what two number multiply to make -36 as well as add to make 16

The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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In linear equation, the unit rate of tickets at the skating rink is; 11.95 per ticket.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                  The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

We have been given Adela paid $71.70 for 6 tickets at the skating rink.

We need to find the unit rate per ticket.

Total amount = 71.70

Number of tickets = 6

Unit rate = Total amount/ Number of tickets

Unit rate =  70.70/ 6

Unit rate = 11.95/1

Therefore, the unit rate of tickets at the skating rink is; 11.95 per ticket.

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Answer:B

Step-by-step explanation:

Answer:

i got 6/25, or 24%

Step-by-step explanation:

P(green) = 60/250 or 6/25

Answer:11

Step-by-step explanation:

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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The given expression is,

It can be written in exponential terms as,

Therefore, the simplest exponential form of the given expression is,

The 53586077 is composite, we can use Fermat's Little Theorem for primality testing. The theorem states that if p is a prime number and a is any positive integer less than p, then

\(a^(p-1) ≡ 1 (mod p).\)

Let's take a positive integer a = 2 as our witness. We need to calculate\( 2^(53586077-1) mod 53586077\) and check if it's equal to 1.

\(2^(53586076) mod 53586077 = 3639153\) (using a calculator or software)

Since 3639153 is not equal to 1, this shows that 53586077 is composite, and 2 is a valid witness.

For the Carmichael number 294409, we need to find a nontrivial square root of 1 modulo 294409. A nontrivial square root of 1 is an integer x such that x^2 ≡ 1 (mod 294409) and x ≠ 1 or x ≠ -1 (mod 294409).

Let's take a = 3 as our witness. We need to calculate 3^((294409-1)/2) mod 294409:

\(3^147204 mod 294409 = 1\) (using a calculator or software)

Now, we need to find 3^((294409+1)/2) mod 294409:

\(3^147205 mod 294409 = 294408 \)(using a calculator or software)

Since 1 and 294408 are the trivial square roots of 1 (mod 294409), 3 is not a valid witness for this Carmichael number. However, using trial and error with other witnesses, we can eventually find a nontrivial square root of 1, proving that 294409 is composite.

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Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

Answer:

12

1.5

14%

45

0.7

21

Step-by-step explanation:

Answer: y = -2/5x -4

Step-by-step explanation:

First we can notice that the line is not going through the origin but is is going through the y-intercept which is -4.In this case the the equation of the line has be in slope intercept form as if  y=mx +b where only m and b is indicated and  m is the slope and b is the y intercept. So since we already know the y intercept is -4 we need to find the slope using  the points on the line.

The points (0,-4) and ( -5,-2)   lies on the line and we could use them to find the slope. To find the slope,we need to find the change in the y coordinates and divide it by the change in the x coordinates.

-4 -(-2) =  -2

0 - (-5) = 5      

slope:  -2/5

So since the slope is -2/5 and the y intercept is -4 then we will have the equation,

y= -2/5x - 4

Answer:

Step-by-step explanation:

I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)

For 2,9,16,23...

Recursive is a(n+1)=an+7

Explicit is an=2+7(n-1)

(or more neatly an=7n-5)

For 2,14,98,686...

Recursive is a(n+1)=7an

Explicit is an=2(7^(n-1))

(or (2/7)7^n )

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Answer:

2n, -n, 7n

Step-by-step explanation:

Like terms have the same variable parts.

The terms 2n, -n, and 7n, have n as the variable parts, so the like terms are

2n, -n, 7n

The only term that is not a like term here is -4.

Answer: 1

Step-by-step explanation: Well, the like term was going to be n, because 3 of the things have a n. But, because of the 4, the like term isn't n. and because n is the same as 1n, the only like term is one

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer:

For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

.

The volume of the triangular prism is 1756.3 cubic yd option second is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We know that the volume of a triangular prism is given by:

\(\rm V = \dfrac{1}{2}\times b\times l\times h\)

Where b is the base length, l is the base width, and h is the height of the prism.

\(\rm h=\sqrt{13^2-(\dfrac{13}{2}) ^2\)

h = 11.2583 yd

b = 13 yd

l = 24 yd

\(\rm V = \dfrac{1}{2}\times 13\times 24\times 11.2583\)

V = 1756.29 ≈ 1756.3 cubic yd

Thus, the volume of the triangular prism is 1756.3 cubic yd option second is correct.

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Answer:

  A.  m^2+7m+10=0

Step-by-step explanation:

This is a problem in pattern matching, and in substituting a variable for a pattern.

  (x^2+3)^2 +7x^2 +21 = -10 . . . . . . given

  (x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms

  m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3

  m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A

To determine the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.

Although they are connected, confidence level and confidence interval are not the same thing.

Thus, to evaluate the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.

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Answer:

8.333333333333333

Step-by-step explanation:

Answer:

25/3 - Or in a simpler form 8 1/3

Step-by-step explanation:

I multiplied 15 by 5/9. I hope this helps :)

The center of the circle is (-4, 3) and the radius is 3.

In order to calculate the center, (h, k), and radius, r, of the circle outlined by the equation x² + y² + 8x - 6y + 16 = 0, we can reposition the given equation into its most conventional shape for a circle:

(x - h)² + (y - k)² = r².

Completing the square by adding and subtracting (8/2)² on account of x and (6/2)² due to y,

(x² + 8x + 16) + (y² - 6y + 9) = -16 + 16 + 9

(x + 4)² + (y - 3)² = 9

This transformation thus showcases that the center of the circle is (-4, 3), as (h, k) equals (-4, 3). Additionally, the radius is the square root of r², or √9 = 3.

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If an investigator reports that main effects exist for both factors, it implies nothing whatsoever about the presence or absence of an interaction.

The presence of main effects for both factors indicates that each factor individually has a significant impact on the outcome variable. A main effect refers to the effect of a single independent variable while ignoring the other independent variables.

However, the presence of main effects does not provide any information about how the factors interact with each other.

An interaction occurs when the effect of one independent variable on the outcome variable depends on the level of another independent variable.

In other words, the combined effect of the factors is different from the sum of their individual effects.

To determine if an interaction is present, it is necessary to analyze the data and specifically test for the interaction effect.

This can be done through various statistical techniques, such as conducting an analysis of variance (ANOVA) with interaction terms or fitting a regression model with interaction terms and examining their significance.

Therefore, reporting main effects for both factors does not imply anything about the presence or absence of an interaction. Additional analysis and testing are required to draw conclusions about the existence of an interaction effect.

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Answer:

Yes

Step-by-step explanation:

They have the same length. The length is 1.

I hope this helps!

Hello !

\(-8 + x = 45\\-8 + x + 8 = 45 + 8\\\boxed{x = 53}\)

Hello !

Answer:

\(\boxed{\sf Option\ B\to \boxed{x=53}}\)

Step-by-step explanation:

We're looking for the value of x that verifies the equation.

\(-8+x=45\)

Let's add 8 to both sides

\(\sf -8+x+8=45+8\)

Now let's calculate !

\(\sf x=45+8\\\boxed{\sf x=53}\)

Have a nice day ;)

The shapes of a cross section of the cone are circle and triangle

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

The cone

In the cone, we have the following shapes in the cross-sections

Using the above as a guide, we have the following:

the shapes of a cross section of the cone are circle and triangle

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Answer:

Yes

Step-by-step explanation:

Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.

Hope that helps!

-Sabrina

Answer:

B) 3x - 4y = -28

Step-by-step explanation:

Perpendicular = 90 degree angle

Answer:

B) 3x - 4y = -28

Answer:

Step-by-step explanation:

Surface Area = 2lh + 2lw + 2hw

2(4 x 4) + 2(4 x 4) + 2(4 x 4)

32 + 32 + 32

Surface Area = 96ft^2

Answer:

24.8 degrees

Step-by-step explanation:

input the side lengths into the law of cosines, and subtract from 180 to get your final answer. hope this helped, and good luck :)