Answer:
c + (C+2) = 12
Step-by-step explanation:
Assume C is the no of dimes
So there are C+2 no of nickels
Guven that C + (C+ 2) = 12
will mark as brainliest:)
A Ferris wheel has a maximum height of 111 feet and a minimum height of 5 feet. it takes 80 seconds for the wheel to make a full rotation. it reaches maximum height for the first time at t=8. give an equation h(t) that gives the height of the rider at t seconds. how high is the rider after 23 seconds?
Find value a when the angle between vectors U=(2,a) and V = (-6;8) is pie/4
Answer:
Step-by-step explanation:
The formula to find the angle between 2 vectors is
[tex]cos\theta=\frac{u*v}{|u||v|}[/tex] which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ = [tex]\frac{\sqrt{2} }{2}[/tex]. Filling in that formula requires us to find the dot product of u and v, which is
u·v = (2×(-6)) + (a×8) so
u·v = -12 + 8a. Then we need the magnitudes of both u and v:
[tex]|u|=\sqrt{2^2+a^2}=\sqrt{4+a^2}[/tex] and
[tex]|v|=\sqrt{(-6)^2+8^2}=\sqrt{100}=10[/tex]
Putting all of together looks like this:
[tex]\frac{\sqrt{2} }{2}=\frac{-12+8a}{10\sqrt{4+a^2} }[/tex] . Cross multiply to get
[tex]10\sqrt{2}(\sqrt{4+a^2})=2(-12+8a)[/tex] which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is
[tex]10\sqrt{8+2a^2}=-24+16a[/tex] and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:
100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get
800 + 200a² = 256a² -768a + 576. Combine like terms to come up with
0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.
Therefore, the value for a is 14. I checked it...it works
Answer:
a = 14, U = (2, 14)
Step-by-step explanation:
the other answer is correct.
just to add the solution path for the quadratic equation
0 = 56a² - 768a - 224
in general, a quadratic equation usually expressed in x
0 = ax² + bx + c
has its solution as
x = (-b ± sqrt(b² - 4ac))/(2a)
for us here this looks like this then
a = (768 ± sqrt(768² - 4×56×-224))/(2×56) =
= (768 ± sqrt(589824 + 4×56×224))/112 =
= (768 ± sqrt(589824 + 50176))/112 =
= (768 ± sqrt(640000))/112 = (768 ± 800)/112
a1 = (768 + 800)/112 = 1568/112 = 14
a2 = (768 - 800)/112 = -32/112 = -0.29
and the negative solution would be for a vector solution in the wrong direction (down instead of up). as V is pointing up left, and the angle is only 45 degrees (pi/4), also U has to point up.
so, 14 is the solution for U.
ANSWER ASAP!! The graph of f(t)=4•2^t shows the value of a rare coin in year t. What is the meaning of the y-intercept?
Answer:
the value of a rare coin in the beginning of the first year,
t = 0, so f(0) = 4• 2^0 = 4•1 = 4 (y-intercept)
Answer:
the y-intercept is at t=0, so in the model no time has past yet. it's the initial value of the coin
The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?
Answer:
24 per day
Step-by-step explanation:
'x' = days, so since 24 is with x, the rate of change is 24
An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices to 8 novels and 6 plays.
a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.
Answer:
A) 3 ways
B) sorry don't know.
Step-by-step explanation:
2 P and 2 N
3P and 1 N
4P
So 3 ways.
Please help and show work please and please no sending links
The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.
Answer:
Proved
Step-by-step explanation:
Given
[tex]p = 80[/tex] ---- perimeter
[tex]a \to area[/tex]
Required
[tex]x^2 + 40x + a = 0[/tex]
The perimeter is calculated as:
[tex]p = 2(x + y)[/tex]
Where
[tex]x,y \to[/tex] the rectangle dimension
So, we have:
[tex]2(x + y) = 80[/tex]
Divide by 2
[tex]x + y = 40[/tex]
Make y the subject
[tex]y = 40 - x[/tex]
The area of the rectangle is:
[tex]a = xy[/tex]
[tex]a = x * (40 -x)[/tex]
[tex]a = 40x -x^2[/tex]
Equate to 0:
[tex]x^2 - 40x + a = 0[/tex]
PLEASE HELP ME GUYS :((((((( c r y
triangle area ?
Answer:
1
Step-by-step explanation:
the answer is in the image above
Use the grouping method to factor this polynomial.
x^3 + 2x^2 + 12x +24
A. (x^2+6)(x+2)
B. (x^2 +2)(x+6)
C. (x^2 +2)(x+12)
D. (x^2 +12)(x+2)
Answer:
[tex]( {x}^{2} + 12)(x + 2)[/tex]
Step-by-step explanation:
[tex] {x}^{3} +2 {x}^{2} +12x+24[/tex]
[tex]( {x}^{3}+2 {x}^{2} )+12x+24[/tex]
[tex] {x}^{2} (x+2)+12(x+2)[/tex]
[tex]( {x}^{2} + 12)(x + 2)[/tex]
Hope it is helpful...3,15,75,375 9th term
Answer:
1,171,875
Step-by-step explanation:
The sequence is multiplying by 5 every time. It will be 3, 15, 75, 375, 1875, 9375, 46,875, 234,375, and then 1,171,875
The midpoint of a line segment from P1 to P2 is (-5,2). If P1 = (-1,7), what is P2?
Hope it helps you!
-miraculousfanx-
Answer:
p2 = (-9 , -3)
Step-by-step explanation:
let p2 be (a , b)
given :
p1(-1 , 7) = (x1 , y1)
p2(a , b) = (x2 , y2)
using midpoint formula:
midpoint = (x1 + x2/2 , y1 + y2/2)
(-5 , 2) = (-1 + a/2 , 7 + b/2)
Now , compare corresponding elements
-5 = -1 + a/2
-5*2 = -1 + a
-10 = -1 + a
-10 + 1 = a
-9 = a
2 = 7 + b/2
2*2 = 7 + b
4 = 7 + b
4 - 7 = b
-3 = b
therefore p2 = (-9 , -3)
Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi
Answer:
Step-by-step explanation:
The element decay percentage rate of change 2.22% per minute.
What is radioactive isotope?
Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.
Here, mass decreases by 73% every hour.
Weight of element X is 680 grams.
According to question,
f(t) = 680 (1 - 73%)ⁿ
f(t) = 680 (1 - 0.73)ⁿ
f(t) = 680 X 0.27ⁿ
f(t) = 680 X 0.9778ⁿ
f(t) = 680 X (1 - 0.02322)ⁿ
Thus, the element decay percentage rate of change 2.22% per minute.
Learn more about radioactive isotope from:
https://brainly.com/question/1907960
#SPJ2
The sides of which diagram are correctly labeled with respect to angle A?
A right triangle is shown. Angle A is opposite to the side labeled adjacent.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The side labeled adjacent is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled hypotenuse. The side labeled adjacent is opposite to the right angle.
9514 1404 393
Answer:
(b) Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
Step-by-step explanation:
The hypotenuse is always opposite the right angle.
The side considered "opposite" is opposite the angle of interest, angle A in this case.
Answer:
Other person is correct
Step-by-step explanation:
Rewrite each mixed number as a sum of two signed numbers,
3 1/5
-7 3/8
Answer:
31/5 as a mixed number: 6 and 1/5
-73/8 as a mixed number:-9 and 1/8
Step-by-step explanation:
Rewriting each mixed number as a sum of two signed numbers 3 1/5 and -7 3/8 are 3 and 1/5 and -8 and 5/8 respectively
The mixed number to rewrite as a sum of two signed numbers are as follows:
3 1 / 5-7 3 / 8Rewriting as a sum of the two signed numbers can be represented as follows;
3 1/5 = 16 / 5
-7 3/ 8 = - 59 / 8
Therefore,
3 1/5 will be 3 and 1/5
-7 3/ 8 will be -8 and 5/8
Note
3 + 1/5 = 3 1/5
-8 + 5/8 = -7 3/8
learn more on fraction here: https://brainly.com/question/24645582
wv^2 / Fg = r
Substitute the given values to find the value of the indicated letter.
r = ?
Given F = 11,000; W = 22,000; v = 164; g = 32
If XU = 3y-5 and RT = 32, find the value of y
Answer:
Step-by-step explanation:shsjsjdhdbshchdhchfhchdfhehxbehchr hehfhehdhejsjwhd khasa
What is the divisibility rule for 16?
Answer:
If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Add the last two digits to four times the rest. The result must be divisible by 16.
The last four digits must be divisible by 16.
Answer:
If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Example: 3408: 408 + 8 = 416.
Step-by-step explanation:
m) Factorise:
x2/9+1+9/x2
Answer:
Cannot be factored
Step-by-step explanation:
Given
[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]
Required
Factorize
Take LCM
[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]
The expression cannot be factored
Given m||n, find the value of x
Answer:
The answer is 104 degrees.
Step-by-step explanation:
M is equivalent to N, which means x is also 104 degrees.
Find the area of the figure shown below. Use 3.14 for π. Use the formula π x r^2 to find the area of a full circle.
A)32.84 in
B)38.13 in
C) None of these answers
D)62.13 in
E)161.04 in
Answer:
c
Step-by-step explanation:
none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.
Answer:
D. 62.13 in²
Step-by-step explanation:
the area = (8×6)+(½×3.14×3²)
= 48+14.13
= 62.13
Find the slope of the line that passes through the points (-5,-6) and (5,10)
GIVING OUT BRAINLIEST HELP ME OUT PLSSS
Answer:
90 degrees but mom not too sure
Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
True
False
28/16=14/8
3/5=9/15
4/32=10/78
3/4=12/16
Answer:
28/16=14/8 true
3/5=9/15 true
4/32=10/78 false
3/4=12/16 true
Step-by-step explanation:
DID IT ON BRIDGE
El opuesto y el semejante de 8xy
Answer:
No entiendo
Step-by-step explanation:
A 12 sided die is rolled. Find the probability of rolling and even number
Answer:
0.5
Step-by-step explanation:
Wanted outcome / possible outcomes = 0.5 in this case.
Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy?
Answer:
She must buy more than 5 lbs
Step-by-step explanation:
First write the inequality
cost per pound * number of pounds > total cost
8 * lbs > 40
Divide each side by 8
8 lbs /8 > 40/8
lbs > 5
She must buy more than 5 lbs
A small county has two property appraisers, Tim and Julie. Does Tim appraise property differently on average than the Julie? Each appraiser looks at 20 properties and each independently determines the value of the property. (Tim - Julie)
How should we write the alternative hypothesis?
(mud is the population mean difference)
A. Ha: mud = 0.
B. Ha: mud > 0.
C. Ha: mud < 0.
D. Ha: mud does not equal zero.
Answer:
The answer is "Option D"
Step-by-step explanation:
In this question the "choice D" is wrong because [tex]H_a: \mu_d \neq 0[/tex].
Can anyone help me with this one plz
Answer:
its c my dude
Step-by-step explanation:
....................
answer is c because that is right plz brainliest and like plz
A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?
Answer:
1960 dancers
Step-by-step explanation:
your are on "ace" level and need help here ?
a pair is 2 people
4 pairs is therefore 4×2 people = 8
245 teams of 4 pairs or 8 people each means
245×8 = 1960 people
Find the median and mean of the data set below:
48,32,5, 13, 11, 22, 2
Answer:
the median is 13 and the mean is 13
