Question 3 (Fill-In-The-Blank Worth 5 points)
(01.03 LC)

What number should be placed in the box to help complete the division calculation?

Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.

Numerical Answers Expected!

Answer for Blank 1:

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

\(x=5,\:y=-1\)

Step-by-step explanation:

Given the system of equations

\(x-y=6;\:y=-1\)

solving

\(\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=-1\)

\(\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}\)

\(\begin{bmatrix}x+1=6\end{bmatrix}\)

Isolate x for \(x+1=6\)

\(x+1=6\)

\(x=5\)

Therefore, the solution of the system of equations will be:

\(x=5,\:y=-1\)

Answer:

the commission amount does an agent make is $100

Step-by-step explanation:

The computation of the commission amount does an agent make is as follows:

= Commission percentage × policy amount

= 10% × $1,000

= $100

Hence the commission amount does an agent make is $100

It could be determined by applying the given formula so that the correct amount could come

Option (A) is the correct option and on simplifying the expression by combining like terms we get,

24 - 3p.

Given, the expression 6(4 - 2p) + 9p

On simplifying, we get

24 - 12p + 9p

24 - 3p

So, on simplifying the given expression, we get

24 - 3p

Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,

24 - 3p

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\(2x+y+3\sqrt 5=0\)

​

Step-by-step explanation:

hope this helped

Amy’s monthly budget for textbooks in course supplies is $900.00

Amy's monthly budget for rent, utilities and food is $12,798.

Her monthly budget for a personal and miscellaneous cost is $2,259.

Her total monthly budget equals $15,957.

A budget is best defined as estimation of the revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis.

Budget for textbooks:

= $900.00

Budget for rent, utilities and food:

= $12,798.

Budget for personal and miscellaneous cost:

= $2,259.

Total monthly budget:

= $900 + $12,798 + $2,259

= $15,957.

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Answer:

The correct answer is C) Completing the square.

Step-by-step explanation:

In the first step of the derivation, the left-hand side of the equation is the standard form of a quadratic equation, with the variable x raised to the second power and the coefficient of x being 1. In the second step, the expression on the left-hand side is rewritten as the square of a binomial, with the constant term b/2a added to the binomial. This process of adding the constant term and then squaring the resulting binomial is called "completing the square." By completing the square, it is possible to rewrite the original quadratic equation in a form that can be easily solved using the quadratic formula.

Answer: i think it’s A and D

Answer:

a

Step-by-step explanation:

Both the exponential and logarithmic functions tend to infinity.

Answer: 8

Step-by-step explanation:

      We see that each term is 5 less than the previous one. We will subtract 5 from 13 to find the next term in the sequence.

                    13 - 5 = 8

1209 Remainder 2

hope this is helpful :)

The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula  ⁴C₃(0.60)³(0.40)

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = ⁿCₓ pˣq⁽¹⁻ˣ⁾

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the total number of employees be = 500

Now , the probability of success of selecting employees having children is given by p = 0.60

So , the value of q = 1 - p

q = 1 - 0.60

q = 0.40

So , The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula

where,

P ( x ) = ⁿCₓ pˣq⁽¹⁻ˣ⁾

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Substituting the values in the equation , we get

P ( x ) = ⁴C₃(0.60)³(0.40)

On simplifying the equation , we get

P ( x ) = 4 x 0.246 x 0.4

P ( x ) = 0.3456

Therefore , the value of P ( x ) is 0.3456

Hence , The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula ⁴C₃(0.60)³(0.40)

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The probability of rolling a specific number is 1/6 or approximately 0.1667.

When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.

The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.

For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.

In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.

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The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

Answer:

A completely randomized design

Step-by-step explanation:

The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

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Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Answer:

105

Step-by-step explanation:

When finding the perimeter add them together

Answer:

24

Step-by-step explanation:

i dont know if its correct

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

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Given:

Number of strawberry candy = \(\bold{8\ pieces}\)

Number of rhubarb candy = \(\bold{7 \ pieces}\)

Find the number of ways for equally distributing candy to all 5 children

Using formula:

\(\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}\)

Calculating the distributing way for strawberry candy:

\(\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}\)

           \(\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}\)

Calculating the distributing way for rhubarb candy:

\(\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}\)

           \(\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}\)

Adding both distributing ways:

\(\to \bold{56+21=77}\) ways

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The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 520, \pi = \frac{325}{520} = 0.625\)

Then the lower bound of the interval is given as follows:

\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)

The upper bound of the interval is given as follows:

\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)

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The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

Yes Jeff is the correct answer

Step-by-step explanation:

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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Answer:

I'm pretty positive that the answer is A

Answer:

Step-by-step explanation:

Thanks I will go there soon

Answer:

Rita had a 28-mile head start.

Step-by-step explanation:

Answer:

the answer is A my lil' dudes

Step-by-step explanation: