The composition of a US dollar bill is 3/4 cotton and 1/4 linen. What percent of a dollar bill is cotton?

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.

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]

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.

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]

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

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

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.

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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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.

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]

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

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]

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)

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

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

Answer:

(-2,2) and (-3,-4)

Step-by-step explanation:

by graphing the line and parabola, you should get this graph

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]

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.

Answer:

is 84

Step-by-step explanation:

why aronou much and yes so many sorry

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.

9514 1404 393

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°

=============================================================

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.

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]

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

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

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.

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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