Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown.


Who will charge more for 5.5 hours, Oscar or Latoya? How much more?


Who?

How much more?

The volume of the solid is 243/2 cubic units. To find the volume of the solid, we need to integrate the function z = 9 - y - x^2 over the bounded region in the first octant.

The region is bounded by the coordinate planes, so we have the limits of integration as follows:

0 ≤ x ≤ √9-y
0 ≤ y ≤ 9

The solid is bounded, so the integral will give us a finite volume:

V = ∫∫z dA, where the double integral is taken over the bounded region.

V = ∫[0,√9-y]∫[0,9] (9-y-x^2) dx dy

We can simplify the integrand by integrating with respect to x first:

V = ∫[0,9] ∫[0,√9-y] (9-y-x^2) dx dy
V = ∫[0,9] (9y - y^2 - 3(9-y)^2/2) dy
V = ∫[0,9] (-3y^2 + 54y - 243/2) dy
V = [-y^3/3 + 27y^2 - 243/2 y] [0,9]
V = 243/2

Therefore, the volume of the solid is 243/2 cubic units.

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the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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An ordered set of numbers or objects in which the order helps you predict what will come next is called the pattern.

It is required to explain about ordered set.

What is an ordered set?

An ordered set is a relational structure (S,⪯) such that the relation ⪯ is an ordering. Such a structure may be: A partially ordered set (poset) A totally ordered set (toset).

solution:

An ordered set and if the ordering is so tricky that every non-empty set has a minimal value, then it is a well ordered set.

An ordered set!

ordered set” is ambiguous, since it can mean either a partially ordered set, in which an ordering exists but not all elements are ordered relative to one another, or a totally ordered set, in which every element is either  ≥  or  ≤  every other element.

Therefore, an ordered set of numbers or objects in which the order helps you predict what will come next is called the pattern.

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Answer:

Those sympathetic to slavery in Union border states, such as Kentucky and Delaware, did not support the Emancipation Proclamation because it granted freedom to slaves if their home southern states did not join the Union by January 1, 1863.

Missouri, Maryland, Kentucky and Delaware were slave holding border states and not in rebellion from the Union so the Proclamation did not effect their slaves. But, the area of the border states were closely linked to the South and held political, economic, geographic, and social connections to the Southern (and Northern) states. This led border states to not support the Emancipation Proclamation.

Step-by-step explanation:

The number of different values obtained by inserting parentheses into the expression "5-1-1-1-1-1" is 10.

To find out the number of different values that can be obtained by inserting parentheses into the given expression, we can use a counting technique called Catalan numbers.

The expression 5−1−1−1−1−1 has 5 subtraction operations. To insert parentheses, we can choose any two subtraction operations and group the terms between them. Therefore, the number of different ways to insert parentheses is equal to the number of ways to choose 2 positions out of the 5 positions for the subtraction operations.

This can be calculated using the formula for combinations: nCk = n! / (k!(n-k)!), where n is the total number of positions and k is the number of positions to choose.

In this case, n = 5 and k = 2. Plugging in the values, we have:

5C2 = 5! / (2!(5-2)!) = 5! / (2!3!) = (5*4*3*2*1) / ((2*1)(3*2*1)) = 10

Therefore, there are 10 different values that can be obtained by inserting parentheses into the given expression.

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Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.

Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.

Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.

Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.

Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.

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Answer:

5

Step-by-step explanation:

the absolute value is also the modulus to find that it means square root of x^2 + y^2

x is -4 y is 3

=5

Answer:

150%

Step-by-step explanation:

15 / 10 =

1.5 =

150%

D: "\(c_{1} = 10\) and \(c_{2} = 2\)" are programmer-defined constants for quadratic probing that cannot be used in a quadratic probing equation. Option D is correct answer.

The quadratic probing equation is defined as:

h (k, i) = (h′(k) + \(c_{1}\) * i + \(c_{2}\) * i^2) mod m,

where h′(k) is the hash value of key

k and m is the size of the hash table.

The constants \(c_{1}\) and \(c_{2}\) are programmer-defined constants that are used to compute the new hash index when a collision occurs in the hash table.

The given hash function is h(k) = k % 10.

Therefore, the hash value of any key will be between `0` and `9`.Now, let's check which of the given programmer-defined constants for quadratic probing cannot be used in a quadratic probing equation:

Option A: `c1 = 1 and c2 = 0`This option can be used in the quadratic probing equation. It means that linear probing is being used.

Option B: \(c_1 = 5\) and \(c_2 = 1\) This option can be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + 5i + i^2) mod m`.

Option C: \(c_1 = 1\) and \(c_2 = 5\) This option can be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + i + 5i^2) mod m`.

Option D: \(c_1 = 10\) and \(c_2 = 2\) This option cannot be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + 10i + 2i^2) mod m`.

Since \(c_{1}\) is greater than or equal to `m`, this equation will always result in a hash index that is greater than or equal to `m`. Therefore, it is not possible to use `\(c_{1}\)= 10` in the quadratic probing equation. Hence, the correct option is D.

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If two marbles are drawn from the bag without replacement the probability of (B|A) expressed in simplest form would be = 5/16.

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = Possible outcome/sample space.

For event A;

Possible outcome = 5

Sample space = 4+7+5 = 16

P(A) = 5/16 = 0.3125

For event B:

Possible outcome = 7

sample space = 16-1 = 15

P(B) = 7/15= 0.4667

But;

P(A/B) = P(A∩B) / P(B),

P(A/B) = 0.3125×0.4667/0.4667

= 0.3125 = 5/16

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The net flux through the box is zero, which means that the total electric charge enclosed by the box is also zero.

Flux is a concept that arises in various fields of physics and engineering, including electromagnetism, fluid mechanics, and thermodynamics. In general, flux refers to the flow of some physical quantity across a surface or through a volume.

Let's first consider the face with normal vector in the positive x direction. The area of this face is (1.7 cm)² = 0.0289 m².

The electric field is given by e⃗ =(370x 150)i^n/c where x is the distance from the origin along the x-axis.

On this face, x ranges from 0 to 0.017 m.

Therefore, the flux through this face is:

\(Φ_x = \int\int E · dA = \int \int e_x dA\)

\(= \int \int e_x dx dy\)

= ∫0⁰⁰¹⁷ ∫0 ⁰⁰¹⁷(370x) dx dy

= (370/2) (0.017)²

= 5.8775 × 10^⁻⁵ N·m²/C

The faces with normal vectors in the positive y and z directions have the same area and the same integral, so the total flux through these three faces is:

Φ_xyz = 3 Φ_x = 1.76325 × 10⁻⁴ N·m²/C

Similarly, the faces with normal vectors in the negative x, y, and z directions also have the same integral, which is equal in magnitude but opposite in sign to the integral for the corresponding positive faces. Therefore, the total flux through these three faces is:

Φ_-xyz = -3 Φ_x

= -1.76325 × 10⁻⁴ N·m²/C

The net flux through the entire box is the sum of the fluxes through all six faces:

Φ_net = Φ_xyz + Φ_-xyz

= 0 N·m^2/C

Therefore, the net flux through the box is zero, which means that the total electric charge enclosed by the box is also zero.

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Answer:

Step-by-step explanation:

It's pretty simple.

All you have to do is this:

All we did was put a percentage sign at the end at the number.

If you want to do it the hard way,

Do this:

What we did was move a decimal point 2 spaces to the left.

This also counts as a percentage.

The angles R and U of the two triangles are equal, the ratio of the sides is RS/UW = RT/UV.

A triangle is a three-sided polygon which is one of the basic shapes in geometry. It is a closed figure formed by three line segments which are connected end-to-end. Each side of a triangle is called an edge, and each corner is called a vertex. The angles of a triangle are the interior angles which are formed by the intersection of two edges. Triangles come in many different types depending on the length of the sides and the size of the angles. The three most common types of triangles are equilateral, isosceles, and scalene.

Proof:
The two triangles, RST and UWV, are similar triangles because the angles R and U are equal. According to the similarity theorems, if two angles of one triangle are equal to two angles of a second triangle, then the two triangles are similar.

Since the two triangles are similar, their sides are proportional. The proportionality can be expressed as:

RS/UW = RT/UV

The proof is completed by applying the Angle-Angle Similarity Postulate which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This implies that the proportionality of the sides of the two triangles can be expressed as a ratio of the sides. Since the angles R and U of the two triangles are equal, the ratio of the sides is RS/UW = RT/UV.

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Answer:

$2.90

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9

you can always use your fingers or make circcles to count

Answer:9

Step-by-step explanation: how many fingers do you have? 10 Right? so you could cont five on one hand and four on the other to get nine.

Answer:

64

Step-by-step explanation:

160 + 136 = 296

360 - 296 = 64

I believe the answer is 5/4

Sorry if I’m wrong ;(

Answer:

4.1667

Your welcome!

Answer:

45.7% or if rounded, 46%

Step-by-step explanation:

1st, you add up the total of people in the House of Representatives.

238+201=439

Then divide the number of Democrats 201 by the total number 439 to get .457  which is 45.7% or if you need to round 46%

To double check, multiply the total number 439 X 45.7% to get 200.6

Answer:

5.1

Step-by-step explanation:

11.5 + 5.6 + 8.8 = 29.5

31 - 29.5 = 5.1

Answer: You plug in y as 0 into your equation.

Step-by-step explanation:

Do the above thing OK.

Pythagorean theorem tells us how the side lengths of right triangles are related.

The Pythagorean theorem, also known as the Pythagorean identity, states that the sum of the squares of the lengths of the two sides forming the right angle is equal to the square of the length of the hypotenuse in any right triangle (the side opposite the right angle). In other words, the Pythagorean theorem can be used to calculate the length of the hypotenuse given the lengths of the two sides of a right triangle.

This relationship can be written as the equation:

\(a^2 + b^2 = c^2\)

where a and b are the lengths of the legs, and c is the length of the hypotenuse. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

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Liam is correct, the fractions 4/5 and 20/25 are equivalent.

Liam says that the two fractions 4/5 and 20/25 are equivalent fractions, remember that two fractions are equivalent only of the quotients are equal.

To check if the fractions are equivalent, we can take the larger one and try to simplify it to get the other fraction.

So let's start with 20/25

If we divide both numerator and denominator by 5, we will get:

(20/5)/(25/5)

4/5

We got the other fraction, so yes, Liam is correct.

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Step-by-step explanation:

✧ \( \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }: \)

⋆ \( \large{ \bf{(4x + 9) \degree = 2x \degree + (3x - 12) \degree}} \) [ Exterior angle is always equal to the sum of two non - adjacent interior angles ]

~Remove the unnecessary brackets

⟶ \( \large{ \bf{4x \degree + 9 \degree = 2x \degree + 3x \degree - 12 \degree}}\)

~Add the like terms : 2x ° & 3x°

⟶ \( \large{ \bf{4x \degree + 9 \degree = 5x \degree - 12 \degree}}\)

~Move 4x to right hand side and change it's sign

~Similarly move 12 to left hand side and change it's sign

⟶ \( \large{ \bf{9 \degree + 12 \degree = 5x \degree - 4x \degree}}\)

⟶ \( \large{ \bf{21 \degree = x \degree}}\)

⟶ \({ \large{ \bf{x = 21 \degree}}}\)

⤿ \( \large{ \bf{4 \times 21 \degree + 9 \degree}} = \boxed{93 \degree}\)

☥ \( \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline { \tt{93\degree}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

❅ Let me know if you have any questions regarding my answer! ❅

☞ \( \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}\) !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

exterior angle=4x+9=4×21+9=93

Step-by-step explanation:

2x+3x-12=4x+9 exterior angle is equal to the sum of two opposite interior angle of the triangle

5x-4x=12+9

x=21

Answer:

Fraction = \(\frac{1}{20}\) and Decimal = 0.05

Step-by-step explanation:

Percent means, some number over a hundred.

in this case we have 5%

\(\frac{5}{100} = \frac{1}{20}\)

and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.

Marilyn has $75 to spend on two Series EE savings bonds as graduation gifts. The face values of the bonds she can buy are $50, $75, and $100. Therefore, she could buy two $50 bonds.

Since Marilyn has $75 to spend and she needs to buy two bonds, the total face value of the bonds she can purchase must be equal to $75.

Let x be the face value of the first bond, then the face value of the second bond must be 75 - x.

The face values of the bonds are $50, $75, and $100, so we can set up the following three equations

x + (75 - x) = 75 (since the total face value must be $75)

x = 50 (since the face value must be $50, $75, or $100)

x = 100 (since the face value must be $50, $75, or $100)

Solving these equations, we find that the possible face values for each bond are $50 and $25, $75 and $0, or $100 and $-25 (which is not a valid option).

Therefore, Marilyn could buy two bonds with face values of $50 each, or one bond with a face value of $75 and the other with a face value of $0 (which essentially means she would only be buying one bond).

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Since it is translated 5 units down that means the y-intercept is -5, so the equation above is correct.

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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