Factor the following problem: 81x^4 - 49x^4 =
Answers
Answer:
a2 - b2 = (a - b) where a =9x and b = 7
(9x + 7) (9x - 7 )
Step-by-step explanation:
Related Questions
The stem-and-leaf plots list the ages of the people in Lee’s study group and in Paul’s study group.
Which statement is NOT correct?
a. Paul’s group has a wider range of ages.
b. The data for Paul’s group has two modes.
c. The median age in both groups is 44 years.
d. The mean age in both groups is between 41 and 42 years.
Answers
The false statement from the stem-and-leaf plot is given as follows:
b. The data for Paul’s group has two modes.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
The mode of a data-set is the data-set that appears the most times in a data-set.
Hence, for Paul's group, the mode is given as follows:
44.
As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.
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please help me solve
24x-20y=-48
Answers
….
….
Use the change of base rule to find the logarithm to four decimal places
Answers
Answer:
b. -16.7410
Explanation:
The change of base rule says that:
\(\log _ab=\frac{\log _{}a}{\log \text{ b}}\)Where log is logarithm in base 10. So, we can rewrite the initial expression as:
\(\log _90.877=\frac{\log 9}{\log \text{ 0.877}}\)So, using the calculator, we get:
\(\log _90.877=\frac{0.9542}{-0.057}=-16.7410\)Therefore, the answer is b. -16.7410
What is the percent change from 310 to 155?
Answers
Answer: 50% decrease
Step-by-step explanation:
50% of 310 = 155
310-155=155
50% decrease :)
ANSWER: 50% decrease
SOLUTION:
50% of 310 = 155
310-155=155
So in all the answer is.......
50% decrease :)))))
-XOXOXO:)
)
A rectangular prism is filled with cubes as shown below. Which expression
represents the volume of the prism in cubic inches?
4 x 2 x 5
4+2 +5
5 in.
2 in.
(4+2) x 5
4 in.
= 1 cubic inch
4x (2+5)
Answers
The heart rates in beats per minute for runners who walk briskly on a treadmill for 6 minutes follow a Normal distribution with a mean of 104 and standard deviation of 12.5. What percent of the runners have heart rates above 140?
Answers
Answer:
0.2%
Step-by-step explanation:
We apply the z score formula.
This is given as:
Z score = x - μ/σ
x = Raw score = 140
μ = Population mean = 104
σ = Standard deviation = 12.5
z = 140 - 104/12.5
z = 2.88
Probability value from Z-Table:
P(x<140) = 0.99801
P(x>140) = 1 - P(x<140)
= 1 - 0.99801
= 0.0019884
Approximately = 0.0020
Converting to percent = 0.2%
Therefore, percent of the runners have heart rates above 140 is 0.2%
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
Answers
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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Solve this inequality 15n<8n-21
Answers
The solution of the inequality 15n>8n-21 is given by, n<-3.
Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.
Given that the inequality is 15n<8n-21
Solving the inequality we have,
15n<8n-21
15n-8n<8n-21-8n, subtracting from both sides
7n<-21
n<-3, dividing 7 from both sides
So the solution of the given inequality is, n<-3.
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Solve the equation 6m + 10n = 12 for m.
-IO
Answers
Answer:
N=7.2
Step-by-step explanation:
6x-10= -60
10x7.2= 72
72+-60=12
So N=7.2
If a = 11 ft, b = 5 ft, and c = 7 ft, what is the surface area of the geometric shape formed by this net?
Answers
In a case where a = 11 ft, b = 5 ft, and c = 7 ft, the surface area of the geometric shape formed by this net is B. 145 sq. ft.
How can the surface area of the geometric shape be calculated?The concept that will be used here is area of triangle, we will we need need to know the area of the first 2 triangles
The area of the triangle can be expressed as :
A =( 1/2 bh)
A = (1/2 ba)
Then substitute the values we have,
a = [1/2 (11 ft.) (5 ft)]
a = 27.5 sq ft.
Then we can find the value of the area as :
A = [1/2 c*b]
If we substitue the values we,
a = [1/2 (5 ft) (7 ft)]
= 17.5 sq. ft
Then we can proceed to calculate the area of the rectangle which can be done using the formula:
A = (lw) where a = (11 ft.)(5 ft.) = 55 sq. ft
We can now find the summation of all the a's as :
[2(27.5) + 2(17.5 ) + 55 ]
= 145 sq. ft.
Therefore, option B is correct.
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missing options:
A. 167 sq. ft.
B. 145 sq. ft.
C. 117.5 sq. ft.
D. 147 sq. ft.
please help need asap
Answers
From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.
What is the remainder of the division of the given polynomial?The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.
The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).
Given the following division, f(x)/ x + 2
We can rewrite the binomial in this form:
x + 2 = x - (-2)
The division then becomes:
f(x)/ x - (-2)
From the remainder theorem, the remainder will be -2.
Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2
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Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answers
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
What type of number is v5?
Choose all answers that apply:
1. Whole number
2. Integer
3. Rational
4. Irrational
PLEASE HELP ME ILL GIVE 10 POINTS
Answers
You score a 65% on your AP Statistics Exam and a 78% on your Economics Exam. The AP Statistics scores were normally distributed with an average of 60% and a standard deviation of 6%. The Economics scores were also normally distributed with an average of 75% and standard deviation of 2.5%. In which class did you perform better relative to the class average? Be sure to justify your answer.
Answers
Answer:
His economics grade had a higher z-score, so you performed better relative to the class average in economics.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In which class did you perform better relative to the class average?
In whichever class you had the higher z-score.
Statistics:
Scored 65, mean 60, standard deviation 6. So \(X = 65, \mu = 60, \sigma = 6\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{65 - 60}{6}\)
\(Z = 0.83\)
Economics:
Scored 78, Mean 75, Standard deviation 2.5. So \(X = 78, \mu = 75, \sigma = 2.5\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{78 - 75}{2.5}\)
\(Z = 1.2\)
His economics grade had a higher z-score, so you performed better relative to the class average in economics.
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
In 2022, a random sample of UGA students found that they slept an average of 7.43 hours per night. The margin of error for a 90% confidence interval was reported as 1.32 hours.
(a) What is the lower limit of this 90% confidence interval?
lower limit = (2 decimal places)
(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, approximately how many of these confidence intervals would contain the population mean?
(whole number)
Answers
Step-by-step explanation:
(a) The lower limit of the 90% confidence interval can be calculated using the formula:
lower limit = sample mean - margin of error
Plugging in the given values, we have:
lower limit = 7.43 - 1.32
lower limit = 6.11 (rounded to 2 decimal places)
Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.
(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.
Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:
500 * 0.9 = 450
So, approximately 450 of these confidence intervals would contain the population mean.
Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
Answers
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
Elana spent $25 for two shirts that each cost the same amount of money. The shirts were marked $4.00 off the original price. The equation 2(p−4)=25 can be solved to find p, the original price of the shirts. What was the original price?
Answers
Evaluate 51x3 - 21 + 7 when x = -2.
DONE
Answers
Answer:
-320 i guess
Step-by-step explanation:
51*-2*3-21+7=-320
FREE BRAINLIEST!!!
Correct answer gets Brainliest!
Click on the graph below to create a pentagon with vertices at the following points.(5, 5), (-3, 4), (-4.5, -4), (1, -5), (9, 0)
Answers
Answer: 5.6v
Step-by-step explanation:
Answer:
i dont have the picture so how?
Step-by-step explanation:
a hotel manager has 12 diferent promotional events,plans to run 4 weeks, how many events can she run
Answers
Answer: 3 per week.
Step-by-step explanation: 3 x 4 = 12.
A trail mix recipe calls for 3 cups of raisins for 12 packets. If Logan needs 84 packets, how many cups of raisins will he need?
Answers
Answer:
21 cups
Step-by-step explanation:
Imagine it in the ratio 3:12
To get from 12 to 84 you need to multiply by seven so to get to the number of cups you need you must also multiply 3 by 7 to get 21.
Answer:
21 cups of raisins
Step-by-step explanation:
3 cups = 12 packets
x cups = 84 packets
12/3 = 4. Hence, the ratio is 1:4
1 cup = 4 packets
So, 84/4 = 21 cups of raisins.
Thus, Logan will need 21 cups of raisins for 84 packets.
hope this helps and is right!! p.s. i really need brainliest :)
4tan(x)-7=0 for 0<=x<360
Answers
Answer:
x = 65.26 degrees or x = 245.26 degrees.
Step-by-step explanation:
To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:
4tan(x) = 7
Then, we can divide both sides by 4 to get:
tan(x) = 7/4
Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:
x = tan^-1(7/4)
Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).
However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).
To find the solution in the first quadrant, we can simply use the value we just calculated:
x = 65.26 degrees (rounded to two decimal places)
To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:
x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)
So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:
x = 65.26 degrees or x = 245.26 degrees.
Describe each pattern formed. Find the next three terms. 4,8,16,32
Answers
Answer:
The pattern is multiplying by 2.
Next three terms: 64,128,256
Step-by-step explanation:
4,8,16,32
To get from 4 to 8 we can multiply by 2.
To get from 8 to 16 we can multiply by 2.
To get from 16 to 32 we can multiply by 2.
So the pattern is multiplying by 2.
To find the next three terms:
32*2=64
64*2=128
128*2=256
8. A material in which thermal energy is transferred rapidly is an insulator
True or false
Answers
Answer:This statement is not necessarily true
Step-by-step explanation:In general, the rate at which thermal energy is transferred depends on several factors, including the temperature difference between the material and its surroundings, the type of material, and its thermal conductivity. Some materials, such as air and glass, are poor conductors of heat and are therefore considered insulators. However, other materials, such as metal, are good conductors of heat and are not considered insulators.
a machine can produce 6 yards of fabric in 2 minutes how much fabric can the machine produce in 2 hours?
Answers
Answer:
360 yards in 2 hours
Step-by-step explanation:
6 yards in 2 minutes = 3 yards in 1 minute
2 hours = 120 minutes
3*120
360 yards
8x-2y
10 xy
(if x = 4 and y=-7) what is this evaluation
Answers
Answer: 2xy • (4x - 5y)
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
((8 • (x2)) • y) - (2•5xy2)
STEP 2:
Equation at the end of step 2:
(23x2 • y) - (2•5xy2)
STEP 3:
STEP 4:
Pulling out like terms
4.1 Pull out like factors :
8x2y - 10xy2 = 2xy • (4x - 5y)
Final result :
2xy • (4x - 5y)
The gasoline tax is a ______ tax
Answers
Answer:
Excise tax
Step-by-step explanation:
Correct me if I'm wrong <3
If o=12, find the sample size to estimate the mean with an error of +4 and 95 percent confidence (rounded to the next higher integer).
Multiple Choice
75
35
58
113
URGENT
Answers
We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.
To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:
n = [(z*sigma)/E]^2
Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)
We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:
n = [(1.96*12)/4]^2
n = 169.64
Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.
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What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2
