A pyramid has a polygonal base and triangular lateral sides which meet at a vertex, called the
Question 5 options:

A)

apex.

B)

zenith.

C)

pharaoh's tomb.

D)

supremum.

Answer:

D. F(x) = \(\frac{1}{(x+4)}^{2}\)

Answer:

a,b,c,e,h

Step-by-step explanation:

Answer:

millimeters, centimeters, meters, and kilometers

Step-by-step explanation:

These are the metric units that measure length. The question throws you off and answers that are metric that measure weight as well but the question asks for metric that measures length.

The solution to the inequality is x < -5.

To solve the inequality -2(5x + 1) > 48, we need to isolate the variable x. Let's simplify the equation step by step:

-2(5x + 1) > 48

Start by distributing -2 to the terms inside the parentheses:

-10x - 2 > 48

Next, isolate the variable by adding 2 to both sides of the inequality:

-10x - 2 + 2 > 48 + 2

-10x > 50

Now, divide both sides by -10, remembering to flip the direction of the inequality when dividing by a negative number:

(-10x) / (-10) < 50 / (-10)

x < -5

This means that any value of x that is less than -5 will satisfy the original inequality. To express the solution using an inequality symbol, we write x ∈ (-∞, -5). The symbol (-∞, -5) represents the interval of all real numbers less than -5, including -5 itself.

For more such questions on inequality

https://brainly.com/question/25944814

#SPJ8

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

10 cm + 12 cm + 5 cm + 6 cm

= 33 cm

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

To learn more about Probability of blackjack

visit : brainly.in/question/15842745

#SPJ9

Answer:

$15,500

Step-by-step explanation:

It would help if you put the actual question in place

    10³ CDs = 1000 at $12 each    = $12000

+ 10² Players = 100 at $35 each = $  3500

Total                                                 $15500

103(12) + 102(35) = $4806

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

To know more about Shelter.

https://brainly.com/question/26279394

#SPJ11

Answer:

i cant see it

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

\(f(-5)=2(-5)^{2} -5\)

\(f(-5)= 2(25) -5\)

\(f(-5) = 50-5\)

\(f(-5) = 45\)

Answer:

y = -2x + 4  

Step-by-step explanation:

We are given that a line has a slope (m) of -2 and passes through (5, -6).

We want to write the equation of the line.

There are three ways to write the equation of the line:

Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.

As we are already given the slope, we can immediately plug that into the equation.

Substitute m with -2.

y = -2x + b

Now, we need to solve for b.

As the equation passes through (5, -6), we can use its values to help solve for b.

Substitute 5 as x and -6 as y.

-6 = -2(5) + b

Multiply.

-6 = -10 + b

Add 10 to both sides.

4 = b

Substitute 4 as b.

y = -2x + 4  

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

Find out more on prime numbers at https://brainly.com/question/29021547

#SPJ1

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

The Correct choice is :

As we know, line of symmetry divides a figure into two equal halves, where the two resultant figures are congruent to each other.

Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

The slope-point form is y + 1 = (1/4) (x +2)

The function notation for the point-slope form is f(x) = -1 + (1/4) (x +2)

From the graph, we get two points (x₁, y₁) = (-2, -1) and (x₂, y₂) = (2,0)

Slope, m = \(\frac{y_2-y_1}{x_2-x_1}\)

               = \(\frac{0 --1}{2--2}\)

               = 1/4

The slope-point form of a line is (y-y₁) = m(x-x₁), where (x, y) is the general point on the line, (x₁, y₁) is a given point on the line and m, the slope of the line.

So here the slope-point form of the line is,

(y- -1) = 1/4(x- -2)

⇒ y + 1 = (1/4) (x +2)

For the function notation, we put y = f(x) simply and write it as,

f(x) = -1 + (1/4) (x +2)

Learn more about slope-point form of a line at https://brainly.com/question/6497976

#SPJ9

the first one is c

the second is B

Step-by-step explanation:

Answer:

Xavier's age = 23

Yifei's age = 27

Step-by-step explanation:

Represent Yifei's age with Y and Xavier's age with X;

Given that the sum of their ages is 124;

X + Y = 124

Also, given that Yifei is 4 years older

Y = X + 4

Required

Find their age when they got married

From the parameters above, we've been able to form a simultaneous equation

\(X + Y = 124\)

\(Y = X + 4\)

Substitute X + 4 for Y in the first equation

\(X + X + 4 = 124\)

\(2X + 4=124\)

Subtract 4 from both sides

\(2X + 4 - 4 = 124 - 4\)

\(2X = 120\)

Divide both sides by 2

\(\frac{2X}{2} = \frac{120}{2}\)

\(X = 60\)

Substitute 60 for X in the second equation

\(Y = X + 4\) becomes

\(Y = 60 +4\)

\(Y = 64\)

To get their ages when they got married; we simply subtract 37 from their current ages

Xavier's age = 60 - 37

Xavier's age = 23

Yifei's age = 64 - 37

Yifei's age = 27

Answer:

Step-by-step explanation:

The graph of y=[x]-2 is the graph of the floor function shifted downward 2 units. The floor function takes any real number x and returns the greatest integer less than or equal to x. So, the graph of y=[x] is a series of horizontal steps with each step starting at an integer value of x and ending at the next integer value of x.

When we subtract 2 from the floor function, the entire graph shifts downward 2 units. So, each horizontal step of the graph of y=[x] is now 2 units lower than before.

Answer:

Setting can reveal the theme of the text because if the setting is a funeral, the theme may be about death or appreciation of life.

Answer: A

Step-by-step explanation:

The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

A. circle

Step-by-step explanation:

Answer:

A: Circle!

Step-by-step explanation:

Edge 2022

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

Learn more about differential equation here:

https://brainly.com/question/14620493

#SPJ4

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

Learn more about parallelograms in: https://brainly.com/question/29147156

#SPJ1

Answer:

11.5

Step-by-step explanation:

Given that :

I am in charge of the pressure reading in a compressed air tank of a processing plant.

The Gaussian distribution having a mean value = 69 psi

Standard deviation = 10 psi

Here we have to find the probability that the pressure will exceed 84 psi.

So,

\(P(X \geq 84) = P \left(\frac{X - 69}{10} > \frac{84-69}{10} \right)\)

                  \($=P(Z > 1.5)$\)

                  \($=1-P(Z < 1.5)$\)

                   = 0.115

                   = 11.5

The smallest possible solution for the given trigonometric equation is

approximately 0.42 radians

A trigonometric equation is one in which one or more unknown trigonometric ratios are involved. It is expressed using , cosine(cos),  cotangent(cot), sin(sin) ,secant(sec), tangent(tan) and cosecant(cosec) angles.

A few examples of trigonometric equations are:

A formula containing a variable and a trigonometric function is referred to as a trigonometric solution. For example, sin x + 2 = 1 is a trigonometric equation. The equations could be as simple as this or as complex as sin2 x -2 cos x -2 = 0.

sin ( 6 x ) cos ( 8 x ) − cos ( 6 x ) sin ( 8 x ) = − 0.75

Using the trigonometric formula for the compound angles we can simplify it as:

sin(6x-8x) = -0.75

or, sin(-2x) = -075

or, x = 0.4153.. +nπ

for n=0, x=0.42

Therefore the required solution is 0.42 radians.

To learn more about trigonometric equations visit:

https://brainly.com/question/22624805

#SPJ1

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

Step-by-step explanation:

Remark

You want the 60th term of the arithmetic (?) sequence given.

Formula

L = a + (n - 1)*d

Givens

L = ?

a =  8

d = 8

n = 60

Solution

L = 8 + (60 - 1)*8

L = 8 + 60*8 - 8

L = 480

Answer

The 60th term is 480

Answer:

Step by step explanation :

As we know

\(\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}\)

where,

an = the nth term in the sequence

n = the term

d = common difference

a = first term of the AP.

Here,

an = a60

n = 60

d = 16 - 8 = 8

a = 8

Now,

\(\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}\)

=> \(\:\mathsf{a60\:=\:8\:+\:(59)(8)}\)

=> \(\:\mathsf{a60\:=\:8\:+\:472}\)

=> \(\:\bf{a60\:=\:480}\)

Therefore the 60th term of the AP is 480.

We have the points R(1,3) and S(-2,6).

We have to calculate the mid point.

The mid point will have coordinates that are the average of each point's coordinate.

In this case, being M the mid point, the coordinate X will be:

The Y coordinate will be:

The midpoint between R and S is M=(-1/2, 9/2).

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

Find out more on system of equations at https://brainly.com/question/3978002

#SPJ1

40% means "40 out of 100"

    40 ÷ 100 = 0.40

So, 40% = 0.40 as a decimal

Answer:

Z

Step-by-step explanation: