Zombies scare everyone and a mummy is much like a zombie. In fact, their equations are parallel to each other. If the zombie equation is `y=7x+5` and the mummy equation passes through the point (3, 23), what is the mummy's equation?

Answer:

53.9

Step-by-step explanation:

:)

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

\(\boxed{\text{\sf \Large 3}}\)

Step-by-step explanation:

Angles in a triangle add up to 180°

\(180-(24x+3+25x)\)

\(-49x+177\)

Angles on a straight line add up to 180°

\(-49x+177+150=180\)

\(x=3\)

Answer:

4 gallons of gasoline the car has left after it has traveled 330 miles.

Step-by-step explanation:

We are given with the following data of Distance Traveled and Gas Left in Tank below;

   Distance Traveled (in miles)       Amount of Gas Left in Tank (in gallons)

                 0                                                            15

                90                                                           12

               180                                                            9

               270                                                           6

               330                                                           ?

As we can see from the table that for every 90 miles of distance traveled, there has been a reduction of 3 gallons of gas which is left in the tank, i.e;

From 90 to 180 - Gas reduced from 12 to 9

This means that in 1 gallon of gas, the distance traveled is =  \(\frac{90}{3}\) = 30 miles

So, from distance 270 to 300, the amount of Gas Left in Tank = 6 - 1 = 5 gallons

From distance 300 to 330 miles, the amount of Gas Left in Tank = 5 - 1 = 4 gallons

Hence, 4 gallons of gasoline is left after the car has traveled 330 miles.

Answer:

k=1

Step-by-step explanation:

\(3k + 8 = 11\\\)

Subtract 8 from both sides

\(3k = 3\)

Divide

\(\frac{3k}{3} = \frac{3}{3}\)

Simplify

\(k =1\)

Answer:

k=1

Step-by-step explanation:

To code a single categorical variable with 8 levels, 7 indicator variables are needed.

What is an Indicator Variable?

An indicator variable is a binary variable that takes on only one of two possible values. An indicator variable equals one if a specified condition is met, and zero if it is not. Indicator variables are commonly used in regression analysis and can be used to code categorical variables with multiple categories. Indicator variables are also known as dummy variables or binary variables. They are used to represent qualitative factors in quantitative terms. Indicator variables are used to convert a categorical variable into a series of binary variables that can be used in a statistical model. By doing so, it is possible to compare the relationship between each level of the categorical variable and the outcome variable. In summary, to code a single categorical variable with 8 levels, 7 indicator variables are needed.

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Answer:

The discount was \(47\frac{6}{7}\)%

Step-by-step explanation:

In order to find out the discount will have to do the following.

First find out what part of the origin price was taken of, so we create a fraction with the denominator being the original price and the numerator being the difference between the original price and the discount price. So we do.....

\(\frac{28.00-14.60}{28.00} = \frac{2800 - 1460}{2800} = \frac{1340}{2800} = \frac{67}{140}\)

Now we have to find a fraction with the same value but with the denominator being a 100, so we do.....

\(\frac{67 / 1.4}{140/1.4}= \frac{47\frac{6}{7} }{100}\)

From this we know that the the discount in percentages will be equal to \(47\frac{6}{7}\)%

Answer:

52.1428571429

Step-by-step explanation:

14.60 × 100 = 1460

1460 ÷ 28 = 52.1428571429

The wide is the gym in the drawing is 5

In the given statement is

Cassie measured the middle school and made a scale drawing. The scale of the drawing was 1 inch : 9 feet. the actual width of the gym is 45 feet.

To find how wide is the gym in the drawing

Now, According to the question

and, Based on the given conditions

=45 x1/9

=45/9

=5

Thus, The wide is the gym in the drawing is 5

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The length of the guy wire is 630 ft

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

If a and b are the legs of the triangle and c is the hypotenuse of the triangle, then,

c² = a² + b²

Pythagoras theorem is applicable to only right angled triangle.

Using Pythagorean theorem, the length of the guy wire

b² = 344000

a² = 52900

l =√ 344000 + 52,900

l = √ 396900

l = 630

The length of the guy wire 630 feet

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Using the two parallel line theorems we proved that ∠8 ≅ ∠4.

In the given question,

Given: f || g

Prove: ∠8 ≅ ∠4

We using given diagram in proving that ∠8 ≅ ∠4

Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So

∠8≅∠6

Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."

∠6≅∠4

Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."

∠8 ≅ ∠4

Hence, we proved that ∠8 ≅ ∠4.

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The reason for ∠8 ≅ ∠4 is alternate exterior angles

The question has to do with finding the proven with the given.

We have been given line f is parallel to line g.

We need to prove angle 8 is congruent to angle 4.

From given figure we observe that line f || line g and these parallel lines are intersected by a transversal.

And the angle 8 are angle 4 are alternate exterior angles.

We know that alternate exterior angles are congruent.

so, ∠8 ≅ ∠4

Therefore, the reason for ∠8 ≅ ∠4 is alternate exterior angles

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A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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The perimeter of trapezium, is 0.92 meters. And 0.92 meters in millimeters is 920 mm. Therefore, option B is the answer.

Let's name the trapezium as ABCD.

AB= 0.41m

BD= 0.21m

CD= 0.18m

AC= 0.12m

∴ AB and CD are parallel sides and AC and BD are oblique sides.

The perimeter of trapezium = Sum of parallel sides + Sum of oblique sides

The perimeter of trapezium = (AB+CD) + (AC+BD)

                                                = (0.41+0.18) + (0.12+0.21)

                                                = 0.59 + 0.33

∴ The perimeter of trapezium ABCD = 0.92 meters.

Converting 0.92 meters into millimeters (mm)

0.92 × 1000 = 920 millimeters (mm)

Therefore, the perimeter of trapezium in millimeters is 920 mm.

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Answer:

a reflection across the y axis

Answer:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

2x-3 = -2x + 5

4x = 8

x = 2

y = 2*2 - 3 = 1

(2 ;  1)

you have to draw the 2 lines

the solution will be the intersection point of the 2 lines

Answer:

[D] (2,1)

Step-by-step explanation:

Given;

y=2x-3

y=-2x + 5

Solve;

y = 2x - 3 . . . [Equation 1]

y = -2x + 5 . . . [Equation 2]

[Equating 1  and 2]

2x - 3 = -2x + 5

2x + 2x = 5 + 3

4x = 8

x = 8/4 = 2

x = 2

y = 2(2) - 3 = 4 - 3 = 1

y = 1

Solution = (2, 1)

Hence, Answer = [D] (2,1)

~Learn with Lenvy~

Answer:

The formula for the circumference of a circle is C = 2πr, where r is the radius and π is approximately 3.14.

In this case, the radius is 1 foot, so:

C = 2πr

C = 2(3.14)(1)

C = 6.28

Therefore, the circumference of the circle is approximately 6.28 feet.

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

Answer:

7 and 4

Step-by-step explanation:

Answer:

7 and 4

Step-by-step explanation:

Let the number of hours Donnell practiced be d

and the number of hours Marcus practiced be m.

We can set up a system of equations.

d = m + 3

m + d = 11

Substitute the value of d that's in the first equation, into the second equation.

m + (m + 3) = 11

2m + 3 = 11

2m = 8

m = 4

Marcus practiced for 4 hours. Since Marcus and Donnell, together, practiced 11 hours, Donnell practiced for 11-4=7 hours.

Answer:D

Step-by-step explanation:

6 Need to increase the number of workers.

Now, According to the question:

A building company used 24 worker to prepare a building site.

The site measured 30 acre and the work was completed in 10 day.

The company is asked to prepare another site measured 45 acre.

This work has to be completed in 15 days.

To find the least amount of worker the company should employs for this work.

=> 30 ÷ 10 = 3 Daily worked of 24 workers.

=>3 ÷ 24 = 1/8 Daily worked of 1 worker.

=> 45 ÷ 12 = 15/4 The amount of work that the project needs to complete each day

=> 15/4 ÷ 1/8 = 30 Number of workers needed.

=> 30 - 24 =  6 Need to increase the number of workers.

Hence, 6 Need to increase the number of workers.

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Answer:

720

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180

=720

The total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

Derek plans to deposit $6,460.00 per year for 21.00 years into an account with an annual interest rate of 14.00%. The first deposit will be made next year.

To calculate the total amount in the account 40.00 years from today, we need to consider the annual deposits, the interest earned, and the compounding effect over the years.

The annual deposit is $6,460.00, and the duration of deposits is 21.00 years.

Therefore, the total amount of deposits made over the 21.00 years will be 21.00 × $6,460.00 = $135,660.00.

To calculate the future value of the deposits and the interest earned, we can use the compound interest formula:

Future Value = Principal × \((1 + interest\, rate)^{number\, of\, periods}\)

In this case, the principal is $135,660.00, the interest rate is 14.00%, and the number of periods is 40.00 years.

Future Value = $135,660.00 × \((1 + 0.14)^{40}\)

Future Value = $135,660.00 × \((1.14)^{40}\)

Future Value = $135,660.00 × 45.094

Future Value = $6,120,433.84

Therefore, the total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

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The ratio of surface areas of two similar solids is 4:81. Therefore, the correct answer is option B.

Given that, the ratio between the lengths of their edges is 2:9.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Let the ratio of area is x:y.

Here, x/y = 2²/9²

x/y = 4/81

Therefore, the correct answer is option B.

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6,438,593

The answer would be: 6,439,000

5 or higher gets the next number to round up meaning that because of the 5 in 593 would make the 8 in the thousands place round up to 9.

Glad I could help! (:

Answer:

The equation for the slope-intercept form is y = 4x - 10

Hope this helps!

Step-by-step explanation:

Slope = \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)   Equation = y = mx + b

The two points given are ( -5, 10 ) and ( 0, -10 ).

Putting in the values gives you \(\frac{-10-10}{0-(-5)} = \frac{-20}{5} =-4\).

y = 4x + b, to find b, insert one of the points:

-10 = 4(0) + b    ->   -10 = 0 + b,    b = -10

Putting it all together gives you y = 4x - 10

As per the given conditions function g(x) = [ 1 / (x- 3)] -5.

"The graph of y=f(x)+k (where k is a real number) is the same as the graph of y=f(x) only it's shifted up (when k>0) or down (when k<0). Similarly, the graph of y=f(x-h) (where h is a real number) is the same as the graph of y=f(x) only it's shifted to the right (when h>0) or to the left (when h<0)."

According to the question,

We have

Parent function f(x) = 1/x

Function f(x) shifted down = 3 units

Function f(x) shifted right = 5 units

The graph of reciprocal.

parent function f(x) = 1/x is shifted 3 units down then

f(x) = \(\frac{1}{x - 3}\)

5 units to the right to create the graph g(x)

g(x) =  \(\frac{1}{x - 3} - 5\)

Hence, option D is the correct answer.

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Answer:

9750= 12w + 15z  

W= 250  

Z= 450

1 block of Mahogany is $450.

Step-by-step explanation:

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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