).

To find the curvature at t = 0, we can plug in the value of t into the formula for curvature, which is given by K(t) = ||r'(t) × r''(t)|| \(||r'(t)||^3\).

To find the derivative of the curve r(t) = (2t, et, e9t), we take the derivative of each component of the curve with respect to t. The derivative of r(t) with respect to t is r'(t) = (2, et, 9e9t).

Next, we find the second derivative of the curve by taking the derivative of each component of r'(t). The second derivative of r(t) is r''(t) = (0, et, 81e9t).

To find the curvature at t = 0, we need to calculate the cross product of r'(t) and r''(t), and then calculate the magnitudes of these vectors. The formula for curvature is K(t) = ||r'(t) × r''(t)||  \(||r'(t)||^3\).

By plugging in t = 0, we get K(0) = ||(2, 1, 0) × (0, 1, 81)|| / |\(|(2, 1, 0)||^3\). Simplifying further, we find that K(0) = 1.

In conclusion, the derivative of r(t) is r'(t) = (2, et, 9e9t), the second derivative is r''(t) = (0, et, 81e9t), and the curvature at t = 0 is K(0) = 1.

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The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

7

Step-by-step explanation:

21 divided by 3 = 7

7 x 3 = 21

Answer:

limited

Step-by-step explanation:

To find the average rate of change of the function f(x) = 42x² - 8 on the interval [1, t], we can use the formula for average rate of change: Average rate of change = (f(t) - f(1)) / (t - 1).

Substituting the function f(x) = 42x² - 8 into the formula, we have: Average rate of change = (42t² - 8 - (42(1)² - 8)) / (t - 1). Simplifying the expression, we get: Average rate of change = (42t² - 8 - 34) / (t - 1). Combining like terms, we have: Average rate of change = (42t² - 42) / (t - 1).

So, the expression for the average rate of change of f(x) = 42x² - 8 on the interval [1, t] is (42t² - 42) / (t - 1).

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Answer:

-3

Step-by-step explanation:

Answer: 86 mph

Step-by-step explanation:

Given

Ms. Dos has driven 94.6 miles

Time is taken 1.1 hours

Average speed is given by the ratio of total distance and total time taken

\(\Rightarrow \text{Average speed v=}\dfrac{94.6}{1.1}\\\\\Rightarrow v=86\ mph\)

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

the answer is

length * width

or side * side

Step-by-step explanation:

Answer:

Below:

Hope this helps :DDD

Step-by-step explanation:

Area of rectangle / square / parallelogram: Base * height

Area of triangle: \(\frac{Base*height}{2}\)

Area of equilateral triangle: \(\frac{\sqrt{3} }{4} side^2\)

Area of trapezoid:  \(\frac{Base1 + Base2}{2}*height\)

Area of circle: \(\pi r^2\)

Area of rhombus / kite: \(\frac{Diagonal1 * Diagonal2}{2}\)

Elijah's estimate had a 3% greater error than Angel's, which is a -3% reduction.

The complete question is :

Elijah estimates that 54 students will be at the school dance. Angel estimates that 45 students will be. There are actually 48 students at the dance. How much less is the percent error in Angel's estimate than in Elijah's estimate?

-12.5% less

-6.25% less

-3% less

-65 less

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A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.

Therefore, a probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.

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The total cost of dinner for you and the family is $259.457.

Percentage is the parts in a whole of 100. It is denoted using the symbol %.

A number divided by it's whole and then multiplying with 100 gives the percentage of that number.

Restaurant bill = $235.87

You have to leave 20% tip for the waitress.

Amount of tip = 20 % × 235.87

                       = 0.2 × 235.87

                       = 47.174

Restaurant bill with tip = $235.87 + $47.174

                                     = $283.044

You have a coupon for 10% off the price of food.

Amount off = 10% × 235.87

                   = 0.1 × 235.87

                   = 23.587

Total cost of dinner = $283.044 - $23.587

                                 = $259.457

Hence the total cost of dinner is $259.457.

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Answer:

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

Using expression (L/3) / (36t) = L / (108t),  the fraction of the total singing time that all three are singing at the same time is L / (108t).

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and operations that represents a value or a quantity. Expressions can be composed of one or more terms, which are separated by addition or subtraction symbols.

For example, the expression 2x + 3y - 5 represents a value that depends on the values of the variables x and y. The term 2x represents a quantity that is twice the value of x, the term 3y represents a quantity that is three times the value of y, and the term -5 represents a constant value of negative five.

Now,

Let's call the length of the song "L" and the time it takes to sing one line "t". Then, we know that:

Rachel starts singing at t = 0, and she sings for a total of 4L.

Jenny starts singing at t = t, and she sings for a total of 4L.

Angela starts singing at t = 2t, and she sings for a total of 4L.

Since each line of the song is the same length, we can divide the total singing time for each person into three equal parts, one for each line. So, each person sings for a total of 12t.

Now, let's think about when all three people are singing at the same time. This happens during the second line of the first repetition of the song. Rachel is singing the first line, Jenny is singing the second line, and Angela is starting to sing the third line. The total length of time that all three people are singing together is just the length of one line, which is L/3.

Since each person sings for a total of 12t, the total singing time for all three people is 36t. Therefore, the fraction of the total singing time that all three are singing at the same time is:

(L/3) / (36t) = L / (108t)

So, the fraction of the total singing time that all three are singing at the same time is L / (108t).

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while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

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Answer:

n = 81

Step-by-step explanation:

The left angle in the upper triangle and 44° are Alternate angles and congruent.

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

n is an exterior angle of the upper triangle, thus

n = 44 + 37 = 81

Answer:

x = 15/8 or 1 7/8

Step-by-step explanation:

eliminate denominators by multiplying everything by 15 to get:

15(4/5x) - 15(1/3x) = 15(x) - 15(1)

12x - 5x = 15x - 15

7x = 15x - 15

subtract 15x from each side to get:

-8x = -15

divide each side by -8 to get:

x = 15/8 or 1 7/8

Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!