y = .6x + 12 What are four coordinates

Answer:

the answer is

(4C3)*(4C2)/52C5

Answer:

The height of the cylinder is 4 x units.

The area of the cylinder’s base is One-fourthπx2 square units

Step-by-step explanation:

Formula for volume of the cylinder:

V = r² π h

Volume of the cylinder=

πx^3

Diameter=x

Radius (r)=diameter/2

=x/2

V = r² π h

πx^3=(x/2)^2πh

πx^3=(x^2/4)πh

Divide both sides by π

x^3=(x^2/4)h

Make h the subject of the formula

h=x^3÷x^2/4

=x^3×4 / x^2

=4x^3 / x^2

=4*x*x*x / x*x

h=4x

Area of the base:

B = r² π

Recall, r=x/2

B=(x/2)^2 * π

=(x^2/4)π

=πx^2/4

=1/4(πx^2)

The area of the cylinder’s base is One-fourthπx2 square units.

Answer:

B & E

Step-by-step explanation:

Edge 2020

Answer:

Step-by-step explanation:

28

Answer:28

Step-by-step explanation:

28-8

Answer:

9.5_<w<9.25

Step-by-step explanation:

The range of f is the set of all real numbers and the range of f would not change if the value of n is changed

The function is given as:

\(f(x) =\left \{ {{x - 1;\ \ x < n} \atop {- x + 4;\ \ x \ge n}} \right.\)

When n = 5, we have:

The domain of the function is:

x < 5 and x ≥ 5

This means that the domain is the set of all real numbers.

The function is a linear piece wise function, and the range of a linear function is the set of all real numbers.

Hence, the range of f is the set of all real numbers.

As stated in (a) the range of a linear function is the set of all real numbers.

This means that irrespective of the value of n; the range would remain the same

Hence, the range of f would not change if the value of n is changed

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The solution to the equation √x - 3 = 4 is x = 49. There are no extraneous solutions.

To solve the equation √x - 3 = 4, we can follow these steps:

1. Add 3 to both sides of the equation to isolate the square root term:

  √x - 3 + 3 = 4 + 3

  √x = 7

2. Square both sides of the equation to eliminate the square root:

  (√x)^2 = 7^2

  x = 49

So, the solution to the equation is x = 49.

To check for extraneous solutions, we need to substitute the obtained solution back into the original equation and verify if it satisfies the equation.

√(49) - 3 = 4

7 - 3 = 4

4 = 4

Since the equation is true when x = 49, there are no extraneous solutions.

Therefore, the solution to the equation √x - 3 = 4 is x = 49.

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Answer:

Angle one = 78°

Angle two = 102°

Step-by-step explanation:

180° - 24° = 156°

156° / 2 = 78°

78°+24° = 102°

The second angle can also be found by subtracting 78° from 180°

180° - 78° = 102°

Answer:

7.3

Step-by-step explanation:

Using the half-life formula,

\(30(1/2)^{200/98} \approx 7.3\)

Answer:

Slope is 5

Y-intercept is 35

Answer:

y=-16

Step-by-step explanation:

2(y-4)-5(y+8)=0  (distribute the 2 and the negative 5)

2y-8-5y-40=0   (combine like terms)

-3y-48=0    (add 48 to both sides)

-3y=48     (divide both sides by -3)

y=-16

Hope this helps :)

Let's call x the pure antifreeze in gallons. This means 4 + x represents the new quantity of pure antifreeze.

According to the problem, 25% of the solution represents 4 gallons and 50% of the solution represents the new quantity of antifreeze.

Based on the given information, we can express the following.

Let's solve for x.

Answer:

3) √60

Step-by-step explanation:

*NOTE- I don't know how to solve number 4 but hopefully number 3 is correct.

a^2+b^2=c^2

x= missing leg

hypotenuse=8

leg1= 2

x^2+2^2=8^2

x^2 + 4=64

x^2=60

x=√60 or 2√15

Answer:

b = 4a

Step-by-step explanation:

Given

a = \(\frac{1}{4}\) b

Multiply both sides by 4 to clear the fraction

4a = b

To solve the given initial-value problem using Laplace transform, we will first take the Laplace transform of the differential equation.

The Laplace transform of the second derivative of y with respect to t, denoted as Y'', can be found using the following property:    

L{y''(t)} = s² * Y(s) - s * y(0) - y'(0)  

Using this property, we can find the Laplace transform of the given differential equation:

s² * Y(s) - s * y(0) - y'(0) + 25 * Y(s) = L{cos(5t)}

Substituting the initial conditions y(0) = 2 and y'(0) = 3, and using the Laplace transform of cos(5t) from the table, we have:  

s² * Y(s) - s * 2 - 3 + 25 * Y(s) = s / (s² + 25)  

Simplifying this equation, we get:

(s² + 25) * Y(s) = s³ - 3s + 2s + 25

(s² + 25) * Y(s) = s³ - s + 25

Now, solving for Y(s), we have:

Y(s) = (s³ - s + 25) / (s² + 25)

To solve the given initial-value problem, we used the Laplace transform of the differential equation. Taking the Laplace transform of the equation involves applying the Laplace transform to each term in the equation and using the properties of the Laplace transform.
In this case, we applied the Laplace transform to the second derivative of y, denoted as Y''(s), using the property

L{y''(t)} = s² * Y(s) - s * y(0) - y'(0),

where Y(s) represents the Laplace transform of y(t).

After substituting the initial conditions y(0) = 2 and y'(0) = 3, and using the Laplace transform of cos(5t) from the table, we simplified the equation and solved for Y(s) as

(s³ - s + 25) / (s² + 25).

The Laplace transform of the given initial-value problem is

Y(s) = (s³ - s + 25) / (s² + 25).

This is the solution of the initial-value problem in terms of the Laplace transform variable s.

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Some alkenes have geometric cis-trans isomers because of the presence of a double bond between two carbon atoms. In a carbon-carbon double bond, the carbon atoms are connected to two different groups of atoms, which can be oriented differently in space. In the cis configuration, the two substituent groups on each carbon atom are on the same side of the double bond, while in the trans configuration, the two substituent groups on each carbon atom are on opposite sides of the double bond.

The cis-trans isomerism arises due to the restricted rotation around the carbon-carbon double bond. In the case of cis isomers, the substituent groups are too bulky to rotate around the double bond, and they remain on the same side of the double bond. In contrast, in the trans isomers, the substituent groups are oriented on opposite sides of the double bond, which allows them to rotate freely around the bond.

The presence of cis-trans isomers has important consequences for the physical and chemical properties of alkenes, including their reactivity, solubility, and melting points. The two isomers can have different properties and can exhibit different biological activities, making them important targets for drug design and synthesis.

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The trigonometric function tan(cos⁻¹(x/4))  evaluates to √(16 - x²) / x

To evaluate a trigonometric function?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Given the trigonometric function tan(cos⁻¹(x/4)) to evaluate:

tan(cos⁻¹(x/4))

Let θ = cos⁻¹(x/4)

Thus,  cos θ = (x/4)       (remember: cos θ = adjacent/hypotenuse)

We can use this information to draw a right-angled triangle as shown (image attached). Considering the triangle:

4² = x² + y²

y² = 16 - x²

y = √(16 - x²)

That means, the opposite is y = √(16 - x²)

tan θ = y/x = √(16 - x²) / x    (Since tan θ = opposite/adjacent)

tan(cos⁻¹(x/4)) = √(16 - x²) / x

Therefore, tan(cos⁻¹(x/4)) evaluates to √(16 - x²) / x

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Hypothesis: If two angles are congruent.

Conclusion: Then they have the same measure.

The hypothesis states that if two angles are congruent, which means they are identical in shape and size, then the conclusion is that they have the same measure. In other words, when two angles are congruent, their measures are equal.

Angles are typically measured in degrees or radians. When we say that two angles are congruent, it implies that the measures of those angles are the same. This can be understood through the transitive property of congruence, which states that if two angles are congruent to a third angle, then they are congruent to each other.

For example, if angle A is congruent to angle B, and angle B is congruent to angle C, then it follows that angle A is congruent to angle C. This implies that the measures of angle A and angle C are equal, as congruent angles have the same measure.

In conclusion, the hypothesis that if two angles are congruent implies that they have the same measure is valid and supported by the principles of congruence and the transitive property.

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Option C is correct: The sampling distribution will remain Normal and the mean will remain the same, regardless of the sample size, but its standard deviation will be smaller than the sampling distribution based on the smaller sample.

The central limit theorem states that as the sample size increases, the sampling distribution of the sample means becomes more normally distributed, with a smaller standard error. The shape of the distribution is still Normal, but the standard deviation becomes smaller. The standard deviation is inversely proportional to the square root of the sample size. As a result, as the sample size grows, the standard deviation of the sampling distribution decreases.

The larger the sample size, the smaller the standard deviation of the sample mean is, assuming the population standard deviation is constant. The mean of the sample remains unchanged. Therefore, c) the sampling distribution will remain normal, and the mean will stay the same regardless of the sample size.

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Answer: B. 45

Step-by-step explanation:

Answer:

b 45

Step-by-step explanation:

Answer:

$16152.5 0

Step-by-step explanation:

The volume of the cube expressed as a fraction will be 27x³y³ / 64.

Given that:

Volume, V = (0.75xy)³

It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The volume of the cube expressed as a fraction is calculated as,

V = (0.75xy)³

V = (3xy/4)³

V = 27x³y³ / 64

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Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!

Answer:

33. numbers are being increased by a certain number, that number being increased by 2 every time

Step-by-step explanation:

The percentage change in productivity for this worker is -5.9%.

Productivity is the amount of goods and services produced by a worker in a given amount of time.

A worker produced 79 units of output in 38 hours. The previous week, the same worker produced 75 units in 34 hours.

Let's determine the productivity of the worker each week.

Step 1: Calculate productivity of the worker in the first week (week 1)

Productivity in week 1 = Total output produced / Number of hours worked

= 75 units / 34 hours

= 2.21 units per hour

Step 2: Calculate productivity of the worker in the second week (week 2)

Productivity in week 2 = Total output produced / Number of hours worked

= 79 units / 38 hours

= 2.08 units per hour

Step 3: Determine the percentage change in productivity

Percentage change = ((New value - Old value) / Old value) x 100%

Where,Old value = Productivity in week 1New value = Productivity in week 2

Substituting the values,Percentage change = ((2.08 - 2.21) / 2.21) x 100%

                                                                        = (-0.059) x 100%

                                                                        = -5.9%

Therefore, This employee's productivity has decreased by -5.9% as a whole.The negative sign indicates a decrease in productivity.

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Answer:

The answer is 22.

Step-by-step explanation:

dklecmmkek

Among the given options, the closest value to 4.72 square inches is option B: 3.93 in². Therefore, the correct answer is B. 3.93 in².

To find the surface area of the capsule, we need to consider the surface area of the cylinder and the two hemispheres.

Let's calculate the surface area of each component:

Surface area of the cylinder:

The formula for the surface area of a cylinder is given by 2πrh, where r is the radius of the cylinder and h is the height.

In this case, the radius of the cylinder is half of the diameter of the hemispheres, which is 0.5 inches/2 = 0.25 inches.

Since the height of the cylinder is equal to the diameter of the hemispheres, it is also 0.5 inches.

Therefore, the surface area of the cylinder is 2π(0.25)(0.5) = 0.5π square inches.

Surface area of each hemisphere:

The formula for the surface area of a hemisphere is given by 2πr^2, where r is the radius of the hemisphere.

In this case, the radius of the hemisphere is 0.25 inches.

Therefore, the surface area of each hemisphere is 2π(0.25)^2 = 0.5π square inches.

Since the capsule has two identical hemispheres, we need to consider their total surface area, which is 2 times the surface area of one hemisphere. So, the total surface area of the hemispheres is 2(0.5π) = π square inches.

To find the total surface area of the capsule, we add the surface area of the cylinder and the total surface area of the hemispheres:

Total surface area = Surface area of the cylinder + Total surface area of the hemispheres

Total surface area = 0.5π + π

Total surface area = 1.5π square inches.

Now, we can approximate the value of π to the nearest hundredth, which is 3.14.

Total surface area = 1.5(3.14) = 4.71 square inches.

Rounding the answer to the nearest hundredth, we get 4.71 square inches, which is approximately equal to 4.72 square inches.

Among the given options, the closest value to 4.72 square inches is option B: 3.93 in².

Therefore, the correct answer is B. 3.93 in².

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Correct Answer are (a) The weight of the smaller sphere is 1.125 pounds.(b) The volume of the pyramid is 7.347 x 10^6 cubic feet.(c) The length of the edges of the cube is 503.98 feet.

(a) A large flawless crystal ball weighs 81 pounds and is 54 inches in diameter. What is the weight of a crystal ball 18 inches in diameter? (Note that the balls are completely made out of crystal.)

The relationship between the weight of a sphere and its diameter is the cube of the ratio of the diameters, since mass is proportional to volume and volume is proportional to the cube of the diameter. Thus, the weight of the crystal ball with a diameter of 18 inches is (18/54)³ x 81 pounds = (1/8)³ x 81 pounds = 1.125 pounds. Therefore, the weight of the smaller sphere is 1.125 pounds.

(b) A very large pyramid is 151f tall and covers an area of 34 acres. Recall that an acre is 43,560f². What is the volume of the pyramid?

The area of the base of the pyramid is 34 x 43,560 square feet = 1,481,040 square feet. If we let B denote the area of the base, we have that the volume of the pyramid is (1/3)Bh, where h is the height of the pyramid. Substituting the given values, we have (1/3)(1,481,040 square feet)(151 feet) = 7.347 x 10^6 cubic feet. Therefore, the volume of the pyramid is 7.347 x 10^6 cubic feet.

(c) An airplane factory has as its headquarters a very large building. The building encloses 125 million cubic feet and covers 55 acres. What is the size of a cube of equal volume?

Since volume of the building is 125 million cubic feet, and since the volume of a cube is s³, where s is the length of one of its edges, the length of one of the edges of a cube of equal volume to that of the building is the cube root of 125 million, or (1.25 x 10^8)^(1/3) cubic feet. Therefore, the length of one of the edges of the cube is 503.98 feet, approximately. Therefore, the length of the edges of the cube is 503.98 feet.

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Answer:

acute angle is less than 90, so we have 4 acute angles between the inner lines. Also we have 3 more acute angles combining the above angles. So the total will be 7 acute angles.Nov 9, 2016

Answer:

35.66 Mph

Step-by-step explanation:

If I'm correct, how much faster means subtracting which means you should do 74.56 mph minus 38.9 mph which gets you 35.66 mph.