A water tank initially contained 105 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute How many minutes have passed, m. when the tank contains 181 liters? Round to the nearest hundredth

The translated function g(x) =  | x - 3 | - 5 shifted 3 units along the positive x-axis and 5 units along the negative y-axis.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A parent function f(x) = | x |.

Now the result of translating f(x) by 5 units in the negative y-direction and 3 units in the positive x-direction g(x) = | x - 3 | - 5.

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Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods

The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.

The number of neighborhoods she can patrol can therefore be found by the formula:

= Number of hours sheriff has / Number of hours required to patrol one neighborhood

= 5/8 ÷ 3/15

= 5/8 x 15/ 3

= 75 / 24

= 3.125 neighborhoods

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The regression equation for this data is y = -6+5x.

Using this regression equation, the value of predicted Y when X=3 is 9.

In the given question, a researcher conducted a number of descriptive statistics for two variables X and Y.

We have to find the regression equation for this data.

Then using this regression equation, we have to find the value of predicted Y when X=3.

We have given that

SP = 15

SSx = 3

My = 4

Mx = 2

B1 = Sp / SSx

B1 = 15/3=5

B0 = My-^B1Mx

B0 = 4-5*2=-6

So, the regression equation for this data is:

y = -6+5x

For x=3, the predicted value of y is

y = -6+5*3

y(predict) = 9

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The write question is given below:

Answer:

dont know need points sorry

Step-by-step explanation:

Answer:

I'm confused on what to answer in this. Edit the question and put the question in it and then I will be able to answer it

Answer:

180 or 1260

Step-by-step explanation:

4*5=20

8*2=16

20+16=36

36*5=180

180*7=1260

sorry it took so long im only in 8th grade but im doing 11th grade classes because im smart i guess

Answer:

Below

Step-by-step explanation:

Area is base ( which is 6 m) times the height ( which is 8m)

6 x 8 = 48 m^2

Factored form: y = (x+1)(x-8)

x-intercept: (-1, 0) and (8, 0)

Axis of symmetry: x = 7/2

Vertex: (7/2, -81/4)

Domain: All real numbers

Range: y ≥ -81/4

Given the quadratic equation expressed as:

Factorize

The x-intercept is the point where y= 0. Substitute y = 0 into the factored form

The axis of symmetry of the equation is given as x = -b/2a where:

a = 1

b = -7

Substitute:

The vertex form of the equation is in the form (x-h)^2+k where (h, k) is the vertex. Rewrite in vertex form:

The vertex of the function will be (7/2, -81/4)

The domain are the independent values of the function for which it exists. The domain of the given quadratic function exists on all real number that is:

The range of the function are the dependent value for which it exist. For the given function, the range is given as:

The speed of the current is 9 miles per hour

Given that: the motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning.

Total time = 5.5 hours

Let s = speed of the current

speed downstream relative to land =  11 + s

speed upstream relative to the land = 11 - s

speed = distance/time

time = distance/speed

upstream time + downstream time = total time

10/11-s  + 10/11+s = 5.5      (find LCM of 11-s and 11+s)

10(11+s) + 10(11-s) /(11-s)(11+s)  = 5.5

110+10s+110-10s /(11-s)(11+s)  = 5.5

220 = 5.5(11-s)(11+s)

220 = 5.5(121 - 11s + 11s - s²)

220 = 5.5(121 - s²)

220 = 665.5 - 5.5s²

5.5c² = 665.5 - 220

5.5c² = 445.5

s² = 445.5/ 5.5

s² = 81

s = √81 = 9

Therefore, the speed of the current is 9 miles per hour

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Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

4 hours.

Step-by-step explanation:

Well we can simply divide 32 by 8 and we get 4 hours:

32 miles ÷ 8 miles = 4 hours

It takes the cyclist 4 hours.

Answer:

  4 hours

Step-by-step explanation:

As every speed limit sign tells you, ...

  speed = miles/hours

Solving for time and using generic distance units, we get ...

  time = distance/speed

Filling in the given values, we have ...

  time = 32 km/(8 km/h) = (32/8) h = 4 h

It takes the cyclist 4 hours to travel 32 km.

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

(0,3.5)

Step-by-step explanation:

midpoint formula :)

The situation best modeled by the equation is 50 more than 24 times a number equals 92 more than the number

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

24x + 50 = 17x + 92

Let x be a real number

So, a situation that can be derived from the equation is that

50 more than 24 times a number equals 92 more than the number

When represented as an equation, we have

24x + 50 = 17x + 92

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The options that are not seen as retirement plan(s) are: II, IV

II. Pension Plan

IV. Traditional IRA

A defined contribution plan is a retirement plan in which the contributions made by or on behalf of the employee are defined, but the ultimate benefit depends on the performance of the investments made with those contributions.

Based on this definition, the retirement plans that are not considered defined contribution plans are:

II. Pension Plan - Pension plans are typically defined benefit plans, where the ultimate benefit is based on a formula that takes into account the employee's salary and years of service, rather than the contributions and investment returns.

IV. Traditional IRA - Traditional Individual Retirement Arrangements (IRAs) are also not defined contribution plans. While they do involve individual contributions, the ultimate benefit is not solely based on the contributions and investment returns, but rather on various factors, such as the individual's age, income, and tax deductions.

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Answer:The symbolism of angel number 1119 is usually related to generosity. It means that you may be a very generous person, but there are people who are ready to abuse your generosity. Angel number 1119 is warning you to be careful because not all people around you have good intentions.

Step-by-step explanation:

Answer:

-7/2 , 8

Step-by-step explanation:

Given, M(-5,9) be x1 , y1

N(-2,7) be x2, y2

Now,

Using mid point formula

x = x1+x2/2 y = y1+y2/2

= -5-2/2 = 9+7/2

= -7/2 = 16/2

= 8

Answer:

-2 | 7

0 | -1

3 | -13

-1 | 3

Step-by-step explanation:

i just did this question

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

By 'ASA' and 'HA' congruence theorems or postulates we get both triangle are congruent.

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to Given that;

In both triangle HIJ and KLM,

IJ ≅ LM

∠J ≅ ∠M

Hence, To Prove:

ΔHIJ ≅ ΔKLM

             Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                   congruence

Therefore, By ASA and HA congruence theorems or postulates we get both triangle are congruent.

triangle

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Answer:

  see below

Step-by-step explanation:

You want the ingredient quantities for several different multiples of the basic recipe.

To fill the table, consider what the column heading is as a multiple of the recipe for 12 people. Use that multiplier for the rest of the numbers in the column.

  \(\begin{array}{ccccc}\text{12 people}&\times2&\times3&\times\dfrac{1}{3}&\times\dfrac{1}{2\vphantom{g_g}}\\\cline{1-5}1\text{ cup}&2&3&\dfrac{1\vphantom{b^b}}{3\vphantom{g_g}}&\dfrac{1}{2}\\3\text{ cups}&6&9&1&1\dfrac{1}{2}\\2\text{ cups}&4&6&\dfrac{2}{3\vphantom{_g}}&1\\\dfrac{1}{2}\text{ cup}&1&1\dfrac{1}{2}&\dfrac{1}{6}&\dfrac{1\vphantom{^b}}{4\vphantom{_g}}\\1\dfrac{\vphantom{^b}1}{3}&2\dfrac{2}{3}&4&\dfrac{4}{9}&\dfrac{2}{3}\end{array}\)

Answer:

Step-by-step explanation:

The decrease in value is ...

  15% of $233,000 = $34,950

The current house value is ...

  $233,000 -34,950 = $198,050

Answer: 27.5

Step-by-step explanation:

.No, the strong negative association does not support the idea that beavers benefit beetles.

The solution is as follows:

The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.

There is a weak negative linear relationship.

Correlation is : -0.916; Slope: -1.286; Intercept: 3.452

The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.

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\(\boxed{\sf I=\dfrac{PRT}{100}}\)

\(\\ \sf\longmapsto I=\dfrac{2000(12)(2.5)}{100}\)

\(\\ \sf\longmapsto I=\dfrac{24000(2.5)}{100}\)

\(\\ \sf\longmapsto I=\dfrac{60000}{100}\)

\(\\ \sf\longmapsto I=600\)

\( \large\begin{gathered} {\underline{\boxed{ \rm {\red{S.I \: = \: \frac{P × R × T}{100} }}}}}\end{gathered} \)

As we know that , first we need to convert 2 years 6 months into years.

\( \sf \ \implies \: 1 \: \: year \: = \: 12 \: \: months\)

\( \sf \implies \: 2 \: \: years \: \: and \: \: 6 \: \: months \: = \: 30 \: \:months\)

\( \sf \implies \: \:\frac{ \cancel{30} \: \: ^{2.5 \: \: years} }{ \cancel{12 \: }} \\ \)

\(\bf{\blue{ Time \: = \: 2.5 \: \: years}}\)

\(\Large\rm{\orange{ \begin{cases} \large\begin{gathered} {\underline{\boxed{ \rm {\purple{S.I \: = \: \frac{P × R × T}{100} }}}}}\end{gathered} \end{cases}}}\)

\( \tt \large \longrightarrow \: \: S.I \: = \: \frac{2000 \: × \: 12 × \: 2.5}{100} \\ \)

\( \tt \large \longrightarrow \: \: S.I \: = \frac{60000}{100} \\ \)

\(\tt \large \longrightarrow \: \: S.I \: = \frac{600 \cancel0 \cancel0}{1 \cancel0 \cancel0} \\ \)

\(\tt \large \longrightarrow \: \: S.I \: = \: 600\)

\(\large \underbrace{\textrm {{{\color{navy}{Simple Interest \: = \: 600}}}}}\)

Answer:

48.37 degrees

Step-by-step explanation:

c = AB = sqrt((9-7)² + (2-7)²) = sqrt(4+25) = sqrt(29)

b = AC = sqrt((5-7)² + (3-7)²) = sqrt(4+16) = sqrt(20)

a = BC = sqrt((5-9)² + (3-2)²) = sqrt(16+1) = sqrt(17)

A = angle at A

B = angle at B

C = angle at C

cos(A) = (b²+c²-a²)/(2bc) = (20+29-17)/2sqrt(20)sqrt(29) =

= 32/48.16637832... = 0.664363839...

A = acos(0.664363839...) = 48.366461... degrees

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

Answer:

2:6

Step-by-step explanation:

Answer:

the answer is 3:1

Step-by-step explanation: you divide both sides by the same number

1/3=3

3/3=1

3:1

The angle measure of the circle graph is as follows:

A travel magazine surveyed 500 of its adult readers about their favourite ways to travel. The circle graph below shows that 125 people like to travel by train, 275 like to travel airplane and 100 people like to travel by boat.

Therefore, let's use the data to create a pie chart with the measured angles.

Hence,

angle for train travellers = 125 / 500 × 360

angle for train travellers = 45000 / 500

angle for train travellers = 90 degrees

angle for the airplane travellers = 275 / 500 × 360

angle for the airplane travellers =  99000 / 500

angle for the airplane travellers = 198 degrees

Finally,

angle for the boat travellers = 360 - 198 - 90 = 72 degrees.

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Answer:

B, 5x = 35.75

Step-by-step explanation:

Divide the total cost by 5 pies to find the cost of one pie.

Answer:

its b

Step-by-step explanation:

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