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.
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:
Help help help help help
Answer:
Give your laptop to me I repair it
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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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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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
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!
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.
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
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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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
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
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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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:
For which data representation is the median the better measure of center? bar graph. the horizontal axis is unnumbered. the vertical axis is numbered 0 to 10. the first bar is 3. the second bar is 8. the third bar is 4. the fourth bar is 8. the fifth bar is 3. unnumbered number line. the first notch has 2 dots. the second notch as 2 dots. the third notch as 3 dots. the fourth notch has 5 dots. the sixth notch has 5 dots. bar graph. the horizontal axis is unnumbered. the vertical axis is numbered 0 to 10. the first bar is 6. the second bar is 2. the third bar is 6. the fourth bar is 2. the fifth bar is 6. unnumbered number line. the first notch has 1 dot. the second notch as 3 dots. the third notch as 4 dots. the fourth notch has 3 dots. the sixth notch has 1 dot.
The data representation where the median is the better measure of the center is the third data representation.
How to illustrate the data?
From the information, the last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.
The drastically smaller values pull down the mean of the last bar graph. Comparatively, bar graphs one and two have symmetrical distributions of numbers on both sides of the central bar and this implies that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
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Answer: B/ the second graph
Step-by-step explanation: i hope this helps :)
use inequality to represent each of the following statment | x is less then 25
If you meant to say "x is less than 25", then it translates to [tex]x < 25[/tex]
If you meant to say " |x| is less than 25", then it translates to [tex]|x| < 25[/tex] and that absolute value inequality expands into [tex]-25 < x < 25[/tex], meaning x is between -25 and 25 excluding both endpoints.
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.
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
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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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
√
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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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30 point question if you answer!
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
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
Quick 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).
189.939360828 to 4 decimal places.
Answer:
189.9394
Step-by-step explanation:
Since 6 is >= 5, the 3 thurns into a 4
Please show the figure in a piece of paper
Step-by-step explanation:
If you have any dout you can ask me.
11.7 divided by 26.208
Answer:
0.446429
Step-by-step explanation:
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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I DONT DO MATHHHHH?????