The diameter of a circle is 4 m. Find its area to the nearest tenth.

Answer:

Slope-intercept form is y = mx + b where m and b are the slope and y-intercept respectively. Since we know the values of m and b (-1 and 7) the answer is y = -x + 7.

Answer:

y=-x+7

Step-by-step explanation:

y=-x+7

Answer:

Step-by-step explanation:

Given function:

The vertex is (2, 3)

We know the vertex form:

Substitute coordinates to get:

Compare with given to find out:

Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

To solve the problem we will substitute the value of x in the given function.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

To find the values of the Table

To find the values of y simply substitute the value of x in the function given,

A.) (−8, y)

\(f(x) = y = \sqrt[3]{x}\)

\(y = \sqrt[3]{-8}\\\\y = -2\)

(−8, -2)

B.) (−1, y)

\(f(x) = y = \sqrt[3]{x}\)

\(y = \sqrt[3]{-1}\\\\y = -1\)

(−1,  -1)

C.) (0, y)

\(f(x) = y = \sqrt[3]{x}\)

\(y = \sqrt[3]{0}\\\\y =0\)

(0, 0)

D.) (1, y)

\(f(x) = y = \sqrt[3]{x}\)

\(y = \sqrt[3]{1}\\\\y =1\)

(1, 1)

E.) (8, y)

\(f(x) = y = \sqrt[3]{x}\)

\(y = \sqrt[3]{8}\\\\y =2\)

(8, 2)

The plot of the points on the function is shown in the below image.

Learn more about Functions:

https://brainly.com/question/5245372

Answer:

answer in picture

Step-by-step explanation:

We know that the sum of two numbers is 55. This means that if we add two numbers together, we get 55.

We also know that the smaller number is 21 less than the larger number. This means that the smaller number is 21 units smaller than the larger number.

To find the two numbers, we can use these two pieces of information together.

We can start by writing an equation using the given information:

x + (x - 21) = 55

Here, x represents the larger number and (x - 21) represents the smaller number.

We can simplify this equation by adding x and (x - 21) on one side and then subtracting 21 from both sides:

2x + 21 - 21 = 55 - 21

Simplifying this equation, we get:

2x = 34

Dividing both sides by 2, we get:

x = 17

Therefore, the two numbers are 21 and 17.

Learn more about numbers Visit : brainly.com/question/25734188

#SPJ11

Answer:

the answer is either x= 4 , or it is   9\(x^{2} \\\) - \(x\) - 10

Step-by-step explanation:

Sorry dude, I'm confused a little bit on what to do, but i think one of these is right.

lmk if you get it right, and which one you used

Step-by-step explanation:

sometimes its good to use real numbers

odd numbers under 10 are good

Kiran is older than Mohal

Their ages are consecutive odd integers

so lets make Kiran 9 & Mohal 7

Find Kiran's age = x or 9

if the sum means add

square of Kiran's age means

x^2 or 9^2 or 81

and means +

3 times Mohal's age

3 * y or 7

is means =

64 so...

x^2 + y = 64

important ****

Their ages are consecutive odd integers

if Kiran is x and

mohal is y and

Their ages are consecutive odd integers

then

y + 2 = x

like for example 7 and 9 are consecutive odd integers

and the difference between them is always 2 so

x^2 + y = 64

change x into y by using

y + 2 = x

(y+2)^2 + y = 64

(y+2)(y+2) =

y^2 +4y + 4 + y = 64

y^2 +5y -60 =

Kiran age is 7 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by representing Kiran's age as x.

Since Kiran is older than Mohal,

Mohal's age is x-2 (the previous odd integer).

We know that their ages are consecutive odd integers, so the difference between their ages is 2:

x - (x - 2) = 2

Simplifying, we get:

2 = 2

This is true, so we know that our representation of their ages is correct.

Now we can use the given information to set up an equation:

x² + 3(x-2) = 64

Expanding and simplifying, we get:

x² + 3x - 70 = 0

Now we can solve for x using the quadratic formula:

x = (-3 ± √(3² - 4(1)(-70))) / (2(1))

x = (-3 ± √(289)) / 2

x = (-3 ± 17) / 2

x = 7 or x = -10

Since we know that Kiran is older than Mohal, Kiran's age must be positive. Therefore, Kiran is 7 years old and Mohal is 5 years old.

We can check that this satisfies the given condition:

7² + 3(5) = 49 + 15 = 64

Thus,

Kiran age is 7 years old.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

D

Step-by-step explanation:

Because the first equation is equivalent to 1, and d is equivalent to 1, the rest are incorrect

Answer: See explanation

Step-by-step explanation:

One inch is around 2 11/20 centimeters. Therefore, 3 inches would be:

= 3 × 2 11/20

= 3 × 51/20

= 153/20

= 7 13/20

What fraction of an inch is 1 centimeter?

This will be:

= 1 cm / 1 inch

= 1 ÷ 2 11/20

= 1 ÷ 51/20

= 1 × 20/51

= 20/51 inch

Answer:

2. 13

Step-by-step explanation:

The least number of classes need for all of the students to be registered in a class is 13 since you want all of the stuednts to be registered so no one should be left out. If we do 12*12 (12 students in each class and there are 12 classes), that would only let 144 students take the swimming classes and 8 students would be left out. We don't want that though since we want all of the students to be registered. So let's go to 12*13 (12 students in each class and  there are 13 classes), that would let 156 students take the swimming class. 156>152 so therefore, 13 classes would allow for all 152 students to be registered and it is the least number of classes needed for all the students to be registered in a class (plus you would have 4 seats left for anyone who wants to register in the future but the remainder doesn't matter).  

(a) The equation of motion is x'' - 0.0971x = 0.

(b) The amplitude is 0.667 ft and the period is 11.53 s.

(c) The mass completes 0 complete cycles at the end of 3π seconds.

(d) The mass passes through the equilibrium position heading downward for the second time at 0.669 seconds after it is released.

(a) To find the equation of motion for this system, we can use the formula:

mx'' + kx = 0

Where m is the mass, k is the spring constant, and x is the displacement from equilibrium.

First, we need to find the spring constant, k.

We can use Hooke's Law, which states that the force exerted by a spring is proportional to its displacement from equilibrium:

F = -kx

Where F is the force exerted by the spring, and x is the displacement from equilibrium.

We know that when the mass weighs 64 pounds,

The spring stretches 0.32 feet.

Converting pounds to force using the formula F = mg,

Where g is the acceleration due to gravity (32.2 ft/s²), we get:

F = 64 lb (1/32.2 ft/s²)

  = 1.9888 lb ft/s²

We also know that the displacement from equilibrium is 0.32 feet. Substituting these values into Hooke's Law, we get:

1.9888 lbft/s² = -k 0.32 ft

Solving for k, we get:

k = -6.215 lb/s²

Now we can substitute m and k into the equation of motion and simplify:

mx'' + kx = 0 64 lb

x'' - 6.215 lb/s² x = 0

x'' - 0.0971x = 0

This is a second-order linear homogeneous differential equation with constant coefficients. The general solution is:

x(t) = c1 cos(√(0.0971)t) + c2sin(√(0.0971)t)

Where c1 and c2 are constants determined by the initial conditions.

(b) The amplitude and period of motion can be found from the general solution. The amplitude is the maximum displacement from equilibrium, which is equal to the initial displacement of the mass:

A = 8 in

  = 0.667 ft

The period is the time it takes for one complete cycle of motion, which is given by:

T = 2π /Ω

Where Ω is the angular frequency, which is equal to √(k/m):

Ω = √(6.215 lb/s² / 64 lb)

   = 0.544 rad/s

Substituting this value into the formula for the period, we get:

T = 2π/0.544 s

  = 11.53 s

(c) To find the number of complete cycles completed by the mass in 3π seconds, we can divide the time by the period:

n = (3πs) / (11.53 s/cycle)

  = 0.817 cycles

Since the mass cannot complete a fraction of a cycle, we can say that the mass completes 0 complete cycles at the end of 3πseconds.

(d) To find the time at which the mass passes through the equilibrium position heading downward for the second time,

We first need to find the phase shift, ∅, of the motion. The phase shift is the amount by which the motion is shifted to the right or left from the equilibrium position.

In this case, the motion is shifted to the right by π/2 radians, since the mass is released from a point 8 inches above the equilibrium position.

The general solution for x(t) can be rewritten as:

x(t) = A cos(√(0.0971)t - ∅)

Where A is the amplitude and phi is the phase shift.

Since we know that the mass is heading downward at this point,

we can set x'(t) = -5 ft/s and solve for t:

x'(t) = -A √(0.0971) sin(√(0.0971)t - ∅)

      = -5 ft/s

Solving for t, we get:

t = ∅/√(0.0971) + arcsin(5/(A√(0.0971)))

Substituting in the values for A, ∅, and solving, we get:

t = 0.669 s

Therefore, the mass passes through the equilibrium position heading downward for the second time at 0.669 seconds after it is released.

To learn more about the differential equation is,

https://brainly.com/question/30466257

#SPJ4

Answer:

yes exact oposites almost

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

If a function has a counterpart with the numerator and denominator switched multiplied by -1, then it is perpendicular. Also, here's image proof.

The value of m for the linear equation 5m+2(m-4)=3m is m = 2. The correct option is option A.

What is linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Given linear equation is 5m+2(m-4)=3m

Applying distributive property on 2(m-4):

5m+2m - 8=3m

Subtract 3m from both sides of the equation:

5m+2m - 8 - 3m =0

Add and subtract like terms:

4m - 8 =0

Add 8 with both sides of the equation:

4m = 8

Divide both side by 4:

m = 2

To learn more about  linear equation, click on below link:

https://brainly.com/question/13738061

#SPJ1

Answer:

your option is correct

Step-by-step explanation:

To be two triangles congruent we have the following

option 2, and 3 give angles, but to work they have to be between the two sides, so those options can't be

so the only one is option 1

option  4 is when the triangles can't be congruent

Answer:

a

Step-by-step explanation:

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According  to the question,

The distance between two points is determined by using the distance formula.

\(\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2\)

Then,

The distance between points A (3, -5) and A' (2, -3) is,

\(\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units\)

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

https://brainly.com/question/8069952

Answer:

13.6 units

Step-by-step explanation:

Edge

Jennifer’s conclusion that there is only one solution to this equation is true

From the question, we have the following equation that can be used in our computation:

4x+11=3x−(12+x)

Express properly

This gives

4x + 11 = 3x − ( 12 + x )

Open the brackets of the expression

So, we have the following representation

4x + 11 = 3x − 12 - x

Evaluate the like terms

4x + 11 = 2x − 12

When the coefficients of x are compared, we can see that the numbers are different

This means that there is only one solution to this equation as claimed by Jennifer

Hence, Jennifer’s conclusion  is true

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

Answer:

-33

Step-by-step explanation:

Answer:

-33

Step-by-step explanation:

−5^2 + (−2)^3 =

= -25 + (-8)

= -33

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

Learn more about compound interest visit:

brainly.com/question/14295570

#SPJ11

1.the number of people in the labor force is 38.

2.the unemployment rate in Napielodougou is 5.26%.

3.the participation rate in Napielodougou is 60.32

1. Calculation of the number of people in the labor force: The number of people in the labor force is equal to the sum of employed and unemployed persons.

That is, in Napielodougou, the number of people in the labor force is equal to the number of people who have full-time jobs and part-time jobs, plus the number of people who are jobless but would like to work.

Therefore, the number of people in the labor force is calculated as follows: Number of people in the labor force = Number of full-time jobs + Number of part-time jobs + Number of jobless people who want to work = 25 + 10 + (75 - 25 - 10 - 12 - 10 - 5 - 8 - 2) = 25 + 10 + 3 = 38.

Therefore, the number of people in the labor force is 38.

2. Calculation of the unemployment rate in the village of Napielodougou: The unemployment rate is calculated by dividing the number of unemployed people by the number of people in the labor force and then multiplying the result by 100%.

The number of unemployed persons is the number of jobless people who want to work but could not find a job. Therefore, the unemployment rate in Napielodougou is calculated as follows:

Unemployment rate = Number of unemployed people / Number of people in the labor force × 100% = (75 - 25 - 10 - 12 - 10 - 5 - 8 - 2 - 2) / 38 × 100% = 1 / 19 × 100% = 5.26%.

Thus, the unemployment rate in Napielodougou is 5.26%.

3. Calculation of the participation rate in the village of Napielodougou: The participation rate is calculated by dividing the number of people in the labor force by the total number of working-age people (excluding those under the age of 16).

Therefore, the participation rate in Napielodougou is calculated as follows: Participation rate = Number of people in the labor force / Total number of working-age people × 100% = 38 / (75 - 12) × 100% = 38 / 63 × 100% ≈ 60.32%.

Hence, the participation rate in Napielodougou is 60.32

Learn more about labor force at

https://brainly.com/question/13962639

#SPJ11

Answer:

\(7a^4b^3\)

Step-by-step explanation:

\(49a^4b^3 \\ 21a^4b^5\)

GCF: \(7a^4b^3\)

Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

Answer:

i cant see it...........

Step-by-step explanation:

A graph of the given equation (y= -2(x - 1)² - 4) is shown in the image attached below.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Science, there are different types of graph and these include the following:

In this scenario, we can reasonably infer and logically deduce that the graph of the given equation is a parabolic because it represents or indicates a quadratic equation.

In conclusion, a graph which represents or indicates the given quadratic equation (y= -2(x - 1)² - 4) is shown in the image attached below.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Answer

The height of the plane at that time is 1.1 miles

The distance of the plane's path is 10.1 miles

Explanation

The situation models a right angle triangle as shown below

Using trigonometric ratio,

tan 6° = opposite / adjacent

The opposite side of the triangle is the height of the plane. The distance traveled horizontally is the adjacent side. Therefore,

The height of the plane at that time ≈ 1.1 miles

The hypotenuse of the triangle formed is the distance of the plane path.

Therefore, this distance can be calculated using Pythagoras rule as follows:

The distance of the plane's path = 10.1 miles

The number of heart cakes that were sold at the cake sale was 28

According to the question,

Cost of circular-shaped cake = $7

Cost of heart shaped cake = $5

Total sale = $238

Let the number of circular cakes shaped be x

Since the number of heart cakes was sold twice as many as the circular cake, the number of heart cakes will be 2x

Cost of x circular-shaped cake = $7 * x

Cost of 2x heart shaped cake = $5 * 2x

Total sale = Cost of x circular cake + Cost of 2x heart cake

Thus, we get the following equation,

238 = 7x + 10x

238 = 17x

x = 14

Thus, the number of heart cakes sold was 2x that is 28.

Learn more about Equation:

https://brainly.com/question/28871326

#SPJ1

Answer: 4. ?=18

5. x = 6

Step-by-step explanation:

First put the length in ratio form:

4. 54:? and 24:8 ==> 54:?=24:8

Now put the ratios in division form:

54/? = 24/8

54/? = 3  ==> simplify

? * 54/? = 3*?  ==> multiply by ? on both sides to remove denominator

54 = 3?

54/3 = 3?/3  ==> divide by 3 on each sides to solve for ?

?=18  ==> simplify

5. (6x-1):14 and 15:6

(6x-1)/14 = 15/6

14*(6x-1)/14 = 14 * 15/6  ==> multiply by 14 on both sides to isolate x

6x-1 = 210/6

6x-1 = 35 ==> simplify

6x-1+1 = 35+1 ==> add 1 on both sides to isolate x

6x = 36

6x/6 = 36/6  ==> divide by 6 on both sides to isolate x

x = 6 ==> simplify

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104