a 5.2 kg cat and a 2.3 kg bowl of tuna fish are at opposite ends of the 4.0-mm-long seesaw. (figure 1) you may want to review (page) .

The points that would be plotted are (2, 1.690), (3, 2.535), and (4, 3.380).

What are the coordinates?

Any one of a group of numbers used to describe where a point is on a line, a surface, or in space coordinates of latitude and longitude

Here, we have

If the following data were transformed and points with coordinates (x, log(y)) were plotted then we have to find what points would be plotted.

From the table:

At x = 2 and y = 49 ⇒ (x,log(y)) = ( 2 , log 49 ) =  (2, 1.690)

At x = 3 and y = 343 ⇒(x,log(y)) = ( 3 , log 343) =  (3, 2.535)

At x = 4 and y = 2401 ⇒(x,log(y)) = ( 4 , log 2401) =(4, 3.380)

Hence, The points that would be plotted are (2, 1.690), (3, 2.535), and (4, 3.380).

To learn more about the coordinates from the given link

https://brainly.com/question/17206319

#SPJ1

Answer:

25

Step-by-step explanation:

32/100=8/x

cross multiply

32x=100(8)

32x=800

/32. /32

x=25

hopes this helps please mark brainliest

The required graph is as follows.

The graph of an equation in x and y is the value of y for the

corresponding value of x.

Given,

y = -x - 2

or x + y = -2

The line cuts x axis when y = 0 and cuts y axis when x = 0.

Therefore, the line cuts x axis at x = -2

                  the line cuts y axis at y = -2

Hence, required graph is:

To learn more about graphs visit:

https://brainly.com/question/17117277

#SPJ1

Hence, the equation for the question (7) is [tex]n + 19 = 84[/tex] and equation for (8) is [tex]3n = 12[/tex]. It can be solved by linear equation in one variable.

What is a linear equation in one variable?

A linear equation in one variable is written as [tex]ax+b = 0[/tex]. Here, [tex]a[/tex] and [tex]b[/tex] are constants and [tex]x[/tex] is a variable.

(7)

Consider n number of baseball cards does Mike have. Since this is 19 less then the cards Allan have hence, as you add 19 in n then it will give 84.

[tex]n + 19 = 84[/tex]

(8)

Consider the speed of Michelle is n. As, it is 3 times less than the speed of the Jamie hence, it you multiply 3 with n then it will give 12.

    [tex]3n = 12[/tex]

Hence, the equation for the question (7) is [tex]n + 19 = 84[/tex] and equation for (8) is [tex]3n = 12[/tex].

Learn more about linear equation in one variable from the following link:

https://brainly.com/question/85774

#SPJ4

a) After 10 years, the amount (future value) in the mutual fund will be $27,679.22.

b) The total amount deposited in the mutual fund is $23,000.

c) The amount of interest earned on the quarterly deposits is $4,679.22.

The future value is the compounded present value of periodic deposits.

The future value is compounded at an interest rate per period.

We can compute the future value using an online finance calculator, which also shows the total deposits and interest earned.

N (# of periods) = 40 quarters (10 years x 4)

I/Y (Interest per year) = 3.7%

PV (Present Value) = $0

PMT (Periodic Payment) = $575

Results:

Future Value (FV) = $27,679.22

Sum of all periodic payments = $23,000 ($575 x 40 quarters)

Total Interest = $4,679.22

Thus, making a quarterly deposit of $575 for 10 years at 3.7% APR will yield a future value of $27,679.22.

Learn more about the future value at https://brainly.com/question/24703884

#SPJ1

Volume = 201 cm

Here is an equation to help you find the volume of a cone:

V=πr²[tex]\frac{h}{3}[/tex]=π·4²·[tex]\frac{12}{3}[/tex] ≈ 201.06193cm³

This equation is what I used to solve your question. The answer is 201.06193, but is says round to the nearest whole number, so the answer is actually 201 cm.

In the equation:

V means Volume

π means Pi (3.14)

r² means radius squared

[tex]\frac{h}{3}[/tex] means height divided by 3

4² means 4 · 4

[tex]\frac{12}3}[/tex] means 12 ÷ 3

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

89 m

Step-by-step explanation:

p/2 = 376/2 = 188 m

l + a = 188

a = 188 - l

a = 188 - 99

a = 89 m

The total weight of the carton after packing the apples is 29.825 kg.

Empty carton: 8.350 kg

Apples: 21.475 kg

Since we are placing the apples inside the empty carton, now the carton will also contain the weight of the apples, additional to its own weight.

8.350 kg + 21.475 kg= 29.825 kg.

The total weight of the carton after packing the apples is 29.825 kg.

The given conditions to find the values of all six trigonometric functions is cos (x) =-5/9, sin (x) = 2 root(14)/9, tan(x)= - 2 root(14)/5 and cot(x)= - 5 (2 root 14), csc(x)= 9 /2root (14).

What is trigonometric functions ?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle.

[tex]$\sec (x)=-\frac{9}{5} < 0$[/tex]and [tex]$\tan (x) < 0$[/tex]

so, x is in the second quadrant.

So, [tex]$\cot (x), \cos (x)$[/tex]are negative and [tex]$\sin (x), \csc (x)$[/tex] are positive.

Hence,

[tex]$$\begin{aligned}\cos (x) & =\frac{1}{\sec (x)}=-\frac{5}{9} \\\sin (x) & =\sqrt{1-\cos ^2(x)}=\sqrt{1-\frac{25}{81}}=\frac{2 \sqrt{14}}{9} \\\tan (x) & =\frac{\sin (x)}{\cos (x)} \\& =-\frac{2 \sqrt{14}}{5} \\\cot (x) & =\frac{1}{\tan (x)}=-\frac{5}{2 \sqrt{14}} \\\csc (x) & =\frac{1}{\sin (x)}=\frac{9}{2 \sqrt{14}}\end{aligned}$$[/tex]

To learn more about trigonometric functions visit:https://brainly.com/question/6904750

#SPJ4

Answer:

If one of the answers is 5 hours and 50 minutes, that. If its 7 hours and 30 minutes, that. In between is 6 hours and 40 minutes.

Step-by-step explanation:

The volume of water that runs off the Shoppes at Fremont parking lot after a 5 cm rainfall event is [tex]1000m^{3}[/tex].

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.

Volume is sometimes referred to as capacity. For instance, a cylindrical jar's volume can be used to calculate how much water it can hold.

Basically, the volume of a liquid is measured in liters, where 1 liter is equal to 1000 cubic centimeters.

1 liter = 1000 cubic centimeters = 0.001 cubic meters

Hence,

1 cubic meters = 1000 liters

Given,

[200m x 100m = [tex]20000m^{2}[/tex]]

[5cm x 1m/ 100cm = 0.05m]

20,000m2 x 0.05m = [tex]1000m^{3}[/tex]

To learn more about the volume of water visit: brainly.com/question/17322215

#SPJ4

Answer:

hola

Step-by-step explanation:

Answer: You say Hola

Step-by-step explanation:

Which sounds like (Ohw·laa)  = This means Hi or Hello

The pressure of 28 inches of mercury occurs about 6 miles from the eye of hurricane.

A function having the formula f(x) = ax' + b is said to be linear.

It appears to be a standard linear equation, except the linear function symbol is f rather than y. (x).

You would be given the value of f(x) and asked to locate x when solving a linear function.

F(x) is the barometric air pressure in inches of mercury.

x is the distance in miles from the eye of a severe hurricane.

It is given pressure 28inches of mercury

Put F(x) equal to 28

F(x) = 0.48ln(x+2) +27

28 = 0.48ln(x+2)+ 27

28-27= 0.48ln(x+2)

1= 0.48ln(x+2)

1/0.48= ㏑(x+2)

25/12= ㏑(x+2)

x+2= e^(25/12)

x+2=8.03119

x=8.03119-2

x= 6.03119

x = 6(round off)

Therefore, for 28 inches of mercury occurs about 6 miles from the eye of hurricane.

To know more about solving function, follow link:

https://brainly.com/question/29626703

#SPJ1

Answer:

90

Step-by-step explanation:

To solve, you have to use the formula

I=Prt

I is the dollars of of simple interest earned

P is principal in dollars

R is the annual interest rate (decimal form)

T is the time in years

I=Prt

I =300*0.05*6

I = 90

Answer:

we use bodmas!

Step-by-step explanation:

There are 60 professors and 168 lecturers according to the given information.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main BODY:

Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:

X + Y = 228

Then, as there are 5 professors for every 14 lecturers:

5 X = 14 Y or X = (14/5) Y

Replacing this last value of X on the first equation:

(14/5) Y + Y = 228

(14/5) Y + (5/5) Y = 228

(19/5) Y = 228

Y = 228 * (5/19)

Y = (228*5)/19

Y = 1140 / 19

Y = 60

Then we can find X:

X = (14/5) Y = (14/5) * 60 = 168

X = 168

Hence thre are 60 professors and 168 lecturers.

To know more about arithmetic , visit:

brainly.com/question/24536701

#SPJ1

When the card is a jack, there is a 0.25 probability that you will receive a spade.

The ratio of good outcomes to all possible outcomes of an event is known as the probability.

The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our question-

P(Spade) = 13/52 = 1/4 P(Jack) = 4/52

= 1/13 P(Spade and Jack)

= (1/4)(1/13) = 1/52 P(Spade/Jack)

= P(Spade and Jack)/P(Jack)

= (1/52)/(1/13) = (1/52)(13/1)

= 13/52 = 1/4 = 0.25

Hence, When the card is a jack, there is a 0.25 probability that you will receive a spade.

learn more about probability click here:

https://brainly.com/question/13604758

#SPJ1

Complete question-

A single card is drawn from a standard 52- card deck. Find the conditional probability that the card is a spade, given that it is a jack.?

The ingredients for 4 brownies would be: 1/2 cup butter, 15/4 ounces unsweetened chocolate, 9/8 cup sugar, 3 teaspoons vanilla, 3 eggs, and 3/4 cup flour.

A percentage is a component of a total amount, and the measures are related by the rule of three.

Keep in mind that in a particular ratio, such as: a/b=c/d a*d=b*c

Create the following ratio for each ingredient:1/8 cup butter, 5/8 ounces of unsweetened chocolate, 1/4 cup sugar, 1/8 teaspoon vanilla, 1/2 egg, and 3/16 cup flour.

Explanation:

Given that the original recipe calls for 16 brownies;

Butter:

(1/8)/16=b/12

(2/3)(12)=16b

8=16b

b=1/2

Chocolate:

5/16=c/12

60=16c

c=60/16

c=15/4

Sugar: (3/2)/16=s/12

(3/2)(12)=16s

18=16s

s=18/16

s=9/8

Vanilla: 2/16=v/12

24=16v

v=3/2

Eggs: 2/16=e/12

e=3/2

Flour:1/16=f/12

f=3/4

As a result, the following would be the components for four brownies,

3/4 cups flour, 1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, and 3/2 eggs.

To learn more about Percentage refer to:

https://brainly.com/question/24877689

#SPJ1

Answer:  1.8  divided by 0.6 is 3

The equation of the model for 1.8 is divided by 0.6 will be E = 1.8 / 0.6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number 1.8 is divided by the number 0.6. The mathematical model for the division can be written as:-

E = 1.8 / 0.6

Hence, the equation of the model for 1.8 is divided by 0.6 will be E = 1.8 / 0.6.

To know more about an expression follow

https://brainly.com/question/20066515

#SPJ2

Since the formula for P only applies to positive z, the minus sign must be removed if z is negative.We change 1.96 to 1.65 for a CI of 90%, and we use 2.57 for a CI of 99%.

To learn more about confidence interval refer

https://brainly.com/question/17097944

#SPJ1

Answer: 2640

Steps:

There are different ways you can solve this

METHOD 1

1. Find what 4% of 22,000 is

0.04 × 22,000 = 880

You do this so that you can find out the increase from the original number of people in the city

2. Find out what 3 years of increase is

880 = 1 year's worth of increase

880 × 3 = 3 year's worth of increase

2640 = 3 year's worth of increase

Therefore the population increase is 2640 ( 12% )

METHOD 2

1. Find out what 12% of 22,000 is

4% = 0.04

12% = 3 × 0.04

12% = 0.12

12% of 22,000 = 0.12 × 22000

12% of 22,000 = 2640

Therefore the population increase is 2640 ( 12% )

If you make the minimum payment on your card within the 25-day period, the credit card company will not charge you interest. Option D is correct.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the statment, "Your due date is at least 25 days after the end of the billing cycle. We will not charge you interest on new purchases provided that you have paid your previous balance in full by the due date each month"
Since al the option are wrong except option D

Option D is true. because the statement mentioned the same statement as mentioned in the given statment.

Thus, Option D is correct.

Learn more about investments here:

https://brainly.com/question/15353704
#SPJ1

Answer:

See below!

Step-by-step explanation:

From the statement, we get:

108 + x = 180

Subtract 108 to both sides

x = 180 - 108

Also,

y + 88 = 180

Subtract 88 to both sides

y = 180 - 88

[tex]\rule[225]{225}{2}[/tex]

Answer:

X= 72

y= 92

Step-by-step explanation:

108 + x = 180

x = 180 - 108

x = 72°

y + 88 = 180

y = 180 - 88

y = 92

There are 160 ways to fill the four committee positions.

What is Combination?

Faculty members can be selected in A = 2 ways

Male student can be selected in B= 4 ways

Female student can be selected in C = 4 ways

One parent can be selected in D = 5 ways.

Total number of ways to select committee of four = A*B*C*D

= 2* 4 * 4 * 5

= 160 Ways

Hence, there are 160 ways to fill the four committee positions.

To know more about Combinations check the below link:

https://brainly.com/question/11732255

#SPJ4

Answer:

Step-by-step explanation:

Yes, a triangle can be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters this is in the case whereby the lengths of any two sides combined is longer than the length of the 3rd side.

Triangle inequality, in Euclidean geometry, theorem  can be described as the theorem that states that the  sum of any two sides of a triangle is greater than or equal to the third side.

This can be represented using the  symbols, {a + b ≥ c.}  and this can be explained that the the shortest distance between two points is a straight line.

Then cherck this illustration to confirm that we are right:

7.3 + 4.6 > 11

7.3 + 11 > 4.6

4.6 + 11 > 7.3

Hence from this we can see that triangle can be drawn

Learn more about triangle at:

https://brainly.com/question/17335144

#SPJ1

Answer:

Step-by-step explanation:

To find the arc length of the polar curve r = 8cosθ between 0 and π/4, we can use the formula for arc length:

L = ∫a^b √(r^2 + (dr/dθ)^2) dθ

Substituting in the values for r and dθ, we get:

L = ∫0^(π/4) √(8^2cos^2θ + (-8sinθ)^2) dθ

= ∫0^(π/4) √(64cos^2θ + 64sin^2θ) dθ

= ∫0^(π/4) √(64) dθ

= ∫0^(π/4) 8 dθ

= 8(π/4 - 0)

= 8π/4

= 2π

Therefore, the arc length of the polar curve r = 8cosθ between 0 and π/4 is 2π.

The difference between 246 and 31 tripled is

The problem is solved using subtraction

the term difference is similar to subtraction in mathematics

Then tripling is raise to power 3 or exponents of 3, hence after subtraction then exponents is applied to the end result of subtraction to give the answer

The subtraction

= 246 - 31

= 215

The exponents

= 215³

= 215 * 215 * 215

= 9938375

'

On the second thought, we have a different answer in this case

= 246 - 31³

= 346 - 31 * 31 * 31

= -29545

Learn more on exponents here:

https://brainly.com/question/28939682

#SPJ1