Answers
Answer:
D. [tex]3x\sqrt{2x}[/tex]
Step-by-step explanation:
The problem gives on the following equation:
[tex]\sqrt{32x^3}+-\sqrt{16x^3}+4\sqrt{x^3}-2\sqrt{x^3}[/tex]
Alongside the information that ([tex]x\geq0[/tex]).
One must bear in mind that the operation ([tex]\sqrt[/tex]) indicates that one has to find the number that when multiplied by itself will yield the number underneath the radical. The easiest way to find such a number is to factor the term underneath the radical. Rewrite the terms under the radical as the product of prime numbers,
[tex]\sqrt{2*2*2*2*2*x*x*x}-\sqrt{2*2*2*2*x*x*x}+4\sqrt{x*x*x}-\sqrt{2*x*x*x}[/tex]
Now remove the duplicate factors from underneath the radical,
[tex]2*2*x\sqrt{2x}-2*2*x\sqrt{x}+4x\sqrt{x}-2x\sqrt{x}[/tex]
Simplify,
[tex]4x\sqrt{2x}-4x\sqrt{x}+4x\sqrt{x}-x\sqrt{2x}[/tex]
[tex]3x\sqrt{2x}[/tex]
Related Questions
Solve for x.
A. 2
B. 5
C. 0
D. 7
Answers
Answer:
We know that the angle which lineer and divided by |AB| equal to 130°
Step-by-step explanation:
if 130° look at the 2x+260 we can say that 2x+260=260° so X equal to Zero (0)
Last question guys! Help help help
Answers
9514 1404 393
Answer:
slope 125, annual dues paymentStep-by-step explanation:
The two given points can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (650 -400)/(4 -2) = 250/2 = 125
The vertical axis is cost, and the horizontal axis is years, so the slope is the ratio of these: cost per year.
The slope of $125 per year is the yearly membership dues cost.
A company specializing in parachute assembly claims that its main parachute failure rate is at most 1%. You perform a hypothesis test to determine whether the company's claim is true or false. Your sample data resulted in enough evidence to go against the claim made by the company. It was later determined that the claim made by the company was actually incorrect. What kind of error, if any, was committed
Answers
Answer:
There was enough evidence to reject the null hypothesis, and in fact, the null hypothesis is false, which means that no error was committed.
Step-by-step explanation:
A company specializing in parachute assembly claims that its main parachute failure rate is at most 1%.
At the null hypothesis, we test if the proportion is of at most 1%, that is:
[tex]H_0: p \leq 0.01[/tex]
At the alternative hypothesis, we test if the proportion is of more than 1%, that is:
[tex]H_0: p > 0.01[/tex]
Type I and type II errors:
Type I: Rejection of a true null hypothesis. The null hypothesis is true, but from a sample, you get enough evidence to reject.
Type II: Non-rejection of a false null hypothesis. The null hypothesis is false, but from a sample, you do not get enough evidence to reject.
Your sample data resulted in enough evidence to go against the claim made by the company.
This means that there was enough evidence to reject the null hypothesis.
It was later determined that the claim made by the company was actually incorrect.
The null hypothesis was false.
What kind of error, if any, was committed?
There was enough evidence to reject the null hypothesis, and in fact, the null hypothesis is false, which means that no error was committed.
What's an equivalent fraction of 3/4 that has a denominator of 32
Answers
Answer:
24/32
Step-by-step explanation:
[tex]\frac{3}{4} = \frac{x}{32}[/tex]
To get from 4 to 32, you multiply by 8
so to get from 3 to x, multiply by 8
The answer for this would be 24/32
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1100 bacteria selected from this population reached the size of 1177 bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answers
Answer:
Rate = 10^(log[Ending Amount / Beginning Amount] ÷ time) -1
Rate = 10^(log(1177 / 1100) ÷ time) -1
Rate = 10^(log( 1.07) ÷ 3) -1
Rate = 10^(0.029383777685 /3) -1
Rate = 10^(0.0097945926) -1
Rate = 1.0228091219 -1
Rate = .0228091219% / hour
Source http://www.1728.org/expgrwth.htm
Step-by-step explanation:
Suppose that a defendant in a first-degree murder trial has 52% chance of being convicted of murder, a 26% chance of being convicted of a lesser charge, and a 22% chance of being found not-guilty. Find the percent chance that the defendant is convicted on any charge.
Answers
Answer:
78%
Step-by-step explanation:
This question is pretty straight forward. Here we are to find the percentage probability of the of the defendants being convicted on any charge.
From the information available to us there's a 52% chance of being convicted of murder and also there's another 26% chance of conviction of something smaller. From this data available, the percentage chance that there will be a conviction is
52% + 26%
= 78%
Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.
Calculate the lower boundary of a 99% confidence interval.
Give your answer as a decimal rounded to 3 places after the decimal.
Answers
Answer:
0.3902
Step-by-step explanation:
The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;
Sample size, n = 27
Number of students with faster reaction time = 14
Phat = x / n = 14 / 27 = 0.6296
The confidence interval is calculated thus :
C. I = Phat ± Zcritical * √[p(1 - p)/n]
Zcritical at 99% = 2.576
C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]
C.I = 0.6296 ± 0.2394042
The lower boundary of C.I = 0.6296 - 0.2394042
Lower boundary = 0.3902
6/5w-7 = blank/ 49-35w
Answers
Answer:
Resolver para x
x=8869w/5 - 343
Step-by-step explanation:
simplificando ambos lados de la ecuación, entonces aislar la variable. x
Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?
Answers
Answer:
A.
Step-by-step explanation:
Start with
7y + 5 - 3
Combine like terms:
7y + 2
By combining like terms in 7y + 5 - 3, we end up with 7y + 2 which is the second expression.
Therefore, the expressions are equivalent because they evaluate to equal values for every value of y.
Answer: A.
Karen is having a party. She'll have 4 tables for every 12 guests. Complete the table below showing the number of tables and the number of guests.
Answers
1) Respond to the following questions.
What is the relationship between exponential and logarithmic functions?
Describe a real life situation in which exponential functions are used.
Describe a real life situation in which logarithms are used.
Answers
PLEASEEEE PLEASEEEE HELPPPP
i need an equation for a vertical line going through f(x) = 2x^2 + 6x + 2
Answers
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
Banking fees have received much attention during the recent economic recession as bankslook for ways to recover from the crisis. A sample of 31 customers paid an average fee of $11.53 permonth on their checking accounts. Assume the population standard deviation is $1.50. Calculatethe margin of error for a 90% confidence interval for the mean banking fee.
Answers
Answer:
The margin of error for a 90% confidence interval for the mean banking fee is of $0.44.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Sample of 31:
This means that [tex]n = 31[/tex]
Assume the population standard deviation is $1.50.
This means that [tex]\sigma = 1.5[/tex]
Calculate the margin of error for a 90% confidence interval for the mean banking fee.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.645\frac{1.5}{\sqrt{31}}[/tex]
[tex]M = 0.44[/tex]
The margin of error for a 90% confidence interval for the mean banking fee is of $0.44.
Hey guys today you could help that would be great
Answers
Answer:
answer c
Step-by-step explanation:
(3x^3-2x^2+4x-5)+(6x-7)
3x^3-2x^2+10x-12
Need answers here! Tyy :)
Answers
Answer: The answer is 125 degree(third option)
Step-by-step explanation:
x + 55 = 180 {being co interior angles}
or, x = 180 - 55
so, x = 125
As x+55=180
x=180-55
x=125
The increased availability of light materials with high strength has revolutionized the design and manufacture of golf clubs, particularly drivers. One measure of drivers that result in much longer tee shots is known as the coefficient of restitution of the club. An experiment was performed in which 15 drivers produced by a particular club maker were selected at random and their coefficients of restitution measured. It is of interest to determine if there is evidence to support a claim that the mean coefficient of restitution exceeds 0.82. Assume values to be normally distributed. The following observations were obtained for the 15 drivers:
0.8411 0.8191 0.8182 0.8125 0.8750
0.8580 0.8532 0.8483 0.8272 0.7983
0.8042 0.8730 0.8282 0.8359 0.8660
Conduct the test using a significance level of 0.05.
Answers
Answer:
WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82
Step-by-step explanation:
This is a one sample t test :
The hypothesis :
H0 : μ = 0.82
H0 : μ > 0.82
Given the sample data:
0.8411 0.8191 0.8182 0.8125 0.8750
0.8580 0.8532 0.8483 0.8272 0.7983
0.8042 0.8730 0.8282 0.8359 0.8660
Sample size, n = 15
Sample mean = ΣX / n = 0.837
Sample standard deviation, s = 0.0246 (from calculator)
The test statistic :
T = (xbar - μ) ÷ (s/√(n))
T = (0.837 - 0.82) ÷ (0.0246/√(15))
T = 2.676
The critical value at α = 0.05
df = n - 1 ; 15 - 1 = 14
Tcritical(0.05, 14) = 1.761
Reject H0 if Test statistic > Tcritical
Since, 2.676 > 1.761 ; WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82
Corresponding sides of what triangles are proportional
Answers
Answer:
In a pair of similar triangles, the corresponding sides are proportional.
Step-by-step explanation:
Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
A gardener makes a new circular flower bed. The bed is ten feet in diameter.Calculate the circumference and the area of the circular flower bed
Answers
Answer:
It will be 31.4 cm rounded off for circumference
It will be 78.53 cm2 rounded off for area
Step-by-step explanation:
Diameter = 10 cm
Radius = 10/2 cm = 5 cm
Circumference = 2×pi×radius
= 2pi×5
= 31.4 cm
Area = pi × r square
= 25 pi
= 78.53cm2
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and a third side is 22 more than the length of the shortest side. Find the dimensions if the perimeter is 182 feet.
Answers
Answer:40, 80 and 62
Step-by-step explanation:
182-22= 160
160/4 = 40 so,
Shortest side is 40
Longest is 80
Third side is 62
Two six sided dice are rolled. What is the probability of one of those being a 4?
Answers
P(not 4)=5/6
n=2 p=1/6 q=5/6
P(X=1)=2C1*(1/6)*(5/6)*=5/18
ans:5/18
or list down all the sample space
i only list down getting a 4
{(1,4),(2,4),(3,4),(5,4),(6,4),(4,1),(4,2),(4,3),(4,5),(4,6)}
P(getting a 4)=10/36=5/18
a2 - ab + 8b + b2 - 1
Answers
Answer:
а²-ab+8b+b²-1=a(a-b)+b(8+b)-1
share the following total in its given ratio. $18 at ratio 1.2
Answers
11. What is the reciprocal of 6/5?
OA. 12/20
OB.11/5
OC.1
OD.576
Answers
Answer: The answer is D, 5/6.
Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.
Answer:
5/6
Step-by-step explanation:
The reciprocal is where you flip the fraction
6/5 -> reciprocal -> 5/6
I'm not sure about your answer choices tho, sorry
please help, will give brainliest!!
Answers
Answer:
3
Step-by-step explanation:
[tex] \frac{3x - 3}{x} \div \frac{x - 1}{x} [/tex]
[tex] \frac{3(x - 1)}{x} \times \frac{x}{x - 1} = 3[/tex]
what is the value of sum of 18 and 3 time the difference of 9 and 5 divided by 2 is subtracted from 30 ?
if u give right answer i will mark u as a brainlist
Answers
Answer:
12
Step-by-step explanation:
(18+3)=21
(9-5)=4
4x21=84
84/2=42
42-30=12
Answer:
12
Step-by-step explanation:
((18+3)x(9-5))/2-30
=((21)x(4))/2-30
=(84)/2-30
=42-30
=12
if a/b = 3 and a + b = 2, what is a - b
Answers
Answer:
1
Step-by-step explanation:
a/b=3------equation 1
a+b=2-----equation 2
from equation 2
b=2-a
substitute b=2-a in equation 1
a/2-a=3
a=3(2-a)
a=6-3a
a+3a=6
a=6/4
a=3/2
substitute a=3/2 in equation 2
3/2+b=2
3+2b=4
2b=1
b=1/2
a-b=3/2-1/2
a-b=(3-1)/2
a-b=2/2
a-b=1
Coronado reported the following information for the current year: Sales (44000 units) $880000, direct materials and direct labor $440000, other variable costs $44000, and fixed costs $360000. What is Coronado’s break-even point in units?
a) 32727.
b) 40000.
c) 60923.
d) 36000.
Answers
Determine the indicated term in the following arithmetic sequences.
1.) a subscript 5: {2, 5, 8, ...}
2.) a subscript 20: {4, 8, 12, ...}
3.) a subscript 18: {0,20,40,60, ...}
Answers
Answer:
[tex]a_5= 14[/tex]
[tex]a_{20}= 80[/tex]
[tex]a_{18}= 340[/tex]
Step-by-step explanation:
Solving (a):
We have:
[tex]a_1=2[/tex] --- first term
[tex]d = 5 -2 = 3[/tex] common difference
The 5h term is:
[tex]a_n= a_1 + (n - 1)d[/tex]
[tex]a_5= 2+ (5 - 1)*3[/tex]
[tex]a_5= 14[/tex]
Solving (b):
We have:
[tex]a_1 = 4[/tex] --- first term
[tex]d = 8 -4 = 4[/tex] common difference
The 20h term is:
[tex]a_n= a_1 + (n - 1)d[/tex]
[tex]a_{20}= 4+ (20 - 1)*4[/tex]
[tex]a_{20}= 80[/tex]
Solving (c):
We have:
[tex]a_1 = 0[/tex] --- first term
[tex]d = 20 -0 = 20[/tex] common difference
The 18th term is:
[tex]a_n= a_1 + (n - 1)d[/tex]
[tex]a_{18}= 0+ (18 - 1)*20[/tex]
[tex]a_{18}= 340[/tex]
Find the area enclosed in the graph of
x² + y² 16x + 32y.
Answers
Answer:
3
256
sq.units
Step-by-step explanation:
Both parabolas cut each other at (0,0) and (16,16)
Area enclosed by these parabolas
=∫
0
16
4
x
dx−∫
0
16
16
x
2
dx
=[
3
2×4×x
3/2
]
0
16
−[
16×3
x
3
]
0
16
=
3
2×4
4
−
3
4
4
=
3
256
sq. units
I need Help with Functions
Answers
Answer:
[tex] g(4) = \frac{5}{11} [/tex]
Step-by-step explanation:
Given:
[tex] g(x) = \frac{x^2 - 6}{3x + 10}
Required:
g(4)
Solution:
Substitute x = 4 into [tex] g(x) = \frac{x^2 - 6}{3x + 10} [/tex]
Thus:
[tex] g(4) = \frac{4^2 - 6}{3(4) + 10} [/tex]
[tex] g(4) = \frac{16 - 6}{12 + 10} [/tex]
[tex] g(4) = \frac{10}{22} [/tex]
[tex] g(4) = \frac{5}{11} [/tex]
