If ratio of a to b is constant, and a = 9 when b = 6 then value of b is 4/3 when a is 2.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
The ratio of a to b is constant,
a = 9 when b = 6.
We need to find value of b when a=2.
Let us consider the value be x.
Let us form an equation
9/6=2/x
Apply cross multiplication
9x=12
Divide both sides by 9
x=12/9=4/3
Hence, if ratio of a to b is constant, and a = 9 when b = 6 then value of b is 4/3 when a is 2.
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Michael averages 12 points in each basketball game. His team plays 2 games each week. About how many points will he score in 12 weeks? Explain your reasoning.
Michael will score about 288 points in 12 weeks. This is because he scores 12 points in each game and there are 2 games each week, so he will score 24 points in each week. Multiplying 24 points by 12 weeks, Michael will score 288 points.
Serena estimates that she can paint 60 square feet of wall space every half-hour.write an equation for the relationship with time in hours as the independent variable.can Serena paint 400 square feet of wall space in 3.5 hours?why or why not?
Answer:x=3.5 x 60
the answer is yes because when she's doing 3.5 hour, and she can do 420 square feet
The first Christmas bell rings every six minutes. The second Christmas bell rings every seven minutes. The third Christmas bell rings every hour. If all the bells ring at 12 noon, at what time will they next all ring together?
Answer:7 PM is whenthey all ring together
Step-by-step explanation:
You are a store clerk assigned to stack notebooks in a box for shipment. Each notebook is 29 centimeters long, 21.5 centimeters wide, and 1.5 centimeters thick. The box can hold a maximum of 12 notebooks.
To the nearest whole number of cubic centimeters, what is the minimum volume of the box?
A. 64
B. 624
C. 935
D. 7,500
E. 11,223
The minimum volume of the box = 11220 cubic centimeters
What is volume?
In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.
One notebook:
length, l= 29 cm
width = 21.5 cm
height = 1.5 cm
Volume of 1 notebook = l*w*h
= 29*21.5*1.5
= 935.25
≈ 935 cubic centimeters ( nearest whole number )
Volume of 12 notebooks = 935 * 12 = 11220 cubic centimeters
So, the minimum volume of the box = 11220 cubic centimeters
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Answer:
11,223
Step-by-step explanation:
Which of the following sentences uses homophones incorrectly?
a
The baker is required to knead the dough every hour.
b
The celebrity thought it would be best to have a plain plane
c
The artist erased the whole drawing and made a large hole.
d
The principle of the school makes decisions based on principals.
Help plss
Answer:
Answer: D. The principle of the school makes decisions based on principals.
what is the solution to the equation below 2x+13=x-1
4. Ms. Wagner painted the outside of the patio
door to her house, as shown below. She did
not paint the window or the doorknob.
Answer: 18 ft ^2
Step-by-step explanation:
the diamter of a circle is 14 yards what is the area of this cirlce
The area of a circle with diameter of 14 yards is 153.86 yards².
How to find area of a circle?The diameter of the circle is 14 yards . The area of the circle can be found as follows;
area of a circle = πr²
where
r = radius of a circleThe radius of a circle is half of its diameter.
Therefore,
r = 14 / 2 = 7 yards
Hence,
area of a circle = πr²
area of a circle = 3.14 × 7²
area of a circle = 3.14 × 49
area of a circle = 153.86 yards²
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An investor needs $18000 in 10 years.
(a) What amount should be deposited in a fund at the end of each quarter at 9% compounded quarterly so that there will be enough money in the fund?
(b) Find the investor's quarterly deposit if the money is deposited at 4.5% compounded quarterly.
(a) Let P be the amount deposited at the end of each quarter. Then, the future value F after n quarters is given by
F = P(1 + 0.09)^n
Given that there must be enough money in the fund, we can set F = A, the amount required. Therefore,
A = P(1 + 0.09)^n
Solving for P,
P = A(1 + 0.09)^-n
(b) Let P be the amount deposited at the end of each quarter. Then, the future value F after n quarters is given by
F = P(1 + 0.045)^n
Given that there must be enough money in the fund, we can set F = A, the amount required. Therefore,
A = P(1 + 0.045)^n
Solving for P,
P = A(1 + 0.045)^-n
If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate
The percent error of the estimate is -2.14%
How to determine the percent error of the estimate?In this question, the figures are given as
Estimate = 5.5 cm
Actual = 5.62 cm
The percentage of the error is then calculated using the following equation
Error percentage = (Estimate - Actual)/Actual * 100%
Substitute the known values in the above equation, so, we have the following representation
Error percentage = (5.5 - 5.62)/5.62 * 100%
Evaluate
Error percentage = -2.14%
Hence, the error percentage is -2.14%
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The function f(x) = –x3 – 7x2 – 7x + 15 has zeros located at –5, –3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
The zeros of the function f(x) = -x³ - 7x² - 7x + 15 are -5, -3 and 1
Zeros of a FunctionThe zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
To verify if the zeros are for the function, we simply need to plug the values in for x and solve.
f(x) = -x³ - 7x² - 7x + 15
f(-5) = -5³ - 7(-5)² - 7(-5) + 15
f(-5) = 0
When x = - 3
f(-3) = -3³ - 7(-3)² -7(-3) + 15
f(-3) = 0
when x = 1
f(1) = 1³ -7(1) - 7(1) + 15
f(1) = 0
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The coldest temperature ever recorded in Mathville was - 16 deg * F This happened on January 30th, 1978. The normal low for that day is 19 deg * F How much colder was the record temperature than the normal ow temperature?
It was recorded 35°F colder temperature than the normal ow temperature that year in January 30th, 1978.
Explain the term temperature change?Diabatic temperature change is the term used to describe a temperature shift brought on by a heat exchange between two bodies. The term "adiabatic temperature change" refers to another highly significant method of altering the temperature of air. Air undergoes adiabatic temperature change without the addition or subtraction of energy.For the stated data-
Coldest temperature : -16°F
Normal low: 19°F
Thus, the difference in the temperature-
Difference = Normal low - Coldest temperature
Difference = 19°F - (-16°F)
Difference = 35°F
Thus, it was recorded 35°F colder temperature than the normal ow temperature that year in January 30th, 1978.
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What is the slope of the line with equation 2x + 3y = 10?
Answer:
Step-by-step explanation:
-2/3
How do you line up 14.72 ×36.8=
A(t)A0e-0.355t where t is the time in years
Based on the function, the population of the small town in 5 years is 3898
How to determine the population in 5 years?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Initial population = 23000
Number of years = 5
These parameters can be represented as
Ao = 23000
t = 5
From the question, we have the following formula that can be used in our computation:
A(t) = A0e^(-0.355t)
Substitute Ao = 23000 and t = 5 in the above equation
So, we have the following representation
A(5) = 23000 * e^(-0.355 * 5)
Evaluate the products
A(5) = 3898
Hence, the population in 5 years is 3898
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Complete question
The population of a small town follows A(t) = A0e-0.355t where t is the time in years
What is the population in 5 years if the initial population is 23000
can sum1 help i got no teachers near
Answer:
Option C : x-6
Step-by-step explanation:
since tina’s brother height is X we start there
x
And tine is 6 less than her bother so we subtract 6
x-6
and that’s it
Hopes this helps please mark brainliest
stop charging me immediately
Answer:
what do you mean
Step-by-step explanation:
What is the x-coordinate of the midpoint of the segment between (4 , -5) and (8 , 2)?
Answer:
(6, -1.5) or (6, -1 1/2)
Malik deposited $2,439 in an account earning 7% interest compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer: $548.00
Step-by-step explanation: In order to find out how much interest Malik will earn in 3 years, we need to first calculate the amount of interest earned each year. We can do this by multiplying the initial amount he deposited by the interest rate, which is 7%. So, the amount of interest earned each year is $2,439 * 7% = $169.73.
Since the interest is compounded annually, this means that the amount of interest earned in the first year is added to the initial deposit to form the new balance. This new balance will then earn interest in the second year, and so on.
Therefore, the amount of interest earned in the second year is 7% of the new balance, which is $2,439 + $169.73 = $2,608.73. So, the interest earned in the second year is $2,608.73 * 7% = $182.61.
In the third year, the interest is again compounded, so the new balance is $2,608.73 + $182.61 = $2,791.34. The interest earned in the third year is 7% of this new balance, which is $2,791.34 * 7% = $196.48.
In total, Malik will earn $169.73 + $182.61 + $196.48 = $548.82 in interest over 3 years. To the nearest cent, this is $548.00.
The volume of a cubical tank is 8,000 m³. Find the length of that tank.
Answer:
20m
Step-by-step explanation:
Volume of Cube: s³ = 8000m³
∛s³ = ∛8000m³
s = 20m
Answer:
20
Step-by-step explanation:
We know that,
volume of cube = l*l*l
8000 = l*l*l
l = 3√8000
l= 20
Answer
What is x+y=-15 converted to slope intercept form
Answer: y = -x - 15
Step-by-step explanation:
Slope intercept form is written as y = mx + b where m is the slope and b is the y-intercept. In other words, we need to isolate the y-variable.
Given:
x + y = - 15
Subtract x from both sides of the equation:
y = -x - 15
Suppose that you roll a fair, six-sided die 10 times. What’s the probability that you get at least one 6?
Answer:
0.8385, turned into a percentage is 83.9%
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:210
Step-by-step explanation:
Consider a function f(x) = |x|. A second function g(x) is the result of translating f(x) by 5 units in
the negative y-direction (downward), and 3 units in the positive x-direction (to the right). Write the equation of g(x)
Please Help!!!
The translated function g(x) = | x - 3 | - 5 shifted 3 units along the positive x-axis and 5 units along the negative y-axis.
What are some transformations of functions?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over y axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
Given, A parent function f(x) = | x |.
Now the result of translating f(x) by 5 units in the negative y-direction and 3 units in the positive x-direction g(x) = | x - 3 | - 5.
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Let y be differentiable with respect to x. For the relation x³ + y³ = 9xy, find dy/dx by
implicit differentiation
Answer: (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.
Step-by-step explanation: To find dy/dx for the relation x³ + y³ = 9xy, we can use the chain rule. The chain rule states that if y is a function of x and x is a function of t, then the derivative of y with respect to t is equal to the derivative of y with respect to x times the derivative of x with respect to t.
In this case, we are given that y is a function of x and we want to find the derivative of y with respect to x. To do this, we can rewrite the given equation as follows:
x³ + y³ = 9xy
y³ = 9xy - x³
We can then take the derivative of both sides of the equation with respect to x to find dy/dx as follows:
3y² * dy/dx = 9y + 9x * dy/dx - 3x² * dy/dx
3y² * dy/dx = (9y + 9x * dy/dx) - 3x² * dy/dx
0 = (9y + 9x * dy/dx) - (3y² * dy/dx + 3x² * dy/dx)
0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx
We can then solve this equation for dy/dx as follows:
0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx
9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y
9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y
dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x
dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x
Therefore, the derivative of y with respect to x for the given equation is equal to (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.
Answer
[tex]\frac{dy}{dx}[/tex]
Step-by-step explanation:
Your welcome ;)
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x> 38
Step-by-step explanation:
The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38. (this was copy'd n pasted from another question that is the exact same.)
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find the cartesian equation of r=3i+paremeter (i+2j)
The Cartesian equation will be;
⇒ (x - 3) / 1 = (y - 0)/2
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation is,
⇒ r = 3i + λ (i + 2j)
Where, 'λ' is a parameter.
Now,
Since, The equation is,
⇒ r = 3i + λ (i + 2j)
Where, 'λ' is a parameter.
Hence, The Cartesian equation is find as;
⇒ xi + yj = 3i + λi + 2λj
By compare, we get;
⇒ x = 3 + λ
⇒ y = 2λ
Thus, The Cartesian equation is;
⇒ (x - 3) / 1 = (y - 0)/2 = λ
Therefore, The Cartesian equation will be;
⇒ (x - 3) / 1 = (y - 0)/2
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Please help asap! thank you
Find the quotient. Round to the hundredths' place when necessary.
Answer:
17: 0.65
18: 0.05
19: 0.27
20: 1840
Step-by-step explanation:
What is x when x=2-4+5
Last week, a dairy farm produced p kg of cheese. The dairy farm also produced 24 kg more yoghurt than cheese and 3 times as much ice cream as cheese. The dairy farm produced more kilograms of ice cream than yoghurt last week. Write and solve an inequality to work out the possible values of p.
Answer:
4w>39+w
3w>39
w>13
Step-by-step explanation:
Graph the function (fx) = 2√ + 3 on the coordinate plane
The graph of the function y = 2√x + 6 is plotted and attached.
What is the general equation of a Straight line? What are the points of intersection of the graph of y = x and y = √x? Which curve is more diverged?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The points of intersection of the graph of y = x and y = √x are (0, 0) and (1, 1). The curve y = √x diverges more.
We have the following equation -
y = 2√x + 6
Given is the following equation as -
y = 2√x + 6
Refer to the graph of the function attached.
Therefore, the graph of the function y = 2√x + 6 is plotted and attached.
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