A. Use the Intermediate Value Theorem to locate the root of the equation - 2x - 2 = 0 between two consecutive integers. First, we need to find a value where x < 0 and a value where x > 0, so we can use IVT to prove that a root exists: let f(x) = 23 - 21 - 2 f(1) = (1)' - 2(1) - 2 = -1<0 f(2)= (2)* - 2(2) - 2 = 2 > 0 Since, f(1) < 0 and f(2) > 0 we can say that: By IVT, 30 € (1,2)/(c) = 0 Proving that f(x) has a root within (1, 2)

your answer should be

2 and 10

Answer:

Does not lie

Step-by-step explanation:

The equation of the circle is

\( {(x + 7)}^{2} + {(y - 4)}^{2} = 25\)

If we substitute x=-11, and y=2, we get that:

\( {( - 11 + 7)}^{2} + {(2 - 4)}^{2} = 25 \\ {4}^{2} + {2}^{2} = 25 \\ 20 = 25\)

Which is false, meaning it does not lie on the circle

Answer:

D: 160

Step-by-step explanation:

Fifth graders read 68, which is easy to see.  Fourth graders read between 48 and 52, the bar appears to be directly in the middle of the two lines, so we say they read 50.  Third graders read between 40 and 44, again the bar appears to be directly in the middle so we say they read 42.

42+50+68=160

Answer:

160

Step-by-step explanation:

If you have any questions about the problem, you should ask your teachers or parents, trust me, you will appreciate their help later. Also, the bar graph is adding the total books read so you just look at the bar graph for anything between two seperate, values subtract these two values by each other.

Answer: 113.1

2 π r

2 π 18

113.1 answer not sure if it is right

Step-by-step explanation:

Answer:

i think it is 110

Step-by-step explanation:

sorrt if i am wrong

2x + 5 = 9

= 9-5 = 4

2x = 4

4/2 = 2

2 = x

Therefore the value of x is 4

The effective rate per quarter for an annual interest rate of 9% compounded quarterly is approximately 9.37%.

To find the effective rate per quarter when the annual interest rate is 9% compounded quarterly, we can use the formula for the effective interest rate:

Effective Rate = (1 + (Annual Rate / Number of Periods))^Number of Periods - 1

In this case:

Annual Rate = 9%

Number of Periods = 4 (since it's compounded quarterly)

Plugging in these values into the formula:

Effective Rate = \((1 + (0.09 / 4))^4 - 1\)

Calculating this equation will give us the effective rate per quarter:

Effective Rate = \((1 + 0.0225)^4 - 1\)

Effective Rate ≈ 0.0937 or 9.37% (rounded to two decimal places)

Therefore, the effective rate per quarter for an annual interest rate of 9% compounded quarterly is approximately 9.37%.

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The equation of a tangent line can be found by using the point-slope form of a line, where the slope is the rate of change at that point and the point is the coordinates of the point of tangency.

The point-slope form is: y - y1 = m(x - x1) where (x1, y1) is a point on the line, and m is the slope of the line.

It can also be found by using the equation of the curve at the point of tangency and solving for the slope and y-intercept. The equation of a tangent line is usually given in slope-intercept form, with the slope represented by m and the y-intercept represented by b.

It is important to note that this method only works for certain types of functions that are easy to graph and for which you can find the slope and y-intercept by inspection, such as linear or polynomial functions.

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Answer: B

Step-by-step explanation: B is larger by about 9.42 in

Answer:

-4

Step-by-step explanation:

The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.

Answer:

Slope = -4

Step-by-step explanation:

The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.

The mean/standard error of the sampling distribution of the proportion is 0.0111.

Its root-mean The square root of the mean of the squares of all the values in a series calculated from the arithmetic mean is the square deviation, also referred to as the standard deviation and denoted by the symbol.

The standard deviation reveals the degree of data dispersion. It expresses how far away from the mean each observed value is.

Almost 95% of the values in any distribution will be within two standard deviations of the mean. The degree of data dispersion from the mean is described by the term "standard deviation" (or " σ").

The data tend to cluster around the mean when the standard deviation is low; when it is high, the data are more dispersed.

The formula to calculate the standard error of sampling distribution of sample proportion is:

\($ SE(p) =\sqrt{\frac{p(1-p)}{n} }\)

It is given that the bank believes that 8% of people who receive loans will not make payments on time. That is,

Population proportion, p =0.08

Sample size, n= 800

Using the formula defined :

\($ SE(p) =\sqrt{\frac{0.08(1-0.08)}{600} }\)

\($ SE(p) =\sqrt{0.000123}\)

SE(p) = 0.0111

Thus, the mean/standard error of sampling distribution of the proportion is 0.0111.

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Answer:

\(\boxed{\textsf{ The slope of the line is $\bf{\dfrac{3}{2}}$.}}\)

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (3,-2) and (9,-2) .As we know that the slope of the line is given by \(\tan\theta\)

Slope of a line is :-

\(\qquad\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}\)

On using this formula we can find the slope of the line .

Putting the respective values :-

\(\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ 9-3}{2+2} \\\\\sf\implies Slope =\dfrac{6}{4}\\\\\sf\implies\boxed{\pink{\sf Slope = \dfrac{3}{2} }}\)

Answer:

Its zero -w-

Step-by-step explanation:

The value of VT is 13 units and the value of ST is 23.56 units

Consider the following diagram of rectangle RSTU

We know that the diagonals of rectangle bisect each other, intersect at right angles.

For rectangle RSTU,

2RV = RT

But RT = US

So, 2RV = US

2(x + 6) = 5x - 9

2x + 12 = 5x - 9

12 + 9 = 5x - 2x

3x = 21

x = 7

So, RV = 7 + 6

RV = 13 units

But RV = VT

So, VT = 13

Now we find the value of ST using Pythagoras theorem.

RT² = ST² + RS²

ST = \(\sqrt{RT^2 - RS^2}\)

ST = 23.56 units

Thus, VT = 13 and ST = 23.56

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Answer:

1. 12

2. 8

Step-by-step explanation:

\PLEASE MARK BRAINLIEST IT WILL HELP SM

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: \(Perimeter=2(length+width)\)

Putting values and finding w

\(Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35\)

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

The exact values for the given functions at s = -2π are sin(-2π) = 0, cos(-2π) = -1 and tan(-2π) = 0

At s = -2π, the point on the unit circle is located at the angle of -2π radians or 360 degrees (a full counterclockwise revolution).

The values for the circular functions at s = -2π are as follows:

The y-coordinate of the point on the unit circle is the sine value.

At -2π, the y-coordinate is 0, so sin(-2π) = 0.

The x-coordinate of the point on the unit circle is the cosine value.

At -2π, the x-coordinate is -1, so cos(-2π) = -1.

The tangent value is calculated as the ratio of sine to cosine.

Since sin(-2π) = 0 and cos(-2π) = -1,

we have tan(-2π) = sin(-2π) / cos(-2π) = 0 / (-1) = 0.

Therefore, the exact values for the given functions at s = -2π are sin(-2π) = 0, cos(-2π) = -1 and tan(-2π) = 0

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Answer: 100

Step-by-step explanation: because I just got a 10/10

Answer:

$21.54

Step-by-step explanation:

$89.75 x 20% = 17.95

17.95 + $89.75 = 107.7

107.7/5 = $21.54

Answer:

21.54

Step-by-step explanation:

100% -> 89.75

20%-> 17.95

17.95+89.75=107.70

107.70÷5=21.54

Answer:

Step-by-step explanation:

Answer: $8

From the table given, we obtained the below information

Number of cars Money ($)

5 40

10 80

15 120

20 160

Calculate the constant rate of change in dollars per car

For the first given data

The total number of cars washed is 5

The total money to washed the 5 cars is $40

Rate of change in dollars per car = Total amount of money / the total number of cars

Rate of change = 40 / 5

= $8

The same procedure applicable to the rest data

For 10 cars and $80

The rate of change in dollars per car =80/10

= $8

For 15 cars and $120

The rate of change in dollars = 120 / 15

= $8

For 20 cars and $160

The rate of change in dollars per car = 160 / 20

= $8

The constant rate of change in dollars per car is $8

The answer is $8

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

0.980413

Step-by-step explanation:

The table for the deaths and death rate per 100,000 population is attached below ;

73 years fall in the 65 - 74 years category ; with 1958.7 deaths (Female)

Hence, the probability of living another year is :

Number of deaths per 100,000 population ;

P(death) = 1958.7 / 100,000 = 0.019587

Probability of living another year = 1 - P(death)

1 - 0.019587 = 0.980413

Answer:

C. 0.980413

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The correction factor for the adjacent side of a right triangle is the cosine of the given angle (θ)

To find the correction factor for the adjacent side of a right triangle, you need to use the concept of trigonometric ratios. In a right triangle, the correction factor for the adjacent side can be found using the cosine ratio.

Step 1: Identify the given angle (θ) and the hypotenuse length (H).
Step 2: Use the cosine ratio formula: Cos(θ) = Adjacent Side / Hypotenuse (H)
Step 3: Solve for the adjacent side: Adjacent Side = Cos(θ) * Hypotenuse (H)

The correction factor for the adjacent side of a right triangle is the cosine of the given angle (θ). By multiplying the cosine of the angle with the hypotenuse length, you can find the length of the adjacent side.

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In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).

In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.

The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).

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Just plug in one x into the equation at a time. You should get 8 outputs.

Answer:

The x values should be on the opposite of the y values

The mistake he makes is by saying 3/4 + 1/4 = 4/8

The denominators stay the same when adding fractions, and the denominators must be the same value.

So instead, he should have 3/4 + 1/4 = 4/4 = 1

Overall, 5 3/4 + 2 1/4 = 5+2+1 = 8

Answer:

16/2 = 8 inches

Step-by-step explanation: