find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) (-5,6)

Answers

Answer 1

The equation of the circle with endpoints of a diameter at the points (3, 8) and (-5, 6) is x² + y² + 2x - 14y + 33 = 0.

How to determine the equation of a circle

These are the specified parameters:

Endpoints of a diameter at the points (3, 8) and (-5, 6).

Determine the center point of the circle (a, b).

(a, b) = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

        = ((3 + (-5))/2 , (8 + 6)/2)

        = (-2/2 , 14/2)

        = (-1, 7)

The center point is (-1, 7).

Determine the radius of the circle (r).

[tex]\begin{aligned} r & = \frac{1}{2} \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\r & = \frac{1}{2} \sqrt{(-5-3)^2 + (6-8)^2} \\ r& = \frac{1}{2} \sqrt{(-8)^2 + (-2)^2} \\ r& = \frac{1}{2} \sqrt{64 + 4} \\ r & = \frac{1}{2} \sqrt{68} \end{aligned}[/tex]

Determine of the equation of the circle

(x - a)² + (y - b)² = r²

(x - (-1))² + (y - 7)² = (1/2 √68)²

x² + 2x + 1 + y² - 14y + 49 = 1/4 × 68

x² + y² + 2x - 14y + 50 = 17

x² + y² + 2x - 14y + 50 - 17 = 0

x² + y² + 2x - 14y + 33 = 0

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Related Questions

Write an equation of a line in slope intercept form with a slope of 3/2 that passes through point (4,7).

Answers

Answer:

y

=

3

2

x

+

13

Explanation:

First write it using point-slope form:

y

7

=

3

2

(

x

4

)

Now simplify to slope-intercept:

Add 7 to each side:

y

=

3

2

(

x

4

)

+

7

Distribute

3

2

to each term in the parentheses:

y

=

3

2

x

+

6

+

7

y

=

3

2

x

+

13

hope I helped you:)

Victoria deposited $15,000 into a savings account that earns an annual simple interest rate of 0.2% to the nearest 10th of a year how long will it take for the account to reach 15,500

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

sus

It will take about 16.7 years to reach $15500.

What is the interest rate?

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

Given that, the initial deposited amount is P = $15000, the interest rate is r= 0.2% annually, and the final amount is $15500.

The interest earned is calculated by subtracting the initial amount from the final amount:

15500-15000

=500

Therefore, the interest earned is $500.

Now, the formula for the simple interest is:

interest = P × r × t

Substitute the known values:

500 = 15000 × 0.2% × t

500 = 15000 × 0.2/100 ×t

500 = 30t

t = 500/30

t = 16.7

Hence, It will take about 16.7 years to reach $15500.

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in a regression analysis, a(n) is used to predict a(n) . a. ordinal variable, ratio variable b. independent variable, dependent variable c. nominal variable, independent variable d. response variable, explanatory variable

Answers

In a regression analysis, a(n) is used to predict a(n) is known as option (b).independent variable, dependent variable.

Regression analysis:

In the concept of statistics, the regression analysis is useful to come up with a predictive model consisting of dependent and independent variables. And the R-squared value for a regression equation indicates the percentage of variability in the dependent variable being expressed by the variability in the independent variables.

Given,

Here we need to find the type of variable for  a regression analysis, a(n) is used to predict a(n).

As per the definition of regression analysis, in the given question, we have two variable there are

=> a(n)

After prediction, the predicted value of a(n).

Here the first one is the independent variable because the this value is the based to predict the value of the other one is the dependent variable.

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f(x) = 2x²+ 3x - 14.

Answers

Answer:

Step-by-step explanation:

domain = all real numbers

range = {-121/8,∞)

x-intercepts (2,0)

y-intercepts (0,-14)

vertex = minimum (-3/1 - 121/8)

Answer: Okay so I got,

1) x intercept = (2, 0), (-7/2, 0) and y intercept (0, -14)

2) 'x' equals to..

-Exact Form: 2, -7/2

-Decimal Form: 2, -3.5

Hope this helps!

if the original recipe calls for 50 portions, 6oz each and the new recipe calls for 100 portions at 5oz each, what is the recipe conversion factor?

Answers

By using multiplication and division of integers, it can be calculated that

Conversion factor of the recipe = [tex]\frac{500}{300}[/tex] = 1.6

What is multiplication and division of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem where multiplication and division of integers is required

The original recipe calls for 50 portions, 6oz each

Required yield of the original recipe = 50 [tex]\times[/tex] 6 = 300 oz

The new recipe calls for 100 portions at 5oz each

Required yield of the new recipe = 100 [tex]\times[/tex] 5 = 500 oz

Conversion factor of the recipe = [tex]\frac{500}{300}[/tex] = 1.6

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Can someone help me with this

Answers

Answer:

Step-by-step explanation:

What are you supposed to do?

Anyone know this? Kind of struggling.

Answers

Answer:

It's -5 + 3 basicaly because 2 negatives is one positive. So the answer is -2.

evaluate the summation for the indicated value of the variable. 1(1!) 2(2!) 3(3!) 4(4!) m(m!); m

Answers

The sum of the indicated variable is 23.

What is variable?

A variable is an  alphabet or term that represents an unknown variety or unknown worth or unknown amount. The variables are specially employed in the case of pure mathematics expression or pure mathematics.

MAIN body:

the correct expression is as follows :

1(1!) +2(2!) +3(3!)+ 4(4!) ........+ m(m!)   where m = 3

for m= 3

the expression becomes:

=1(1!) +2(2!) +3(3!)

factorial means we need to multiply the number until it reaches 1.

= 1*1 + 2*2*1 + 3*3*2*1

= 1+ 4+ 18

= 23

Hence the sum of expression is 23.

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6(x−2)=−18

due today

Answers

Answer: -1

Step-by-step explanation: 6x-12=-18

                                                 +12= +12

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

                                                     -6/6=-1

If the nth term of a number sequence is n^2 + 2n,
find the first 3 terms and the 10th term.

Answers

Answer:

3, 8, 15 and 120

Step-by-step explanation:

to find the first 3 terms, substitute n = 1, 2, 3 into the nth term rule

n = 1 : 1² + 2(1) = 1 + 2 = 3

n = 2 : 2² + 2(2) = 4 + 4 = 8

n = 3 : 3² + 2(3) = 9 + 6 = 15

the first 3 terms are 3, 8, 15

to find the 10th term , substitute n = 10 into the rule

n = 10 : 10² + 2(10) = 100 + 20 = 120

if you can notice the difference between 10- and 11-pound weights, which of the following weights could you differentiate from a 100-pound weight?

Answers

If we can notice the difference between 10- and 11-pound weight, we can  differentiate 110-pound weight from a 100-pound weight.

What is weight?

All things close to Earth are constantly subject to the force known as weight. All items are pulled downward toward the Earth's core by the gravity of the planet. On the other hand, weight is a measurement of how much gravity pulls an item downward. The mass of the thing has an impact on this force; the heavier the object, the stronger gravity's pull is. The force of gravity acting on a body is the most typical definition of weight given in introductory physics textbooks. This is sometimes formulated as W = mg, where W is the weight, m is the object's mass, and g is the acceleration due to gravity.

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Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.
​If y = 21 when x = 14, find y when x = 40 .
ur answer should have ,60

Answers

Answer:

see explanation

Step-by-step explanation:

given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 21 when x = 14 , then

21 = 14k ( divide both sides by 14 )

[tex]\frac{21}{14}[/tex] = k , that is

k = [tex]\frac{3}{2}[/tex] = 1.5

y = 1.5x ← equation of variation

when x = 40 , then

y = 1.5 × 40 = 60

A baker makes a cake that requires 44 ounces of ingredients. The ratio of flour to sugar is 6:5. She didn’t like how the cake tasted so for the new cake, she changed the flour to sugar ratio to 7:6. If the amount of ounces she used increased to 91, how many more ounces of sugar did she add to the new cake? ( BE FAST PLEASE)

Answers

The amount of ounces of sugar she added to the new cake is 22 ounces

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total ounces of ingredients in the cake be = 44 ounces

The ratio of flour to sugar is = 6 : 5

So , the amount of flour in 44 ounces = 6x

The amount of sugar in 44 ounces = 5x

And , the equation is

6x + 5x = 44

On simplifying the equation , we get

11x = 44

Divide by 11 on both sides , we get

x = 4

So , the total amount of sugar in 44 ounces of ingredients = 5x

Substitute the value for x = 4 , we get

Total amount of sugar in 44 ounces of ingredients = 20 ounces

And ,

Let the total ounces of ingredients in the new cake be = 91 ounces

The ratio of flour to sugar is = 7 : 6

So , the amount of flour in 91 ounces = 7y

The amount of sugar in 91 ounces = 6y

And , the equation is

7y + 6y = 91

On simplifying the equation , we get

13y = 91

Divide by 13 on both sides , we get

y = 7

So , the total amount of sugar in 91 ounces of ingredients = 6y

Substitute the value for y = 7 , we get

Total amount of sugar in 91 ounces of ingredients = 42 ounces

Therefore , the extra ounces of sugar the baker added to the new cake is =

Total amount of sugar in 91 ounces of ingredients - Total amount of sugar in 44 ounces of ingredients

The extra ounces of sugar the baker added to the new cake is = 42 - 20

Extra ounces of sugar the baker added to the new cake is = 22 ounces

Hence ,

The amount of ounces of sugar she added to the new cake is 22 ounces

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Nancy i making acceorie for the occer team. She ue 566. 28 inche of fabric on headband for 36 player and 3 coache. She alo ue 306. 36 inche of fabric on writband for jut the player. How much fabric wa ued on a headband and writband for each player?

Answers

Using some mathematical operations, we know that each player's headband and wristband are made from 16.18 inches of fabric and 8.63 inches of fabric.

What are mathematical operations?

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are collectively referred to as PEMDAS.

So, given that we've done it:

There are 35 players.

There are two coaches.

The cloth on the headbands measures 598.66 inches in length.

Just for the players, the wristbands include 302.05 inches of fabric.

Each player's headband's fabric length is specified by:

= Total inches/Total number of persons

= 598.66/37

= 16.18 inches

Each player's wristband's fabric length is specified by:

= Total inches/Number of persons

= 302.05/35

= 8.63 inches


Therefore, using some mathematical operations, we know that each player's headband and wristband are made from 16.18 inches of fabric and 8.63 inches of fabric.

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Complete question:

Nancy is making accessories for the soccer team. She uses 598.66 inches of fabric on headbands for 35 players and 2 coaches. She also uses 302.05 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

ab³ (5a²-4ab+b²) multiply

Answers

Answer:  The correct answer is 5a^3b^3 − 4a^2b^4 + ab^5

Step-by-step explanation:

ab^3 (5a^2 − 4ab + b^2)

Multiply together:

(ab^3)*(5a^2 + −4ab + b^2)

(ab^3)*(5a^2) + (ab^3)*(−4ab) + (ab^3)*(b^2)

= 5a^3b^3 − 4a^2b^4 + ab^5

Answer:

[tex]5a^3b^3-4a^2b^4+ab^5[/tex]

Step-by-step explanation:

Given expression:

[tex]ab^3(5a^2-4ab+b^2)[/tex]

Apply the distributive property  a(b - c + d) = ab - ac + ad :

[tex]\implies ab^3 \cdot5 a^2-ab^3 \cdot 4ab+ab^3 \cdot b^2[/tex]

Collect like terms:

[tex]\implies 5aa^2b^3-4aabb^3+ab^2b^3[/tex]

Apply the exponent rule  a = a¹ :

[tex]\implies 5a^1a^2b^3-4a^1a^1b^1b^3+a^1b^2b^3[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 5a^{(1+2)}b^3-4a^{(1+1)}b^{(1+3)}+a^1b^{(2+3)}[/tex]

Simplify:

[tex]\implies 5a^3b^3-4a^2b^4+ab^5[/tex]

josh was preparing a speech about home real estate and wanted to give an idea how home prices had fallen in all seven recognized neighborhoods in his city. he found that the rounded percentage decreases were 3, 3, 5, 6, 7, 7, and 19. why would using the mean, or average, decrease be misleading?

Answers

The mean of the decrease in rounded percentage of home is 7.14 which would used as misleading the about  data as raw data very far away from 7.14.

As given in the question,

Given rounded percentage decrease in home price is:

3, 3, 5, 6, 7, 7, 19

Mean of the rounded percentage

= ( Sum of all the values)/ (Number of values)

= ( 3 + 3 + 5 + 6 + 7 + 7 + 19) / 7

= 50 /7

=7.1428

= 7.14

7.14 is very far away from 3 and 19.

Mean is not representing  the correct information of the home price.

Using mean is misleading the correct information about percentage decrease.

Therefore, value of the mean is equal to 7.14 which mislead the decrease percentage.

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the distance of earth's equator is 4.00x10^4 km. the distance around the moons equator is 6.8x10^3 km. what is the difference between these distances?
HELPPPPPPPPPPPP ASAP!!!!

Answers

The difference between these distances on the Earth is 3.32 × 10⁴.

What is an exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

Given that the distance of earth's equator is 4.00x10^4 km. the distance around the moons equator is 6.8x10^3 km.

The difference will be:

= 4.00x10^4 km - 6.8x10^3 km.

= 3.32 × 10⁴

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(2+8) + 10 ^2 +60 divided 10

Answers

Answer: 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

116

One angle of a triangle measures 75°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answers

well, since a triangle has a total of 180° interior angles, that means 180 - 75 = 105 is leftover for the other two remaining angles.

now, they're in a 2 : 5 ratio, well, let's simply divide 105° by (2 + 5) and distribute accordingly.

[tex]2~~ : ~~5\implies 2\cdot \frac{105}{2+5}~~ : ~~5\cdot \frac{105}{2+5}\implies 2\cdot 15~~ : ~~5\cdot 15\implies \text{\LARGE 30~~ : ~~75 }[/tex]

What number for C would make the equation below a perfect square trinomial.
x^2 +22x+c
(A)121
(B)72
(C)81
(D)96

Answers

The expression x^2 + 22x + c becomes a perfect square trinomial if the value of c is 121, so the correct option is A.

What value of C makes the expression a perfect square trinomial?

A perfect square trinomial is written as:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the expression:

x^2 + 22x + c

We can rewrite the second term in such a way that we get:

x^2 + 2*11*x + c

comparing this with the form of the general perfect square trinomial we can see that:

a = x

b = 11

Then the value of c must be 11^2 = 121

Then we have:

x^2 + 2*11*x + 121 = (x + 11)^2

The correct option is A.

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Colorful wool is being woven into a scarf in cold, damp Ireland. Wool is used for scarves, sweaters, hats, and gloves because it is a good insulator. If wool is a good insulator, what substance would be a good conductor?

A plastic
B fur
C cotton
D metal

Answers

The answer is D metal
Metal dum dum what grade are you in 4th?

A given triangle has vertices at (-3,1) (2,4) and (5,-3) . If the triangle were rotated 180 degrees counterclockwise, the new coordinates would be ?

Answers

The new coordinates when we rotate the triangle counterclockwise are (3, -1), (-2, -4),  (-5, 3).

Define transformations.

A function, f, that maps to itself are known as a transformation, or f: X → X. The transformation results in the pre-image X becoming the picture X. This transformation can utilize any operation, or a combination of operations, including translation, rotation, reflection, and dilation.

Given, the triangle vertices (-3, 1) (2, 4), and (5, -3).

When the triangle turned 180 degrees counterclockwise, we must determine the new coordinates;

When we rotate 180 degree counterclockwise, the plane changes not the point.

That is,

(-3, 1) becomes (3, -1)

(2, 4) becomes (-2, -4)

(5, -3) becomes (-5, 3)

Therefore, the new coordinates when we rotate the triangle counterclockwise are (3, -1), (-2, -4),  (-5, 3).

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suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. random samples of batteries are taken for each brand and the following data are recorded: sample 1: n1

Answers

The test statistic of two brands of batteries is -2.177.

How to calculate test statistic?

[tex]n_1[/tex] = size of sample 1 = 16

[tex]n_2[/tex] = size of sample 2 = 21

[tex]\bar{x_1}[/tex] = mean of sample 1 = 210

[tex]\bar{x_2}[/tex] = mean of sample 2 = 225

[tex]\sigma_{1}[/tex] = standard deviation of sample 1 = 20

[tex]\sigma_{2}[/tex] = standard deviation of sample 2 = 23

T test is test for statistical hypothesis that follows t-distribution table under null hypothesis. T test is used when test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. So, for this case we use t test for test statistic,

t = [tex]\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}}[/tex]

t = [tex]\frac{210-225}{\sqrt{\frac{20^2}{16}+\frac{23^2}{21}}}[/tex]

t = [tex]\frac{-15}{\sqrt{\frac{400}{16}+\frac{529}{21}}}[/tex]

t = -15 / 7.0845

t = -2.117

Thus, the two brands of batteries have test statistic result is -2.117

Your question is incomplete, but most probably your full question was

Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded:

Sample 1: n1= 16, X1 = 210, s1= 20

Sample 2: n2= 21, X2 = 225, s2= 23

What is the test statistic assuming unequal population standard deviations?

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write the expression as a sum and/or difference of logarithms. express exponents as factors.log5 a3 b

Answers

Expression of logarithms is log₅a³b = 3log₅a + log₅b.

Given expression is log₅a³b.

We have to express given expression as a sum or difference of logarithms.

We know the logarithmic formulas which is,

logₐ(PQ) = logₐP + logₐQ

logₐ([tex]P^{Q}[/tex]) = QlogₐP

we will use above formulas and solve the given equation.

log₅a³b = log₅a³ + log₅b

log₅a³b = 3log₅a + log₅b

Logarithms, like exponents, have many helpful properties that can be used to simplify logarithmic expressions ans solve logarithmic equation.

The product property states that to miltiply two powers that have the same base, add the exponents.

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An equation in slop intercept form the y intercept -5 the slope -1/2

Answers

Answer:

y=-1/2x-5

Step-by-step explanation:

4. Identify each of the following polygons:

Answers

Answer:

Step-by-step explanation:

1. Square

2. Rhombus

3. Trapezoid

4. Diamond

5. Octogon

6. Triangle

7. Pentagon

8. Hexagon

9. Triangle?

if a cup of diced cucumbers weighs 5.3 ounces, how many pounds of prepped cucumbers will you need for your 140 house salads?

Answers

46 pounds of prepped cucumbers are needed for 140 house salads.

It is given that one cup of diced cucumbers weighs 5.3 ounces.

Also, we know that one pound= 16 ounces or 1-ounce measure 1/16 pounds, we can do it in any way.

Thus, firstly, we will convert the ounces into pounds.

thus, 5.3 ounces= 5.3/16 pounds

Now, we need prepped cucumbers for 140 house salads, According to the given question.

thus, pounds needed for 140 house salads= 5.3/16*140

=>  46 pounds (nearly)

Thus, 140 house salads need nearly 46 pounds of cucumbers.

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Use the grid to help you fill in the blank.

0.9 × ___ = 0.27

Answers

0.63 is the answer to your question

Answer:

0.3

Step-by-step explanation:

0.9 times 0.3 equals 0.27

a shipment of 15 televisions contains 6 regular and 9 deluxe models. the manufacturer failed to mark the model designation on the cartons. if 3 cartons are selected at random, what is the probability that exactly 2 of them are the deluxe model? (round your answer to three decimal places.)

Answers

The probability that exactly 2 of them are the deluxe model =0.474

given that

there is a shipment of 15 televisions contains 6 regular and 9 deluxe models

now 3 cartons are selected at random

C(15,3) =[tex]\frac{15!}{(15-3)!3!}[/tex]

C(15,3) = [tex]\frac{13*14*15}{3*2*1}[/tex]

C(15,3) = 455

2 out of 9 deluxe models be picked

C(9,2) = [tex]\frac{9!}{(9-2)!2!}[/tex]

C(9,2) = [tex]\frac{8*9}{2*1}[/tex]

C(9,2) = 36

Each of these can be matched with 1 of 6 regular models

36 × 6 = 216

the probability that exactly 2 of them are the deluxe model

= [tex]\frac{216}{455}[/tex]

=0.474

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If line segment AB represents 50​%, what is the length of a line segment that is​ 100%?

Answers

Answer:

it would be CD or 50%

Step-by-step explanation:

Other Questions
based on your knowledge of the spectrochemical series, how would expect so as a ligand to compare to nh? find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius cm. what is the maximum volume? the registered nurse (rn) is caring for a client with aplastic anemia who is hospitalized for weight loss and generalized weakness. laboratory values show a white blood count (wbc) of 2,500/mm3 and a platelet countof 160,000/mm3. which intervention is the primary focus in the client's plan of care for the rn to implement? Which of the following sets of words is an example of the way related words are lexically stored in human mental processing, as we understand it?Rain, umbrella, puddle, slicker Which network layer protocol is used if a host without an ip address tries to obtain an ip address from a dhcp server. The separation distance in B is_____ times greater than in A, the force of attraction isthan A. a bathtub filled with 55 gallons of water is drained. the water drains at a rate of 5 gallons per minute. the function f(x)=-5x+55 represents the volume of water in the tub as it drains. how many minutes has passed if the tub still has more than 20 gallons of water remaining in it. The value placed within square brackets after an array name is _______________________.a. a subscriptb. an indexc. always an integerd. all of these T/F:Co-location is less relevant for independent work that does not require ongoing coordination between professionals from different organizations. why does it say there is another instance of valorant when there is not and it won't let me play how to fix Humor helps people cope with stress by __________.a) postponing making difficult decisionsb) stimulating the output of endorphinsc) enhancing the functioning of the immune systemd) positive cognitive shifts that result in positive emotions. Part BThe following figures show four stages that occur during the formation of a one-solar-mass star. Rank these stages based on the central temperature, from highest to lowest.View Available Hint(s) when examining a phylogenetic tree, the tree provides information on shared ancestry but not necessarily on how organisms are similar or different the user hansen7o9 has tried multiple times to access her account but was using the wrong password. she thinks the system has now locked her out. assuming your system employs pam for authentication, which of the following utilities can you use to see if her account was locked out due to failed login attempts? 9. What is the distance between the coordinates (9, -2) and(9,8)? The money m (in ) Noah has to spend each week is his wage w (in ) subtract the tax t (in ) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns 160 a week and pays 55 in tax. Given m || n, find the value of x. a nurse is talking with an older adult patient who unexpectedly mentions having trouble sleeping. what tool besides the pittsburgh sleep quality index (psqi) can the nurse use to assess for sleep disorders? adams inc. began the year with $495,000 in the equipment account. during the year they sold equipment that had originally cost $50,000 for $20,000. the ending balance in the equipment account was $650,000. which of the following statements are true? Calculate the molecular mass of sulphur if 35.5 g of sulphur dissolves in 100.0 g of CS2 to produce a solution that has a boiling point of 49.48C.