Which choice shows that “What was the purpose of the Inca’s strange strings?” Is a persuasive text?

A. The pictures provide intreating things to look at

B. The author gives information about the Inca’s in Peru

C. The reader learns that the Inca empire was large

D. Both parts of the article give details that support each opinion

Answer:

288π inch³

Step-by-step explanation:

V=4

/3πr³

by substituding in formulae

4/3*216π

=288π inch³

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Answer:

-3/5

Step-by-step explanation:

Just ask.

Hope this helps! :)

The requried volume of the pedestal is 135 cubic inches.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.

In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.

Therefore, the volume of the pedestal is:

V = base x h

V = 9 in² x 15 inches

V = 135 cubic inches

So the volume of the pedestal is 135 cubic inches.

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The 7th term of the sequence is 136.6875

From the question, we have the following sequence that can be used in our computation:

12, 18, 27....

In the above sequence, we can see that the previous term is multiplied by 1.5 to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = 1.5aₙ₋₁

a₄ = 1.5 * 27

Evaluate the products

a₄ = 40.5

Solving further, we have

a₅ = 40.5 * 1.5

Evaluate the products

a₅ = 60.75

Solving further, we have

a₆ = 60.75 * 1.5

Evaluate the products

a₆ = 91.125

Solving further, we have

a₇ = 91.125 * 1.5

Evaluate the products

a₇ = 136.6875

Hence, the 7th term is 136.6875

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he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

The Total outcome with replacement will be given by ,3² = 9, the mean of the samples will be  2 , 4.5 , 3 , 7 , 4

Mean predicts the central tendency of a data set , It is determined by the ratio of sum of all the numbers to the total numbers in the data set.

On the basis of given data

The number given is 2,4,7

Size of the sample = 2 with replacement

The Total outcome with replacement will be given by

3² = 9

Possible outcome can be

2,2   2,4   2,7   4,4  4,2  4,7  7,7  7,2  7,4

The sample mean can be calculated as

(a+b)/2

(2+2)/2 = 2

similarly the mean of the samples will be  2 , 4.5 , 3 , 7 , 4

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Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:  \(F^{-1} (n)=n-1\)

Step-by-step explanation:

\(F(n)=n+1\)

\(F(n)-1=n\) Subtract 1 from both sides

Done!

We can rewrite as: \(F^{-1} (n)=n-1\)

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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Answer:

I believe the answer would be 59.93333

Answer:

(62.66 ; 67.34)

Step-by-step explanation:

Given the data:

86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76

Using a calculator :

Sample mean, xbar = 65

Sample. Standard deviation s = 22.35

Confidence interval :

Xbar ± standard Error

Standard Error = Tcritical * s/√n

TCritical at 95%, df = 19 = 2.093

Standard Error = 2.093 * (22.35/√20) = 2.339

Lower boundary = 65 - 2.339 = 62.661

Upper boundary = 65 + 2.339 = 67.339

(62.661 ; 67.339)

(62.66 ; 67.34)

According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

y = 54/25 when x = 4.

Step-by-step explanation:

y is given by the equation:

\(\displaystyle y = p\times q^{x-1}\)

Where p and q are numbers.

We are also given that when x = 1, y = 10 and when x = 6, y = 0.7776.

And we want to determine the value of y when x = 4.

Since y = 10 when x = 1:

\(\displaystyle (10) = p\times q^{(1)-1}\)

Simplify:

\(10 = p \times q^0\)

Any number (except for zero) to the zeroth power is one. Hence:

\(p=10\)

Thus, our equation is now:

\(y = 10\times q^{x-1}\)

When x = 6, y = 0.7776. Thus:

\((0.7776) = 10\times q^{(6)-1}\)

Simplify and divide both sides by ten:

\(\displaystyle 0.07776 = q^5\)

Take the fifth root of both sides:

\(\displaystyle q = \sqrt[5]{0.07776}\)

Use a calculator. Hence:

\(\displaystyle q = \frac{3}{5} = 0.6\)

Our completed equation is:

\(\displaystyle y = 10\times \left(\frac{3}{5}\right)^{x-1}\)

Then when x = 4, y equals:

\(\displaystyle \begin{aligned} y &= 10\times \left(\frac{3}{5}\right)^{(4)-1} \\ \\ &= 10\times \left(\frac{3}{5}\right)^3 \\ \\ &= 10\times \left(\frac{27}{125}\right) \\ \\ &= \frac{54}{25}\end{aligned}\)

Answer:

18

Step-by-step explanation:

triangle formula = b x h /2

half of 8/2= 4

9 x 4= 36

36/2= 18

The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.

Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.

A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.

According to the given information:

The Capital Asset Pricing Model (CAPM) is expressed as:

R = Rf + beta*(Rm - Rf)

Where:

R = Required rate of return

Rf = Risk-free rate of return

beta = Beta coefficient (systematic risk)

Rm = Expected market return

Using the given values, we can compute the required rate of return for each stock:

Stock with beta of 0.5:

R = 5% + 0.5*(10% - 5%)

R = 7.5%

Stock with beta of 2:

R = 5% + 2*(10% - 5%)

R = 15%

Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.

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Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

Answer:

1284 gallons

Step-by-step explanation:

95 minutes*8.4 gallons=798 gallons

486 + 798 = 1284 gallons after 95 minutes

The value of 12x in the expression is 10

You multiply 5 = 6x  by 2 to get 12x

From the question, we have the following parameters that can be used in our computation:

2x + 5 = 8x

You subtract 2X from each side to get

5 = 6x

Then multiply both sides by 2

This gives

10 = 12x

So, we have

12x = 10

Why do you multiply both sides by 2

You multiply by 2 because the question requests for the value of 12x

Since, we have solved for 6x, the next step is to multiply 6x by 2 to get 12x

i.e. 6x * 2 = 12x

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Answer:

85 minutes

Step-by-step explanation:

y = 2x + 75

15 · 5 or 75 is the first week's reading

x represents the week.

y = 2(5) + 75

y = 10 + 75

y = 85

85 minutes

Answer:

109°

Step-by-step explanation:

X = 38+ (180-38)/2

= 38 + (142/2)

= 38 + 71

= 109°

Answer:

Divide!

Step-by-step explanation:

Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....

Answer:

~7 ft

Step-by-step explanation:

2,198.0013 = pi × 10^2 × h

h = 2198.0013 / (3.1416 × 100)

h = 6.996 ft ~ 7 ft

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:

\(H_0: \mu = 19\)

At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:

\(H_1: \mu > 19\)

We have the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

Searching the problem on the internet, it is found that the values of the parameters are:

\(\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25\)

Hence, the value of the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}\)

\(t = 2.07\)

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of \(t^{\ast} = 1.71\)

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

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Answer:

y = - \(\frac{1}{2}\) x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line

m = \(\frac{0-4}{8-0}\) = \(\frac{-4}{8}\) = - \(\frac{1}{2}\)

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - \(\frac{1}{2}\) x + 4 ← equation of line L

Answer:

1/3

Step-by-step explanation:

Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

The transformation composition displayed in the accompanying photograph is

A transformation in mathematics is a modification of a geometric object or mathematical function's position, size, shape, or orientation. Shapes can undergo geometric modifications, such as rotations, reflections, dilatations, and translations.

The first transformation in the figure is a 90° clockwise rotation about the origin.

Reflection along the x-axis is the second transformation. This creates mirror image of the triangle below the line which is the axis of reflection

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20.25 square units are enclosed between the two curves.

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

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Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

Answer: Jane incorrectly evaluated (-2)² in step 2.

Step-by-step explanation:

\((-2)^{2}=4\), not -4.

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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