The area of a circle is 615.44 in2. What is the diameter of the circle? Use 3.14 for π.

Answer:

C

Step-by-step explanation:

1/2 is positive unlike the other two so it is obviously last.

Now it's between -3/4 and -2/3

-3/4 = -0.75

-2/3 = -0.67

Since -0.75 < -0.67, -3/4 is first and -2/3 is second.

Answer:

Your answer would be C.

Step-by-step explanation:

An equation f(4)=16 means that when the input value is 4, the output value is 16.

An equation in the form f(4)=16 means that when the input value of the function f is 4, the output value is 16.

For example, if f represents the function that multiplies an input by 4, then f(4)=16 because 4 multiplied by 4 equals 16.

In terms of input and output values, f(4)=16 means that when the input value is 4, the function will return an output value of 16.

Answer:

19.32

Step-by-step explanation:

One way to find the missing number is to get the value of the left side of the equation first.

8.4(1.5 + 2.3) = 31.92

Now we need to take that value and subtract it to the value on the right side of the equation.

31.92 - 12.6 = 19.32

So we have:

8.4(1.5 + 2.3) = 12.6 + 19.32

31.92 = 31.92

Answer:

The required number is 19.32

Step-by-step explanation:

Consider the provided expression.

Let the missing number is x.

[tex]8.4(1.5 + 2.3) = 12.6 +x[/tex]

Add the numbers as shown.

[tex]8.4(3.8) = 12.6 +x[/tex]

Open the parentheses.

[tex]31.92= 12.6 +x[/tex]

Subtract 12.6 from both the sides.

[tex]31.92-12.6= 12.6-12.6 +x[/tex]

[tex]x=19.32[/tex]

Hence, the required number is 19.32

We can make and use the equation: A = 160( 1.03 )^y: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)

A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74

B) 160 * 1.03⁵ = 185.48385 ≈ $185.48

The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.

C) 160(1.03)³⁰

Claire will have $164.80 after 1 year and $169.74 after 2 years in her savings account due to the 3% interest rate. After 5 years, she will have $185.86. The expression for the amount after 30 years is $160 × (1.03)³⁰.

When Claire deposited $160 into her savings account at a 3% interest rate per year, she initiated a process of compound interest. This means each year, the amount of money in her account will increase by 3% of the amount from the previous year. The way to find out how much money she will have after a certain number of years is to multiply the initial amount by 1.03 raised to the power of the number of years.

Interest After 1 Year

After 1 year: $160 × 1.03 = $164.80

Interest After 2 Years

After 2 years: $160 × (1.03)² = $169.74

Interest After 5 Years

After 5 years: $160 × (1.03)⁵ = $185.86. This is calculated using the formula for compound interest: $160 × 1.03 raised to the fifth power.

Interest After 30 Years

To write an expression for the amount of money she will have in 30 years: $160 × (1.03)³⁰. This follows the general formula for compound interest, which is the initial amount times one plus the interest rate raised to the number of years.

Answer:

Is it a map? To me that makes the most logical sense.

Answer:

A map

Step-by-step explanation:

A map has cities, mountains, and water. It doesn't show houses, trees, or fish because it doesn't show specific things.

Answer:

-1

Step-by-step explanation:

to find the axis of symmetry, the formula is X= -b/ 2a

a is the 2 from 2x2

and b is 4 from 4x

then plug them to the formula

-b= -4 because of the negative in -b

and 2a is 2(2)

-4/4 is -1

so x= -1

hope im right

hope it helps

Answer:

The mean is 7.5 and the outliers are 0 and 2

Step-by-step explanation:

To find the mean, add all of the numbers together and divide by the amount of numbers.

2 + 0 + 10 + 8 + 10 + 8 + 8 + 8 + 10 + 10 + 8 + 8 = 90

90/12 = 7.5

To see the outliers, look for the numbers far away from the mean.

answer is the last one D

pls mark brainliest

The answer is D good luck

Answer:

The answer is b

thank you

Answer:

1. The other root is [tex]-2[/tex]

2. c=-106

Step-by-step explanation:

The given equation is [tex]10x^2-33x+c=0[/tex].

If [tex]5.3[/tex] is a solution to the given quadratic equation, then [tex]x=5.3[/tex] must satisfy this equation.

[tex]10(5.3)^2-33(5.3)+c=0[/tex]

[tex]280.9-174.9+c=0[/tex]

[tex]106+c=0[/tex]

[tex]c=0-106=-106[/tex]

We now substitute [tex]c=-106[/tex] into the given equation to obtain;

[tex]10x^2-33x-106=0[/tex].

Comparing to the general equation;

[tex]ax^2+bx+c=0[/tex], we have a=10, b=-33 and c=-106.

Recall the quadratic formula;

[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We now use the quadratic formula to obtain;

[tex]x=\frac{--33\pm \sqrt{(-33)^2-4(10)(-106)} }{2(10)}[/tex]

This implies that;

[tex]x=\frac{33\pm \sqrt{5329} }{20}[/tex]

[tex]x=\frac{33\pm73}{20}[/tex]

[tex]x=\frac{33-73}{20}[/tex] or [tex]x=\frac{33+73}{20}[/tex]

[tex]x=\frac{-40}{20}[/tex] or [tex]x=\frac{106}{20}[/tex]

[tex]x=-2[/tex] or [tex]x=5.3[/tex]

Hence the other root is [tex]-2[/tex]

The answer is-

Exact form: 99/100

Decimal form: 0.99

The answer is A.) 5 because it’s the smaller number

Answer:

[tex]\boxed{\bold{Not \ Statistical}}[/tex]

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"An Antique Collector wants to know the age or a particular chair in a shop"

                                                V

Statistical                       Not Statistical

[tex]\boxed{\bold{>}}[/tex] This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

Answer:

[tex]y=-6(x-1)^{2}-7[/tex]

Step-by-step explanation:

we have

[tex]6x^{2} -12x+y+13=0[/tex]

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]y+13=-6x^{2} +12x[/tex]

Factor the leading coefficient

[tex]y+13=-6(x^{2} -2x)[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]y+13-6=-6(x^{2} -2x+1)[/tex]

[tex]y+7=-6(x^{2} -2x+1)[/tex]

Rewrite as perfect squares

[tex]y+7=-6(x-1)^{2}[/tex]

[tex]y=-6(x-1)^{2}-7[/tex] -----> equation of the parabola in vertex form

The vertex is (1,-7) is a maximum, the parabola open downward

To convert 6x^2 - 12x + y + 13 = 0 to vertex form, follow the steps to complete the square and rewrite the equation as (x - 1)^2 = -y/6 - 7/6.

The equation 6x^2-12x+y+13=0 is in the general form of a quadratic equation. To convert it into the vertex form, we need to complete the square.

First, let's group the x terms together: 6x^2 - 12x = -(y + 13).

Next, let's complete the square: 6(x^2 - 2x) = -(y + 13).

Now, we can add (2/2)^2 = 1 to both sides to complete the square: 6(x^2 - 2x + 1) = -(y + 13) + 6.

Simplifying further, we get 6(x - 1)^2 = -y - 7.

Finally, we can write the equation in vertex form by dividing both sides by 6: (x - 1)^2 = -y/6 - 7/6.

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Answer:

c^5 *d^5

Step-by-step explanation:

Answer:

(- 3, - 5)

Step-by-step explanation:

A translation of 1 unit left, subtract 1 from x- coordinate

A translation of 3 units down, subtract 3 from y- coordinate

The translation rule is

(x, y) → (x - 1, y - 3), hence

(-2, - 2) → (- 2 - 1, - 2 - 3) → (- 3, - 5)

Answer:

t = 4

Step-by-step explanation:

To solve for t, convert the numbers to improper functions. Then multiply by 16/3 on each side.

t ÷ 5 1/3 = 3/4

t ÷ 16/3 = 3/4

t = 16/3 * 3/4

t = 48/12

t = 4

Answer: third option.

Step-by-step explanation:

You know that:

- There are 10⁹ bytes in a gigabyte.

- There are 10⁶  bytes in a megabyte.

Then, to know how many times greater  the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.

Remember the quotient of powers property:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

Then:

[tex]=\frac{10^9}{10^6}=10^3=1,000[/tex] times greater

Answer:

1,000

Step-by-step explanation:

Answer:   3

Step-by-step explanation:

[tex]x^3-27=0\\\\x^3=27\\\\\sqrt[3]{x^3}=\sqrt[3]{27}\\\\x=\sqrt[3]{3\cdot 3\cdot 3} \\\\x=3[/tex]

Answer:

The absolute number of a number a is written as

|a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation

|x|=a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

|x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

or

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality

|x|<2

Represents the distance between x and 0 that is less than 2

picture42

Whereas the inequality

|x|>2

Represents the distance between x and 0 that is greater than 2

picture43

You can write an absolute value inequality as a compound inequality.

$$\left | x \right |<2\: or

−2<x<2

This holds true for all absolute value inequalities.

|ax+b|<c,wherec>0

=−c<ax+b<c

|ax+b|>c,wherec>0

=ax+b<−corax+b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

Sorry If its not what your looking for but i tried

Constraints can be represented by absolute value equations when dealing with inequalities that involve the distance between a variable and a fixed value. Absolute value equations are commonly used to express constraints in mathematical modeling and optimization problems.

Constraints can be represented by absolute value equations when dealing with inequalities that involve the distance between a variable and a fixed value. Absolute value equations are commonly used to express constraints in mathematical modeling and optimization problems. Here's how you can do it:

Representing Constraints with "less than" or "greater than" inequalities:

Suppose you have a variable "x" and a fixed value "a." If you want to impose a constraint that the absolute value of the difference between "x" and "a" is less than some constant "k," you can write it as:

| x - a | < k

For example, if you want to constrain "x" to be within 3 units from 5, you write:

| x - 5 | < 3

Representing Constraints with "less than or equal to" or "greater than or equal to" inequalities:

If you want to impose a constraint that the absolute value of the difference between "x" and "a" is less than or equal to some constant "k," you can write it as:

| x - a | ≤ k

For example, if you want to constrain "x" to be within 2 units from 8, you write:

| x - 8 | ≤ 2

Using absolute value equations allows you to handle situations where the variable needs to be close to a certain value or within a specific range, regardless of whether it is greater or smaller than that value. This flexibility is particularly useful in various mathematical and optimization problems, including linear programming and constrained optimization.

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answer X= 5 over 7 and 2 over 7y step by step explaination add 2y on both sides u cancelled -2y and positive 2y u bring down 7X u get 7X=-5+3 then u divide and u get that answer yw have a nice day mark me brainliest

Answer:

2y=-x7

Love mORgan

Answer:

The graph for the following system of inequalities is attached below.

Step-by-step explanation:

The given system of inequalities is

[tex]x+y>3[/tex]                    .... (1)

[tex]x+y<-4[/tex]                  .... (2)

From inequality (1) and (2) it is clear that (x+y) is greater than 3 adn 3 is not less than -4. So, the given system of inequality has no feasible reason or solution.

The related equation of first inequality is

[tex]x+y=3[/tex]

Put x=0 to find the y-intercept.

[tex]0+y=3\Rightarrow y=3[/tex]

The y-intercept is 3.

Put y=0 to find the x-intercept.

[tex]x+0=3\Rightarrow x=3[/tex]

The x-intercept is 3.

The related equation of second inequality is

[tex]x+y=-4[/tex]

Put x=0 to find the y-intercept.

[tex]0+y=-4\Rightarrow y=-4[/tex]

The y-intercept is -4.

Put y=0 to find the x-intercept.

[tex]x+0=-4\Rightarrow x=-4[/tex]

The x-intercept is -4.

The related lines are dotted line because the sign of inequalities are > and <.

Check each inequality be (0,0).

[tex]0+0>3[/tex]

[tex]0>3[/tex]

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

[tex]0+0<-4[/tex]  

[tex]0<-4[/tex]  

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

The graph for the following system of inequalities is attached below.

Answer:

This is the correct graph on Odyssey :)

Answer:

11 inches

Step-by-step explanation:

17/0.85 * 0.55

20 * 0.55

11.

16 x 14 = 224

[tex]answer = {224cm}^{2} [/tex]

Answer:

option (a)

x - √7x / x - 7

Step-by-step explanation:

Given the expression in the question

  √x / (√x + √7)

 There are 3 steps to follow

Multiply by √x - √7

√x (√x - √7) /  (√x + √7)(√x - √7)

√x .√x - √7.√x / (√x + √7)(√x - √7)

a² - b² = (a+b)(a-b)

√x² - √7x / √x² - √7²

x - √7x / x - 7

Answer:

6

Step-by-step explanation:

Area of a triangle: bh/2

4*3/2=6

Answer:

6 units²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = DE = 3 units and

h is the distance from the vertex F to DE = 4 units, hence

A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 units²

Answer: 7 + i

Step by step:

Remove parentheses.

5 + 3i + 2 - 2i

Add 5 and 2

7 + 3i - 2i

Subtract 2i and 3i

7 + i

The sum of the complex numbers (5+3i) and (2-2i) is 7+i. You add the real parts to get 7 and the imaginary parts to get i, then combine them.

Adding two complex numbers: (5+3i)+(2-2i). To perform this addition, we simply add the real parts and the imaginary parts separately. The real parts are 5 and 2, and when we add them together we get 7. The imaginary parts are 3i and -2i, which sum up to 1i (or just i). Hence, the result of the addition of these two complex numbers is 7+i.

To further clarify with an example similar to the student's question: (3+4i) + (−2+7i) = (3 - 2) + (4 + 7)i = 1 + 11i. The process is straightforward—add the real numbers, add the imaginary numbers, and combine them into one complex number.

Answer:

B. There is an association because the value 0.15 is not similar to the value 0.55

Step-by-step explanation:

Based on the above picture, for the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.

The conditions that satisfy whether there exists an association between conditional relative frequencies are:

1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.

2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.

For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

We can conclude that there is an association because the value 0.15 is not similar to the value 0.55

Answer:There is an association because the value 0.15 is not similar to the value 0.55.

Step-by-step explanation:

Answer:

27th

Step-by-step explanation:

Every 4 days=4m

Every 3days=3s

Costco =2c

When does 4m=D=3s?

When m=0=s and when m=3 and s=4

4•3=12=3•4

Can 2c=12? Yes, when c=6

So 12 days from now, mall, store and Costco will all happen.

15+12=27