Answer:
|-9| = 9
That is the absolute value for the loss of yards
1. The population of an endangered species of bird is decreasing 15 percent each year. If there were originally 1,400 birds remaining,
how many are left after six years?
Answer:
528 birds
Step-by-step explanation:
100%-15%= 85% = .85
1400 (.85)^6
= 528
An auditorium contains 224 occupied seats and was 7/11 filled. How many empty seats were there?
Answer:
128 seats
Step-by-step explanation:
7/11 = 224 seats
11/11 = ?
(11/11 × 224) ÷ 7/11
224 ÷ 7/11 =
224 × 11/7 = 352 seats(total number of seats)
352 - 224 = 128 seats
original price $50 mark up 10% selling price?
Answer:
$55
Step-by-step explanation:
$50 + 0.10($50) = 1.1 * 50 = $55
Select all equations that have at least one integer solution.
Answer:
b and d
Step-by-step explanation:
The equations have at least one integer solution are equation B: √(3x) = 75 and equation D:√x = x - 12.
What is the solution to the given equations?The value of x is known as the solution.
A. √(4x) = 5
On squaring, we have
4x = 25
x = 6.25
The value is not an integer.
B. √(3x) = 75
On squaring, we have
3x = 5625
x = 1875
The value is an integer.
C. 8√x = √16
On squaring, we have
64x = 16
x = 0.25
The value is not an integer.
D. √x = x - 12
On squaring, we have
(x - 12)² = x
x² - 24x + 144 = x
x² - 25x + 144 = 0
(x - 16)(x - 9) = 0
x = 9, 16
The value is an integer.
E. √(10 - x) = x - 2
On squaring, we have
(x - 2)² = 10 - x
x² - 4x + 4 = 10 - x
x² - 3x - 6 = 0
(x - 4.37)(x + 1.37) = 0
x = -1.37, 4.37
The value is not an integer.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
How many eggs does a rooster lay a day???
Answer:
a rooster can't lay eggs
Step-by-step explanation:
a rooster is a male-
Answer:
0, A rooster is a male, it does not lay eggs. Hens lay eggs
Step-by-step explanation:
Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?
Answer:
GHS 940,000 and GHS 1,410,000
Step-by-step explanation:
Total Ratio, thus 2+3 = 5 = 2,350,000
2/5 × 2,350,000 = 940,000
3/5 × 2,350,000 = 1,410,000
In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.
Solve this for me (geometry)
Given:
A figure of a circle. [tex]KJ=6,KL=x-2,ML=4[/tex].
To find:
The length of KJ.
Solution:
From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.
Therefore, the length of KJ is 6 units.
Note: In the given question we need to find KL instead of KJ because KJ is already given.
According to the tangent secant theorem:
[tex]a^2=bc[/tex]
Where,
a is the length of the tangent.b is the length of the external segment of the secant.c is the measure of the secant.Using the tangent secant theorem, we get
[tex]ML^2=KL\times JL[/tex]
[tex](4)^2=(x-2)\times (6+x-2)[/tex]
[tex]16=(x-2)\times (4+x)[/tex]
[tex]16=4x+x^2-8-2x[/tex]
On further simplification, we get
[tex]16=x^2+2x-8[/tex]
[tex]0=x^2+2x-8-16[/tex]
[tex]0=x^2+2x-24[/tex]
Splitting the middle term, we get
[tex]x^2+6x-4x-24=0[/tex]
[tex]x(x+6)-4(x+6)=0[/tex]
[tex](x+6)(x-4)=0[/tex]
[tex]x=-6,4[/tex]
For [tex]x=-6[/tex],
[tex]KJ=-6-2[/tex]
[tex]KJ=-8[/tex], which is not possible because side cannot be negative.
For [tex]x=4[/tex],
[tex]KJ=4-2[/tex]
[tex]KJ=2[/tex]
Therefore, the measure of KL is 2 units.
Lucy wants to buy a new laptop for school. She has a $25 off coupon, but the store is also having a sale for 15%. Unfortunately she can not get both discounts and must pick one. If the laptop costs $200, which one should she use?
Answer:
15% discount
Step-by-step explanation:
200 x .15 is 30 which means that you save 5 dollars more when using that discount rather than just 25.
a painter is paid by the hour if he is paid 360 for 12 hours work how much will he be paid for 9 hours work
Answer: $270
Step-by-step explanation:
1. calculate how much he's getting paid per hour
- 360 / 12 = $30
2. calculate how much he's getting paid for 9 hours
- 30 * 9 = $270
The amount he would be paid for 9 hours of work is 270.
How much would the painter be paid for 9 hours of work?The first step is to determin1 be how much the painter would be paid for 1 hour of work.
Pay for working for 1 hour = 360 / 12 = 30
The pay for 9 hours = 30 x 9 = 270
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $224.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answer:
slope- (261)
Step-by-step explanation:
You roll a special 103 sided die. What is the probability of you rolling a 79? Round your answer to the thousandths place.
Answer:
0.010
Step-by-step explanation:
there is one 79 in the dice, and since there are 103 numbers in total, you use
1/103
= 0.00970873786
round to thousandths
= 0.010
Reduce the following differential equation to first-order and solve it.
Given that y₁(x) = x is a solution to the given second-order ODE, assume a second solution of the form
y₂(x) = y₁(x) v(x) = x v(x)
Take the first two derivatives and substitute this solution into the ODE:
y₂ = x v
y₂' = x v' + v
y₂'' = (x v'' + v' ) + v' = x v'' + 2 v'
→ (1 - x ²) y₂'' - 2 x y₂' + 2 y₂ = 0
→ (1 - x ²) (x v'' + 2 v' ) - 2 x (x v' + v) + 2 x v = 0
→ (x - x ³) v'' + (2 - 4 x ²) v' = 0
Next, reduce the order by substituting w(x) = v'(x) and w'(x) = v''(x) :
→ (x - x ³) w' + (2 - 4 x ²) w = 0
and now you have a linear equation in w. Solve for w(x) however you like; I'll just separate variables.
Write w'(x) = dw/dx, then separate variables as
(x - x ³) dw/dx + (2 - 4 x ²) w = 0
(x - x ³) dw/dx = (4x ² - 2) w
dw/w = (4x ² - 2) / (x - x ³) dx
Integrate both sides:
∫ dw/w = (4x ² - 2) / (x - x ³) dx
ln|w| = ∫ (4x ² - 2) / (x - x ³) dx
For the remaining integral, expand the integrand into partial fractions.
x - x ³ = x (1 - x ²) = x (1 - x) (1 + x)
→ (4x ² - 2) / (x - x ³) = a /x + b / (1 - x) + c / (1 + x)
→ 4x ² - 2 = a (1 - x ²) + b x (1 + x) + c x (1 - x)
→ 4x ² - 2 = (-a + b - c) x ² + (b + c) x + a
→ -a + b - c = 4, b + c = 0, a = -2
→ a = -2, b = 1, c = -1
→ (4x ² - 2) / (x - x ³) = -2/x + 1 / (1 - x) - 1 / (1 + x)
Then
ln|w| = ∫ (-2/x + 1 / (1 - x) - 1 / (1 + x)) dx
ln|w| = -2 ln|x| - ln|1 - x| - ln|1 + x| + C
ln|w| = -ln|x ² (1 - x ²)| + C
exp(ln|w|) = exp(-ln|x ² (1 - x ²)| + C )
w = C / (x ² (1 - x ²))
v' = C / (x ² (1 - x ²))
Solve for v(x) by integrating both sides, expanding the right side into partial fractions again:
x ² (1 - x ²) = x ² (1 - x) (1 + x)
→ 1 / (x ² (1 - x ²)) = a / x + b / x ² + c / (1 - x) + d / (1 + x)
→ 1 = a x (1 - x ²) + b (1 - x ²) + c x ² (1 + x) + d x ² (1 - x)
→ 1 = (-a + c - d) x ³ + (-b + c + d) x ² + a x + b
→ -a + c - d = 0, -b + c + d = 0, a = 0, b = 1
→ a = 0, b = 1, c = 1/2, d = 1/2
→ 1 / (x ² (1 - x ²)) = 1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))
dv/dx = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x)))
dv = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx
Integrate both sides:
∫ dv = ∫ C (1 / x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx
v = C₁ (-1/x - 1/2 ln|1 - x| + 1/2 ln|1 + x|) + C₂
v = C₁ (1/2 ln|(1 + x) / (1 - x)| - 1/x) + C₂
Solve for y₂(x) by multiplying both sides by x :
y₂ = C₁ (1/2 x ln|(1 + x) / (1 - x)| - 1) + C₂ x
Now, y₁(x) = x, so we can omit the last term from the second solution, giving us
y₂(x) = C (1/2 x ln|(1 + x) / (1 - x)| - 1)
The number 4,250 is ten times smaller than what number?
Answer:
42,500
Step-by-step explanation:
The number which is ten times greater than 4250 is 42, 500.
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The number 4,250 is ten times smaller than what number.
let the number be x.
So, x/10 = 4250
Now, make x as subject formula
x = 4250(10)
x= 42500
Learn more about Algebra here:
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help me please, im also timed!!
Answer:
Point A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
4 to the right, 1 up is point A
Directions: Read the following questions. Write the letter of the
correct answer.
1. Which of these lines pass a common point?
A. intersecting lines
C. line segment
B. parallel lines
D. perpendicular lines
2. Which of these lines meet at a point and produce square
corner or right angle?
A. connecting lines
C. intersecting lines
B. parallel lines
D. perpendicular lines
3. Which of these lines never meet or intersect in any point?
A. connecting lines
C. intersecting lines
B. parallel lines
D. perpendicular lines
4. Which of the following has the same distance apart at all
times?
A. intersecting lines
C. line segment
B. parallel lines
D. perpendicular lines
5. Which of the following is not shown in the figure at the
right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel
Answer:
1. A
2.D
3.B (parallel lines)
4.B
5. i don't have a picture of the figure so i'm not sure
Solve for x. round to the nearest tenth
Answer:
41.81
Step-by-step explanation:
∠B = arcsin(b·sin(A)a)
= 0.72973 rad = 41.81° = 41°48'37"
∠C = 180° - A - B = 0.84107 rad = 48.19° = 48°11'23"
c = a·sin(C)sin(A)=4.47214 = 2√5
A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?
© a triangle that has the same dimensions as either base of the prism
O a triangle that does not necessarily have the same dimensions as either base of the prism
• a parallelogram that is not a rectangle
a rectangle
For f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
Answer:
See answer below
Step-by-step explanation:
Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a)(fog)(x) = f(g(x))
f(g(x)) = f(2x^2-5)
f(g(x)) = 5(2x^2-5) - 3
f(g(x)) = 10x²-25-3
f(g(x)) = 10x² - 28
b) g(f(x)) = g(5x-3)
g(f(x)) = 2(5x-3)²-5
g(f(x)) = 2(25x²-30x+9)-5
g(f(x)) = 50x²-60x+18-5
g(f(x)) = 50x²-60x+13
c)(fog)(2) = f(g(2))
f(g(x)) = f(2x^2-5)
f(g(2)) = 10(2)² - 28
f(g(2)) = 10(4)-28
f(g(2)) = 12
d) g(f(x)) = g(5x-3)
g(f(x)) = 2(5x-3)²-5
g(f(x)) = 50x²-60x+13
g(f(2)) = 50(2)²-60(2)+13
g(f(2)) = 200-120+12
g(f(2)) =80+12
g(f(2)) = 92
The rate of healing, A′(t)(in square centimeters per day), for a certain type of abrasive skin wound is given approximately by the table.
t 0 1 2 3
A′(t) 0.91 0.83 0.76 0.69
t 4 5 6 7
A′(t) 0.62 0.58 0.48 0.44
Use left and right sums over five equal subintervals to approximate the area under the graph of A′(t) from t=0 to t=5.
The left sum, L5, is __________.
The right sum, R5, is ______________.
Answer:
Step-by-step explanation:
Given that:
t 0 1 2 3 4 5 6 7
A'(t) 0.91 0.83 0.76 0.69 0.62 0.58 0.48 0.44
a) [tex]\Delta x = \dfrac{5-0}{5}[/tex]
[tex]\Delta x = 1[/tex]
[tex]L_ 5= \Delta x ( (A'(0)+A'(1)+A'(2)+A'(3)+A'(4)) \\ \\ = 1 (0.91 + 0.83+ 0.76 +0.69 + 0.62 ) \\\\ L_5 =1( 3.81) \\ \\ \mathbf{L_5 = 3.81}[/tex]
[tex]R_ 5= \Delta x ( (A'(1)+A'(2)+A'(3)+A'(4)+A'(5)) \\ \\ = 1 ( 0.83+ 0.76 +0.69 + 0.62 +0.58) \\\\ R_5 =1( 3.48) \\ \\ \mathbf{R_5 = 3.48}[/tex]
The true statement:
[tex]Since, R_5 = 3.48 \ and \ L_5 = 3.81; \\ \\ Then : R_5 \le \int \limits ^5_0 A'(t) dt \le L_5[/tex]
2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation
Answer:
Step-by-step explanation:
C sampling
Snow fell at a rate of
of an inch/hour. How much
snow fell in a period of 6
hours?
Answer:
Step-by-step explanation:
that implies a simple multiplication:
snow = (3/4)(6) = 4.5 inch
and note the units elimination in the operation as well:
= [inch/hour][hour] = inch
My fault if im wrong :(
hey my silly little bakas );) help me out here okay ????
Answer:
The answer is A
Step-by-step explanation:
Yep im so smart. You defininetly need this answer a month later ;)
Suppose the graph of f(x)=x^2 is translated 3 units eight and 1 unit down. If the resulting graph represents g(x), what is the value of g(2.7)?
Answer:
The value of g(2.7) is 31.49.
Step-by-step explanation:
Translations of a function:
Suppose that we have a function f(x).
The translation of f(x) a units to the left is given by g(x) = f(x+a).
The translation of f(x) a units to the right is given by g(x) = f(x-a).
The translation of f(x) a units up is given by g(x) = f(x) + a.
The translation of f(x) a units down is given by g(x) = f(x) - a.
Suppose the graph of f(x)=x^2 is translated 3 units right and 1 unit down.
Three units right:
[tex]g(x) = f(x+3) = (x+3)^2[/tex]
One unit down:
[tex]g(x) = f(x+3) - 1 = (x+3)^2 - 1[/tex]
What is the value of g(2.7)?
This is g when [tex]x = 2.7[/tex]. So
[tex]g(2.7) = (2.7+3)^2 - 1 = (5.7)^2 - 1 = 31.49[/tex]
The value of g(2.7) is 31.49.
anyone please help .
...
Answer:
HI is 8 as the equal angles resemble equilateral triangle
rhe angle is 110 as the two equal sides represent isosceles triangle
Step-by-step explanation:
hope it helped!!!
Help please I need to complete this before 12
Answer:
Look at the answers bolded below
Step-by-step explanation:
To get the reference angle, just subtract 115° from 180°
180 - 115 = 65
So the reference angle is 65°
I'm not sure how many coterminal angles you need, but to get them you could just add or subtract 360°.
For example, a positive coterminal angle could be:
115 + 360 = 475°
a negative coterminal angle could be:
115 - 360 = -245°
Hope this helped :)
Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day
Part A
How far did he jog each day? Enter your answer in the box,
2.8
milos
00:00
Part B
How many total miles would Ted jog if he continued to jog the same number of miles each day for 6 days? Enter your answer in the box
Answer:
Part A: 2.8 miles
Part B: 16.8 miles
Step-by-step explanation:
First, solve for how many miles Ted jogged in 1 day:
Variable x = number of miles
11.2/4 = x/1
Cross multiply
11.2 × 1 = 4 × x
11.2 = 4x
Divide both sides by 4
2.8 = x
He jogged 2.8 miles every day.
To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:
2.8 miles × 6 days = 16.8 miles in 6 days
Yolanda brought a CD to listen to on the bus the CD is 78 minutes long The bus ride was 2 1/2 hours long How many minutes longer was the bus ride than thr CD?
Answer:
2.5 times 60 equals 150. 150-78 equals 72. So the answer is 72.
Step-by-step explanation:
Hope this helps.
find the missing length
Answer: 14
Step-by-step explanation:
VW corresponds to BA. VW is twice the length of BA, so VU must be twice the length of BC
During a sale of computers, one-fourth of
the inventory was sold the first day. The next
day two-thirds of the remaining inventory was
sold. What percent of the total inventory was
sold during the second day?
Answer:
On the second day, 50% of the total computer inventory was sold.
Step-by-step explanation:
Since during a sale of computers, one-fourth of the inventory was sold the first day, while the next day two-thirds of the remaining inventory was sold, to determine what percent of the total inventory was sold during the second day, we must perform the following calculations:
1/4 = 0.25 = 25%
Remaining = 100 - 25 = 75%
75/3 = 25 x 2 = 50
Thus, on the second day, 50% of the total computer inventory was sold.
2
The parabola y = x2 is scaled vertically by a factor of
3
What is the equation of the new parabola?
Answer:
Drop Out
Step-by-step explanation:
School Sucks
3=x2