A circle has the equation x2+y2+16y−30x=0.
What is the equation of the circle in standard form, the coordinates of its center, and the length of its radius?

The equation of the circle is (x+15)2+(y−8)2=289; the center is at (−15,8), and the radius is 17 units.

The equation of the circle is (x−15)2+(y+8)2=289; the center is at (−15,8), and the radius is 289 units.

The equation of the circle is (x−15)2+(y+8)2=289; the center is at (15,−8), and the radius is 17 units.

The equation of the circle is (x−15)2+(y+8)2=289; the center is at (15,−8), and the radius is 289 units.

Answer:

1) 3x² - 15x + 18

2) y-intercept: 18

Zeros: 2 and 3

3) 12x ; (x - 6)²

4) 16x² - 81; (4x - 9)(4x + 9)

Step-by-step explanation:

3x² - 15x + 18

3(x² - 5x + 6)

3[x² - 2x - 3x + 6]

3[x(x - 2) - 3(x - 2)]

3(x - 2)(x - 3)

x - 2 = 0

x = 2

x - 3 = 0

x = 3

Zeros: 2 and 3

y-intercept: at x = 0

3(0-2)(0-3) = 18

x² - 2(x)(b) + 6²

b = 6

2x(6) = 12x

(x - 6)²

16x² - 81

(4x)² - 9²

(4x - 9)(4x + 9)

Answer:

$9

Step-by-step explanation:

Since he got $27 for moving 3 lawns, you simply divide $27 by 3 to find out how much he earned per lawn. 27 / 3 = 9.

Answer:

27/3=9 so 9 dollars per lawn

Step-by-step explanation:

Answer:

Therefore, the correct options are;

-P(fatigue) = 0.44

[tex]P(fatigue \left | \right drug)[/tex] = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Step-by-step explanation:

Here we have that for dependent events,

[tex]P(A \, and \, B)= P(A)\times P(B\left | \right A )[/tex]

From the options, we have;

[tex]P(fatigue \left | \right drug)[/tex] = 0.533

P(drug) = 0.6

P(drug and fatigue) = 0.32

Therefore

P(drug and fatigue) = P(drug)×[tex]P(fatigue \left | \right drug)[/tex]  

= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)

Therefore, the correct options are;

-P(fatigue) = 0.44

[tex]P(fatigue \left | \right drug)[/tex] = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.

Answer:

Radius: 16cm

Diameter: 32cm

Step-by-step explanation: Diameter 2 times the radius. Pls give me brainliest

Answer:

Radius=16 cm Diameter=32 cm (let me know if it is for some reason incorrect)

Step-by-step explanation:

Diameter (just multiply the radius by 2)=32 cm

Radius (the length from the perimeter to the center)=16 cm

Answer:

-132, -560, -210

Hope this helps!

(Please mark brainliest!)

Answer:

question must be wrong or i read it wrong

Step-by-step explanation:

4x + 116 = 180 ..sum of exterior angles

x = 16

2x - 3y + 4x = 180 ...sum of st. line

3y = 6 * 16 -180

3y = -84....False

Answer:

x^2 - x - 4

Step-by-step explanation:

I'm not sure if this is the answer you're looking for...

Answer:

x2= x + 4 is the answer. Have a great day.

Step-by-step explanation: brainliest please!!

We have been given that the arc of a circle has length 10π and the circumference of the circle is 30π. We are asked to find the measure of the central angle that intercepts the arc.

We will use arc length and circumference of circle formula to solve our given problem.

[tex]l=r\theta[/tex], where,

l = Arc length,

r = radius,

[tex]\theta[/tex] = Central angle that intercepts to arc.

[tex]C=2\pi r[/tex], where C represents circumference of circle.

We can solve for radius using circumference formula as:

[tex]30\pi=2\pi r[/tex]

[tex]\frac{30\pi}{2\pi}=\frac{2\pi r}{2\pi}[/tex]

[tex]15=r[/tex]

Upon substituting arc length and radius in arc length formula, we will get:

[tex]10\pi =15\theta[/tex]

[tex]\frac{10\pi}{15} =\frac{15\theta}{15}[/tex]

[tex]\frac{2\pi}{3} =\theta[/tex]

Therefore, the measure of central angle that intercepts the arc would be [tex]\frac{2\pi}{3}[/tex].

Answer:

D.51

Step-by-step explanation:

I saw this question was already asked and answered so i just gave the answer but if you want the explanation just search your question.

Answer:

I divided 213 and 7 and the answer was 30.4.  So the answer is 30 rafts.

Step-by-step explanation:

Divide the 2 numbers..... 213/7=30.42855714

Round the decimal to the nearest tenth..... 30.4

Round 30.4 to the nearest whole..... 30

I hope I've helped! Please leave a Vote and Thanks!

Final answer:

The smallest number of rafts the water park needs for 213 guests waiting in line is 31.

Explanation:

To determine the smallest number of rafts needed for 213 guests, we divide the total number of guests by the maximum number of people that can ride a raft at one time.

Dividing 213 by 7, we get a quotient of 30 and a remainder of 3.

Since we cannot have a partial raft, we need to add another raft to accommodate the remaining 3 guests. Therefore, the smallest number of rafts the water park needs is 31.

Answer:

bvcxz

Step-by-step explanation:

Answer:

148.35

Step-by-step explanation:

43%of345=148.35

Answer:

The movers will need 3 crib-jacks

Step-by-step explanation:

Since each crib jack can lift 30,000lbs, and without the belongings it only weighs 90,000, which divided by 30,000 equals 3.

Answer:

If the question is asking you to simplify, here is the simplified equation:

-6s+34

Step-by-step explanation:

Distribute the 2 and 4:

6s+10+24-12s

Simplify:

-6s+34

Answer:

A, c, d, F

Step-by-step explanation:

Answer:

(2, 1) (–3, –2) (–3, 4)

Step-by-step explanation:

Answer: A bar graph

Step-by-step explanation: A bar graph helps reperesent numerical data, and is easily organized.

I hope this helps!

Answer: C. (25,10)

Step-by-step explanation:

Answer:

I believe its A. I'm not so sure thought so if its a test don't put it unless you are sure.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

Answer:

y=2.7x

Step-by-step explanation:

Answer:

B I think

Step-by-step explanation:

The lines is represented by,

(D) y - 1 = 5/3 ( x - 3)

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.

As, the solution given:

put x=3

y-1 = 0

y=1

Similarly, x= 6

y-1= 5/3 (3)

y-1 = 5

y=6

Hence, the lines represent y-1 = 5/3 ( x- 3)

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

Answer: the first one is 1.1 and the last one is 1.142

Step-by-step explanation: i just answered the question :))

Answer:

1.1 and 1.142

Step-by-step explanation:

get it right on edge

Answer:

10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation: I GOT IT RIGHT BOIIIII

Answer:

Total Interest at the end of two years will be $320. She will owe a total repayment amount of $4000 plus $320 for a total of $4320.

Step-by-step explanation:

Hope this helps.

Answer

the first one is 30 and the second one is 60

Step-by-step explanation:

Answer:

the first one is 30 and the second one is 60

Step-by-step explanation:

Final answer:

The sample size for the Gallup poll is 1,627 adults. For the 95% confidence interval with a 2.5% margin of error and an engagement rate of 22%, the interval is (19.5%, 24.5%).

Explanation:

The sample size mentioned in the Gallup poll is 1,627 adults. To calculate the 95% confidence interval for the estimated proportion of adults who felt fully engaged with their mortgage provider, we use the provided percentage (22%) and the margin of error (2.5%).

The confidence interval formula is:

Confidence Interval = Estimate ± Margin of Error

In this case, the point estimate is 22% (or 0.22 as a decimal). The margin of error (MOE) is 2.5% (or 0.025 as a decimal).

To find the confidence interval, we subtract and add the margin of error from the point estimate:

Lower limit = 0.22 - 0.025 = 0.195

Upper limit = 0.22 + 0.025 = 0.245

Therefore, the 95% confidence interval in decimal form is (0.195, 0.245). Converting to percentages and rounding to one decimal place, we obtain:

95% Confidence Interval: (19.5%, 24.5%)

The sample size for the Gallup poll is 1,627 adults. 95% confident that the true proportion of all adults who feel fully engaged with their mortgage provider is between 19.5% and 24.5%.

To find the 95% confidence interval, we use the formula for a confidence interval for a proportion, which is given by:

[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \][/tex]

where:

- [tex]\( \hat{p} \)[/tex] is the sample proportion (0.22 in this case),

- Z is the Z-score corresponding to the desired confidence level (1.96 for 95% confidence),

-  n is the sample size (1,627 in this case).

 The margin of error (ME) is calculated by:

[tex]\[ ME = Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}} \][/tex]

Given that the margin of error is 2.5%, we can solve for the standard error (SE) and then use it to find the confidence interval.

[tex]\[ ME = Z \times SE \] \[ 0.025 = 1.96 \times SE \] \[ SE = \frac{0.025}{1.96} \] \[ SE \approx 0.01276 \][/tex]

Now we can find the confidence interval:

[tex]\[ \text{Lower bound} = \hat{p} - ME = 0.22 - 0.025 = 0.195 \] \[ \text{Upper bound} = \hat{p} + ME = 0.22 + 0.025 = 0.245 \][/tex]

Therefore, the 95% confidence interval for the proportion of adults who felt fully engaged with their mortgage provider is approximately (19.5%, 24.5%).

Answer:

B) 20

Step-by-step explanation:

340/17=20

Answer:

f(x) = [tex]3^x[/tex]

Step-by-step explanation:

This doesn't really look like a linear model, so it might be exponential.

Let's write the equation: y = a[tex]b^x[/tex]. Plug in a few values for y and x to find a and b:

9 = a[tex]b^2[/tex]  ⇒  a = 9/b²

27 = a[tex]b^3[/tex]  ⇒  a = 27/b³

Set these equal:

9/b² = 27/b³

9b = 27

b = 3

Plug this in to find a:

a = 9/b² = 9/9 = 1

The equation is:

f(x) = [tex]3^x[/tex]

Answer:

Y = 3^X

Step-by-step explanation:

this is an exponential function

Y = a(b^X)

9 = ab²

27 = ab³

b = 3

9 = a(3)²

a = 1

Answer:

3) x=4      4)x = 9     5) x=5

Step-by-step explanation:

3) first you have to find the inside of the angle. A straight line = 180*

180-(19x+3) = 177-19x

Than you add all the angles up to equal 180.

(177 - 19x) + (11x-2) + (9x+1) = 180

if you simplify this x = 4. You can check your answer by subbing in for x.

4)first you have to find the inside of the angle. A straight line = 180*

180- (17x-23) = 203-17x

Than add the sides up to equal 180. keep in mind there are 2 of the same angles.

(203-17x)+(7x+2)(2) = 180

Simplify

x=9

5) 180-151=29* this is the inner angle.

(11x-1)+(20x-3)+29=180

31x+25=180

x=5

Answer:

x=4

Step-by-step explanation:

Since this is an equilateral triangle, all the sides are equal

6x = 4x+8 = 3x +12

Using the last 2 parts

4x+8 = 3x +12

Subtract 3x from each side

4x-3x +8 =3x+12-12

x+8 = 12

Subtract 8 from each side

x+8-8=12-8

x = 4

Answer:

how many rubys are there

Step-by-step explanation:

Answer:

Well I do know that there is 2,800mg in 14 carat diamonds

(sorry if this didn't answer your question)