Answer:
Hi! this is the answerThe length of the third side is a-2. :))))))))
Step-by-step explanation:
The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 20 members, how many ways could the officers be chosen?
Using the permutation formula, as the order is important, it is found that the officers can be chosen in 6840 ways.
Each "position" is a different role(president, vice president and secretary), hence the order is important.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 people will be chosen from a set of 20, hence:
[tex]P_{20,3} = \frac{20!}{17!} = 6840[/tex]
The officers can be chosen in 6840 ways.
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9=(1/27)^a+3 find a
-11/3
-7/3
7/3
11/3
Step-by-step explanation:
I think you made some mistakes in the problem definition.
I guess you mean
9 = (1/27)^(a+3)
let's think about how to create 9 out of 1/27 just by using exponents.
we note that 27 is 3³. and therefore the cubic root of 27 is 3.
so,
(1/27)^(1/3) = 1/3
because the exponent 1/3 means "cubic root". an exponent 1/2 means square root. and so on.
making the exponent negative means 1/...
so,
(1/27)^(-1/3) = 3
and now, with what exponent operation can we turn 3 into 9 ?
by squaring it.
so,
((1/27)^(-1/3))² = 9
putting an exponent on an exponent means to multiply the exponents during simplification.
therefore,
((1/27)^(-1/3))² = (1/27)^(-2/3) = 9
that means
a + 3 = -2/3
a = -2/3 - 3 = -2/3 - 9/3 = -11/3
so, the first answer option is correct.
Slope of line that passes through (3,6) and (8,2
Answer:
-4/5
Step-by-step explanation:
To find the slope of a line with two points, we do y2-y1/x2-x1.
y2 is 2. y1 is 6.
2-6 = -4
x2 is 8. x1 is 3
8-3 = 5
-4/5 is the answer meaning it is the slope.
Answer:
Slope of this line = -4/5.
Step-by-step explanation:
The formula is
Slope = (y2-y1)/(x2-x1) where (x1, y1) and (x2, y2) are the 2 points.
So here we have:
(6-2)/(3-8)
= -4/5.
You live in New York and travel by express subway to work 5 times a week for a cost of $9.75
each day. You can get an unlimited week pass for $25. How much can you save by buying
the pass?
O $16.00
O $25.00
O $48.75
O $23.75
PLEASE HELP WILL GIVE 100 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!whats 2+2
Answer:
158
Step-by-step explanation:
I'm pretty sure it's this. I know it's either this or 4, but this is more likely
Answer:
The answer is 4
Step-by-step explanation:
2+2=4. Brainly patrol, stop deleting my answer!
Maggie made 3 withdrawals of $30 each from her bank account. She also wrote a check for $50. What change did these transactions have on her bank account balance? F $80 g-$80 H $140 j-$140
Need some help with math
Answer:
Question 6 answer is 35
Step-by-step explanation:
using pythagoras theorem, hypotenuse²= opposite²+ adjacent²
since it is said that we're looking for the hypotenuse then the values given are for opposite and adjacent.
therefore, hyp²= 21²+28²
hyp²= 1225 take square root of both sides to eliminate square and find hypotenuse
hyp= 35
can some help me with this one question pls
Answer:
turn it
Step-by-step explanation:
What is the completely factored form of f(x) = x3 – 2x2 – 5x 6? f(x) = (x 2)(x – 3)(x 6) f(x) = (x 2)(x – 3)(x – 6) f(x) = (x – 2)(x 3)(x – 1) f(x) = (x 2)(x – 3)(x – 1)
[tex]x^3-2x^2-5x +6\\\\=x^3-x^2-x^2+x-6x+6\\\\=x^2(x-1)-x(x-1)-6(x-1)\\\\=(x-1)(x^2 -x -6)\\\\=(x-1)(x^2 -3x +2x -6)\\\\=(x-1)\textbf{[} x(x-3) +2(x-3)\textbf{]}\\\\=(x-1)(x-3)(x+2)[/tex]
The requried, factored form of the given expression is (x - 1)(x - 3)(x + 2).
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To factor the polynomial f(x) = x³ – 2x² – 5x + 6 completely, we can use a combination of the rational root theorem and synthetic division.
We can use synthetic division to test each possible root and see if it is a factor of the polynomial. Starting with x = 2, we have:
2 | 1 -2 -5 6
| 2 0 -10
|_____________
1 0 -5 -4
Since the remainder is not zero, x = 2 is not a factor of the polynomial. Continuing with the other possible roots, we find that x = 1 and x = 3 are roots, but x = -1, x = -2, x = -3, and x = -6 are not roots.
Therefore, we can factor the polynomial as follows:
f(x) = x² – 2x² – 5x + 6
= (x - 1)(x - 3)(x + 2)
So the completely factored form of f(x) is f(x) = (x - 1)(x - 3)(x + 2).
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#SPJ7
189.939360828 to 4 decimal places.
Answer:
189.9394
Step-by-step explanation:
Since 6 is >= 5, the 3 thurns into a 4
30 point question if you answer!
PLS HELP I WILL MARK YOU BRAINLIEST!!! ANSWER QUICKLY!!!! :,(
compare. use <, =, or > 11 ____-7
a. >
b. =
c. <
THANK YOU!!! <3
Answer:a. >
Step-by-step explanation:
Bradley owns 2 surfboards and 4 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?
Answer:
The answer is eight
Step-by-step explanation:
4*2=8
PLS HELP 30 PTS Sue and Kiana each recorded the number of computers they fixed everyday for 15 days. These line plots represent the data recorded.
Classify each statement by selecting true or false.
True False
The centers of the data sets are approximately equal.
True – The centers of the data sets are approximately equal.
False – The centers of the data sets are approximately equal.
The degree overlap is high.
True – The degree overlap is high.
False – The degree overlap is high.
The spreads of the data sets have overlaps.
True – The spreads of the data sets have overlaps.
False – The spreads of the data sets have overlaps.
Two line plots with the same scale and interval, extending from zero to ten, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has fourteen data values, which are plotted as follows. In upper plot, one value is plotted at point two on the line, one value at point three, two values at four, four values at five, three values at six, two values at seven, and one value at eight. In lower plot, one value is plotted at point three, two values at four, four values at five, three values at six, three values at seven, and one value at eight
Answer:
Step-by-step explanation:
1st one false 2 one false the third one true
Which is a solution to (x – 3)(x 9) = –27? x = –9 x = –3 x = 0 x = 6
The solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.
How to find the solution of equation?The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
To find the solution of the equation, equate it to zero after factorizing it.
The equation provided in the problem is,
[tex](x - 3)(x+ 9)=-27[/tex]
Simplify the equation with the help of mathematical operations,
[tex](x - 3)(x+ 9)=-27\\x^2-3x+9x-27=-27\\x^2+6x-27+27\\x^2+6x=0\\x(x+6)=0[/tex]
Equate the factors to zero,
[tex]x=0;\; x=-6[/tex]
Hence, the solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.
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Consider the line y=-7x+8. -- Find the equation of the line that is perpendicular to this line and passes through the point (8. -3). Find the equation of the line that is parallel to this line and passes through the point (8. –3).
Equation of perpendicular line:
Equation of parallel line:
Answer:
Step-by-step explanation:
Perpendicular formula
m1 * m2 = - 1
Givens
m1 = - 7
m2 = ??
Solution
-7 * m2 = -1
m2 = 1/7
y = 1/7 x + b
x = 8
y = -3 Substitute these values into y = 1/7 x + b
-3 = (1/7)*8 + b
-3 = 8/7 + b Subtract 8/7 from both sides
-3 - 8/7 = b
-4 1/7 = b
Answer (perpendicular line) y = (1/7) x - 4 1/7 or
Answer (perpendicular line) y = (1/7) x - 4.14
Parallel line
Nothing changes except you have a different y intercept.
y = -7x + b
x = 8
y = -3 Substitute these values into y = -7x + b
-3 = -7*8 + b
-3 = - 56 + b
-3 + 56 = b
b = 53
Equation Parallel line: y = -7x + 53
Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38. which student found the correct mean? ashrita’s work: startfraction 26 31 39 30 16 16 18 38 over 8 endfraction = startfraction 214 over 8 endfraction = 26.75 collette’s work: startfraction 26 38 over 2 endfraction = startfraction 64 over 2 endfraction = 32 daniel’s work: startfraction 26 31 39 30 18 38 over 7 endfraction = startfraction 198 over 7 endfraction = 28.29 lora’s work: startfraction 30 16 over 2 endfraction = startfraction 46 over 2 endfraction = 23
In calculating the mean of this data set Ashrita did the best job.
The Mean of the data set is the most commonly used measures of central tendency.
It means the average value of the data set.
one doesn't have to arrange the data in order for finding it.
What is the meaning of mean?The data set value takes is to add them all together and divide that by the number of the data.
It can be written as
[tex],(x_1 + x_2 + x_3 + ..... + x_n) / n[/tex]
Where [tex]x_1 , x_2 , x_3 , ..... ,x_n[/tex]are the values in the data set
Therefore we can conclude that Ashrita did the best job in calculating the mean of this data set.
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Find the volume of the shaded region of the figure. Round answer to the nearest hundredths place.
Answer:
Step-by-step explanation:
Cylinder
Start by finding the volume of the cylinder as though the spheres were not there.
Volume of a cylinder = pi r^2 h
r = 6 inches
h = 25 inches. Put the givens in the formula
Volume = pi 6^2 * 25
Volume = pi * 36 * 25
Volume = 900 pi
One sphere
Don't try and find the volume of both spheres. Just do one and double it.
V = pi * (4/3) * r^3
r = 6 inches
V = pi * (4/3) * 6^3
V = pi * 288 Cubic inches
Two spheres
Total volume spheres = 2 * 288 pi
Total Volume of spheres = 576 pi
Volume of the shaded region.
The following will act as a formula for the answer to the question
V_shade = Volume of the cylinder - volume of the 2 spheres
Substitute values into formula
Volume shade = 900 * pi - 576* pi Take out common factor (pi)
Volume shade = pi * (900 - 576 )
Volume of the shaded area
Volumne shade = pi *324
pi = 3.14
Volume shade = 1017.36
Answer:
volume of the shaded region = 1018
Step-by-step explanation:
The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. the length of line segment bc is 15 cm. which is the approximate measure of angle acb? 31.0° 36.9° 53.1° 59.0°
The approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.
What is right angle triangle property?In a right angle triangle, ratio of the adjacent side to the hypotenuse side is equal to the cosine angle between them.
[tex]\cos\theta=\dfrac{b}{c}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.
The right triangle abc is given, in which,
The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. The length of line segment bc is 15 cm.According to the right angle triangle property,
[tex]\cos(acb)=\dfrac{bc}{ac}\\\cos(acb)=\dfrac{15}{25}\\\angle acb=\cos^{-1}(0.6)\\\angle acb=53.1^o[/tex]
Hence, the approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.
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Answer:
53.1 degrees.
Step-by-step explanation:
I need help with #1 & #2
Answer:
2. Letter B, see the attachment?
and also, I can't answer the #1 because I can't read it. I'm sorry
Already done #1 in your other question.
#2
2x-y=4y=2x-4Comapre to slope intercept form
slope=m=2Parallel lines have equal slope
Equation in point slope form
y+11=2(x+3)y+11=2x+6y=2x-5Quick help please it will mean a lot if you help me :)
Answer:
Green heart is 2 and blue shape is 8.
Step-by-step explanation:
We know 1 purple drop equals 3.
So 3+3 = 6
The total weight is 16 so we can do 16-6 = 10
We have 10 left. Since we need the weight to be balanced the green heart must be 2.
Because then it would be 8 on 1 side (2 purples equals 6 and 1 heart equals 2, so 6+2=8) and 8 on the other side (8+8=16).
Plese help I need an answer asap 5(x-4)
Answer:
5x-20
Step-by-step explanation:
Using the distributive property, we "feed" x and -4 the 5. So x turns into 5x and -4 turns into -20
Which table contains only the points that lie on the line represented by y=5/4x-3
Answer:
A table that represents a linear equation should be your answer. This means your slope should be constant/straight not like a parabola or absolute function.
Step-by-step explanation:
When you're trying to solve something using slope-intercept you can graph it or plug numbers for (x,y).
Graph:
Start at (0,-3)
Then plot the point since that is your Y-Intercept
Then go 5 up and 4 over to find your next point.
Once done, you should connect the dots to form a slope or a linear equation.
Need help asap
6. Choose a number that will produce an irrational answer when added to 7/8
Answer:
√7
Step-by-step explanation:
√7 is the only irrational number because it has the radical sign
√
https://brainly.com/question/19242625
A statement of an employee's biweekly earnings is given below. earnings deductions week ended regular fed. soc. med state with. with. care. with. net pay 8/18 $_____ $62.00 $45.06 $10.54 $12.40 $596.80 what is the employee's gross pay? a. $703.86 b. $714.40 c. $716.26 d. $726.80 please select the best answer from the choices provided a b c d
The amount of the gross pay of the employee is 726.80 dollars. Then the correct option is D.
What is addition?Taking two or more numbers and adding them together, or the entire amount of two or more numbers in addition.
A statement of an employee's biweekly earnings is given below. earnings deductions week ended regular is shown below.
$62.00, $45.06, $10.54, $12.40, $596.80
Then their sum will be
→ $62.00 + $45.06 + $10.54 + $12.40 + $596.80 = 726.80
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I DONT DO MATHHHHH?????
Three sides of a triangle measure 15, 19, and 26 respectively. What is
the measure of the largest angle? Round to the nearest whole degree.
Applying the law of cosine, the largest angle in the given triangle, to the nearest whole degree, is: 99°.
What is the Law of Cosine?Law of cosine is, c² = a² + b² - 2ab(cosC)
Let,
a = 15b = 19c = 26Largest angle = CPlug in the values into the formula for the law of cosine:
26² = 15² + 19² - 2(15)(19)(cosC)
676 = 586 - 570(cosC)
676 - 586 = -570(cosC)
90 = -570(cosC)
90/-570 = cos C
-0.1579 = cos C
C = cos^(-1)(-0.1579)
C = 99°
The largest angle = 99°
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Please show the figure in a piece of paper
Step-by-step explanation:
If you have any dout you can ask me.
A medical center conducted a study to investigate cholesterol levels in people who have had heart
attacks. A random sample of 16 people was obtained from the names of all patients of the medical
center who had a heart attack in the previous year. Of the people in the sample, the mean cholesterol level was 264.70 milligrams per deciliter (mg/dL) with standard deviation . Assuming all conditions for inference were met, which of the following is a 90 percent confidence interval for the mean cholesterol level, in, of all patients of the medical center who had a
heart attack in the previous year?
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 90% confidence interval is (246.6, 282.8).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 16 - 1 = 15 df, is t = 1.7531.
Researching the problem on the internet, the standard deviation was of 42.1 mg/dL, hence the parameters are as follows:
[tex]\overline{x} = 264.7, s = 41.2, n = 16[/tex]
Thus, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 264.7 - 1.7531\frac{41.2}{\sqrt{16}} = 246.6[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 264.7 + 1.7531\frac{41.2}{\sqrt{16}} = 282.8[/tex]
The 90% confidence interval is (246.6, 282.8).
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A woman gives ¼ of a cake to her son,¼to her daughter and 1/3 to
her husband.What fraction of the cake is left?
Answer:
1/6 is left
Step-by-step explanation:
A woman gives 1/4 of a cake to her son 1/4 to her daughter, and 1/3 to her husband. What fraction is left?
As 4*3=12, we need to convert into twelfths.
3/12 + 3/12 + 4/12 = 10/12. This needs to be subtracted from 1 (12/12).
12/12 - 10/12 = 2/12. Simplify to 1/6.
1/6 is left.