[SCREENSHOT INCLUDED] If f(x) = sqrt(2x+1) then f '(4) =

Answer:

y=-1/2x-9/2

Step-by-step explanation:

check picture

The equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.

To find the equation of a line perpendicular to y = 2x - 3, we need to determine the slope of the original line and then find the negative reciprocal of that slope.

The original line has a slope of 2. The negative reciprocal of 2 is -1/2.

Now, we have the slope (-1/2) and the point (-3, -3) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values:

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

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

Expanding and simplifying:

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

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

y = (-1/2)x - 3/2 - 6/2

y = (-1/2)x - 9/2

Therefore, the equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.

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Answer:

look at the picture i have sent

The probability that they have a high school degree or some college, but have no college degree is 0 .622.

Given,

The highest educational attainment of all adult residents in a certain town.

If an adult is chosen randomly from the town ,

High school or some college = 3316 + 4399 = 7715

Total adults in town = 16819

Therefore we get,  

P(A)=7715/16819

P(A)=0.458

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Answer:

=133

Step-by-step explanation:

1. Divide both sides of the equation by the same term

19=2527

2. Simplify

If you divide numbers you will get:

=133

And that's the answer

I hope this helps     :)

A=a2 there's your answer bro ✔️✔️✔️✔️✔️✔️✔️✔️✅✅✅✅✅✅✅✅✅

SOLUTION

From the question given, it means that the trip to Indiana took

While that of Michigan took

To find how much longer it took to drive to Michigan than Indiana, we simply subtract. This becomes

Changing the mix frac

Answer:

\(9x = 3x - 36 \\ 6x = - 36 \\ x = - 6\)

hopefully this will u...^⁠_⁠^

Answer:

0.0 and equals to :)

Step-by-step explanation: just got it right on edg

Answer:

The person above is right, and deserves brainliest.

0.0

equal to

ED2021

Answer  

Step-by-step explanation:

In millions of people, since 1950

Answer:

Since both terms are perfect squares, factor using the difference of squares formula.

(x+9y)(x−9y)

Answer:

Step-by-step explanation:

x^2-81y^2

=(x)^2-(9y)^2

=(x-9y)(x+9y)

The chi-square statistic of 3.86 is not statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01.

To determine if the obtained chi-square statistic of 3.86 is statistically significant or not, we need to compare it to the critical value obtained from the distribution of chi-square, which is 6.63, at a significance level of 0.01.

In this case, the obtained chi-square value is less than the critical value, indicating that we fail to reject the null hypothesis. This means that the observed frequencies in the sample are not significantly different from the expected frequencies based on the null hypothesis. The alpha level of 0.01 indicates that we are willing to accept a 1% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. Since the obtained chi-square value is not greater than the critical value, we do not have sufficient evidence to reject the null hypothesis.

In summary, the results are not statistically significant at the 0.01 significance level, based on the obtained chi-square statistic of 3.86 and the critical value of 6.63. This means that there is no significant difference between the observed and expected frequencies, based on the null hypothesis.

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Answer:

Step-by-step explanation:

The correct answer is d. All of the above causes changes in the CPI to overstate the true inflation rate.

Check the picture below.

Answer:

TriangleJXP = Triangle HCD

Side XJ = side HC

Side CD = side JP

Side PX = HD

Step-by-step explanation:

Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.

So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.

Hope this helps.

Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

The total amount on which interest will be applied using the previous balance method is;

\(= 1,466.22+28.48+40.00+31.76\\\\ = 1566.46\)

So, interest levied on this is;

\(= 1566.46 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=20.10\)

Now, the total amount on which interest will be applied using the adjusted balance method is;

\(= 1566.46-150.00-115.75\\\\=1300.71\)

So, interest levied on this is;

\(= 1300.71 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=16.69\)

The difference between charges by previous balance method and adjusted balance method is;

= 20.10 - 16.69 = 3.41

Hence, Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

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Answer:

y = 7/2x - 5/2 ; gradient is 7/2

y = 5/3x - 4/3 ; gradient is 5/3

y = -2/3x - 10/3; gradient is -2/3

Step-by-step explanation:

2y = 7x-5

5x - 3y=4

10 - 2x+3y = 0

NOTE: The gradient is the slope

The area of the square is changing at 12√2 + 2√2t square inches/minute when the circle is increasing at 1 in/min.

Let us find the relationship between r and s using the Pythagorean theorem. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.

2r = s√2
Squaring both sides, we get:
4r² = 2s²or s² = 2r²
Dividing by 2 on both sides, we get:
s²/2 = r²
Differentiating both sides with respect to t, we get:
ds²/dt = 2r (dr/dt)
Dividing both sides by 2s, we get:
ds/dt = r (dr/dt) / s

Substituting r² = s²/2,

\(ds/dt = r (dr/dt) / √2s2s ds/dt = r (dr/dt)s ds/dt = (r/2) (dr/dt)2s ds/dt = r (dr/dt) or dA/dt = 2s ds/dt = 2r (dr/dt)\)

Now, substituting r² = s²/2,

dA/dt = 2s ds/dt = 2(√2 s) (dr/dt) = 2(√2) r (dr/dt)

Now, substituting dr/dt = 1 in/min and r = 6 in (since the circle is increasing at 1 in/min, the radius after t minutes is 6 + t),

dA/dt = 2(√2) (6 + t) (1) = 12√2 + 2√2t square inches/minute

Therefore, the area of the square is changing at a rate of 12√2 + 2√2t square inches/minute.

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Answer:

DC and AB

Step-by-step explanation:

I just did it

Answer:

dc and ab

Step-by-step explanation:

Answer: he payed for 9 months

Step-by-step explanation:

500-140= 360      and 360 divided by 40 is 9

Answer:

750.8in squared

Step-by-step explanation:

The area of a regular polygon is one-half times the length of the apothem times the perimeter.

Notice that the formula combines the areas for the six triangles that fit inside the hexagon.

The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.

The interior angles of the hexagon have a measure of 120°

, so the angles at the base of the triangle (and the third angle) have measure 60°

.The height forms a 30°−60°−90°

triangle, which has one leg equal to half of the hexagon side, or 8.5 in.

, and the other leg equal to 8.53–√ in

The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.

Find the perimeter of the hexagon.

P=6(17)

Simplify.

P=102in.

The formula for the area is A=12aP

. Substitute the known values and simplify.

A=12(8.53–√)(102)

=433.53–√in2

Round to the nearest tenth as 750.8 in

Therefore, the area of the regular hexagon with side length 17in.

is A≈7508. in2

.

Answer:

He did not take anything

Step-by-step explanation:

Answer:

Hi there!

Your answer is;

A) her bravery

Explanation:

Using background knowledge of the bravery & courage that Harriet Tubman had to have will help us answer this

Step-by-step explanation:

The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

Answer: Your welcome!

Step-by-step explanation:

14

13

12

11

10

9

8

7

6

O

6

7 8 9 10 11 12 13

10

1415

The answer is 14, 13, 12, 11, 10, 9, 8, 7, 6, O, 6, 7, 8, 9, 10, 11, 12, 13, 10, 14, 15. This is the result of translating the shape by the vector (5, 4). The original shape was shifted 5 units to the right and 4 units down, resulting in the new shape.

Answer:

The answer is 1.62 or 1.6 more lbs of walnuts than almonds

Step-by-step explanation:

You subtract 1.83 from 3.45 and you'll get 1.62 or 1.6 if you're rounding.

Answer:

Step-by-step explanation:

A

Answer:

A She should add 3 negative x-tiles first because that is the only way to isolate the variable. Is the correct answer

Step-by-step explanation:

Hope this helps! :)

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Required:

a. vertex

b.the directions of the parabola.

c. the width of the parabola.

d.the axis of symmetry

e.the x-intercepts

f.the y-intercepts

g.the number of solutions.

h.the standard form of the equation​

Solution:

The vertex form of the equation of a parabola is

where h and k are the coordinates of the vertex.

a) Manipulating this function to the vertex form:

Here, h = 3 and k = 2 . Thus the vertex is at V ( 3, 2 )

b) If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If a is negative, it opens down or to the left.

In this function x is squared and a is equal to -2 . Therefore, the parabola opens downward.

c) The focal width of the parabola is equivalent to 4p. From the vertex form of the equation, we can tell that 4p is 2. Thus, the width of the parabola is 2 units

h) THE STANDARD FORM OF THE EQUATION

d) The axis of symmetry is given by x = -b / 2a

In the above equation of the parabola, a = -2 and b = 12. Thus x = -b / 2a = - (12) / 2 ( -2 ) = -12 / - 4 = 3

The axis of symmetry is x = 3

THE INTERCEPT FORM y = a(x - r)(x - s), where r and s are the x-intercepts on the graph. It tell us if there are two x-intercepts, one x-intercept or no x-intercepts.

e) From the intercept form of the equation of the parabola, we can tell that r = + 4 and s = + 2. Therefore , the x - intercepts of the parabola are at x = 4 and x = 2

f) The y -intercept is the point at which the parabola crosses the y -axis where x is zero. In the given funxction , if we let x be equal to zero then y is :

The y -intercept of the parabola is y = -16 .

g) A parabola can have one, two, or no solutions. The solution of a parabola refers to the points where the graph does intersect with the x-axis. In the given function , there are two points where the parabola intersects the x-axis ( refer to e ) at x = 4 and x = 2. Therefore, the given parabola has two solution.

h) The standard equation of a parabola is

The standard form of the given function is : ( refer to the deriviation above, after c )

Answers:

a) V ( 3, 2 )

b) The parabola opens downward

c) The width of the parabola is 2 units

d) The axis of symmetry is x = 3

e) The x - intercepts of the parabola are at x = 4 and x = 2

f) The y -intercept of the parabola is y = -16

g) The given parabola has two solutions.

h) The standard form of the given function is