6!
type in expanded form and multiply
Answer:
see below
Step-by-step explanation:
6! is six factorial
= 6 x 5 x 4 x 3 x 2 x 1 = 720
Tyler simplified the expression x³y9. His procedure is shown below.
1
31/1
³y-9
What is Tyler's error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power
The power
should be in the numerator and the power y9 in the denominator.
should be in the numerator and the power x3 in the denominator.
Answer:
(b) both powers should be in the denominator with positive exponents
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
The correct simplification is ...
[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]
Both variables should have positive exponents in the denominator.
Find the area of the Wrangle
The area of the triangle in square units 8 units 10 units
Answer:
The area is 40 units
Step-by-step explanation:
please help me in this question please
Answer:
Can you please write the question given to answer the graph
what is 3 to the square root of 1089
change this to an improper fraction 3 1/8
Answer: 25/8
Step-by-step explanation:
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Change 3+1/8 to an improper fraction.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First, multiply the whole part (3) times the denominator (8):-
[tex]\bold{3\times8=24}[/tex]
Now add the numerator:-
[tex]\bold{25}[/tex]
That's the numerator of the improper fraction, and the denominator stays the same.
[tex]\bigstar[/tex] Therefore, the fraction is
[tex]\bold{\dfrac{25}{24}}[/tex]
Good luck.[tex]\rule{300}{1}[/tex]
Workers Inc. just bought 12 boxes of pens to put in their storage room for employees to use as needed. Each box contains 35
pens. If each of the 25 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 417
B. 395
C. 345
D.195
Answer:
C. 345Step-by-step explanation:
first you multiply 25 and 3. and get 75next multiply 12 and 35. and get 420
finally subtract the two and get 345
find the answer of given photo
The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706
The mean, standard deviation, min, max, etc.To do this, we make use of the following data values
15, 16, 16, 17, 17, 17, 20, 22, 22, 30
The mean is calculated using:
Mean = Sum/Count
So, we have:
Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10
Evaluate
Mean = 19.2
Using a graphing calculator, we have:
Standard Deviation, σ = 4.30
The min and the max are:
Min = 15
Max = 30
See attachment for the histogram.
From the attached histogram, we can see that the skewness of the plot is positive skewness
The percentage area between min and max expenses.The min and the max values are the range of the normal plot.
So, the percentage area between these values is 100%
Inspect three samplesLet the three samples be
16, 17, and 30
The sample mean is:
Mean = Sum/Count
So, we have:
Mean = (16 + 17 + 30)/3
Evaluate
Mean = 21
The sample mean is different from the population mean
Since the means are not equal, then we fail to accept the Null hypothesis.
The correlation coefficientTo do this, we make use of a graphing calculator with the following calculation summary:
X Values
∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154Y Values
∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333X and Y Combined
N = 6∑(X - Mx)(Y - My) = -8R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -8 / √((154)(3.333)) = -0.3531
The correlation coefficient -0.3531 means that there is a negative correlation between the data values
The equation of the Regression lineTo do this, we make use of a graphing calculator with the following calculation summary:
b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563So, we have:
y = -0.052x + 2.706
Hence, the equation of the regression line is y = -0.052x + 2.706
See attachment 2 for the scatter plot.
Read more about scatter plots and histograms at:
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The parabola y = -(x − 3)² + 6 has its focus at (3,1). Determine and state the equation 20 of the directrix.
well, tis noteworthy that the equation of the parabola above is already in vertex form, which means its vertex is at (3 , 6) and its focus point is at (3 , 1).
now, the focus point is below the vertex, meaning is a vertical parabola opening downwards, like a hump.
[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]y=-\cfrac{1}{20}(x-3)^2+6\implies y-6=-\cfrac{1}{20}(x-3)^2\implies \stackrel{4p}{-20}(y-\stackrel{k}{6})=(x-\stackrel{h}{3})^2 \\\\\\ 4p=-20\implies p=-\cfrac{20}{4}\implies p=-5[/tex]
the focus point must be a negative distance since the parabola is opening downwards, and the directrix is across the vertex at "p" distance, Check the picture below.
There are 7 balls in the bag: 3 blue, 2 red and 2 white. What is the probability that one would pick two balls of the same colour?
Answer:
5/21.
Step-by-step explanation:
Total number of balls = 7.
Prob(Blue on first pick) = 3/7
Prob(Blue on second pick) = 2/6 = 1/3
So Prob( 2 Blue's) = 3/7 * 1/3 = 3/21 = 1/7.
Prob(Red on first pick) = 2/7
Prob(Red on second pick) = 1/6
So Prob( 2 Red's) = 2/7 * 1/6 = 1/21.
Now the Probability of getting 2 white balls is the same as for the red balls
= 1/21.
Finally, the probability of 2 balls of the same colour
= 1/7 + 1/21 + 1/21
= 3/21 + 1/21 + 1/21
= 5/21.
the probability of picking two balls of the same color is 5/21.
To calculate the probability of picking two balls of the same color, we need to consider all the possible combinations of drawing two balls from the bag and then determine how many of those combinations result in both balls being the same color.
Total number of balls in the bag = 7
1. Probability of picking two blue balls:
Number of blue balls = 3
Probability of picking the first blue ball = 3/7
Probability of picking the second blue ball (after one blue ball has been picked) = 2/6 (since there are 2 blue balls left after one has been picked)
Total probability of picking two blue balls = (3/7) * (2/6) = 6/42 = 1/7
2. Probability of picking two red balls:
Number of red balls = 2
Probability of picking the first red ball = 2/7
Probability of picking the second red ball (after one red ball has been picked) = 1/6 (since there is 1 red ball left after one has been picked)
Total probability of picking two red balls = (2/7) * (1/6) = 2/42 = 1/21
3. Probability of picking two white balls:
Number of white balls = 2
Probability of picking the first white ball = 2/7
Probability of picking the second white ball (after one white ball has been picked) = 1/6 (since there is 1 white ball left after one has been picked)
Total probability of picking two white balls = (2/7) * (1/6) = 2/42 = 1/21
Now, we add up the probabilities of picking two balls of the same color:
Total probability = Probability of two blue balls + Probability of two red balls + Probability of two white balls
Total probability = 1/7 + 1/21 + 1/21
Total probability = (3 + 1 + 1)/21
Total probability = 5/21
Therefore, the probability of picking two balls of the same color is 5/21.
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Is the triangle with the lengths of 6, 7, and 9 a right triangle? (show work using Pythagorean theorem) Need to write the numbers in and show the calculation for credit.
Answer:
no
Step-by-step explanation:
6^2+7^2=9^2
36+49=81
no its not a right triangle
Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book?
Answer:
$0.65
Step-by-step explanation:
Given:
Books cost $6.95 each.
Mary had a $5 bill, a $1 bill, and 3 dimes.
To Find:
How much more money does she need to buy one book?
Solve:
Add all Mary money:
5+1+.30
6+.30
=6.30
Now subtract the book cost by Mary total money.
$6.95-$6.30
=$.65
Hence, Mary needs .65 cents to buy one book.
Kavinsky
Answer: 65 cents 0.65
Step-by-step explanation:
$5 + $1=$6
3dimes= 30 cents
$6 + 30 cents=$6.30
$6.95-$6.30=0.65
What calculation is modeled on the number line?
++++
--1
-1
0
12
1
- + (-15) = -2
- +(-1) = -1
- + (-5) = -1
+
- (금)-1
10
10
10
I will give 100 points pls ASAP!
Answer:
3rd option (bottom left)
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!!
Answer:
A^2 +b^2 = c^2
8^2 + 13^2
64 + 169
233
233 = c^2
so we find the square root of 233
answer is 15.26
Answer:
15.26
Step-by-step explanation:
The Pythagorean theorem
The Pythagorean theorem is used to find missing side lengths in a right triangle ( a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.
The formula of the Pythagorean theorem is
a² + b² = c²
Where a and b = base lengths and c = hypotenuse ( longest side )
Solving for the missing side
Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.
To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )
Plugging in what we are given
Given:
a = 8 , b = 13
Formula : a² + b² = c²
==> plug in values
8² + 13² = c²
==> simplify exponents
64 + 169 = c²
==> add 64 and 169
233 = c²
==> take the square root of both sides
c = 15.26 ( rounded to two decimal places )
And we are done!
Please help me ojn this question
Answer:
T4 = 162 T5 = 486 T6 = 1458
Explanation:
the pattern is multiply the previous number by 3
so 6 x 3 = 18
18 x 3 = 54
54 x 3 = 162 and so on.
1. The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2kg. Given that
information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A. Compare the masses of the two samples to decide who is correct. State which person is correct and
explain your answer using mathematics.
Answer:
Given:
[tex]\textsf{Mass of Sample A}=2.4 \times 10^{-2}[/tex][tex]\textsf{Mass of Sample B}=3.6 \times 10^{2}[/tex]As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.
Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):
[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]
To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:
[tex]\implies 1.5000 \times 10^4=15000[/tex]
(If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).
Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.
A 100 N boxer punches a 10 kg punching bag with his fist using a 25 N force. Describe the
forces on the fist and the punching bag.
A) The force on the fist is greater than the force on the punching bag.
B) The force on the fist is equal to the force on the punching bag.
C) The force on the fist is smaller than the force on the punching bag.
D) Not enough information is given to determine which force is larger or smaller
Answer:
B
Step-by-step explanation:
B is the answer to your question
Find the surface area of the prism.
4cm
,
3cm
A
6cm
--
5cm
Surface Area = [ ]cm2
Answer:
60cm²
Step-by-step explanation:
2(1/2×4×3)+(3×6)+(5×6)
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Answer:
x = 42°
Step-by-step explanation:
We have from figure
x + 48° = 90°
x = 90° - 48°
= 42°
HOPE THIS HELPS AND HAVE A NICE DAY <3
The question asks too state if the triangles in each pair are similar. Did i do it right? please help i have my test tmr
Answer:
Unfortunately they are not simmilar because 9 is not similar to 80 but to 90, they would be similar if the triangle was 40, 70 and 90, know what I mean?
Step-by-step explanation:
Solve for x and find the degree of the other two angles.
m<2 = 9x + 6
Answer:
x = 7 and the degree of other two angles is 69.
Step-by-step explanation:
As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so
9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )
18x + 54 = 180
18x = 180 - 54
18x = 126
x = 126/18
x = 7
the degree of the other two angle is
= 9*7 + 6
= 69
Hope it helps :)
Which of these is not a property of a Parallelogram?
a) Opposite Sides Congruent
b) Opposite Angles Congruent
c) Diagonals Bisect Each other
d) Diagonals Congruent
A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.
Explanation:
There are six important properties of a parallelograms:
The opposite side of a parallelogram is always equal.The opposite angle of a parallelogram are congruent.The consecutive angles of a parallelogram are supplementary.In a parallelogram if one angle is right then all the angles are right.The diagonals of parallelogram bisect each other.Each diagonal of a parallelogram separates it into two congruent triangle.The answer to the above question is (D) Diagonals Congruent
Answer:
D
Step-by-step explanation:
Because these are the 7 properties of a parralelgrom
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary. .
Each diagonal of a parallelogram separates it into two congruent triangles.
The diagonals of a parallelogram bisect each other.
ANWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answer:
6202.73 cubic centimeters
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
diameter: 22.8 cmradius: diameter/2 - 22.8/2 = 11.4 cmVolume:
4/3 π(radius)³insert values
4/3 (3.14)(11.4)³simplify
6202.73 cm³A home has three bedrooms, 2 baths, a pool, and an attached workshop. The asking price is $ 450,000; the square footage is 2,255 sq ft. What is the price per square foot?
Answer:
$ 199.56 per sq ft
Step-by-step explanation:
price / ft^2 = 450 000 / 2255 = 199.56
The diameter is 57 cm what is the radius and area write your solution below
Answer: radius: 28.5
area: 2551.76
Step-by-step explanation:
radius is always half of the diameter and area is pi(r^2)
PLEASE HELP!!!
Which point is tangent to the circle?
A
D
M
Q
HELP AND I WILL GIVE YOU BRAINLIST! ANSWER CORRECTLY PLEASE.
Complete the sentences about simplifying this expression.
Answer:
Step-by-step explanation:
First step is to solve the numerator
so the fraction is 29/10/29
so the whole expression is 1/10
Answer: Solve the numerator, numerator and denominator are equal, expression equals 13
Step-by-step explanation:
13 x (5.6-2.7/2.9)
1. The first step; solve the numerator (5.6-2.7=2.9)
2. The numerator and dominator are equal, so the whole expression equals 13 (2.9/2.9 = 1 --> 1*13 = 13)
please help will mark Brainliest!!
ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answer:
v = 29647.79 cu.ft.
Step-by-step explanation:
[tex]v=\frac{4}{3} \pi r^{3}\\ r=19.2[/tex]
[tex]v=\frac{4}{3} \pi (19.2)^{3} =29,647.79 cu.ft[/tex]
Hope this helps
Answer:
29632.76 cubic feet
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
radius: 19.2 ftVolume:
4/3 π(radius)³insert values
4/3 (3.14)(19.2)³simplify
29632.7577rounded to nearest hundredth
29632.76 cm³May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i
Answer:
(x, y) = (17/31, 1/31)
Step-by-step explanation:
Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.
__
simplify(5 -3i)(x -yi) = 3(x +2yi) +1 -2i
5x -5yi -3xi +3yi² = 3x +6yi +1 -2i
(5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)
equate real, imaginary partsThis resolves to the two equations ...
5x -3y = 3x +1-5y -3x = 6y -2solve the systemPutting these equations into general form gives ...
2x -3y -1 = 0
3x +11y -2 = 0
Using the "cross multiplication method" to solve these equations, we get ...
x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31
y = ((-1)(3) -(-2)(2))/31 = 1/31
The values of x and y that satisfy this equation are ...
(x, y) = (17/31, 1/31)
_____
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