Answer:
Bean plant grew faster .
Step-by-step explanation:
As given
Plants A birch tree grew 2.5 inches in five months.
i.e 2.5 inches = 5 months
Now calculate birch tree in one month .
[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]
= 0.5 inches
As given
A bean plant grew 8 inches in 10 months.
i.e 8 inches = 10 months
Now calculate bean plant in one month .
[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]
= 0.8 inches
As given
It rosebush grew 5 inches in eight months.
i.e 5 inches = 8 months
Now calculate rosebush in one month .
[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]
= 0.63 inches (Approx)
Therefore Bean plant grew faster .
The township of Brock is growing at a rate of 6.5% per annum. How many people are there in Brock township now, if there will be 15000 in 4.5 years?
A games console costs £100
The cost is increased by 20%
The new cost is decreased by 20%
Which of the following is true?
[1 mark]
- The final cost of the console is less than the original cost
- The final cost of the console is the same as the original cost
- The final cost of the console is more than the original cost
how do you work out px+py=a?
Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, then angle B measures
25
64
65
The requried measure of angle B is 25 degrees. Option A is correct.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
Let A be one of the acute angles of the right triangle. Then, we have:
tan(A) = opposite/adjacent
Given that the tangent of angle A is 2.1445, we can write:
2.1445 = opposite/adjacent
Since angle B is also an acute angle of the same right triangle, we have:
tan(B) = opposite/adjacent
But since the sum of the angles of any triangle is 180 degrees, and one of the angles in this triangle is a right angle (90 degrees), we have:
A + B + 90 = 180
B = 90 - A
Substituting the expression for B into the equation for the tangent of angle B, we get:
tan(90 - A) = opposite/adjacent
tan(90 - A) = (1/tan(A)) x adjacent/opposite
tan(90 - A) = (1/2.1445) x adjacent/opposite
tan(90 - A) = 0.466
Taking the inverse tangent of both sides, we get:
90 - A = tan⁻¹0.466)
90 - A = 25.38
A = 90 - 25.38
A = 64.62
Therefore, the measure of angle B is,
B = 90 - A
= 90 - 64.62 = 25.38 degrees
Thus, the requried measure of angle B is 25 degrees.
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what is the measure of
A forest owned by the Jumbo Lumber Corporation contains 7,054 trees. If Jumbo Lumber cuts down 37 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
Answer:
n(t)= 7,054 - 37t
Step-by-step explanation:
Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?
Answer:
4 inches is the edge length of the container.
Step-by-step explanation:
Length of the small cubes = a = 1 inch
Volume occupied each small cube = v = [tex]a^3=(1 inch )^3= 1 inches^3[/tex]
Length of the big cube = A
Volume of the big cube = V
[tex]V=A^3[/tex]
He uses 64 cubes with side lengths of 1 inch to completely fill the container.
[tex]V=64\times v=64\times 1 inches^3[/tex]
[tex]A^3=64\times 1 inch^3[/tex]
A = 4 inch
4 inches is the edge length of the container.
Which of the following products represents 6 1/2% tax, in dollars, on a price of $14.29? a. (0.00675)(14.29) b. (0.0675)(14.29) c. (0.675)(14.29) d. (6.75)(14.29)
Answer:
B
Step-by-step explanation:
6 3/4% tax
Solve the proportion. 2/8 = -30/x
The solution to the proportion 2/8 = -30/x is x = -120, found by cross multiplying and simplifying the resulting equation.
To solve the proportion 2/8 = -30/x, we will cross multiply to find the value of x. After cross multiplying, we obtain 2x = -30 imes 8. Simplifying this gives us 2x = -240, and dividing both sides by 2 yields x = -120. So the solution to the proportion is x = -120.
What is the measure of angle x, In degrees?
Helps please!!
Answer:
40° is the right answer for apex learners
What is the next term in the sequence? 44, 22, 11, 5.5...
Chan Hee bought 3.4 pounds of coffee that cost $6.95 per pound. How much money did he spend on coffee?
Which equation is NOT an example of a linear function? A) y = 9 - 2x B) y = 6/x C) y = x/2 + 9 D) y = 5/6 x - 8
Cube root of 0.000064
A fair coin is tossed 10000 times the odds of getting exactly 5000 heads is closest to
Answer:
5000 tails there are only two sides on coin
Step-by-step explanation:
Find the value of x or y so that the line through the points has the given slope of (x, -8) and (-7,5); slope: -13/7
The required value of x is 112/13 which line through the points has the given slope of (x, -8) and (-7,5).
What is the slope of the line?The slope of the line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
We have been given two points :(x, -8) and (-7,5)
As per the line of slope,
m = (y₂ - y₁)/(x₂ -x₁ )
Here
x₁ = x, y₁ = 8
x₂ = -7, y₂ = 5
Substitute values in the above formula
-13/7 = (5 - 8)/(-7 - x )
-13/7 = -3/(-7 - x )
-13(-7 - x ) = -21
91 + 13x = -21
13x = -21 - 91
13x = 112
x = 112/13
Therefore, the required value of x is 112/13.
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Find three solutions of the equation (x^2-9)(x^3-8)=0
Prove that the cube root of 2 is irrational.
PLEASE HELP!
Solve for x.
x/3≤−6
A) x≤−18
B) x≤−2
C) x≥−2
D) x≥−18
Scott and Teri read mystery novels. Teri has read 3 less than 5 times as many as Scott. She has read 17. How many has Scott read?
Solve each system by elimation 2x-3y=6 and 6x-9y=9
plz help me with number 9
and show work so i can understand thx
I think the answer is C, since it is measured to 2 decimal places
The running aces card team won $548 playing in poker tournaments last year. the winnings were split evenly among the p players. how much of money did each player receive?
Answer:
Each player received 548/p dollars.
Eight plus the quotient of a number and 3 is -2
Relationship a has a greater rate than relationship
b. this table represents relationship
b. hours worked 2 4 5 8 amount paid 30.40 60.80 76 121.60 which equation could represent relationship a? select each correct answer. y = 14.9x y = 16.4x y = 15.4x y = 15.2x
The required equation is y = 15.2x which could represent relationship A.
which is the correct answer would be an option (B).
What is a Linear Function?A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
We have been given that relationship A has a greater rate than relationship B.
Hours Worked Amount Paid
2 30.4
4 60.8
5 76
8 121.60
Let the number of hours worked x and the total amount paid y.
As per the given functions
⇒ y = 15.4x ...(i)
⇒ y = 15.2x ...(ii)
⇒ y = 16.4x ...(iii)
⇒ y = 14.9x ...(iv)
As per the linear function (ii),
⇒ y = 15.2×2
⇒ y = 30.4
The above is satisfy the point, therefore, it represents relationship A
Hence, the required equation is y = 15.2x which could represent relationship A.
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please help fast and show all work thanks
Find the limit of the function algebraically. limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.
The limit as x approaches zero of the function (-6 + x)/x^4 is 0. This is arrived at using L'Hopital's Rule, which instructs us to take the limits of the derivatives of the numerator and denominator when the initial function limit causes an indeterminate form (0/0, infinity/infinity).
Explanation:The limit of the function negative six plus x divided by x to the fourth power as x approaches zero cannot be solved using traditional limit computations as it creates indeterminate form. However, the L'Hôpital's rule
Rule can be used to determine this limit.
Under L'Hôpital's rule
rule, to solve for the limit of a function that results in an indeterminate form 0/0 or infinity/infinity, you take the derivative of the numerator and the derivative of the denominator independently, and then find the limit of that quotient as x approaches the given value.
In this case, the function is (-6+x)/x4. The derivative of -6+x is 1 and the derivative of x4 is 4x3. Therefore, after the first iteration of L'Hopital's rule, you are finding the limit as x approaches zero of 1/(4x3). Running the rule again we get 0/(12x2). Clearly there, the numerator is 0 and since x2 will be a non-negative number the limit would be 0. Hence, the limit of the function as x approaches zero is 0.
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Ray divides ∠COA into two angles of what measure?
20
30
40
35
Answer:
20
Step-by-step explanation:
In the diagram, AB = 10 and AC = 2√10. What is the perimeter of △ABC?
A. 10 units
B. 10 + 2√10 units
C. 20 units
D. 20 + 2√10 units
Answer:
D. 20 + 2√10 units
Step-by-step explanation:
Perimeter is the distance all round a figure.
AB = 10. This is given in the question
AC = √((3-5)²+(4--2)²
= √(4+36)
=√40 = 6.32 units
BC = 5 - -5 = 10 units
Perimeter = AB+AC+BC
= 10+6.32+10
= 26.32 units
What happens to light energy from the Sun when it reaches the surface of Earth?
A.
The light energy is multiplied when it reaches the plants on Earth.
B.
The light energy is destroyed when plants are eaten by herbivores.
C.
The light energy is transformed to chemical energy by photosynthesis.
D.
The light energy is converted to potential energy by cellular respiration.