PLEASE HELP PLEASE HELP

Answer:

4

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

The Area of the two circle is 14.13 cm square. and  area of the blue section is 14.13 cm square.

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the shape is the sum of the area of the two smaller circle.

The circles have diameter of 3 unit.

Area of a circle = πr²

where: π = 3.14 = pi

D = diameter

r = radius

1. Radius = 3 cm

Now the area of the big circle =  πr²

Area = 3.14 x 3² = 28.26 cm square

2. Radius = 3/2

Area = 3.14 x 3/2² = 7.06 cm square

Area of the two circle = 7.06 + 7.06 = 14.13 cm square

3.  the area of the blue section = the area of the big circle - Area of the two circle

= 28.26  - 14.13

= 14.13

Therefore, the area of the blue section is 14.13 cm square.

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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Answer: B

Step-by-step explanation: Hope this helps:)

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

First analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.

Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let

An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be

A = I( 1 - R%)^t

Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula

A = 0.9 ( 1 - 1.15/100)^60

A = 0.9 ( 1 - 0.0115)^60

A = 0.9 ( 0.9885)^60

A = 0.9 x 0.4995

A = 0.45 grams

Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

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(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Answer:

\( \log_x y = \dfrac{1}{2} \)

Step-by-step explanation:

\( \sqrt{x} = y \)

\( x^\frac{1}{2} = y \)

\( \log_x y = \dfrac{1}{2} \)

Answer:

Step-by-step explanation:

It's given that, The base of a triangle is 1 cm more than the height

Let's assume height of the triangle be x and base of the triangle be 1 + x

Also the area of the triangle is 10 cm².

We know that area of triangle is calculated by,

Putting the values we get ,

\( \frac{1}{2} (1 + x) x = 10 \\ \\ (1 + x)x = 10 \times 2 \\ \\ {x}^{2} + x = 20 \\ \\ {x}^{2} + x - 20 = 0\)

Further solving by factorisation,

\(x^2 + x-20 = 0 \\ \\ x^2 +5x-4x - 20 = 0 \\ \\ x(x+5)-4(x+5)= 0 \\ \\ (x-4) (x+5) = 0 \\ \\ (x-4) = 0 \: or \: (x+5)=0 \\ \\ { \underline{x= 4 \: or \: x = 5 }}\)

Since value can't be negative.

So, x = 4.

Hence, height of triangle x = 4 cm

base of triangle = x + 1

= 4 + 1

= 5 cm

Therefore the Base of traingle will be 5 cm and Height of the triangle will be 4 cm.

Both the inequalities are true when we substitute x = -1 and y = 0, so (-1, 0) satisfies the system of inequalities.

An inequality expresses a relationship between two values, indicating whether one is greater than, less than, or greater than or equal to or less than or equal to the other.

To check whether the point (-1, 0) is a solution of the system of inequalities:

-7x + 3y > -1

5x - 9y > -6

We need to substitute x = -1 and y = 0 into both inequalities and check whether the resulting expressions are true or false:

-7(-1) + 3(0) > -1

==> 7 > -1 (true)

5(-1) - 9(0) > -6

==> -5 > -6 (true)

Both the inequalities are true when we substitute x = -1 and y = 0, so (-1, 0) satisfies the system of inequalities. Therefore, the answer is: option A) Yes.

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Answer: 10 Inches

Step-by-step explanation:

The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

\(\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}\)

Where s is the standard deviation.

n is the sample size.

\(\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}\) are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

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Answer:

3 tanks

Explanation:

• The volume of liquid fertilizer concentrate Sam has = 2 1/4 gallons

• The number of volumes required to mix one tank = 3/4 gallon

In order to determine the number of tanks Sam can mix, carry out the division below:

First, change the mixed fraction to an improper fraction:

Next, multiply each of the numbers by 4/3.

Sam can mix 3 tankfuls.

In an equilateral triangle, each angle of 60 degrees. Then the value of x is 20.8 units, then the correct option is B.

Trigonometry deals with the relationship between the sides and angles of a triangle.

The triangle ΔDEF is an equilateral triangle.

Then each angle is 60 degrees.

Then by the sine rule, we have

\(x = 24 \times \sin 60^o \\\\x = 24 \times 0.866\\\\x = 20.78\approx 20.8\)

The value of x is 20.8 units.

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Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Answer:

Answer down bellow

Step-by-step explanation:

Q's Asked: A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Years of experience Salary

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

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So based on the chart:

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

We can see for each year of experience the "Salary" goes up one thousands constantly. And that makes sense bc as you get used to the work u gradually get better meaning u work better and u also get paid better. ehmm... my bad

----------------------------------------------------------------------------------------------------------

So work side of things based on the chart we see the amount the amount change.  so from

0 to 1 yr

you will be paid $1,150 more.

and from 1 to 2 yrs you will be paid 1110.

and so on.

And btw i got it right on my test !

Pls like and give brainlest

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

The equation would be y = -2x + 1

Step-by-step explanation:

All you have to do is put it in the form y = mx + b where m is the slope and b is the y-intercept (for example, the equation y= 2x + 1 has a slope of 2 and a y-intercept of 1.)

Since you have slope, or m, = -2 and the y-intercept, or b, = 1, the equation would be y = -2x + 1

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Thus, the given function  f(x )= x² will have no inverse, as the function is not valid.

A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g(y), a function g is the inverse of the a function f. Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.

A function f only has an inverse function if there is an only value of x in its domain where f(x)=y for every value of y in its range. This special inverse function is commonly represented by the symbol f⁻¹(x) and is referred to as the "f inverse."

Given function:

f(x )= x²

To find the inverse of the function,

Let y =  x²

write 'x' in terms of 'y'.

Now,

x = ±√y

Thus, this y produces two output. +√y and -√y.

This two outputs shows that the function is not valid.

Thus, the given function  f(x )= x² will have no inverse.

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Complete question:

If f(x )= x² . Then find f⁻¹(x).

In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly

The equation is

As 45 is base amount we used it as y intercect

This means that the length of the scarf after x nights can be represented by the equation y = 4.5 + 5x.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To create an equation that shows the relationship between the number of nights Madelyn spends knitting, x, and the length of the scarf in centimeters, y, we need to consider the information given.

We know that the scarf is currently 4.5 centimeters long, and Madelyn plans to add 5 centimeters per night.

This means that the length of the scarf after x nights can be represented by the equation:

y = 4.5 + 5x

In this equation,

x represents the number of nights Madelyn spends knitting and y represents the length of the scarf in centimeters after x nights.

Thus,

The initial length of the scarf, 4.5 centimeters, is added to the length of the scarf Madelyn knits in x nights, which is represented by the product of 5 and x.

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The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

Check the answers to the questions below

Step-by-step explanation:

a) If \(\mu_1\) is the average learning rate of the 6th graders without background noise level and \(\mu_2\) is the average learning rate of the 6th graders with background noise level

The Null Hypothesis is that the learning rate of the 6th graders is not affected by the background noise level.

Null hypothesis, \(H_0: \mu_1 = \mu_2\)

b) The Alternative Hypothesis is that the learning rate of the 6th graders is affected by the background noise level.

Alternative hypothesis, \(H_a: \mu_1 \neq \mu_2\)

c) Assumptions that must be met about the data before she can correctly use independent t-test

There must be random selection of the 6th graders

That the two groups are normally similar in their learning abilities

The division of students into the two groups should be at random

d) She has to  make these assumptions to prevent bias and inaccuracy of results. If these assumptions are not made, the outcome of the experiment may not reflect the true effect of background noise on the learning of the 6th graders.

She can still get accurate results if she include some bias in the selection to prove a particular result.