Activity a1 takes 5 weeks a2 takes 8 weeks and a3 takes 2 weeks. what is the slack of a3?

Answer:

A. Additive Inverse Property

Step-by-step explanation:

The additive inverse property states that when you change the sign of the number and add it to the original number, the answer will equal 0.

hope this helps :)

Answer:

The answer is additive inverse property.

Step-by-step explanation:

This is because you are adding the inverse number of 3x, which gives you zero.

Answer:

A.) 34 = 10 + 4x

Step-by-step explanation:

This equation would mean the customer rented one bike ($10) plus the hours they had it ($4 per hour) for x hours.

That means the equation would look like this 10 + 4x = 34

Answer:

Step-by-step explanation:

(-10,0)(0,-4)

find slope

m=-2/5

b=-4

y=-2/5x-4

Answer:

y=mx+b

y=-2/5x -4

(-10,0),(-5,-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,

Sum of interior consecutive angles should be 180°.

(Property of the angles formed between parallel lines and a transversal line)

Therefore, 114° + 64° = 180°

178° = 180°

Which is not true.

Therefore, lines 'm' and 'n' are not the parallel lines.

Answer:

\(\displaystyle S_{27}=675\)

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

\(\displaystyle S_N=\frac{N}{2}(F+L)\)

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

\(\displaystyle S_{27}=\frac{27}{2}(12+38)\)

\(\displaystyle S_{27}=\frac{27}{2}(50)\)

\(\displaystyle S_{27}=27*25\)

\(\mathbf{\displaystyle S_{27}=675}\)

Answer:

2837x/16

Step-by-step explanation:

hope this helps - NICK

Answer:

7772.625

Step-by-step explanation:

Given;

\(98\times47\div32\times54\)

Solve;

\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)

\(Multiply\:and\:divide\:\left(left\:to\:right\right)\)

\(98\cdot \:47=4606\)

\(=4606\div \:32\cdot \:54\)

\(4606\div \:32=\frac{4606}{32}\)

\(=\frac{4606}{32}\cdot \:54\)

\(=\frac{62181}{8}\)

= 7772.625

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Answer:

Step-by-step explanation:

You need to paint a decorative garden ornament that is in the shape of pyramid with a square base that is 3 inches long and has a slant height of 13 inches.

a. A smaller pyramid has linear dimensions that are 3/4 times that of the larger pyramid. Does the smaller pyramid require 3/4 times the amount of paint? Explain: Answer: Yes

b. Another pyramid has triple the base lengths but the same slant height. Does this pyramid require triple the paint as the original pyramid? Explain.                      Answer: No

The value of R2 always lies between 0 and 1.The value of R2 represents the proportion of the variation in the dependent variable that can be explained by the independent variables, ranging from 0 to 1.

The value of R2, also known as the coefficient of determination, measures the goodness of fit of a regression model. It represents the proportion of the total variation in the dependent variable that is explained by the independent variables in the model.

R2 ranges between 0 and 1, where 0 indicates that the independent variables have no explanatory power and cannot predict the dependent variable's variation. On the other hand, an R2 value of 1 indicates that the independent variables perfectly explain all the variation in the dependent variable.

An R2 value greater than 1 or less than 0 is not possible because it would imply that the model explains more than 100% or less than 0% of the dependent variable's variation, which is not meaningful. Therefore, the value of R2 always lies between 0 and 1, providing a measure of the model's explanatory power.

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Answer:

31.42

Step-by-step explanation:

C=2πr

d= 2r

Solving for C

C = πd = π·10 ≈ 31.41593

Answer:

(a) 31.4 in (b) 37.68 mm

Step-by-step explanation:

a- The circumference of a circle of radius r - or diameter d, is,

C=2\(\pi r\)=\(\pi d\)

In this case, we have that the diameter of the circle is d = 10in. If we use 3.14 for π, the circumference is,

\(C=\pi xd=3.14x10in=31.4in\)

b- - The question gives us a circle with a radius of 6mm and we are asked to find the circumference of the circle.

- To find the circumference of a circle, we simply need to apply the formula for finding the circumference of a circle.

- The formula for the circumference of a circle is:

C=2\(\pi \)×r

where,

r=radius

C= circumference of the circle:

- Thus, we can find the circumference of the circle as follows

r= 6mm

\(\pi \)=3.14

C=2×3.14× 6mm

C= 37.68mm

Final Answer

The circumference of the circle is 37.68 mm

Answer:

the answer is 60

Step-by-step explanation:

so you see that there's 20 percent right, you find what number u can add it by to get 100, so 80+20=100 so u do that and put it in a decimal form which is 0.8 and you multiply it by the price so 0.8 x 75= 60

Answer:

12/20

60%

Step-by-step explanation:

A fraction has a numerator and denominator

The numerator is the total number of heads

The denominator is the total number of times the coin was flipped

\(\frac{12}{20}\)

To express in percent form, multiply by 100

\(\frac{12}{20}\) x 100 = 60%

To calculate the distance between the southeast corner of section 4 and the northwest corner of section 34 in a given township, we need to consider the dimensions and layout of the township.

In a township, there are 36 sections arranged in a 6 by 6 grid, numbered from 1 to 36. Each section is typically a square with equal dimensions.

To find the distance between the southeast corner of section 4 and the northwest corner of section 34, we can calculate the number of sections between them in the horizontal and vertical directions.

Starting from section 4, we move horizontally to the right by 3 sections (since section 4 is in the first column and we need to reach the fourth column).

Then, we move vertically upwards by 5 sections (since section 4 is in the sixth row and we need to reach the first row).

So, the southeast corner of section 4 is 3 sections to the right and 5 sections upwards from the northwest corner of section 34.

Next, we need to consider the dimensions of each section. If each section has a side length of "d" units, the distance between the southeast corner of section 4 and the northwest corner of section 34 can be calculated as follows:

Distance = √((3d)^2 + (5d)^2)

= √(9d^2 + 25d^2)

= √(34d^2)

= √34d

Therefore, the distance between the southeast corner of section 4 and the northwest corner of section 34 is √34 times the side length "d" of each section in the township.

The specific value in units would depend on the given dimensions of each section

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The continuous compounding equation shown the value of the account after t years is given as follows:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is of 8.22%.

The balance of an account after t years of continuous compounding is given by the equation presented as follows:

\(A(t) = A(0)e^{kt}\)

In which the variables of the equation are described as follows:

In the context of this problem, the values of these parameters are given as follows:

A(0) = 8000, k = 0.079.

Hence the equation is:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is calculated as follows:

\(e^{k} - 1 = e^{0.079} - 1 = 1.0822 - 1 = 0.0822 = 8.22\%\)

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Answer:

76 passengers

Step-by-step explanation:

100-36 is 64 and that makes 64 + 36 =100-30 is 70% and we have 36 + 40 =76

There were 300 passengers.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

Fraction of British = 2/5

Percent of British men = 30%

Number of British men = 36

let the British passenger be x

30 /100 * x= 36

x=120

and let the total passenger by y

2/5 of y = 120

y= 120 * 5/2

x= 300

Hence, there were 300 passengers.

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To solve this problem, we'll use the concept of permutations.

First, we need to choose a woman for the position of president, then another woman for the position of vice president, and finally, a man for the treasurer position.

1. President: Since there are 20 women, we have 20 options for the president position.
2. Vice President: We're left with 19 women (since we already chose one for the president), so we have 19 options for the vice president position.
3. Treasurer: Since there are 17 men, we have 17 options for the treasurer position.

Now, multiply the number of options for each position together to find the total number of ways to form the committee:

20 (president) × 19 (vice president) × 17 (treasurer) = 6,460 ways.

So, there are 6,460 possible ways to choose three different members with women as president and vice president and a man as treasurer.

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Answer:

64 ft

Step-by-step explanation:

The perimeter of the drawing is

2(3.25 in. + 4.75 in.) = 16 in.

Now we use the scale to find the real perimeter.

1 in. : 4 ft

16 * 1 in. : 16 * 4 ft

16 in. : 64 ft

The real perimeter is 64 ft.

Answer:

x = 3

Step-by-step explanation:

x = -1

7(3^(‐1 - 1)) <= 4^-1

7(3^-2) <= 1/4

7/9 <= 1/4

no, wrong.

x = 2

7(3^(2 ‐ 1)) <= 4²

7(3¹) <= 16

21 <= 16

no, wrong.

x = 3

7(3^(3 - 1)) <= 4³

7(3²) <= 64

7×9 <= 64

63 <= 64 correct

so, 3 is the correct answer.

Answer:

29

Step-by-step explanation:

The total number of apps can be determined by multiplying the number of rows of apps by the number of apps in each row:

6*8 = 48

If she deleted 19 apps, then:

48-19 = 29 apps

Therefore if she deleted 19 apps she'd have 29 remaining.

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Done

Step-by-step explanation:

Missing reasons:

Answer:

Correct Answer: Option D

Step-by-step explanation:

9 1/3

hope that helps

The equation which is graphed in this figure (see attachment) is: C. y + 2 = −3/2(x − 2)

"y plus 4 equals negative fraction 3 over 2 end fraction left parenthesis x minus 2 right parenthesis."

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

From the information provided about this graph, we have the following data points on its line:

Points on the x-axis = (0, 2).

Points on the y-axis = (1, -2).

At data point (0, 3), a linear equation of the first line can be calculated in slope-intercept form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-2) = (-2 - 1)/(2 - 0)(x - 2)

y + 2 = -3/2(x - 2)

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The width of the rectangle is x + 4

Since the area of the rectangle is x^2 + 15x + 44, the product that give the value can be solved by factorization

To factorize the expression x^2 + 15x + 44, we need to find two numbers whose product is 44 and whose sum is 15. These numbers are 11 and 4, because 11 times 4 is 44 and 11 plus 4 is 15.

Now we can write the expression as:

x^2 + 11x + 4x + 44

Grouping the terms in pairs:

(x^2 + 11x) + (4x + 44)

Factoring out the greatest common factor from each pair:

x(x + 11) + 4(x + 11)

Now we can see that we have a common factor of (x + 11):

(x + 11)(x + 4)

Therefore, the factored form of x^2 + 15x + 44 is:

(x + 11)(x + 4)

the width of the rectangle is x + 4

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Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.

Step-by-step explanation:

At t = 0   the graph shows the initial height to be 12 544 ft

The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

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the total money will be spent is 47.4 ∈.

What is trapezoid?

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or polygon with four sides. It has a set of parallel opposite sides as well as a set of non-parallel sides. The bases and legs of the trapezoid are referred to as parallel and non-parallel sides, respectively. A trapezoid is a four-sided closed 2D figure with a perimeter and an area. The bases of the trapezoid are two of the shape's sides that are parallel to one another. The legs or lateral sides of a trapezoid are its non-parallel sides. The altitude is the shortest distance between any two parallel sides.

Here the parallel sides are given 12m and 20m.

The perpendicular line will be the fence

so the other line is given 17m.

The area of the trapezoid is (a+b/2)*h

h =√17²-8² =15

So the area will be 12+20/2 * 15

A= 16*15 = 240m²

For 100 m² cost 19.75

For 240 it will be 19.75/100 * 240= 47.4

Hence the total money will be spent is 47.4 ∈.

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Answer:

D

Step-by-step explanation:

hope it will help you that's all I can do

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

The equation to find the number of hours, t, until Patty and Carol are at the same location is: 70t + 50t = 300.


1. Patty and Carol start driving at the same time, towards each other on the same highway.
2. The distance between their cities is 300 miles.
3. Patty drives at an average speed of 70 mph, so in t hours she covers 70t miles.
4. Carol drives at an average speed of 50 mph, so in t hours she covers 50t miles.
5. As they drive towards each other, the sum of the distances they cover should equal the total distance between their cities.
6. Therefore, combining the distances covered by Patty and Carol, we get: 70t (Patty's distance) + 50t (Carol's distance) = 300 (total distance).

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The total amount lost by the company is the product of the number of tubes given away and the cost per tube, which is $1015

Given the Parameters :

The number of free tubes given away can be calculated thus :

Total Number of tubes given away = 140 tubes of paint

Total amount lost = Cost per tube × number given away

Therefore, the total amount lost during the giveaway is $1015

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