978%37=

26 R16
26 R36
26 R26
26 R6

The inequalities are matched with their correct graph respectively as follows:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

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Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

The total number of two scoops of ice cream cones is 45, calculated using the combination of different flavors.

What is the combination?

The combination is a mathematical term basically used to calculate the possible arrangements in a collection of different items. Its formula is given by:

C(n,r) = n! / (n-r)! r!

Where n is the total number of items and r is the number of selected items

Calculation of the number of different two-scoops ice cream cones

Given: 10 flavors of ice cream

We are required to choose two flavors out of 10, so we need to use the combination, i.e.

C(10,2) = 10! / (2! (10 - 2)!)

= 10! / (2! 8!)

= 45

Hence, the total number of two scoops of ice cream cones is 45.

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Answer:

-8

Step-by-step explanation:

Any number raised to the power 1 is that number itself

So (-8)⁻¹ = -8

Answer:

140.4 inches

Step-by-step explanation:

there are 36 inches in a yard

3.9 times 36 is 140.4

Hope It Helps

Sorry If I'm Wrong

3.9 yards is equal to 140.4 inches.

We have,

The concept used to convert 3.9 yards to inches is the conversion factor between yards and inches. The conversion factor states that 1 yard is equal to 36 inches.

By multiplying the given value in yards (3.9 yards) by the conversion factor (36 inches/yard), we can convert the measurement from yards to inches.

This concept of using a conversion factor allows us to convert between different units of measurement.

To convert 3.9 yards to inches, we can use the fact that 1 yard is equal to 36 inches.

So, to convert 3.9 yards to inches, we multiply 3.9 by 36:

3.9 yards * 36 inches/yard = 140.4 inches

Therefore,

3.9 yards is equal to 140.4 inches.

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Answer:

60

Step-by-step explanation:

1/2(b×h)

1/2(10×12)

1×5×12

60

The value of k  such that a is singular is ±√(5/2).

If a singular matrix's determinant is 0, it is a square matrix. Specifically, if and only if det A = 0, a square matrix A is unique. We are aware that the formula A-1 = (adj A) / can be used to get the inverse of a matrix A. Here, the denominator contains det A, which is the determinant of A. We are aware that a fraction with a denominator of 0 is not defined. Since det A = 0, A-1 is not defined. In other words, a single matrix's inverse is not defined. That is to say, there isn't a matrix B such that AB = BA = I.

A singular matrix means that the detA should be 0.

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Answer:

21

Step-by-step explanation:

.75 x 28 = 21

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The most important info is the rate ft^2 / min and how many minutes it took to mow.

From this, we need to know how much total area there is. We do this by multiplying the rate by the time.

[tex] \frac{ 4{ft}^{2} }{minute} \times 29minutes = 116 {ft}^{2} [/tex]

Then we need to write out the sum of the whole area in terms of length times width

[tex]6ft \times 14 ft + x \times 4ft = 116 {ft}^{2} [/tex]

Notice how we put x for the unknown variable, this turns it into an easy peasy algebra problem. I leave that to you, solve for x

The measurement that is equivalent to 350 milliliters is d. 3.5 × 10⁻¹ liters.

Measurements:

Measurements is the concept that is very helpful to measure the quantity of the any object like for solid object we have to use the grams and for liquid one we have to use the liters.

So, it is basically used to define the quantity of the given object.

Given,

Measurement = 350 milliliters.

Here we need to find the equivalent form from the given options.

We know that,

1 liter = 1000 milliliters

Here We are given a quantity of 350 milliliters and we are supposed to convert it into liters.

So, assuming x to be the number of liters equivalent to 350 milliliters, we can write it as:

[tex]\frac{1liter}{xliter}=\frac{1000}{350}[/tex]

=> x = 350/1000

=> x = 0.35

Which can be written as,

=> x = 3.5 × 10⁻¹ liters

Therefore, 350 milliliters is equal to 3.5 × 10⁻¹ liters.

So, the option (d). 3.5 × 10⁻¹ liters is correct.

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Equation and solution of equation :

17.25 + p(17.50) = 69.75

17.25 + 17.50p = 69.75

17.50x = 69.75 - 17.25

17.50p = 52.50

p = 52.50/17.50

p = 3

So three people can go to the amusement park (assuming that they are all travelling together in the same car).

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.

Let p be the number of people. Then the equation is given as,

17.50p + 17.25 = 69.75

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

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Answer:

[tex]\textsf{An equation of the parallel line is $y = \boxed{3x+2}$}[/tex]

[tex]\textsf{An equation of the perpendicular line is $y = \boxed{-\dfrac{1}{3}x+\dfrac{16}{3}}$}[/tex]

Step-by-step explanation:

Point-slope form of a linear equation:

[tex]\boxed{y-y_1=m(x-x_1)}[/tex]

Where:

Given:

If two lines are parallel, they have the same slope.

Therefore, the slope of the line that is parallel to the given equation is 3.

To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-5=3(x-1)[/tex]

[tex]\implies y-5=3x-3[/tex]

[tex]\implies y-5+5=3x-3+5[/tex]

[tex]\implies y=3x+2[/tex]

If two lines are perpendicular, their slopes are negative reciprocals.

Therefore, the slope of the line that is perpendicular to the given equation is -¹/₃.

To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-5=-\dfrac{1}{3}(x-1)[/tex]

[tex]\implies y-5=-\dfrac{1}{3}x+\dfrac{1}{3}[/tex]

[tex]\implies y-5+5=-\dfrac{1}{3}x+\dfrac{1}{3}+5[/tex]

[tex]\implies y=-\dfrac{1}{3}x+\dfrac{16}{3}[/tex]

Answer: 8 runners

Step-by-step explanation:

If you mean that " if each person runs one more mile than the previous runner" then:

First person = 1

Second person = 1+1

.....

(1)+(1+1)+(1+1+1)+(1+1+1+1)+(1+1+1+1+1)+(1+1+1+1+1+1)+(1+1+1+1+1+1+1)+(1+1+1)

1  +   2 +    3    +     4      +       5       +         6        +            7         +    3  =31

(the last runner runs less miles then needed)

Answer:

h(3) = 1

Step-by-step explanation:

[tex]h\left(3\right)=\left(3\right)\cdot \:2-3\\h\left(3\right)=3\cdot \:2-3\\h\left(3\right)=6-3\\h\left(3\right)=3[/tex]

Divide

[tex]\frac{h\cdot \:3}{3}=\frac{3}{3}\\h=1[/tex]

Answer:
90517

Step-by-step explanation:
This is the answer when you minus 879,009 by 788,492

==============================================

Reason:

It might help to draw a number line for this.

3/18 is closer to 0 than it is to 1/2 = 9/18, so the mixed number 3 & 3/18 rounds to 3 when rounding to the nearest half.

4/7 is closer to 1/2 = 4/8 than it is to either 0 or 1, so 4 & 4/7 rounds to 4 & 1/2 when rounding to the nearest half.

Adding 3 to 4 & 1/2 gets 7 & 1/2 since we add the whole parts 3+4 = 7, and the fractional part stays as it is.

-----------

Check:

(3 + 3/18) + (4 + 4/7) = 7.738 approximately

7 + 1/2 = 7.5 exactly

The two results aren't too far off. The estimate of 7 & 1/2 is an underestimate.

Answer:

About 7 1/2 ounces

Step-by-step explanation:

Add your whole numbers first, 3 + 4 = 7

Now the fractions:

3/18 = 1/6

Estimate 4/7 + 1/6, the answer is somewhere between 1/2 and 1 whole. Therefore the answer is about 7 1/2

Check:

3/18 × 7/7 = 21/126

4/7 × 18/18 = 72/126

21/126 + 72/126 = 93/126

The actual answer is 7 31/42, so the closest answer is 7 1/2

Answer:

find the value of x file attached x9

The expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

1.

Given the expression;

[tex]\sqrt{\frac{9x^3}{4y^2} }[/tex]

Take the square root of the variables;

= [tex]\frac{3x^3^/^2}{y}[/tex]

2. (2-5i)(3+7i)-(4+3i)

expand the bracket

6 + 14i - 15i - 35i² - 4 - 3i

collect like terms

2 - 4i -  35i²

3. Given the expression;

[tex]\sqrt[3]{81} x^7 y^9z^5[/tex]

Take the cube root of the value, we have;

4x^7y^9z^5

Thus, the expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

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The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

Now,

Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

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Answer:

An absolute number is a number that is represents a distance from 0. An absolute number is always positive since the distance between two number is always positive.

Step-by-step explanation:

Answer:

29.65

Step-by-step explanation:

Answer:

so the answer 1904

Step-by-step explanation:

because 34 x 56 = 1904

There are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.

Here, we have to form the three groups with the digits 1 to 9, we need to consider that the first group of two digits multiplied by the second group of three digits should result in a four-digit number.

The third group will consist of the remaining four digits.

Let's try different combinations:

Group 1 (two digits): 1 and 2

Group 2 (three digits): 3, 4, and 5

Group 3 (four digits): 6, 7, 8, and 9

Now, let's calculate the product of the first group (1 and 2) and the second group (3, 4, and 5):

12 * 345 = 4140

So, when we arrange the digits 1 to 9 as described above, we get the product 4140, which is a four-digit number.

We can also verify the other six possible combinations using different arrangements of the digits into three groups, and each combination should result in a four-digit number when the first group is multiplied by the second group.

Here are the other six possible combinations:

Group 1 (two digits): 1 and 3, Group 2 (three digits): 2, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9

13 * 245 = 3185

Group 1 (two digits): 1 and 4, Group 2 (three digits): 2, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9

14 * 235 = 3290

Group 1 (two digits): 1 and 5, Group 2 (three digits): 2, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9

15 * 234 = 3510

Group 1 (two digits): 2 and 3, Group 2 (three digits): 1, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9

23 * 145 = 3335

Group 1 (two digits): 2 and 4, Group 2 (three digits): 1, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9

24 * 135 = 3240

Group 1 (two digits): 2 and 5, Group 2 (three digits): 1, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9

25 * 134 = 3350

So, there are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.

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Step-by-step explanation:

no lo se,no hablo ingles..........

The tangent of the angle formed when x = 0 is undefined.

However, the angle described by when x = 0 are;

E) Either 90° or 270°

The question appears to be incomplete. The possible other part of the question is as follows;

When x = 0, and the calculator is used to find the tangent, the calculator indicates that the value is undefined, such that the calculator will not be able to give the value of the angle that corresponds with a value of x = 0.

What must the angle in degrees be when x = 0

Solution;

[tex]tan( \theta) = \frac{ \Delta y}{\Delta x} = \frac{y - value}{x - value} [/tex]

When x = 0, we have;

[tex]tan( \theta) = \frac{y - value}{0} = \infty [/tex]

However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph

The correct option is therefore;

E) Either 90° or 270°

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The tangent of the angle formed when x = 0 is undefined. However, the angle described by when x = 0 are; E) Either 90° or 270°,  When x = 0, we have; However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph. The correct option is therefore; E) Either 90° or 270°.

When using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, it is important to understand the limitations and considerations involved. The inverse tangent function, commonly denoted as arctan or atan, returns the angle whose tangent is a given value. However, special attention should be given to the range of the output and the quadrant of the angle. Additionally, some calculators have a two-argument inverse tangent function that considers both the x and y components of the vector, providing a more accurate result. To find the angle of a vector in the x-y plane using the inverse tangent function on a calculator, we typically use the atan or arctan function. The function takes a single argument, which is the ratio of the y-coordinate to the x-coordinate of the vector. It returns the angle in radians whose tangent is equal to that ratio. However, it's important to consider the limitations of the inverse tangent function. The output of the function is typically in the range of -π/2 to π/2 (-90 degrees to 90 degrees). This means that the function can only provide angles within this range. If the vector falls in the second or third quadrant (where the x-coordinate is negative), the function will return an angle between -90 degrees and 90 degrees. To obtain the correct angle in these cases, we need to add or subtract 180 degrees, depending on the quadrant. Some calculators also have a two-argument inverse tangent function, often denoted as atan2 or arctan2. This function takes both the x and y components of the vector as arguments. It provides a more accurate result by considering the signs of both components and the quadrant of the angle. This eliminates the need for additional calculations to determine the correct quadrant. In conclusion, when using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, we should be aware of the range of the output and the quadrant in which the vector lies. For more accurate results, it is recommended to use the two-argument inverse tangent function (such as atan2 or arctan2) if available on the calculator, as it handles the quadrant determination automatically.

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The value of the given quadratic equation are = x = -(6/5) , x = 2

Quadratics are polynomial equations of the second degree, which means they have at least one squared term. It is also known as quadratic equations. The quadratic equation has the general form: ax2 + bx + c = 0.

Quadratic functions occupy a distinctive place in the school curriculum. They are functions whose values are easily estimated from input values, therefore they are a modest improvement over linear functions and provide a major shift away from attachment to straight lines.

Given (5x + 6)(3x - 6) = 0

Using the zero factor principle: if ab = 0 then a = 0 and b = 0

So,

(5x + 6) = 0 or (3x - 6) = 0

for the (5x + 6):

(5x + 6) = 0 (subtracting both side by 6)

5x + 6 - 6 = 0- 6

so, x = -(6/5)

Same calculation for (3x - 6) = 0 we get x = 2

The value of the given quadratic equation are = x = -(6/5) , x = 2

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Lo ciento, pero yo no se mucho Espanol por que yo soy negro y boricua pero mas negro asi que yo nunca aprendió.

Yo esperar una persona quien es muy mejor a Espanol pueda ayudarte! Adios.

(Yo solo escribio ese para la premio!)

Answer:

3/2

Step-by-step explanation:

16+12= 28 total shapes

squares =12 so 12/28

and divide both side by 4 for simplest form

3/2

The area that occupies on a plan drawn to the given scale is 0.024 m²

Given,

The area of the playing surface at the Olympics stadium in Beijing = 3/5 hectare

The scale factor on a plan drawn = 1:500

We have to find the area that occupies on a plan drawn to the given scale:

Applied to the area we consider k² as the area is the product of two dimensions.

So, k = 1/500

Now the area on plan:

a : k² = actual area

a : (1/500)² = (3/5) × 10000

a : (1/250000) = 3 × 2000

a × 250000 = 6000

a = 6000 / 250000

a = 0.024 m²

That is, the area that occupies on a plan drawn to the given scale is 0.024 m²

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