Answer:
75% cotton
Step-by-step explanation:
3/4=75%
1/4=25%
total 100%
What is the L.C.M of 4,6and 3
Answer:
12
Step-by-step explanation:
12
For 3, 4 and 6 the smallest number which would be perfectly divisible by them is their LCM which is 12.
Have a nice day!
Answer:
12
Step-by-step explanation:
We want to find the least common multiple of 4,6,3
4:
4,8,12,16,20
6:
6,12,18,24
3:
3,6,9,12,15
The first number that appears in all 3 lists is 12
Riley wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 4.5% and the other bank is offering a rate of 4.5% compounded annually. Which is the better deal?
Which expression represents the total volume of the pictures shown if each cube has a side length of e?
Answer: I believe that you have to do e^3 to find the volume of a cube.
If you had the side, you would do a^3 (a stands for the side length)
In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order DE y' = y − y2. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(0)=-1/3
If y (0) = -1/3, then
-1/3 = 1 / (1 + C e ⁻⁰)
Solve for C :
-1/3 = 1 / (1 + C )
-3 = 1 + C
C = -4
So the particular solution to the DE that satisfies the given initial condition is
[tex]\boxed{y=\dfrac1{1-4e^{-x}}}[/tex]
8. What is the domain and range of the graph below?
Answer:
Domain: [-5, 4]
Range: [-5, 0] U (2, 4]
Step-by-step explanation:
The domain encompasses whatever the input (in this case, the horizontal values) can be and the range is what the output (in this case, the vertical values) can be.
As shown on the graph, all horizontal values including and between -5 and 4 are used on the graph. It does not matter that they are on two separate lines. Therefore, the domain is [-5, 4]. Note that the closed brackets signify that -5 and 4 are used
The y values used in the bottom line range from -5 to 0, and in the top one they range from 2 to 4 (not including the 2, as shown by the open circle). Therefore, the bottom range is [-5, 0] and the top range is (2, 4]. We can combine these to say the range is [-5, 0] U (2, 4]
use the figure to find x
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = (5/2)/x
x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1
x = 5
__
Additional comment
In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...
y = (5/2)√3
Find the equation of line b in slope-intercept form. Line a is parallel to line b. Line a passes through the points (1,8) and (2,-1), line b passes through the point (4,13)
9514 1404 393
Answer:
y = -9x +49
Step-by-step explanation:
The slope of line b is the same as the slope of line a. That can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -8)/(2 -1) = -9
The y-intercept can be found from the given point using the formula ...
b = y - mx
b = 13 -(-9)(4) = 13 +36 = 49
Then the slope-intercept equation of line b is ...
y = -9x +49
9. Which is a true statement about the denominator in a fraction?
(Select one answer)
It is always a negative number
It cannot be 0
It has to be an even number
It is always smaller than the numerator
Answer:
It cannot be 0
Step-by-step explanation:
it can also be positive number :2/4
it can be odd number too:3/9
it is bigger than numerator bcoz we have to divide it for numerator
So, 0 number cannot be put as denominator in fraction is true statement
In a process control study, the overall process average over 15 samples is 63.45 with an average corresponding range of 5.6. What is the lower control limit of the R-chart
Answer:
[tex]LCL=1.94[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=15[/tex]
Mean [tex]\=x=63.45[/tex]
Range [tex]R=5.6[/tex]
Generally at [tex]n=15[/tex]
Value of Control chart constant,
[tex]LCL=D*R[/tex]
Generally the equation for Lower Control Limit is mathematically given by
[tex]LCL=D*R[/tex]
[tex]LCL= 0.347*5.6[/tex]
[tex]LCL=1.94[/tex]
Find the intersection of the parabola y=-2x^2-4x+2 and the line -6x+y=14
Answer:
(-2,2) and (-3,-4)
Step-by-step explanation:
by graphing the line and parabola, you should get this graph
I WILL AWARD BRAINLIEST PLEASE HELP!!!
All the students in an English class complete a 25-point extra-credit assignment to raise their test scores. The new test score is 25 points more than the original score. Let x = original score Let y = new score Which equation represents this situation? A. y = 25x B. y = x – 25 C. y = x ÷ 25 D. y = x + 25
resolve 3x-1÷(x+1)^2 into partial fraction
9514 1404 393
Answer:
3/(x +1) -4/(x +1)^2
Step-by-step explanation:
The partial fraction expansion will be of the form ...
A/(x+1)^2 +B/(x+1)
We can find the values of A and B by writing the sum of these terms:
= (A +B(x +1))/(x +1)^2
Then we require ...
B = 3
A +B = -1 ⇒ A = -4
So, the desired expansion is ...
3/(x +1) -4/(x +1)^2
Find the Perimeter of the figure below, in inches
Answer:
117.8 in.
Step-by-step explanation:
To find the perimeter, add all the side lengths together. If we do that, we get 117.8 in, which is the answer.
if two of the three points (0,0) ,(2,3) (3,4) lie on one side and other on another side of line x-3y+3
Answer:
Opposite sides
Step-by-step explanation:
Given equation of line is
L=3x−2y+1=0
For the point (2,1), L=5>0
For the point (−3,5),L=−18<0
Opposite signs shows that the two points lies on the opposite side of the line L=0.
A ladder leans against the side of the a house. The ladder is 19 feet long and forms an angle of elevation of 75 degree when leaned against the house. How far away from the house is the ladder? Round your answer to the nearest tenth.
=============================================================
Explanation:
Focus entirely on the triangle on the right side. The other parts of the drawing are not necessary. In my opinion, they are distracting filler.
Refer to the diagram below.
We have an unknown adjacent side, let's call it x, that's along the horizontal part of the triangle.
The hypotenuse however is known and it is 19 ft
We use the cosine ratio to tie the two sides together
cos(angle) = adjacent/hypotenuse
cos(75) = x/19
19*cos(75) = x
x = 19*cos(75)
x = 4.9175618569479 which is approximate
x = 4.9
The base of the ladder is roughly 4.9 feet away from the base of the house.
Side note: make sure your calculator is in degree mode.
In the HANES5 sample, the average height of the boys was 137 cm at age 9 and 151 cm at age 11. At age 11, the average height of all the children was 151 cm.
a. On the average, are boys taller than girls at age 11?
b. Guess the average height of the 10-year-old boys.
Answer:
a) Average age of girls is also 151.
b) [tex]h_{10}=144cm[/tex]
Step-by-step explanation:
From the question we are told that:
Average height of the boys at age [tex]h_9= 137 cm[/tex]
Average height of the boys at age [tex]h_11= 151 cm[/tex]
a)
Since
The average height of all the children was 151 cm.
This implies that The average height of all children is 151
Therefore
Average age of girls is also 151.
b)
Assuming all factors being equal
Height of 10 year old boy
[tex]h_{10}=\frac{h_9+h_11}{2}[/tex]
[tex]h_{10}=\frac{137+151}{2}[/tex]
[tex]h_{10}=144cm[/tex]
Therefore my Guess is
[tex]h_{10}=144cm[/tex]
PLEASE HELP AND BE CORRECT BEFORE ANSWERING PLEASE AND THANK YOU
9514 1404 393
Answer:
6 units
Step-by-step explanation:
The dilation factor is 2, so the length of A'B' will be 2 times the length of AB.
AB can be seen to be 3 units, so A'B' will be 2×3 = 6 units.
20 points Surd question Work out the area of the triangle. ABC
Answer:
sqrt( 150)
Step-by-step explanation:
it can also be 5sqrt(6)
The solution is, the area of the triangle. ABC is 10 cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
from the given diagram, we get,
we have to find the area of the triangle. ABC
now, we have,
using the Pythagorean theorem, we get,
BD = √AB² - AD²
=√50 - 45
=√5
now, we know that,
area of triangle = 1/2 * base * height
= 1/2 * √5 * 4√5
= 10
Hence, The solution is, the area of the triangle. ABC is 10 cm^2.
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❤✔
PLEASE HELP ME MAKE SURE YOUR ANSWER IS RIGHT BEFORE ANSWERING
Answer:
Always. Always.
Step-by-step explanation:
All circles conform to the same equations such as using pie to calculate circumference. Unlike a rectangle, for example, all ratios used in a circle are the same.
Can anyone help me with this?
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
4[tex]\sqrt{7}[/tex] - 10[tex]\sqrt{7}[/tex] + 7[tex]\sqrt{7}[/tex] ( add the coefficients of the terms )
= (4 - 10 + 7) [tex]\sqrt{7}[/tex]
= 1[tex]\sqrt{7}[/tex]
= [tex]\sqrt{7}[/tex]
The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees
Answer:
90
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+x+10 +x+50 = 180
3x+60= 180
3x = 180-60
3x = 120
Divide by 3
3x/3 = 120/3
x = 40
The largest angle is
x+50
40+50 = 90
We have to,
find the measure of the largest angle.
Given that,
The angles in a triangle are represented by x, x+10, and x+50.
Let's start to solve,
→ x+ (x+10) + (x+50) = 180°
→ x + x + x = 180° (-50-10)
→ 3x = 180° -60
→ 3x = 120
→ x = 120/3
→ [x = 40°]
Then the value of x + 10,
→ x + 10
→ 40 + 10
→ 50°
Then the value of x + 50,
→ x + 50
→ 40 + 50
→ 90°
The measure of the largest angle is,
→ D. 90 degrees
Thus, option (D) is the correct answer.
What is the solution to the equation x^2 + 10x + 75 = 0?
Solve 3t + 2 = 5t - 4
Answer:
3
Step-by-step explanation:
3t + 2 = 5t - 4
3t - 5t = -4 - 2
-2t = -6
t = 6/2
t = 3
Answer:
t = 3
Step-by-step explanation:
3t + 2 = 5t - 4
3t - 5t = - 4 - 2
-2t = -6
(Cut those two -)
t = 6÷2
t = 3
Find the measure of c
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Answer:
140°
Step-by-step explanation:
The long arc intercepted by angle c is 360° -80° = 280°. The measure of inscribed angle c is half the measure of the arc it intercepts.
c = 280°/2 = 140°
sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose the height of the pile infcreases at a rate of 1cm/s when the pile is 12 cm hight. at what rate is the sand leaving the bin at that instant
Answer:
[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]
Step-by-step explanation:
From the question we are told that:
Rate [tex]\frac{dh}{dt}=1cm[/tex]
Height [tex]h=12cm[/tex]
Radius [tex]r=4h[/tex]
Generally the equation for Volume of Cone is mathematically given by
[tex]V=\frac{1}{3}\pi r^2h[/tex]
[tex]V=\frac{1}{3}\pi (4h)^2h[/tex]
Differentiating
[tex]\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}[/tex]
[tex]\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1[/tex]
[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]
Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two hour time intervals are shown in the table. Find lower and upper estimates for the total amount of oil that leaked out.
t (h) 0 2 4 6 8 10
r(t) (L/h) 8.8 7.6 6.8 6.2 5.7 5.3
V=_____ upper estimate
V= ______lower estimate
The exact amount of oil that leaks out for 0 ≤ t ≤ 10 is given by the integral,
[tex]\displaystyle\int_0^{10}r(t)\,\mathrm dt[/tex]
Then the upper and lower estimates of this integral correspond to the upper and lower Riemann/Darboux sums. Since r(t) is said to be decreasing, this means that the upper estimate corresponds to the left-endpoint Riemann sum, while the lower estimate would correspond to the right-endpoint sum.
So you have
• upper estimate:
(8.8 L/h) (2 h - 0 h) + (7.6 L/h) (4 h - 2h) + (6.8 L/h) (6 h - 4h) + (6.2 L/h) (8 h - 6h) + (5.7 L/h) (10 h - 8 h)
= (2 h) (8.8 + 7.6 + 6.8 + 6.2 + 5.7) L/h)
= 70.2 L
• lower estimate:
(7.6 L/h) (2 h - 0 h) + (6.8 L/h) (4 h - 2h) + (6.2 L/h) (6 h - 4h) + (5.7 L/h) (8 h - 6h) + (5.3 L/h) (10 h - 8 h)
= (2 h) (7.6 + 6.8 + 6.2 + 5.7 + 5.3) L/h)
= 63.2 L
3.) Determine the percent of change. Round to the
nearest whole percent if necessary. State whether the
percent of change is an INCREASE or DECREASE.
Original: $84
New: $100
Answer:
is 84
Step-by-step explanation:
why aronou much and yes so many sorry
A satellite orbits earth at a speed of 22100 feet per second (ft/s). Use the following facts to convert this speed to miles per hour (mph). 1 mile = 5280 ft 1 min = 60 sec 1 hour = 60 min
15,068 mi/hr
Step-by-step explanation:
[tex]22100\:\frac{\text{ft}}{\text{s}}×\frac{1\:\text{mi}}{5280\:\text{ft}}×\frac{60\:\text{s}}{1\:\text{min}}×\frac{60\:\text{min}}{1\:\text{hr}}[/tex]
[tex]=15,068\:\text{mi/hr}[/tex]
The speed of 22100 feet per second will be 15068.18 miles per hour.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Unit conversion is the expression of the same property in a different unit of measurement. Time, for example, can be expressed in minutes rather than hours, and distance can be converted from miles to kilometres, feet, or any other length measurement.
Given that the speed of the satellite is 22100 feet per second. The speed in miles per hour will be calculated as,
22100 ft /s = ( 22100 x 3600 ) / 5280
22100 ft/s = 79560000 / 5280
22100 ft/s = 15068.18 miles per hour
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Find the domain of fg. f(x) = x2 +1 g(x) = 1/x a. all real numbers c. all real numbers, except -1 b. all real numbers, except 0 d. all real numbers, except 1
Find the interest on the loan using the Banker's rule. P= $8550. r=8.8%, t= 105 days The interest on the loan using the Banker's rule is $
