Answer:
the answer is 9! ÷ (4! * 2! * 2!)
Step-by-step explanation:
The different words that can be formed with the letters AAAABBCCD will be 3780.
What is permutation?
The permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.
We have,
AAAABBCCD
i.e.
Total number of letters = 9
Letter A repeated = 4 times
Letter B repeated = 2 times
Letter C repeated = 2 times
Now,
Using the permutation formula,
Permutation (ⁿPr) = n! / r!
So,
Number of ways = 9! / [ 4! × 2! × 2!] = [9 × 8 × 7 × 6 × 5 × 4!] / [ 4! × 2! × 2!] = 3780
Hence we can say that the different words that can be formed with the letters AAAABBCCD will be 3780.
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Algebra 1 help. I got A
Answer: A
Step-by-step explanation:
(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.
4x+1-(x²-5) [distribute -1]
4x+1-x²+5 [combine like terms]
4x-x²+6 [rewrite in the order of exponents]
-x²+4x+6
Convert 3 over 7 into a percent.
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 3/7 as a percent, we need to find a fraction
equivalent to 3/7 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (3)(100) which is 300 is equal to (7)(n) or 7n.
So we have the equation 300 = 7n.
Next, dividing both sides of the equation by 7, we have 42.8571 = n.
So 3/7 is equal to 42.8571/100 or 42.8571%.
Please answer this correctly
Answer:
3/5
Step-by-step explanation:
Out of the 5 cards, 3 of them are greater than 3 or less than 2 (1, 4, 5) so the answer is 3/5.
Answer:
3/5
Step-by-step explanation:
Total number of cards: 5
Cards greater than 3: 4, 5
Cards less than 2: 1
Total of (greater than 3 or less than 1): 3 cards
p(greater than 3 or less than 1) = 3/5
write the number name for 6782163 in international system
Answer:
Six Million Seven Hundred Eighty Two Thousand one hundred sixty three
Step-by-step explanation:
Hope it helps...Pls Mark as Brainliest!!
Answer:
Six Million Seven Hundred Eighty Two Thousand One Hundred and Sixty Three.
Step-by-step explanation:
6, 782, 163
What is the solution to the equation? StartFraction r Over 7.1 EndFraction = 4.2 r =
Answer:
r= 29.82
Step-by-step explanation:
r/7.1=4.2
r= 4.2*7.1
r= 29.82
Answer:
29.82 i did the unit test
Step-by-step explanation:
Transformation of exponential functions need help ASAP
Answer:
These are vertical transformations because the parent function is being translated up and down which are vertical directions.
Evaluate the following:
Answer:
csc∅ = 25/7
sec∅ = 25/24
cot∅ = 24/7
Step-by-step explanation:
Cosecant (csc) is 1/sin∅ or hypotenuse over opposite
Secant (sec) is 1/cos∅ or hypotenuse over adjacent
Cotangent (cot) is 1/tan∅ or adjacent over opposite
Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation y'' + 9y = sin(3x) is:_______
a. yp = Acos(3x) + Bsin(3x)
b. yp = Axcos(3x) + (3x)
c. yp = Asin(3x)
d. yp = Acos(3x)
e. yp = Axcos(3x) + Bxsin(3x)
Answer:
E
Step-by-step explanation:
y’’ + 9y = sin(3x)
The characteristics equation is;
m^2 + 9 = 0
solving this we have 2 complex roots
m= -3i, 3i
Thus;
yh = Ccos(3x)+ Dsin(3x)
let yp = Axcos(3x) + Bxsin(3x)
Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer
What is the ratio for the volumes of two similar spheres, given that the ratio of
their radii is 5:9?
A. 125:729
B. 25:81
C. 729:125
D. 81:25
Answer:
Option A
Explanation:
the ratio of radii to volume is ^3 "to the third power"
so 5^3 : 9^3 would be the ratio for volumes
125:729
Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received of the votes, Gilda received 15% of the votes, and Conroy received of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive?
Answer: A) 45%
Step-by-step explanation:
The question is incomplete. The complete question is
Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%
Solution:
The total percentage of the votes that is spread among the 4 contestants is 100%
Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is
1/5 × 100 = 20%
Gilda received 10% of the votes.
Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is
1/4 × 100 = 25%
Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is
100 - (20 + 10 + 25) = 45%
Answer:
40%
Step-by-step explanation:
Jane and Bill are cleaning up a park. If she had to clean up the park herself, it would take Jane six hours to complete the job. If Bill alone were to clean the park, it would take him three hours. Working together, how long will it take Jane and Bill to clean the park?
Answer:
4.5 hours
Step-by-step explanation:
If you take both of their alone time
6 and 3
Add them together
Divide both of them By 2
Giving you your answer
It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time that would take both Jane and Bill to clean the park, hence:
[(1/6) + (1/3)]t = 1
t = 2 hours
It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.
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What is the approximate positive value of the x-coordinate of the point of intersection of p(x)=5x^2-3 and q(x)=2x+1
Hey there! :)
Answer:
x = 1.117
Step-by-step explanation:
Graph the two equations:
p(x) = 5x² - 3
q(x) = 2x + 1
On the graph below, the positive point of intersection is at (1.117, 3.233).
Positive x-value = 1.117.
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes with a standard deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
Refer to Exhibit 9-4. At 95% confidence, it can be concluded that the mean of the population is
Select one:
a.
significantly greater than 3
b.
not significantly greater than 3
c.
significantly less than 3
d.
significantly greater then 3.18
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 3
For the alternative hypothesis,
H1: µ > 3
This is a right tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 3.1
µ = population mean = 3
s = samples standard deviation = 0.5
n = number of samples = 100
t = (3.1 - 3)/(0.5/√100) = 2
We would determine the p value using the t test calculator. It becomes
p = 0.024
Alpha = 1 - confidence level = 1 - 0.95 = 0.05
Since alpha, 0.05 > than the p value, 0.024, then we would reject the null hypothesis. Therefore, at 95% confidence level, it can be concluded that the mean of the population is significantly greater than 3.
BRAINLIEST ANSWER WINS! A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 1000 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 953 km to 466 km.
Answer:
D. x²/1953² + y²/ 1466² = 1
Step-by-step explanation:
==>Given:
Radius of spherical moon = 1000km
Distance of satellite from moon surface = 953km to 466km
==>Required:
Derived equation of ellipse
==>Solution:
The formula for driving an equation of ellipse is given as:
x²/a² + y²/b² = 1
Where,
a = length of the semi-major axis, while,
b = length of the semi-major axis
Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:
a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km
b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km
Thus, the equation of the ellipse would be:
x²/1953² + y²/ 1466² = 1
Find the x- and y-intercepts of −4x+y=4. (Enter each intercept in the form (a,b).)
Answer:
(-1, 4)
Step-by-step explanation:
IM SOO CONFUSEDD help???
Answer:
D.
Step-by-step explanation:
To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.
h(x) = sqrt(2x^2 + 5x - 3)
= sqrt(0^2 + 5 * 0 - 3)
= sqrt(-3)
Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.
If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.
Your answer will be D.
Hope this helps!!
Of the 35 jewelers in her town, Naomi polled the 5 biggest to learn about the latest jewelry trends. Her sample is . The sample is of the jewelers in Naomi’s town.
Answer:
Step-by-step explanation:
Her sample is of a portion/part of the population of jewelers in her town
Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.
Answer: It is Bias and not representative
Step-by-step explanation:
In the diagram circle o, what is the measure of angle abc
Answer:
34°
Step-by-step explanation:
Because AB and CB are tangents, the measure of angle B is the supplement of the measure of arc AC:
180° -146° = 34°
Please answer this correctly
Answer:
50%
Step-by-step explanation:
There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.
Answer:
50%
Step-by-step explanation:
1 value> 5 and 2 values<3, out of total of 6
P (greater than 5 or less than 3) = 3/6= 50%
simplify 2(4+8)÷2(8+8)
192.
2(8+4)÷2(8+8) = 1(4+8)×(8+8)
1×12×16=192.
Answer:
192Step-by-step explanation:
[tex]2(4 + 8) \div 2(8 + 8)[/tex]
Any expression divided by itself equals 1
[tex]1(4 +8) \times (8 + 8)[/tex]
Add numbers
[tex]1 \times 12 \times 16[/tex]
Any expression multiplied by 1 remains the same
[tex]12 \times 16[/tex]
Multiply the numbers
[tex]192[/tex]
Hope this helps...
Good luck on your assignment..
Find the missing side of the triangle.
11 yd
10 yd
Answer:
Step-by-step explanation:
a^2+b^2=c^2
assuming that 11 and 10 are the shorter sides of the triangle
11^2+10^2=c^2
121+100=c^2
221=c^2
[tex]\sqrt{221}=\sqrt{c^2}[/tex]
this will equal 14.87 approximately
The missing side of the triangle is √221 yd .
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
11² + 10² = c²
c² = 121 + 100
c² = 221
c = √221 yd
Therefore, the correct answer is √221 yd .
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which three lengths could be the lengths of the sides of a triangle?
21 cm, 7 cm, 6 cm
12 cm 5 cm 17 cm
9 cm 22 cm, 11 cm
10cm 25cm, 24cm.
Answer:
None of the sides can be a triangle.
Step-by-step explanation:
if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is _.
Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.
Step-by-step explanation:
We know that when a complex number [tex]z=a+ib[/tex] is a root of a polynomial with degree 'n' , then the conjugate of the complex number ([tex]\overline{z}=a-ib[/tex]) is also a root of the same polynomial.Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients
Here, 7+5i is a complex number.
So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.
Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.
If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i
The standard form of writing complex numbers with real and imaginary values is expressed as:
z = x + iy
The conjugate of the complex number will be y = x - iy
A complex number and its conjugate both have the same degree with coefficient.Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i
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of the digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not defective? The probability is nothing.
Full question:
Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
Answer:
16/25
Step-by-step explanation:
Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).
Non defective dvrs=total number of dvrs-defective dvrs=50-18=32
So probability here=non defective dvrs/total number of dvrs
=32/50=16/25
Does this table represent a function? Why or why not?
х
y
0
4
7
8
5
5
8
8
10
9
A. No, because two of the y-values are the same.
B. Yes, because there are two x-values that are the same,
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.
Answer:
no because one x value corresponds to two different y values
Which of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers that apply: (Choice A) A The distribution has a peak from 9999 to 10 m10 \text{ m}10 m10, start text, space, m, end text. (Choice B) B The distribution has a gap from 6666 to 9999 m\text{m}mstart text, m, end text. (Choice C) C None of the above
Answer:
None of the above
Step-by-step explanation:
Answer:
None of the Above
Step-by-step explanation:
I got it right on Khan Academy :) Have a Great Day!
There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? Yes or No
Answer:
I don't think so
Step-by-step explanation:
There are some numbers called the Taxi cabs they satisfy this relation : x³+y³=z³+a³ like the famous Ramanujin number 17291729 = 1³+12³=9³+10³ there are four numbers (1,12,9,10) i don't think so that there are 3 numbersdivide the equation 525.4 ÷ 0.035
Answer:
the correct answer is 15011.428571
Step-by-step explanation:
=525.4 ÷ 0.035
=15011.428571
hope this works out!!!!
The division of decimal values 525.4 ÷ 0.035 = 15011.428571........
How do divide decimals?To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.
Then we follow the steps of normal numeric divisions.
How to solve the question?In the question, we are asked to divide the equation 525.4 ÷ 0.035.
We can write this as 525.4/0.035.
Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.
Thus, we multiply the numerator and denominator by 10³ = 1000.
Therefore, 525.4/0.035
= (525.4*1000)/(0.035*1000)
= 525400/35
= 15011 3/7
= 15011.428571........
Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........
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What is the best estimate for the value of the expression?
34
8
16
3
14
9.
-3
-21
O7
Answer: 8 is the anwser
Step-by-step explanation:
18 points please help pic inserted
Answer:
1). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]
2). log(x - 1) + log5x = 2
3). ln(x + 5) = ln(x - 1) + ln(x + 1)
4). [tex]e^{x^2}=e^{4x+5}[/tex]
Step-by-step explanation:
1). ln(x + 5) = ln(x - 1) + ln(x + 1)
ln(x + 5) = ln(x - 1)(x + 1) [Since ln(a×b) = ln a + lnb]
(x + 5) = (x- 1)(x + 1)
x + 5 = x² - 1
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3 ) = 0
x = -2, 3
But x = -2 is an extraneous solution.
Therefore, x = 3 is the only solution.
2). [tex]e^{x^2}=e^{4x+5}[/tex]
x² = 4x +5
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1, 5
Therefore, solution set is (-1, 5)
3). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]
5x² + 2 = (x + 8)
5x² - x - 6 = 0
5x² - 6x + 5x - 6 = 0
x(5x - 6) + 1(5x - 6) = 0
(x + 1)(5x - 6) = 0
x = -1, [tex]\frac{6}{5}[/tex]
4). log(x - 1) + log5x = 2
log(x - 1)(5x) = 2
5x(x - 1) = 10² [if loga = b, [tex]a=10^{b}[/tex]]
5x² - 5x - 100 = 0
x² - x - 20 = 0
x² - 5x + 4x - 20 = 0
x(x - 5) + 4(x - 5) =0
(x - 5)(x + 4) = 0
x = -4, 5
But x = -4 is an extraneous solution.
Therefore, x = 5 is the only solution.