Suppose the lake by your house as 198,000 gallons. But its volume grew by 3000 every weekWrite an equation modeling the number of gals in the lake after so many weeks

Answers

Answer 1

Given:

The current volume of the lake is 198,000 gallons.

Its volume grew by 3000 gallons every week

To find: An equation modeling the number of gallons in the lake after some weeks.

Explanation:

As we know,

If the growth or decay involves increasing or decreasing by a fixed number, then we must use a linear function.

Here, the increasing rate is 3000.

The current volume is 198,000 gallons.

Thus, the linear function that represents this situation is,

[tex]V=3000w+198000[/tex]

Where w represents the number of weeks and V represents the volume.

Final answer:

The equation is,

[tex]V=3000w+198000[/tex]


Related Questions

geometry i need help with this assignment this is only the front so make sure to watch for the back

Answers

The values of the area of the shaded region are;

1. Area = 36, perimeter = 28

2. Area = 16, perimeter = 16

3. Area = 22, perimeter = 30

4. Area = 29, perimeter = 28

6. Area = 53.9

What is the area of a figure?

The area of a figure is the area bounded by the line that serves as the boundary of the figure.

The areas and perimeters of the figures are found as follows;

1. The figure consists of two rectangles

The dimension of the small rectangle at the top are;

Length = 4, Width = 3

Area = 3 × 4 = 12

Dimensions of the larger rectangle are;

Width = 4, Length = 6

Area = 4 × 6 = 12

The area of the composite figure is therefore; A = 3 × 4 + 6 × 4 = 36

The sum of the length of the sides, which is the perimeter, P = 8 + 3 + 4 + 3 + 4 + 6 = 28

2. The figure consists of a right triangle at the top rectangle;

The leg lengths of the right triangle are; 3 and 4

The area of the right triangle = 0.5 × 3 × 4 = 6

The dimension of the rectangle are; Length = 5, width = 2

Area of the rectangle = 5 × 2 = 10

Area of the composite figure is therefore, A = 0.5 × 4 × 3 + 2 × 5 = 16

The perimeter of the composite figure, P = 4 + 3 + 2 + 5 + 2 = 16

3. The figure is a composite figure that is found by subtracting the area of a rectangle from the area of a right triangle as follows;

The dimensions of the triangle are;

Leg lengths; (8 + 4) = 12 and (3 + 2) = 5

Area of the right triangle = 0.5 × (8 + 4) × (3 + 2) = 30

Dimensions of the rectangle left blank are;

Length = 4, width = 2

Area of the rectangle = 4 × 2 = 8

Therefore;

Area of the composite figure = 0.5 × (8 + 4) × (3 + 2) - 4 × 2 = 22

Length of the hypotenuse side = √((8 + 4)² + (3 + 2)²) = 13

The perimeter of the composite figure = 3 + 13 + 8 + 2 + 4 = 30

4. The figure is a composite figure that consist a large rectangle and small rectangle.

Dimensions of the large rectangle are;

Length = 2 + 2 + 3 = 7

Width = 5

Area of the large rectangle = 7 × 5 = 35

Dimensions of small rectangle are;

Length = 3, width = 2

Area of the small rectangle = 3 × 2 = 6

Area of the composite figure = 35 - 6 = 29

The perimeter = 2 × (2 × 2 + 3) + 2 × 5 + 2 × 2 = 28

6. Area of the circle = π × 14²/4

Area of the square = 10 × 10 = 100

The area of the shaded region = π × 14²/4 - 100 ≈ 53.9

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The cost of renting a lawnmower at the Rent-a-Center is given by the formula c = 4 +4h, where c is the total cost in dollars and h is the number of hours the mower isrented. What is the cost of renting the mower for 3 hours?2:

Answers

The cost of renting the mower for 3 hours is $16.

Formula:

[tex]c=4+4h[/tex]

Where:

c= total cost in dollars

h= number of hours the mower is rented.

So, we simply have to substitute h=3 ( mower rented for 3 hours) and solve:

[tex]c=4+4(3)[/tex][tex]c=4+12[/tex][tex]c=16[/tex]

Hello pls help!!

The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 20 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
A. 13,307 years
B. 3,235 years
C. 1,331 years
D. 32, 346 years

Please help it's very urgent!!

Answers

Answer:

13,307 years

Step-by-step explanation:

The expression for the decay of a radiactive material is:

A = B*(1/2)^(t/HL),

where A is the amount remaining, B is the initial amount, t is time (in years), and HL is the half life (in years).

We learn that A is 20% of B, so let's rewrite for that:

0.20B = B*(1/2)^(t/HL)

and we can divide both sides by B to leave us:

0.20 = (1/2)^(t/HL)

The HL is 5730 years:

0.20 = (1/2)^(t/5730)

We need to solve this expression for t, the time (in years) that is required before we have 20% of the carbon remaining.

The answer I get, by graphing, is 13,305 years,  The closest to this is A) 13,307 years.  An algebraic solution might result in a slightly different number.

 

Based on the pattern in the table, what is the value of a?
-64
Powers of 2
2-²
2-3
244
2-5
2-6
Value
1
2
4
1
80
1
16
1
32
a

Answers

Answer:

equation and fraction addition and subtraction

Could you quickly glance over my paper and see if it looks generally right? You dont need to go in depth i just need someone to say if i did something extremely wrong.

Answers

We need to check if y=8 and x = -1 are perpendicular or parallel.

The line y=8, is a straight line for which the y-values within it are equal to 8, therefore it is parallel to the x-axis.

The line x=-1, is a straight line for which all the values have the same value of x, which is -1, therefore it is parallel to the y-axis.

The lines are, therefore, perpendicular.

Marc sold 500 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1,789.a.) Write a system of equations that can be used to determine how many of each type of ticket Marc sold.b.) Solve the system to determine how many adult tickets and how many student tickets Marc sold.

Answers

Given that:

- Marc sold 500 tickets for the school play.

- Student tickets cost $2.

- Adult tickets cost $5.

- The total amount of money from the sale was $1,789.

a.) Let be "x" the number of student tickets Marc sold for the school play, and "y" the number of adult tickets Marc sold for the school play.

You can represent the total number of tickets he sold with this equation:

[tex]x+y=500[/tex]

You can represent the total amount of money from the sale with this equation:

[tex]2x+5y=1789[/tex]

Now you can set up this System of Equations that can be used to determine how many of each type of ticket Marc sold:

[tex]\begin{cases}x+y={500} \\ 2x+5y={1789}\end{cases}[/tex]

b.) You can solve the System of Equations using the Elimination Method:

1. Multiply the first equation by -2:

[tex]\begin{cases}(-2)(x+y)=(-2)({500)} \\ 2x+5y={1789}\end{cases}[/tex]

[tex]\begin{cases}-2x-2y={-1000} \\ 2x+5y={1789}\end{cases}[/tex]

2. Add the equations:

[tex]\begin{gathered} \begin{cases}-2x-2y={-1000} \\ 2x+5y={1789}\end{cases} \\ ---------- \\ 0+3y=789 \\ 3y=789 \end{gathered}[/tex]

3. Solve for "y":

[tex]\begin{gathered} y=\frac{789}{3} \\ \\ y=263 \end{gathered}[/tex]

4. Substitute the value of "y" into the first original equation and solve for "x":

[tex]\begin{gathered} x+263=500 \\ x=500-263 \\ x=237 \end{gathered}[/tex]

Hence, the answers are:

a.)

[tex]\begin{cases}x+y={500} \\ 2x+5y={1789}\end{cases}[/tex]

b.)

[tex]x=237\text{ \lparen Number of student tickets Marc sold\rparen}[/tex][tex]y=263\text{ \lparen Number of adult tickets Marc sold\rparen}[/tex]

a bus drives for 3hrs and 30 mins at an average speed of 56mph.
how far does the bus drive

Answers

Answer: 196 miles

Step-by-step explanation: speed = 56 = distance / time

time = 3.5 hours

distance = speed x time = 56 x 3.5 = 196 miles

Answer:

196 miles

Step-by-step explanation:

If it drove for 56 miles per hour and rod for 3 1/2 hours the if we multiply 56 by 3 we have 168 miles and 1/2 of 56 is 28.

So the bus drove 196 miles

Indigo has $700 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $296.71.
She buys 3 bicycle reflectors for $12.34 each and a pair of bike gloves for $33.66.
She plans to spend some or all of the money she has left to buy new biking outfits for $68.49 each.

Which inequality can be used to determine
o
o, the maximum number of outfits Indigo can purchase while staying within her budget?

68.49
o
+
367.39

700
68.49o+367.39≤700

68.49
+
367.39
o

700
68.49+367.39o≥700

68.49
o
+
367.39

700
68.49o+367.39≥700

68.49
+
367.39
o

700
68.49+367.39o≤70

Answers

The inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The given parameters are:

Budget = $700

New bicycle = $296.71

Three bicycle reflectors = $12.34 each

Pair of a bike gloves = $33.66.

New biking outfits = $68.49 each.

Let the number of new biking outfits be x

So, we have the inequality;

New bicycle + 3 times price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget

This gives;

296.71 + 3( 12.34) + 33.66+ 68.49x ≤ 700

296.71 + 68.49x ≤ 700

Solve the inequality

367.39 + 68.49x ≤ 700

Hence, the inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700

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Pls help fast (10 points)
Need answer fast​

Answers

Answer:

1.75

Step-by-step explanation:

1/4 (5 - -2)

1/4(5 + 2)

1/4(7)

7/4

1 3/4

Michelle has a math assignment with 60 problems you saw one picture of the problems of school then Michelle solve 1/4 of the problems at home how many problems does Michelle have left to solve

Answers

Step 01:

Data

total math problems = 60

problems solved = 1/4

problems

Step 02:

where Ais the initial amount present and A is the amount presenteStrontium-90 is a radioactive material that decays according to the function A(t) = Age-0.02441at time t (in years). Assume that a scientist has a sample of 800 grams of strontium-90.ce(a) What is the decay rate of strontium-90?(b) How much strontium-90 is left after 30 years?(c) When will only 200 grams of strontium-90 be left?(d) What is the half-life of strontium-90?-stilCOREcio (a) The decay rate of strontium-90 is %.(Type an integer or a decimal. Include the negative sign for the decay rate.)LiolewMat

Answers

The given information is:

- The function of decay is:

[tex]A(t)=A_0e^{-0.0244}[/tex]

Where A0 is the initial amount of strontium-90, A is the amount present at time t (in years).

- The initial amount is 800 grams.

a. What is the decay rate of strontium-90?

The given formula is written in the form:

[tex]A(t)=A_0e^{rt}[/tex]

Where r is the decay rate in decimal form, so:

[tex]r=-0.0244*100\%=-2.44\%[/tex]

The decay rate is -2.44%.

b. How much strontium-90 is left after 30 years?

Replace t=30 and solve:

[tex]\begin{gathered} A(30)=800g*e^{-0.0244*30} \\ A(30)=800g*e^{-0.732} \\ A(30)=800g*0.481 \\ A(30)=384.8g \end{gathered}[/tex]

There is 384.8 grams after 30 years.

c. When will only 200 g of strontium-90 be left?

A(t)=200g, then replace it and solve for t:

[tex]\begin{gathered} 200g=800g*e^{-0.0244t} \\ \frac{200g}{800g}=e^{-0.0244t} \\ \ln(\frac{200g}{800g})=\ln e^{-0.0244t} \\ -1.386=-0.0244t \\ t=\frac{-1.386}{-0.0244} \\ t=56.8 \end{gathered}[/tex]

There will be 200 g left after 56.8 years.

d. What is the half-life of strontium-90?

The half-life is when A(t)=A0/2, then if we replace this into the decay formula we obtain:

[tex]\begin{gathered} \frac{A_0}{2}=A_0*e^{-0.0244t} \\ Simplify\text{ A0 on both sides} \\ \frac{1}{2}=e^{-0.0244t} \\ \ln(0.5)=\ln e^{-0.0244t} \\ -0.693=-0.0244t \\ t=\frac{-0.693}{-0.0244} \\ t=28.4 \end{gathered}[/tex]

The half-life of strontium-90 is 28.4 years.

Suppose at 21 inches of wire cost $.84 at the same rate how much incense for 14 inches of wire cost

Answers

Step 1:

Concept:

The cost of wire varies directly to the length in inches

Step 2:

[tex]\begin{gathered} \text{If 21 inches cot \$0.84} \\ \text{Then 1 inches will cost = }\frac{0.84}{21}\text{ = 0.04 \$/inch} \end{gathered}[/tex]

Final answer

14 inches will cost = 14 x 0.04 = $0.56 = 56 cents

56 cents

Find (g∘k)(1)for g(x)=11x2−4x+6and k(x)=4x−11. (g∘k)(1)=

Answers

The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:

[tex]k(1)=4(1)-11=4-11=-7[/tex]

Now, find g(k(1)), it means, g(-7):

[tex]g(-7)=11(-7)^2-4(-7)+6=573[/tex]

(g°k)(1)=573.

I need help on #13 please !!! Also with the (circle the vertex on the graph and draw the axis of symmetry) !

Answers

Given the quadratic equation

[tex]2x^2-16x+24=0[/tex]

we want to solve for the vertex and its axis of symmetry.

To easily identify these properties of quadratic equation, we must put the equation first into its vertex form. The first step to write it in its vertex form is to move the constant on the right-hand side of the equation

[tex]\begin{gathered} 2x^2-16x=-24 \\ x^2-8x=-12 \end{gathered}[/tex]

After that, we add the square of b/2 on the equation above. The value of b on the quadratic equation is -16. We have

[tex]x^2-8x+(\frac{-8}{2})^2=-12+(\frac{-8}{2})^2[/tex]

Simplify the equation above

[tex]\begin{gathered} x^2-8x+16=-12+16 \\ x^2-8x+16=4 \end{gathered}[/tex]

We write the expression on the left-hand side as perfect square, which is (x-4)^2.

[tex](x-4)^2=4[/tex]

Transfer 4 to left-hand side to write the vertex form of the quadratic equation

[tex](x-4)^2-4=0_{}[/tex]

The vertex form has the general equation

[tex]y=a(x-h)^2+k[/tex]

where (h,k) is the vertex of the parabola.

Based on the vertex form of the quadratic formula, the vertex exists at (4,-4). Also, the axis of symmetry is equal to h, which is in this case, equal to 4.

The representation of a vertex and axis of symmetry in a quadratic plot will be

Answer: Vertex = (4,-4)

Axis of symmetry = 4

a test has 30mmultiple choice questions with 4 choices each. how many different ways can the question be answered

Answers

The answer will be [tex]4^{30}[/tex]  different ways can the question be answered using permutation.

What is permutation?

A permutation is both an ordered combination and an ordered arrangement of results. For instance, 3 people are to sit in each of the 5 chairs. The first person can be seated in five different ways, the second person in four different ways, and the third person in three different ways. Accordingly, generalising this, we obtain n alternatives to fill the first chair, n-1 options to fill the second, and n-2 options to fill the third chair. As a result, nPr = n! / (n - r)! can be used to represent how many different permutations (arrangements) there are when there are r individuals and n chairs.

Each question has four choices. So, the total number of ways in which the questions can be attempted is [tex]4^{30}[/tex]

Hence the number of ways the question be answered is  [tex]4^{30}[/tex].

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In parallelogram PQRS, QP is entended to pointT and ST is drawn

Answers

Answer

Angle PST = 80°

Explanation

Opposite angles of a parallelogram are equal.

Angle R = 130° = Angle QPS

The sum of angles on a straight line is 180°.

Angle QPS + Angle SPT = 180°

130° + Angle SPT = 180°

Angle SPT = 180° - 130° = 50°

Then, we were told that ST = SP, so, the the base angles of triangle PST are equal.

Angle SPT = Angle STP = 50°

Sum of angles in a triangle = 180°

Angle SPT + Angle STP + Angle PST = 180°

50° + 50° + Angle PST = 180°

100° + Angle PST = 180°

Angle PST = 180° - 100°

Angle PST = 80°

Hope this Helps!!!

If the number of bacteria in a colony doubles every 236 minutes and there is currently a population of 9,085 bacteria, what will the population be 708 minutes from now?

Answers

We could state an exponential model.

Number of bateria will be given by:

[tex]N=N_0e^{kt}[/tex]

where k=growth constant and t=time in minutes.

We're given that N0 is the initial population, which is:

[tex]N_0=9,085[/tex]

We also know that, when t=236 min, N=2(9,085) = 18,170:

[tex]18,170=9,085e^{k(236)}^{}[/tex]

We're going to solve this equation to find the value of k:

[tex]\begin{gathered} \frac{18,170}{9,085}=e^{236k} \\ 2=e^{236k} \\ \ln 2=\ln e^{236k} \\ \ln 2=236k \\ k=\frac{\ln 2}{236} \end{gathered}[/tex]

Then, our expression is:

[tex]N=9,085e^{\frac{\ln 2}{236}t}[/tex]

To find the population of bacteria after 708 minutes, we replace t by 708:

[tex]N=9085e^{\frac{\ln2}{236}(708)}=72680[/tex]

Therefore, the population of bacteria 708 minutes from now, is 72680.

help meeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer: Width = 5.7 feet, Length = 10.5 feet

Step-by-step explanation:

Let the width be w. Then, the length is 2w-0.9.

[tex]w(2w-0.9)=59.85\\\\2w^2 -0.9w-59.85=0\\\\w =\frac{-(-0.9) \pm \sqrt{(-0.9)^2 -4(2)(-59.85)}}{2(2)}\\\\w =5.7\\\\\implies 2w-0.9=10.5[/tex]

GRADED HW ASSIGNMENT I need help I’m stuck on this question and it’s regarding volume and scientific notation

Answers

ANSWER:

1.8176 * 10^-20 m^3

STEP-BY-STEP EXPLANATION:

Given:

Wide = 0.000000284 m

Long = 0.000000025 m

High = 0.00000256 m

Because it is rectangular in shape, the volume is the product of the three measurements, just like this:

[tex]\begin{gathered} V=0.000000284*0.000000025*0.00000256 \\ \\ V=1.8176*10^{-20}\text{ m}^3 \end{gathered}[/tex]

The volume is 1.8176 * 10^-20 cubic meters

PLEASE EXPLAIN THE GOT THESE NUMBERS QUICK

Answers

The line y = 2x + 6 shown in the data is the line of best fit of the data

What is line of best fit?

There are many points of the data and by plotting the points on the graph, a single line cannot pass through all the points.

Line of best fit minimize the distance between the line and the points of the data

The points which are plotted on the graph in red are the points of the data and y = 2x + 6 is the line of best fit of the data.

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The orange figure below is a scale drawing of theblack figure. What is the scale factor, rounded tothe nearest whole number?

Answers

Scale factor is given by the formula below:

[tex]\text{Scale factor =}\frac{new\text{ length}}{\text{old length}}[/tex]

Using the right-hand side

new length = 1

old length= 3

substitute the values into the formular

[tex]\text{scale factors= }\frac{1}{3}=0.33333\approx0[/tex]

find the total surface area of a solid cube given that its volume is 343 m square.
find the volume of a solid cube given that its total surface area is 216.

Answers

Step-by-step explanation:

what is the basic unit of length ? m or meter ?

a cube is like a 3-dimensional square : all side lengths are equal.

the volume of a cube =

side³

side³ = 343 m³

side = cubic root(343) = 7 m

a cube has 6 sides (look at dice). the surface of a cube is therefore 6 times the area of a side² square.

so, for side = 7 the surface area of the cube is

6 × 7² = 6 × 49 = 294 m²

and in the other direction, when we have the surface area (216 m²) :

216 m² = 6 × side²

36 = side²

side = sqrt(36) = 6 m

the volume of that cube is then

6³ = 216 m³

Fancy food catering prepares 3696 fluid ounces of fruit punch foe a wedding reception. they plan to divide the punch equally among 4 different punch bowls. each serving of punch 6 ounces. how many servings of fruit punch are available at the reception?

Answers

Fruit punch is served during the reception in 154-ounce cups using division.

Describe a division.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 Equals 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

The division is represented mathematically by a symbol consisting of a tiny horizontal line with dots above and below the line. The division of two integers is represented by one of two fundamental division symbols.

Total fruit punch foe prepared = 3696 ounces

Number of punch balls = 4

Each serving has = 6 ounces of punch

So, 4 servings will have

4 × 6 = 24

The number of servings of fruit punch available at reception is given by

3696÷24

= 154

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a coffee machine can be adjuste4d to deliver any fixed numer of ounces of coffee. if the machine has a standard deviation of 0.4 ounces, what should be the mean setting so that an 8 ounce cup will overflow only 0.5% of the time?

Answers

The mean μ=9 is the setting so that an 8 ounce cup will overflow when only 0.5% of the time.

A Z-score indicates how far a given value is from a standard deviation. A Z-score (standard value) is the number of standard deviations that a particular data point is above or below the mean. Standard deviation essentially reflects the amount of variability within a given data set.

The average is calculated as: From the Z-score formula:

z=(x-μ)/σ

Z-score associated with 0.5% is 0

(8μ)/0.4=0

Solving for x gives:

μ=9

For μ=9, an intermediate setting such that the 8 ounce cup overflows 0.5% of the time.

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Choose the point on the terminal side of 135º.

Answers

We are given the following information.

We also know that the general equation of a line is given by

[tex]y=mx+b[/tex]

Where m is the slope of the line and b is the point at which it crosses the y axis.

Since the line given goes through (0,0), b=0. Now we just need to find m.

This can be done via the formula

[tex]m=\tan (\theta)[/tex]

In this case

[tex]m=\tan (135)=-1[/tex]

And so, the equation of the line given is

[tex]y=-x[/tex]

Now we simply need to see which of the options fit this equation. We can do this easily, because x and y are equal except for their sign.

As such, the point of the terminal side of 135° is (-1,1).

The total cost of three shirts and two sweatshirts is $203.75. If the sales tax rate on clothing is 6%, how much money will be owed to the cashier?

Answers

The money owed by the cashier after selling three shirts and two sweatshirts for $203.75 and 6% clothing tax is $215.975.

The percentage tax is the tax amount charged for the item. The tax amount is given by dividing the per cent by 100 and multiplying it by the total amount of the item.

The total cost of three shirts and two sweatshirts is $203.75 and the tax is 6%.

The tax amount will be,

Tax amount = [tex]\frac{6}{100}\times203.75[/tex]

[tex]=12.225[/tex]

So, the total money owed by the cashier will be,

Total money owed by cashier [tex]=203.75+12.225[/tex]

= $215.975

Therefore, the money owed by the cashier after selling three shirts and two sweatshirts is $215.975.

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For what value of x must ABCD be a parallelogram? 14-7=12x+1

Answers

Answer:

Step-by-step explanation:

14-7=7

7-1=6

6=12x

x=0.5

Hello! I need some assistance with this homework question for precalculus, please?HW Q27

Answers

The expression is given to be:

[tex]\log_55^{86}[/tex]

Recall the rule of logarithms:

[tex]\log a^b=b\log a[/tex]

Thus the expression becomes:

[tex]\log_55^{86}=86\log_55[/tex]

Recall the rule:

[tex]\log_aa=1[/tex]

Hence, we have the expression to be:

[tex]86\log_55=86[/tex]

The answer is 86.

i really really need help on this qustion

Answers

The coordinates of R are (7, -3).

What is meant by ordered pair?An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), with two values written within parentheses in a fixed order. It aids visual comprehension by locating a point on the Cartesian plane.An ordered pair's numeric values can be integers or fractions. An ordered pair is a pair of two numbers (or variables) separated by a comma and written inside brackets. (1, 2) is an ordered pair, for example.It represents a point in coordinate geometry and an element of a relation/cartesian product in set theory.Ordered pairs are also known as 2-tuples or sequences (or lists in a computer science context).

Therefore,

R are (7, -3)

P are (4,-3)

Q are (4,4)

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Which ordered pair does NOT belong to any quadrant?
(1, 3)
(-1, -3)
(1, -3)
(0, 3)

Answers

The ordered pair (0, 3) does not lie onto any of the four quadrants.

What is the sign convention for quadrants?

We know in the cartesian plane there are four quadrants.

In the first quadrant (x, y).

In the second quadrant (- x, y).

In the third quadrant (- x, - y).

In the fourth quadrant (x, - y).

Given are some ordered pairs. We know when x = 0 the point lies onto the x-axis and when y = 0 the point lies onto the x-axis.

Out of the given ordered pairs (0, 3) does not belong to any quadrant as it lies onto the y-axis only at 3.

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