Answer: 40320 ways
Step-by-step explanation:
From the question, we are informed that we should the number of arrangements that are in the letters in the word: CHAPTERS.
First, we should note that there are 8 letters in the word CHAPTERS, therefore the number of ways that the word can be arranged is 8! which simply means:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 40320 ways
In FGH, K is the midpoint of GH. What type of segment is FK?
median?
altitude?
angle bisector?
perpendicular bisector?
Answer:
Median
Step-by-step explanation:
In FGH, K is the midpoint of GH.
Therefore, FK is the median segment.
A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, negative 8, negative 2, 4, 10. Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table. y = x +
Answer:
The correct answer is y = 3x + 1.
Step-by-step explanation:
I did the assignment, and it was correct. Hope it helps!
Answer:
y=3x + 1
Step-by-step explanation:
I got it right on the assignment and plus im smart
Solve the quadratic equation by completing the square. X^2+14x+38=0
Can you explain the steps too so I can understand it better. Also if there are more than one solution can you add all of the solutions. Thank you!
Answer:
[tex] \rm x = - 7 \pm \sqrt{11} [/tex]
Step-by-step explanation:
Solve for x over the real numbers:
[tex] \longrightarrow [/tex] x² + 14x + 38 = 0
Subtract 38 from both sides:
[tex] \longrightarrow [/tex] x² + 14x + 38 - 38 = 0 - 38
[tex] \longrightarrow [/tex] x² + 14x = -38
Add 49 to both sides:
[tex] \longrightarrow [/tex] x² + 14x + 49 = 49 - 38
[tex] \longrightarrow [/tex] x² + 14x + 49 = 11
Write the left hand side as a square:
[tex] \longrightarrow [/tex] x² + 7x + 7x + 49 = 11
[tex] \longrightarrow [/tex] x(x + 7) + 7(x + 7) = 11
[tex] \longrightarrow [/tex] (x + 7)(x + 7) = 11
[tex] \longrightarrow [/tex] (x + 7)² = 11
Take the square root of both sides:
[tex] \longrightarrow [/tex] [tex] \sf \sqrt{{(x + 7)}^{2}} = \pm \sqrt{11} [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x + 7 = \pm \sqrt{11} [/tex]
Subtract 7 from both sides:
[tex] \longrightarrow [/tex] [tex] \sf x = - 7 \pm \sqrt{11} [/tex]
Solve for x.
4x - 8 = -3(2x + 6)
Answer:
x= -1
Step-by-step explanation:
First, distribute the -3 through the parentheses
4x-8= -3(2x+6)
= 4x-8= -6x-18
Second, move the variable to the left-hand side and change its sign
4x+6x= -18+8
10x= -10
Divide both sides by 10
x=-1
Answer:
x=-7
Step-by-step explanation:
first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7
Someone please help me
Slope = 2, y-intercept = -4
Answer:
y = 2x - 4
Step-by-step explanation:
Pls give me Brainliest thank you <3
Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.
StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction
StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction
Given:
[tex]\sin (x)=-\dfrac{1}{2}[/tex]
[tex]\cos (y)=-\dfrac{1}{3}[/tex]
x is an angle in quadrant III, and y is an angle in quadrant II.
To find:
The value of sin(x+y).
Solution:
We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.
x is an angle in quadrant III,
[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]
[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]
[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]
[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]
[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]
y is an angle in quadrant II.
[tex]\sin y=\sqrt{1-\cos^2x}[/tex]
[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]
[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]
[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]
Now,
[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]
[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]
[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]
[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]
Therefore, the correct option is B.
Answer:
Choice B
Step-by-step explanation:
I need this ASAP, I’ll give brainliest if correct.
Answer:
b
Step-by-step explanation:
other person answered, just need some points
If matrix A is a 3x4 and matrix B is a 5x3, what are the dimensions of BA?
Answer:
I don't know if this is right but 27
Step-by-step explanation:
Because 3 x 4 = 12 so that's A, and 5 x 3 = 15 so that's B. Add them together and get 27 for BA
The graph of the function y=tan(x) was horizontally stretched so that its period became 10pi Which is the equation of the transformed function?
Answer:
A is the answer
Step-by-step explanation: Edge 2020
Any help would be appreciated(brainly for best answer)
Answer:
i believe it is the answer on the right because alternate interior angles add up to 180 degrees
Answer:
2x-40= x+10 one
Step-by-step explanation:
they are alternate interior angles which equal each other, not 180
The dress store is having a sale where all merchandise is 1/4 off. A woman buys $50 of merchandise at the sale price. What would she have to pay at the regular price?
ANSWER PLZZ!!
Answer:
200
Step-by-step explanation:
1/4 would be 25 percent and 50 times 4 would be 200
In a survey of 3000 people who owned a certain type of car, 2100 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%Step-by-step explanation:
Step one:
given data
we are told that the number of people under the survey is 3000
and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.
Step two:
Therefore the percentage of this number related to the total people under the survey is given below
=2100/3000*100
=21//30*100
=7/10*100
=7*10
=70%
Hence 70% of the people surveyed are satisfied with the type of car
PLEASE HELP what type of angles are 4 and 5 ? linear pair
corresponding angles
alternate exterior angles
same side interior angles
vertical angles
alternate interior angles
A company rents out 11 food booths and 22 game booths at the county fair. The fee for a food booth is $125 plus $6 per day. The fee for a game booth is $80 plus $10 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$3135 + $286d
Step-by-step explanation:
Given that:
Food booth = 11
Game booth = 22
Let number of days = d
Food booth rent = ($125 + 6d) * 11
Game booth rent = ($80 + 10d) * 22
Food booth = $1375 + $66d
Game booth = $1760 + $220d
Amount company is paid :
Food booth rent + game booth rent
($1375 + $66d) + ($1760 + $220d)
$(1375 + 1760) + $(66d + 220d)
$3135 + $286d
An item is regularly priced at 67$ . It is now priced at a discount of 35% off the regular price.
HELP !!
Answer:
The new price is $43.55.
Step-by-step explanation:
$67 * .35 = $23.45; this is your discount amount.
To find the new price.
$67(original price) - $23.45(35% discount) = $43.55
Answer:
A product that normally costs $67 with a 35 percent discount will cost you $43.55, and you saved $23.45.
Step-by-step explanation:
credit to:
researchmaniacs.com
Solve the linear graph
y=3x+7
points to plot:
(0, 7) (1, 10) (2, 13) (4, 19)
For the given equation of the graph, the slope is 3 and the y-intercept is 7.
An algebraic equation known as a linear equation depicts a straight line on a graph. This equation has one as the greatest power of the variable or variables at play. In other words, no exponentiation or other mathematical action is performed on the variables in a linear equation.
The general equation of the straight line is,
y = mx + c
Here, m is the slope and c is the y-intercept.
Compare the given equation with the general equation of the line,
y = mx + c
y = 3x + 7
Therefore, the slope is 3 and the y-intercept is 7.
To know more about the equation of line follow
https://brainly.com/question/18831322
#SPJ6
What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
Answer:91 i think
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
6.5 x 14 =91
Please help!
Convert the standard linear equation to slope intercept form and graph
Thank youn
What is 12 = 1 + a/1 -a?
Answer:
There is no solution
Step-by-step explanation:
There are no values of (a) that make the equation true.
Answer:
a = 11/13
Step-by-step explanation:
Multiply both sides by 1 - a
12(1 - a) = 1 + a
= 12 - 12a = 1 + a
Subtract 12 from both sides
= -12a = -11 + a
Subtract a from both side
-13a = -11
Divide by -13 each side
-13a/13 = -11/-13
= a = 11/13
(help) During a snowstorm the temperature drops from 0 F to - 7 in 7 hours on average by how many degrees is the temperature changing per hour
Answer:-1
Step-by-step explanation:
I got it wrong and it said that that is the right answer
A jacket regularly costs $65.How much would the jacket cost if it was on sale with a 20% discount
Answer:
Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.
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Step-by-step explanation:
QUESTION 9 of 10: You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your percentage of gain.
Answer:
Step-by-step explanation:
Multiply 100*$15 to find the loss. (1500)
Multiply 100*$21.75 to find what was made. (2175)
Subtract 2175-1500
Total=$675
Answer:
The percentage gain is 45 Percent.
Step-by-step explanation:
i need an answer to this "How many tickles does it take to make an octopus laugh
Answer:
it takes ten tickles for an octopus to laugh
How did you find your awnser ?
Answer:
i just did (and it's answer, btw)
Step-by-step explanation:
uhh yep lol
(GIVING BRAINLIEST) Which expression uses the associative property to make it easier to evaluate
Answer:
Its D.
Step-by-step explanation:
Give him brainliest he deserves it
Find the percent change:
$350 to $400
Answer:
14.29% increase
Hope this helps!
Step-by-step explanation:
The formula for this would be:
New value - Old value
Then divide the answer by the old value
Finally multiply it by 100
So it should be $400 - $350 which is $50
Then $50 ÷ $400 which is 0.125
Finally do 0.125 × 100 which is 12.5
So there has been a 12.5% increase
Hope this helps and/or makes sense!
1. Vertical angles are complementary
2. Vertical angles are adjacent
3. The complement of an acute angle is an acute angle
4. The supplement of an obtuse angle is an obtuse angle
Answer the following questions with Always, sometimes, or never
Answer:
1. Sometimes, 2. Never, 3. Always, 4. NeverStep-by-step explanation:
1. Vertical angles are complementary
Sometimes (if measure45°)2. Vertical angles are adjacent
Never3. The complement of an acute angle is an acute angle
Always. Both of them < 90°4. The supplement of an obtuse angle is an obtuse angle
Never. Obtuse angle > 90°, supplement is (180° - obtuse), which is <90° so is acuteI need to know the answer to part b please
Answer:
Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.
quick question how many times does 120 go into 400
Answer:
Step-by-step explanation:
3