Factor the polynomial expression x4+18x2+81
Answers
Answer:
x^2, 3^2, 3, x^2 +9
Step-by-step explanation:
if not swy but i think its that
Answer:
Step-by-step explanation:
Related Questions
PLZ HELP
Solve each equation.
a.(8.5) ⋅ (- 3) = a
b.(- 7) + b = (-11)
c.c - (- 3) = 15
d.d⋅ (-4) = 32
Answers
Answer:
\(a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8\)
Si tengo 10 melones y voy a repartir entre 15 niños cuánto le toca a cada uno
Answers
Answer:
0.66 melones por niño o 2/3
Step-by-step explanation:
10/15=2/3=0.66
Add 2.5 to the product of 4.2 and 0.2
Answers
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?
Answers
Answer:
$40.93
Step-by-step explanation:
GivenLinear function of:
14 HCF = $32.6852 HCF = $95.38To find:
19 HCF = ?SolutionLinear equation in slope-intercept form:
y(x) = mx +bWe have points of: (14, 32.68), (52, 95.38):
y(14) = 14 m + by(52) = 52 m +bUsing the points we can find the value of m and b:
m= (y2-y1)/(x2-x1)m= (95.38 - 32.68)/(52 - 14)m = 62.7/ 28m= 1.65Then finding b:
14*1.65 +b = 32.68b= 32.68 - 23.1b= 9.58So the function is:
y = 1.65 x + 9.58Then y(19) is found as:
y(19) = 1.65*19 + 9.58y(19) = 40.93Answer: Cost of 19 HCF of water is $40.93
0.3/10 as a decimal
plz help
Answers
Answer:
0.30
Step-by-step explanation:
The 0 goes in the tenths place because it was 0.3/10 I hope this helps at all:)
Answer:
0.03
Step-by-step explanation:
Kelly is making a bubble mixture for kids to play with at a backyard party. She adds 1/4 of a cup of corn syrup to 6 cups of soap and water.
She wants to make more bubble mixture and has 18 cups of the soap and water mixture to use.
How much corn syrup does she need to add?
A. 2/3 of a cup of corn syrup
B. 3 cups of corn syrup
C. 3/4 of a cup of corn syrup
D. 3 1/4 cups of corn syrup
Answers
Answer: C. 3/4 of a cup of corn syrup
Step-by-step explanation:
We will set up a proportion to help us solve.
\(\displaystyle \frac{1/4\text{ cup corn syrup}}{6\text{ cups of soap and water}} =\frac{x\text{ cups corn syrup}}{18\text{ cups of soap and water}}\)
Next, we will cross-multiply.
1/4 * 18 = 6 * x
9/2 = 6x
Lastly, we will divide both sides of the equation by 6.
x = 3/4 of a cup of corn syrup
C. 3/4 of a cup of corn syrup
The data sets below include four random samples of pulse rates, in beats per minute. Each sample includes the pulse rates for 7 individuals. Use the range rule of thumb to find an estimate for the standard deviation, then determine which sample has the smallest amount of variation.
Sample 1 64,78,54,102,76,86,56
Sample 2 100,90,70,70,78,70,94
Sample 3 70,66,50,72,66,64,54
Sample 4 78,36,102,68,66,56,70
Select the correct answer below:
Answers
According to the range rule of thumb, sample 3 has the smallest amount of variation, with an estimated standard deviation of 5.5.
What is a standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
The range rule of thumb is a rough estimate for the standard deviation of a sample, calculated as the range (maximum value minus minimum value) divided by 4.
We can calculate the range and the estimate for the standard deviation for each sample as follows:
Sample 1: range = 102 - 54 = 48, estimate for standard deviation = 48/4 = 12
Sample 2: range = 100 - 70 = 30, estimate for standard deviation = 30/4 = 7.5
Sample 3: range = 72 - 50 = 22, estimate for standard deviation = 22/4 = 5.5
Sample 4: range = 102 - 36 = 66, estimate for standard deviation = 66/4 = 16.5
Therefore, the required sample is sample 3.
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What are the answers
Answers
Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }\)
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
Your friend names a pair of supplementary angles. Is your friend correct? Explain.
Please someone help me for brainliest
Answers
Answer:
No
Step-by-step explanation:
Combined ABC and EBD will not be supplementary . ABC and CBD would be supplementary and ABE and DBE would be supplementary
Answer:
yes your friend is correct b/c you can tell by the shape and the way that the angles are lined up that they are supplementary
Step-by-step explanation:
William says that 15years from now his age will be 3 times his age 5 years ago if x represents williams present age complete the following sentences
Answers
Answer:
Is the question complete
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
From Pine Knob:
Answers
The equation that can be used to find the height of the tree is as follows:
\(\frac{h}{sin 29} =\frac{40}{sin147}\)
The height of the tree is 35.6 m
How to use sine rule to find height of the tree?Th equation that can be used to find the height of the tree uses the principle of sine rule.
Therefore,
\(\frac{h}{sin 29} =\frac{40}{sin(180-4-29)}\)
\(\frac{h}{sin 29} =\frac{40}{sin147}\)
Therefore,
\(\frac{h}{sin 29} =\frac{40}{sin147}\)
cross multiply
h sin 147 = 40 sin 29°
h = 40 sin 29° / sin 147
h = 19.3923848099 / 0.54463903501
h = 35.6015636045
h = 35.6 m
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2x (3x+20) find the value of X
Answers
Answer:
6x^2+40x
Step-by-step explanation:
2x(3x+20)
6x^2 +40x
That's your answer. you won't be able to find x
A ladder leans against the wall of a building. The ladder measures
55 inches and forms an angle of 63 with the ground. How far from
the ground, in inches, is the top of the ladder? How far from the
wall, in inches, is the base of the ladder? Round to two decimal
places as needed.
Answers
sin(63) = h/55 (since sine is opposite/hypotenuse)
cos(63) = x/55 (since cosine is adjacent/hypotenuse)
Solving for h, we get:
h = 55 sin(63) ≈ 50.38 inches
Solving for x, we get:
x = 55 cos(63) ≈ 26.87 inches
Therefore, the top of the ladder is approximately 50.38 inches from the ground, and the base of the ladder is approximately 26.87 inches from the wall.
Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8. Answer the following questions using integer values.
(a) What score do 25% of the students exam scores fall below?
And, the professor decides to grade on a curve. If he wants .15% of the students to get an A, what is the minimum score required.
I have tried a "calculator" I found online and the answers it provided gave me 50% credit and I don't know which answer is correct as I don't know how to do the actual calculation.
I would appreciate referral to any valid resources as it has been many, many years since I took a math class.
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?
Answers
Answer:
a) 25% of the students exam scores fall below 55.6.
b) The minimum score for an A is 84.68.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 61 and a standard deviation of 8.
This means that \(\mu = 61, \sigma = 8\)
(a) What score do 25% of the students exam scores fall below?
Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.
\(Z = \frac{X - \mu}{\sigma}\)
\(-0.675 = \frac{X - 61}{8}\)
\(X - 61 = -0.675*8\)
\(X = 55.6\)
25% of the students exam scores fall below 55.6.
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?
This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.
\(Z = \frac{X - \mu}{\sigma}\)
\(2.96 = \frac{X - 61}{8}\)
\(X - 61 = 2.96*8\)
\(X = 84.68\)
The minimum score for an A is 84.68.
for a circle with the given circumference of c, find the radius and diameter.
c=25 cm
Answers
Answer:
r=39.27
d=
Step-by-step explanation:
C=2pi(r)
25=2pi(r)
25/2pi=r
25/2pi=39.27
r=39.27
d=2r
d=2(39.27)
d=78.54
Find the value of the expression
28.6 - 35 + 12.7 - (-5.2)=
Answers
Answer:
Step-by-step explanation:
28.6 - 35 + 12.7 - (-5.2) = ?
28.6 - 35 + 12.7 + 5.2 = 11.5
The value of the expression 28.6 - 35 + 12.7 - (-5.2) is 11.5.
To find the value of the expression, simply follow the order of operations (PEMDAS):
28.6 - 35 + 12.7 - (-5.2)
Step 1: First, deal with the parentheses:
28.6 - 35 + 12.7 + 5.2
Step 2: Then, perform addition and subtraction from left to right:
(28.6 - 35) + 12.7 + 5.2
-6.4 + 12.7 + 5.2
Step 3: Continue with the addition and subtraction:
6.3 + 5.2
Step 4: Finally, calculate the sum:
11.5
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an aircraft carrier left Port 50 and traveled east. Eight hours later a submarine left traveling at 26 mph in an effort to catch up to the aircraft carrier. After traveling for five hours the submarine finally caught up. Find the aircraft’s carriers average speed.
Answers
Let's call the aircraft carrier's average speed "x".
In the 8 hours that the aircraft carrier traveled before the submarine left, it covered a distance of 8x miles (since distance = rate x time).
When the submarine left, it started "catching up" to the aircraft carrier, which means that the distance between them was decreasing. We can set up an equation to represent this:
8x + 5(x-26) = 8x + 5x - 130
The left side of the equation represents the total distance that the submarine traveled (5 hours at a speed of x-26) plus the distance that the aircraft carrier traveled in those same 5 hours (since they met up after 5 hours). The right side of the equation represents the total distance that the aircraft carrier traveled in those 5 hours (since it traveled at a constant speed of x).
Simplifying the equation:
13x - 130 = 16x
Subtracting 13x from both sides:
-130 = 3x
Dividing both sides by 3:
x = -43.33
Wait a minute... a negative speed? That doesn't make sense.
The issue here is that we made an incorrect assumption: we assumed that the aircraft carrier and submarine were traveling in the same direction. However, the problem doesn't actually specify which direction the aircraft carrier was traveling in.
Let's try this again, but this time we'll assume that the aircraft carrier was traveling west (since that's the only other direction it could be traveling in).
In 8 hours, the aircraft carrier would have traveled 8x miles to the west.
When the submarine left, it started "catching up" to the aircraft carrier by traveling to the west as well. We can set up an equation to represent this:
8x - 5(x+26) = 8x - 5x - 130
The left side of the equation represents the total distance that the submarine traveled (5 hours at a speed of x+26) minus the distance that the aircraft carrier traveled in those same 5 hours (since they met up after 5 hours). The right side of the equation represents the total distance that the aircraft carrier traveled in those 5 hours (since it traveled at a constant speed of x to the west).
Simplifying the equation:
3x - 130 = 3x
Subtracting 3x from both sides:
-130 = 0
Uh oh, we ended up with an equation that doesn't make sense.
The issue here is that we made another incorrect assumption: we assumed that the submarine caught up to the aircraft carrier exactly 5 hours after it left. However, we don't actually know how long it took the submarine to catch up.
Let's call the amount of time it took the submarine to catch up "t".
In the 8 hours that the aircraft carrier traveled before the submarine left, it covered a distance of 8x miles.
When the submarine left, it started "catching up" to the aircraft carrier by traveling to the west. We can set up an equation to represent this:
8x - t(x+26) = 8x - xt
The left side of the equation represents the total distance that the submarine traveled (t hours at a speed of x+26) minus the distance that the aircraft carrier traveled in those same t hours (since they met up after t hours). The right side of the equation represents the total distance that the aircraft carrier traveled in those t hours (since it traveled at a constant speed of x to the west).
Simplifying the equation:
8x - t(x+26) = 8x - xt
8x - tx - 26t = 8x - xt
8x - 8x - tx + xt - 26t = 0
-x(t-26) - 26t = 0
-x(t-26) = 26t
-x = 26
x = -26
Uh oh, another negative speed.
The issue here is that we made yet another incorrect assumption: we assumed that the aircraft carrier and submarine were traveling in a straight line. However, in reality they would have been traveling along the surface of the Earth, which is curved. This means that their paths would have intersected at some point, which would have affected the distance that the submarine traveled.
So unfortunately, we can't actually solve this problem with the information given. We would need to know more about the paths that the aircraft carrier and submarine took in order to determine the aircraft carrier's average speed.
I also need help with these
Answers
Answer:
Triangles = 4
Rectangles = 2
Step-by-step explanation:
Triangle.
8/2 = 4 . ratio = 4:1 or fraction form as 4
Rectangle.
4/2 = 2. ratio = 2:1 or fraction form as 2
If my answer is incorrect, pls correct me!
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-Chetan K
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.3 pounds and a standard deviation of 5.7 pounds. Step 2 of 2: If a sampling distribution is created using samples of the amounts of weight lost by 74 people on this diet, what would be the standard deviation of the sampling distribution of sample means
Answers
Answer:
The standard deviation of the sampling distribution of sample means would be of 0.6626 pounds.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 5.7 pounds.
This means that \(\sigma = 5.7\)
If a sampling distribution is created using samples of the amounts of weight lost by 74 people on this diet, what would be the standard deviation of the sampling distribution of sample means?
Sample of 74 means that \(n = 74\)
The standard deviaiton is:
\(s = \frac{\sigma}{\sqrt{n}} = \frac{5.7}{\sqrt{74}} = 0.6626\)
The standard deviation of the sampling distribution of sample means would be of 0.6626 pounds.
A person who weighs 100 pounds on Earth weighs 16.5 pounds on the moon. If a boy weighs 60 pounds on Earth, how much does he weigh on the moon?
Answers
Answer:
The answer is 10 Pounds.
Step-by-step explanation:
You get 10 pounds because you divide your weight by 6 and 60 divided by 6 is 10.
Answer:
3.636363636
Step-by-step explanation:
Because that is 16.5 percent of 60, you can find this by dividing 60 by your percentage your trying to find of it, 16.5 in this case.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
Answers
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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Neal invested $120,000 in stocks and bonds. He earned 18% on his stock investments and 12% on his bond investments. If Neal's combined profits on both types of investments were $17,400, how much did he invest in stocks?
Answers
Answer:
$50,000
Step-by-step explanation:
The given relations can be used to write and solve an equation for the amount invested in stocks.
SetupLet s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...
0.18s +0.12(120,000 -s) = 17,400
SolutionSimplifying the equation, we have ...
0.06s +14,400 = 17,400
0.06s = 3000 . . . . . . . . . . subtract 14,400
s = 50,000 . . . . . . . . . . . . divide by 0.06
Neal invested $50,000 in stocks.
__
Additional comment
The amount invested in bonds was 70,000. The profit earned was ...
0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400
Simplify the expression:
5(1 + 8d)
Answers
Answer:
5 + 40 d
Step-by-step explanation:
Hey there,
To simply this you have to multiply each term in the brackets by 5.
\(5(1+8d)\)
\(5+40d\)
Further explanation
5 ( 1 + 8 d )
5 × 1 + 5 × 8 d
5 +40 d
Hope this helps you.
Let me know if you have any other question :-)
Answer:
5+40d
Step-by-step explanation:
5×(1+8d)
5+40d ( 5 multiplies both numbers of brackets)
Which statement can be concluded using the true statements shown?
If two angles in a triangle measure 90° and x degrees, then the third angle measures (90-x) degrees.
In triangle ABC, angle A measures 90 degrees and angle B measures 50°.
Angle C must measure 50 degrees.
Angle C must measure 40 degrees.
O Angle C must measure (90 - 40) degrees.
O Angle C must measure (90-30) degrees.
Answers
Answer:
Angle C must measure 40 degrees.
Step-by-step explanation:
All angles in a triangle add up to 180 degrees
(90-50)=40 degrees
We can check our answer by adding all the angles up
90+50+40=180
Angle C must be 40 degrees
3/7r+5/8s when r=14 y s = 8
Answers
5/8 x 8= 5
6+5= 11
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answers
Answer:
The answer is Ahope this helps
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
Answers
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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Identify the sequence that lists sides of A STU in order from shortest to longest.
U
65°
S
45°
T
Answers
The sequence that lists the sides of the given triangle STU in order from shortest to longest is, US<ST<UT.
What are the three types of triangles based on their sides?The three types of triangles based on their sides are: equilateral, isosceles and scalene.
What are the three types of triangles based on their angles?The three types of triangles based on their angles are: acute, right and obtuse.
To find the sequence of length from shortest to longest we first need to find the missing angle S,
we're given,
angle U = 65
angle T = 45
Using the property of sum of interior angles of a traingle,
U + T + S = 180 degrees
or, 65 + 45+ S =180
therefore, S = 70
As we know the side opposite to the largest angle is the longest, hence the sequence becomes, US<ST<UT.
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You earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund, and how much discretionary money remains per month?
Answers
The amount that you need to save per month to fund the emergency fund would be $ 861. 58.
The discretionary money left per month would be $ 585. 88.
How to find the amount to save ?The gross income for the month :
= 17. 50 x 40 per week x 4 weeks a month
= $ 2, 800
The amount left which is realized funds for the month is:
= Gross income - FICA + Federal tax withholding + State tax withholding
= 2, 800 x ( 1 - 26. 15 %)
= $ 2, 067. 80
Five months of realized income for the emergency fund is:
= 2, 067. 80 x 5
= $ 10, 339
The amount to save per month is:
= 10, 339 / 12
= $ 861. 58
The amount left per month for discretionary expenses ;
= 2, 067. 80 - 861. 58 - 620. 24 rent
= $ 585. 88
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