Answer:
1/6y^3
Step-by-step explanation:
Answer:
1/6y^3
Step-by-step explanation:
cancel the common factor of y^2 and y^5
A bike tire has a diameter of 16 inches What is the radius of the bike What is the circumference of the bike
Work out 30% of $150
Answer:
$\(45\)
Step-by-step explanation:
\(30\)% \(\mathrm{of}\) $\(150\)
\(=\frac{30}{100}\times 150\\\)
\(=\) $\(45\)
Find the quotient below. Write the answer as a fraction in the simplest form 7 1/2 divided 5/6
Answer:
9
Step-by-step explanation:
steps for dividing mixed numbers.
Change every mixed number to an improper fraction.
Multiply the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms (or simpliest form)
Check to be sure the answer makes sense.
Met Manufacturing produces inexpensive sunglasses. The selling price per pair is $9.44, with variable costs per pair being $2.19. Fixed costs, which include paying off the plant, labor, insurance, marketing, and management, are $748,374. What is the break-even point?
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
Definitiοn οf a unitary methοd.The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.
Here,
We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.
Assume that X sunglasses must be sοld tο break even.
Fixed cοst plus variable cοst equals tοtal cοst.
Selling price x Number οf units sοld equals tοtal revenue.
The tοtal revenue and entire expense are equal at the break-even pοint.
Thus, we can cοnstruct the equatiοn:
Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.
=> $9.44 X = $748,374 + $2.19 X
=> $9.44 X - $2.19 X = $748,374
=> $7.25 X = $748,374
=> X = $748,374 / $7.25
=> X = 103,184
Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
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The domain and ranger of a linear function is always all real numbers true or false ?
Answer:
Step-by-step explanation:
The domain and range of a linear function is always real numbers (T or F)
It is True. This is because of a couple of reasons.
1.) You cannot divide by 0.
2. A negative number cannot have its square root taken.
The range is determined by the domain in a linear function, and thus it must always consist of real numbers.
Evaluate the expression. 4^2−3⋅4+7 Enter your answer in the box.
The answer is:
11
Hopefully this is right
Answer:
11
Step-by-step explanation:
\(4^{2}\)-3*4+7 = 16 -12+7 = 4+7 = 11
6x^2=-3x+1 to the nearest hundredth
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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Find the missing angle
HELP PLZZ
Answer:
The missing angle ;
b = 136°
Step-by-step explanation:
22°+22°+b°=180°{the sum of angle of triangle is 180°}
or, 44°+b° = 180°
or, b° = 180° - 44°
or, b° = 136°
b° = 136°
Answer:
\(\boxed {\boxed {\sf b=136 \textdegree}}\)
Step-by-step explanation:
The angles in a triangle must add to 180 degrees. Therefore, the three angles we are given must have a sum of 180.
\(b+22+22=180\)
First, let's combine like terms on the left side of the equation. Add 22 and 22.
\(b+44=180\)
Now, let's solve for b.
We must isolate b on one side of the equation. Currently, b is not alone because 44 is being added to b. In order to "get rid" of the 44, we must perform the inverse operation. The inverse of addition is subtraction. Subtract 44 from both sides of the equation.
\(b+44-44=180-44\)
\(b=180-44\)
\(b=136\)
The missing angle b is 136 degrees.
A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
h(t) = 13.92
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
s
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
m/s
(d) If the stone is thrown downward with a speed of 6 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
s
a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.
b) It takes approximately 13.93 seconds for the stone to reach the ground.
c) The stone strikes the ground with a velocity of approximately 136.04 m/s.
d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.
When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.
First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:
h(t) = h0 + vt + 0.5at²
where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.
Using the given values, we can plug in the numbers and simplify:
h(t) = 950 + 0t + 0.5(9.8)t²
h(t) = 950 + 4.9t²
To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:
0 = 950 + 4.9t^2
t^2 = 193.88
t ≈ 13.93 seconds
To find the velocity at which the stone strikes the ground, we can use the formula:
v = v₀ + at
where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:
v = 0 + 9.8(13.93)
v ≈ 136.04 m/s
Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:
h(t) = 950 - 6t + 0.5(9.8)t²
0 = 950 - 6t + 4.9t²
t² - 1.22t - 193.88 = 0
t ≈ 16.75 seconds
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-5x =30
The answer options are 6,-6,25,35
Answer:
-6 or x = -6
Step-by-step explanation:
To solve -5x = 30, divide each side by -5.
-5x / -5 = x
30 / -5 = -6
x = -6
(negative times a negative = a positive)
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 44 km south and 227 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
The time JBLM will you be the closest to Mt. Rainier will be 5.12 minutes.
What is Distance?A measurement of the distance between two places along a line or line segment.
The plane's flight route follows the line.
y = -125/135x = -25/27x
The direction of the perpendicular line passing across Mt. Rainier is,
y = 27/25(x -56) -40
In standard form, these two equations are,
25x +27y = 0
27x -25y = 2512
The coordinates at the closest approach are the answers to these two equations:
(x, y) = (33912/677, 31400/677)
The Pythagorean theorem (distance formula) states that the distance d from the origin to this point is as follows:-
d = 1256√(2/677) km
The airplane's speed can be used to convert this distance to time:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
So, 5.12 minutes after leaving JBLM, Mt. Rainier will be the nearest.
The attached graph shows the geometry of the problem.
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The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Which of the following points satisfies y < 3x - 6?
(2, -4)
(1,0)
The point (2,-4) satisfies y < 3x - 6
How often should I study math per week?
I usually study every day but that's really tiring for me
I know this isn't the perfect place to put this question but I have no one else to ask sooo
Step-by-step explanation:
math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.
there is not a one sized fits all answer, do what's best for you.
Answer:
I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.
Step-by-step explanation:
An increase of 10% would give workers a salary of $880. What salary would an increase of 20% give?
Answer:
$960
Step-by-step explanation:
110% = $880
10% = $80
120% = $960
how many roots. real or complex doses the polynomial 7+5x^4-3x^2
Answer:
4 roots
Step-by-step explanation:
Assuming the exuation is
7+(5x^4)- (3x^2)
the polinomial has 4 roots
because a polynomial always has as many roots as it's highest degree
Answer:
4 complex roots
Step-by-step explanation:
HELPP its hard this is too hard for Shay ( my name)
Answer:
ok
Step-by-step explanation:
yeet
Place the numbers 2,4,6,8,10,12, 14, 16,18 in the squares below so that the sum of the numbers in every column, row, and diagonals is equal to 30.
The way the numbers will be placed in the square box will be:
First row = 4 12 14
Second row = 2 10 18
Third row = 6 8 16
How to illustrate the information?It should be noted that the question is simply about adding the numbers and getting 39 in each place.
This will be:
First row = 4 12 14 = 4 + 12 + 14 = 30
Second row = 2 10 18 = 2 + 10 + 18 = 30
Third row = 6 8 16 = 6 + 8 + 16 = 30
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x:-13.8=x-4.3 Describe in words how to solve a one step equation
Answer:
Research mo sa goole diba tama
f(x)=x^5+(x+3)^2 which value completed the table
Answer:
three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.
Triangle DEF, shown below, is reflected over the y-axis to form triangle D'E'F'. What are
the coordinates of F'?
(4,6)
(6,4)
(-4, -6)
(-6, -4)
Answer:
(-6, -4).
Step-by-step explanation:
When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.
The original coordinates for F are (6, -4).
The new coordinates for F would be F' (-6, -4).
Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?
The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.
The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.
Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.
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Don is 6 feet tall. At a given time of day, he measures his shadow to be 10 feet long.
At the same time, he measures the shadow length of a nearby tree to be 38 feet. How
tall is the tree?
Round your answer to the nearest whole foot.
Answer:
Ok, so with this problem, you would start with the equation 6/10=x/38.
Then, cross multiply:
38(6)=10x
After, you would:
38 x 6 = 228
Then:
228/10
Lastly:
x=22.8m which when rounded equals 23 ft.
I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
This is about Linear Equations, Please Help Me.
Option is Greater then, Less then and equal to
Answer:
Step-by-step explanation:
x inter for line a = 1
x inter for line B = -4
Line A is greater then Line B
does anyone know the answer?
Answer:
is it correct please tell
-2.666
can someone help me with this question?
the size of an impala population is represented by the function r(t)=10+2cos(pi/6 t), where t is time in months since the beginning of the year and R(t) is measured in thousands. After 3 months, the population is ______ at a rate of _____ thousand per month. Round to 2 decimal places.
The population of impalas at t = 3 months is decreasing at a rate of \(-(\frac{\pi}{3})\) thousand per month, or approximately -1.05 thousand per month.
What is derivative?The derivative is a mathematical concept that represents the rate of change of a function with respect to its input.
To find the population of impalas after 3 months, we can substitute t = 3 into the given function;
\(R(t)=10+2Cos(\pi t/6)\)
\(R(3)=10+2Cos(\pi *3/6)\)
\(= 10 + 2cos(\pi/2)\) = 10
Therefore, the population of impalas after 3 months is 10,000 (since R(t) is measured in thousands).
To find the rate of change of the population at t = 3 months, we can take the derivative of the function R(t) with respect to t:
\(R(t)=10+2Cos(\frac{\pi t}{6} )\)
\(R'(t)=-\frac{\pi}{3} Sin (\frac{\pi t}{6} )\)
Substituting t = 3 into the derivative, we get:
\(R'(3)=-\frac{\pi}{3} Sin (\frac{\pi}{2} )\\\)
\(= -\frac{\pi}{3}\)
Therefore, the population of impalas at t = 3 months is changing at a rate of \(-(\frac{\pi}{3})\) thousand per month, or approximately -1.05 thousand per month (rounded to 2 decimal places).
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HELP ME please. i dont understand this.
Answer:
Step-by-step explanation:
Perimeter add all the sides.
so let's walk around and combine like terms:
starting on the bottom moving to the left.
3x^2 + x^2= 4x^2 (there are no other squared terms)
back to the bottom moving left again:
-11x-3x+3x+x = -10x (-3x + 3x =0)
so -11x + x = -10x
now add all of the constants
-1 + 2 = 1
so your answer is
4x^2 -10x + 1