Find the exact length of the arc intercepted by a central angle on a circle of radius . Then round to the nearest tenth of a unit.

The slope intercept of a line is:

We re-write the equation given:

The graph of this line is shown below:

Answer:

[tex]3x - 14[/tex]

Step-by-step explanation:

-y= -3x+4

-1 because de y no have a number in front

-1y÷-1= -3x÷-1 4÷-1

Answer: 13.1

13.1

Rounded to the nearest 0.1 or

the Tenths Place.

Explanation:

13.134

You rounded to the nearest tenths place. The 1 in the tenths place rounds down to 1, or stays the same, because the digit to the right in the hundredths place is 3.

13.1

When the digit to the right is less than 5 we round toward 0.

13.134 was rounded down toward zero to 13.1

Given:

To find:

Coefficient of determination

Explanation:

The coefficient of determination is also known as the R squared value, which is the output of the regression analysis method.

If the value of R square is zero, the dependent variable cannot be predicted from the independent variable.

So, here the required coefficient of determination is:

Final answer:

Hence, the required coefficient of determination is (B) 0.96.

3x + 8y = -18 -----------------------(1)

6x + 16 y = - 54 ---------------------------(2)

Using elimination method,

multiply equation (1) by 6 and equation (2) by 3

18x + 48y = -108 -----------------(3)

18 x + 48y = 162 -------------------(4)

From this, we can deduce that there is no solution to the system of equations

For the triangle with sides 5, 6 and 9, you have:

5 + 6 > 9

5 + 9 > 6

9 + 6 > 9

9² ≠ 5² + 6²

≠ 25 + 36

≠ 61

Then, it is not a right triangle

For the triangle with sides 4, 8 and 12:

4 + 8 ≥ 12

in this case the triangle inequality is not present

12² ≠ 4² + 8²

Then, it is not a right triangle

For the triangle with sides 7, 8 and 17:

7 + 8 < 17

in this case the triangle inequality is not present

17² ≠ 8² + 7²

Then, it is not a right triangle

EXPLANATION

If Hunter has $300 in savings and the interest rate is 8%, compounded annualy, we can apply the following equation:

Where, P=Principal=300, r=rate (in decimal form) = 8/100 = 0.08, n=number of compounded times = 1 and t = time = 3

Substituting terms:

Adding numbers:

Computing the powers:

Multiplying numbers:

In conclusion, there will be 378.00 in three years

The length of segment AB as required in the task content is; 36.

It follows from the task content that the length of the line segment AB which is a side of the square ABCD is to be determined.

Since the perimeters of triangle EFG and square ABCD are equal as given;

Let the length of segment AB = x.

Therefore, EF = x + 12.

Therefore, the perimeter of the equilateral triangle = 3(x +12).

While the perimeter of square ABCD is; 4x.

Therefore, since the perimeters are equal;

3(x + 12) = 4x

3x + 36 = 4x

36 = x.

On this note, thee Length of line segment AB is; 36.

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The value of the unknown angle is as follows;

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, the angle 4 can be found as follows:

∠4 = 8x + 6 (alternate angles)

Hence,

8x + 6 + 118 = 180(sum of angles on a straight line)

8x = 180 - 118 - 6

8x = 56

divide both sides by 8

x = 56 / 8

x = 7

Therefore,

∠4 = 8(7) + 6 = 56 + 6 = 62 degrees

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Notice that the arc GH has the same measure as the angle GFH, which also has the same measure as the angle EFI since they are vertical angles.

On the other hand, EFI and IFS are adjacent angles, then:

Observe that the measure of the angle EFS is 90°. Since the measure of IFS is 20°, substitute those values into the equation to find the measure of EFI:

Thereore, the measure of GH is 70°.

x² - 20x + 100

Find two numbers, such that its sum gives -20 and its product gives 100

If such numbers exist, this implies that the polynomial is NOT prime

The two numbers are: -10 and -10

Replace the coefficient of x with the two numbers

x² - 10x -10x + 100

x(x-10) - 10(x - 10)

(x-10)(x-10)

(x-10)²

Therefore, the correct option is A.

x² - 20x + 100 = (x-10)²

Answer: 35 percent chance

Step-by-step explanation: 7+13=20 20x5=100 7x5=35 13x5=65 65+35=100

We will have the following:

Assuming that color repetitions can be made, then total number of selections for collars for the 3 cats will be:

So, there will be a total of 216 possible permutations of choices.

Step 1;

P1 = ( - 4 , -9 )

P2 = ( 6 , 2 )

Step 2:

Step 3:

Step 4:

To get an unitless ratio, both of our quantities have to be in the same units. Let's convert that hour into minutes:

Thereby, our ratio would be:

We are told that each year the value of the laptop is 75% of the value of the value of the previous year. This means that every year the current value of the laptop is multiplied by 0.75. Then if v is the original value of the laptop its value after t years is given by:

We need to find after which year V(t) is equal to 500 or less then we have V(t)≤500 and since the original value of the laptop was 4200 we have v=4200:

We divide both sides by 4200:

Then we apply the logarithm to both sides:

Then we use the property of logarithm regarding exponents:

And we divide both sides by the logarithm of 0.75 (we change the inequality symbol because log(0.75) is negative):

Then we get:

So the laptop's value is less than $500 after 7.398 years.

Since we are requested to write a whole number as the answer and the smallest whole number that is bigger than 7.398 is 8 we have that the answer is 8 years.

Answer:

-5 over 30

Step-by-step explanation:

Answer:

q = -1

Step-by-step explanation:

We are given the inequality [tex]11-\frac{64}{q} > 60[/tex]

We want to find out which value of q is a solution to the inequality. In other words, which value of q makes the statement true?

We can substitute the values given for q into the inequality to see this.

Let's start with q=2.

Replace q with 2.

[tex]11-\frac{64}{2} > 60[/tex]

Divide 64 by 2.

64/2= 32

11 - 32 > 60

Subtract 32 from 60

11-32 = -21

-21 > 60

The inequality reads "-21 is greater than 60", which is false (negative numbers are less than positive ones).

This means q=2 is NOT an answer.

Next, let's try q=-2

[tex]11 - \frac{64}{-2 } > 60[/tex]

64/-2 = -32

11 - - 32 > 60

- - 32 means subtracting a negative, which is the same as adding 32 to 11.

11 + 32 > 60

43 > 60

This is also NOT true (it reads "43 is greater than 60").

So q=-2 is also NOT an answer.

Now, let's try q = -1

[tex]11-\frac{64}{q} > 60[/tex]

[tex]11-\frac{64}{-1} > 60[/tex]

64/-1=-64

11 - -64 > 60

11 + 64 > 60

75 > 60

This reads "75 is greater than 60".

This is a true statement, meaning q = -1 IS an answer.

We are technically done, but just to be sure, we can check q=1 as well.

[tex]11 - \frac{64}{q} > 60[/tex]

[tex]11 - \frac{64}{1} > 60[/tex]

11 - 64 > 60

-53 > 60

This reads "-53 is greater than 60", which is false.

So this confirms that q = -1 is the only option that is an answer.

Answer:

(6.9296, 7.8704)

Explanation:

Given:

• Sample Mean = 7.4

• Sample Standard Deviation = 1.2

• n = 25

First, determine the standard error.

At 95% confidence limits, Z=1.96.

Using the formula below:

The limits is calculated below:

At 95%, the confidence limits for the mean breaking strength of cotton thread is (6.9296, 7.8704).

The surface area of the given figure is the sum of the area of the six faces.

Two of them have an area A1:

A1 = 2.5 x 4 ft² = 10 ft²

Other two have an area A2:

A2 = 1.25 x 2.5 ft² = 3.125 ft²

and the other two have an area A3:

A3 = 1.25 x 4 ft² = 5 ft²

Then, the total surface area is:

AT = 2(A1) + 2(A2) + 2(A3)

AT = 2(10 ft²) + 2(3.125 ft²) + 2(5 ft²)

AT = 36.25 ft²

Hence, the total surface area of the given figure is 36.25 ft²

Given:

Rectangle CARD: {length = 2x-5 and width = 6x+10}

Triangle BEST: {length = 10x+3 and width = 4x-7}

To find the differnce, let's first the perimeter of both.

Perimeter of rectangle CARD: 2(length + width)

= 2(2x - 5 + 6x + 10)

= 2(2x + 6x - 5 + 10)

= 2(8x + 5)

= 16x + 10

Perimeter of triangle BEST: 2(length + width)

2(10x + 3 + 4x - 7)

= 2(10x + 4x + 3 - 7)

= 2(14x - 4)

= 28x - 8

Therfore, the difference between both of them is calculated below:

(28x - 8) - (16x + 10)

= 28x - 8 - 16x + 10

= 28x - 16x - 8 10

= 12x - 18

ANSWER:

12x -

Given:

The mass of radioactive follows an exponential decay model

The initial mass = 418 kg

Decreases at a rate = r = 4% per day

So, the general formula for the mass will be:

where: (m) is the mass after (d) days

So, to find the mass after 2 days, we will substitute with d = 2

so,

rounding to the nearest tenth

so, the answer will be mass after 2 days = 385.2 kg

Answer: -$0.26, -$0.7, $0.65, and -$1.6

The number of days = 5

Average price = Total change in price / the number of days

For Stock A

Total change in price = -$1.30

Average price = - 1.30 / 5

Average price = -$0.26

STOCK B

Average change in price = -$0.14

From, Average price = Total price / number of days

Total price = Average price x number of days

Total price = -0.14 x 5

Total price = - $0.7

For stock C

Average price = 3.25 / 5

Average price = $0.65

Stock D

Average price = Total price / number of days

Total price = Average price x number of days

Total price = -0.32 x 5

Total price = - $1.6

The answer are -$0.26, -$0.7, $0.65, and -$1.6

Answer:

A. Rectangle

Step-by-step explanation:

Given:

A deck of 52 playing cards is given.

Required:

Probability of selecting a number card, a red card and an ace.

Answer:

There are 40 number cards.

Therefore, probability of selecting a number card=

There are 26 red cards.

Therefore, probability of selecting a red card=

The probability of selecting an ace =

Final Answer:

The Probabilities of selecting a number card, a red card and an ace are,

respectively.

you need to subtract 7 in each section of the inequality is

-7< x<2

-7< x and x<2

The confidence interval depends on the margin of error. When finding the margin of error, the z score corresponding to the 95% confidence level would be multiplied by the square root of the product of the estimated proportion of success and failure divided by the sample size. The greater the sample size, the smaller thie value that would be gotten from this operation. The smaller the sample size, the greater the value that would be gotten from this operation. A greater value would give a bigger margin of error. Thus, the confidence interval would be wider. Hence, the correct option for the sampe size is

A. 40

The y-intercept is located at the coordinate (0, 4) as shown below. Y-intercept is the point where a line or a graph crosses the y-axis.

To determine the better buy you have to calculate how much one package costs in each shop.

1) 6 packages cost $15.00

If you use cross multiplication you can determine how much 1 package costs:

6 packs ______$15.00

1 pack _______$x

Each package costs $2.5

2) 5 packages cost $13.25

5packs_____$13.25

1 pack______$x

Each package costs $2.65

For the second purchase each package cost $0.15 more than in the first purchase.

Is best to buy the 6 packages at $15.00

Answer

Step-by-step explanation

Given the expression:

Distributing the square root over the division and evaluating the square root at the denominator: