Answer:
x=5/3
Step-by-step explanation:
there is only 1
What is 9C7 ?
A. 66
B. 55
C. 45
D. 36
Answer:
D. 36
Step-by-step explanation:
The formula for a combination :
ⁿCₓ = n! / (n - x)! x!Here we have ⁹C₇.
⁹C₇ = 9! / (9 - 7)! 7! = 9! / 2! x 7!9 x 8 x 7! / 2! x 7!9 x 8 / 236There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.
Given that, ⁹C₇.
The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
⁹C₇ = 9!/7!(9-7)!
= 9×8×7!/7!×2!
= 9×8/2×1
= 9×4
= 36
Therefore, the correct answer is option D.
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Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?
If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.
Loan Oustanding balanceFirst step is to find the annual interest
Annual interest= $391.42 x 12
Annual interest= $4,697.04
Second step is to calculate the outstanding balance
Outstanding balance=Annual interest/Interest rate
Oustanding balance= $4,697.04/ 11½%,
Outstanding balance =$40,843.826
Outsatnding balance= $40,843.83 (Approximately)
Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.
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Solve for the value of k.
(k+1)°
42°
Please give me the answers to all three I will mark u brilliant
Answer:
First know the formula for the area of a circle;
A = π[tex]r^{2}[/tex]Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.
For the first problem, we can see that 12 is our diameter.
And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;
D/2 = R
Replace with actual values;
12/2 = 6, 6 is our radius.
Now we plug this into our formula:
A = π[tex]r^{2}[/tex]
A = 3.14(6^2)
A = 3.14(36)
A = 113.04 centimetres is the area of the circle.
For the second problem, we can see that 18 is our diameter.
And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.
So;
D/2 = R
18/2 = 9, 9 is our radius.
Now we plug this into our formula:
A = π[tex]r^{2}[/tex]
A = 3.14(9^2)
A = 3.14(81)
A = 254.34 inches is the area for this circle.
For the third problem, we can see that our radius is already given, 5.
So now we just simply and easily plug this into our formula;
A = π[tex]r^{2}[/tex]
A = 3.14(5^2)
A = 3.14(25)
A = 78.5 meters is the area for this circle.
There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.
Answer:
y=mx+b. slopes.
Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.
Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.
HELP ME PLEASE 30 points, HELP
Answer:A
Step-by-step explanation:
When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.
Answer: the answer is B
Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.
How many seconds is 3.25 hours
Answer:
a total of 11700 senconds are on 3.25 hours
A composite figure is shown. What is the volume for the composite figure
The volume of the composite fiqure as shown in the diagram above is 300 cm³.
What is a composite fiqure?A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.
Note: The composite fiqure is made up of two different cubiods
To calculate the volume of the composite fiqure, we use the formula below.
Formula:
V = lbH+Lbh........... Equation 1Where:
V = Volume of the composite fiqureGiven:
l = 4 cmb = 5 cmH = 9 cmL = 6 cmb = 5 cmh = 4 cmSubsitute these values into equation 1
V = (4×9×5)+(6×5×4)V = 180+120V = 300 cm³Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.
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What is 35 - 2 ????? I am very confused and need help. I’m in college pls.
Answer:
33
Step-by-step explanation:
35 take away 1 is 34 take away one more its 33
can somebody help me on this pleaseee
Answer:
B I think or C or D or it could be A
What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3
Answer:
[tex]Y=-\frac{1}{3} + 6[/tex]
Hope This Helps! :) Please Mark Brainliest!
[tex]tan((x/2)-(pi /2))=\sqrt2[/tex]
[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]
[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]
40 POINTS!! Douglas is placing strings of lights around the edge of a circular patio with a diameter of 7.5 meters. The lights are in lengths of 1.45 meters. What is the best approximation for how many strings of lights Douglas needs? Use 3.14 to approximate for π.
5 strings
11 strings
17 strings
122 strings
Answer:
17
Step-by-step explanation:
...................
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Answer:
1200 more beats in 3 seconds or
400 more beats in 1 second
Step-by-step explanation:
A Mosquito beats its wings at a rate of 600 times per second.
A honey bee beats its wings at a rate of 200 times per second.
600 - 200 = 400
The mosquito beats 400 more times per second
400 X 3 = 1200
Frank bought 20 pounds of sugar for $10. How many pounds of sugar did he get per dollar?
Answer:
$2
Step-by-step explanation:
20lb divided by $10.
20 divided by 10 is 2
Find the missing side length
Answer:
12
Step-by-step explanation:
5^2+b^2=13^2
25+b^2=169
169-25=144
b=12
(yes, this is also a triple)
Which expression is equivalent to 20 + 8y − 9y − 21
Answer:
-y-1
Step-by-step explanation:
• You spend 44 more minutes
organizing your bookshelf than
you do sweeping the kitchen
floor. You spend 56 minutes
organizing your bookshelf.
How much time do you spend
sweeping the kitchen floor?
Johnson has 19 bowls of ice cream he gives away d ice cream bowls write the expression that shows the number of ice cream bowls are left?
Answer:
19 -d
Step-by-step explanation:
The number Johnson has left is found by subtracting the number he gave away from the number he started with.
19 -d . . . . . . . number of ice cream bowls left
okay okay what is emoji aaaaa
okay okay what is emoji aaaaa
-15(y2)4 divide 5y3y4
Answer:
-3y
Step-by-step explanation:
-15(y2)4 ÷5y3y4
Rewrite the division as a fraction
-15(y2)4
5y3y4
Multiply y3 by y4 by adding the exponents
-5(y2)4
5y7
Cancel the common factor of -15 and 5
-3(y2)4
y7
Multiply the exponents in (y2)4
-3y8
y7
Cancel the common factor of y8 and y7
Factor y7 out of -3y8
y7(-3y)
y7
Multiply by 1
y7(-3y)
y7 × 1
Cancel the common factor which is y7 and y7
Rewrite the expression
-3y
1
Divide -3y by 1
-3y
Please answer the questions below
Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]
y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]
the 2nd and 4th lines are perpendicular
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
1
Step-by-step explanation:
find ingrammes 1/5 of 2 kg + 60 g
Answer
i dont know i jus want the points
Step-by-step explanation:
Please help the assignment is due today
Answer:
D
Step-by-step explanation:
The equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58
How to determine the circle equation?The given parameters are:
Center, (a,b) = (3,1)Point, (x,y) = (0,-6)Start by calculating the radius using:
r^2 = (x -a)^2 +(y - b)^2
So, we have:
r^2 = (0 -3)^2 +(-6 - 1)^2
Evaluate
r^2 = 58
The circle equation is then calculated using:
(x -a)^2 +(y - b)^2 = r^2
This gives
(x -3)^2 +(y - 1)^2 = 58
Hence, the equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58
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Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?
Answer:
He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?
Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11.
A. x = 2; (2, −13)
B. x = 4; (4, 11)
C. x = −2; (−2, 83)
D .x = −4; (−4, −11)
Answer:
I believe its b
Step-by-step explanation:
The length of the longer leg of a right triangle is 13 m more than three times the length of the shorter leg. The length of the hypotenuse is 14 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: 0 m Length of the longer leg: in Length of the hypotenuse:
Answer:17
Step-by-step explanation:
What is the radius of a circle with a Circumference of 64 pi yards?