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Related Questions
Jill decides to move her fish from a 20 gallon aquarium to a 50 gallon aquarium. She added 3 tablespoons of salt to her old aquarium. If she wishes to maintain to same salinity level, how many tablespoons should she add to her new aquarium?
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Which problem can be solved with this model? A. 4 divided by 1/3 B. 1/3 divided by 4 C. 12 divided by 1/3 or D. 4 divided by 12
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Hector planted 185 flowers in 2 days.there were 5 volunteers,including Hector, who each planted about the same number of flowers. About how many flowers did they plant?
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Answer: They planted 925 flowers.
Step-by-step explanation:
Given : Hector planted 185 flowers in 2 days.
There were 5 volunteers,including Hector, who each planted about the same number of flowers.
Then, the number of flowers they planted is given by :-
Number of volunteers x Flower planted by each volunteer
=[tex]5\times185=925[/tex]
Hence, They planted 925 flowers.
Prime factorization of 84
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Find factors of 84:
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Out of those, find the prime factors:
Prime factorization: 84 = 2 x 2 x 3 x 7
Simplify:
It can also be written 2² x 3 x 7.
Hope This Helps You!
Good Luck :)
- Hannah ❤
The base of a triangle is 3cm greater than the height. The area is 14cm. Find the height and base of the triangle.
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the height....h
b*h/2=14
b=h+3
h*(h+3)=28
h*(h+3)=4*7
h=4 cm , b=7 cm
base x height/2 = 14
base x height = 28
Base - height = 3
Base = 7
Height = 4.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder of the money on music. Write an inequality to show how much he can spend on music.
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4 groups of 6= 3 groups of___?
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4 • 6 = 24
24/3 = 8
So, 4 groups of 6 = 3 groups of 8.
I really hope this helped you out! :)
Melissa is 24 years younger than Joyce. In 2 years Joyce will be 3 times as old as Melissa will be then. How old are they right now?
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Melissa 12 and Joyce 36
7/10 × 4/7 × 30/20 × 20/14=
I'm unsure how to multiply more than two fractions at a time
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Mrs Kipling ordered flowers for centerpieces.She ordered 168 flowers.She needs to put 15 flowers in a vase for 14 tables.Does Mrs.Kipling have enough flowers for 14 tables? Explain why or why not.
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For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
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The slope of a tangent line in the polar coordinate is given by:
[tex]m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta} [/tex]
Thus, we have:
[tex]m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta} [/tex]
Part A:
For horizontal tangent lines, m = 0.
Thus, we have:
[tex]\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta[/tex]
Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
θ = 0
θ = 2.02875783811043
θ = 4.91318043943488
Part B:
For vertical tangent lines, [tex] \frac{1}{m} =0[/tex]
Thus, we have:
[tex]\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta[/tex]
Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
θ = 4.91718592528713
For the polar curve r = θ, the tangent lines are horizontal when θ = 0 and θ = π, and the tangent lines are vertical when θ = π/2 and θ = 3π/2.
Explanation:The question is asking us to find the values of θ for which the tangent lines to the polar curve r = θ are horizontal and vertical. To do this, we need to first derive the slope of the tangent line in polar coordinates.
The derivative dr/dθ represents the slope of the radius with respect to θ, or in other words, the slope of the curve. When r = θ, the derivative dr/dθ = 1. This slope is equal to the tangent of the angle that the tangent line makes with the positive x-axis.
Therefore, for the tangent lines to be horizontal, the angle needs to be 0 or π rad (0 or 180 degrees). For the tangent lines to be vertical, the angle needs to be π/2 or 3π/2 rad (90 or 270 degrees). Using the equation r = θ in rad, we find the horizontal tangents are when θ = 0 and θ = π, while the vertical tangents are when θ = π/2 and θ = 3π/2.
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solve the equation 5n + 5 = 45
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5n+5=45
-5 -5
5/5n=40/5
n=8
What is the value of the function y = 2x + 3 when x=−1 ?
A. 5
B. 2
C. 1
D. −5
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Theresa walked around the track 22 times. How far did she walk? Write as an improper fraction or mixed number.
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so 1/6 times 22 is 3.666666666666
that is (11/3)
or
(3 and 2/3)
Hope this helps :)
If Harry's new balance was $123.40, what would be his total available credit?
A. $500.00
B. $367.60
C. $376.60
D. $123.40
I'm not sure how to find total credit available but I tried it two different ways and got two answers so I'm between B and C. If you just subtract the new balance from the total credit you get C but if you subtract both the new balance and payments you get B. Please help
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explain how it to use linear factors to determine the equation of a polynomial function
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[tex]x= \frac{-b+- \sqrt{ b^{2}-4*a*c} }{2*a} [/tex] with the +- meaning that you can have one solution (a) by adding and (b) by subtracting.
Next, in ax²+bx+c=0, we want to add b up to have dx+zx=bx as well as (d*z)=(c*a). For example, in 6x²+2x-4, we have 6*-4=-24. We have to find 2 numbers that add up to 2 but multiply to 24 - -4 and 6 work. Therefore, we have 6x²+6x-4x-4. Factoring it out, we have 6x(x+1)-4(x+1). Since x+1 is the same in both, we have the equation being (6x-4)(x+1) as the factorization
:) help me please & tyyyy
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x = 12 and y = 46
y = 3x + 10
46 = 3(12) + 10
46 = 36 + 10
46 = 46
The answer is true. I hope this helps love! :)
A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. The value of the function at 0 is 4. Graph the function. Identify the slope, y-intercept, and x-intercept of the graph.
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A. Finding the slope
The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
Check out the image attached
The linear function described is y = -2x + 4, with a slope of -2 and a y-intercept at (0,4). The line for this function will pass through the points (0,4) and (2,0), the latter being the x-intercept.
Explanation:The question asks to graph a linear function in which the dependent variable decreases 6 units for every 3 units the independent variable decreases, and the function's value at 0 is 4. The nature of this relationship implies that the slope of this function is -2 (calculated as -6 divided by 3). Therefore, the equation for this linear function, using the slope-intercept form y = mx + b, will be y = -2x + 4. In this equation, -2 is the slope (m) and 4 is the y-intercept (b, the function's value when x is 0).
To graph this function, you start by marking the point (0,4) on your graph. From this point, you then go down 2 units (as the slope is -2) and 1 unit to the right (as the decrease in y for a 1 unit increase in x). You will continue this pattern to graph the line. The x-intercept—the point at which the line crosses the x-axis (i.e., where y = 0)—occurs at x = 2, because plugging in 0 for y in the equation gives us -2x + 4 = 0, which simplifies to x = 2. So the final line should pass through the points (0,4) and (2,0).
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PTINO Can you unscramble this... It's the answer to this riddle; Decimals always win in arguments with fractions. What do decimals have that fractions don't?
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Simplify
| -3.9 | + | 3.9 |
A. -7.8
B. 0
C. 7.8
D. 8
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When a negative number is inside the absolute value, it turns out to be positive number anyways so the equation is basically 3.9 + 3.9 = 7.8
Lafayette county has a population of 7,022 people .Columbia county population is 8 times as great as Lafayette County's population.WHAT IS THE POPULATION OF COLUMBIA COUNTY
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So, you would get this equation:
7,022(8) = population
Your answer is: 56,176 people.
Jaces dad drives 605 miles in 11 hours
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To determine how many miles are driven per hour, you would divide the total number of miles driven by the total number of hours it took to drive it.
605 ÷ 11 = 55mph
Jace's dad drove 55 miles per hour.
I hope this helps!
Does the equation y = 3x - 12 show a proportional relationship between x and y? Explain
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y = 3x - 12 does not. What's the difference? No constant term, such as -12. Recognize direct proportion as being expressed as y = kx (no constant term).
What is the product of 8.2 × 10/\9 and 4.5 × 10/\-5 in scientific notation?
36.9 × 10/\-45
12.7 × 10/\4
3.69 × 10/\5
3.69 × 10/\14
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To make things easier for you, the correct answer is C: 3.69 × 10^5
which expression is equivalent to 2^2×2/2^4
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(4)(2)/16
Now we can solve. 4(2) = 8 so now we have 8/16. 8/16 simplifies to 1/8 when you divide the numerator and the denominator by 8. So there you go! Your final answer is 1/8! I really hope that helped you out, and happy holidays!
I WILL GIVE BRAINLIEST to who answers this question correctly.
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C = 6
D = 8
Then C x D = 48
So the product CxD is situated at 48 units from 0
Helpppppp fast am being timed
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The second one (up and right) does represent a linear function because y decreases a constant amount (3) when x increases a constant amount (1).
Th third one (bottom and left) does represent a linear function because y increases a constant amount (1) when x increases a constant amount (1).
The fourth (bottom and right) does not represent a linear function because the change is y is not constant when x increases a constant amount.
Don't understand need help
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So, your questions are basically having to do with rotations. This means to rotate certain points in a grid.
The following are formulas for solving rotations-
90 Degrees Clockwise About The Origin = (X,Y) -> (Y,-X)
180 Degrees About The Origin = (X,Y) -> (-X,-Y)
270 Degrees Clockwise About The Origin = (X,Y) -> (-Y,X)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
90 Degrees Counterclockwise = 270 Clockwise
270 Degrees Counterclockwise = 90 Clockwise
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*Note, in the formulas, the negative sign only stands for the opposite. So if your original point is a negative, it will become positive,
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that we have our formulas, let's put them into affect with your points.
13) 90 Degrees CC = 270 Degrees Clockwise. Formula- (X,Y) -> (-Y,X)
A (2,-2) -> A' (2,2)
B (4,-1) -> B' (1,4)
C (4,-3) -> C' (3,4)
D (2,-4) -> D' (4,2)
*Note, the symbol _'_ Stands for prime. All this means, is the new point.
15) Now, I apologize, but I'm a bit confused on this one :( When it says about point L, I can't tell if it just wants that one point, or the whole figure translated. Again, I am so sorry :(
17) This one I do know. 270 degrees CC = 90 degrees Clockwise. Formula- (X,Y) = (Y,-X).
W (-6,-2) -> W' (-2,6)
X (-2,-2) -> X' (-2,2)
Y (-2,-6) -> Y' (-6,2)
Z (-5,-6) -> Z' (-6,5)
Hope this helped! Again, sorry about number 15. Have a great day!
Regards,
~KayEmQue
how do i solve? i don’t understand how you have to get the denominator
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Remember, if a power is ever negative, then you have to turn it into a fraction, and if a power is zero, then the whole number turns into 1 :)
4⁻³ turns into 1/4³ due to the fact that the power is negative.
So, our question now looks like this :
1/4³ · 1
Simplify.
1/64 · 1
Simplify.
Our answer is : 1/64
~Hope I helped!~
one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?
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time = x hr/job ; rate = 1/x job/jhr
Slower maid DATA:
time = 3x hr/job ; rate = 1/3x job/hr
Together DATA:
time = 3 hr/job ; rate = 1/3 job/hr
Equation:
rate + rate = together rate
1/x + 1/3x = 1/3
Multiply thru by 3x to get:
3 + 1 = x
x = 4 hrs (time for the faster maid to do the job)
By setting up and solving the equation based on the work rates of the maids, we find that the faster maid would need 4.5 hours to clean the complete house alone.
Explanation:Let's denote the time it takes for the faster maid to clean the house alone as x hours and for the slower maid as 3x hours (since she is three times slower). When they clean the house together, their combined work rate is 1 house per 3 hours.
We can set up an equation based on the work done: The faster maid's work + the slower maid's work = the total work done. Here, the 'work' is a fraction of the house cleaned per hour, so the equation can be written as: 1/x + 1/(3x) = 1/3.
By solving this equation, we find that x = 4.5. Hence, the faster maid would need 4.5 hours to clean the house alone.
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