Answer:
(cosB-1)(cosB+6)
Step-by-step explanation:
use u substitution . u = cosB
u^2+5u-6
factor
(u-1)(u+6)
put cosB back in for u
(cosB-1)(cosB+6)
pril Heights (in inches) June Heights (in inches) 15 23 11 42 45 44 39 19 20 12 45 45 40 43 14 12 13 41 40 45 41 the difference between the mean height in April and the mean height in June? 34 inches B. 33 inches C. 30 inches D. 28 inches
Answer:
I need points plsss
Step-by-step explanation:
Find the distance between the skew lines P(t)=(2,0,2)+t⟨−2,−4,5⟩ and Q(t)=(4,5,−4)+t⟨3,5,4⟩.
Hint: Take the cross product of the slope vectors of P and Q to find a vector normal to both of these lines.
Get the slope/tangent vectors for each line:
dP/dt = ⟨-2, -4, 5⟩
dQ/dt = ⟨3, 5, 4⟩
Take their cross product - I'll call it v :
v = ⟨-2, -4, 5⟩×⟨3, 5, 4⟩ = ⟨-41, 23, 2⟩
Normalize this vector by multiplying it by 1/||v|| :
n = v/||v|| = ⟨-41, 23, 2⟩/(3√246)
Then the distance d between P and Q is
d = |n • (⟨-2, -4, 5⟩ - ⟨4, 5, -4⟩)|
d = 1/(3√246) |⟨-41, 23, 2⟩ • ⟨-6, -9, 9⟩|
d = 1/(3√246) |246 - 207 + 18|
d = 57/(3√246)
d = 19/√246
A. If you have 8 bags, each weighing 50 lbs., and have to weigh
out 5 batches at 125 lbs., do you have enough product to
make the batch?
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers.
The value of the first number is -
Answer:
-42/11
Step-by-step explanation:
x = y - 8
5x = 6 - 6y
So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5
Now...
x = y - 8
x = 6/5 - 6y/5
Now substitute first equation into the second and x is gonna be -42/11 or the first number
The average age of a college is 21.8 years. The average age of students of college is 24.2 years and average age of lecturers of college is 20.6 years. Find the ratio of the number of students to that of lecturers?
Answer:
22,2
Step-by-step explanation:
average also known as mean
so you find it by adding all the numbers together and dividing them by how many there are
so 21,8 + 24,2 + 20.6 = 66,6 divided by 3 equals 22,2
[tex]5(x-6)+3=3/4(2x-8)[/tex]
Álgebra 2 need help
Answer:
first term = -1/5
I cant see part b (sorry its too blurry)
thirteenth term = -0.2
part d: -19a/95a -0.2a
Step-by-step explanation:
socratic
alicia bought 205 pink and purple beads. she lost 3/5 of the pink beads and was given another 15 purple beads.
Answer: sorry
Step-by-step explanation:
767u6777
A vehicle purchased for $20700 depreciates at a constant rate of 5% . Determine the approximate value of the vehicle 10 years after purchase.
Answer:
I believe it is 12,393.86
Manatees can swim in water up to 20 feet deep. Write an expression that represents the depth d, that a manatee can swim
Answer:
0 ≤ d ≤ 20
Step-by-step explanation:
You mention that Manatees can swim in water up to 20 feet deep. So, this means that the largest depth that he can swim is 20 feet, not more than this. Also, keep in mind that the depth can't be negative, so ----> 0 ≤ d ≤ 20 feet
We want to write an expression (an inequality actually) that defines the depth at which a manatee can swim. The inequality is: 0ft ≤ d ≤ 20ft.
We know that the manatees can swim in water up to 20 feet deep. This represents the maximum deep at which manatees can swim, the minimum is trivial, it would be 0ft (when the manatees are on the surface of the water).
Then we can write the inequality:
0ft ≤ d ≤ 20ft.
This gives the range of possible values of d, depth at which the manatee can swim.
If you want to learn more, you can read:
https://brainly.com/question/17675534
Need help on polynomial expressions
Answer:- 10[tex]m^{2}[/tex] + 3m -9
Step-by-step explanation: Given ;
A= -3 -m
B= 3m -5[tex]m^{2}[/tex]
2B + 3A
solution
2B + 3A
substitute A and B in the formula
2(3m - 5[tex]m^{2}[/tex]) + 3(-3 -m)
6m - 10[tex]m^{2}[/tex] - 9 - 3m group like terms
- 10[tex]m^{2}[/tex] + (6m -3m) -9
- 10[tex]m^{2}[/tex] + 3m -9
What is the equation of the line through (4, -3) and (0, -2)?
O A. y = -x + 2
B. Y= -1x – 2
O C. y= - 4x –
D. y = 4x + 2
Answer:
B
Step-by-step explanation:
Pull in -4 and 0 into the variable x. and the 4 and -2 in the variable y and solve to get an equal answer.
How many times greater is the value of a 8 in the hundred millions place than in the ten millions place?
Step-by-step explanation:
80000000 -8000000=72000000 The value of a 8 in the hundred millions place than in the ten millions place is 72000000Add the first 12 terms of this sequence:
15, 45, 135, 405, 1215, ...
Answer:
Step-by-step explanation:
a₁ = 15
a₂/a₁ = 45/15 = 3
a₃/a₂ = 135/45 = 3
...
It is a geometric sequence with a common ratio r=3.
Sum of first 12 terms = a₁·(1-r¹²)/(1-r)
= 15·(1-3¹²)/(1-3)
= 15·(-531,441)/(-2)
= 3,985,800
25 POINTS!! A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds?
1%
4%
11%
44%
Please give an explanation. Thanks!
Which of the proportions below could be used to convert 2500 kilograms to grams?
A. 1000/1 = x/2500
B. 100/1 = x/2500
C. 1/100 = x/2500
D. 1/10 = x/2500
Answer:
A. 1000/1 = x/2500
Step-by-step explanation:
1000 g = 1 kg
Using ratios
1000 g x g
------------ = --------------
1 kg 25 00 kg
Answer:
A. 1000/1 = x/2500
Step-by-step explanation:
KHD - DCM
Kilo - Hecta - Deca - Base - Deci - Centi - Mili
*When moving from left to right, each spot you pass multiplis your number by 10.
2500 kilo → x grams (base)
Proportions:
grams/kilos = x/2500
*For every 1 kilo, there is 1000 grams.
1000/1 = x/2500
find the missing side round to the nearest tenth
Answer:
x=7.23
Step-by-step explanation:
Brainliest please
Express ✓7 as a decimal to 6 significant figures.
Answer:
the answer for this is 2.64575
√7=2.64
please mark this answer as brainlist
If
A. x = 62; mZROS = 31°
B. x = 60; mZROS = 28°
C. x= 31; mZROS = 62°
D. X = 28; mZROS = 60°
Answer:
x = 31
ROS = 62
Step-by-step explanation:
QOR + ROS = 90 degrees as indicated by the box
28+ 2x = 90
Subtract 28 from each side
2x = 90 -28
2x = 62
Divide by 2
2x/2 = 62/2
x = 31
ROS = 2x = 2*31 = 62
Answer:
C. x= 31; mZROS = 62°
Step-by-step explanation:
90=28+2x
2x= 90-28
2x= 62
x= 62/2
x=31°
2(x)= 2× 31 = 62
I hope I helped you^_^
How much would Carol have to invest today at 5.5% compounded annually to have $5300 for a vacation to China in three years?
Select one:
a.
$5023.70
b.
$4513.55
c.
$3179.08
d.
$4768.62
Larry made 14 baskets out of 21 attempts in a recent basketball game. If Scott attempted 24 baskets and made the same proportion of baskets as Larry, how many baskets did Scott make?
Scott made
baskets.
Answer:
16 baskets
Step-by-step explanation:
Create a proportion where x is the number of baskets that Scott made:
[tex]\frac{14}{21}[/tex] = [tex]\frac{x}{24}[/tex]
Cross multiply and solve for x:
21x = 336
x = 16
So, Scott made 16 baskets.
Please help! Anyways how was your day? lol
Answer:
>
Step-by-step explanation:
the less negative the greater the number
Name three different ways a bar graph can be drawn.
What is 12 1/2% as a fraction
3/25
1/8
6/25
1/4
9514 1404 393
Answer:
1/8
Step-by-step explanation:
The percent symbol % can be thought of as being fully equivalent to /100.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
_____
Additional comment
It can be useful to memorize the decimal equivalents of the reciprocals of the numbers up to 12.
1/12 = 0.0833...(repeating 3)
1/11 = 0.0909...(repeating 09)
1/10 = 0.1
1/9 = 0.111...(repeating 1)
1/8 = 0.125
1/7 = 0.142857...(repeating the same 6 digits)
1/6 = 0.1666...(repeating 6)
1/5 = 0.2
1/4 = 0.25
1/3 = 0.333...(repeating 3)
1/2 = 0.5
Of course, any of these is expressed as a percentage by multiplying by 100%. 1/8 = 12.5%, 1/6 = 16.6...% (repeating 6)
I need help with questions 1 and 2 and please be specific and please no links or I will have you reported
Answer:
Step-by-step explanation:
NO perimeter does not map directly to area....
take a square with side of 5 ... area is 5*5 which is 25 perimeter is 20
if you now take a rectangle with long side 8 and short side 2
the perimeter is 20 but the area is 16
Can I please get some help it would mean the world if u guys helped me and also can u show ur work and how u did it thanks! <3 =) have a nice day!
The length of a rectangle is (x+1) cm, and its width is 5 cm less than its length.
a) Express the area of the rectangle, A cm^2 , in terms of x.
b) The area of the rectangle is 24 cm^2. Calculate the length and width of the rectangle.
Answer:
a) x^2-3x-4(you also can express it as (x+1)(x-4))
b)The length is 8 cm, the width is 3 cm
Step-by-step explanation:
a) The length is x+1
The width is (x+1-5)= x-4
The area is the product of the length and the width
(x+1)(x-4)= x^2-3x-4
b) The formula for counting the area is x^2-3x-4
It is equal to 24
S0 x^2-3x-4=24
x^2-3x-28=0
a=1 b=-3 c=-28
D= b^2-4ac= 3^2-4*(-28)= 9+112= 121
sqrtD= 11
x1= (-b-sqrtD)/2a=(3-11)/2=-4 The length is -4+1=-3<0, but the length must be positive, this root isn't suitable.
x2= (-b+sqrtD)/2a=(3+11)/2=7 The length is 7+1=8 (it is suitable)
8-5=3 - The width
Century Page: Date: A man bought a radio for Rs. 2000 and fixed its price so that after giving 20% discount he made 10% profit. Find the fixed price of the radio
With a 10% profit the radio would be 2000 x 1.10 = 2,200
A 20 % discount means it would sell for 80% of the total price.
Divide the 2200 by 80% to get the fixed price:
2200/0.8 = 2750
Fixed price = 2750
Mary is thinking of a mystery number. She reduces it by 15% then subtracts 5. The result is 29. Determine the mystery number
Answer:
40
Step-by-step explanation:
Let x represent the mystery number.
Create an equation to represent the situation, then solve for x:
0.85x - 5 = 29
0.85x = 34
x = 40
So, the mystery number is 40.
Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculator to solve.
Answer:
628 mi^3
Step-by-step explanation:
the volume of a cylinder is given by:
V = base area x height
thus,
V = (3.14)(5)^2(8)
V = (3.14)(25)(8)
V = 628 mi^3
the volume of the cylinder is 628 cubic miles
The volume of the cylinder is 628 cubic miles.
We have a cylinder of radius 5 mi and height 8 mi.
We have to find the volume of the figure and round it to nearest tenth.
What is the volume of cylinder?The volume of cylinder is given by the formula -
Volume [tex]=\pi r^{2} h[/tex]
We can use the above formula to calculate the volume of cylinder. In our case -
r = 5 mi
h = 8 mi
Substituting the values in the formula -
Volume [tex]=\pi\times5^{2}\times 8\\\\[/tex] = 628 cubic miles.
Hence, the volume of the cylinder is 628 cubic miles.
To solve more questions on finding the volume of cylinder, visit the link below -
https://brainly.com/question/16134180?referrer=searchResults
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