Write an expression for the sequence of operations.
Subtract 4 from x, double, and add 7.

The instantaneous rate of change of y = √x at x = 2 is √2 / 2.

To find the instantaneous rate of change of y = √x at x = 2, we need to calculate the derivative of the function with respect to x and evaluate it at x = 2.

Taking the derivative of y = √x using the power rule for differentiation, we have:

dy/dx = (1/2) × x^(-1/2)

Now, substituting x = 2 into the derivative expression:

dy/dx = (1/2) × 2^(-1/2)

= (1/2) × √2

= √2 / 2

Therefore, the instantaneous rate of change of y = √x at x = 2 is √2 / 2.

None of the provided options (-1/2, -1/4, -1) are the correct instantaneous rate of change at x = 2.

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Answer:

Hi your question is incomplete attached below is the complete question

answer : p ( X < 725 )  = 0.0116

Step-by-step explanation:

Given data:

Average life of bulbs (μ  ) = 750 hours

standard deviation (б ) = 55 hours

n ( sample size ) = 25

X = 725  

Probability that the mean life of a random sample of 25 bulbs will be less than725 hours

p ( X < 725 ) = p (( X - μ )/ б √n  <  725 - 750 / 55√25 )

                     = P ( Z > - 2.27 )

Hence P ( X < 725 ) = 0.0116  ( using Z-table )

Answer:

The measure of F is C)60

Step-by-step explanation:

YOu have to subtract 116 from 180 an you should get 64. SO 64 is the other angle inside of the trianlge. You add 64 and 56, you get the answer 120. You subtract 120 from 180 and you get the answer 60. The measure of angle F is 60.

Answer:

Step-by-step explanation:

There are three rules in mathematics that help us solve this problem:

So, we have that the angle opposite the vertex to the angle that measures 116 ° must measure the same: 116 °

So, we have two angles of 116°, so we add, 116 + 116 = 232

360 - 232 = 128

The other two opposite angles (of which one is an internal angle of the triangle) add up to 128

Since they are opposite by the vertex, they measure the same, so we divide by two and it gives us the value of each one:

128/2 = 64

So, if we know by the second rule, 64 + 56 + f = 180

We resolve:

120 + f = 180

(120 + f) - 120 = 180 -120

f = 60

Answer: Show the table

Step-by-step explanation:

SHow the table

Answer:

3x

Step-by-step explanation:

8x+8-5x-8

minus like terms

8x+ (-) 5x=3x

+8 -8 = 0

Answer:

x= 0•5

Step-by-step explanation:

x÷2/3=3/4

3/2x=3/4

x= 3/4 ÷2/3

\( \huge \: \tt \green{Answer} \)

Olivia and kieran share ratio 2 : 5

\( \texttt{olivia's share \: of \: money = £42 }= \frac{2}{7} \\ \)

Total Amount of Money = Olivia's share of money × Reciprocal of olivia's share

\( \tt \: = > 42 \times \frac{7}{2} \\ \\ = > 147\)

Kieran's share of Money =

\( = > 147 \times \frac{5}{7} \\ \\ = > \sf{ \pink{£105}}\)

Answer:

14(120)t

Step-by-step explanation:

hopes this helps

The factor of f(x) is (x + 9) and (x - 7+i).

Given that,

polynomial function f(x) has roots -9 and 7 - i.

So we can write this as

x = -9 and x = 7 - i

implies that

x + 9 = 0 and x -7 + i = 0

Therefore the factors of f(x) is (x+9) and (x-7+i).

A factor is a number that divides another number, leaving no remainder.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Polynomial functions are expressions that may contain variables of varying degrees, non-zero leading coefficients, positive exponents, and constants.

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Answer:

37,43,35 should be the answer to your game

Answer: 24

Step-by-step explanation: First of all because the number of data is 15 numbers, you know don't have to divide. Cross out the 1st and last numbers until you get to one number. I got 24

The value of y is 130°

The angles occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Given here:

Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees.

Thus the angle adjacent to the 50-degree angle will be 130

but this angle corresponds to the angle y thus y=130 as corresponding angles are equal when a transversal intersects two parallel lines

Hence, The value of y is 130°

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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we have the quadratic equation

For h=85 ft

substitute in the given equation

Solve the quadratic equation

Using the formula

a=16

b=-175

c=85

substitute

the values of t are

t=10.43 sec and t=0.51 sec

Verify with the graph

using a graphing tool

is ok

the answer is

Answer:

10.06 or 10.56

Step-by-step explanation:

10 + (1 divided by 18) = 10.05555556

Answer: 10.06

Step-by-step explanation:

Number of Std errors away from 0.12 one need to go = 1.227

Standard deviation (or σ) is a measure of how far the data are from the mean. A low standard deviation means that the data are clustered around the mean, and a high standard deviation means that the data are more scattered. Standard deviation shows how the data are distributed. This is a measure of how far each observation is from the mean.

The variance is the mean squared deviation from the mean and the standard deviation is the square root of that number. Both measures reflect the variability of the distribution, but in different units. The standard deviation is expressed in the same units as the original value (minutes, meters, etc.).

A. for 89%  ; critical z value = 1.227

                                     89% = 0.89

Critical z value = 0.89 × 0.14

                         = 1.227

Therefore number of Std errors away from 0.12 one need to go = 1.227

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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So:

Solving the inequality:

Therefore he should bike at least 11 miles on each of the 5 remaining days

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

The volume of a solid with the given dimensions is 8 cm³.

The dimensions of a solid that is 2 cm wide, 2 cm long, and 2 cm high.

The volume of a solid is the measure of how many regions of space is occupied by an object. It is measured by the number of unit cubes it takes to fill up the solid. It is decided by counting the unit cubes in the solid.

The volume of the solid can be solid using length × Width × Height.

That is, 2 × 2 × 2 = 8 cm³

Therefore, the volume of a solid with the given dimensions is 8 cm³.

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The thing that needs to be corrected in the diagram to fix the error is that the third arc should be drawn centered at F.

Given:

Constructing a parallel line to line AB and passing through point P.

To find:

An error occurred in the construction.

The procedure is,

However, the third arc is drawn centered at D. This is wrong.

Therefore, the correct step is that the third arc must be centered at F.

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The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer:

  6                    2.83

    4                   2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Answer:

250 in.

Step-by-step explanation:

SA= 2(LW+LH+WH)

= 2(10*5+10*5+5*5)

= 2(50+50+25)

= 2(100+25)

= 2(125)

= 250

Answer:

-3t ≥39

-3t/-3 ≥39/-3

t≤-13

Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.

Step-by-step explanation:

there ya go this was hard

Answer:

a 720

Step-by-step explanation:

because u use pemdas

Answer:

1)  D

2)  A

Step-by-step explanation: