Answer: The answer is 50980
Step by Step Explanation:
First, temporarily assume that two letters with I are different, call them i 1 and i 2. Three "a" are also called as a 1, a 2 and a 3, and two h as h 1 and h 2. Then there are 11 * 10 * 9 * 8 * 7 = 55440 possible "words" (one of 11 is the first letter, 10 is the second, and so on). But because equal letters do the same "words," some "words" were counted twice or more. We have to deduct the number of "parasitic" counts although it is fairly small. The words that counted more than once are divided into many disjoint sets: 1) with two I but without repetitions of a and h; 2) with two h but without repetitions of a and I 3) with two a but without repetitions of I and h; 4) with three a but without repetitions of I and h; 5) with two I and two a's; 6) two i's and tree a's; 7) two i's and two h's 8) two h's and two a's; 9) two h's and one tree. The first category includes terms counted twice and its scale is (5 * 4) * (6 * 5 * 4) = 2400 (the first I stays at one of the 5 positions, the second at one of the 4, then 11-2i-1h-2a=6). So we have 2400/2 = 1200 to subtract. Group 2 gives -600 as well, and group 3 also. Group 4 gives * (6 * 5) = 1800 (5 * 4 * 3), and the terms are counted 6 times, -300. Groups 5, 7 , 8: 5 * 4 * 3 * 2 * 6 = 720 and counted four times, therefore -180. Group 6 and 9: 5 * 4 * 3 * 2 * 1 = 120, with 12 counts, -10. Altogether -(1200 * 3 + 300 + 180 * 3 + 10 * 2) = -4460.The answer will be 55440-4460 = 50980.
The number of permutations which are possible with the five letters of HAWAIIAN is 1488.
What is permutations?It is the number of times a word can be arranged in a defined order. to calculate the number of permutations we often use nPr formula which states n!/(n-r)!
How to calculate the permutations?We are total 12 letters in the word hawaiian and letters in the alphabet for which permutations need to be calculated are 5. So the number of permutations are:
12P1+12P3+12P2+12P1+12P1
=12!/11!+12!/9!+12!/10!+12!/11!+12!/11!
=3*12*11!/11!+12*11*10*9!/9!+12*11*10!/10!
=36+1320+132
=1488
Hence the number of permutations in the word hawaiian for the 5 letters is 1488.
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Please answer this equation ❤️
Just take the function, and wherever it says 'x', substitute '-3' .
Then it'll say f(-3) = -2(-3)² - 7(-3) + 6 . Surely you can solve that.
As my old Electronic Circuits professor used to tell us, back around 1962:
"If
f(x) = -2x² - 7x + 6
then
f(cow) = -2cow² - 7cow + 6 ."
Of all the things I learned from him, this is the thing I remember most.
Answer:
f(-3)=9Solution,
[tex]f(x) = - 2 {x}^{2} - 7x + 6 \\ f( - 3) = - 2 \times {( - 3)}^{2} - 7 \times ( - 3) + 6 \\ \: \: \: \: \: = - 2 \times 9 - ( - 21) + 6 \\ \: \: \: = - 18 + 21 + 6 \\ \: \: \: = 3 + 6 \\ \: \: \: \: \: = 9[/tex]
hope this helps...
Good luck on your assignment..
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the
traffic jam stretches for 5.5 miles.
If Connor assumes each car is about 12.5 feet long, which calculation is most
reasonable for Connor to use to find about how many cars are stuck in the traffic jam?
Answer:
Cornor should divide the total length of the road on which there is traffic by the length of each of the cars
Step-by-step explanation:
The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars
Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars
Mathematically 1 mile = 5280 feet
so 5.5 miles will be = 5280 * 5.5 = 29,040 feet
It is this length we shall now divide by 12.5 ft
And that is 29,040/12.5 = 2,323.2
Which is approximately 2,323 cars
130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow apples. How many red apples were at the party
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
Can I get help with this problem
Answer:
AC = 90, AB = 90, CAB = 180
Find EF, Im having trouble with this
Answer:
EF = 6
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(4+2x) * 4 = (5+x) * 5
Distribute
16+8x = 25+5x
Subtract 5x
16+3x = 25
Subtract 16
3x = 25-16
3x = 9
Divide by 3
x = 9/3
x=3
We want EF
EF = 2x = 2*3 = 6
The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.
Answer:
X = 2
Step-by-step explanation:
Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.
Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]
By substituting the measures of the sides in the expression,
[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, for the given similar triangles value of x = 2
Find the solutions to x^2=27 A x= +/- 9 √3 B x= +/- 3 √9 C x= +/- 3 √3 D x= +/- 9 √2 FIRST TO ANSWER CORRECTLY GETS BRAINLIEST :-)
Answer:
The answer is C.
Step-by-step explanation:
You have to square both sides :
[tex] {x}^{2} = 27[/tex]
[tex]x = ± \sqrt{27} [/tex]
Then, you have to simplify it :
[tex]x = ± \sqrt{9 \times 3} [/tex]
[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]
[tex]x = ±( 3 \times \sqrt{3} )[/tex]
[tex]x = ±3 \sqrt{3} [/tex]
Answer:
Option C) x = ±[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]x^2 = 27[/tex]
Taking sqrt on both sides
=> x = ±[tex]\sqrt{27}[/tex]
=> x = ±[tex]\sqrt{3 * 3*3}[/tex]
=> x = ±[tex]3\sqrt{3}[/tex]
Simple question
Just don’t know how to put it in
please :))
Answer:
A. 102
B. 78
Step-by-step explanation:
mEG = 360 - 258 = 102°
m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°
obi's age is twice oba's age 4 years ago obi was three times as old as oba. find their ages
Answer:
Obi's age is 18 and Oba's age is 9
Step-by-step explanation:
Let Obi's age be x and Oba's age be y
Condition 1:
x = 2y -----------(1)
Condition 2:
(x-4) = 3(y-4)
=> x -4 = 3y-12
=> x - 3y = -9 -----(2)
Putting eq (1) in (2)
2y - 3y = -9
=> -y = -9
=> y = 9
Now,
x = 2y
=> x = 2(9)
=> x= 18
Answer:
[tex]8\\4[/tex]
Step-by-step explanation:
Obi's age is [tex]x[/tex].
Oba's age is [tex]2x[/tex].
4 years ago, Obi's age was [tex]x-4[/tex].
4 years after, Obi's age is [tex]2x-4[/tex]
3 times more than Oba's, so [tex]3(x-4)[/tex]
[tex]2x - 4 = 3( x - 4)[/tex]
[tex]2x - 4 = 3x-12[/tex]
[tex]2x - 3x = -12+4[/tex]
[tex]-1x=-8[/tex]
[tex]x=8[/tex]
[tex]x-4\\(8)-4=4[/tex]
Which linear function has the steepest slope? 15 POINTS
Answer:
Actually the correct answer is the last option.
Step-by-step explanation:
I just took the quiz on edge
The function given in the option (4) has the steepest slope.
For option (1)
Let's calculate the slope for given values of x and y in option (1)
First, let's consider the points (3,10) and (6,13):
[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]
[tex]x_2-x_1=6-3=3[/tex]
and [tex]y_2-y_1= 13-10 =3[/tex]
Now, the formula for slope is:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
So, for these points,
[tex]m=\dfrac{3}{3}[/tex]
[tex]m=1[/tex]
Next, for points (6,13) and (9,16):
[tex]x_2-x_1=9-6=3[/tex]
and [tex]y_2-y_1=16-13 =3[/tex]
then, slope is:
[tex]m=\dfrac{3}{3}[/tex]
[tex]m=1[/tex]
Similarly, for points (9,16) and (12,19):
Slope is 1.
Hence, for the data given in option (1), slope is 1.
Now for option(2);
From the given graph, we can see the co-ordinates are (1,0) and (0,-2)
[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]
[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]
Thus, the slope is:
[tex]m = \dfrac{-2}{-1}[/tex]
[tex]m=2[/tex]
Now for option (3):
From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)
[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]
[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]
Thus, the slope is
[tex]m = \dfrac{1}{0.5}[/tex]
[tex]m =2[/tex]
Now, for option (4):
First, let's consider the points (2, -4) and (4, -12)
[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]
[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]
slope is:
[tex]m = \dfrac{-8}{2}[/tex]
m =-4
Now, for points (4, -12) and (6, -20):
[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]
Then, the slope is:
[tex]m= \dfrac{-8}{2}[/tex]
m = -4
Similarly, for points (6, -20) and (8, -28):
Slope is -4.
That means for the data given in option (4) slope is -4.
Hence, the slope for the option (4) is steepest.
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Ryan is making pancakes for the Drama Club's pancake breakfast. The table below shows the amounts of pancake mix and milk needed to make enough pancakes to feed different numbers of guests. If there are 63 guests at the breakfast, how much pancake mix and milk are needed? Show your work. (BRAINLIEST FOR FIRST ANSWER)
The amount of mix would be 16 and the amount of milk would be 8 work is in the picture
I really need help!! I don't get this could someone help me?
Answer:
Side a is 35/5=7 inches long
Side b is 30/5=6 inches long
Side c is 15/5=3 inches long
Type the expression that results from the following series of steps: Start with t, add 6, multiply by 2, then subtract 5.
Answer:
2(t + 6) - 5
Step-by-step explanation:
If we are strictly following the directions, we first add t and 6 together:
t + 6
Then we multiply by 2 AFTER we add the 2 together:
(t + 6)2
At last, we subtract 5 from everything after:
2(t + 6) - 5
And we have our answer!
Answer:
2(t+6)-5
Step-by-step explanation:
The unknown number is t
=> Adding 6 will make it t+6
=> Multiplying by 2 will make it 2(t+6)
=> Subtracting 5 will make it 2(t+6)-5
Which rate can you set StartFraction 30 miles Over 1 hour EndFraction equal to in order to find the time it takes to travel 900 miles at 30 miles per hour?
Answer:
[tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]
Step-by-step explanation:
Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:
[tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]
This can be rearranged to ...
[tex]\dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30[/tex]
Then, multiplying by 1 h gives the solution ...
t = 30 h
It takes 30 hours to travel 900 miles at 30 miles per hour.
the answer is:
d. 900/? hours
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate
Answer:
He needs 0.275 cups of orange juice to reach his estimates
Step-by-step explanation:
Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.
4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.
Adding them together we will know the amount he got. Therefore,
4/17 + 3/10 + 9/20 + 3/11 + 7/15
(40 + 51)/170 + 9/20 + 3/11 + 7/15
91/170 + 9/20 + (45 + 77)/165
(1820 + 1530)/3400 + 122/165
3350/3400 + 122/165
0.98529411764 + 0.73939393939
1.72468805703
Patel got approximately 1.725 cups of orange juice . He will require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.
1/2 cup of orange juice
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1/5. What are the dimensions of the model bed she built?
A,) 0.8 ft × 0.1 ft
B.) 0.4 ft × 0.5 ft
C.) 0.8 ft × 1 ft
D.) 0.04 ft × 0.05 ft
Answer: C. 0.8 ft x 1 ft
Step-by-step explanation:
The scale factor of 1/5 means you multiply
the dimensions by 1/5
4 * 1/5 = 0.8
5 * 1/5 = 1
Answer:
C. 0.8 ft x 1 ft
Step-by-step explanation:
In ABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of C is 35 degrees, what is the measure of A to two decimal places
Answer:
∠ A ≈ 16.67°
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values
[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )
16 sinA = 8 sin35° ( divide both sides by 16 )
sin A = [tex]\frac{8sin35}{16}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )
Expand X(3x+2)=??????
Answer:
[tex] {3x}^{2} + 2x[/tex]
Solution,
[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]
hope this helps...
Good luck on your assignment..
Answer:
3x²+2x
Step-by-step explanation:
=> x(3x+2)
Using distributive property
=> (x*3x)+(x*2)
=> 3x²+2x
4. Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 4^2:3^2, that means a 4:3 television set is similar to a 4^2:3^2 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?
Answer:
8
Step-by-step explanation:
Simplify the following expression. It’s for my math assignment, please help.
Answer:
[tex]3t^9[/tex]
Step-by-step explanation:
Image attached below.
Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2 + b
URGENT!
*silly answers will be reported
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:
[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]
Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
[tex]3x=2ax\\4=a^2+b[/tex]
So, using the first equation and solving for a, we get:
[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]
Finally, replacing the value of a in the second equation and solving for b, we get:
[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]
If ZBAC is a right angle and
m_BAD = 30°, then m DAC = [?]°.
Answer:60 degrees
Step-by-step explanation:BAC =90 Degrees
BAD= 30 degrees
Since BAD and DAC are complementary angles, they add up to 90 degrees
So, 90 degrees-30 degrees= DAC which is =60 degrees
HOPE IT WAS CLEAR
Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.
According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.
To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.
Therefore, the angle DAC measures 60 degrees.
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The / that is measured at 220° is a reflex angle. The opposite angle is obtuse. Find the measure of obtuse /.
Answer:
140
Step-by-step explanation:
Sum of angles around a point = 360
So, if one angle 8 reflex and measures 220, it’s adjacent side measures.
360-220 = 140.
Hope this helps.
Good Luck
Rachel, Mario and Sanjit share some money in the ratios 4:3:9
Mario receives £96.
Work out the difference between the amount received by Rachel and the amount
received by Sanjit.
Answer:
£160.
Step-by-step explanation:
Mario receives 3 / (4+3+9) = 3/16 of the money.
So by proportion the total amount of money
= 96 * 16/3 = £512
So Rachel receives 4/16 = 1/4
= 512 / 4
= £128.
- and Sanjit receives 9/16
= 512 * 9/16
= £288
The difference is 288 - 128 = £160.
Here is a map of a town. It has a scale of 1 : 200,000. A centimetre ruler is shown on the map. What is the real-life distance between the park and the theatre? Give your answer in km.
Answer:
6km
Step-by-step explanation:
==>Given:
Map scale = 1 : 200,000
Distance on map between the park and the theatre = 3cm
==>Required:
Real life distance between the town and the theatre in km
==>Solution:
Note: the map scale given means 1cm on the map represents 200,000 cm in real life.
For a map distance of 3 cm between the town and the theatre, the real life distance would be:
3 × 200,000 = 600,000 cm
=>Convert to km
Thus, 100,000cm = 1km
Therefore, 600,000cm = 6km
Real life distance between the town and the theatre = 6km
Can someone please help me with this
Hey there! :)
Answer:
x = 3.
Step-by-step explanation:
Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:
2x + x + 5 = 3x + 5
4 + 3 = 7
Now, we can set up a ratio:
[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]
Cross multiply:
7(x + 5) = 4(3x + 5)
Distribute:
7x + 35 = 12x + 20
Subtract 7x from both sides:
35 = 5x + 20
Subtract 20 from both sides:
15 = 5x
Divide both sides by 5:
x = 3.
Answer:
Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 steps per day (and 65% of Americans are overweight). A group of health-conscious employees of a large health care system volunteered to wear pedometers for a month to record their steps. It was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps. At = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day?
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 = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Standard deviationGiven that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:
5430 = 100600 = X600 x 100 / 5430 = X60000 / 5430 = X11.04 = XTherefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
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I need help with this question can anyone help?
Answer:
the answer is 6 just check it
Which statement forms part of cell theory?
A.
Cell organelles are capable of reproducing themselves.
B.
Cells differ in shape, but they have identical components.
C.
All cells begin life as prokaryotic cells.
D.
All living things are made up
of cells.
Answer:
D. All living things are made up of cells.
Step-by-step explanation:
D. All living things are made up of cells.
O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.
The cell theory states that;
O All living organisms are made up of cells and they may be unicellular or multicellular.
O The cell is the basic structural and functional unit of life.
Cells arise from pre-existing cells.
the subject of the formula below is y. y = 2x - pq rearrang the formula to make x the subject PLS HELP I NEED IT NOW FOR MINECRAFTS SAKE ME WANNA PLAY BUT ME NEED THE QUESTION PLS
Answer:
I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a
Answer:
2x=y
Step-by-step explanation:
Done