The formula for glue says to add 55ml of hardener to each container of resin. How much hardener should be added to 18 containers of resin?

Write your answer in liters.

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Answer:

17

Step-by-step explanation:

step-by-step explanation

I am a little confused by the wording on the question. It says "within the circle" but the image is of 2 squares.

I am just going to answer it as if the question said "probability that a randomly selected point within the square falls in the red shaded square."

So red square area = 3 x 3 = 9.

The area of the bigger square = 4x4 = 16.

The prob of landing in that red square = 9/16 = 0.5625 or approx 56%.

Answer:

ez the answer is 360000000

Step-by-step explanation:

Answer:

the answer is 360000000

Step-by-step explanation:

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

Answer:

2x-9

Step-by-step explanation:

substitute g into f

2(x-5)+1

2x-10+1

2x-9

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Answer:

Step-by-step explanation:

3x-x+= 2x

10+ 12= 22

Answer - 2x+22

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer:

The total number of students is > 160.

The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.

There are 1,600 students in the school.

Step-by-step explanation:

got is correct

Answer:

2,3,5 for eg. 2020

Step-by-step explanation:

Answer:

7250%

Step-by-step explanation:

To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.

72 1/2 is equivalent to 72.5 as a decimal.

To convert it to a percentage:

72.5 * 100 = 7250

Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.

let me know it is helpful for you or not

Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Yes, I agree that 0.777 and 7/9 are equivalent.

The decimal 0.777 represents the fraction 7/9 in base 10. In base 10, the digit 7 in the tenths place represents 7/10, the digit 7 in the hundredths place represents 7/100, and the digit 7 in the thousandths place represents 7/1000. When these values are added together, the result is 7/10 + 7/100 + 7/1000, which simplifies to 7/10 + 7/100 + 7/1000 = 7/10 + 7/100(10/10) + 7/1000(10/10)(10/10) = 7/10 + 7/10 + 7/10 = 21/10 = 7/3.

Since 7/3 can be simplified to 7/9, 0.777 is equivalent to 7/9.

Therefore, Brandon's statement that 0.777 and 7/9 are equivalent is correct.

Answer:

The answer is A

Step-by-step explanation:

Answer:

y=1/2x

Step-by-step explanation:

math is math ‍

The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

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Answer:

No solution.

Step-by-step explanation:

So lets solve the square root.

Sqrt(y^2 - 20 + 100) = y - 10

Sqrt(y^2 + 80 = y - 10)

Solve time.

y^2 + 80 = y - 10 (We are squaring them)

y^2 + 80 = y^2 - 20y + 100

y^2 + 80 - y^2 = y^2 - 20y + 100 - y^2 (Subtract y^2 from both sides)

80 = -20y + 100

Flip it

-20y + 100 = 80

-20y + 100 - 100 = 80 - 100 (Subtract 100 from both sides)

-20y = -20

Now divide both sides by -20

-20y/-20 = -20/-20

y = 1

All you would do is plug in the values and you get...

\(9 \neq -9\)

This is false.

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

Explanation:

Here, we want to find the slopes and lengths of the sides of a quadrilateral

To find the slopes, we use the equation:

To find the length, we use the equation:

We take the sides one after the other

a) HI

We have the slope as:

We have the length as:

b) IJ

We have the slope as:

We have the length as:

c) JK

Slope:

Length:

D) KH

Slope:

Length:

From the answers obtained, the side lengths KH and IJ are the same, while the side lengths JK and KI are the same

Also, looking at the slopes, when the product of the slopes of two lines equal -1, the two lines are perpendicular

Since:

We can conclude that a set of two sides(KH, JK and HI, IJ) are perpendicular

Thus, we have it that the quadrilateral is a rectangle

Hey there!

\(0.875:1/4\/\\\textmd{To Simplest form}\)

\(0.875\) ÷ \(\frac{1}{4}\)

\(=3.5\)

Your final answer would be 3.5.

Hope this helps!

Answer:

33 units³

Step-by-step explanation:

Volume of a rectangular prism

\(\sf Volume = Area\:of\:base \times height\)

From inspection of the given diagram:

Substitute the given values into the formula and solve for volume:

\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)

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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)

\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)

\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)

\(\\ \tt\dashrightarrow Volume=3(11)\)

\(\\ \tt\dashrightarrow Volume=33units³\)

Answer:

x=(-7+√13)/6

or

x= (-7 -√13)/6

Step-by-step explanation:

0.03x^2 = 0.07x + 0.03=0

first, multiply everything by 100 to make life easier

3x^2 +7x+3=0

then use quadratic formula

D=b^2 -4ac

D=49-3*3*3 = 13

x=(-7+√13)/6

or

x= (-7 -√13)/6

There is only one integer value of a for which the equation \(x^2 + ax + 8a = 0\) has integer solutions for x.

The given equation is a quadratic equation in the variable x, with coefficients a and 8a.

The discriminant of a quadratic equation of the form \(ax^2 + bx + c = 0\) is given by the expression \(D = b^2 - 4ac\). For the given equation \(x^2 + ax + 8a = 0\), the discriminant is:

\(D = a^2 - 4(1)*(8a)\)

\(D = a^2 - 32a\)

For the given equation to have integer solutions for x, the discriminant D must be a perfect square, since the solutions for x would then be rational numbers. In other words, D must be a perfect square of an integer.

We can set up the inequality:

\(a^2 - 32a = m^2\), where m is an integer (to represent a perfect square)

Rearranging the equation, we get:

\(a^2 - 32a - m^2 = 0\)

Now, considering this as a quadratic equation in a, we can apply the discriminant condition for this quadratic equation to have integer solutions:

\(D' = 32^2 - 4*(1)*(-m^2) = 1024 + 4m^2\)

For this quadratic equation to have integer solutions for a, the discriminant D' must be a perfect square, since the solutions for a would then be rational numbers.

So, we need to find integer values of m for which \(1024 + 4m^2\) is a perfect square.

For m = 0, we have D' = 1024, which is a perfect square \((32^2)\).

For m = 1, we have D' = 1028, which is not a perfect square.

For m = 2, we have D' = 1036, which is not a perfect square.

For m = 3, we have D' = 1048, which is not a perfect square.

And so on...

We can see that for m = 0, we get a perfect square for D', but for all other integer values of m, D' is not a perfect square.

So, the given equation\(x^2 + ax + 8a = 0\) has integer solutions for x for only one integer value of a, which is a = 0.

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