Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as
an approximation for x.
• 154 square feet
• 42 square feet
• 419 square feet
•
105 square feet

Answer:

Step-by-step explanation:

The expression is simplified to -105

An integer can be defined as a whole number, with no fractional or decimal form which can be positive, negative or zero.

Negative integer values are  the additive inverses of their corresponding positive numbers.

Integers are a collection of whole numbers and negative values.

The types of integers are;

From the information given, we have;

10(-3)(4) - (-15)

expand the bracket

10(-12) - ( -15)

expand further

-120 + 15

Add the values

-105

Hence, the value is -105

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An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.

The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.

Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.

Since the DOC system uses free text, the EHR's data is structured.

Therefore,

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

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Answer:

Equation of line A: y = 4

Equation of line B: x = 8

Step-by-step explanation:

I am not sure how to explain this but those are your answer.

All symmetry, reflexivity, and transitivity are required for an equivalence relationship.

In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.

To have an equivlance relationship, three requirement are needed:

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Answer:

64 possible outcomes

Step-by-step explanation:

Since the bag contains four red cards, four white cards, and four black cards, each with a unique number from 1 to 4, there are a total of 4 * 4 * 4 = <<444=64>>64 possible outcomes in the sample space. This means that there are 64 possible cards that could be chosen, and each of these is an equally likely outcome.

The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.

When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.

Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,

0.7, −0.2, 2.2, −2.3

-2.3 > -0.2 > 0.7 > 2.2

Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.

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Answer:

Step-by-step explanation:

The answer is (3,0)

You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.

If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true

steps

-2(3) +3 = -3

And if you plug (3,0) into the second inequality y < x-2 you get 0 <  1 which is also true

So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.

The given are the expressions that are equivalent to 15 for [x] = 1/2 and [y] = 3 :

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

Given are the expressions as shown in the image attached.

Let us check the expressions for an equivalent value of 15.

Expression [1] :

4(2y - 4x) - 1

4(2 x 3 - 4 x 1/2) - 1

4(6 - 2) - 1

4 x 4 - 1

16 - 1

15

Expression [2] :

4(x² + 1) + 2x + 3y

4(1/4 + 1) + 2 x (1/2) + 3 x 3

4(5/4) + 1 + 9

5 + 10

15

Expression [3] :

xy + 3[tex]\frac{1}{2}[/tex] + 20x

1/2 x 3 + 7/2 + 20 x 1/2

3/2 + 7/2 + 10

1.5 +  3.5 + 10

15

Therefore, the expressions that are equivalent to 15 when [x] = 1/2 and [y] = 3 are

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Step-by-step explanation:

A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?

equation:

100 = 2w - 26

solving:

100 = 2w - 26

74 = 2w

w = 37 more bottles

the probability to get two consecutive reds will be 19.75%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.

The probability of not getting two consecutive red is  1  minus the probability of getting two consecutive greens. Since the spinner is fair, the probability of getting a green on any one spin is  4/9

Since consecutive spins are independent, the probability of getting two consecutive red is (4/9)² = 16/81= 19.75%

Hence the probability to get two consecutive reds will be 19.75%.

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A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.

The required details for pounds in given paragraph

This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.

B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.

C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.

what is pound?

A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.

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Answer:x-25=y

Step-by-step explanation:

u just subtract and put it into equation form

Answer:

Two-thirds

Step-by-step explanation:

slope is

∆y/∆x = (y2-y1) divided by (x2-x1)

= (-8-(-6)) divided by (-6-(-3))

= -2 divided by -3

= 2/3

Answer:

1.4

Step-by-step explanation:

12x-15=6-3x

+3x         +3x

15x-15=6

     +15 +15

15x=21

/15.  /15

x=1.4

hopes this helps

Answer:

1.4

Step-by-step explanation:

12x-15+3x=6

15x-15=6

15x=6+15

15x=21

x=21:15

x=1.4

Answer:

x = -2

Step-by-step explanation:

Solve for x:

4 x + 8 = 0

Subtract 8 from both sides:

4 x + (8 - 8) = -8

8 - 8 = 0:

4 x = -8

Divide both sides of 4 x = -8 by 4:

(4 x)/4 = (-8)/4

4/4 = 1:

x = (-8)/4

8/4 = (4×2)/4 = 2:

Answer: x = -2

Answer:

The zero of the function is at x = -2

Step-by-step explanation:

The area of region R is given by the integral ∫[0,5] (x^2+2) dx = 41.6667,The volume of the solid is given by the integral ∫[0,5] (x^2+2)^2 dx and the equation to find the value of k is given by the equation ∫[0,k] (x^2+2) dx = ∫[k,5] (x^2+2) dx.

a) We must integrate the function (x2+2) over the range [0,5] in order to determine the area of region R. The ensuing integral provides this information:

∫[0,5] (x^2+2) dx = 41.6667

b) To get the solid's volume, we must integrate the function (x2+2)2 over the range [0,5]. The ensuing integral provides this information:

∫[0,5] (x^2+2)^2 dx \sc) We must construct an equation that asserts that the area of the region below the line y=k is equal to the area of the region above the line y=k in order to get the value of k. The following equation yields this:

∫[0,k] (x^2+2) dx = (x2 + x2)[k,5] dx

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The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a  [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]

Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.

Hence, the formula is  [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].

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Your question is incomplete , here is the complete question

In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?

[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]

$600 is the regular price of the stainless steel

Percentage simply means the number or ratio that can be expressed as a fraction of 100. In this case, when we have to calculate percent of a number, we then divide the number by the whole and multiply by 100.

Given: Sales price with discount = $479.99, savings = 20% off. This implies there is a 20% discount.

Let P represent the regular price. Thus, we can write:

P - (20% of P) = $479.99

P - 0.2P = 479.99

0.8P = 479.99

P = 479.99 / 0.8

P = $599.9875 ≈ $600

Thus, the regular price of the stainless steel is $600

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Answer:

Irrational

Step-by-step explanation:

[tex]\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}[/tex] and this is irrational

So [tex]\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}[/tex] which is irrational

(adding an irrational number to anything gives an irrational number)

Answer:

x = -522 19/30

Step-by-step explanation:

To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.

Answer:

b. [tex]y = -0.03x + 18.4[/tex]

explanation:

is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.

Solve the inequality. v - (-5) < -9 the solution for the inequality is

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

The given algebraic expression is v - (-5) < -9

This is solved as follows

v - (-5) < -9

v + 5 < -9

v < -9 - 5

v < -14

The value of v is -14

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The approximate value of [tex]log_4128[/tex] is 3.5.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.

Given: log 128≈ 2.1  and  log 4≈ 0.6

We have to find the approximate value of [tex]log_4128[/tex].

We know that,

[tex]log_ba = \frac{loga}{logb}[/tex]

Here,

[tex]log_4128 = \frac{log128}{log4}[/tex]

Plug the values of log 128 and log 4

⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]

Hence, the approximate value of [tex]log_4128[/tex] is 3.5.

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Answer:

m∠ x is 130° and m∠ y is 130°

Step-by-step explanation:

Based on the drawn example I gave would explain why

So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent

Thus making ∠AGH or m∠ x equals 130°

Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell

Thus making ∠DHG or m∠ y equals 130°

Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also

The transformation from the parent function are (a) g(x) is horizontally stretch by 1/2 and reflected across the y-axis

From the question, we have the following function that can be used in our computation:

f(x) = x³

g(x) = (-2x)³

First, we have the transformation to be:

From f(x) = x³ to f'(x) = (−x)³

This means the function is reflected across the y-axis

So, we have the following representation

f'(x) = f(-x)

Next, we have:

From f'(x) = (−x)³ to g(x) = (−2x)³

This means the function is horizontally stretched by a factor of 1/2

Hence, the transformation is reflection across the y-axis and horizontally stretch by 1/2

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The required equation of line is x - 4y + 8 = 0, and graph is shown below.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Given that,

That line passes through the point (4, 3),

And the slope of the line is 1/2.

To determine the graph of the line,

First find equation of line,

By using formula of line that passes through point (x₁, y₁) and whose slope is m,

y - y₁ m (x - x₁)

Substitute the values here,

y - 3 = 1/4(x - 4)

4y - 12 = x - 4

x - 4y - 4 + 12 = 0

x - 4y + 8 = 0

The required equation is x - 4y + 8 = 0,

The graph of the equation of line is shown below.

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Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.

That if one angle measures 130°, the measure of its vertical angle must also be 130°.

If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.

We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.

Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.

Therefore, the value of k is 9.

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Answer:

just use the number line

-3<x<4

and

x<3