I need help with factoring.

25x\(x^{2}\)-30x+9

Answer:

-8/3

Step-by-step explanation:

-8/3

you count up from when the line intercepts a secure point that would be 8

then 3 over

its negative because it points down on the right

Answer:

∡S corresponds to ∡X

∡TXY = ∡RST

∡XTY = ∡SRT

∡XYT = ∡STR

Step-by-step explanation:

Answer: im thinking angle txy for the answer, but i mean, why can't you guys who answer just say "_ = _" or "the answer is _" with an explanation below?!?!

Step-by-step explanation: :|

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)  is 1

What is average rate of change of a curve?

Average rate of change of a curve is equal to the slope of the curve and is obtained by dividing the change in functional value by the change in the value of the domain.

Here,

\(y = x^2 + 4x - 1\\\)

At x = -4,

\(y = (-4)^2+ 4(-4)-1\\y = -1\)

At x = 1

\(y = (1)^2 + 4(1) -1\\y = 4\)

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)

= \(\frac{4 - (-1)}{1- (-4)}\\\\\\\frac{5}{5}\\\\1\)

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Five times as large= multply by 5

As large as five times

Then

X =5x 3x6 =

X = 90

Answer:

5.35*2+x=16 and the answer is $.35

Step-by-step explanation:

5.35*2+x=16

10.70+x=16

-10.70     -10.70

x=5.30

5.30/15= about .35

Answer

$12.65/15

Step-by-step explanation:

$16.00-$5.35=$12.65

This means that $12.65/15 is the cost of each apple.

To achieve a 98 percent cycle-service level, the reorder point for the ball-point pen should be approximately 17,978 pens.

The reorder point is the level at which a new order should be placed to replenish inventory. It is determined by considering the average demand during the lead time plus a safety stock to account for demand variability.
Given that the average demand for the pen is 11,240 pens per week with a standard deviation of 2,947 pens, and the average lead time is 4.6 weeks with a standard deviation of 1.7 weeks, we can calculate the safety stock.
To achieve a 98 percent cycle-service level, we need to cover 98 percent of the demand during the lead time. This corresponds to having a safety stock that covers the demand during 2 standard deviations above the mean lead time demand.
The safety stock can be calculated by multiplying the standard deviation of the demand during lead time by the z-value corresponding to a 98 percent service level. Assuming a normal distribution, the z-value for a 98 percent service level is approximately 2.33.
Safety stock = (Standard deviation of demand during lead time) * (z-value for a 98 percent service level)
= 2,947 pens * 2.33
= 6,870 pens (rounded to the nearest whole number)
Therefore, the reorder point is the average demand during lead time plus the safety stock:
Reorder point = Average demand during lead time + Safety stock
= 11,240 pens + 6,870 pens
= 17,978 pens (rounded to the nearest whole number).
Hence, to achieve a 98 percent cycle-service level, the reorder point for the ball-point pen should be approximately 17,978 pens.

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Answer:

x^2 + y^2 = z^2

There are infinitely many choices for whole numbers x, y, and z.

The coordinates of A after the transformation is (2, 1)

From the question, we have the following parameters that can be used in our computation:

A = (-7, 7)

The transformation is given as

translated 9 units right and 6 units down

Mathematically, we have

(x + 9, y - 6)

Using the above as a guide, we have the following:

A' = (-7 + 9, 7 - 6)

Evaluate

A' = (2, 1)

Hence, the image is (2, 1)

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Answer:

Step-by-step explanation:

Multiply the figure outside the bracket with each figure inside the bracket, and also be cautious of the signs.

1) -5(x + 2)

= -5x - 10    (multiply -5 with x and then multiply it with +2)

3) 7(1-9x)

= 7 - 63x    (multiply 7 with 1 then multiply it with 9x)

5) 9(8 - 8a)

= 72 - 72a    (multiply 9 with 8 then multiply it with 8a)

7) 4n - 7n

= -3n           (subtract the numbers only, as both are being multiplied with n, they can be subtracted)

9) n - 2 + 6

= n + 4          

Option A. The percentage of items that can be recycled is 35%

We are first to determine the objects that can be recycled and those that cannot be recycled.

The recyclable objects that we have here are:

milk bottles = 2

soda cans = 2

newspapers = 3

The total number of recyclables = 7

The items that can not be recycled are:

1 banana peel

12 apple cores

The total number of recyclables = 13

The total number of objects = 7 + 13 = 20

The percentage of recyclables would be 7 / 20 * 100

= 35%

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The simplified expression of the function is 1 - sinθ.

Expression :

secθ−tanθsinθ

= 1/cosθ − sinθ/cosθ = 1 - sinθ

simplify the expression as :

secθ = 1/cosθ

tanθ = sinθ/cosθ

sinθ/cosθ = sinθ

Therefore,

secθ−tanθsinθ = 1/cosθ − sinθ/cosθ = 1 - sinθ

The expression is simplified as 1 - sinθ.

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The Fundamental Counting Principle, choosing from 3 sizes of bottled water and from distilled, filtered, or spring water is 9 ways.

The Basic Counting Principle is a technique used in mathematics, more especially in probability theory and combinatorics, to determine how many combinations of options, items, or outcomes are possible. The Rule of Multiplication, the Product Rule, the Multiplication Rule, and the Basic Counting Rule are some of its alternate names.

It has a connection to the Sum Rule, often known as the Rule of Sum, which is a fundamental counting method used to calculate probabilities.

According to the Basic Counting Principle, if a decision or event has a potential result or set of options, and a different decision or event has b possible outcomes or choices, then the sum of all the unique combinations of outcomes for the two is ab.

Using the fundamental counting principle, if an event occurs in m ways and another event occurs in n ways then the total occurrence is given as (m)(n).

Given that,

m = 3 for choosing between sizes.

n = 3 for distilled, filtered, or spring water.

Thus, the total number of occurrence is given as:

T = (3) (3) = 9

Hence, the Fundamental Counting Principle, choosing from 3 sizes of bottled water and from distilled, filtered, or spring water is 9 ways.

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The the maximum height reached by the rocket, to the nearest tenth of a foot is 914.14 ft.

The rocket launched from the top of the tower is covering a height y in feet in the time x in seconds.

Now, the equation of the motion is,

y=-16x²+227x+109

Differentiating respect to x,

dy/dx = -32x + 227

For maxima and minima,

Putting dy/dx = 0,

x = 227/32

Now, putting this value,

y= -16(227/32)²+227(227/32)+109

y = 914.14 ft.

So, the maximum height of the rocket is 914.14ft.

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Complete question - A rocket is launched from a tower. the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

Complete question -

y=-16x^2+227x+109

Answer:

0.064

Step-by-step explanation:

the correct answer is 0.064

Answer:

28°

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28°

Please brainlest!

Answer:

-59049

Step-by-step explanation:

Find the common ratio

3 * r = -9

 r = -3

from first to 10th is 9 ratios

   3 * (-3)^9 = -59049

Answer:

145°

Step-by-step explanation:

35+(5x+5)° = 180° (opposite angles sum up to 180°)

35+5x+5 = 180

40+5x = 180

5x= 180- 40

5x = 140

x = 28

therefore, the missing angle = (5x+5)°

= (5×28+5)= 140+5= 145°

Answer:

\(w=60\)

Step-by-step explanation:

\(15+w=75\)

Subtract 15 from both sides of the equation.

\(15+w-15=75-15\)

\(w=60\)

Answer:W=60

Step-by-step explanation:

Simplify both sides of the equation.

W+15=75

Then Subtract 15 from both sides.

W+15-15=75-15

15-15=0 leaving w on its own. 75-15=60

W=60

Answer:

73.6ft

Step-by-step explanation:

The equation for the area of a parallelogram is base x height

Insert numbers and you have 9.2 x 8

9.2 x 8 is 73.6

Therefore the area is 73.6 ft

Answer:

100 is the answer

Step-by-step explanation:

The distance between the two planes is decreasing is approximately 323.6 mi/h and the traffic controller has approximately 9.7 min to get planes on different flight path before distance between becomes zero.

a) The rate at which the distance between the two planes is decreasing can be found by taking the derivative of the distance equation with respect to time:

\(s^2 = (149^2 + x^2) + (190^2 + x^2) - 2(149)(190)cos(90°) = 44961 + 2x^2\)

Taking the derivative with respect to time, we get:

\(2s(ds/dt) = 4x(dx/dt)\)

Solving for ds/dt, we get:

\(ds/dt = 2x(dx/dt) / s\)

\(x^2 = 149^2 + 190^2\) = 62081

x = sqrt(62081) = 249 mi

Thus, the rate at which the distance between the two planes is decreasing is:

\(ds/dt = 2(249)(489) / sqrt(44961 + 2(249^2))\) ≈ 323.6 mi/h.

Therefore, the distance between the planes is decreasing at a rate of approximately 323.6 mi/h.

b) Setting s = 0 in the equation derived above and solving for x, we get:

x = sqrt(22480.5)

Since x is decreasing at a rate of 489 mi/h, the time it takes for x to reach 0 is:

t = sqrt(22480.5) / 489 ≈ 9.7 min.

Therefore, the traffic controller has approximately 9.7 min to get one of the planes on a different flight path.

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Answer:

yes they are

Step-by-step explanation:

triangle ️ WXY has angles 90 and 56. to find the last angle 180-(90+56) = 34 degrees.

triangle ️ JKL has angles 90 and 34. To find last angle 180-(90+34) = 56 degrees.

since all 3 angles on the 2 triangles are equal the triangles are congruent.

Answer: D.

Step-by-step explanation: s^5 + 10s^4v + 40s^3v^2 +80s^2 v^3 +80sv^4 +32v^5

Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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Hey there! I'm happy to help!

Let's flip the equation so m is on the left.

3m-16=-40

Let's isolate the m to see what it equals. We add 16 to both sides.

3m=-24

And we divide both sides by 3.

m=-8.

Have a wonderful day! :D

Answer:

Step-by-step explanation:

3m - 16 = -40

3m = -24

m = -8

Option E should be chosen, which is to explore the assignable causes because the second, fourth, and fifth samples are above the mean.

In an x-bar chart, the control limits (UCL and LCL) are based on the process variability and are used to determine if the process is in control. The central line represents the mean of the process.

Looking at the given sample means of 18, 23, 17, 21, 24, and 16, we can see that the second, fourth, and fifth samples are above the mean of 20. This suggests a potential shift or deviation from the expected process mean.

In an x-bar chart, if any sample mean falls outside the control limits or exhibits a non-random pattern, it indicates the presence of assignable causes, which are factors that can be identified and addressed to improve the process. Since the second, fourth, and fifth samples are above the mean, it is advisable to explore the assignable causes, as stated in option E.

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It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a).

If two events "A" and "B" are such that the occurrence of either one of the two events before the occurrence of another event affects the event occurring later, the probability that event "A" will happen given that the event "B" has occurred is:

\($P(A \mid B)=\frac{P(A \cap B)}{P(B)}$$\)

a) The likelihood that the person bought a small cup, P(S) = 0.34

The likelihood that the person bought a cup of decaf coffee, P(D) = 0.40

b) If the selected individual purchased a small cup then the probability that he/she chose decaf coffee:

\($P(D \mid S) & =\frac{P(S \cap D)}{P(S)} \\\)

\($& =\frac{0.20}{0.34} \\\)

= 0.5882

If it is a tiny cup, the likelihood that someone bought a decaf coffee is 0.5882.

c) If we learn that the selected individual purchased decaf, the probability that small size was selected

\($P(S \mid D) & =\frac{P(S \cap D)}{P(D)} \\\)

= 0.20/0.40

= 0.5000

When compared to the equivalent unconditional probability of part(a),

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a). If the coffee is decaf, there is a chance that the buyer only bought a little cup.

The complete question is:

The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?

b. We learn that the selected individual purchased a small cup. What now is the probability that he/she chose decaf coffee, and how would you interpret this probability?

c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?

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If the perimeter of the isosceles triangle is 12 cm, then the base of the triangle (x), as well as the length of the triangle leg (x) is 4 cm.

An isosceles triangle is a type of triangle in which two sides have the same length. These two equal sides are referred to as the legs of the triangle, while the remaining side is known as the base.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, since the triangle is isosceles, the base and one leg have the same length (x), and the other leg also has the same length (x). Therefore, the perimeter of the triangle is 2x + x = 3x. Given that the perimeter of the isosceles triangle is 12 cm, then:

3x = 12

 x = 12/3

 x = 4

So, the base and legs of the isosceles triangle each have a length of 4 cm.

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Your question seems to be missing the value for the perimeter of the triangle, but I suppose the complete question was:

"The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is 12 cm. Find x."