Answer:
The number of days it take to reach half its height is 99 days
Step-by-step explanation:
The given parameters are;
The height to which the beans stalk grew daily = Twice the initial height
The time duration for the bean stalk to reach maximum height = 100 days
Therefore, the growth of the bean stock is in the form of a geometric progression with a common ratio, r = 2
The formula for a geometric progression = a×r⁽ⁿ⁻¹⁾
Therefore, the height of the bean is given by the formula a×r⁽ⁿ⁻¹⁾
Where;
The first term = a = 1 (for analysis)
The number of terms (days) = n = 100 for 100 days
Therefore, we have;
After 100 days, the height of the bean = 1×2⁽¹⁰⁰⁻¹⁾ = 2⁹⁹ = 6.34 × 10²⁹
Half the height = 6.34 × 10²⁹/2 = 3.1291265 × 10²⁹
Which gives;
1×2⁽ⁿ⁻¹⁾ = 3.1291265 × 10²⁹
n - 1 = ㏒(3.1291265 × 10²⁹)/㏒(2) = 98
Which gives;
n - 1 = 98
n = 98 + 1 = 99 days.
Evaluate 6 - 2(-1) +1|-5|= 1
a.9
b.1
c.13
Answer:
c
Step-by-step explanation:
Subtract b (b²+b -7) + 5 from 3b² – 8 and find the value of expression obtained for b = -3. please explain how you got the answer
Answer:
16
Step-by-step explanation:
Subtracting the 2 expressions
3b² - 8 - b(b² + b - 7) ← distribute parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16
What is the greatest common factor of 3x^43x 4 3, x, start superscript, 4, end superscript, 15x^315x 3 15, x, cubed, and 21x^221x 2 21, x, squared?
Answer:
3x²Step-by-step explanation:
Given three functions 3x⁴, 15x³and 21x², the greatest common factor is the greatest value that can divide through the three functions at the same time.
To get this GCF, let us divide each functions into simplest form
3x⁴ = (3 *x * x) * x * x
15x³ = 5 * (3 * x * x) * x
21x² = 7 * (3 * x * x)
It can be seen that the product in parenthesis is common to the three functions given on expanding them, hence the greatest common factor of the three functions is 3 * x * x = 3x²
You need to buy canning jar. They cost $15 a box, and you only have $150 to spend. You also have a coupon that will give you a $25 discount on your total. What is the maximum number of boxes you can buy?
Answer:
You can buy a maximum number of 11 boxes
Step-by-step explanation:
The first step is to calculate the number of boxes that you can afford with the $150 without the discount. This can simply be done by dividing $150 by $15
= 10 boxes.
The next step is to calculate the effect of the discount on the total of $150. The $25 discount will increase your average sum to $175. This extra $ 25 can afford you one more box. bringing the total number of boxes to 11.
You can buy a maximum number of 11 boxes
A cylinder is shown with a base diameter of 6 centimeters and a height of 8 centimeters. What is the minimum number of identical containers Rene would need to make 2,000 cm3 of ice? (Use π = 3.14.)
Answer:
Rene needs 9 of these identical cylinder.
Step-by-step explanation:
diameter d = 6 cm
height h = 8 cm
volume of this cylinder v = [tex]\pi d^{2}h/4[/tex]
substituting, we have
v = (3.142 x [tex]6^{2}[/tex] x 8)/4
v = 226.224 cm^3
minimum number of identical containers Rene should use should be
n = 2,000/226.224 = 8.8
The minimum number must be a whole number, and must completely make this 2000 cm^3 volume of ice or more
answer will be 9
Please Help! 15 Points. Which of the following can be used to rewrite the expression (3)(2+c)? There are two correct answers. A. Commutative Property of Multiplication B. Associative Property of Addition C. Associative Property of Multiplication D. Commutative Property of Addition
Answers:
A. Commutative Property of Multiplication
D. Commutative Property of Addition
=======================================
Explanation:
The commutative property of multiplication is the idea we can multiply two numbers in any order. The rule is x*y = y*x
An example would be 2*3 = 3*2 since both sides result in 6.
The same applies to 3*(2+c) because it can be written as (2+c)*3. Simply flip the two factors 3 and (2+c).
--------------------
A similar idea is the commutative property of addition. This rule says that we can add two numbers in any order we want.
x+y = y+x
An example would be 7+9 = 9+7 because both sums result in 16
Using this rule, we can rewrite 2+c as c+2
Therefore 3(2+c) is the same as 3(c+2)
--------------------
We can't use any associative properties because we would need to have 3 terms being either added or 3 terms being multiplied, for associative rules to apply.
For instance 1+(2+3) = (1+2)+3 is an example of the associative property of addition. An example of the associative property of multiplication would be 3(7*9) = (3*7)*9
What is the equation of a vertical line passing through the point (-4, 7)?
Answer:
x=-4
Step-by-step explanation:
Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4
Which are equivalent to Two and one-third times three-fourteenths? Check all that apply. One-half,Six-thirds times three-fourteenths, Seven-thirds times three-fourteenths, 18/42, 21/42
Answer:
Step-by-step explanation:
[tex]2\frac{1}{3}*\frac{3}{14}=\frac{7}{3}*\frac{3}{14}=\frac{1}{2}\\\\[/tex]
option 1)one- half
1/2
Option 3) Seven-thirds times three fourteenths
[tex]\frac{7}{3}*\frac{3}{14}=\frac{1}{2}\\\\[/tex]
Option 5) 21/42
[tex]\frac{21}{42}=\frac{1}{2}[/tex]
Students in the marching band are choosing new colors for the hats and the pants of their
uniforms. For each item, they can choose yellow (Y), green (g), or black (B). Which table
represents the sample space of choosing one color for the hat and one color for the pants?
Answer:
The sample space table is shown below.
Step-by-step explanation:
It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.
The color options for each item are:
yellow (Y), green (G), or black (B).
The sample space for the color selection of hats and pants is:
Sample Space
Hats Pants
Y Y
Y G
Y B
G Y
G G
G B
B Y
B G
B B
There are a total of 9 possible selections.
The number of the total possible selections is 9.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.
The colour options for each item are:
yellow (Y), green (G), or black (B).
The sample space for the color selection of hats and pants is:
Sample Space
Hats Pants
Y Y
Y G
Y B
G Y
G G
G B
B Y
B G
B B
There are a total of 9 possible selections.
To know more about combinations follow
https://brainly.com/question/11732255
#SPJ5
help meeeeee plllllsssss 10pts + brainliest!!!!
Answer:
[tex]\frac{3*(8e-4f-1)}{8}[/tex]
I hope this helps. Sorry for a late response. I used
tiger-algebra.com
PEACE!☘️
The amount of money spent at the gas station varies directly with the number of gallons of gas purchased. 12 gallons of gas costs $36.00. How much would 8 gallons of gas cost?
Answer:
$24.00
Step-by-step explanation:
12 = 36
8 = x
=> Cross multiply
=> 12 * x = 36 * 8
=> 12x = 288
=> 12x / 12 = 288 / 12
=> x = 24
8 gallons of gas costs $24.00.
8 gallons of gas will cost $24.
What are the types of variation or proportion ?There are two types of variations direct variation and inverse variation.
In direct variation between two quantities if one variable increases the other also increases and vice versa.
In inverse variation of two quantities if one variable increases the other variable decreases and vice versa.
In the given question
12 gallons of gas costs $36
∴ 8 gallons of gas will cost (36 × 8)/12 gallons
= $24
Learn more about Direct and inverse proportion here :
https://brainly.com/question/20391784
#SPJ2
help me please I've tried for hourss
Answer:
I = BLv/R
Step-by-step explanation:
V = BLv
V = IR
Since both right sides are equal to V, set the right sides equal to each other.
IR = BLv
I = BLv/R
Find the x-intercepts of the parabola.
g(x)=−x2−6x−5
Answer: The x intercepts are -1 and -5 or (-1,0) and ( -5,0)
Step-by-step explanation:
Finding the x intercepts of a parabola is the same as finding the roots of a parabola because the x intercept is when y or g(x) is equal to zero. So set the equation equal zero.
[tex]-x^{2} -6x -5 = 0[/tex] First divide each term by 0 to get the largest degree coefficient to equal 0.
x^2 + 6x +5 = 0 Now find two numbers that their product is 5 and their sum is 6. The numbers 5 and 1 works out because the 5 times 1 is 5 and 5 plus 1 is 6.
Rewrite the whole equation as
x^2 + 1x+5x +5 = 0 Now factor the left side by grouping
x(x+1) 5(x+1) = 0 Factor out x+1
(x+1) (x+5) = 0 Now use the zero product by setting each of them equal zero.
x+ 1 = 0 or x+5 = 0
-1 -1 -5 -5
x = -1 or x = -5
What is the product of (negative 6) (negative 7) (negative 1)?
Answer:
-42
Step-by-step explanation:
negative * negative = positive
positive * negative = negative
negative * positive = negative
(-6)(-7)(-1) =
= 42(-1)
= -42
Answer:
-42
Step-by-step explanation:
negative * negative = positive
positive * negative = negative
negative * positive = negative
(-6)(-7)(-1) =
= 42(-1)
= -42
Which of the following correctly uses exponents to write "6 factors of 2"?
2 6
6 ∙ 2
12
6 2
Answer:
First one
Step-by-step explanation:
If you mean 2 to the sixth power, then it's for sure the first one.
Answer:
2^6
Step-by-step explanation:
Elena is trying to draw a triangle with side lengths 4 cm, 3 cm, and 5 cm. She uses her ruler to draw a 4 cm line segment AB. She uses her compass to draw a circle around point B with radius 3 cm She draws another circle, around point A with radius 5 cm. What should Elena do next? Explain how she can finish drawing the triangle?
All you have to do is find where the two circles intersect with each other ( where they meet ) and then draw your 5cm line from A to the intersection and the 3cm line from B to the intersection.
It should form a triangle*.
* The image should help you.
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
The ratio of adults to children on a train in 7:2. There are 245 adults on the train. Find the total number of people on the train?
Answer:
315 people
Step-by-step explanation:
Using the given ratio, we can figure out the number of children on the train by doing cross multiplication.
Let x = # of children on train.
7/2 = 245/x
7x = 490
x = 70 children
The total number of people = 70 + 245 = 315 people total
If you would like more help on math or other subjects for FREE, check out growthinyouth.org.
A bag contains 7 red marbles, 8 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
7/51
Step-by-step explanation:
Assuming that the marbles are drawn without replacement, the probability of the first marble being drawn is 7/(7+8+3) which is 7/18.
The probability of the second marble being red is 6/17, as there are 6 red marbles left and 17 marbles in the bag.
We then multiply 7/18 and 6/17, getting 7/51.
hi, please help a sis out :))
Answer:
The value of x is 16 and the width is 4.
Step-by-step explanation:
The area of a rectangle is the length multiplied by the width, which is [tex]9\sqrt{x}[/tex].
So, [tex]9\sqrt{x}[/tex] = 36.
We divide both sides by 9, getting [tex]\sqrt{x}[/tex] = 4.
We then square both sides, getting x = 16.
The value of x is 16, and the width is 4.
Which set of side length is a Pythagorean triple? A. 2,3,13 b. 5,7,12 C. 10, 24, 29 D. 11,60,61
Answer:
B. 5,7,12 is what I got.
A manufacturer determines that the cost of making a computer component is $4.252525. Write the
repeating decimal cost as a fraction and as a mixed number. The cost written as a fraction is???
Answer:
4 25/99 is the mixed fraction.
25/99 is the fraction
What is the answer to m^7 · m^−3?
Answer:
M^4
Step-by-step explanation:
Here use product law which state- same base power should add
M^7-3
M^4
Is 22+ 32 = 42 a true statement? Explain.
Jake's morning run was a distance of 9.3 miles. He ran back and forth on one long straight street. He started at his house and ran to the school 4 miles away. Then he ran to the library, and then he ran back to his house. What are possible distances the library could be from the house?
Answer: the distances can be 0.65 miles (in the opposite direction to the school) or 4.65 miles (in the same direction as the school)
Step-by-step explanation:
Ok, the data that we have is:
Total distance = 9.3 mi.
The travel is:
House to school = 4 mi.
school to library = A
library to house = B
Now, we have that:
4mi + A + B = 9.3mi.
We have three possibilities:
1) The order of locations is: house, library, school
The travel from: school to library + library to house is equivalent to a travel between the school to the house = 4mi.
Then we have A + B = 4mi
4mi + A + B = 8mi ≠ 9.3mi
Then the library can not be between the house and the school.
2) The order of locations is: house, school, library.
In this case we have that the distance between the library and the house is equal to the distance between the house and the school plus the distance between the school and the library, then:
4mi + A = B.
We can replace this in our original equation:
4mi + A + B = 9.3mi
4mi + A + (4mi + A) = 9.3mi
8mi + 2*A = 9.3mi
2*A = 9.3mi - 8mi = 1.3mi
A = 1.3mi/2 = 0.65mi
Then the distance between the house and the library is:
The 4 miles between the house and the school, plus the 0.65 miles between the school and the library:
Distance = 4mi + 0.65mi. = 4,65mi
3) The third case is when the order of the locations is:
Library, house, school.
Then the distance between the house and the library is equal to the distance between the school and the library minus the distance between the house and the school, this is:
A - 4mi = B
Now we can replace this in our distance equation:
4mi + A + B = 9.3mi
4mi + A + (A - 4mi) = 9.3 mi
2A = 9.3mi
A = 9.3mi/2 = 4.65mi
Then the distance between the house and the library is:
B = A - 4mi = 4.65mi - A = 0.65mi
Then the distance between the house and the library is 0.65 miles in this case.
Which of the following is an equation of the line that passes through the point (–2, 3) and is perpendicular to the graph of the equation y = 3x – 2? A. y = –13x + 73 B. y = –13x + 113 C. y = 3x + 9 D. y = 3x – 3
Answer:
its is a
Step-by-step explanatioits n:
The equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.
What is an equation of a line?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Let m be the slope of the line and c is the y-intercept of the line.
The equation of the line is given as,
y = mx + c
The product of the slopes of the perpendicular lines is equal to -1.
y = 3x – 2
m = 3
Then the slope of the perpendicular line will be -1 / 3. The equation of the line will be written as below:-
y = (-1 / 3)x + c
The line is passing through the point (–2, 3). Then calculate the value of the constant.
3 = (-1 / 3 )2 + c
c = 11 / 3
The equation of the line will be:-
y = (-1/3)x + (11/ 3)
Therefore, the equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.
To know more about the equation of the line follow
https://brainly.com/question/18831322
#SPJ2
Q1. Find y, if √12 - √147 + y√3 = 0
Q2. Without using tables or calculators, find the value of Sin45° - Cos30°
Hints: Sin45° = √2/2 Cos 30° = √3/2.
Answer:
Q1. y = 5 Q2. (√2 - √3)/2
Step-by-step explanation:
Q1
√12 - √147 + y√3 = 0
Taking -√147 and √12 to the right hand side, we have
y√3 = √147 - √12
y√3 = √(3 × 49) - √(3 × 4)
y√3 = √3 × √49 - √3 × √4
y√3 = √3 × 7 - √3 × 2
y√3 = 7√3 - 2√3
y√3 = 5√3
Dividing both sides by √3, we have
y√3/√3 = 5√3/√3
y = 5
Q2
Sin45° - Cos30°
Since Sin45° = √2/2 and Cos 30° = √3/2
Substituting these values into the equation, we have
Sin45° - Cos30° = √2/2 - √3/2
Taking L.C.M of both factors, we have
Sin45° - Cos30° = (√2 - √3)/2
______ is terminology that is specific to a particular profession or group. For example, statisticians talk about t-tests, chi-square tests, confidence intervals, and normal distributions.
Answer:
parlanceStep-by-step explanation:
The world parlance represents jargon/terms used by a particular profession or by a group of related experts in a field.
In french parler, means "to speak, hence the word parlance has it root from the french word parler.
it is a noun and it often called a slang or a jargon.
for example in law, lawyers use world/terms like, plaintiff, witness, suspect, jury, etc
The terminology that is specific to a particular profession or group is called; Jargons
We are given examples such as;
T-tests, chi-square tests, confidence intervals being used exclusively by statisticians.
Now, these terms used exclusively by statisticians have a general term they are called which is Jargons.
In conclusion, Jargons is the general name for words or expressions that are used exclusively by a group that are not easy for others to understand.
Read more at; https://brainly.com/question/12320553
Perform the operation below using a number line. -7-(-8). ASAP. pleeease help.
Answer:
1
Step-by-step explanation:
Calculation steps:
-7-(-8) = ⇒ two negatives cancel and change to positive
- 7 + 8 = ⇒ 8-7 = 1
1 ⇒ answer
Raj wakes up in the morning and notices that his digital clock reads 07 2(A)5(B).After noon, he looks at the clock again.what is the probality that
I) The number in column A is 4?
ii) The number in column B is an 8?
iii) The number in column A is less than 6?
iv) The number in column B is greater than 5?
Answer:
i. [tex]P(A) = \frac{1}{10}[/tex]
ii. [tex]P(B) = \frac{1}{10}[/tex]
iii. [tex]P(A) = \frac{3}{5}[/tex]
iv. [tex]P(B) = \frac{2}{5}[/tex]
Step-by-step explanation:
Given
Time: 07 2(A) 5(B)
Calculating (a)
First, we need to list out the possible sample space, S of A
[tex]S = \{0,1,2,3,....,9\}[/tex]
[tex]n(S) = 10[/tex]
Probability of A being a 4 is the number of occurrence of 4 divided by the number of sample space
[tex]A = \{4\}[/tex]
[tex]n(A) = 1[/tex]
Hence;
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{1}{10}[/tex]
Calculating (b)
First, we need to list out the possible sample space, S of B
[tex]S = \{0,1,2,3,....,9\}[/tex]
[tex]n(S) = 10[/tex]
Probability of B being a 8 is the number of occurrence of 8 divided by the number of sample space
[tex]B = \{8\}[/tex]
[tex]n(B) = 1[/tex]
Hence;
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{1}{10}[/tex]
Calculating (c)
Using the sample space in (a)
[tex]n(S) = 10[/tex]
Probability of A being less than 6 is the number of occurrence of less than 6 divided by the number of sample space
[tex]A = \{0,1,2,3,4,5\}[/tex]
[tex]n(A) = 6[/tex]
Hence;
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{6}{10}[/tex]
[tex]P(A) = \frac{3}{5}[/tex]
Calculating (d)
Using the sample space in (b)
[tex]n(S) = 10[/tex]
Probability of B being greater than 5 is the number of occurrence of greater than 5 divided by the number of sample space
[tex]B = \{6,7,8,9\}[/tex]
[tex]n(B) = 4[/tex]
Hence;
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{4}{10}[/tex]
[tex]P(B) = \frac{2}{5}[/tex]
Plz plz someone help me out with this
Answer:
option D
[tex]a_{1}=6561 and a_{n}=\frac{1}{3}a_{n-1}[/tex]
Step-by-step explanation:
[tex]a_{3} = 729\\\\a_{4} = 243\\\\r = \frac{a_{4}}{a_{3}}\\\\r=\frac{243}{729}\\\\r=\frac{1}{3}[/tex]
Recursive rule: Next term is obtained by multiplying (1/3) wiht the previous term
[tex]a_{n}=\frac{1}{3}*a_{n-1}[/tex]
[tex]a_{3} = \frac{1}{3}*a_{2}\\\\\\729 = \frac{1}{3}*a_{2}\\\\\\729*3=a_{2}\\\\a_{2} = 2187\\\\\\[/tex]
[tex]a_{2}=\frac{1}{3}*a_{1}\\\\\\2187=\frac{1}{3}*a_{1}\\\\\\2187*3=a_{1}\\\\a_{1}=6561[/tex]