Answer.... 32
when a number doubles, it is simply a higher power of 2
so there are 3 butterflies in the beginning, which can also be written as 3 * (2^0) where the 0 is the initial power, since anything to the 0 power is 1 (except for 0)
so the expression would be 3 * (2^n)
after 4 minutes, it would be 3 * (2^4) or 3 * 16 or 48
to find out how many are remaining, we know that she captured 7 of them, so it would be 3 * (2^4) - 7
for question 2, Jeff texts 4 classmates, and then they each text 4 classmates, so that would be 4^2 or 16, but since 2 people do it, it would be
32
i saw this on yahoo hope it helps
The number of butterflies after 4 minutes is represented by the expression 3 * 2^4. The number of butterflies remaining after Ellen captures 7 can be expressed as 3 * 2^4 – 7.
Explanation:Part A. We start with 3 butterflies and the number doubles every minute for 4 minutes. Therefore, the number of butterflies after 4 minutes is represented by the expression 3 * 2^4. In this expression, 2 is the base that is raised to the power of 4, representing the four times the initial number of butterflies doubles.
Part B. Ellen was able to capture 7 of the butterflies after 4 minutes. To find out the number of butterflies remaining, we subtract the number of butterflies captured by Ellen from the total number of butterflies after 4 minutes. This can be expressed as 3 * 2^4 - 7. Simplifying this expression will give us the number of butterflies remaining after Ellen's capture.
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Compare |−1.37| and |1.21|.
A) |−1.37| > |1.21|
B) |−1.37| < |1.21|
C) |−1.37| = |1.21|
D) |−1.37| ≤ |1.21|
The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.
Explanation:In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.
|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.
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An isosceles triangle has angle measures of 50, 50, and 80. The side across from the 80 angle is 10 inches long. How long are the other sides
Answer:
I believe it would be 7.8
Step-by-step explanation:
Answer:
7.78 (apex) :)
Step-by-step explanation:
A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms triples every hour. Which equation can be used to find the number of hours, h, it will take for the population to reach 6,561 algae blooms?
Table:
# of hours || algae blooms
0 1
1 3
2 9
3 27
Answer:
6,561 = 3h
Step-by-step explanation:
The equation B) [tex]\( 6,561 = 3^h \)[/tex] determines the number of hours, c[tex]\( h \)[/tex], for the algae population to reach 6,561 blooms.
1. Identify the exponential growth formula:
[tex]\[ N = N_0 \cdot r^h \][/tex]
2. Define the given variables:
[tex]- \( N \):[/tex] Final number of algae blooms = 6,561
[tex]- \( N_0 \):[/tex] Initial number of algae blooms = 1
[tex]- \( r \):[/tex] Growth rate = 3 (since the population triples every hour)
[tex]- \( h \)[/tex]: Number of hours (this is what we need to find)
3. Substitute the given values into the formula:
[tex]\[ 6,561 = 1 \cdot 3^h \][/tex]
4. Simplify the equation:
[tex]\[ 6,561 = 3^h \][/tex]
5. Result:
The equation B) [tex]\( 6,561 = 3^h \)[/tex] can be used to determine the number of hours, [tex]\( h \)[/tex], it will take for the algae population to reach 6,561 blooms.
Complete Question:
Which two tables represent the same function?
x y
4 8
6 7
x y
4 5
6 4
x y
2 8
8 5
x y
2 10
6 14
x y
2 9
8 6
Answer:
The 1st and the 5th tables represent the same function
Step-by-step explanation:
* Lets explain how to solve the problem
- There are five tables of functions, two of them are equal
- To find the two equal function lets find their equations
- The form of the equation of a line whose endpoints are (x1 , y1) and
(x2 , y2) is [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
* Lets make the equation of each table
# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)
∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7
∴ [tex]\frac{y-8}{x-4}=\frac{7-8}{6-4}[/tex]
∴ [tex]\frac{y-8}{x-4}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 8) = -1(x - 4) ⇒ simplify
∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides
∴ x + 2y = 20 ⇒ (1)
# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)
∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4
∴ [tex]\frac{y-5}{x-4}=\frac{4-5}{6-4}[/tex]
∴ [tex]\frac{y-5}{x-4}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 5) = -1(x - 4) ⇒ simplify
∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides
∴ x + 2y = 14 ⇒ (2)
# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)
∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5
∴ [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]
∴ [tex]\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 8) = -1(x - 2) ⇒ simplify
∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides
∴ x + 2y = 18 ⇒ (3)
# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)
∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14
∴ [tex]\frac{y-10}{x-2}=\frac{14-10}{6-2}[/tex]
∴ [tex]\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1[/tex]
- By using cross multiplication
∴ (y - 10) = (x - 2)
∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides
∴ -8 = x - y ⇒ switch the two sides
∴ x - y = -8 ⇒ (4)
# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)
∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6
∴ [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]
∴ [tex]\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 9) = -1(x - 2) ⇒ simplify
∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides
∴ x + 2y = 20 ⇒ (5)
- Equations (1) and (5) are the same
∴ The 1st and the 5th tables represent the same function
Answer:The 1st and the 5th tables represent the same function!!!!!!!
Solve -3n + 4 ≥ -8.
n ≥ 4
n ≤ 4
n ≥ -4
n ≤ -4
Answer:
n ≤ 4
Step-by-step explanation:
-3n + 4 ≥ -8.
Subtract 4 from each side
-3n + 4-4 ≥ -8-4
-3n ≥ -12
Divide by -3 on each side, remembering to flip the inequality
-3n/-3 ≤ -12/-3
n≤4
-3n + 4 ≥ -8 Subtract 4 on both sides
-3n + 4 - 4 ≥ - 8 - 4
-3n ≥ - 12 Divide -3 on both sides to get "n" by itself
n ≤ 4 (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))
The 2nd option is your answer
Find the value of -9-6-(-8)?
Answer,
-7
Explanation,
Hello! All we are doing here is simply subtraction :-)
-9 - 6 = -15
-15 - (-8) = -7
Hope This Helps :-)
Answer:
im pretty sure it is -7
Step-by-step explanation:
Jackson has n autographs in his autograph book. Yesterday he got 3 more autographs. Write an expression to show how many autographs are in his book now.
Final answer:
The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.
Explanation:
Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.
A shark can chase prey at about 30 miles per hour. What is the rate in miles per minute?
PLEASE HELP ME! THIS IS UNIT RATES AND I SUCK AT IT.
Answer:
Step-by-step explanation:
by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.
MATH HELP...PLz
Use inductive reasoning to find the next term in EACH sequence.
a. -6, -2, 2, 6, 10....
b. 10, 30, 90, 270, 810...
c. 17, 15, 11, 5, -3,...
a. 14, 18, 22, 26.... It is +4
b. 2,430, 7,290, 21,870..... It is x3
c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.
Hope this helps!
the following data shows the number of days prom tickets have been on sale and the total number of tickets sold. what is the linear regression equation to match the data?
Day (x) 1 2 5 7 10
Number of prom tickets sold (y) 30 35 55 60 70
Answer:
Linear regression is the relationship between two variables x and y
One variable is dependent and the other one is explanatory variable
Regression line equation is shown in the attachment please have a look at it.
Table and graph is shown in the file attached.
[tex]R^2\text{is the regression over two variables}[/tex]
x represents the number of days prom tickets have been on sale.
y represents total number of tickets sold.
15pts!
Without graphing, determine whether the system x - 3y = 11 and 2x - 6y = -5
has one solution, no solution, or infinitely many solutions.
64% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
-3(y+3)=2y+3 what does y equal?
[ Answer ]
Y = -12 / 5
[ Explanation ]
Expand:
-3y - 9 = 2y + 3
Add 9 to both sides:
-3y - 9 + 9 = 2y + 3 - 9
Simplify:
-3y = 2y + 12
Subtract 2y from both sides:
-3y - 2y = 2y + 12 - 2y
Simplify:
-5y = 12
Divide both sides by -5:
-5y / -5 = 12 / -5
Simplify:
Y = -12 / 5
<> Arsenal <>
At the end of the summer a store marks down the outdoor furniture 8% a family bought 4 chairs in June at 35$ each then 2 more chairs when they went on sale how much did all 6 chairs cost?
Answer:
$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40
If I have a 68.70 in the grade book and I get a 56/100 on a test that’s worth 20% of my grade what will my grade be now?
Answer:
Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺
Farmers often plant crops in circular areas because one if the most efficient watering systems for crops provides water in a circular area. Passengers takes an aerial photo of a field on which a circular crop area has been planted. He prints the photo out and notes that 2 centimeters of length in the photo corresponds to 100 meters in actual height.
1. What is the scale factor of the actual farm to the photo?
(A.) 1 to 50
(B.) 1 to 98
(C.) 1 to 56
(D.) 1 to 65
Answer:
A
Step-by-step explanation: Scale Factor is defined as a ratio between the actual figure to that of the other figure.
And as it is clearly given in the question that 2 cm of length corresponds to 100 meters so the ratio comes out to be 1:50.
So the scale factor of the actual farm to the photo is A that is 1 to 50.
The scale factor of the actual farm to the photo is 1 to 50.
To determine the scale factor of the actual farm to the photo, we can use the given information that 2 centimeters in the photo corresponds to 100 meters in actual height. Since the scale factor relates the lengths in the photo to the actual heights, we need to find the ratio of the length in the photo to the corresponding actual height. In this case, the scale factor is 2 centimeters / 100 meters, which simplifies to 1 centimeter / 50 meters. Therefore, the scale factor of the actual farm to the photo is 1 to 50.
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The table shows the number of boys and girls that have black, blonde, brown, or red hair color. What portion of the girls have brown hair? (round to nearest hundredth) A) 0.20 B) 0.22 C) 0.40 D) 0.44
Answer:
a
Step-by-step explanation:
i just took this
In a parallelogram MNOP, PK=5x and KN =x(squared) -14
What is PN
Answer:
PN = 70
Step-by-step explanation:
using the property that the diagonals bisect each other, then
PK = PN
5x = x² - 14 ( rearrange into standard form )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
but x > 0 ⇒ x = 7
PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70
3/7 = x/42
Fill in the blank to make the two fractions equivalent.
Answer:
x = 18
Step-by-step explanation:
multiplying the denominator of 7 by 6 gives 42, the denominator of the fraction on the right side.
Since the fractions are equal we must then multiply the numerator of the fraction on the left by 6
3 × 6 = 18 ⇒ x = 18
evaluate the expression
6+4 divided 2 - 3 X2
Answer:
2
Step-by-step explanation:
PEMDAS is the order of operations.
There are no parenthesis, so we can ignore that.
Same with exponents, there arent any in this equation.
MD means you have to multiply or divide before you add or subtract. Wether you multiply or divide first depends on which comes first left to right. So, we divide 4 by 2, which is 2
Our present equation is 6+2-3x2
Now, we multiply 3 by 2.
Our present equation is now 6+2-6
Now, we simply add and subtract, depending on which comes first left to right. Add 6 and 2.
8-6
Now subtract.
Our answer is 2.
Hope this helps! (Please give brainliest I just need one more!)
Please evaluate. I have no idea what to do with this one.
Answer: The first box would have the value 504, while the second box has the value 84
==========================================================
Work Shown:
nPr = (n!)/(n-r)!
9P3 = (9!)/(9-3)!
9P3 = (9*8*7*6!)/(6!)
9P3 = 9*8*7
9P3 = 504
--------
nCr = (nPr)/(r!)
9C3 = (9P3)/(3!)
9C3 = (504)/(3*2*1)
9C3 = 504/6
9C3 = 84
note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.
9 pencils cost $7.74 which equation would help determine the cost of 6 pencils
To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.
Explanation:To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:
Divide both sides of the equation by 9: x = 7.74 / 9.Calculate the result: x = 0.86 (rounded to two decimal places).Now, to find the cost of 6 pencils, multiply the cost of one pencil by 6: 6 × 0.86.Therefore, the cost for 6 pencils is $5.16 (rounded to two decimal places).The running time for each male and female runner in a race can be represented as an ordered pair
true or false?
this is for math 1 data analysis.
Ordered pairs can be used to represent the running times for male and female runners in a race, allowing for effective data analysis and comparison. The correct statement is option a) True.
The running times for each male and female runner in a race can indeed be represented as an ordered pair. This is true because an ordered pair (e.g., (time, gender)) can be used to encapsulate two pieces of related information about each runner's performance. In your math 1 data analysis, this approach enables the comparison of run times between different runners or across genders, which could be useful when analyzing the data and looking for patterns or trends.
For example, if a female runner finished a race in 2 hours, 30 minutes, and a male runner finished in 2 hours, 45 minutes, their running times could be represented by the ordered pairs (2:30, Female) and (2:45, Male) respectively. This compact representation is particularly helpful when you want to create a visual display of the data, such as a scatter plot, or perform statistical analysis to investigate questions such as improvements in run times or the closing of the gender gap.
Thus, the correct statement to the student's question is option a) True.
hEY YOU! PLEASE STOP SCROLLING AND HELP ME?! I’LL GIVE YOU MY MOM (she makes rlly good cookies) A few years ago, a total of 2692 thousand people lived in metropolitan areas of LA, Nevada, and Sacramento. Sacramento had 284 thousand more residents than LA. What was the population of each metropolitan area? What was the population of Sacramento? What was the population in LA?
Answer:
Nevada haves 3 million people and sacramento haves 495,234 people so if we add them it would be 3,495,234
Step-by-step explanation:
Answer: Is your mom hot
. Points A (-1,y) and B(5,7) lie on a circle with centre O(2, -3y). Find the values of y. Hence find the radius of the circle
Answer: y = 7, y = -1
Step-by-step explanation:
Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.
[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]
Corey used the regression equation y = 1.505x − 88.21, where x is the temperature and y is the number of swimmers, to determine a possible outside temperature when 80 swimmers are at City Pool. 1. y = 1.505(80) − 88.21 2. y = 120.4 − 88.21 3. y = 32.19 4. If there are 80 swimmers at the pool, the temperature is likely to be 32.2°F. Analyze Corey’s work to find his error. What is Corey’s mistake?
x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80
This is how Corey should have solved
y = 1.505*x - 88.21
80 = 1.505*x - 88.21 <--- replace y with 80
1.505*x - 88.21 = 80
1.505*x = 80 + 88.21 <--- add 88.21 to both sides
1.505*x = 168.21
x = 168.21/1.505 <--- divide both sides by 1.505
x = 111.767
x = 111.8
If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.
Answer:
If you don't want to read all of that the answer is:
A- He substituted 80 for x instead of y.
Step-by-step explanation:
I just did it on Edge 2020 and got it right...
the second time
PLEASE MARK ME BRAINLIEST!!Margaret goes to the county fair with $35. Rides cost $3 each. Write an equation that gives the amount of money m that Margaret has as a function of the number of rides r that she takes.
Answer:
11.
Step-by-step explanation:
I got the answer of 11, as I:
-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.
Hope this helps!
--Emilie Xx
Answer:
3r = 35
Step-by-step explanation:
Margaret goes to the country fair with $35.00
Each rides cost at the fair = $3.00
Let she can take number of rides = r
The cost of rides = 3r
She has $35 so the equation will be
3r = 35
r = [tex]\frac{35}{3}[/tex]
r = [tex]11\frac{2}{3}[/tex]
Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00
So she has left $2.00 with her.
How to write into an equation
[tex]\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74[/tex]
what is the slope of the line?
-2
- 1/2
1/2
2
Answer:
-1/2
Step-by-step explanation:
Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.
I hope that helps u out!!
Good luck! :)
Answer:
-1/2
Step-by-step explanation:
Grab a graphing calculator and enter the two points into STAT.
Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer
:)
What is the value of x?
x = 2.25
x = 11.25
x = 13
x = 22
Answer:
x=22
Step-by-step explanation:
The exterior angle is the sum of the 2 opposite interior angles of a triangle
6x+1 = 79+2x+10
Combine like terms
6x+1 = 89+2x
Subtract 2x from each side
6x-2x+1= 2x-2x+89
4x+1 = 89
Subtract 1 from each side
4x+1-1 =89-1
4x = 88
Divide by 4
4x/4 = 88/4
x =22