Consider the sequence:
4, 12, 20, 28, 36, 44, 52,...
Find the nth term of the sequence.

Answer:

8x+4=17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry but there isn't a picture here

Similarity is the mathematical property of triangles. Two triangles are called similar if they fulfil wither of the properties: Angle Angle, wherein two angles should be congruent; Side Angle Side, wherein two sides are similar to each other and the angles congruent to each other; and Side Side Side, wherein three sides are similar to each other in ratio.

The triangle ABC and triangle EDF are similar.

The first property is angle,

∠BAC = ∠EDF = 65°

The second property is also angle.

∠ABC = ∠DEF = 48° (∠DEF = 180 - 65 - 67)

Thus, the three angles are same or congruent.

The AA property of similarity makes the two triangles ABC and DEF similar. The option 1 is correct.

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Answer: 18 horses and 16 chickens

Step-by-step explanation:

horses = h , chickens = c

h + c = 34

4h + 2c = 104, or simplified, 2h + c = 52

Now we just use systems of equations to solve. I will subtract the second equation from the first.

(2h + c = 52) -

(h + c = 34)

so simplified, our system becomes h = 18. Therefore, there are 18 horses. Now we can plug this value into h for any of the equations to get c, the amount of chickens.

18 + c = 34

c = 16.

Therefore, there are 18 horses and 16 chickens.

Answer: Your answer is 1/3(b-21), aka the first answer slot

Step-by-step explanation: If we factor 1/3b-7, the common factor is 1/3. by this knowledge, we put 1/3(b-7/1/3), and 7/1/3 = 7x3 which is 21. So we simplify and get the answer
1/3(b-21)

The true statement about a histogram is A. A peak is a higher bar than the other bars around it.

A histogram is a pictorial representation of data using vertical bars of equal width but different heights with no spaces between the bars.

Histograms are graphical representations of the frequency of numerical data using rectangular bars.

The height of the histogram represents the frequency of the variable of interest.

A Histogram as a graph shows the distribution frequency of continuous data, making it easier to interpret.

Histograms summarize and provide a visual interpretation and comparison of data.

Thus, the highest bar in height represents the peak; therefore, Option A is correct since Options B, C, and D do not refer specifically to a histogram.

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Answer:

89.102 dollar

Step-by-step explanation:

let x be the total amount of bill

77.48 ×15% =11.622

11.622 is the additional tip

x=original cost +additional tip

=77.48+11.622

=89.102 dollar

Answer:

In order to find when the two trains will meet up, we can use the concept of relative speed. The relative speed of two trains is the sum of their individual speeds.

In this case, the relative speed is 30 + 50 = 80km/h

Since we know that the distance between London and Bristol is 100km, we can divide the distance by the relative speed to find the time it takes for the two trains to meet up:

100km / 80km/h = 1.25 hours

So, the two trains will meet up in 1.25 hours

Answer:

1 hour 15 minutes

Step-by-step explanation:

Relative Speed

If the two objects are moving in the opposite direction at different speeds, relative speed is the sum of their two speeds:

Using the formula:

[tex]\boxed{\sf Time=\dfrac{Distance}{Speed}}[/tex]

Therefore:

[tex]t=\dfrac{d}{v_1+v_2}[/tex]

where:

Given:

Substitute the given values into the formula to find the time at which the two trains meet:

[tex]\implies t=\dfrac{100}{30+50}=\dfrac{100}{80}=1.25\; \sf hours=1\; hour\;15\;mins[/tex]

Therefore, the two trains meet at 1 hour 15 minutes.

The result of the expression 3(x + 2)² - 4 is equivalent to 44.

        [tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]

Given is the equation as -

(x + 2) = 4

We have to find the result of -

3(x + 2)² = 4

It is given that -

(x + 2) = 4

So, we can write -

3 x 4 x 4 = 4

48 - 4

44

Therefore, the result of the expression 3(x + 2)² - 4 is equivalent to 44.

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{Question in english -

If (x+2)=4 what is the result of 3(x+2)^2=4}

The obvious conclusion from this question is that. C. if you are not a baby, then you are not despised.

Logic can be defined as the study of rational thinking. It contains both formal and informal logic. Deductively sound inferences or logical truths are studied in formal logic. It is a formal science that examines the topic-neutral ways in which conclusions flow from premises. As opposed to informal logic, which is connected to argumentation theory, critical thinking, and informal fallacies, formal logic is a branch of logic.

Philosophy, mathematics, computer science, and linguistics are just a few of the disciplines where logic is crucial. A set of premises and a conclusion make up an argument, which is the subject of logic. Arguments can be proven right or wrong. If the premises of an argument support the conclusion, then it is valid.

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The number of three digit number formed are-

Repetition allowed = 125

Repetition not allowed = 60

A combination is an algebraic technique for determining the number of distinct arrangements in a set of items in which the sequence of the selection is irrelevant.

here, we have,

You can choose the items in either order in combinations. Permutations and combinations are often confused.

For the given question;

The three digit number is to be formed.

The digits are given as-  1,2,6,7,8

Case 1: Repetition allowed

The number of combination will be;

= 5×5×5

= 125

Thus, the number of three digit number formed with repetition is 125.

Case 2: Repetition not allowed

The number of combination will be;

= 5×4×3

= 60

Thus, the number of three digit number formed with without repetition is 125.

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Answer:

The third option.

Step-by-step explanation:

Lets write the length as L and the width as W.

Given, L = W - 4

or L - W = - 4

Perimeter of a rectangle = 2( L + W)

44 = 2 (L + W)

L + W = 22

L - W = -4

2L = 18 (adding the two equations)

L = 9

W = 13

So, the answer is the third option.

Cheers

Answer:

Step-by-step explanation:

Let x be the amount invested in the 6% account.

Since he invested twice as much in the lower-yielding account, the amount invested in the 10% account is 2x.

We know that the annual interest is $3080 dollars, and the interest is calculated on the invested amount at each rate.

The interest in the 6% account is (6/100) * x = 3/50 * x

The interest in the 10% account is (10/100) * 2x = 1/10 * 2x

The total annual interest is 3/50x + 1/102x = 3/50x + 1/5x = (3+1)/5x = 4/5x

Therefore, we can write the equation:

4/5*x = 3080

To find x, we can divide both sides by 4/5:

x = 3080*5/4

x = $2310

So, the man invested $2310 in the 6% account and $2310*2 = $4620 in the 10% account.

Answer:

cos X = 3/5

Step-by-step explanation:

Cosine is a ratio. The side (leg) adjacent to Angle X is the side (leg) next to the angle. The hypotenuse is the longest side.

Cosine is the ratio of the Adjacent side /Hypotenuse.

In this image,

cos X = adj/hyp

cos X = 15/25

cos X = 3/5

cos X = 3/5

(Like the weird wording in the question:

3 fifths)

Answer:

it is 4

Step-by-step explanation:

the slope is always the number before x and so since 4 is before x then 4 is the answer

Answer:

To find out how many batches of cookies the factory made, we need to divide the total amount of flour used (7 1/2 bags) by the amount of flour used per batch (3 3/4 bags).

We can start by converting 7 1/2 bags of flour to a mixed number: 7 1/2 bags = 7 + 1/2 = 7.5 bags

Next, we can convert 3 3/4 bags of flour to a mixed number: 3 3/4 = 3 + 3/4 = 3.75 bags

Then, we can divide the total amount of flour used by the amount of flour used per batch:

7.5 bags / 3.75 bags/batch = 2 batches

Therefore, the factory made 2 batches of cookies yesterday

Answer:

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

Given equation:

In order to solve it by graphing, plot two lines:

The solution is the x-coordinate of the intersection of the lines:

See the attached

Given equation:

Similar to the previous question, plot the lines and take the x-coordinate of the intersection as solution.

The solution is x = 1.

See the attached.

= 4a + 4b

Answer:

[tex] \sf \: 4a + 4b [/tex]

Step-by-step explanation:

Given expression,

→ 4(a + b)

Let's simplify the expression,

→ 4(a + b)

→ 4(a) + 4(b)

→ (4 × a) + (4 × b)

→ 4a + 4b

Hence, the answer is 4a + 4b.

There are 28 ways of choosing three points from the grid below, so that they form an isosceles right triangle.

A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.

The grid figure is given in the attached image.

The given image displays seven triangles (counting the original 2).

There can be 7 x 4 = 28 isosceles right triangles,

since each has degree 4 rotational symmetry around the figure's center.

The complete figure is given in the image.

Therefore, there are 28 ways of choosing three points from the grid below.

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Answer:The most general form of a polynomial function of degree n that has real coefficients is:

f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0

where a_n, a_{n-1}, ..., a_1, a_0 are real numbers, and a_n is not equal to zero.

The number of distinct roots of a polynomial function of degree n can be determined using the fundamental theorem of algebra, which states that a polynomial function of degree n has exactly n roots, counting multiplicities. This means that a polynomial function of degree n can have n distinct roots, n-1 distinct roots, or any integer value in between, depending on the multiplicities of the roots.

Using the factor theorem, it is possible to determine the number of distinct roots of a polynomial function by factoring it into its irreducible factors. If the polynomial function is fully factored, the number of distinct roots is equal to the number of irreducible factors.

However, the nature of the roots (real or complex) and constraints imposed by the discriminant are also important to consider. The discriminant of a polynomial function is the value of the expression b^2-4ac, where a, b, and c are the coefficients of the polynomial function in the form f(x) = ax^2+bx+c. The discriminant determines the nature of the roots of the polynomial function. If the discriminant is positive, the roots are real and distinct. If the discriminant is zero, the roots are real and repeated. If the discriminant is negative, the roots are complex and non-real.

So, the most general form of a polynomial function of degree n that has real coefficients, can be determined by the form of the polynomial, the number of distinct roots by the fundamental theorem of algebra, by factoring the polynomial into its irreducible factors and the nature of the roots is determined by the discriminant.

Step-by-step explanation:

The study of choices people make to fulfill their unlimited needs and want even though there are limited resources is called Economics. Thus option A is correct.

Resources can be defined as the means through which the material is provided to people. This will be to know that the resources are properly allocated.

An economy is a region where products and services are produced, distributed, traded, and consumed. a social domain that places an emphasis on production-related practices, discourses, and material expressions. The factors that affect production, such as land, cash, labor, and natural facilities, are governed by economic structures.

Therefore, option A is the correct option.

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Answer:

2.4375 pounds

Answer:

2

Step-by-step explanation:

To find the approximate annual growth rate of the stock, we can use the formula for compound annual growth rate (CAGR):

CAGR = (Ending value / Beginning value)^(1/n) - 1

Where n is the number of years.

In this case, the beginning value is $2545.30, the ending value is $4152.57 and the number of years is 6.

So, CAGR = (4152.57 / 2545.30)^(1/6) - 1

The CAGR is approximately 26.8% which is the answer 2.

Grayson can spend a maximum of 3 hours, h, watching television on the weekend, and is shown in the number line.

Numbers on a straight line are represented graphically as a number line. For comparing and sorting numbers, it serves as a reference. Including all whole numbers and natural numbers, it can be used to represent any real number.

Just to refresh your memory, the natural number is the collection of all counting numbers, i.e. 1, 2, 3, 4, 5, 6, while the whole number is a set of numbers that includes both zero (0) and all counting numbers.

Compare numbers more easily by writing them on a number line. The integers in the above figure are smaller on the left than they are on the right, as can be seen.

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Grayson is only permitted to watch television for a total of three hours on the weekends. 8-10. 5-5, 5-6 7.5-6

[Time = Distance Speed] is the formula for calculating time. The time formula can be changed to [Distance = Speed Time] to compute distance. Find the vertex of the parabola given a generalised quadratic function. Find a, b, and c. By changing a and b into h=-b2a, you can determine h, the vertex's x-coordinate. By evaluating k=f(h)=f(b2a), you may determine k, the vertex's y-coordinate.

In order to get the vertex (h, k) of the given quadratic y = ax2 + bx + c, one must first compute h= b 2 a h=2ab 2a, and then one must evaluate y at h in order to determine k. The speed equation is speed=distance*time. According to the currently accepted definition of the kilogramme, it reads as follows: "The kilogramme is defined by considering the fixed numerical value of h to be 6.62607015 unit Js,"

The fact is [tex]$3 \geqslant h \geqslant 0$[/tex]

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Answer: 485.14 cm^2 (rounded)

Step-by-step explanation: Pi * Diameter = 78.06 -> 78.06/ 3.14 or Pi = radius or 12.429. That squared is 154.5. Then multiply it by Pi to get the answer.

The mental math for the fraction is shown below.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Model: 1 1/4 + 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4

Now, if we use mental math then we can add the whole number first.

1 + 2 + 3 + 4 + 5 + 6 = 21

Now, add the fraction with same denominator

1/3 + 2/3 = 3/3 = 1

1/2 + 1/2 = 1

1/4 + 3/4 = 4/4 = 1

Finally add all of them

21 + 1+ 1 +1= 24.

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Answer:

[tex]tan(A)=\frac{5}{12}[/tex]

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

The TAN function can be expressed as [tex]tan(x)=\frac{Opp}{Adj}[/tex].

The side opposite to angle A is 15

The side adjacent to angle A is 36.

Therefore

[tex]tan(A)=\frac{15}{36}[/tex]

We can simplify the fraction.

Factor 3 out of 15.

[tex]\frac{3(5)}{36}[/tex]

Factor 3 out of 36.

[tex]\frac{3(5)}{3(12)}[/tex]

Cancel the common factor of 3.

[tex]\frac{5}{12}[/tex]

Answer:

tan(A)=\frac{5}{12}tan(A)=

12

5

\frac{5}{12}

12

5

Step-by-step explanation:

The TAN function can be expressed as tan(x)=\frac{Opp}{Adj}tan(x)=

Adj

Opp

.

The side opposite to angle A is 15

The side adjacent to angle A is 36.

Therefore

tan(A)=\frac{15}{36}tan(A)=

36

15

We can simplify the fraction.

Factor 3 out of 15.

\frac{3(5)}{36}

36

3(5)

Factor 3 out of 36.

\frac{3(5)}{3(12)}

3(12)

3(5)

Cancel the common factor of 3.

\frac{5}{12}

12

5

Answer: -4/5

Step-by-step explanation:

(0,2) and (4,-3) are two coordinates here.

Using the slope formula, i.e, m = (y₂ - y₁)/(x₂ - x₁) = 4/-5 = -4/5