3x + 3y = 3
\y=-1/x+2
y=-2
y = 0
y = 3
y = 1

By calculating, If 10% of 170 is 17, then 90% of 170 is 153 is true.

What is Algebraic expression ?

Algebraic expressions are mathematical phrases that combine numbers, variables, and operations (like addition, subtraction, multiplication and division). They provide a way to represent and analyze mathematical relationships. Examples of algebraic expressions include "3x + 5" and "6y - 3x".

Given expression,

10% of 170

10/100 * 170

= 17

which is equals to RHS

Then,

90% of 170

= 90/ 100 * 170

= 9*17

= 153

which is also equals to RHS .

And the yes the given expressions are true.

Hence, If 10% of 170 is 17, then 90% of 170 is 153 is true.

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The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:

x = log3(12)

The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:

x = ∛12

The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.

The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.

As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.

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Answer: 51

Step-by-step explanation: 24^2+45^2=C

24*24=576

45*45=2025

576+2025=2601

Square root of 2601 is 51

The completed statement using the integers that are closest to the number in the middle is 3<-√14<4

The statement: <-√14< can be interpreted as the set of all real numbers that are less than the square root of 14, which is approximately 3.74166.

The integers closest to this number are 3 and 4, so the set of integers that are closest to the number in the middle can be represented as:

(-∞, 3) U (4, ∞)

The statement says that the value of the square root of 14, when multiplied by -1 (the square root of a negative number), is between 3 and 4. The closest integers to the value of the square root of 14 are -3 and -4.

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Two sets of possible dimensions for the rectangular pyramid that uses the same amount of clay as the rectangular prism are 2 inches base and 1.5 inches height, and 3 inches by a 1-inch base and 1-inch height.

The volume of the rectangular prism is 6 inches * 1 inch * 1/2 inch = 3 cubic inches. To determine the possible dimensions for the pyramid, we need to find the dimensions that will give us the same volume.

One set of possible dimensions for the pyramid would be a base that is 2 inches by 2 inches, and a height of 1.5 inches. This would give a volume of 2 inches * 2 inches * 1.5 inches / 3 = 2 cubic inches, which is the same as the original rectangular prism.

Another set of possible dimensions would be a base that is 3 inches by 1 inch and a height of 1 inch. This would give a volume of 3 inches * 1 inch * 1 inch / 3 = 1 cubic inch, which is the same as the original rectangular prism.

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Car Y offers you more mileage than Car X per gallon.

The mileage of a vehicle is the number of miles that it can travel using one gallon or litre of fuel or gasoline.

To find the mileage per gallon, we find the distance that each car can travel using 1 gallon of gasoline.

For Car X,

Mileage = No. of miles/No. of gallons

= 120/11 = 10.909

For Car Y,

Mileage = No. of miles/No. of gallons

= 100/9 = 11. 11

Therefore, marginally, Car Y has the better mileage.

Thus, Car Y offers you more mileage than Car X per gallon.

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quadratic model; y = 0.13x2 – 2.38x + 12.27 is the best to fit the regression model for the data.

ax2+bx+c=0, with a not, equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

For the given Dataset

Sum of X = 27

Sum of Y = 22

Mean X = 5.4

Mean Y = 4.4

Sum of squares (SSX) = 45.2

Sum of products (SP) = -42.3

Regression Equation = ŷ = bX + a

b = SP/SSX = -42.3/45.2 = -0.93584

a = MY - bMX = 4.4 - (-0.94*5.4) = 9.45354

ŷ = -0.93584X + 9.45354

Thus Given linear Equation is not the best fit

Since the graph is decreasing Option b and c are also not possible

Therefore, the best to fit the regression model for the data is the quadratic model; y = 0.13x2 – 2.38x + 12.27.

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Answer:

Step-by-step explanation:

none of these the corrct answer is 5

The mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, Tina also worked out the total number of points scored by the 16 students in the game.

(0×1)+(1×3)+(2×5)+(3×4)+(4×3)=0+3+10+12+12=37

Tina made a mistake in her working to find the total number of points scored, she written the product of 0 and 1 as 1.

Therefore, the mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.

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a) An inequality that can determine x the number of outfits Keiland can purchase while staying within her total budget of $660 is 529.59 + 37.26x ≤ 660.

b) The inequality solution shows that x cannot be more than 3.

An inequality is a mathematical statement that two or more mathematical expressions are unequal or not equivalent.

Inequalities are depicted as follows:

These inequality symbols are usually written between two numbers or algebraic expressions.

The total spending budget Keilantra has = $660

The cost of a new bicycle = $488.20

The cost of 2 reflectors = $22.34 ($11.17 x 2)

The cost of a pair of bike gloves = $19.05

The total costs for the above three items = $529.59

The unit cost of new biking outfits = $37.26

The number of outfits Keilantra can purchase = x

529.59 + 37.26x ≤ 660

37.26x ≤ 660 - 529.59

37.26x ≤ 130.41

x ≤ 3.5

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The given graph is not symmetric with respect to the y-axis. Hence, this is not  even function.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

An example of a rule is a function, which produces one output for a single input.

If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.

The given graph is not symmetric with respect to the y-axis. Hence, this is not  even function.

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The evaluate the value of the expression a(n) is control condition.

Here we have given that to provide a comparison for evaluating the effects of a specific treatment, experimenters make use of a(n).

Here we know that when carrying out an experiment, then the control condition is set up to provide a baseline against which the result of the experiment can be compared.

Here we have to take the example that is when measuring the effects of a new medication, then the control group is usually set up and the members of the group are given a placebo.

Therefore this will not contain any of the active ingredients of the medicine and it acts as a way to evaluate the real effects of the medication.

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The width of the last little parallelogram, 10/3, is determined by the provided statement.

Furthermore, despite the fact that this is never the case, every rhombus is considered to be a parallelogram. A quadrilateral is a form that is flat. They arrive in quartets. A parallelogram is formed by two opposing sides that are flat and proportional to one another. Parallelograms come in 4 distinct varieties, including 3 unique varieties. Rhombuses, triangular shapes, cubes, and squares are the four types.

The diagonal area products are equal.

Divide the two sides by 6 20/6 = x = 10/3 since 4*5 Equals 6 * x 20 Equals 6 * x

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The complete question is-

A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?

Answer:

0.00746696035

Step-by-step explanation:

3.39/454 = 0.00746696035

Rounded that would only be 1 cent per kg.  Hummmppp....

The researchers have increased the power of their analysis by increasing the sample size.

The number of subjects involved in a sample size is referred to as the sample size in market research.

Examine 15 randomly selected groups of subjects.

There are five main ways to increase the power of an experiment or study: increase the alpha level, decrease random error, conduct a one-tailed test, expand the sample size, or increase the effect size. Of these, only the first option, which increases the sample size, will increase power.

Thus, the researchers have increased the power of their analysis by increasing the sample size.

Complete question: As one step in the statistical analysis of the effectiveness of CHW intervention, researchers calculated the average percentage of postnatal care use found in 10 randomly selected groups of 50 mothers. How could the researchers have increased the power of their analysis?

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The probability is 8/33 is already in its simplest form as the numerator and denominator share no common factors.

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The probability is 8/33 is already in its simplest form as the numerator and denominator share no common factors.

Probability is a measure of the likelihood of an event occurring, represented as a decimal or fraction between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

(Probability of choosing a green pen on the first draw) x (Probability of choosing a blue pen on the second draw, given that a green pen was chosen on the first draw)

= (4/12) * (8/11)

= (1/3) * (8/11)

= 8/33

So the probability is 8/33. This is already in its simplest form as the numerator and denominator share no common factors.

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Answer:

y = 4/3x - 1

Step-by-step explanation:

(3, 3) and (0, -1)

m = -1-3 / 0-3

m = -4/-3

m = 4/3

y = 4/3x + b

-1 = 4/3(0) + b

-1 = 0 + b

b = -1

y = 4/3x - 1

Answer:

The graph looks like the image below.

Step-by-step explanation:

-2x means that every time x increases by 1, y increases by -2.

When y increases by -2, y decreases by 2.

Hence, as the x-value increases by 1, the y-value decreases by 2.

Also, the graph goes through the point (0, 0) since when x=0, y=0:

y=-2x ==> 0 = -2(0)

The solution for the given quadratic equation is  x = -11 or x = -1.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

here, given that,

The given quadratic equation is,

x² + 12x + 11 = 0.

The graph of the equation is, plotted below.

From the graph,

The solutions are x = -1 and x = -11

The second approach to find the solution for the given quadratic equation is factorization method,

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x(x + 11) + 1(x + 11) = 0

(x + 11) (x + 1) = 0

x = -11 or x = -1

So, the required solution is x = -11 or x = -1.

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The requried value of given expression when a = 7 and b = 28 is 125.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given expression,
(a + b)² = a² + b² + 2ab
We have,
a = 7 and b = 28
(7 + 28)² = 7² + 28² + 2 × 7 × 28
35² = 49 + 786+ 392
125 = 125

Thus, the requried value of given expression when a = 7 and b = 28 is 125.

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Answer: The perimeter of the shape is approximately 18.0 feet.

Step-by-step explanation:

The shape you described is a triangle, with one side of 8 feet and two sides of 5 feet. To find the perimeter of a triangle, we add up all the side lengths:

Perimeter = 8' + 5' + 5'

Perimeter = 8' + 10'

Perimeter = 18'

Rounding to the nearest tenth:

18 feet is the same as 18.0 feet rounded to the nearest tenth.

So, the perimeter of the shape is approximately 18.0 feet.

One pound of chicken will cost ${x/y} and one pound of fish will cost ${B/A}.

Given is the price per pound for chicken and the price per pound of the fish.

        {y} pound of chicken costs ${x}

        {1} pound of chicken will cost ${x/y}

        {A} pound of fish costs ${B}

        {1} pound of fish will cost ${B/A}

Therefore, {1} pound of chicken will cost ${x/y} and  {1} pound of fish will cost ${B/A}.

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Emma has been saving up to go on a big summer trip, visiting the United States and Russia. Emma should spend $2951.46 while in the United States.

Generally, To maximize the amount of cash Emma has in Russia, she should spend all of her money in the United States before entering Russia. First, we convert the Ruble limit to USD:

32,285 Rubles / 129.35 =249.594 USD.

Next, we convert Emma's savings from pounds to USD:

£2500 x 1.28 = $3200.

Finally, we subtract the Ruble limit from Emma's total savings in USD: $3200 - $248.54 = $2951.46.

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Nonvisual language is used to describe the visual world verbally. It can lead people around a museum, help an audience member find their way around an artwork, or provide them access to the visual elements of a performance.

It was in 1981 when Dr. Margaret Pfanstiehl, founder and president of The Metropolitan Washington Ear Inc., and her husband Cody perfected the art and practice of verbal description.

Standard information found on a label, such as an artist's name, nationality, the title of the artwork, date, dimensions or size of the piece, media, and method, can be found in a spoken description as well. In addition, a vocal description can offer a broad overview of the work's subject matter and structural elements.

1. Lines

2. Planes

3. Hyperboloids

4. Lines

5. Spheres

6. Ellipsoids

7. Paraboloids

8. Hyperbolas

9. Ellipses

10. Hyperbolas

11. Circles

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Step-by-step explanation:

so, write that down mathematically :

7 - k×43 = k

to bring k to only one side of the equation we add e.g. 43k to both sides (it is important to perform any operation on an equation always on both sides, otherwise the equality relation is destroyed)

7 - 43k + 43k = k + 43k

7 = 44k

k = 7/44

The probability that exactly 4 of the 8 diamonds picked from the bag are real diamonds is 28/256 or 11.1%.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 meaning the event is impossible and 1 meaning the event is certain to occur. Probability theory is used to make predictions and calculate the chances of different outcomes in order to make decisions. Probability theory can also be applied to understand the behavior of complex systems.

This is calculated by first determining the total amount of possible outcomes. Out of the 8 diamonds picked, there are 8C4 = 70 ways in which the 4 real diamonds can be chosen. With 8 real diamonds and 7 fake diamonds, the probability of a real diamond being chosen is 8/15, and the probability of a fake diamond being chosen is 7/15. Therefore, the probability of having exactly 4 real diamonds is 70 x (8/15)^4 x (7/15)^4 = 28/256.

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