ten less than a number ​

The equation of a circle is the equation that represents the circle on the coordinate plane

The equation of the circle is \((x +3)^2 + (y -6)^2 = 13\)'

From the attached figure, we have the following parameters:

Start by calculating the radius r using the following distance formula

\(d = \sqrt{(x -a)^2 +(y - b)^2}\)

So, we have:

\(r = \sqrt{(0 --3)^2 +(8 - 6)^2}\)

\(r = \sqrt{9 +4}\)

\(r = \sqrt{13}\)

Square both sides

\(r^2 = 13\)

The equation of the circle is then calculated as:

\((x - a)^2 + (y -b)^2 = r^2\)

Substitute values for a and b

\((x - -3)^2 + (y -6)^2 = r^2\)

This gives

\((x +3)^2 + (y -6)^2 = r^2\)

Substitute \(r^2 = 13\)

\((x +3)^2 + (y -6)^2 = 13\)

Hence, the equation of the circle is \((x +3)^2 + (y -6)^2 = 13\)'

Read more about circle equations at:

https://brainly.com/question/1559324

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

start at 3 1/8

1st teem = 3 1/8

2nd term = 3 1/8 - 3/4

                = 25/8 - 3/4

                = 25/8 - 6/8

                 =19/8

                 = 2 3/8

3rd term = 2 3/8 - 3/4

                = 19/8 - 3/4

                = 19/8 - 6/8

                 =13/8

                 = 1 5/8

4th term = 1 5/8 - 3/4

                = 13/8 - 3/4

                = 13/8 - 6/8

                 =7/8

Step-by-step explanation:

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

More can be learned about area at https://brainly.com/question/15673093

#SPJ1

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

9514 1404 393

Answer:

  240

Step-by-step explanation:

Your calculator can tell you the answer.

__

If you're doing this by hand, it can be convenient to combine the multipliers of 48:

  (2 5/7)·48 +(2 2/7)·48 = (2 5/7 +2 2/7)·48 = ((2+2) +(5/7+2/7))·48

  = (4 +7/7)·48 = 5·48 = 240

Answer:

15

Step-by-step explanation:

Answer: 28

Step-by-step explanation: Im taking the same class here is a photo of the work, divide 56/2 than you get 28

The percentage of pennies is given by the equation A = 40 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage of pennies be represented as P

Now , the equation will be

The total number of coins = 600 coins

The number of pennies = 240 pennies

So , the percentage of pennies = ( number of pennies / total number of coins ) x 100

On simplifying the equation , we get

The percentage of pennies A = ( 240/600 ) x 100

The percentage of pennies A = 0.4 x 100

The percentage of pennies A = 40 %

Hence , the percentage is 40 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ1

Answer:

a) (-1,0) and (3,0)

b) x=1

c) (1, -4)

Step-by-step explanation:

As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!

Answer:

the slope should be 5

Step-by-step explanation:

y = 5x - 10

Answer:

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

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

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

Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

a) The vertex of the graph is \((h,k) = (0, 31)\), b) \(a = -16\), c) The equation of the parabola is \(f(t) = -16\cdot t^{2}+31\).

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is \((h,k) = (0, 31)\).

b) If we know that \((h,k) = (0, 31)\), \(f(t) = a\cdot (t-h)^{2} + k\) and \((t,f(t)) = (1,15)\), then the value of \(a\) is:

\(f(t) = a\cdot (t-h)^{2} + k\)

\(15 = a\cdot (1-0)^{2}+31\)

\(15 = a\cdot 1 + 31\)

\(a = 15-31\)

\(a = -16\)

c) The equation of the parabola is \(f(t) = -16\cdot t^{2}+31\).

Answer:

Sardar has a 29% chance of inheriting at least some money.

Step-by-step explanation:

Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:

(1/3 + 1/4) / 2 = X

(0.333 + 0.25) / 2 = X

0.58333 / 2 = X

0.29 = X

Therefore, Sardar has a 29% chance of inheriting at least some money.

Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.

This can be found by the formula:

= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money

Solving gives:

=  1/4 + 1/4 - (1 / 4 x 1 / 4 )

= 1/2 - 1/16

= 0.4375

Find out more on probabilities at https://brainly.com/question/24756209.

Answer:

Common ratio (r) = √7

Step-by-step explanation:

For a geometric sequence the next term divided by the one before it gives you the common ratio. (that isn't always applicable)

so 5√7 / 5 = √7

Answer:

4x^2-22x+30

=2(2x^2 - 11x + 15)

=2(2x^2 -6x -5x +15)

= 2 { 2x(x-3) - 5(x-3) }

= 2 (x-3) (2x - 5)

Step-by-step explanation:

Hey, there!!!

The answer is option B

here, we have;

=4x^2-22x+30

=4x^2-(10+12)x+30

= 4x^2-10x-12x+30

now, taking common,

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

= 2(x-3)(2x-5).

Hope it helps

The calculated value of the  length of the arc JK is 35π/12

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

central angle = 75 degrees

Radius = 7

Using the above as a guide, we have the following:

Arc JK = central angle/360 * 2 * π * Radius

Substitute the known values in the above equation, so, we have the following representation

JK = 75/360 * 2 * π * 7

Evaluate

JK = 35π/12

Hence, the length of the arc JK is 35π/12

Read more about arc lengths at

brainly.com/question/16552139

#SPJ1

Complete question

Find the indicated measure. Length of JK

See attachment

Answer:

here,

4×35=n×10

140=10n

140/10=n

n=14

Hope this helps you!

Answer:

See below.

Step-by-step explanation:

4     n

_ =  _

10   35

You cross multiply. You get 140=10n.

140=10n

_        _

10      10

n=14

You have your answer. ✌️

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

for more questions on down payment

https://brainly.com/question/1698287

#SPJ8

Answer: D

Step-by-step explanation:

Fits the definition

Answer:

94.85 rounded to the nearest tenth is 94.9

Thus, the mass is increasing at a rate of 0.15625 kg per hour, and the mass on this day is 4.5 kg.

Let's consider a general formula for finding the rate of increase:Rate of increase = k x original valueHere, k is a constant that represents the rate of increase per unit of time, and the original value is the initial value of the quantity being measured.

For example, if the original value is 3.2 kg and the rate of increase is 0.5 kg per hour, we can use the formula to calculate the mass at any time t as follows: Mass at

time t = 3.2 + (0.5 x t)

where t is the time elapsed in hours.In order to find k, we need to know the rate of increase and the original value.

Once we have these values, we can rearrange the formula to solve for

k:k = rate of increase / original value

For example, if the mass is increasing at a rate of 0.5 kg per hour and the original value is 3.2 kg, we can calculate k as follows:

k = 0.5 / 3.2k = 0.15625

To find the rate of increase on a specific day, we need to know how much time has elapsed since the original value was measured. Once we have this information, we can plug it into the formula we derived earlier:Mass at time t = 3.2 + (k x t)For example, if 8 hours have elapsed since the original value was measured, we can calculate the mass on that day as follows:

Mass at time t = 3.2 + (0.15625 x 8)

Mass at time t = 4.5 kg

For such more question on original value

https://brainly.com/question/3796282

#SPJ8