factorise k^2 + 5k + 6​

Answer:

$36.35

Step-by-step explanation:

First, add -20.85 to 15.50:

20.85+15.50=36.35

Next, check to see if your answer is right:

36.35-20.85=15.50

or

36.35-15.50=20.85

Bam

Answer:

true

Step-by-step explanation:

Answer: false

Step-by-step explanation:

The population after 11 years will be  56,181.

The rate of increase of the population would be represented with an exponential equation.

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = \(e^{x}\)

Where:

Population after t years = \(p(1 + r)^{t}\)

Where:

= \(32,000(1 + 0.0525)^{11}\)

= \(32,000(1.0525)^{11}\)

= 56,181

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Answer: availability heuristic

Step-by-step explanation:

Let distances be x

ATQ

\(\\ \rm\hookrightarrow \dfrac{3}{4}x=45\)

\(\\ \rm\hookrightarrow \dfrac{3x}{4}=45\)

\(\\ \rm\hookrightarrow 3x=45(4)\)

\(\\ \rm\hookrightarrow 3x=180\)

\(\\ \rm\hookrightarrow x=\dfrac{180}{3}\)

\(\\ \rm\hookrightarrow x=60\)

Answer:

35 inches

L×W=A

length×width=area

Answer:

35

Step-by-step explanation:

A = wl

7 x 5 = 35

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Answer:

first put 2 in the numerator for the first blank and 2/9 in the second blank

Step-by-step explanation:

1/3 equals 3/9 and 3/9-1/9=2/9

Answer:

\(\frac{3}{9}\)

Step-by-step explanation:

The check for independence in a one- sample is

The population size is further than 10 times the sample size.

The Correct option is D.

What is Z- test?

A Z- test is a statistical thesis test used to determine whether a sample mean significantly differs from a given population mean when the population standard divagation is known.

For a one- sample z- test for a population proportion, the sample is named without relief from a finite population.

In order for the test to be valid, it's necessary to insure that the sample is small relative to the population size.

still, it can be considered large enough to satisfy the independence supposition, If the population size is further than 10 times the sample size. This supposition is necessary for the validity of statistical conclusion in this environment.

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Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent.

So if one of your answers have equivalent ratios, that is your answer

The power of the test by subtracting this probability from 1: Power = 0.9285. None of the given options are correct.

To find the power of the test, we need to calculate the probability of rejecting the null hypothesis when the alternative hypothesis is true (i.e., when μ = 4.5).

First, we need to calculate the critical value for the test. Since the alternative hypothesis is one-tailed (μ<5), we will use a one-tailed t-test with α = 0.05. The degrees of freedom for the test are (n-1) = 35.

Using a t-distribution table or calculator, we can find that the critical t-value for this test is -1.699.

Next, we need to calculate the test statistic for the alternative hypothesis:

t = (\(\bar{x}\) - μ) / (s / √(n))
t = (4.67 - 4.5) / (1.2 / √(36))
t = 1.5

Now, we can use a t-distribution table or calculator to find the probability of getting a t-value greater than or equal to 1.5 with 35 degrees of freedom:

P(t ≥ 1.5) = 0.0715

Finally, we can find the power of the test by subtracting this probability from 1:

Power = 1 - P(t ≥ 1.5) = 1 - 0.0715 = 0.9285

Therefore, the answer is not provided in the options.

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The purpose of the presentation is to explore the use of tangent lines, tangent planes, and Taylor polynomials for approximate integration. The existence of the level curve influences the accuracy of approximating g(x,y) by its second-degree Taylor polynomial.

By examining the level curve, we can determine the behavior of the function near the point of approximation. If the level curve is relatively flat, the second-degree Taylor polynomial will provide a more accurate approximation. However, if the level curve is steep or has significant curvature, the accuracy of the approximation may be lower.

This is because the second-degree Taylor polynomial assumes a locally linear behavior, which may not hold true if the level curve is highly nonlinear.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The veterinarian should charge the patient's owner a total of $100.00 for administering four vaccines, as each vaccine is priced at $25.00.

The veterinarian charges a fixed price of $25.00 for each vaccination administered. In this case, since the veterinarian administered four vaccines to the patient, the total charge can be calculated by multiplying the cost of one vaccine ($25.00) by the number of vaccines administered (4). Therefore, the veterinarian should charge the patient's owner a total of $100.00 for the four vaccinations.

To break it down further, each vaccination carries an individual cost of $25.00. When the veterinarian administers the first vaccine, the owner is charged $25.00. Similarly, for the second, third, and fourth vaccines, the charges remain the same, totaling $75.00. Adding up all these charges, the total amount comes to $100.00. Hence, the veterinarian should charge the patient's owner $100.00 for administering four vaccines.

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Answer:

5 completed cabinets.

Step-by-step explanation:

Number he can buid in 18 hours

= 18 / 3 1/4

= 18 / 13/4

= 18 * 4/ 13

= 5.5.

The sum of non- palindrome integer is b

A palindromic number is a number that remains the same when its digits are reversed.

Given:

$91 + 19 = 110$. then $110+011 = 121$

So, there are two numbers which needed 6 steps to become a palindrome number

First, 79

79 +97

=176 + 671

=847 + 748

=1,595 + 5,951

=7,546 + 6,457

=14,003 + 30,041

=44,044

and, the second number is

97 + 79=176

176+671=847

847+ 748= 1595

1,595 + 5,951 = 7,546

7,546 + 6,457 = 14,003

14,003 + 30041

= 44044

Hence, the sum of digits is 16.

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If a and b are any odd integers, then a2 + b2 is even.

And the proof for that we can explain as,

 So we have a and b are any odd integers. By definition of odd integer,

           a = 2r + 1 and b = 2r + 1 for any integers r and s.

By definition of odd integer,

          a = 2r + 1 and b = 2s + 1 for some integers r and s.

By substitution and algebra,

      a2 + b2 = (2r + 1)2 + (2s + 1)2 = 2[2(r2 +52) + 2(r + s) + 1]. 2r2 + 2s2.

        Then k is an integer because sums and products of integers are integers. Let k = Thus, a2 + b2 = 2k, where k is an integer.

Proof: 1. Suppose a and b are any odd integers.

Proof:2. By definition of odd integer, a = 2r + 1 and b = 2r + 1 for any integers r and s.

Proof:3. By substitution and algebra, a2 + b2 = (2r + 1)2 + (2s + 1)2 = 2[2(r2 + s2) + 2(r + s) + 1].

Proof:4. Let k = 2(r2 + s2) + 2(r + s) + 1. Then k is an integer because sums and products of integers are integers.

Proof:5. Hence a2 + b2 is even by definition of even.

Proof:6. Thus, a2 + b2 = 2k, where k is an integer.

  Hence we proved that "If a and b are any odd integers, then a2 + b2 is even".

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The factorization of the expression 2xy² + 8y will be 2y(xy + 4 ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2xy² + 8y. The factorized form of the expression is solved as below,

E = 2xy² + 8y

E = 2y ( xy + 4 )

Hence, the expression will be 2y( xy + 4 ).

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Let x be the number of sunflowers in each row.

Mark planted a total of 72 sunflowers. Since the sunflowers are planted in equal rows.

The equation we get,

x × 2x =72

simplifying the eq.

2x² =72

divide the eq. By

x² = 36

Now take the square root both the side we get

x= 6

therefore, Mark planted 6 sunflowers in each row.

The relevant details from the poem and the description of how they develop the subject are:

The fact that the narrator mentions how there are a pair of them means that they are not alone. It means that just because they are a nobody does not mean that they consider themselves to be alone.

The fact that they could be banished means that being a nobody is a bad thing that warrants the punishment of being banished from the society in question.

When a person is deary, it means that they are doing something that can either bring them praise or punishment which means that being somebody can either be positive or negative so it can be a positive to be a nobody.

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Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

Answer:

√113

Step-by-step explanation:

8*8 + 7*7 = c^2

64 + 49 = c^2

√113 =C

Answer:

8b + 4 = 6

Step-by-step explanation:

8b + 4 = 6

It didn't say you have to solve for b, but just in case...

8b = 6 - 4 = 2

b = 2/8 = 1/4

The depth of the water is 5.3 meters

The dolphin jumps to a height of 4.5 over the water's surface, and her companion swims 9.8 straight beneath her, according to the story.

We will take the position of the dolphin's friend and subtract it from the dolphin's position to determine the location of the dolphin's friend with respect to the water's surface.

-5.3 denotes the depth of the water.

As a result, the friend of the dolphin is located 5.3 meters below the water's surface.

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There are 12 combination ways to draw two cards of the same color from the shuffled deck, since there are 6 pairs of cards of the same color to choose from.

1. There are a total of 12 cards with 3 cards of each color (red, blue, yellow, and green).

2. To draw two cards of the same color, you must choose one of the six pairs of cards of the same color, which can be done in 6 ways.

3. Therefore, there are 6 x 1 = 6 possible ways to draw two cards of the same color from the shuffled deck.

If you draw three cards combination instead of two, there are still 6 ways to draw cards of the same color, since you must still choose one of the six pairs of cards of the same color. This can be done in 6 x 1 x 1 = 6 ways.

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Answer:

B

Step-by-step explanation:

it's the only one with y^2, which is found by 7y^2-6y^2

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The inverse of function f include the following: C. f⁻¹(x) = 7 - 21x.

In Mathematics and Geometry, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;

f(x) = y = 1/3 - 1/21(x)

x = 1/3 - 1/21(y)

1/21(y) = 1/3 - x

By multiplying both sides of the equation by 21, we have:

21 × 1/21(y) = (1/3 - x) × 21

f⁻¹(x) = 21/3 - 21x

f⁻¹(x) = 7 - 21x

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The region that lies inside the cylinder x2 1 y2 − 16 and between the planes z − 25 and z − 4  is  mathematically given as

\(\int\int \int_{E}^{2}+y^{2} \mathrm{dv}=384\pi\)

Generally, the equation for the volume integral: is  mathematically given as

\($\iiint_{E} \sqrt{x^{2}+y^{2}} \mathrm{dv}$\)

where

$E$ is the region within the cylinder

x^{2}+y^{2}=16 between the planes z=-5 and z=4.

These cylindrical coordinates will be used for the volume integral calculation that has to be done. The difference in volume when using cylindrical coordinates is calculated as follows:

\(\mathrm{dv} = {rdzdrd} \theta\).

The z limits are given as  -5 <= z <= 4. With cylindrical coordinates, we have:

\(x^{2}+y^{2}=r^{2} 0 \leq x^{2}+y^{2}=r^{2} \leq 16 > 0 \leq r \leq 4.\)

The theta limits are :

\($0 \leq \theta \leq 2 \pi$\).

We have \(x^{2}+y^{2}=r^{2} \Rightarrow$ $\sqrt{x^{2}+y^{2}}= r\)

The volume integral is what we have next.

\(\sqrt{x^{2}+y^{2}}=r\)

We then have the volume integral is:

\(&\iiint_{E} \sqrt{x^{2}+y^{2}} \mathrm{dv}= \\\\\&\int_{\theta=0}^{2 \pi} \int_{r-0}^{4} \int_{z--5}^{4} r(r \mathrm{~d} z \mathrm{~d} r \mathrm{~d} \theta) \\\\\&=\int_{0}^{2 \pi} \int_{0}^{4} \int_{-5}^{4} r^{2} \mathrm{~d} z \mathrm{~d} r \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi} \int_{0}^{4} r^{2}(z)_{-5}^{4} \mathrm{~d} r \mathrm{~d} \theta \\\\\)

\(&=\int_{0}^{2 \pi} \int_{0}^{4} r^{2}(4--5) \mathrm{d} r \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi} \int_{0}^{4} 9 r^{2} \mathrm{~d} r \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi}\left(3 r^{3}\right)_{0}^{4} \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi} 3\left(4^{3}-0\right. \\&=\int_{0}^{2 \pi} 3(64) \mathrm{d} \theta \\\\ =192 \int_{0}^{2 \pi} d \theta \\\\\ =192(\theta)_{0}^{2 \pi} \theta\)

\(\int\int \int_{E}^{2}+y^{2} \mathrm{dv}=384\pi\)

In conclusion,   the region that lies inside the cylinder  is

\(\int\int \int_{E}^{2}+y^{2} \mathrm{dv}=384\pi\)

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