The squirrel will collect a total of 252 acorns in the 21 days before the winter storm. This is calculated by multiplying 12 acorns/day by 21 days. Instead of retaliating against a bear, the squirrel should focus on preparing for winter.
Explanation:If the squirrel collects 12 acorns a day and there are 21 more days until the big winter storm, we can calculate the total number of acorns the squirrel will collect. We do this by multiplying the number of acorns collected per day by the number of days remaining, which gives us:
12 acorns/day × 21 days = 252 acorns
After 21 days, the squirrel will have accumulated 252 acorns more than the original amount she had before the given 21-day period.
Regarding what the squirrel should do to get even with the bear for eating the acorns, it's important to remember that animals in nature often have to deal with challenges like this. The squirrel could focus on collecting more acorns, perhaps finding a better hiding place to store them, to prepare for the winter storm. However, revenge actions, such as retaliating against the bear, are not advisable nor part of natural behaviors in wildlife, and focusing on preparations for winter would be a more practical approach for survival.
What is the place value of the 5 in 5,675.321
The value of the 5 in 5,675.321 could be either five thousands or 5 ones...
Not sure which one so I put both... hope this helps. Let me know if not and / or you need any more help. :)
The value of 5 is Millions.
To help I will define all the numbers for you to help better understand.
5 is million, 6 is hundred thousands, 7 is ten thousand, 5 is thousand, 3 is tenths, 2 is hundredths, 1 is thousandths.
Arrange the expressions in ascending order of their values when x = -2.
The expressions in ascending order of their values when x = -2. D < A < B < C.
Given Equation:
A. (1 - x²)/(1 - 2x) = -0.6
B. (x² - 1)/(1 - 2x) = 0.6
C. (2x² + 2)/2 = 3
D. (3x² + 1)/ 2(x - 1) = -1.16
Therefore, the expressions in ascending order of their values when x = -2.
-1.16 < -0.6 < 0.6 < 3.
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37,204.182 rounded to the nearest tens place
37,204.190 (I'm sorry if this is wrong I'm not exactly the brightest cookie in the jar :P XD)
Which best describes what a market index does?
A. An index measures market performance
B. An index measures economic trends
C. An index measures growth
D. An index measures the performance of a single stock.
Answer: A. An index measures market performance.
Step-by-step explanation:
Years ago, investors needed to analyze the overall performance of the market, so it was necessary to find the best way to know it. For this reason, the "Market index" was created. This is a method that is applied to measure the behavior of the market or, in other words, to measure the market performance. This index is then represented graphically with a curve.
The market index is used to measure market performance.
What is market index?The term market index refers to an index that is used to measure market performance. It serves as a guide to potential investors in a market.
Hence, the term which best describes the market index is that it is; "An index measures market performance".
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Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate length of one of her garden?
(a) 6 feet
(b) 7 feet
(c) 8 feet
(d) 9 feet
Answer:
The correct option will be: (b) 7 feet.
Step-by-step explanation:
Suppose, the length of the garden is [tex]x[/tex] feet.
As the shape of the garden is like a square, then the area of the garden will be: [tex](length)^2 = x^2[/tex] feet²
Given that, the area is 52 square feet. So, the equation will be.......
[tex]x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7[/tex]
So, the approximate length of the garden will be 7 feet.
Is 11.5 bigger than 8.5?
yes 11.5 is bigger than 8.5 by 3
Answer:
Yes
Step-by-step explanation:
Because the first 2 numbers are bigger than the 2nd number
In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city. In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million. If the Earth can only withstand 1 billion gamma ray bursts, in what year will this become a problem? (Find the year in which the gamma ray bursts is 1 billion.)
In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city.
We assume at 2000, t=0.
When t=0 then gamma ray bursts y= 6.4 million. that is (0,6.4)
In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million
In 2005 , t= 5
When t=5 then gamma ray bursts y= 7.3 million. that is (5, 7.3)
Frame an equation using (0,6.4) and (5, 7.3)
Use equation y = a(b)^t and solve for a and b
(0,6.4) => [tex]6.4=a(b)^0[/tex] so a= 6.4
(5, 7.3) => 7.3=6.4(b)^5
[tex]\frac{7.3}{6.4} = b^5[/tex]
Now take fifth root on both sides
b= 1.0266
So the equation becomes [tex]y= 6.4(1.0266)^t[/tex]
Now we need to find out t when gamma ray bursts 1 billion
1 billion = 1000 millions
So we replace y by 1000 and we solve for t
[tex]y= 6.4(1.0266)^t[/tex]
[tex]1000= 6.4(1.0266)^t[/tex]
Divide by 6.4 and take ln on both sides
[tex]ln(\frac{1000}{6.4} )= ln(1.0266)^t[/tex]
We move the exponent 't' before ln
[tex]ln(\frac{1000}{6.4} )=t * ln(1.0266)[/tex]
Now divide both sides by ln(1.0266)
[tex]\frac{ln(\frac{1000}{6.4})}{ln(1.0266)} =t[/tex]
t = 192.419
It will take around 192 years
2000+ 192= 2192
In 2192, the gamma ray bursts is 1 billion
Iona's favorite peaches are are $2.50 per pound at the local Farmers Market she bought 3.5 lb of peaches how much did she spend
Final answer:
Iona spent $8.75 on peaches after buying 3.5 pounds at $2.50 per pound at the local Farmers Market.
Explanation:
Iona's favorite peaches cost $2.50 per pound at the local Farmers Market, and she purchased 3.5 pounds of peaches. To calculate the total cost, we multiply the price per pound by the number of pounds purchased:
Total cost = Price per pound × Number of pounds
Total cost = $2.50 × 3.5
Total cost = $8.75
Therefore, Iona spent $8.75 for the peaches at the local Farmers Market.
What is the approximate area of the shaded sector in the circle shown below?
Alright, so first we find the area of the whole circle using pi r squared
12^2 pi = 144 pi
Now we use the proportions of the sector and the whole circle:
30:360 (degrees; we will be using the same for the other ratio)
= x:144pi
1:12 = x:144
This basically equals
12x = 144
x = 12, and now we multiply pi, so 12 x 3.14 = 37.7 cm^2.
The first option is correct.
Answer: a. 37.7
Step-by-step explanation: a p e x
how many bytes is in a gig? and how many bits are in a gig?
there are 1000 mega bytes in a gig and bits is 100,000 i believe
Remark
There are 1000 bytes in 1 kilobyte
There are 1,000,000 bytes in a megabyte
There are 1,000,000,000 bytes in a Gigabyte.
There are 8 times as many bits as bytes in Gigabyte = 8 * 1,000,000,000 = 8,000,000,000 bits.
Manny fox’s charge account statement showed a previous balance of $550, a finance charge of $3, new purchases of $600, and a payment of $250. What is his me balance
550+ 3+600 -250=
add the finance charges and the purchases and subtract the payment
1153-250=
903
Answer:
903
Step-by-step explanation:
550+3+600=1,153
1,153-250=903
You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120. Write and solve an inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer
Answer:
x >= 42$
Step-by-step explanation:
78$ + x >= 120$
78$ + x >= 120$ /-78$
x >= 42$
The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120.
Let 'x' be the amount of money you need to reach. Then the inequality is given as,
x + $78 ≤ $120
Simplify the equation, then we have
x + $78 ≤ $120
x ≤ $120 - $78
x ≤ $42
The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.
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Solve for x. −2(x+1/3)+9x=4 Enter your answer in the box.
x= 2/3
ik because i had the same question hope it will help.
Gotcha!
If you would like for me show my work just let me know.
The answer would be x=2/3 or x=0.666.....
rubin drew this diagram of his garden.how can you dividethe shape to find the area?
ANSWER
We can divide in to two rectangles as in the attachment.
We then find the area of each rectangle and add together.
The area of the bigger rectangle is
[tex]A_1= 4\times 8[/tex]
[tex]A_1= 32 m^2[/tex]
The area of the smaller rectangle i
[tex]A_2= 4\times 6[/tex]
[tex]A_2= 24 m^2[/tex]
Hence the area of the figure is
[tex]Area=32+24[/tex]
[tex]Area=56 m^2[/tex]
Answer:
Divide it into a square and a rectangle
The area is 56 m^2
Step-by-step explanation:
First, you have to divide the shape to get easier shapes to find the area. We are going to draw a line and we will get a square and a rectangle. This is in the attachment.
We know that to get the area of a square and a rectangle we use the formula:
A=b*h
where
A is the area
b is the base
h is the height
After drawing the line we get a square of 4m each side and a rectangle with b=10 m and h=4m.
Now we get the area of each of the shapes.
Square:
A = 4m * 4m
A = 16 m^2
Rectangle:
A = 10m * 4m
A = 40m^2
Now we add the area of the rectangle and the area of the square to get the total area:
Total Area = 16m^2 + 40m^2
Total Area = 56m^2
find two consecutive integers whose product is 702
2 consecutive integers with the product of 702 are 27 • 26, or since the question doesn’t specify whether it should be positive or negative, it could also be (-27) • (-26)
Final answer:
The two consecutive integers whose product is 702 are found by solving the quadratic equation n² + n - 702 = 0. Factoring the equation leads to the integers 26 and 27.
Explanation:
To find two consecutive integers whose product is 702, we can denote the first integer as 'n' and the second as 'n+1'. Then the equation to represent their product is n(n+1) = 702. To find the value of 'n', we solve the quadratic equation
n² + n - 702 = 0.
Factoring the quadratic equation, we look for two numbers that multiply to -702 and add up to 1. We find that 26 and -27 meet these criteria. So the equation factors to (n + 27)(n - 26) = 0. The two possible values for 'n' are -27 and 26.
The two consecutive integers are 26 and 27 because -27 gives negative integers which do not result in a positive product of 702. Therefore, the two consecutive integers whose product is 702 are 26 and 27.
While the trio is singing a song badly 35 drink glasses are broken if there are 45 tables with 5 glasses each table how many glasses are broken
The answer is 190.
If the total amount of glasses is 5 per table and there are 45 total tables, there are 45*5 (225) total glasses before any are broken. 225 - 35 glasses (because they're broken) is 190.
The remaining glass is 190.
What is arithmetical operation?Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
Given that, the trio is singing a song badly 35 drink glasses are broken, there are 45 tables with 5 glasses each table
If the total amount of glasses is 5 per table and there are 45 total tables, then,
there are 45*5 (225) total glasses before any are broken.
225 - 35 glasses (because they're broken) is 190.
Hence, The remaining glass is 190.
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USING ROA FORMULA , ANSWER IS IN % FORM. IM STUMPED. THE ABC COMPANY HAS NET INCOMEO OF $56K, ASSETS AT THE BEGINNING OF THE YEAR ARE $263K, AND ASSETS AT THE END OF YEAR ARE $313K, WHAT IS THE COMPANYS RETURN ON ASSETS?
You need to calculate the average assets in that year, then use the ratio formula:
average assets: (263k+313k)/2 = 288k
ROA = 56k/288k = 0.194...
The company's return on assets is 19.4%
General admission to the State Fair of Texas is $16.00. For guests to ride the various rides, they must use coupons needed for each ride varies. The representative function for the situation is C(x) = 0.5x + 16, where C(x) represents total cost as a function of the number of coupons, x. What is the domain for visiting and riding rides at the State Fair of Texas?
A. All integers greater than or equal to 0
B. All real numbers greater than or equal to 0
C. All real numbers
D. All integers greater than or equal to 16
D. all integers greater than or equal to 16
In the problem 100 ÷ 25 = 4, the _____ is 100.
Answer:
dividend
Step-by-step explanation:
You are dividing 100 by 25. The '100' is referred to as the "dividend:" the quantity being divided by the divisor (25).
Seven busloads each carrying 35 students arrived at the gam e, joining 23 students who were already there.Evaluate the expression 23+(7×35) to find the total number of students at the game.
SHOW WORK AND SHOW ANWSER CLEARLY
Answer:
268
Step-by-step explanation:
We have been given an expression [tex]23+(7\times 35)[/tex], which represents the total number of students at the game.
We are asked to evaluate the given expression.
[tex]23+(245)[/tex]
[tex]268[/tex]
Therefore, the total number of students at the game is 268.
A coin had a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?
P = P₀ (1 + r)ⁿ
= 1.17(1 + 0.09)⁵
= 1.17(1.09)⁵
= 1.17(1.5386)
= 1.80
Answer: $1.80
Note: If you don't know the formula, you could calculate each year.
Year 0: $1.17
Year 1: $1.17 + $1.17(0.09) = $1.2753
Year 2: $1.28 + $1.28(0.09) = $1.3948
Year 3: $1.39 + $1.39(0.09) = $1.5155
Year 4: $1.51 + $1.51(0.09) = $1.6464
Year 5: $1.65 + $1.65(0.09) = $1.7982 which rounds up to $1.80
The value of the coin after 5 years is $188.33.
To find the value of the coin after 5 years, we can apply the compound interest formula. First, convert the initial value of $1.17 to $117 (since we are dealing with percentages). Next, calculate the value after 5 years using the formula: future value = present value × (1 + growth rate)^n. Plugging in the values, we have: future value = $117 × (1 + 0.09)^5 = $117 × 1.6097 = $188.33.
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3.48 for 6 bananas what is the cost per pound
Hi!
If the total for 6 bananas is $3.48, then we would simply divide 3.48 by 6 to get the price for 1 banana. So, 3.48 divided by 6 equals $0.58.
Hope this helps!
3(2 – 0.9h) (1.3h 4)
If you are solving for "h" here you go.
Simplifying
3(2 + -0.9h) + (-1.3h + -4) = 0
(2 * 3 + -0.9h * 3) + (-1.3h + -4) = 0
(6 + -2.7h) + (-1.3h + -4) = 0
Reorder the terms:
6 + -2.7h + (-4 + -1.3h) = 0
Remove parenthesis around (-4 + -1.3h)
6 + -2.7h + -4 + -1.3h = 0
Reorder the terms:
6 + -4 + -2.7h + -1.3h = 0
Combine like terms: 6 + -4 = 2
2 + -2.7h + -1.3h = 0
Combine like terms: -2.7h + -1.3h = -4h
2 + -4h = 0
Solving
2 + -4h = 0
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -4h = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -4h = 0 + -2
-4h = 0 + -2
Combine like terms: 0 + -2 = -2
-4h = -2
Divide each side by '-4'.
h = 0.5
Simplifying
h = 0.5
You're welcome! C:
Stefano had $46 in a bank account that he was not using. Each month
for three months, the bank withdrew ¼ of this amount as a service fee.
How much was left in the account after the last withdrawal?
Final answer:
After three monthly withdrawals of ¼ of the account balance from Stefano's initial $46, he is left with $19.41 in his account.
Explanation:
To calculate how much money Stefano has left in the account after each monthly withdrawal of ¼ of the account balance, we will need to subtract ¼ of the balance three times, once for each month.
Initial amount in Stefano's account: $46
First withdrawal: 1/4 of $46 = $11.50 Stefano's balance after first withdrawal: $46 - $11.50 = $34.50
Second withdrawal: 1/4 of $34.50 = $8.625 Stefano's balance after the second withdrawal: $34.50 - $8.625 = $25.875
Third withdrawal: 1/4 of $25.875 = $6.46875 Stefano's balance after third withdrawal: $25.875 - $6.46875 = $19.40625
After the last withdrawal, Stefano has $19.41 in the account (rounded to the nearest cent).
what are the slopes of line A and line B? Look at the picture
we can mark points on the graph shown , check the image I have shared with this for the points .
Formula for slope = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
So for Line A points are (1,3) and (0,-1)
So using t he formula slope is = [tex]\frac{-1-3}{0-1}[/tex]
slope of line A =4
For Line B the points are (0,4) and (3,-5)
So using t he formula slope is = [tex]\frac{-5-4}{3-0}[/tex]
slope of line B = -3
What is the aswer of 2\3x = 12.
For this case we must solve the following equation:
[tex]\frac {2} {3x} = 12[/tex]
We multiply by 3x on both sides of the equation:
[tex]2 = 12 * 3x\\2 = 36x[/tex]
We divide between 36 on both sides of the equation:
[tex]x = \frac {2} {36}[/tex]
We simplify:
[tex]x = \frac {1} {18}[/tex]
Answer:
[tex]x = \frac {1} {18}[/tex]
the arena of a tennis corurt is 2808 square feet. find the length of the court if it is 36ft wide
A tennis court is a rectange.
The area of a rectange is equal to length * width.
A = l*w
2808 = l * 36 (Divide both sides of the equation by 36)
L = 78
The area of a 2D form is the amount of space within its perimeter. The length of the court is 78 ft.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the arena of a tennis court is 2808 square feet, while the width of the court is 36ft wide. Therefore, the length of the arena can be written as,
Area of court = Length of the court × Width of the court
2808 sq. feet = Length of the court × 36 feet
Length of the court = 2808 ft² / 36 ft
Length of the court = 78 ft
Hence, the length of the court is 78 ft.
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PLEASE HELP ME !!!!!!!!!!!!
At Southside Middle School, 40% of the students play an instrument. There are 305 students. How many students play an instrument?
A.40 students
B.140 students
C.122 students
D. 256 students
Also show your work
Answer:
122 students (Answer C)
Step-by-step explanation:
40 percent of the 305 total students comes out to 0.40(305 students), or
122 students.
This corresponds to answer C. 122 students play an instrument.
at two compartive car repair shops a random selection of 8 cars is taken
Which equation represents the total commission (c) a sales associate receives if he sells 15 laptop computers (l)? What is the total commission if the commission for selling each computer is $39.95?
A. l = 15c; $2.66
B. c = 15l; $2.66
C. c = 15l; $599.25
D. l = 15c; $599.25
Answer : C
the total commission (c) a sales associate receives if he sells 15 laptop computers (l)
Total commission = number of laptops * commission for each laptop
Total commission is c
number of laptops is 15
commission for laptop is l
C = 15 * I
So c= 15l
the commission for selling each computer is $39.95
c= 15l
c = 15 * 39.95 = 599.25