The following sequence is a combination of an arithmetic sequence and a geometric sequence:5;5;15;10;25;20;35;40....4.1 Calculate T41 - T41 OR a42 - a41

Answer:

The correct answers are D and E

Step-by-step explanation:

D is correct because according to exponent rules, you add them when you multiply.

E is correct because the expression will equal 64 when calculated.

Answer:

1( 8y + 5y )

Step-by-step explanation:

The gcf of 8 and 5 is 1

Step-by-step explanation:

you can use mathaway and itll solve it for you just take a pic

Answer:

Adding ten..... 44, 54, 64, 74, 84, 94, 104

Step-by-step explanation:

To find the answer we must compare the values of the functions. Making a table of function g, we have:

x y

-1 -18*((1/3)^(-1))+2 = -52 (Raising 1/3 to the power of -1, multiplying and adding)

0 -18*((1/3)^(0))+2 = -16 (Raising 1/3 to the power of 0, multiplying and adding)

1 -18*((1/3)^(1))+2 = -4 (Raising 1/3 to the power of 1, multiplying and adding)

2 -18*((1/3)^(2))+2 = 0 (Raising 1/3 to the power of 2, multiplying and adding)

We can see that both functions increase in that interval, but function g is increasing at a faster average rate. So, the answer is the option D.

The mean distance that the ball was thrown is approximately 38.92/12 = 3.24 feet.

To find the mean distance that the heavy ball was thrown, we need to calculate the sum of all the distances and then divide by the total number of throws:

(20+25+25+31+33+34+41+41+45+50+56+67)/12 = 467/12 ≈ 38.92

So, the mean distance that the ball was thrown is approximately 38.92/12 = 3.24 feet.

This means that on average, the ball was thrown a distance of 3.24 feet. However, it's important to note that the mean can be influenced by outliers, which in this case is the one throw of 6.7 feet.

So, while the mean is a useful measure of central tendency, it's important to also consider other measures such as the median and mode to get a complete picture of the data.

The mean is the sum of all the values in a dataset divided by the total number of values. It provides an estimate of the central location of the data and can be a useful summary statistic for describing a dataset. However, the mean can be influenced by outliers, which are values that are significantly different from the rest of the data.

In this case, the one throw of 6.7 feet is an outlier because it is much further than any other throw, and it will increase the mean value.

For this reason, it's important to consider other measures of central tendency such as the median and mode. The median is the middle value in a dataset, and it's not affected by outliers. The mode is the value that appears most frequently in a dataset and can provide useful information about the typical or most common value in the data.

By considering all three measures (mean, median, and mode), we can get a more complete picture of the data and make better inferences or conclusions about it.

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Answer:

y = 1 + x/2

x = -2 + y

Step-by-step explanation:

Theres no question here so i just solved for x and y.

Step-by-step explanation:

y=1x/2+1

Answer:

228mm^2

Step-by-step explanation:

Answer:

C) -212.5

Step-by-step explanation:

I've done this question on a quiz before.

Hope I helped!! :D

Answer:

20y^7. this is because the exponents are added together because the variable attached to the coefficient are the same therefor the coefficients are multiplied, and the exponents are added together.

Answer:

\(10y^7\)

Step-by-step explanation:

\(2y^4\times 5y^3\)

In order to multiply powers of the same base, add their exponents, add 4+3=7,

\(2y^7\times 5\)

Multiply 2 × 5=10

\(10y^7\)

Hope this helps! :)

Answer:

\((A) 3\dfrac78+\left(-6\dfrac14\right)\)

Step-by-step explanation:

Given the expression:\(3\dfrac78 - 6\dfrac14\)

The given options are:

\((A)3\dfrac78+\left(-6\dfrac14\right)=3\dfrac78-6\dfrac14\\\\(B)-6\dfrac14+\left(-3\dfrac78\right)=-6\dfrac14-3\dfrac78\\\\(C)6\dfrac14-\left(3\dfrac78\right)=6\dfrac14-3\dfrac78\\\\(D)3\dfrac78+\left(6\dfrac14\right)=3\dfrac78+6\dfrac14\)

We can see therefore that Option A is equivalent to the given expression.

Answer:

-25/-33

Step-by-step explanation:

-5/3x5/-11=

The features of the quadratic function, y = (x - 4)² - 1 are;

a) Vertex = (4, -1)

b) Domain; -∞ < x < ∞

c) Range; -∞ < y ≤ -1

d) x-intercepts; (5, 0), (3, 0)

e) y-intercept; (0, 15)

f) Axis of symmetry; x = 4

g) Congruent equation; y + 1 = (x - 4)²

The vertex form of a quadratic equation (the equation of a parabola) can be presented as follows;

y = a·(x - h)² + k

Where;

a = The leading coefficient

(h, k) = The coordinates of the vertex

The axis of symmetry is; x = h

The y-intercept is the point on the graph where x = 0

The x-intercept is the point on the graph where; y = 0

The specified quadratic function is; y = (x - 4)² - 1

Therefore;

a) The vertex, (h, k) = (4, -1)

b) The graph of the function is continuous, therefore the domain is the set of all real numbers, or the domain is; -∞ < x < ∞

c) The range is the set of possible y-values, therefore;

The range is; -∞ < y < -1

d) The x-intercept are; y = (x - 4)² - 1 = 0

(x - 4)² = 1

x - 4 = √1 = ±1

x = 1 + 4 = 5, and x = -1 + 4 = 3

The x-intercepts are; (5, 0), and (3, 0)

e) The y-intercept is; y = (0 - 4)² - 1 = 15

The coordinate of the y-intercept is; (0, 15)

f) The axis of symmetry, x = h is; x = 4

g) The congruent equation to y = (x - 4)² - 1 is; y + 1 = (x - 4)²

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The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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Answer:

8.3

Step-by-step explanation:

Answer:

8.28

Step-by-step explanation:

Find the number in the hundredth place  7  and look one place to the right for the rounding digit  5 . Round up if this number is greater than or equal to  5 and round down if it is less than  5 .

Pls rate brainiest

Answer:

It is c im pretty surebecause it saysevery mile(x)is 2 so 2x

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

To find mean, add all of the numbers together, then divide that sum by how many numbers there are.

3 + 5 + 10 + 11 + 15 = 44

44 ÷ 5 = 8.8

hope this helps!

Step-by-step explanation:

3+5+10+11+15÷5=

44 divided by 5 which gives 8.4

therefore that is the mean hope this helps

Using a proportional relationship, it is found that:

A. The slope of the line is of 4.

B. The slope is the same over both segments.

A proportional relationship is modeled as follows:

y = kx.

Hence a proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.

For the presented case, the two variables x and y are direct proportional, and thus the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k.

In this problem, the relationship has two points presented as follows:

(3, 12) and (4, 16).

Hence the slope, which is the constant of the relation, is given as follows:

k = 12/3 = 16/4 = 4.

Given two points, the slope is given by the change in y divided by the change in x. Hence, over each segment, the slopes are given as follows:

Which are the same slopes.

The problem is given by the image at the end of the answer.

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The slopes for the equations in exercise 48 are -4 and 1, respectively, indicating that the lines are neither parallel nor perpendicular. In exercise 49, both equations have a slope of 9, which means the lines are parallel.

In exercise 48, the slope of the first equation, y = -4x + 4, is -4. The slope of the second equation, y = x + 2, is 1. Since the slopes are different (-4 ≠ 1), the lines are neither parallel nor perpendicular. When two lines have different slopes, they have different rates of change and will not intersect at a right angle (perpendicular) or be parallel.

In exercise 49, both equations have a slope of 9. When two lines have the same slope, they have the same rate of change, and the lines will be parallel. In this case, since the slopes in both equations are 9, the lines represented by y = 9x + 2 and y = 9x - 5 are parallel.

To summarize, the lines in exercise 48 are neither parallel nor perpendicular since their slopes are different. In exercise 49, the lines are parallel because both equations have the same slope.

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Answer:

D.5

Step-by-step explanation:

You can write the following equations from the information given:

y=x+3 (1)

11x+5y=47 (2)

x is the number of hardback books

y is the number of paperback books

You can replace (1) in (2):

11x+5(x+3)=47

11x+5x+15=47

16x=47-15

16x=32

x=32/16

x=2

Then, you can replace the value of x in (1) to find the value of y:

y=2+3

y=5

According to this, the answer is that Jamal bought 5 paperback books.

Answer:

\(\frac{3}{88}\)

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

\(\frac{1}{8} * \frac{3}{11}\)

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

\(\frac{1}{8} * \frac{3}{11}\)

\(=\frac{1 * 3}{8 * 11}\)

\(= \frac{3}{88}\)

At this point, the fraction can't be simplified any further.

Hence,

\(\frac{1}{8} * \frac{3}{11} = \frac{3}{88}\)

Answer:

A=42 degrees a=13.5 c=20.2

Step-by-step explanation:

Knowing that all the angles in a triangle add up to 180, we simply subtract 90 and 48 from 180 to figure out angle A.

For side a and c we can us trig to figure them out. Sin is equal to opposite over hypotenuse so the sin(48)=15/c, rearranging this equation we can do 15/sin(48)=c to figure out the length of side c

For a we use tan, which is opposite over adjacent. So we can make the formula tan(48)=15/a then rearrange this to 15/tan(48)=a to figure out the length of a

The two consecutive whole numbers that √72 lies between are 8 and 9.

As per the question statement, we are supposed to find two consecutive whole numbers that √72 lies between.

We know,

8 squared is 64 and 9 squared is 81

since 72 lies in between 64 and 81, then the square root must lie between 8 and 9 which are also whole numbers and consecutive too.

Hence we accept out answer to be 8 and 9.

Hence the two consecutive whole numbers that √72 lies between are 8 and 9.

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the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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The expression in the format "5(blank space 1) + (blank space 3)(blank space 4) + 8(blank space 7)" represents a mathematical expression with three terms. To create the expression with the given conditions, we can use the following format:

5(blank space 1) + (blank space 3)(blank space 4) + 8(blank space 7)

Here are four options for each blank space:

Option 1:

Blank space 1: x

Blank space 3: 2

Blank space 4: y

Blank space 7: z

So the expression would be:

5x + 2y + 8z

Option 2:

Blank space 1: a

Blank space 3: 3

Blank space 4: b

Blank space 7: c

So the expression would be:

5a + 3b + 8c

Option 3:

Blank space 1: m

Blank space 3: 4

Blank space 4: n

Blank space 7: p

So the expression would be:

5m + 4n + 8p

Option 4:

Blank space 1: r

Blank space 3: 1

Blank space 4: s

Blank space 7: t

So the expression would be:

5r + s + 8t

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The required sum of the positive integers x and y with the given condition of product of x and y as  square and cube is equal to 85.

Two positive integers are x and y.

Product of 360 and x is a square.

Product of 360 and y is a cube.

Prime factors of 360 equals to ,

360 = 2³ × 3² × 5

To make a product of 360 and x as square ,

Multiply by 2 and 5 and 3 is already a perfect square.

x = 2 × 5

 = 10

360 × 10 = 3600

Now , to make product of 360 and y as cube.

Multiply by 3  and 5² and 2 is already a perfect cube.

y = 3 × 5²

   = 75

360 × 75 = 27000

Sum of the values of x and y is equal to,

x + y

= 10 + 75

= 85

Therefore, the sum of the positive integers x and y are 85.

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The value of t that 6x^2 + tx + 25 be written as the product of two binomials is \(10\sqrt 6\)

Binomial expressions are any mathematical expression that have two terms

The expression is given as:

\(6x^2 + tx + 25\)

A quadratic expression is represented as:

\(ax^2 + bx + c\)

If the expression is a perfect square, then:

\(b = 2\sqrt{ac\)

So, we have:

\(t = 2\sqrt{6 \times 25\)

This gives

\(t = 2 \times 5 \times \sqrt 6\)

\(t = 10\sqrt 6\)

Hence, the value of t is \(10\sqrt 6\)

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Answer: \(\sqrt{80}\), \(\pi\), \(\sqrt{12}\)

Step-by-step explanation:

these are all irrational! hope this helped you :3.

Answer:

The irrational numbers are \(\pi ,7/18 , \sqrt{12},\sqrt{80}\).

Step-by-step explanation:

What is irrational numbers?

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.

\(\sqrt{196}=14\\ \sqrt{80}=4\sqrt{5}\\ \sqrt{16}=4\\ \pi =22/7\\ \sqrt{12}=2\sqrt{3}\\ \frac{7}{18}=0.388888.....\)

The irrational numbers are π , 7/18 , \(\sqrt{12},\sqrt{80}\).

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Answer:

i dont know I have the same questions aswell

Answer:

{-40, 2}

Step-by-step explanation:

Part A: -40/8 x 3/8 would be

120/8 but then we have to subtract it from 3

that would be 117/8 then we simplify it 14 -5/8.

Part B: first it would be 2 plus 2 and that's 4 and then make 4 into a fraction

4/4 we simplify that 1 0/4.

14 -5/8 < 1 0/4.

Hope This Helped!