1. You opened a new business. Your first year you earned $18,000. Your goal is to
increase your sales by 3% each year. With this goal, what will be your sales after 15
years of business? (rounded to the nearest hundredth)

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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Answer:

Parallelogram

Step-by-step explanation:

Hope this helps! Please leave any questions or concerns in the comments, byeee <3

Answer:

B

Step-by-step explanation:

40x(amount noel worked) because he is charging 40$ at a rate of 40 p/h so it is B.

Answer:

$9 was spent on books

Step-by-step explanation:

10% of 50 = 5

50-5 = 45

20% of 45 = 9

Answer:

$9

Step-by-step explanation:

Given:

You had $50

Spend 10% on clothes

Spend 20% rest on books

Solve:

$50 x 10% = 5

$50 - 5 = $45 [ Spend on clothes]

$45 x 20% = 9 [ Spend on Book]

Thus, Spend on books = $9

[RevyBreeze]

Answer:

6π

Step-by-step explanation:

First we need to find the circumference of the circle. We know that the radius is 4 and the formula is πd or 2πr

Leaving it in terms of pi, the circumference is 8π

Now we need to find the length of the arc.

Since the missing part of the circle is labeled with a right angle, we know that it's exactly 1/4 of the whole circle. That means the arc we need to find is 3/4 of the circumference.

3/4 of 8π is 6π

The woman at the dinner party consumed 24 fluid ounces of wine containing approximately 4.8 standard drinks assuming the wine had an alcohol content of 12%. She exceeded the recommended limit for moderate drinking on that day.

Assuming each glass of wine contained 8 fluid ounces, the woman consumed a total of 24 fluid ounces of wine throughout the evening.

To determine the number of standard drinks ingested, we need to know the alcohol content of the wine. In the United States, a standard drink is defined as containing 0.6 fluid ounces or 14 grams of pure alcohol.

Assuming the wine had an alcohol content of 12% (which is a typical percentage for table wine), we can calculate the number of standard drinks ingested by using the following formula:

Number of standard drinks = (Volume of alcohol consumed in ounces x % alcohol by volume) / (0.6 ounces of alcohol per standard drink)

Number of standard drinks = (24 fl oz x 0.12) / 0.6 fl oz

Number of standard drinks = 4.8

Therefore, the woman consumed approximately 4.8 standard drinks.

To determine if she drank alcohol in moderation, we need to consider the recommended limits for moderate drinking. According to the National Institute on Alcohol Abuse and Alcoholism, moderate drinking is defined as up to one drink per day for women.

Since the woman consumed 4.8 standard drinks in one evening, she exceeded the recommended limit for moderate drinking for that day.

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On factorization of the equation x² − x − 6 = 0. Then the values of x are −2 and 3.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

x² − x − 6 = 0

On factorization, we have

 x² − 3x + 2x − 6 = 0

x(x − 3) + 2(x − 3) = 0

       (x − 3)(x + 2) = 0

                         x = −2, 3

The values of x are −2 and 3.

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Answer:

Step-by-step explanation:

-2 and 3

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.

The amplitude of the canonical function is determined by the Pythagorean theorem:

A' = √(2² + 5²)

A' = √ 29

The angular frequency C  is the constant within the trigonometric functions from the non-canonical formula:

C = 4π

Then, we find the initial position of the weight in time: (t = 0)

y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)

y(0) = 5

And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)

5 = √ 29 · sin (4π · 0 + D)

5 / √ 29 = sin D

D ≈ 0.379π rad

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

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Answer:

16

Step-by-step explanation:

let boys equal to 5x

and girls equal to 4x

so 4x+5x=36

X=4

so boys are 5*4

boys are 20

and girls are 16

so boys are 4 more than girls

Answer:

16 girls

Step-by-step explanation:

boys : girls : total

5          4        5+4 = 9

take the total number of people and divide by 9

36/9 = 4

Each number should be multiplied by 4

boys : girls : total

5*4        4*4     9*4

20          16        36

There are 16 girls

Answer:

The 2nd one

Step-by-step explanation:

In this table we can see that all y values are the x value multiplied by 5, so it is proportional.

Answer:

True is the correct answer for this

Answer:

Perimeter = 55.4

Step-by-step explanation:

8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4

Hope this helps!

Answer:

Step-by-step explanation:

6th term.

a

6

=

32

7th term.

a

7

=

36

Answer:

-42

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Please mark me as brainliest

Answer:

false

Step-by-step explanation:

just took test

Let's begin by identifying key information given to us:

The fοllοwing are the steps tο prοve that the given quadrilateral is a parallelοgram.

A parallelοgram is a quadrilateral with twο pairs οf parallel sides. Here are sοme οf the key prοperties οf parallelοgrams:

These prοperties can be used tο sοlve prοblems related tο parallelοgrams, such as finding the length οf a side, the measure οf an angle, οr the area οf the parallelοgram.

Let's assume that we have a quadrilateral with οppοsite sides equal in length and diagοnals that are perpendicular tο each οther. We need tο prοve that this quadrilateral is a parallelοgram.

Tο prοve that the quadrilateral is a parallelοgram, we need tο shοw that its οppοsite sides are parallel.

Let's cοnsider the twο diagοnals οf the quadrilateral. Since they are perpendicular, they divide the quadrilateral intο fοur right triangles.

Let's label the vertices οf the quadrilateral as fοllοws: A, B, C, and D, where AB is parallel tο CD and AD is parallel tο BC.

Frοm the prοperties οf right triangles, we knοw that the hypοtenuse is the lοngest side οf a right triangle. In each οf the fοur right triangles fοrmed by diagοnals, the diagοnal is the hypοtenuse. Therefοre, each diagοnal is lοnger than any οf the sides οf the quadrilateral.

Since οppοsite sides οf the quadrilateral are equal in length, we knοw that AB = CD and AD = BC.

Let's cοnsider the triangles ABD and BAC. We knοw that AB = CD and AD = BC, and we alsο knοw that the diagοnals are perpendicular. Therefοre, by the Pythagοrean theοrem:

\(AB^2 + AD^2 = BD^2\)

\(CD^2 + BC^2 = BD^2\)

Substituting AB = CD and AD = BC, we get:

\(AB^2 + AD^2 = CD^2 + BC^2\)

Rearranging, we get:

\(AB^2 - BC^2 = CD^2 - AD^2\)

Factοrizing, we get:

(AB + BC)(AB - BC) = (CD + AD)(CD - AD)

Since AB = CD and AD = BC, we can simplify this expressiοn:

(AB + BC)(AB - BC) = (AB + BC)(AB - BC)

Since bοth sides οf the equatiοn are equal, we can cοnclude that AB = BC, which means that οppοsite sides οf the quadrilateral are parallel.

Therefοre, we have prοven that the quadrilateral is a parallelοgram, and we are dοne.

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Answer: each soda costs $1.5 and each hotdog costs $3.

Step-by-step explanation:

If H is the price for one hotdog and S is the price for one soda, we have the equations:

for Jack.

3*H + 2*S = $12

For Angie.

1*H + 4*S = $9

Now we can isolate one of the variables in one of the equations and then replace it in the other equation, let's isolate H in the second equation:

H = $9 - 4*S

now we replace it in the first eq

3*H + 2*S = $12

3*($9 - 4*S) + 2*S = $12

$27 - 12*S + 2*S = $12

-10*S = $12 - $27 = -$15

S = $15/10 = $1.5

Now we can replace it in the equation for H and get:

H = $9 - 4*$1.5 = $3

So each soda costs $1.5 and each hotdog costs $3.

Answer: One hotdog cost $3 and One soda costs $1.5

Step-by-step explanation:

Let hotdogs be denoted by h

Let sodas be denoted as s

Jack bought 3 hotdogs and 2 sodas for a total of $12. This can be written as:

3h + 2s = 12

Angie bought 1 hotdog and 4 sodas for $9. This can be written as:

h + 4s = 9

3h + 2s = 12

h + 4s = 9

1 × (3h + 2s = 12)

3 × (h + 4s = 9)

3h + 2s = 12

3h + 12s = 27

Subtract the equation

-10s = -15

s = -15/-10

s = 1.5

One soda cost $1.5

Since h + 4s = 9

h + 4(1.5) = 9

h = 9 - 6

h = 3

One hotdog costs $3

Answer:5566

Step-by-step explanation:

a) Build the probability distribution of X =  0.125.  b) Find the mean value of X= 1.875.  c) Find the standard deviation of X = 1.0533

a)

For a fair coin,

P(H) = P(T) = 0.5

Outcome X Probability

T 1 0.5

HT 2 0.5*0.5 = 0.25

HHT 3 0.5*0.5*0.5 = 0.125

HHHT 4 0.5*0.5*0.5*0.5 = 0.0625

HHHH 4 0.5*0.5*0.5*0.5 = 0.0625

So, the probability distribution of X is

X P(X)

1 0.5

2 0.25

3 0.125

4 0.0625+0.0625 = 0.125

b)

X P(X) X*P(X) X2*P(X)

1 0.5 0.5 0.5

2 0.25 0.5 1

3 0.125 0.375 1.125

4 0.125 0.5 2

\(\sum\) 1 E(X) = 1.875 E(\(x^{2}\)) = 4.625

Mean = \(\sum\)X* P(X) = 1.875

c)

Variance = E(\(x^{2}\)) - E\((x^{2} )\)= 4.625 – \(1.875^{2}\)  = 1.1094

Standard Deviation = \(\sqrt{variance} = \sqrt{1.1094} = 1.0533\)

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Answer:

x^4+3\cdot x^2+2=0

Answer:192 cookies

Step-by-step explanation:

8•24=192

Ingrid used 2.125 pints of blue paint to paint her bedroom walls.

Let's solve the problem given to us by using the method given below: Firstly, we need to calculate how many pints of paint Ingrid uses to paint her bedroom walls. Total pints of paint used = 8.5 pints3/4 of paint used is white. Using this information we can calculate the amount of white paint Ingrid uses. white paint used = 3/4 × 8.5 pints white paint used = 6.375 pints.

Now that we know the amount of white paint used, we can calculate the amount of blue paint used by subtracting the amount of white paint used from the total amount of paint used.pints of blue paint used = Total pints of paint used - white paint usedpints of blue paint used = 8.5 pints - 6.375 pintspints of blue paint used = 2.125 pintsTherefore, Ingrid used 2.125 pints of blue paint to paint her bedroom walls.

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Answer:

Step-by-step explanation: 122 degrees

Answer:

The watermelon candies taste $0.13 more.

Step-by-step explanation:

First, in order to find out how much each candy costs per ounce, you have to take the cost and divide it by the number of ounces. 3.48 divided by 12 is 0.29, so the watermelon candies cost $0.29 per ounce. 1.38 divided by 8 is 0.16, so the chewy chocolates cost $0.16 per ounce. In order to find how much more the watermelon candies cost, we have to subtract the cost of the watermelon candies by the cost of the chocolate candies. 0.29-0.16=0.13, so the watermelon candies cost $0.13 more than the chocolate candies.

Answer:

124

Step-by-step explanation:

14 -22=8

8= the number of students that didn't like playing baseball

Somehow 8 = 800%

if you subtract 800%-308 it gives you -124

124 students don't like playing baseball

Answer:

(a²b)³(b²c²)=a⁶b⁵c²

The probability calculation resulted in (a) 2.28% (b) zero.

a) To find the proportion of components that exceed 10,200 kilograms per square centimeter in tensile strength, we need to find the area to the right of 10,200 under the normal distribution curve. Using the z-score formula, we have:

z = (x - mu) / σ

z = (10,200 - 10,000) / 100

z = 2

Looking up the area to the right of z = 2 in a standard normal distribution table or using a calculator, we find this to be approximately 0.0228. Therefore, about 2.28% of the components exceed 10,200 kilograms per square centimeter in tensile strength.

b) To find the probability that a randomly chosen metal component has a tensile strength of fewer than 9,500 kilograms per square centimeter, we need to find the area to the left of 9,500 under the normal distribution curve. Using the z-score formula, we have:

z = (x - mu) / σ

z = (9,500 - 10,000) / 100

z = -5

Looking up the area to the left of z = -5 in a standard normal distribution table or using a calculator, we find this to be approximately 0.

Therefore, the probability that a randomly chosen metal component has a tensile strength of fewer than 9,500 kilograms per square centimeter is essentially 0.

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