If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?
2
3
5
6

The dimension of cone B is r = 4 and h = 9. Because the volume formula for a cone only considers the radius and height of the cone and not orientation, we know that cones B and A have the same volume.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Many forms have various volumes. In 3D geometry, we have examined the numerous forms and solids such as cubes, cuboids, cylinders, cones, etc., that are specified in three dimensions. We will discover how to find the volume for each of these forms.

The volume of the cone is given by:

Volume = (1/3)πr²h

For cone B:

48π = (1/3)πr² * h

144 = r² * h

Suppose the r = 4 and h = 9:

144 = 4² * 9

144 = 144

True.

The possible dimension of cone B is r = 4 and h = 9.

Because the volume formula for a cone only considers the radius and height of the cone and not its shape or orientation, we know that cones B and A have the same volume. We utilised this rule to get the potential values for cone B: any two cones with the same volume must have the same product of radius and height.

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Solution

For this case we have the following info:

Class 1: Total 18 students, 8 girls and 10 boys

Class 2: Total 17 students, 10 girls and 7 boys

The total of students are: 18+17 = 35

Total of boys: 10 + 7 = 17

Then the ratio of boys to the total number of students is given by:

r = 17/35

Answer:

d) x = 2

Step-by-step explanation:

3(x - 6) + 3 = -9

open the parenthesis

3x - 18 + 3 = -9

3x - 15 = -9

add 15 to both sides of the equation

3x - 15 + 15 = - 9 + 15

3x = -9 + 15

3x = 6

divide both sides by 3

3x/3 = 6/3

x = 6/3

x = 2

The value of x will be;

⇒ x = 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 (x - 6) + 3 = - 9

Now,

Since, The expression is,

⇒ 3 (x - 6) + 3 = - 9

Solve for x as;

⇒ 3x - 18 + 3 = - 9

⇒ 3x - 15 = - 9

⇒ 3x = 15 - 9

⇒ 3x = 6

⇒ x = 2

Thus, The value of x = 2

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the number of people who like both tea and cofee is 50

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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in 1952, when the federal communications commission lifted its ban on new television stations, there were  105 stations and 15 million households with television sets.

Here we need to complete the sentence in 1952, when the federal communications commission lifted its ban on new television stations, there were.

In this given question, the correct option is (A).

And the error in the sentence occurs at (A), here there is an improper idiom.

Basically the coordinating conjunction "and" requires parallel grammatical structures on either side of it, so the phrase "at nearly 35 million" should be "to nearly 35 million," to be parallel with the phrase that precedes "and" ("to almost 500").

Now, the corrected sentence is written as In 1952, when the Federal Communications Commission lifted its ban on new television station licenses, there were 105 stations and 15 million households with television sets, but by 1956 the number of stations had grown to almost 500 and the number of households with sets to nearly 35 million

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Step-by-step explanation:

1. Divide each term by  "a,"  and simplify.

c + b = d/a

2. Subtract "b"  from both sides of the equation.  

c = d/a - b

a) By looking at the picture, we can tell that the orange weighs 135 grams.

b) Now when we look at the picture, we see they have added an apple. The total weight is 250 grams. 250 grams - 115 grams, so the apple weighs 115 grams.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-4

Step-by-step explanation:

Answer:

3/5 = 0.6

1/4 = 0.25

7/8 = 0.875

Step-by-step explanation:

Hope this helps!

\(\\ \sf\longmapsto \dfrac{3}{5}\)

\(\\ \sf\longmapsto \dfrac{3(2)}{5(2)}\)

\(\\ \sf\longmapsto \dfrac{6}{10}\)

\(\\ \sf\longmapsto 0.6\)

#2

\(\\ \sf\longmapsto \dfrac{1}{4}\)

\(\\ \sf\longmapsto \dfrac{1(25)}{4(25)}\)

\(\\ \sf\longmapsto \dfrac{25}{100}\)

\(\\ \sf\longmapsto 0.25\)

#3

\(\\ \sf\longmapsto \dfrac{7}{8}\)

\(\\ \sf\longmapsto \dfrac{7(125)}{8(125)}\)

\(\\ \sf\longmapsto \dfrac{875}{1000}\)

\(\\ \sf\longmapsto 0.875\)

The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.

In mathematics, a ratio is a comparison of two or more numbers that demonstrates how large one number is relative to the other. The divisor or number that is dividing is known as the consequent, while the dividend or number being divided is known as the antecedent. A ratio divides two numbers to compare them.

Given that the Total number of athletes are 2+4+7+1+6+5+7+4+4+8+15+10

= 73

Ratio of 5:73 represent the athletes in a particular grade with specific games to total number of athletes in the school.

There are on one event is where 5 athletes are, that is 8th grade baseball players.

So the correct answer is The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.

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Answer:

Step-by-step explanation:

-(2.6m + 5) = -1(2.6m + 5) = -1•2.6m +(-1)•5 = -2.6m - 5

Answer:

If two of the angles are the same, the third angle is the same and the triangles are similar.

Step-by-step explanation:

If two of the angles are the same, the third angle is the same and the triangles are similar.

The total weight of the Empire State Building and the One World Trade Center building is \(8.18*10^{8}\) pounds in scientific notation.

The total weight of the Empire State Building and the One World Trade Center building can be calculated by adding their individual weights: \(7.3 *10^{8} + 88,200,000\)= \(7.3*10^{8} +8.82*10^{7}\).

Combining the terms, we get: \(7.3*10^{8} + 8.82*10^{7}\) = \(8.18*10^{8}\).

In scientific notation, the total weight of the two buildings is expressed as \(8.18*10^{8}\), where a = 8.18 and b = 8. So, the two buildings weigh approximately \(8.18*10^{8}\) pounds.

Scientific notation is a compact way of expressing very large or very small numbers by using powers of 10. The number is written as \(a*10^{b}\), where a is a number between 1 and 10, and b is the power of 10 used to express the magnitude of the number.

The weight of the Empire State Building is \(7.3*10^{8}\) pounds, which can be read as "7.3 times 10 raised to the power of 8." This means that the weight of the Empire State Building is 7.3 times 10 multiplied by itself 8 times, or 7.3 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 = \(7.3*10^{8}\) pounds.

Similarly, the weight of the One World Trade Center building is 88,200,000 pounds, which can be expressed as \(8.82 * 10^{7}\) in scientific notation.

Finally, to find the total weight of the two buildings, we simply add the weights: \(7.3*10^{8}+8.82*10^{7}\) = \(8.18*10^{8}\) pounds.

This notation makes it easier to perform calculations and comparisons with large numbers and to understand the magnitude of the numbers being represented.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The measures of the missing angles are given as follows:

First we consider that when two angles form a ray, they are supplementary, meaning that the sum of their measures is of 180º.

Then the measures of angles 3 and 5 are given as follows:

The sum of the internal angles of triangle is of:

S(3) = (3 - 2) x 180º = 180º.

Hence the measure of angle 4 is obtained as follows:

m < 4 + 36 + 56 = 180

m < 4 = 180 - (36 + 56)

m < 4 = 88º.

Angles 2 and 4 are congruent, hence the measure of angle 2 is given as follows:

m < 2 = m < 4 = 88º.

The sum of the internal angles of a quadrilateral is of:

S(4) = (4 - 2) x 180º = 360º.

Hence the measure of angle 1 is obtained as follows:

m < 1 + 88 + 144 + 124 = 360

m < 1 = 360 - (88 + 144 + 124)

m < 1 = 4º.

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All subjects or objects whose characteristics are being studied.

In statistics, a population consists of all subjects or objects whose characteristics are being studied. This means that a population can be defined as a group of individuals, objects, or events that have something in common.

For example, if you are conducting a survey on the opinions of people in a city, the population would be all the people living in the city. If you are studying the behavior of cats, then your population would be all cats. In short, the population is the group of individuals or objects that you are interested in studying.

In addition, the population can be further broken down into subgroups, such as males and females, different age groups, geographical regions, and so on. This is known as stratifying the population and can help researchers to better understand the characteristics of their population and make more accurate conclusions.

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Answer:

x=4

Step-by-step explanation:

Alright so for this one the following angles are corresponding meaning that the two equations are equal to each other. Knowing that you then have to set up an equation and the equation is 25x=4+24x. Now you wanna get the variable and the constant on different sides. To do this you subtract 24 from each side to get 1x=4. Then you divide each side by 1 to get x=4

The information provided is not sufficient to determine the area of the cone logo. The dimensions given do not form a clear shape or provide enough information to calculate the area accurately.

To calculate the area of a cone, we typically need the radius or diameter of the base and the slant height or height of the cone. However, the information provided in the question does not specify the dimensions of the cone logo clearly. The given measurements seem to be a mix of unrelated values and do not form a coherent shape.

Without a clear understanding of the dimensions of the cone logo, it is not possible to accurately calculate its area. To determine the area of a cone or any shape, we need the necessary measurements and geometric properties. It is important to have complete and accurate information in order to calculate the area of a shape correctly.

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Answer:

B. the points scored by a basketball player compared to his minutes played

Step-by-step explanation:

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

The definite integral is In = N/2 [1/(s-2) - 1/(s+2)] or equivalently, In = N/(s^2-4).

We can begin by substituting the given expression for sinh(2t) into the integral:

In = N∫0 e^−st sinh(2t)dt

= N∫0 e^−st (e^(2t) - e^(-2t))/2 dt

Using linearity of the integral, we can split this into two integrals:

In = N/2 ∫0 e^(-st)e^(2t) dt - N/2 ∫0 e^(-st)e^(-2t) dt

Simplifying the exponents, we get:

In = N/2 ∫0 e^((2-s)t) dt - N/2 ∫0 e^((-2-s)t) dt

Evaluating each integral, we get:

In = N/2 [(1/(2-s))e^((2-s)t)]0 + N/2 [(1/(-2-s))e^((-2-s)t)]0

Simplifying the constants, we get:

In = N/2 [1/(s-2) - 1/(s+2)]

Multiplying the numerator and denominator of the second term by (s-2), we can combine the terms:

In = N/2 [2/(s^2-4)]

Therefore, the definite integral is In = N/2 [1/(s-2) - 1/(s+2)] or equivalently, In = N/(s^2-4).

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Answer:

The distance is 6

Step-by-step explanation:

the absolute value of -10 is simply 10.

So when trying to find the distance between 10 and 16 simply subtract to find the distance.

Hope this helped, and have a great day

Yes, that is correct. The sides of an equilateral triangle inscribed in a circle are closer to the center of the circle than the sides of a square inscribed in the same circle.

This is because an equilateral triangle has all its vertices on the circumference of the circle, whereas a square has only four of its vertices on the circumference. As a result, the sides of the equilateral triangle are closer to the center of the circle than the sides of the square. This property of inscribed shapes is important in geometry and has many practical applications in fields such as architecture and engineering.

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Answer:

x = 6\(\sqrt{3}\)

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so

x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )

x = \(\sqrt{108}\) = \(\sqrt{36(3)}\) = \(\sqrt{36}\) × \(\sqrt{3}\) = 6\(\sqrt{3}\)

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.