Verify that the intermediate value theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f(x) = x2 4x 2, [0, 9], f(c) = 23 c =

Answer:

The second answer is correct.

Step-by-step explanation:

Answer:

Decreasing at an increasing rate

Step-by-step explanation:

graph looks like an arch

right side is going down

right side is going down as x increases

By using the linear function which models the data in the given table, if x = 2, then y is approximately: A. -11.

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

y = -5.9245x + 0.9958

If x = 2, then y is approximately:

y = -5.9245(2) + 0.9958

y = -11.849 + 0.9958

y = -10.8532 ≈ -11.

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Answer:

g = 6 / 3 x 2

Step-by-step explanation:

g = 6 / 3 x 2 because 92 / 2 = 46. 46 x 3 = 138. so / 3 = 46 x 2 = 92

Thus, Erin required 4 gallons of gas to drive 92 miles.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the gallon used by Erin bey and distance traveled be x
Now fuel consumed by Erin is directly proportional to the distance traveled i.e.
y ∝ x
y = ax   - - - - - - (1)
where is the constant

Now put y = 6 and x = 138
6 = a * 138
a = 6/138
a = 0.043
Now put a in equation 1

y = 0.043x

The above expression is a required expression that implies how mush gallons of gas Erin used to travel a certain distance.

Erin needs to drive 92 miles,
Put x = 92 in above expression
y = 0.043 * 92
y = 4 gallon

Thus, Erin required 4 gallons of gas to drive 92 miles.

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The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Using compound interest, the rates per compounding period are given as follows:

a) 0.1273 = 12.73%.

b) 0.0833 = 8.33%

c) 0.0617 = 6.17%

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

The interest rate per compounding period is given as follows:

[tex]\left(1 + \frac{r}{n}\right)^n - 1[/tex]

For item a, the parameters are:

r = 0.12, n = 52.

Hence:

[tex]\left(1 + \frac{0.12}{52}\right)^{52} - 1 = 0.1273[/tex]

For item b, the parameters are:

r = 0.08, n = 104.

Hence:

[tex]\left(1 + \frac{0.08}{104}\right)^{104} - 1 = 0.0833[/tex]

For item c, the parameters are:

r = 0.06, n = 12.

Hence:

[tex]\left(1 + \frac{0.06}{12}\right)^{12} - 1 = 0.0617[/tex]

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Answer:

the answer to your question is 2

Step-by-step explanation:

using distance formula

√(-1-(-3))^2+(-2-(-2))^2

Answer:

2

Step-by-step explanation:

since the y- coordinates are equal, both - 2

then the distance between the points is the absolute value of the difference of the x- coordinates, that is

d = | - 1 - (- 3) | = | - 1 + 3 | = | 2 | = 2

or

d = | - 3 - (- 1) | = | - 3 + 1 | = | - 2 | = 2

The pencil is longer than the pair of scissors by  [tex]2\frac{7}{8}[/tex] inches.

A pencil measures  [tex]8\frac{3}{8}[/tex]  inches.

A pair of scissors measures  [tex]5\frac{1}{2}[/tex]  inches.

We need to find the difference between the measures of a pencil and the scissors.

We see that the pencil measure is greater than the pair of scissors.

A fraction is a part of a whole number. It has two parts - numerator and denominator.

Example: If you cut a cake into three slices each slice is 1/3.

Where 1 = numerator and 3 = denominator.

Four types of fractions:

Unit fraction - when the numerator is 1.

Proper fraction - When the numerator is less than the denominator.

Improper fraction - When the numerator is greater than the denominator.

Mixed fraction - When the fraction contains a whole number with a proper fraction.

Example:  [tex]3\frac{1}{3}[/tex]

The given measure of the pen and the pair of scissors is in mix fraction.

The pencil measure is longer than the pair of scissors measure so,

We will subtract the measure of the pair of scissors from the measure of the pen.

We have,

       =  [tex]8\frac{3}{8} - 5\frac{1}{2}[/tex]

We can write the mix fraction into an improper fraction.

We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.

So,

[tex]8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}[/tex]

= 67/8 - 11/2

= (67-44) / 8

= 23 / 8

Writing in mix fraction.

=  [tex]2\frac{7}{8}[/tex]

Thus the pencil is longer than the pair of scissors by  [tex]2\frac{7}{8}[/tex] inches.

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The coefficient of determination, r, is the amount of variation in the observed values of the response variable that is explained by the regression line.

About Coefficient of Determination:

When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable.

In other words, the coefficient of determination, r, which is more frequently used to refer to the strength of a linear relationship between two variables, is a crucial tool for researchers when undertaking trend analysis.

For illustration, this coefficient of determination might be used to consider the possibility that a woman would give birth to her child on a specific date in the future if she became pregnant on a specific day. This metric's objective in this situation is to determine the relationship between the connected occurrences of conception and birth.

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Answer:

Step-by-step explanation:

6:1 i think

It is known as Statistical Inference.

Statistical Inference

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Answer:

2 x 3 x 3 x 5 x 5 x 5 x 5

Step-by-step explanation:

see picture

If set A shows the statistians and B shows the person who bath regularly then the notation which shows that all statistians bath regularly is A∩B.

Given that A shows the statistians and B shows the person who bath regularly.

We are required to show the sentence that "All statistians bath regularly"in set notation.

We know that set is a collection of things, place,anything which can be measured or denoted as something else.

"∪" shows union means when we put this sign between two sets then the resulting set will contain all the elements of both the sets.

"∩" shows intersection means when we put this sign between two sets then the resulting set will contain all the common elements of both the sets.

Since A represents statistians and B represents people who bath regularly and we require statistians who bath regularly is A∩B.

Hence if A shows the statistians and B shows the person who bath regularly then the notation which shows that all statistians bath regularly is A∩B.

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The extra amount that Mauro has to pay in federal taxes because he won the lottery would grossly amount to $336100.50. Option B

The term tax refers to money that the citizens of a country are mandatorily required to pay to the government from their income. This money is used for the provision of basic amenities for the people of the country.

We are able to understand from all the information provided in the question that that the extra amount that Mauro has to pay in federal taxes because he won the lottery would grossly amount to $336100.50.

Tax paid before lottery is;:

= $4386.25 + [($34500 - $31850) × 0.25]

= $4386.25 + ($2650 × 0.25)

= $4386.25 + $662.50

= $5048.75

Tax paid after lottery is:

= [($1000000 + $34500 - $349700) × 0.35)] + $101469.25

= $239680 + $101469.25

= $341149.25

Tax difference is:

= $341149.25 - $5048.75

= $336100.50

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Missing parts;

Mauro just won $1,000,000 from the lottery! despite his excitement in winning a tremendous amount of money, his brother (who is an accountant) warns him not to spend it all at once and hands him this tax rate schedule for single taxpayers. taxable income federal tax $0-$7,825 10% of amount $7825.01-$31,850 $725.50 plus 15% of amount over 7,825 $31,850.01-$77,100 $4,386.25 plus 25% of amount over 31,850 $77,100.01-$160,850 $15,698.75 plus 28% of amount over 77,100 $160,850.01-$349,700 $39,148.75 plus 33% of the amount over 160,850 $349,700.01 and up $101,469.25 plus 35% of amount over 349,700 using this chart, a taxpayer who makes $58,000 annually (line 3) will have to pay $4,386.25 plus 25% of the differene of 58,000 and 31,850 or 4,386.25 + (0.25)(58,000-31,850) = $10,923.75. before winning the lottery, mauro's annual income was $34,500. use the chart to determine mauro's federal tax before winning the lottery and after winning the lottery. how much extra does he have to pay in federal taxes because he won the lottery?

a. $5,048.75

b. $336,100.50

c. $341,149.25

d. $676,260.76

Step-by-step explanation:

2a -1.28b +2.8 for simplification.

Answer: Read below.

Step-by-step explanation: To recognize the domain of a graph, you have to find out what points does the graph cross the x-axis? For example, consider the equation, y = x. The domain for this graph is all real numbers, or (-∞, ∞). This is because, the graph goes infinitely forever, and eventually hits every single number in the x-axis. This is true for every single linear graph in the form y = mx + b or ax + by = c. However, in a graph that is an inequality, like let's say, x < 4, then there will be an open dot on 4, and the graph will go to the left infinitely, hitting every single number in the negative x-axis eventually. The interval for this would be (-∞, 4).

The range is as easy as the domain to figure out. Instead of all the values that the graph goes on the x-axis, we need to find all the values that the graph goes on the y-axis. Again, for a linear graph in the form y = mx + b or ax + by = c, the range is also (-∞, ∞). For an inequality though, like y ≥ 2, the graph would have a closed plot on 2 in the y-axis, and go infinitely in the direction of the right, hitting every single y value after 2 eventually. The interval would be [2, ∞).

The axis of symmetry can only be found in parabolas. In parabolas, the axis of symmetry is an invisible vertical or horizontal line (depending on if your parabola is sideways or not.) The invisible line cuts through the vertex of the parabola, or the center of the parabola, and splits it into two even and equal pieces. Thus, the axis of symmetry will always be the x-coordinate of the parabola if upwards or downwards, or the y-coordinate of the parabola if sideways.

Hope this helped!

[tex]\textit{sum of all interior angles in a polygon}\\\\ S =180(n-2) \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ S =1620 \end{cases}\implies 1620=180(n-2) \\\\\\ \cfrac{1620}{180}=n-2\implies 9=n-2\implies \underline{11=n} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{sum of all exterior angles in a regular polygon}\\\\ n\theta = 360 \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{angle~in}{degrees}\\[-0.5em] \hrulefill\\ \underline{n=11} \end{cases}\implies 11\theta =360\implies \theta =\cfrac{360}{11}\implies \theta \approx 32.7^o[/tex]

A regular polygon is a figure in which all the sides have the same length that is, they are equal and all the interior angles are of the same measure.

This regular polygon is a hendecagon.

A hendecagon is a polygon that has 9 equal sides.

( n - 2 ) 180° = 1620

As a second step, we divide by 180:

We divide

We change the direction, as the sign is negative, in the change of direction it starts to add.

We add both numbers.

Answer: the measure of the exterior angle of the regular polygon (hendecagon) is 11. ✅

Answer:

10

Step-by-step explanation:

Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

Explanation:

The area of the circle with radius 10 is...

A = pi*r^2

A = pi*10^2

A = 100pi

The surface area of the sphere with radius 5 is...

SA = 4pi*r^2

SA = 4pi*5^2

SA = 100pi

Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.

By using the compound interest model, the initial deposit required to receive $ 5 000 every 6 months is $ 125 000.

In this problem we must apply the compound interest model, which represent a periodic accumulation of interest according to the following formula:

C' = C · (1 + r/100)ˣ     (1)

Where:

If we know that x = 1, r = 4, C = x and C' = x + 5 000, then the initial deposit is:

x + 5 000 = x · (1 + 4/100)

x + 5 000 = 1.04 · x

0.04 · x = 5 000

x = 125 000

By using the compound interest model, the initial deposit required to receive $ 5 000 every 6 months is $ 125 000.

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Answer:

Step-by-step explanation:

overall the answer is wrong i say it is the first one  

Answer:

The first one is theost plausible because root 16 is 4, 30 + 4 is 34, the actual answer is 25.38

The solution of the given equation is :

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ

So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1

-2cos2θ - cosθ + 1 = 0

2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)

(2cosθ - 1)(cosθ + 1) = 0 (taking common)

cosθ = 1/2 or cosθ = -1 (on equating it to zero)

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

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If a, b and c vectors are in cyclic order , the scalar product is equals to  zero which makes Option C to be correct.

A vector  can be regarded as quantities that posses both magnitude and a direction this is the opposite to scalar quantity which posses just the magnitude without any direction.

Geometrically,  the  vector can be described as the  line segment,  having its  length as  the magnitude  with the arrow over it  showing direction.

The scalar product  can be gotten with the  multiplication  of the magnitudes of vectors .

Hence, If a, b and c vectors are in cyclic order , the scalar product is equals to  zero .

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CHECK THE COMPLETE QUESTION IN THE ATTACHMENT

[tex]y = - 5x + n \\ [/tex]

[tex] - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7[/tex]

[tex]y = - 5x - 7 \\ 5x + y = - 7[/tex]

Answer:

○ [tex]5x + y = -7[/tex]

Step-by-step explanation:

The formula for forming the equation of a line given a point and a slope is:

[tex]\boxed{y- y_1 = m(x - x_1)}[/tex],

where:

m = slope (-5)

[tex]y_1[/tex] = y-coordinate of point (-2)

[tex]x_1[/tex] = x-coordinate of point (-1).

Substituting these values into the formula:

[tex]y - (-2) = -5(x - (-1))[/tex]

⇒ [tex]y + 2 = -5(x + 1)[/tex]

⇒ [tex]y + 2 = -5x -5[/tex]      [expanding the brackets]

⇒ [tex]y = -5x -5 - 2[/tex]      [subtracting 2 from both sides]

⇒ [tex]y = -5x - 7[/tex]

⇒ [tex]5x + y = -7[/tex]            [adding [tex]5x[/tex] to both sides]

This means that the second option is correct.

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The answers to the questions are:

This defined as the total number of points that a person has been able to cover at a given period. It is calculated by taking the time and the speed of takeoff into consideration. The speed that a person used and the time it took them to get to their destination is what is used to calculate distance

The time it takes for sunlight to reach is given as

distance/speed

778000000000/300000000

=2593.33 * 60

= 43.22 minutes

The formula for distance is given as speed * time

speed = 15km/hr

time = 1 hour

The distance = 15 * 1

= 15 km/hr

If the time is 2*1/2

the distance = 15 / 2.5

= 6 km

Expressed as a fraction we have the following

0.37 = 37/100

0.086 = 86/1000

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Answer:

  (c)  2

Step-by-step explanation:

The dilation scale factor multiplies the distance from the center of dilation.

We are given that QA = 1.25, and that AA' = 1.25. By the segment sum theorem, we have ...

  QA' = QA +AA'

  QA' = 1.25 +1.25 = 2.50

The scale factor multiplies the original distance:

  QA' = k·QA . . . . . . . . . . where k is the dilation scale factor

  2.50 = k·1.25 . . . . . . . . using the known lengths

  2.50/1.25 = k = 2 . . . . divide by the coefficient of k

The scale factor is 2.

Answer:

3/4

Step-by-step explanation:

Fraction of total area of the circle each color occupies in the spinner.

purple = 1/8

red = 1/4

orange = 1/8

yellow = 1/8

green = 1/4

blue = 1/8

Landing on yellow or purple: 1/8 + 1/8 = 1/4

Not landing on yellow or purple = 1 - 1/4 = 3/4

Note that

[tex]\frac{x^2-1}{x^3 - 2x^2 -x+2}=\frac{x^2 -1}{x^2 (x-2)-(x-2)}=\frac{x^2 -1}{(x^2 -1)(x-2)}[/tex]

So, for all [tex]x \neq \pm 1[/tex], [tex]f(x)=\frac{1}{x-2}[/tex].

So, the graph looks like something like as following in the image.