(8x10^-3) ÷ (2x10^-4)​

Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

...I think that is is...

36 gallons of the 55% brand and 24 gallons of the 30% brand of antifreeze must be used.

The percentage is defined as a ratio expressed as a fraction of 100.

Let x denote the amount of 30% pure antifreeze required in the combination.

The quantity of the 55% brand is then calculated (60-x).

The pure antifreeze content of the combination as:

⇒ 0.30x +0.30(60 -x) = 0.45 (60)

When we subtract 0.30(60), we get

x(0.55 -0.30) = 60(0.45 -0.30)

To simplify, divide by the coefficient

x = 9/0.25 = 36 .

Therefore, 36 gallons of the 55% brand and 24 gallons of the 30% brand of antifreeze must be used.

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Answer:

sixty seven thousand two hundred thirty five

Answer:

Sixty seven thousand tow hundred thirty five

Answer:

its 91

Step-by-step explanation:

Answer:

24 cm ( squared )

Answer:

C

Step-by-step explanation:

To find surface area of a cube you find the area of a side and multiply it by 6

In this example, 2 times 2=4

4 times 6 is 24

24

Hope this helped

Answer:

Step-by-step explanation:

This is  the method I am familiar with.

I Hope It helps :)

\(METHOD- 1 : Elimination\\6x - 2y=10------(1)\\2x+3y =51------(2)\\Multiply -eq-(1)- by -the-coefficient-of-x-in-equation (2)\\Multiply-eq-(2) -by -the-coefficient-of-x-in-equation (1)\\6x - 2y=10------(1) *2\\2x+3y =51------(2)*6\\\\12x-4y=20 ------(3)\\12x+18y=306 ------(4)\\Subtract -eq- (4)- from- eq -(3)\\-22y =-286\\\frac{-22y}{-22} =\frac{-286}{-22} \\y =13\\\)

\(Substitute- 13- for y -in-equation -(1)-or-(2)\\6x - 2y=10------(1)\\6x -2(13)=10\\6x -26=10\\6x =10+26\\6x =36\\\frac{6x}{6} =\frac{36}{6} \\x =6\)

Answer:

Correct answers is

Step-by-step explanation:

1. 3

2. B

3. 6

4. (6,13)

1) The amount is php 340,060

2) The rate is 13%

3) The amount is  php 137,622

Compound interest is commonly used in many types of financial products, such as savings accounts, CDs, and loans.

1)

\(A = P(1 + r/n)^nt\\A = 80000( 1 + 0.16)^9.75\\A = php 340,060\)

2)

\(12300 = 9750(1 + r)^2\\12300/9750 = (1 + r)^21.26 = (1 + r)^2\\ln 1.26 = 2 ln1 + r\\ln 1.26/2 = ln1 + r\\0.12 = ln1 + r\\e^{0.12} = 1 + r\\r = e^{0.12} - 1\\r = 0.13\\r = 13%\)

3)

\(A = 50000(1 + 0.15/2)^2 * 7\\A = php 137,622\)

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Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Answer:

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

Step-by-step explanation:

1) Consider the Polynomial as such: 4x^2 + 0xy -25y^2

2) Consider also that (4x^2 + 10xy) + (-10xy - 25y^2) would be the best way to arrange the factoring.

3) then you take 2x out from each equation to get: (2x)(2x+10y) (-2y -25y^2)

4) then you take -5y out to get: (2x-5y)(2x+5y)

Answer:

3 terms

Step-by-step explanation:

There are 3 terms: 7y, 4z, and 9. To explain simply, terms are a letter, number, or a group of letters and numbers that are multiplied, but not added or subtracted.

Answer:

At most 5

At least 0

Step-by-step explanation:

22 - 17 = 5

You can't have no more than 5, and you can have none join at all.

Answer:

At the most, it will be 5

At least  it will be 0

You can't have anymore than 5, and you can have none join at all.

Step-by-step explanation:

22 - 17 = 5

You can't have anymore than 5, and you can have none meet at all.

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

In this case value of x is 24 inches.

How can we explain this ?

In the given situation we can see that one angle is equal in both the triangles, reflex angles are going to be equal as per theorem of reflex angle. therefore when two angles are equal then in that case third angle of both the triangles are going to be equal.

As per given situation parallel sides of both the triangles are 5 and 15 simultaneously which means one side of larger triangle is 3's that of the smaller triangle. Keeping in mind this situation we can say that value of x will be 3*8=24 inches.

An equilateral triangle is a type of triangle in which all three sides are of equal length, and all three angles are also equal to 60 degrees.

In an equilateral triangle, the three angles are congruent, meaning they are all the same measure. They measure 60 degrees each.

Also, the three medians, angle bisectors, and altitudes of an equilateral triangle are concurrent at the centroid.

An equilateral triangle is also a regular polygon, which means all its sides are of equal length and all its angles are congruent.

It is also a special case of isosceles triangles.

It is symmetric, so the medians, altitudes, angle bisectors, and perpendicular bisectors all intersect at the same point, which is the centroid of the triangle.

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your answer would be -239.45.

356.54

-595.99

-------------

-239.45

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

The missing angle C of the given triangle using law of cosine is: 62.1°

The Law of Cosines is defined as a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them.

Numerically, the Law of Cosines can be communicated as:

c² = a² + b² - 2abcos(C),

where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.

Thus:

90² = 55² + 50² - 2(55 * 50)cos(C),

2575 = 5500 cos C

2575/5500 = cos C

cos C = 0.4682

C = cos⁻¹0.4682

C = 62.1°

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Answer:

I dont know but I can direct.

Step-by-step explanation:

The median is a middle number in a sorted, ascending or descending, list of numbers.

The quartile measures the spread of values above and below the mean by dividing the distribution into four groups.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

Answer: median: 133.5

               first quartile: 128

              third quartille: 139

             interquartille range: 11

Step-by-step explanation:

The dimensions of the rectangle are given as 4cm and 1cm respectively.

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

Suppose the length of rectangle be x.

And, the width be y.

Then, the following equations can be written as per the information given as,

2x - 3y = 1               (1)

And, 1/3(x - y) = 1

⇒ x - y = 3              (2)

Multiply equation (2) by 2 and subtract from (1) to get,

2x - 3y - 2(x - y) = 1 - 2 × 3

⇒ -5y = -5

⇒ y = 1

Substitute y = 1 in equation (2) to get,

x - 1 = 3

⇒ x = 4

Hence, the dimensions are 4cm and 1cm respectively.

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The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Pearson correlation coefficient r for the data is approximately 0.915. Since the value is positive and close to 1, we can say that there is a strong positive correlation between the number of times the commercial is run on TV and the number of car sales.

What is expression ?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷) that represents a value or a quantity. It can be a single number or variable, or a combination of them, and can also include functions, parentheses, and other mathematical symbols. For example, 3x + 7 is an expression, where 3 and 7 are constants, x is a variable, and + is an operator. Expressions can be simplified, evaluated, or used as part of a larger mathematical statement or equation.

We can use the formula for Pearson correlation coefficient r to calculate it for the given data:

r = (nΣXY - ΣXΣY) / sqrt[(nΣX² - (ΣX)²)(nΣY² - (ΣY)²)]

where n is the number of observations, Σ represents the sum of the indicated values, and X and Y represent the two variables being correlated. Using the data from the table, we can calculate the following:

n = 5

ΣX = 25, ΣY = 25.8

ΣX² = 275, ΣY² = 288.68

ΣXY = 139.2

Substituting these values into the formula, we get:

\($r = (5 * 139.2 - 25 * 25.8) \sqrt{[(5 * 275 - 25^2)(5 * 288.68 - 25.8^2)]} $\)

r ≈ 0.915

Therefore, the Pearson correlation coefficient r for the data is approximately 0.915. Since the value is positive and close to 1, we can say that there is a strong positive correlation between the number of times the commercial is run on TV and the number of car sales.

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With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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either -9 cups or none

Answer:

yes

Step-by-step explanation:

i will trun on the light and see what color the socks are

please write complete question

Answer:

i think its b

Step-by-step explanation:

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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The correct statement regarding the transformations is given as follows:

C) Reflection, then dilation results in an image that is not congruent to the original.

Examples of transformations are given as follows:

For the first transformation in this problem, the orientation of the figure is changed, hence it underwent a reflection.

For the second transformation, the figure was reduced, hence it underwent a dilation, meaning that the congruence was lost, as the side lengths are different.

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Answer:

B Igneous

Step-by-step explanation:

Igneous rock is formed by melting and then cooling.

Answer:

B

Step-by-step explanation:

Igneous

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)