-1 over 8 in decimal form

The Wigwam Motel in Holbrook, Arizona is famous for its large tepees shaped like cones. the floor space inside each tepee is approximately 153.94 square feet.

(a) To find the slant height of the tepee, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle with the height and the radius of the base as the legs.

The radius of the base is half of the diameter, so r = 14/2 = 7 feet. The height of the tepee is 32 feet. Let's call the slant height "s".

Using the Pythagorean theorem, we have:

s² = r² + h²

s² = 7² + 32²

s² = 49 + 1024

s² = 1073

s = sqrt(1073)

s ≈ 32.77 feet

Therefore, the slant height of the tepee is approximately 32.77 feet.

(b) To find the floor space inside the tepee, we need to calculate the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(7)²

A = 49π

A ≈ 153.94 square feet

Therefore, the floor space inside each tepee is approximately 153.94 square feet.

To know more about radius check the below link:

https://brainly.com/question/24375372

#SPJ1

Answer:

two

Step-by-step explanation:

one and add another one

Answer:

She has to get a 5

Step-by-step explanation:

So basically you have the numbers 4, 4, and 3.

To get a mean is the average, so we need to balance out the 3.

To balance it out, we add a 5.

We would have to get 16 points for it to be a mean of 4, 4 + 4 + 3 + 5 = 16.

The probability of drawing 6 cards of the same suit is 0.002% while the probability of drawing a hand containing only one pair is 42.3%.

(a) The probability of drawing 6 cards of the same suit can be calculated as follows:

First, choose one of the four suits. There are 4 ways to do this.

Next, choose 6 cards from the chosen suit. There are 13 cards in each suit, so there are C(13,6) ways to do this.

Finally, choose any 6 cards from the deck. There are C(52,6) ways to do this.

Therefore, the probability of drawing 6 cards of the same suit is:

P(6 cards of the same suit) = (4 * C(13,6)) / C(52,6) ≈ 0.002%

(b) The probability of drawing a hand containing only one pair can be calculated as follows:

First, choose a rank for the pair. There are 13 ranks to choose from.

Next, choose 2 cards of the chosen rank. There are C(4,2) ways to do this.

Then, choose 4 cards from the remaining 48 cards. There are C(48,4) ways to do this.

Therefore, the probability of drawing a hand containing only one pair is:

P(only one pair) = (13 * C(4,2) * C(48,4)) / C(52,6) ≈ 42.3%

Learn more about probability here: https://brainly.com/question/30390037

#SPJ1

The derivative of the function dz/dt at t = 2 is false

Given data ,

To find the value of dz/dt at t = 2, we need to differentiate z = 5xe^(7xy) with respect to t, using the chain rule and the given values of x = √t and y = 1/t.

First, let's differentiate z with respect to t using the chain rule:

dz/dt = dz/dx * dx/dt + dz/dy * dy/dt

Using the given values of x = √t and y = 1/t, we can substitute them into the expression for z and its partial derivatives:

z = 5xe^(7xy) = 5(√t)e^(7(√t)(1/t)) = 5√t * e^(7√t/t)

dz/dx = 5e^(7xy) + 5xe^(7xy) * 7y = 5e^(7xy) + 35xye^(7xy) = 5e^(7(√t)/t) + 35(√t)e^(7(√t)/t)

dx/dt = (1/2) * t^(-1/2) = 1/(2√t)

dy/dt = (-1/t^2) = -1/t^2

Now, we can substitute these expressions back into the chain rule formula for dz/dt:

dz/dt = dz/dx * dx/dt + dz/dy * dy/dt

= (5e^(7(√t)/t) + 35(√t)e^(7(√t)/t)) * (1/(2√t)) + (5√t * e^(7(√t)/t)) * (-1/t^2)

To find dz/dt at t = 2, we can substitute t = 2 into the above expression:

dz/dt|_(t=2) = (5e^(7(√2)/2) + 35(√2)e^(7(√2)/2)) * (1/(2√2)) + (5√2 * e^(7(√2)/2)) * (-1/2^2)

The resulting value of dz/dt at t = 2 cannot be determined without knowing the specific values of e^(7(√2)/2) and (√2), as well as performing the calculations accurately.

Hence , the derivative "(-5√2/4 + 35/4)" is not necessarily true without further calculations

To learn more about derivative of a function click :

https://brainly.com/question/29005833

#SPJ4

Answer:

m=52

Step-by-step explanation:

Answer:

i think its 58,660

Step-by-step explanation:

Answer:

58,660

Step-by-step explanation:

Step-by-step explanation:

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

To learn more about superposition theorem visit : https://brainly.com/question/25329462

#SPJ11

Let:

Oc = original cost = $17

Sp = Sale price

D = Discount percent = 12% = 12/100 = 0.12

The sale price will be:

The sale price is $14.96

Step-by-step explanation:

n(U) = 65

n(L) = 35

n(K) = 24

n(LUK) = 15

n(LnK) = x

Since we don't know the intersection (x), we have not also known the real value of Set L and K. Therefore, it is expressed as:

35-x and 24-x

Add the terms together and equate to the universal set :

35-x + x + 24-x + 15 = 65

35 + 24 + 15 + x-x - x = 65

74 - x = 65

- x = 65 - 75

-x = - 9

divide through by -1, you'll get:

x = 9

Therefore, the number of students who like both is 9.

Javier is saving $460 per month for the first two months, and $257.5 per month for the first four months.

What is equation of a straight line?

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

After 2 months, Javier has saved a total of $920. Therefore, we can write the following equation:

2m = 920

Simplifying this equation, we get:

m = 460

This means that Javier is saving $460 each month.

After 4 months, Javier has saved a total of $1030. Using the same logic as before, we can write:

4m = 1030

Simplifying this equation, we get:

m = 257.5

This means that Javier is saving $257.5 each month.

To model the relationship between the amount of money Javier has saved and the number of months he has saved for, we can use the equation of a straight line:

y = mx + b

where y is the amount of money saved, x is the number of months, m is the monthly savings rate, and b is the starting amount saved.

Using the values we found earlier, we can write two equations:

y = 460x + b (for the first two months)

y = 257.5x + b (for the first four months)

To find the value of b, we can substitute the values of x and y for one of the points:

920 = 460(2) + b

Simplifying, we get:

b = 0

So the final equation that models the relationship between the amount of money Javier has saved and the number of months he has saved for is:

y = 460x (for the first two months)

y = 257.5x (for the first four months)

This means that Javier is saving $460 per month for the first two months, and $257.5 per month for the first four months.

To know more about equation of a straight line visit,

https://brainly.com/question/25969846

#SPJ1

Answer:  125 miles

if you do the math you will get the same answer.

Answer:

800 miles

Step-by-step explanation:

To find the angle measure for 5 of the 18 parts in the circle, we first need to determine the total number of degrees in the circle. Since a circle has 360 degrees, we can divide it into 18 equal parts by dividing 360 by 18. This gives us 20 degrees for each of the 18 parts.

The following steps are to be followed:

Step 1: Find the angle measure for one part.
A circle has a total of 360 degrees. Since the circle is divided into 18 equal parts, we need to find the angle measure for one part. To do this, divide 360 degrees by 18 parts:

360 degrees ÷ 18 parts = 20 degrees per part

Step 2: Find the angle measure for 5 parts.
Now that we know each part measures 20 degrees, we can find the angle measure for 5 parts by multiplying the angle measure of one part by the number of parts:

20 degrees/part × 5 parts = 100 degrees

So, the angle measure for 5 of those parts is 100 degrees.

To learn more about circle : brainly.com/question/29142813

#SPJ11

Answer:

B. 2

Hope this helps!

Step-by-step explanation:

The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10.

Answer:

2 2/5 or 12/5 (if u want it in improper fraction) but both works!

Step-by-step explanation:

Answer: 2 2/5

Step-by-step explanation: 9/5 has to have the same denominator as 6/10 so it becomes 18/10 and subtracting a negative number makes it addition so 18/10 + 6/10 is 24/10 and you simplify it to become 2 2/5

Answer:

cos A = 45

Step-by-step explanation:

90 - sin A = 45 = cos A

90 Minus whatever the cos value for the angle is = the sin and vice versa.

The last number using synthetic division in the bottom row is the remainder, which is 0 in this case. Therefore, the result of the division is x³ + 6x² + 6.

Polynomial division can be streamlined by using the Synthetic method, particularly when we need to divide the result by a linear factor. Instead of dividing components, it is typically employed to discover polynomial roots or zeroes. Thus, the following is the formal definition of synthetic division:

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

The synthetic division can be set as follows:

1 | 1   5  -6   6  -6

   |    1   6  0   6

   |------------------

   | 1  6  0   6  0

The last number in the bottom row is the remainder, which is 0 in this case. Therefore, the result of the division is x³ + 6x² + 6.

Learn more about synthetic division here:

https://brainly.com/question/28824872

#SPJ1

The length of EF is 6 units.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

Now we draw in line DG (in green) parallel and equal to BC.

It intersects EF at I.  DG divides radius AB = 9 into AG and BG.

Since CD = BG = 4,

AG = AB-BG = 9-4 = 5

Now we use the Pythagorean theorem on right triangle AGD:

Hypotenuse = AD = radius AE + radius DE = 9+4 = 13

\(DG^{2} + AG^{2} = AD^{2} \\DG^{2} + 52 = 132\\DG^{2}+ 25 = 169\\DG^{2} = 144\\DG = 12\)

Now we have BC = DG = 12.

Next, we draw in EH parallel to AB and CD and perpendicular

to BC and G.  DG and EH are perpendicular and intersect at J

By similar triangles EJD and AGD,

\(\frac{EJ}{AG} =\frac{DE}{AD} \\\\=\frac{EJ}{5} =\frac{4}{13}\\\\=EJ= \frac{20}{13}\)

HJ = CD = 4

Therefore EH = EJ+HJ

=\(\frac{20}{13}+4=\frac{72}{13}\)

Triangles IJE and EJD are similar since they are right

triangles with a common angle at D.

Triangles IJE and FHE are similar

Therefore triangles FHE and AGD are similar

\(\frac{EF}{EH} =\frac{AD}{DG} \\\\=\frac{EF}{72/13} =\frac{13}{12} \\\\\\\)

Divide both sides by 13 , we get

\(\frac{EF}{72}=\frac{1}{12} \\\\EF=\frac{72}{12} \\\\EF=6\)

Therefore, the length of EF is 6 units.

Learn more details about circle here:

https://brainly.com/question/11833983

#SPJ1

The interior angles of a square have the same value. Each of them are equal to 90 degrees. The interior angles of an equilateral triangle have also the same value and are equal to 60.

Therefore:

The measure of the interior angle of the square is 90 and the measure of the interior angle of the equilateral triangle is 60:

c.

Answer:

a) 5xy + 9yz + 3zx + 5x - 4y

Step-by-step explanation:

→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)

→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)

→ 5xy + 9yz + 3zx + 5x - 4y

Hence, option (a) is the correct answer.

Answer:

\(\textsf{A)}\quad \sf 5xy+9yz+3zx+5x-4y\)

Step-by-step explanation:

Given expression:

\(\sf (7xy+5yz-3zx)+(4yz+9zx-4y)+(-3xz+5x-2xy)\)

Remove the parentheses:

\(\implies \sf 7xy+5yz-3zx+4yz+9zx-4y-3xz+5x-2xy\)

Collect like terms:

\(\implies \sf 7xy-2xy+5yz+4yz+9zx-3zx-3xz+5x-4y\)

Combine like terms:

\(\implies \sf (7-2)xy+(5+4)yz+(9-3-3)zx+5x-4y\)

\(\implies \sf 5xy+9yz+3zx+5x-4y\)

Answer:

The answer is 11,374

Step-by-step explanation:

First we find 5% of 9,400 is.

9,400 * 5% = 470

Next we add 9,400 with 470 then multiply by 20%

9,400 + 470 = 9,870

9,870 * 20% = 1974

Next we add.

9,870 + 1,974 = 11,374

So, the answer is 11,374

Hope this helps! :)

As a result, angle Q is roughly 28.3 degrees in size.

A circle is a spherical form without corners or borders. A circle is a circular, curved object with two dimensions in mathematics.

Since the triangle is inscribed in a circle, we know that the angle opposite the side that is a diameter of the circle is a right angle, i.e., m∠P = 90 degrees.

Using the fact that the angles of a triangle sum to 180 degrees, we can write:

m∠R + m∠Q + m∠P = 180

Substituting the given values, we get:

(2x-5) + (x-10) + 90 = 180

Simplifying and solving for x, we get:

3x - 25 = 90

3x = 115

x = 38.33...

Now that we know x, we can find the measure of angle Q:

m∠Q = x - 10 = 38.33... - 10 = 28.33...

To know more about Circle visit:

https://brainly.com/question/24375372

#SPJ1

Answer:

positive real

Step-by-step explanation:

your welcome

Answer:

x=8

Step-by-step explanation:

lol so easy

The interest is compounded four times per year, or once every quarter.Rate is quarterly compounded, hence the periodic rate is 1.64%.

The interest is compounded four times per year, or once every quarter. Quarterly compounding is the method of calculating the interest earned on a fixed deposit or investment on a quarterly basis, based on the principal sum plus the interest earned for prior periods.

You can rapidly determine how long it will take for an investment to double given its interest rate by using the Rule of 72.

It operates by:

/ Interest rate = 72

Rate is quarterly compounded, hence the periodic rate is

= 6.56%/4

= 1.64%

Time to double equals 72/1.64

equals 43.9 quarters

As measured in years:

= 43.9/4

= 11 years

To learn more about Quarterly Compounding refer

https://brainly.com/question/20392017

#SPJ1

Answer:

negative

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

a) The linear model for the data is y = 1.35x - 256

(a)A linear model for the data with x = 6 corresponding to the year 2006 is y = 1.35x + 177.2

(b) The total sales for the year 2016 is $190.7(in billions)

What is linear model?

Depending on the context, the phrase "linear model" is used differently in statistics. The word is frequently used interchangeably with a linear regression model since it occurs most frequently in relation to regression models. The phrase has a different connotation when employed in time series analysis, though.

The points on the regression line are (2006,184.6), (2007,186.9), (2008,188.5), (2009,189.7), (2010,190.7),(2011,191.5).

The equation of the model is y = 1.35x - 256.

The points on the regression line are (6,184.6), (7,186.9), (8,188.5), (9,189.7), (10,190.7),(11,191.5).

The equation of the model is y = 1.35x + 177.2

The difference between 2016 and 2006 is 10.

Putting x = 10 in the equation y = 1.35x + 177.2:

y = (1.35 × 10) + 177.2

y = 190.7

To learn more about regression line, click on below link:

https://brainly.com/question/28280651

#SPJ1

Answer:

C) Cannot tell what the correct decision should be

Step-by-step explanation:

It is important to have additional information to make a definitive decision. Specifically, we need to know the sample size (n) and the standard deviation (σ) of the population or the sample. Without this information, we cannot accurately determine whether the null hypothesis should be rejected or not.