46 = 3b + 70
What is b?

The given number 2/3 belongs to the subset of rational numbers.

All numbers on the number line, from negative to plus infinity, are considered to be real numbers. They are breaking up into the following groups:

1. We can count the components of a set using natural numbers.

2. Natural numbers and their opposites in the negative, such as zero, are known as integers.

3. Fractions can be used to express rational numbers.

4. Non-periodic infinite decimals are indicative of irrational quantities.

The answer to the given question is : It belongs to the rational numbers because it is a fraction.

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Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

????????????????

Step-by-step explanation:

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

Answer:

18$ for 9 attendees

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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The magnitude of angle A (m∠A) is equal to 34.0 degrees.

In order to determine the magnitude of angle A (m∠A) in this triangle with the adjacent, opposite and hypotenuse side lengths given, we would have to apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Where:

A, B, and C represent the side lengths of a triangle.

By substituting the given side lengths into the law of cosine formula, we have the following;

10² = 17² + 11² - 2(17)(11)cosA

100 = 289 + 121 - 374cosA

374cosA = 410 - 100

374cosA = 310

cosA = 310/374

cosA = 0.8289

A = cos⁻¹(0.8289)

A = 34.0 degrees.

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To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

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Answer:

The correct option is (6, 0) is located on the x-axis.

Step-by-step explanation:

Given that we plot (6, 0) and (0, 5) on the xy–plane. We know that in (6, 0) 6 is the x-coordinate and 0 is the y-coordinate while in (0, 5) 0 is the x-coordinate and 5 is the y-coordinate.

Therefore, (6, 0) can be found on the x–axis not on the origin because it has shifted from 0 to 6 and (0, 5) can be found on the y-axis not on the origin because it has shifted from 0 to 5.

Hence, the correct option is (6, 0) is located on the x-axis.

Answer:

x-axis

Step-by-step explanation:

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

Answer:

56:72

=76/52=1

=19/13=1

=13:19

Step-by-step explanation:

If you multiply both of the numbers or divide both of the numbers by the SAME number , the ratio is the same

Example    56:72     multiply by 2     =  112 : 144   <===this is the same ratio

     56 :72    multiply by 3.5     = 196 : 252     same ratio

    56:72    multiply by 1/4      =   14 : 18     same ratio  

        etc   etc    

Answer:

one solution y=1 . x=-3

Step-by-step explanation:

Answer:

£4800

Step-by-step explanation:

principal amount:£800

time:3years

rate:2%

amount= principal*rate*time

£800*2*3

=£4800

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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To prove that \((A \triangle B) \triangle C = A \triangle (B \triangle C)\), we can use the properties of the symmetric difference operation \(\triangle\) and set theory.

The main idea is to show that both sides of the equation contain the same elements and, therefore, represent the same set.

Using the definition of the symmetric difference, we can expand each side of the equation:
\((A \triangle B) \triangle C = ((A \cup B) \setminus (A \cap B)) \triangle C\)
\(= (((A \cup B) \setminus (A \cap B)) \cup C) \setminus (((A \cup B) \setminus (A \cap B)) \cap C)\)

Similarly, expanding the other side:
\(A \triangle (B \triangle C) = A \triangle ((B \cup C) \setminus (B \cap C))\)
\(= (A \cup ((B \cup C) \setminus (B \cap C))) \setminus (A \cap ((B \cup C) \setminus (B \cap C)))\)

By associativity of the union and intersection operations, as well as the commutativity of the union operation, we can rearrange the terms in both sides of the equation and simplify the expressions further. This will ultimately lead to the same set of elements on both sides.

Expanding and simplifying both sides of the equation in detail can be quite lengthy, but by using the properties of set operations, associativity, and commutativity, it is possible to demonstrate that \((A \triangle B) \triangle C\) and \(A \triangle (B \triangle C)\) represent the same set.

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Step-by-step explanation:

s = a+39

s+a = 180

a+39+a = 180

2a = 180-39

2a = 141

the angle = 70.5°

the supplement = 109.5°

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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The final answer is option D with a sensitivity of 98.3% and a specificity of 96.8%.

Given that,

Total individuals (N) = 100

Predicted probability cut-off = 0.6

Predicted diabetics (P) = 69

Actual diabetics (A) = 58

Predicted non-diabetics (N-P) = 31

Actual non-diabetics (N-A) = 42

To calculate the number of false positives,

False positives = Number of non-diabetic individuals predicted as diabetic

⇒ False positives = N(P)-(A)

⇒ False positives = 69-58

⇒ False positives = 11

To calculate the number of true negatives,

True negatives = Number of non-diabetic individuals predicted as non-diabetic

⇒ True negatives = N(N-P)-(N-A)

⇒ True negatives = 100-31-42

⇒ True negatives = 30

To calculate the number of false negatives,

False negatives = Number of diabetic individuals predicted as non-diabetic

⇒ False negatives = A - N(P-A)

⇒ False negatives = 58 - (69-58)

⇒ False negatives = 6

To calculate the model's sensitivity,

⇒Sensitivity = A / (A + false negatives)

⇒Sensitivity = 58 / (58 + 6)

⇒Sensitivity = 0.983 or 98.3%

To calculate the model's specificity,

⇒Specificity = true negatives / (true negatives + false positives)

⇒Specificity = 30 / (30 + 11)

⇒Specificity = 0.968 or 96.8%

Therefore,

There is "a sensitivity of 98.3% and a specificity of 96.8%" is correct,.

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Answer:

4 = 90°

Step-by-step explanation:

If a box is drawn, that means it is 90 degrees exactly.

Angle 4 has that same box drawn, so that means it is 90°

I Hope That This Helps! :)

Answer:

11 up , 11 left

Step-by-step explanation:

Given

\((17, -9)\) to \((6,2)\)

Required

Determine the translation rule

Considering the x coordinates.

From 17 to 6

6 is to the left of 17.

Using the translation rule:

\(x = x' + b\)

\(17 = 6 + b\)

\(17 - 6 = b\)

\(11 = b\)

\(b = 11\)

Hence: From 17 to 6 is 11 units left translation

Considering the y coordinates.

From -9 to 2

2 is at the top -9.

Using the translation rule:

\(y = y' + b\)

\(-9 = 2 + b\)

\(-9 - 2 = b\)

\(-11= b\)

\(b = -11\)

The negative value impies a upward translation.

Hence: From -9 to 2 is 11 units up translation

The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

The variables are given as follows:

She needs to print no fewer than 8 copies, hence:

\(x + y \geq 8\).

It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:

\(4x + 2y \leq 25\).

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The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

.. .. .......

the answer is 100.....

Answer:

100°

……………………………………,,,,,,,,,,,,,,,,

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

1696.5 in.

Step-by-step explanation:

For the base of the cylinder use: \(\pi r^{2}\)

where r is the radius and can be found by dividing the diameter by 2.

Then multiply that by the height to get the answer.

Answer:

4

Step-by-step explanation:

1,2,3,4