Diana has 1 square yard of fabric she will make one pillow that requires 3/8 square yard of fabric and another pillow that requires 2/8 square yard of fabric Diana uses the equations shown below to explain her process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left

Hello,

\((211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\\)

x=3

Answer:

–9xy2 – 6x2y + 5x3

–9xy2 – 6x2y – 5x3

9xy2 + 6x2y + 5x3

9xy2 – 6x2y + 5x3

the answer is 9xy2 – 6x2y + 5x3

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

1+1=2 but  if it is 2+2 then it would = 4

The null hypothesis is that the proportion of people who would still vote for the government of Preon is still 67%, while the alternative hypothesis is that the proportion has changed from 67%.

The null hypothesis (H0) is that the proportion of people who would still vote for the government of Preon is still 67%, as it was at the last election.

The alternative hypothesis (H1) is that the proportion of people who would still vote for the government of Preon has changed from 67%, either increased or decreased.

In symbols, this can be written as:

H0: p = 0.67

H1: p ≠ 0.67

Where p is the proportion of people who would vote for the government of Preon in the upcoming election.

Note that the alternative hypothesis is two-tailed, indicating that the proportion could have either increased or decreased from 67%.

This is because the government suspects that their approval rating may have changed in either direction.

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Parentheses are employed to indicate changes to the usual order of operations.

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

{}, [] are other type of brackets.

In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.

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Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

8

Step-by-step explanation:

First, you want to substitute your a, b, c, and d, which you would get 3(2) + 3(8) divided by sign 2 - 2(5). According to PEMDAS, we will multiply our numbers in the parenthesis with the outside number next to it, so you should have gotten 6 + 24 divided by sign 2 - 10. Next, you will divided 24 by 2 to get 12, so the equation will now look like 6 + 12 - 10. Finally, just work it out 6 + 12 is 18 minus 10, is 8. I hope this helps :)

Answer:

Answer is 18

Step-by-step explanation:

a2+3b/c-2d

when

a=3

b=8

c=2

d=5

2*3+3*8/2-2*5

6+24/2-10

6+12-10

18-10

8. answer

Rays AB and BE are part of line BE.

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

To find the rays which are part of line BE.

Here,, By figure, we have;

Rays AB and BE are part of line BE.

Thus, Rays AB and BE are part of line BE.

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Answer:

\(\displaystyle \frac{dS}{dt}=\frac{3}{50r}\)

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt  = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

\(\displaystyle V=\frac{4}{3}\pi r^3\)

Therefore:

\(\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}\)

Next, the surface area of a sphere S is given by:

\(\displaystyle S=4\pi r^2\)

Therefore:

\(\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}\)

We can divide both sides by 2:

\(\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}\)

We can substitute this into dV/dt. Rewriting:

\(\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)\)

So:

\(\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}\)

Since dV/dt = 0.03 or 3/100:

\(\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}\)

Therefore:

\(\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)\)

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

Answer:

Step-by-step explanation:

Givens

V = 75716

pi = 3.14

r = ?

Formula

V =  (4/3) pi * r^3

Solution

75716 =  (4/3) * 3.14 * r^3              Multiply both sides by 3/4

75716 * 3/4 = 3.14 * r^3

56787 = 3.14 r^3                           Divide by 3.14

56787 / 3.14 = 3.14 * r^3/3.14

18085 = r^3

∛18985 = ∛ r^3

r = 26.25

The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (10.1 - 12.5) / 2.4

z = -1.00

Using the empirical rule, we know that approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).

From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.

Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

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Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

If a lawn sprinkler sprays water 7 feet in every direction as it rotates, the area of the watered lawn is approximately 153.94 square feet.

Assuming the sprinkler is placed at the center of the lawn, the area of the watered lawn can be found by calculating the area of a circle with a radius of 7 feet. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Plugging in the given value of the radius, we get:

A = π(7 feet)^2

A = 153.94 square feet (rounded to two decimal places)

It's important to include the correct unit of measure, which is square feet in this case, to avoid confusion.

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Answer:

I CANT SEE SRY

Step-by-step explanation:

The amplitude of the graph of a sine function is 2.

Given is sinusoidal function, we need to find the amplitude of the function.

We know,

The amplitude of the graph of a sine function is the vertical distance from the top of a peak to the center line.

This is the same as the vertical distance from the top of a peak to the lowest point on the graph, divided by 2.

The vertical distance = 8

Amplitude = 8

Hence the amplitude of the graph of a sine function is 2.

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Answer:

The answer is A

Step-by-step explanation:

105+90=5x-70

195+70=5x-70+70

\( \frac{265}{5} = \frac{5x}{5} \)

53=x and then when you insert to in the formula 5(53)-70 you get 195

and 105+90 is also equal to 195

Youre welcome!

The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.

As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.

In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]

D is the distance to the horizon

R is the radius of the earth

h is the height above sea level of the observer in meters.

The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.

Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles

Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.

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By applying the law of cosine, the length of side BM is equal to 7.05 cm..

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Note: The number of sides (n) of a pentagon is 5.

In Geometry, the interior angle of both a regular and irregular polygon is given by this formula:

Interior angle = 180 × (n - 2)/n

Interior angle = 180 × (5 - 2)/5

Interior angle = 180 × 3/2

Interior angle = 108°.

For the central angle, we have:

Central angle, O = 360/5

Central angle, O = 72°.

By applying the theorem of intersecting secants, angle OCB will be given by this formula:

<OCB = ½ × (180 - 72)

<OCB = ½ × 108

<OCB = 54°.

In order to determine the length of side BM, we would apply the law of cosine:

cos(θ) = Adj/Hyp

cos54 = BM/12

BM = 12 × cos54

BM = 12 × 0.5878

Side BM = 7.05 cm.

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Answer:

8:10 is LESS than 13:15

Step-by-step explanation:

8:10 = 80%

13:15 = 86.7%

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,

2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

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Circle O is represented by the equation (x+7)² + (y + 7)² = 16. The length of the radius of Circle O is 4.

The equation of Circle O, (x+7)² + (y+7)² = 16, is in the standard form of a circle equation: (x - h)² + (y - k)² = r². Comparing it to the given equation, we can determine the values of h, k, and r.

In the given equation:

Center coordinates: (-7, -7) → h = -7, k = -7

Radius squared: 16 → r² = 16

To find the length of the radius, we need to take the square root of r²:

r = √(16)

Calculating the square root, we get:

r = 4

Therefore, the length of the radius of Circle O is 4.

Looking at the answer options, we see that the correct answer is Option B which is equal to 4.

The equation of a circle in the standard form (x - h)² + (y - k)² = r² represents a circle with center (h, k) and radius r. By comparing the given equation to the standard form, we can extract the values of h, k, and r. Taking the square root of r² gives us the length of the radius, which in this case is 4.

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Step-by-step explanation:

Statements / reasons:

Statement 1 >> RS ≅ UT            Reason 1 >> Given

Statement 2 >> RT ≅ US           Reason 2 >> Given

Statement 3 >> TS ≅ TS            Reason 3 >> Common side

Statement 4 >> ΔRST≅ΔUTS    Reason 4 >> SSS theorem

Answer

33

Step-by-step explanation:

11 of the faces is a square.

\begin{aligned} \text{Area of a square} &= \text{side} \cdot \text{side}\\\\ &= 3 \cdot 3\\\\ &= {\blueD{9}} \\\\ \end{aligned}

Area of a square

​

=side⋅side

=3⋅3

=9

​

Hint #22 / 4

444 of the faces are triangles. Each triangle has the same base and height.

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 4\\\\ &= 6 \\\\ \end{aligned}

Area of a triangle

​

=

2

1

​

⋅base⋅height

=

2

1

​

⋅3⋅4

=6

​

The total area of these 444 triangles is 4 \cdot 6 = \greenD{24}4⋅6=244, dot, 6, equals, start color #1fab54, 24, end color #1fab54.

Hint #33 / 4

Let's add the areas we found to find the surface area.

\begin{aligned} \text{Surface area} &= \blueD{9}+ \greenD{24}\\\\ &= 33\\\\ \end{aligned}

Surface area

​

=9+24

=33

​

Hint #44 / 4

The surface area of this square pyramid is 333333 units^2

2

squared.

Answer:

B. card I'' increased by 1.2986 = 13 more than card H's

Step-by-step explanation:

the form of the unit step response is found by applying the inverse Laplace transform to the Y(s) expression, the steady-state response is a constant value, and the time to reach the steady state depends on the settling time of the system.

The form of the unit step response of the given model can be determined by finding the steady-state response and the time it takes to reach the steady state. Here's a step-by-step explanation:

Identify the model: The given model is a second-order differential equation represented as:
2y'' + 5y' + 625y + 4108 dy + 1.1202 x 104 - 5 x 104 f(t) = 0

Determine the Laplace transform of the given model:
Taking the Laplace transform of the given equation, we get:
2s^2Y(s) + 5sY(s) + 625Y(s) + 4108 Y'(s) + 1.1202 x 10^4 - 5 x 10^4 U(s) = 0

Solve for Y(s):
Y(s) = [5 x 10^4 U(s) - 1.1202 x 10^4] / (2s^2 + 5s + 625 + 4108s)

Apply the Inverse Laplace Transform:
To find the unit step response, we apply the inverse Laplace transform to Y(s) and obtain y(t).

Determine the steady-state response:
The steady-state response is the value of y(t) as t approaches infinity. As the given model is a second-order system, the steady-state response will be a constant value.

Determine the time to reach the steady state:
The time it takes to reach the steady state depends on the settling time, which is related to the damping ratio and natural frequency of the system. These values can be determined from the coefficients of the given model.

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Answer:

$3

Explanation:

• Let the cost of a snack = x

Each ride ticket costs $1.50 less than a snack, therefore:

• The cost of a ride ticket = $(x - 1.50)

Since Marsha spent a total of $24.00, we have:

We then solve for x.

The cost of each snack is $3.

When firing a handgun , you should hold the handgun (d) at arm's length , from the body .

When firing a handgun, it is recommended to hold it at arm's length, from your body. This allows for proper control and aim of the firearm, as well as providing a buffer between you and the potential dangers of the discharge.

Holding the handgun too close to your body can also interfere with accuracy and control, as your arms may obstruct the movement of the gun. It's important to follow manufacturer guidelines and seek proper training and follow all safety procedures when handling handgun to ensure responsible and safe use.

The given question is incomplete , the complete question is

When firing a handgun, how far should you hold it from your body?

(a) 9 inches

(b) one foot

(c) eighteen inches  

(d) at arm's length

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