900,000=x+y+z
79,750=0. 08x+0. 09y+0. 01z
2x=z

However, it is equally plausible that the number of children in 1991 was not necessarily less than it was in 1980.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

In conclusion, the median age of the United States population had risen between 1980 and 1991, but this does not necessarily mean that the actual number of children was less in 1991 than it was in 1980. The population of the United States had grown by 25.75 million in the 11 years between 1980 and 1991, and the percentage of the population that was 30 years old or less had increased, indicating that there could have been a large number of children.
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The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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The given angles are vertical and have a measure of 75°. The value of the angle (4x-25)° is also 75°, and the value of x is 25.

The given angles are vertical angles, which means they are opposite angles formed by the intersection of two lines.

Vertical angles are always congruent, which means they have the same measure. Hence, we can set the two given angles equal to each other and solve for the value of x. 75° = (4x-25)°

Adding 25 to both sides, we get: 100° = 4x

Dividing both sides by 4, we get: x = 25 Hence, The value of the angle (4x-25)° is: (4x-25)° =

\((4 \times 25-25)°\)

= 75°

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The number of boxes containing both pens and pencils is 2.

What is set?

A set is defined as a well-defined collection of distinct objects. It is denoted by the capital letters of the English alphabet. Its value remains the same for every individual.

Calculation for the number of boxes containing both pens and pencils

Total number of boxes is given by the union of two sets A and B; i.e. A∪B= 20

Boxes having pencils is given by the set A = 13

Boxes having pens is given by the set B = 9

Boxes having neither pens nor pencils, A'∩B' = 3

Boxes containing both pens and pencils are given by the intersection of the sets, A∩B

A∩B = A + B - A∪B

= 13 + 9 - 20

= 2

Hence, the number of boxes containing both pens and pencils is 2.

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Answer:

8.96 ft

Step-by-step explanation:

The surface area of cylinder is 72π square yd.

We know that the surface area of the cylinder with radius of base r and height h is given by = 2πrh

Given that the radius of the base of cylinder is 4 yd

The height of the cylinder is 9 yd

So the surface area of the cylinder is = 2*9*4*π = 72π square yd.

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Answer:

see explanation

Step-by-step explanation:

(a)

(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )

x² = 12² + 15² - (2 × 12 × 15 × cos71°)

(b)

x² = 144 + 225 - 360cos71°

   = 369 - 360cos71° ( take square root of both sides )

x = \(\sqrt{369-360cos71}\)

  ≈ 16 cm ( to the nearest integer )

The circle where ABC meet circumference then ACB is measured at **112°**.

The circumference of a circle or other round or rounded object refers to the length around its perimeter. It may also refer to the actual surface or border line.

Let's refer to the ACB metric as x. We know that ACP measures 17° since APB measures 34°.  In a similar vein, CBP measures 17°.

We now understand that a triangle's total angles equal 180°. As a result, we may state that:

x + 34 + 17 + 17 = 180

When we simplify this equation, we get:

x = 112

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A term is a constant, a variable, or a product of numbers and variables.

A symbol (typically a letter) used in algebra to represent an unknowable numerical value in an equation or algebraic expression. A variable can be defined as a quantity that is changeable and not fixed. A variable in mathematics is an alphabet or term that stands in for an unknowable quantity, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.

Here,

A term can be a number, a constant, a variable, or the product of a number and a variable.

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Answer:

6 students are taking all three

20 students are taking none.

Step-by-step explanation:

Please check image attached.

From the total of 33 that are taking Arabic, 14 only take Arabic and 13 take Arabic and Bulgarian (b + d), so the students that take only Arabic and Chinese together is:

a = 33 - 14 - 13 = 6

From the total of 39 that are taking Bulgarian, 19 only take Bulgarian and 13 take Arabic and Bulgarian, so the students that take only Bulgarian and Chinese together is:

c = 39 - 19 - 13 = 7

Now, from the total of 40 that are taking Chinese, 21 only take Chinese, 6 take only Arabic and Chinese and 7 take only Bulgarian and Chinese, so the number of students that take all three languages is:

d = 40 - 21 - 6 - 7 = 6 students

The number of students that take any language is 14 + 19 + 21 + 6 + 7 + 13 = 80 students, so 100 - 80 = 20 students take none of the three languages

Tara's bedroom has the greater area of 72 square feet.

We have to calculate the area of each rectangle.

Area of a rectangle is given by the formula:

A= l * w

where l is the length and w is the width of the rectangle.

Tara's bedroom is 9 ft long and 8 ft wide,

the area of Tara's bedroom is :

A = l * w= 9 ft * 8 ft= 72 square feet

Jody's bedroom is 7 ft long and 10 ft wide,

the area of Jody's bedroom is:

A = l * w= 7 ft * 10 ft= 70 square feet

Therefore, Tara's bedroom has a greater area of 72 square feet.

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The best estimate for the deer population on the island is 500.

1. The veterinary doctors marked 30 deer on the island.

2. Later on, they counted 150 deer in total.

3. Out of the 150 deer, 12 had marks.

4. To find the best estimate for the deer population on the island, we can set up a proportion.

5. Let "x" represent the total deer population.

6. The proportion can be set up as: 30/x = 12/150.

7. Cross-multiplying gives us: 12x = 30 * 150.

8. Solving for x, we get: x = (30 * 150) / 12.

9. Evaluating the expression, we find: x = 375.

10. Rounding to the nearest whole number, the best estimate for the deer population on the island is 500.

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Answer:

4008 is the LCM between the two.

(5,1)

Explanation

Step 1

to find x and y , is to find the values such that

then, for example

x=5

(5,1)

then, replacing we can verify

I hope this helps you

The area of the piece of land is 849 ft².

The area of the piece of land

=22 x 30 x \(\frac{1}{2}\) x 2 + (30-12) x 21 x \(\frac{1}{2}\)

=660 + 18 × 21×\(\frac{1}{2}\)

=660 + 189

=849 ft²

The area is the amount that expresses the volume of a place on the plane or on a curved surface. The location of an aircraft region or aircraft place refers back to the area of a shape or planar lamina, at the same time as floor region refers to the location of an open floor or the boundary of a three-dimensional object. the area may be understood as the amount of fabric with a given thickness that could be essential to style a model of the shape, or the amount of paint vital to cowl the surface with a single coat. it's miles the 2-dimensional analog of the length of a curve (a one-dimensional concept) or the extent of a strong (a three-dimensional concept).

The place of a shape can be measured by way of evaluating the form to squares of a hard and fast size. inside the global gadget of devices (SI), the usual unit of the vicinity is the rectangular meter (written as m²), that's the location of a rectangle whose sides are one meter long. A shape with a place of three rectangular meters would have the equal region as 3 such squares. In mathematics, the unit square is described to have placed one, and the location of another shape or floor is a dimensionless real variety.

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The mean household income in Ada County, Idaho, ($58,300) is not significantly different from that in Cameron Parish, Louisiana ($56,600).

To determine whether the mean household income in Ada County, Idaho, is the same as in Cameron Parish, Louisiana, we can conduct a hypothesis test.

Null Hypothesis (H₀): The mean household income in Ada County is equal to the mean household income in Cameron Parish.

Alternative Hypothesis (H₁): The mean household income in Ada County is not equal to the mean household income in Cameron Parish.

We can use a two-sample t-test to compare the means of the two samples. Here, we have two independent samples with known means, standard deviations, and sample sizes.

Let's calculate the test statistic and p-value using the provided data:

Sample 1 (Ada County):

Standard deviation (s1) = $9,000

Sample size (n1) = 18

Sample 2 (Cameron Parish):

Standard deviation (s2) = $15,600

Sample size (n2) = 20

Substituting the values:

t = (58,300 - 56,600) / √((9,000²/18) + (15,600²/20))

Calculating the numerator and denominator:

t ≈ 1700 / √((810,000 + 1,209,600))

t ≈ 1700 / √(2,019,600)

t ≈ 1700 / 1,421.819

t ≈ 1.195

To determine the p-value associated with the test statistic, we would need the degrees of freedom and consult a t-distribution table or use statistical software.

Without the specific degrees of freedom and given that the sample sizes are relatively small (less than 30), it is challenging to provide an exact p-value. However, based on the test statistic, we can make a general conclusion:

If the calculated p-value is less than the chosen significance level (commonly 0.05), we would reject the null hypothesis. If the p-value is greater than or equal to the chosen significance level, we would fail to reject the null hypothesis.

By conducting the two-sample t-test, we can determine whether there is sufficient evidence to support the researcher's claim that the mean household income in Ada County is the same as in Cameron Parish. However, without the specific degrees of freedom and the exact p-value, we cannot provide a definitive conclusion regarding the hypothesis test.

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The length of the fence that corresponds to the cost of fencing respectively is =

Length of fencing (ft): 2, 8, 5, 7, 10

Cost of fencing ($): 18, 72, 45, 63, 90.

Length is defined as the measurement of how long a figure or structure is which is usually measured meters, centimetres or feets.

The cost of every 2 feets of the fence Heather is building is = $18

If 2ft = 18

8ft = ×

Make X the subject of formula,

X = 8 × 18/2

X= 4×18 = $72

If 2ft = 18

5ft = ×

Make X the subject of formula,

X = 5 ×18/2

X = 5×9

X = $45

If 2ft = 18

7 ft = ×

Make X the subject of formula,

X = 7× 18/2

X = 7× 9=$ 63

If 2ft = 18

10ft = X

Make X the subject of formula,

X = 10 × 18/2

X= 10× 9

X = $90

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Answer:

3,000,000,000

Step-by-step explanation:

Answer:

5 bags

Step-by-step explanation:

because there are 12 inches

Answer:

I think the answer is 4

Step-by-step explanation:

I think you need to find the area of the rectangle first which is 120 (12 x 10) then you divide 120 by 30 to get 4.

I might have gotten it wrong but  I think the answer is 4.

the correct statement is: The equation does not show a linear relationship or a proportional relationship.

The statement "The equation shows a linear relationship, but not a proportional relationship" is incorrect.

The equation y = 225x^2 + 60 represents a quadratic relationship, not a linear relationship. In a linear relationship, the equation would have the form y = mx + b, where m is the slope (constant rate of change) and b is the y-intercept (constant term). However, in the given equation, we have an x^2 term, which makes it a quadratic equation.

Furthermore, the equation does not represent a proportional relationship. In a proportional relationship, the ratio between the x-variable and the y-variable remains constant. This means that if you were to calculate the ratio of y to x for different values of x, you would always get the same value. However, in the given equation, the relationship between y and x is not proportional because of the x^2 term. As x increases, the impact on y is not linear, but rather quadratic, resulting in a curved relationship

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Answer:

US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$

Step-by-step explanation:

that what i've got i hope that's helps you

Answer:

a) \(\sqrt{56\) → Definitely not undefined because 56 is a positive real number

b) \(-\sqrt{56\) → Definitely not undefined because 56 is a positive real number (and the negative sign is not under the square root)

c) \(\sqrt{-56\) → Definitely undefined because -56 is a negative number

__

We know that there is no real square root of a negative number because nothing multiplied by itself results in a negative number.

__

d) \(\sqrt h\) → Could be undefined because we don't know the value of \(h\); it could be positive or negative

e) \(-\sqrt {h\) → Could be undefined because we don't know the value of \(h\); it could be positive or negative (and the negative sign doesn't affect this because it is outside the square root)

f) \(\sqrt{-h\) (when \(h\) is positive) → Definitely undefined because the value inside of the square root is negative (a negative times a positive is a negative)

Answer:

Step-by-step explanation:

First one

Answer:

A

Step-by-step explanation:

The solution to the linear system is unique solution which is  x₁ = 1/6, x₂ = 3/2, and x₃ = 17/6.

The correct answer is option  A.

To solve the given system of linear equations using elementary row operations and back substitution, let's start by representing the augmented coefficient matrix:

[1  -4  5  |  23]

[2   1   1  |  10]

[-3  2  -3 |  -23]

We'll apply row operations to transform this matrix into echelon form:

1. Multiply Row 2 by -2 and add it to Row 1:

[1  -4   5   |  23]

[0   9   -9  |  -6]

[-3  2  -3  |  -23]

2. Multiply Row 3 by 3 and add it to Row 1:

[1  -4  5   |  23]

[0   9  -9  |  -6]

[0   -10 6  |  -68]

3. Multiply Row 2 by 10/9:

[1  -4  5    |  23]

[0   1   -1   |  -2/3]

[0   -10 6  |  -68]

4. Multiply Row 2 by 4 and add it to Row 1:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  -10 6  |  -68]

5. Multiply Row 2 by 10 and add it to Row 3:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  0   -4  |  -34/3]

Now, we have the augmented coefficient matrix in echelon form. Let's solve the system using back substitution:

From Row 3, we can deduce that -4x₃ = -34/3, which simplifies to x₃ = 34/12 = 17/6.

From Row 2, we can substitute the value of x₃ and find that x₂ - x₃ = -2/3, which becomes x₂ - (17/6) = -2/3. Simplifying, we get x₂ = 17/6 - 2/3 = 9/6 = 3/2.

From Row 1, we can substitute the values of x₂ and x₃ and find that x₁ + x₂ = 5/3, which becomes x₁ + 3/2 = 5/3. Simplifying, we get x₁ = 5/3 - 3/2 = 10/6 - 9/6 = 1/6.

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The negative and positive of a polynomial function is always all real numbers.

A polynomial function is a function that maps real numbers to real numbers and is defined by a polynomial expression.

In mathematical terms, this can be explained by the fact that polynomials are continuous functions over their entire domain, which is the set of all real numbers.

This means that there are no breaks, gaps, or jumps in the graph of a polynomial function. Additionally, polynomials do not have any asymptotes, which are lines that a function approaches but never touches.

The domain of a polynomial function is always all real numbers because polynomials are continuous and have no asymptotes over their entire domain.

As a result, the graph of a polynomial function can be drawn without lifting the pencil from the paper.

Therefore both a and b are correct.

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The question asks us to determine the surface area of a square-shaped patio that Pedro is covering with ceramic tiles. We are given that the width of the patio is 9 meters.

To find the surface area of a square, we need to multiply the width of one side by itself. In this case, since the patio is square-shaped, the width of one side is also the length of the other side.

So, the surface area of the square patio can be calculated by multiplying the width (9 meters) by itself:

9 meters * 9 meters = 81 square meters.

Therefore, the surface area of the patio that will be covered with ceramic tiles is 81 square meters.

The surface area of the patio that will be covered with ceramic tiles is 81 square meters.

To find the surface area of the square-shaped patio, we multiply the width (9 meters) by itself, since the patio is square-shaped and all sides have the same length. This calculation gives us a surface area of 81 square meters. It is important to note that the unit of measurement for the surface area is square meters, which represents the area covered by the ceramic tiles. The concept of surface area is used to determine the amount of material needed to cover a given space. In this case, Pedro will need 81 square meters of ceramic tiles to cover the entire patio.

The surface area of the patio that Pedro will cover with ceramic tiles measures 81 square meters.

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