After 2 minutes an ant traveled 120 meters and after 6 minutes the ant will have traveled 260 meters.

Assuming a linear equation can be used to model the change in distance traveled over time between 2 and 6 minutes, let y be the distance traveled (in meters) after x minutes and complete this linear model in slope-intercept form:


Question 2
The significance of the slope in the context of this situation is:

The ant travels 50 meters in 35 minutes.
The ant travels at an average of 35 meters per minute.
The ant travels at an average of 50 meters per minute.
The ant travels at an average of 50 minutes per meter.
The ant travels at an average of 35 minutes per meter.

Question 3
The distance that the ant will have traveled after 14 minutes is


Question 4
The number of minutes that will pass from the time the ant begins moving until it has traveled 610 meters is

The value of x for a given logarithm is 49.9.

Log10(x²+4)=2+Log10x-Log10 20​=

x = 49.9

2 = log10( 100)

so we have

log10( x [tex]\times[/tex]2 4) = log10( 100) log10( x)- log10( 20).

factor out log10 from RHS.

also log10( [tex]x[/tex] x  2 4) = log10( 100x/ 20).

log10 cancel log10.so, break the quadratic equation after simplification to have x = 49.9 or0.080

That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to produce x. In the most the logarithm counts the number of times the same factor appears in repeated addition; for illustration, since 1000 = 10 10 10 = 103, the" logarithm base 10" of 1000 is 3, or log10( 1000) = 3. When no mistake is conceivable, or when the base does not important, the logarithm of x to base b is expressed as logb( x), without logb x, or indeed without the base, logx.

To learn further about Logarithm from the given link

https//brainly.com/question/28346542

#SPJ9

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

Accordingly the Venn diagram The required values of x = 12 , y = 13 , z = 24 and t = 13.

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.

In Venn diagram, if two sets A and B do not intersect, then n(A∩B)=0 and n(A∪B) = n(A) + n(B).

Given: n(U) = 50, n(A) = 25, n(B) = 13 and n(A'∩B')=12

We have to determine the values of x, y, z, and t.

According to the given figure,

n(A') = n(U) - n(A)

n(A')=  50 - 25

n(A') = 25

n(B') = n(U) - n(B)

n(B') = 50 - 13

n(B') = 37

n(A∩B) = n(A') - n(A'∩B')

n(A∩B) = 25 - 12

n(A∩B) = 13

So, y = n(A∩B) = 13

As  in the Venn diagram, we know that,

x + y = n(A')

x = n(A') - y

x = 25 - 13

x = 12

y + z = n(B')

13 + z = 37

z = 37 - 13

z = 24

t = n(U) - [n(A) + n(B)]

t = 50 - [25+13]

t = 50 - 37

t = 13

Therefore, the values of x, y, z and t are 12, 13, 24, and 13.

To learn more about the Venn diagram here:

brainly.com/question/16859507

#SPJ1

Answer: 1296

Step-by-step explanation:

(6^2)^2=

(6^(2*2))=

6^4=1296

The equation used to determine how many cookies Noah sold is 317 = 13n + 5 where number of cookies Noah sold is 24

Total = Noah + Lin + Jada + Elena + Diego + Andre

317 = n + 3n + (5 + 3n) + {7 + (5 + 3n)} + (n - 4) + {2(n - 4)}

317 = n + 3n + 5 + 3n + 7 + 5 + 3n + n - 4 + 2n - 8

317 = 13n + 5

317 - 5 = 13n

312 = 13n

n = 312 / 13

n = 24 cookies

Learn more about equation:

https://brainly.com/question/4344214

#SPJ1

Answer:

21 yards

Step-by-step explanation:

1 3/4 * 12 = (12 + (3/4 of 12)) = 12 + 9 = 21

For the given data-set, we have that:

1. The mean is of 1199.3, the median is of 1198 and the distribution is bimodal, with 1197 and 1198 as modes.

2. The Pearson coefficient is of 0.24, and since it is positive, the data is positively skewed.

3. The range is of 82.

4. The standard deviation is of 16.47.

Using a calculator, which just applies the concepts explained above, as the data-set is too large, the measures are given as follows:

The Pearson Skewness Coefficient is given by:

P = 3(Mean - Mode)/Standard Deviation

The meaning of the coefficient is:

For this problem, the coefficient is given by:

P = 3(1199.3 - 1198)/16.48 = 0.24.

The Pearson coefficient is of 0.24, and since it is positive, the data is positively skewed.

More can be learned about the statistical measures of a data-set at https://brainly.com/question/24732674

#SPJ1

Zach is supposed to pay $1000 for this surgery. The other $4000 is to be covered by his insurance.

Responsibility of insurance carriers:-

A primary function of an insurance agent is that of a communicator, counselor, and facilitator. The insurance agent can provide the best products and services for the prospective customer's various needs, such as life, property, health, and burglary insurance. When purchasing an insurance product, let the insurance agent know ahead of time how much money they have set aside for insurance coverage. In turn, the insurance agent will assist their clients in obtaining the lowest or best insurance product costs.

:- The insurance agent has a variety of responsibilities in the insurance industry, as noted below:

1) An insurance agent assists customers in promoting and selling insurance products and services.

2) Providing consumers with solid financial advice and personal service

3) Desires to work with individuals and their families and businesses.

#SPJ9

There is a difference of actual and approximations 9.46 dollars.

Unitary method is a mathematical way of first deriving the value of a single unit then multiplying the given unit to obtain the required result.

According to the given question we have to compare the results where in first case we put actual values and on the second case we round the values.

In the first case

You're going on a 1211 mile trip, and your car gets about 29 miles per gallon.

So, the total fuel consumption will be (1211/29) gallons which is

= 41.76 gallons.

Given 1 gallon of gas costs 3.10 dollars.

∴ 41.76 gallons of gas will cost ( 41.76×3.10) dollars which is

= 129.456 dollars.

= 129.46 dollars.

In the second case

It is a 1200 mile trip and the fuel economy of the car is 30 miles per gallon.

So, the total fuel consumption will be

= 1200/30

= 40 gallons.

Given 1 gallon of gas costs 3 dollars.

∴ 40 gallons of gas costs (40×3) dollars which is

= 120 dollars.

learn more about unitary method here :

https://brainly.com/question/14793162

#SPJ1

Answer:

4/5

Step-by-step explanation:

The denominator is the total.

The numerator/top.

The rate of reading book by Tanisha is 4/5 book per month.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The book read by Tanisha in 5 months = 4 book.

To find the book read by Tanisha each month,

Use ratio property,

In 5 months = 4 book

in 1 month = 4/5 book.

In one month, the book read by Tanisha is 4/5 fraction.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

By using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547

What is normal distribution?

A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.

Given that:

μ= 1.4

σ=4.6

We know the formula of normal distribution is z = (x-μ)/σ

[tex]P(0 < x < 3)=P(x < 3)-P(x < 0)[/tex]

For [tex]P(x < 3)[/tex]

[tex]z=\frac{3-1.4}{4.6} \\z=0.35[/tex]

By using the z-table [tex]P(x < 3)=0.6368[/tex]

For [tex]P(x < 0)[/tex]

[tex]z=\frac{0-1.4}{4.6}\\z=-0.30[/tex]

By using the z-table [tex]P(x < 0)=0.3821[/tex]

Substituting [tex]P(x < 3)[/tex] and [tex]P(x < 0)[/tex] in [tex]P(0 < x < 3)[/tex]

we get,

[tex]P(0 < x < 3)=0.6368-0.3821\\P(0 < x < 3)=0.2547[/tex]

Therefore, by using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547

To learn more about normal distribution from the given link

https://brainly.com/question/27275125

#SPJ1

Answer: x=-4

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{8}~,~\stackrel{y_1}{14})\qquad P(\stackrel{x_2}{-21}~,~\stackrel{y_2}{-39})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NP=\sqrt{(~~-21 - 8~~)^2 + (~~-39 - 14~~)^2} \implies NP=\sqrt{( -29 )^2 + ( -53 )^2} \\\\\\ NP=\sqrt{ 841 + 2809 } \implies NP=\sqrt{ 3650 }\implies NP\approx 60.42[/tex]

Answer:

Step-by-step explanation:

b. 3^5

c. 2^7

d. xy^7

e. 64xy^5

Answer:

7.84

Step-by-step explanation:

783.68

[tex]783.63 \div 100 = 7.8363[/tex]

Approx to 7. 84

Answer:

Approximately 3 bottles

Step-by-step explanation:

28*4 = 112 tablets in a month

122/55 = 2.218 bottles

Basically, you will need to buy 3 bottles.

Answer: 7x=9

because x is 2 and 7+2= 9

The amount of water in the barrel is 423,115 cm³.

A cylinder is a three-dimensional object. It is a prism with a circular base. In order to determine the amount of water in the barrel, the volume of the barrel has to be determined.

Volume of a cylinder = nr^2h

Where:

n = 3.14

r = radius = diameter / 2 = 70 / 2 = 35cm

h = height = 1.1m

100cm = 1 meter

1.1 x 100 = 110 cm

Volume of a cylinder = 3.14 x 35² x 110 = 423,115 cm³

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

#SPJ1

Answer:

12.5

Step-by-step explanation:

13.5 12.5 10.8 9 11 10 12.5 13 10.5 12

The mode is the number that appears the most number of times.

We place the numbers in ascending order just for convenience.

9 10 10.5 10.8 11 12 12.5 12.5 13 13.5

Every number appears once except 12.5 that appears twice.

Answer: 12.5

[tex]\boxed{\begin{minipage}{5cm}\sf{2(x+3)=-4(x+1)}\\\sf{2x+6=-4x-4}\\\sf{6x+6=-4}\\\sf{6x=-10}\\\sf{x=-10/6}\\\sf{x=-5/3}\end{minipage}}[/tex]

Answer:

It is 25% percent......

Answer:

Step-by-step explanation:

45 / 180 = 0.25

25%

The lengths of the candlesticks for September 8 and 11 are approximately the same because this physical object stands in for the price range between the opening and closing prices for that trading day.

The close was lower than the open if the true body is filled in or is completely black. Real bodies that are empty indicate that the close was higher than the open.

Let's consider a case study over a longer time frame, say a week. In this example, the candle records prices from Monday through Friday of the work week. The price at which the market starts on Monday at 9:15 a.m., the first business day of the week, will be the opening price. The highest and lowest prices ever recorded will be set during that particular week.

Over a century before the West created the bar and point-and-figure charts, candlestick charts were invented in Japan. While there was a correlation between rice price and supply and demand in the 1700s, a Japanese man by the name of Homma found that traders' emotions had a significant impact on the markets.

Hence, predict the short-term direction of the price, traders utilise the candlesticks to help them make trading decisions.

To know more about trading prices, visit :

brainly.com/question/28191944

#SPJ1

Set A's standard deviation is larger than that of Set B (option c).

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. Standard deviation is a measure of variation of a dataset.

In order to determine the standard deviation, take the following steps:

Standard deviation of Set A:

(1 - 13)² + (2- 13)² +  (3- 13)² +  (23- 13)² +  (24- 13)² +  (25 - 13)²

144 + 121 + 100 + 100 + 121 + 144 = 730

√730 / 6 = 11.03

Standard deviation of Set B:

(9 - 13)² + (10- 13)² +  (11- 13)² +  (14- 13)² +  (16- 13)² +  (18 - 13)²

16 + 9 + 4 + 1 + 9 + 25 = 64

√64 / 6 = 10.67

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

Answer:

-3

Step-by-step explanation:

1) -x-y = 9

2) -3x+y = 3

By adding 3x to each side on equation #2, you get that y = 3+3x.

Now, we can substitute the value of y into the second equation. If you do this, you will get that [tex]-x-(3+3x)=9[/tex].

Simplifying gives you: [tex]-4x-3=9[/tex]

Adding three to both sides: [tex]-4x=12[/tex]

And finally dividing by negative four: [tex]x=-3[/tex]

You will get x = -3

Answer:

3/4 > 3/5 is true.

Hope this helps :)

Explanation and Check below.

Step-by-step explanation:

1. To compare fractions with the same numerators, look at the denominators and the greater one is the smaller number.

2. To compare fractions with the same denominator, look at the numerator and the answer will be the bigger number.

3. To compare fractions with different denominators, find the Least Common Multiple (LCM).

3/4 > 3/5 ✓

3/7 > 3/5 ✘

12/25 > 3/5 = 12/25 > 15/25 ✘

30/100 > 3/5 = 30/100 > 60 ✘

The Retained Earnings Balance as of the Ending of the Year, December 31, 20XX is $23,900

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expenses=32,800+16,800+3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid

Retained earnings=$14,640+$ 10,260-$1,000

Retained earnings=$23,900

Find out  more about net income on:brainly.com/question/1347024

#SPJ1

Answer:

133

Step-by-step explanation:

SP is part of a line and line is 180°

so:

m∠PQR + m∠RQS= 180°

(3x-5)  + ( x+1) = 4x-4=180

4x = 184

x= 46

m∠PQR = 3X-5 = 3(46)-5 =133

Answer:

133

Step-by-step explanation:

Supplementary angles are angles that sum to 180°, meaning they form a straight line.

Solving for x

Since we know that these 2 angles will sum to 180 (remember they are supplementary) we can add their expression together and set it equal to 180.

Next, combine like terms.

Add 4 to both sides

Divide by 4

Solve for m∠PQR

Now that we know the value of x, we can find the measure of PQR. Simply plug 46 in for x and solve.

This means that m∠PQR = 133°.

The standard price night cost at Night-Time Rest Days is $ 26.30 .

Average = Sum of all the observations/Number of observations

Substituting the values in the formula, we get that:

⇒ $ 20.60 = $( 22.45 + 18.55 + 24.50 + 11.20 + x )/5

⇒ $ 20.60 = $ (76.7 + x)/5

⇒ 20.60 × 5 = 76.7 + x

Solving to find the value of x, we get that

⇒ 103 = 76.7 + x

⇒ x = 103 - 76.7

⇒ x = 26.3

Therefore, the standard price night cost at Night-Time Rest Days is $ 26.30 .

"Learn more about average here-

https://brainly.com/question/1136789 "

#SPJ9

Answer:

CD=2

BC=3

A1B1=2.4

D1E1=3.2

For the boxes on the bottom:

BC=B1C1     CD=C1D1

A1B1=AB      D1E1=DE      

Answer:

BC = 3

CD = 2

A1 B1 = 2.4

D1 E1 = 3.2