f(x)=9x³ - x² + 2; f(2)

f(2)=

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.

The formula for calculating the relative rate of inflation is:

Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1

Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:

Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4

Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:

Adjusted Exchange Rate = 0.4 * $0.42 = $0.168

Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:

Exchange Rate in 2010 = $0.42 + $0.168 = $0.588

Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.

Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.

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When 67,000 is rounded to the nearest ten thousand then we get 70,000

When you round to the nearest 10 thousand. Find the number in the 10 thousand place, that would be the  6 in this case, now look at the number to the right of it, if that number is 5 or higher, then your 67,000 becomes 70,000.

If the number to the right of place value is lower than 5 then it would have been rounded to 60,000.

The digits in the thousands, hundreds, tens, and ones should be changed to 0 if the number is less than 5, but the other digits should remain the same. If it is 5 or more, increase the digit in the tens of thousands by 1 and replace the digits in the thousands, hundreds, tens, and ones with 0.

Hence the nearest round of to ten thousand is 70,000.

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Answer:

C. 8

Explanation:

The ones place is where “7” is. The tenths place (in the case is where 5 is) determines what the ones place rounds up to.

Rules for rounding:

5 or above, round the number up.

4 or less, number stays the same.

The one shows 7.538 correctly rounded to the ones place would be C. 8

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The ones place is where “7” is found.

The tenths place (in the case is where 5 is) determines what the ones place rounds up to the value.

Rules for rounding is that 5 or above, round the number up. and 4 or less, number stays the same.

Since ones place is 8.000 and 7.538 can be rounded up to the value 8.

The one shows 7.538 correctly rounded to the ones place would be C. 8

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Answer:

5

Explanation: y-intercepts are just numbers that don't have any variables and they can be found on the y axis.

Answer:

5

Step-by-step explanation:

Rewrite the equation as y=-7x+5.

y=mx+b is slope-intercept form with mx representing slope and b representing the y-intercept.

Answer:

280 minutes

Step-by-step explanation:

2 x 45 = 90

4 x 30 = 120

2 + 4 = 6 (because Judy left 5 minutes early every class)
6x5 = 30 min

90 + 120 = 310

310 - 30 = 280min

Answer:

170 minutes

Step-by-step explanation:

first let's begin by finding how many minutes are the local gym sessions

(45·2) + (4· 30)

90 + 120

210 minutes

now Judy left 5 minutes early during all the 30-minute sessions now this is where the most common mistake lies there was four sessions, so we have to multiple 5 with 4

5 · 4 = 20

And Judy also left 10 minutes early during all the 45-minute sessions   there were two 45- minute session, so we have to multiply

10 ·2 = 20

now let's add the two products together

20 + 20 = 40

40 minutes

now subtract the total minutes from her leaving early minutes

210-40

170 minutes

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

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Answer:

3/8

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

£720

Step-by-step explanation:

100+5 = 105

105% = 756

divide both sides by 105 to find 1%

1% = 7.2

multiply both sides by 100 to find 100%

100% = 720

756/105 X 100 = 720

Answer:

The answer is B :)

Step-by-step explanation:

The closed dot means less than or equal to. That is why b is correct :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

no a, is the answer not b. salamat po

The equation in slope-intercept form that represents the data in the table.

is 90 = 30x + 30.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A table shows the costs for art show participants, including the $30 registration fee.

From the table when x = 0, y = 30, and when x = 2, y = 90.

(0, 30), (2, 90).

We know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (90 - 30)/(2 - 0) = 60/2 = 30.

∴ y = mx + b.

90 = 30x + 30.

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ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

Mean

Step-by-step explanation:

Finding the mean, or the average, of the different weights that were measured, would best estimate the true mass of the solid.

This would find the average mass, which would be the most accurate estimate of the solid's actual mass.

Using the minimum, maximum, and mode will not take into account the other weights that were measured. This makes it much more inaccurate.

So, the correct answer is Mean.

The computation shows that the number of cakes needed for 72 people will be 8 cakes.

From the information, it was stated that Jan is making cakes for her party and five cakes will serve 45 people.

Therefore, the number of cakes will be:

= 45/5

= 9

Therefore, the number of cakes needed for 72 people will be:

= 72/9

= 8

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The results from the observational study can only be classified as correlational or associative, but not causal.

This is because an observational study does not have the same level of control over variables as a double-blind experiment, making it difficult to establish a cause-and-effect relationship between the variables being studied. A double-blind experiment, on the other hand, allows for more rigorous control over variables and can establish a causal relationship between them. Therefore, the results from the observational study should be interpreted with caution and may require further investigation using a double-blind experiment to confirm any causal relationship.

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The type of sampling used in this scenario is A Systematic sampling.

Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.

This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.

Therefore, the type of sampling used in this scenario is A Systematic sampling.

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Complete question is below

To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:

A Systematic sampling

B Stratified sampling

C Cluster sampling

D Convenience sampling

Function f likely had more residuals near the y-axis than function g

A residual is the difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line). It is the vertical distance from the actual plotted point to the point on the regression line.

Given here function g plots the model more accurately than function f thus this can only be when function f has more residuals because g plots the model more accurately.

Hence, Function f likely had more residuals near the y-axis than function g

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Using the four-step process,  f'(1) = 10, f'(2) = 12, and f'(3) = 14.

To identify f'(x), the derivative of f(x), using the four-step process, we can follow these steps:

1: Identify the function.
The given function is f(x) = x^2 + 8x - 6.

2: Apply the power rule.
Differentiate each term of the function separately.
The derivative of x^2 is 2x.
The derivative of 8x is 8.
The derivative of -6 is 0 (constant term).

3: Simplify.
Combine the derivatives obtained in step 2.
So, f'(x) = 2x + 8.

4: Evaluate f'(1), f'(2), and f'(3).
Substitute x = 1, 2, and 3 into the derived equation to identify the respective values.
f'(1) = 2(1) + 8 = 10.
f'(2) = 2(2) + 8 = 12.
f'(3) = 2(3) + 8 = 14.

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Answer:  \(\log_{4}\left(\frac{m^7}{125b^2}\right)\)

================================================

Work Shown:

\(7\log_{4}(m)-3\log_{4}(5)-2\log_{4}(b)\\\\\log_{4}(m^7)-\log_{4}(5^3)-\log_{4}(b^2) \ \ \text{... see note1 below}\\\\\log_{4}(m^7)-\log_{4}(125)-\log_{4}(b^2)\\\\\log_{4}(m^7)-\big(\log_{4}(125)+\log_{4}(b^2)\big) \\\\\log_{4}(m^7)-\log_{4}(125b^2)\ \ \text{... see note2}\\\\\log_{4}\left(\frac{m^7}{125b^2}\right) \ \ \text{... see note3}\\\\\)

-------------------

As for the explanation process to your teacher, you can mention each rule verbally or using symbolic notation as I have done above. In my opinion, the steps in the "work shown" section should be sufficient.

Verbally describing the rule in note2 for instance could go something like "the sum of two logs is the same as the log of the product of the arguments". There is probably a more elegant way to state this rule verbally, so feel free to explore various creative options.

Keep in mind that the logs must be the same base for the log rules to apply. Something like \(\log_{2}(A)+\log_{3}(B) = \log_{2}(A*B)\) is NOT valid.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

0

Step-by-step explanation:

The line is horizontal.

Explanation:

Think of y = -4 as y = 0x+(-4)

We see that the equation matches the form y = mx+b

m = 0 = slope

b = -4 = y intercept

Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.

The classifications are done as follows

6. < 2 : acute angle

7. < ABC : angle on a straight line

8. < 2 = 41 degrees

9. x = 45

In the figure, BE bisects < DBC hence < 2 = < 3 = y

98 + < 2 + < 3 = 180

y + y = 180 - 98

2y = 82

y = 41

In the figure, < WXY = 88 where the adjacent angles are

< WXZ = 4x - 3 and < ZXY = 2x + 1

4x - 3 + 2x + 1 = 88

4x + 2x = 88 + 3 - 1

2x = 90

x = 45

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Answer:

4568

Step-by-step explanation:

10,982 rounded to the nearest hundred is 11,000.

WE know that Rounding some number to a specific value is making its value  (therefore losing accuracy), mostly done for better readability.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right of exact digits.

We need to round  10,982 to the nearest hundredth,

We can see that at the digit in the tens place, which is 8. Since 8 is greater than or equal to 5, we need to round the number up to the next hundred.

10,982 rounded to the nearest thousandth is 1.806.

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Answer:

slope means the bottom I think

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

the 2 lines are parallel and the line going through is a transversal.

because of vertical angles, the x+3 is equal to the angle diagonal to it.

that diagonal angle is equal to the top right one (57˚) by same side interior angle thereom. So intern, x+3 = 57

x = 54

Answer:

a=5

Step-by-step explanation:

The maximum value of the data in the box-and-whisker plot is 75.

A box-and-whisker plot is a standardized representation of statistical data on a plot using a rectangle drawn to represent the distribution of data under five summaries: “minimum”, first quartile [Q1], median, third quartile [Q3], and “maximum.”

The inside vertical line indicates the median value while the lower and upper quartiles are horizontal lines on either side of the rectangle.

Minimum value = 10
Median = 35

Maximum value = 75

Thus, the maximum value, which shows the end of the line, of the data distribution of this box-and-whisker plot is 75.

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Answer:

40.9 - 5y

Step-by-step explanation:

25.6 - 5y + 15.3

40.9 - 5y ## ^ combine like-terms

Answer:

A. $15

B.  x - .25x

C.  $12.50

Step-by-step explanation:

A. .25 x $20 = $5

$20-$5 = $15 discounted price of T-shirt

B. x - .25x

C. x + .25x = $10

1.25x = $10

x = $12.50

The option D is correct

O A. Belonging to a particular region or place