By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.
Can the trees be planted in 6, 8, or 9 parts?We know that each of these parts needs to have the same number of each type of trees.
So we need to see if 6, 8, or 9, are common factors between 36 and 54.
First:
6*6 = 36
9*4 = 36
So 9 and 6 are factors of 36.
And 9*6 = 54
So 9 and 6 are factors of 54.
(8 is not a factor of neither)
So 9 and 6 are common factors between 36 and 54.
Then we can divide the trees in 6 or in 9 parts, but not in 8.
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What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
What is a right rectangular prism?A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]
[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]
= 196 + 169 = 365
[tex](diagonal)^{2}[/tex] = 365
diagonal = [tex]\sqrt{365}[/tex] = 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
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help asap please!! <3
Answer:
3/2 or 1.5
Step-by-step explanation:
Finding the gradient
gradient (m) = y₂ - y₁ / x₂ - x₁m = 5 + 1 / 4 - 0m = 6/4m = 3/2 or 1.5Answer:
gradient = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )
m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
A farmer has hens, this hen composes 2500 eggs every month. A farmer has 2500 eggs a month, 25% of these eggs are sold in restaurant. How much is the total number of eggs sold in the restaurant, if 35 eggs are sold in the restaurant.
Answer:
625 eggs are sold in a restaurant
2500-100%
x- 25%
62500=100x
x=625 eggs
Answer:
21875
Step-by-step explanation:
25% x 35 x 2500
= 0.25 x 35 x 2500
=21875
Let x = 0.147 and let y = 0.147.
Answer:
X is a rational number, y is not a rational number, and y is larger.
Step-by-step explanation:
The line above the 0.147 means that the number goes on forever and never stops. This is a characteristic of an irrational number. Rational numbers, however, do stop, so x is rational. Because y goes on forever, it has more values after the 0.147, making it larger.
a song has 12 beat in 5 second . how many beats are in 30 seconds
mr.ellis has started a vegetable garden.he bought 15 bags of soil and 3 bags of fertilizer for 282.72.he realized he didnt have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.what was the cost of each bag of soil and fertilizer?let the cost of each bag of soil =x and the cost of bag of fertilizer = y.
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mr. Ellis has started a vegetable garden.
He bought 15 bags of soil and 3 bags of fertilizer for 282.72.
He realized he did not have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.
Let the cost of each bag of soil be x and the cost of a bag of fertilizer be y.
Then we have the linear equations,
15x + 3y = 282.72
5x + 2y = 107.23
On solving the equations 1 and 2, we have
x = 16.25 and y = 12.99
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
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someone help me find r please!
Answer:
4
Step-by-step explanation:
Using the equation, y=5x²−17x −12, determine the roots.
A) (-4, 0) and (0.6, 0)
b) (-4, 0) and (-0.6, 0)
c) (4, 0) and (-0.6, 0)
d) (4, 0) and (0.6, 0)
Answer:
c
Step-by-step explanation:
y = 5x² - 17x - 12
to find the roots let y = 0 , that is
5x² - 17x - 12 = 0
Factorising the quadratic
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × - 12 = - 60 and sum = - 17
the factors are - 20 and + 3
use these factors to split the x- term
5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )
5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term
(x - 4)(5x + 3) = 0
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6
roots are (4, 0 ) and (- 0.6, 0 )
Find the first four terms of the sequence given a = 31 and an+1 = an - 3.
A. 31, 26, 23, 20
B. 31, 28, 25, 22
C.31, 25, 22, 19
D. 31, 27, 26, 25
GIVING BRAINLIEST!!!!!
Answer:
(4,1)
Step-by-step explanation:
After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)
9. Use the Desmos graphing calculator to find slope and y-intercept for the least-squares
regression line for the dataset in the table:
xy
31
45
8 11
10 21
m= 2.55, b= 6.435
m=1.477, b=1.477
m= 1.698, b-0
m=2.55, 6-6.435
Answer:
D) m=2.55, b=-6.435
Step-by-step explanation:
See attached file ("a" represents the slope and "b" represents the y-intercept).
ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun
Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the ladder, using trigonometric ratio:
sin(64) = 18/l
l = 20.03 feet
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Which of the following expressions is true?
2^4•2^4>2^7
3^2•3^6=3^7
4^3•4^5<4^8
5^2•5^3=5^6
Answer:
2^4•2^4>2^7
Step-by-step explanation:
Hope it helps you in your learning process.
Describe how to identify the lines of symmetry in the shape below.
The expression above can also be written in the form a=, b=,c=. 3 6/5
The expression above can also be written in the form .
For this expression, a =
, b =
, and c =
.
The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm = 3^{\dfrac{6}{5}}[/tex]
We can write it as:
[tex]\rm = \sqrt[5]{3^6}[/tex]
The value of a = 3,
The value of b = 6, and
The value of c = 5
Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
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whats the answer for this qusten
Answer:
The speed i total is 750 meters per second
Step-by-step explanation:
9000/12 = 750
Gold can undergo transmutation. superscript 185 subscript 79 baseline upper a u right arrow superscript 181 subscript 77 baseline upper i r superscript 4 subscript 2 baseline upper h e this type of nuclear decay is called .
The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.
What are the characteristics of Alpha Decay?An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).
It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.
Alpha Decay is usually trigged for two key reasons:
An unstable nucleus; andexcessive protons.Learn more about Alpha Decay at:
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Write the verbal sentence as an algebraic equation.
The product of a three and a number plus five is 20.
Step-by-step explanation:
product=× three=3 a number is unknown =x plus=+ five=5 is=equals to 20
3×x +5=20
3x+5=20
Subtract 5 from both sides
3x+5-5=20-5
3x=15
3x/3=15/3
x=5
Jdncjdcnndnsjddnsjdnejd ejdnjendjddnjedn
Answer:okay I don’t know what is this but what do you need help with exactly?
Step-by-step explanation:
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?
Answer:
28/171
Step-by-step explanation:
The probability initially of drawing a red would be 8/19 since there were 19 marbles in the bag in the beginning. However, without replacement, the probability of drawing another red would be 7/18 as there would be one less red and one less marble in the bag so to find the combined probability of getting 2 red marbles, multiply 8/19 by 7/18 to get: 56/342 = 28/171
An agricultural researcher wishes to see if kelp extract helps prevent frost damage on tomato plants. 100 tomato plants in individual containers are randomly assigned to 2 different groups. plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with kelp extract, while the plants in group 2 are not. after the first frost in the autumn, 12 of the 50 plants in group 1 exhibited damage. 18 of the 50 plants in group 2 showed damage. test the claim to see if there is evidence of a decrease in the proportion of tomatoes suffering frost damage for tomatoes sprayed with kelp extract.
a) state the hypotheses.
b) identify the p-value to the nearest thousandth.
c) state the conclusion in the context of the problem.
The p-value to the nearest thousandth. p value > 0.05
What is null and alternative hypothesis ?A null hypothesis is a statement, in which there is no relationship between two variables. An alternative hypothesis is statement in which there is some statistical significance between two measured phenomenon.
Group 1 n₁ = 50 , x₁ = 12
Group 2 n₂ = 50 , x₂ = 18
p₁ = x₁/n₁ = 12/50 = 0.24
p₂= x₂/n₂ = 18/50 = 0.36
Testing the null and alternative hypothesis
H₀ = p₁ - p₂= 0
Hₓ = p₁ - p₂ < 0
Level of Significance α =0.05
Test Statistic
[tex]\rm z = \dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_2} +\dfrac{p_2(1-p_2)}{n_2}}}[/tex]
On substituting the values
z = -0.12/0.9086
z = -1.32
p value = p(z > -1.32)
p value = 0.0934
Therefore p value > 0.05
Hence we fail to reject H₀ at 5 % level of significance .
There is no significant evidence that the decrease in proportion of tomatoes suffering frost damage for tomatoes sprayed with the kelp extract.
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can you guys help me with this fast
Answer:
1/2¹⁵ or 2⁻¹⁵
Step-by-step explanation:
2³ / (2⁶)³
2³ / 2¹⁸ (The exponents multiply in such cases)
1 / 2⁽¹⁸⁻³⁾
1/2¹⁵ or 2⁻¹⁵
The midpoint of overline AB is M(-4, 0)M If the coordinates of A are (-6, 6) what are the coordinates of B?
Answer:
(-2, -6)
Step-by-step explanation:
Equating A and B to the Midpoint (M) :
(-4, 0) = (-6 + x / 2, 6 + y / 2)Equations formed :
-6 + x / 2 = -4-6 + x = -8x = -22. 6 + y / 2 = 0
6 + y = 0y = -6Midpoint : (x , y)
(-2, -6)What is 6 3/4 % of $7,600.00
A. 513
B. 520
C. 456
D. 479.25
E. 550
Answer:
A 513
Step-by-step explanation: is your answer
Hope this helps :)
HELP ASAP GIVING BRAINLIEST PLEASE HELP FAST
Answer:
Step-by-step explanation:
We find a like term and that is 33 so we mutiply 2/3 by 11 and we get 8 22/33 and do the same to 1 10/11 and we get 1 30/33
8 22/33- 1 30/33 since we can do that we give 22 an extra 33
so 7 55/33 - 1 30/33 (just like subtracting we borrow.)
=6 25/33
Basically i converted 1 of the 8 into a fraction which was 33 and added it to 22 which got me 55 from their it was just a basic subtraction problem. think of what i did like this 43-
34
that wont work so you borrow a 1
Round this number to the nearest one.
87.6
ANWER:
rounded o the nearesr tens is 88.6
Answer:
88
Step-by-step explanation:
Because 6 is greater than 5 it will rounded off and 87.6 = 88
PLEASE ANSWER NUMBER 30 PLEASE!!
Answer:
d) x ≤ 3
Step-by-step explanation:
Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
The probability that Dalia will pick two red pencils without replacement is 1/3.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of picking two red pencils = 6/10 x 5/9 = 1/3
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The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.
The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
What is magnitude?magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.
The magnitude as regards Richter scale is
[㏒(I/I₀]
But we were given l as 10000I₀.
Then if we substitute we have, [㏒(10000I₀./I₀)]
If we simplify we have:
[㏒10000]
Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
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I need help with this question
Answer:A
Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B
Answer: A
Step-by-step explanation:
