Find the lateral area and the surface area of the regular pyramid

Answer:

Each price was 2.59

Step-by-step explanation: If you want to know the price for each jump rope and there are 2 of them you divide 12.78 by 2 =6.39. However during the sale the reduced the price by 1.90, but there are 2 jump ropes so I added 1.90 by 1.90 = 3.80. 6.39- 3.80 = 2.59.

Answer:

2.59

Step-by-step explanation:

The x-intercept of the graph is at the point (20, 0) and the y-intercept is at the point (0, 25).

To identify the x-intercept of a graph, we look for the point(s) where the graph intersects the x-axis.

At these points, the y-coordinate is always 0.

From the given information, we can see that the x-intercept occurs at x = 20 because at that point, the y-coordinate is 0.

To identify the y-intercept of a graph, we look for the point(s) where the graph intersects the y-axis.

At these points, the x-coordinate is always 0.

From the given information, we can see that the y-intercept occurs at y = 25 because at that point, the x-coordinate is 0.

In this case, the x-intercept is located at the point (20, 0) on the graph, which means when x = 20, the y-coordinate is 0.

This represents the point where the graph intersects the x-axis.

The y-intercept is located at the point (0, 25) on the graph, which means when y = 25, the x-coordinate is 0.

This represents the point where the graph intersects the y-axis.

Therefore, the x-intercept of the graph is at the point (20, 0) and the y-intercept is at the point (0, 25).

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Answer:

this is B I got this right on a quiz

Answer:

4100000

Step-by-step explanation:

4.1 take the point 41x1000=410000

The calculated value of the tenth term, b₁₀ of the sequence is 78732

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

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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1. The vertices of image are: N′(1, 2), M′(−2, 1), O′(−1, 3), graph is represented below.

2. The correct answer is (d) x-axis.

3. Line of reflection that produces Y'(9, 3) is the vertical line x = 0.

A line of reflection is a line that acts as a mirror, reflecting a point, a line segment, or a geometric shape over the line.

1. Keep in mind the following when reflecting over a vertical line in the form:  x = a is

\((x, y)\) → \((-x + 2a, y)\)

For reflected over x = -2, so a = -2, apply the above rule;

\((x, y)\) → \((-x + 2(-2))\)

\((x, y)\) → \((-x -4)\)

Apply the preimage reflection over x = −2

N(−5, 2) →  N′ (-(-5)-4, 2) →  N′(1, 2)

M(−2, 1)  → M′(-(−2)-4, 1)  → M′(-2, 1)

O(−3 , 3)  → O′(-(−3)-4, 3) → O′(−1, 3)

Therefore, the vertices of image are: N′(1, 2), M′(−2, 1), O′(−1, 3)

2. For graph ABCD;

Let's label the vertices of the original polygon as A(-6, -2), B(-4, 5), C(1, 5), and D(-1, -2). The vertices of the image polygon are A'(-6, 2), B'(-4, -5), C'(1, -5), and D'(-1, 2).

The midpoint of AA' is ((-6+(-6))/2, (-2+2)/2) = (-6, 0)

The midpoint of BB' is ((-4+(-4))/2, (5+(-5))/2) = (-4, 0)

The midpoint of CC' is ((1+1)/2, (5+(-5))/2) = (1, 0)

The midpoint of DD' is ((-1+(-1))/2, (-2+2)/2) = (-1, 0)

As we can see, all the midpoints lie on the line x = -2, which is vertical. Therefore, the line of reflection used to create the image is the vertical line x = -2.

So, the correct answer is (d) x-axis.

3. To determine the line of reflection that produces Y'(9, 3), we need to find the perpendicular bisector of the segment between Y(-9, 3) and Y'(9, 3).

The midpoint of YY' is ((-9+9)/2, (3+3)/2) = (0, 3).

The segment between Y(-9, 3) and Y'(9, 3) has a slope of (3-3)/(9-(-9)) = 0, which means it is a horizontal line.

The perpendicular bisector of a horizontal line is a vertical line passing through its midpoint. Therefore, the line of reflection that produces Y'(9, 3) is the vertical line x = 0.

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12 users use both Chrome and Internet Explorer.

Among 240 Microsoft Windows users, the number of users using Chrome is 65% and the number of users using Internet Explorer is 35%. Therefore, the number of users using at least one of the two browsers is 95%.To calculate the number of Windows users who use both Chrome and Internet Explorer, In the Venn diagram, the area marked as "Chrome only" is 65% - x, and the area marked as "Internet Explorer only" is 35% - x, since the total percentage of Microsoft Windows users who use either Chrome or Internet Explorer is 95%.

The sum of the four regions in the Venn diagram is equal to 100%.

Therefore,65% - x + x + 35% - x + x = 100%

Simplifying the above equation yields 100% = 2x + 100%- x = 5%x = 5/100 x 240 = 12

Hence, 12 users use both Chrome and Internet Explorer.

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Answer:

The median is: 5

Hope this helps! <3

Answer:

Step-by-step explanation:

5

Answer to the slope and y-intercepts at the top:

#2: slope = -3 & y-intercept = (0,5)

#3: slope = 1 & y-intercept = (0, 4)

#4: slope = 5/6 & y-intercept = (0, -3)

#5: slope = -3 & y-intercept = (0, -7)

#6: slope = 1/5 & y-intercept = (0, 2)

Answers for the equations at bottom:

#5: y = 4/9x + 7

#6: y = -x - 6

#7: y = 2x + 5

#8: y = -4x + 7

Hope this helps! :)

The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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A unit rate is about finding the quantity of one unit at a rate of one of another given unit.

3.6 pounds of ground beef is needed to make 10 hamburgers.

Option D is the correct answer.

A unit rate is about finding the quantity of one unit at a rate of one of another given unit.

We have,

Recipe:

25 hamburgers = 9 pounds of ground beef.

Divide both sides by 25.

1 hamburger = 9/25 pounds of ground beef.

Now,

The number of pounds of ground beef to make 10 hamburgers:

1 hamburger = 9/25 pounds of ground beef

Multiply 10 on both sides.

10 hamburgers = 10 x 9/25 pounds of ground beef

10 hamburgers = 3.6 pounds of ground beef.

Thus,

3.6 pounds of ground beef is needed to make 10 hamburgers.

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We are given the following:

The answer for P(B) would therefore be determined by the type of events that A & B are

Answer:

The program in Python is as follows:

age = int(input("Age: "))

if age>=13 and age <=19:

   print("Teenager")

else:

   print("Not a teenager")

Step-by-step explanation:

This gets input for age

age = int(input("Age: "))

This checks if age is between 13 and 19 (inclusive)

if age>=13 and age <=19:

If yes, the age is teenage

   print("Teenager")

If otherwise, the age is not teenage

else:

   print("Not a teenager")

Therefore the answer For shaded shape KLNM is 100.96cm

Define center angle?

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. The size of a central angle is measured in degrees or radians and is equal to the arc length it intercepts on the circumference of the circle.

A unit of measurement for angles that is approximately 57.3°, or the angle covered in the centre of a circle by an arc that is the same length as the radius.

According to the title

Make r1=14cm , r2=25cm

then

116°/360° × zπ r1 +116°/360°×zπ2

=78.96cm

so

78.96cm+2(r2-r1)

=100.96cm

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To bring the 2,000 kg wagon to rest, the buffer stop needs enough springs to absorb its kinetic energy. The number of springs and their stiffness can be calculated using given parameters and formulas.



To calculate the number of springs required in the buffer stop, we need to find the energy of motion that needs to be absorbed. The kinetic energy (KE) of the wagon is given by KE = (1/2)mv^2, where m is the mass (2,000 kg) and v is the velocity (0.69 m/s). The KE is 477.9 J.Next, we calculate the potential energy stored in the compressed springs. The compression distance is 15 cm, which is 0.15 m. The potential energy (PE) stored in each spring is given by PE = (1/2)kx^2, where k is the stiffness of the spring and x is the compression distance.

The total energy absorbed by all the springs is equal to the kinetic energy of the wagon. Therefore, the number of springs required is given by N = KE / PE, where N is the number of springs.To determine the stiffness of the spring, we use the formula k = (Gd^4) / (8nD^3), where G is the shear modulus (0.8 x 10^5 N/mm^2), d is the wire diameter (2 cm), n is the number of coils (15), and D is the mean diameter of the coils (20 cm).

By substituting the values into the equations, we can find the number of springs and the stiffness of each spring.

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The logistic model shows how the growth of a population is limited by its environment.

The differential equation that models the growth rate for the fish population with harvesting when a very anti-social species of fish will be harvested at a constant rate h and the intrinsic growth rate for the fish population is is given below:$$\frac{dN}{dt}= rN - hN$$Where N is the population of fish, t is time, r is the intrinsic growth rate, and h is the rate of harvesting. The first term in the above equation represents the population growth rate, and the second term represents the population loss rate due to harvesting. The differential equation is also known as a logistic model or Verhulst model. The logistic model, on the other hand, takes into account limiting factors such as the population size and resources available.

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Answer:

c then d my man I got you maybe

Answer:

6.5

Step-by-step explanation:

In this question, we are tasked with calculating the mean temperature for the first 8 days.

since we we have the mean temperature for the first 7 days, the total temperature is thus 7 * 6 = 42

Now, on the 8th day, temperature is 10, this brings total temperature to 42 + 10 = 52

The mean temperature for the first 8 days ys therefore; 52/8 = 6.5

The plane EFG  in the rectangular prism is parallel to plane ABC.

In this question, we have been given the rectangular prism ABCDEFGH

We need to find the plane which is parallel to plane ABC.

We can observe that in given rectangular prism,

plane ABH is parallel to the plane CDF

plane BCE is parallel to the plane AGF

plane EFG is parallel to plane ABC.

Therefore, the plane EFG  in the rectangular prism is parallel to plane ABC.

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Answer:

y=-5x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-16-(-6))/(4-2)

m=(-16+6)/2

m=-10/2

m=-5

y-y1=m(x-x1)

y-(-6)=-5(x-2)

y+6=-5(x-2)

y+6=-5x+10

y=-5x+10-6

y=-5x+4

Answer:

80

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

Answer:

it is 80

Step-by-step explanation:

dont ask me to explain

The value of (3.9 × 10⁻³) + 0.0026 in scientific notation is 6.5 × 10⁻³.

Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.

Decimal number system describes the base 10 number system.

Given are numbers 3.9 × 10⁻³ and 0.0026 added together.

We have to do it in scientific notation.

0.0026 can be written as 2.6 × 10⁻³.

Adding these two numbers together, and taking the common term,

(3.9 × 10⁻³) + (2.6 × 10⁻³) = (10⁻³) (3.9 + 2.6)

                                        = (10⁻³) (6.5)

                                        = 6.5 × 10⁻³

Hence the answer of the sum of (3.9 × 10⁻³) + 0.0026 is 6.5 × 10⁻³ in scientific notation.

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Answer:

3/14 as a fraction or 0.21428571428 as a decimal

Step-by-step explanation: