a store sells notebooks for 3 each and does not charge sales tax.if represent the number of notebook Adele buys and y represent the total cost of notebook she buys
​

SOLUTION:

=) (4a)² + 18 = 118

=) 16a + 18 = 118

=) 16a = 118 - 18

=) a = 100/16

=) a = 6.25

Answer:

2.5

Step-by-step explanation:

(4a)^2 + 18 = 118

16a^2 = 100

a^2 = 100/16

a^2 = 25/4

a = 5/2 = 2.5

Answer:

Number line

Plot (25)/(3) around where the number 8.3 would be plotted. Plot (42)/(3) where the number 14 would be plotted

Quadrants

(0,16) belongs on the y-axis, (2,-12) belongs in Quadrant IV, (-1,2) belongs in Quadrant II, (3,0) belongs on the x-axis, (36.7, 3.9) belongs in Quadrant I, (-(5)/(8),-5(1)/(3)) belongs in Quadrant III

Step-by-step explanation:

Number line

Step 1: Convert the fractions into decimals

(25)/(3)=8.3

(42)/(3)=14

Quadrants

Answer: A) Buddhism

Step-by-step explanation:

Answer:

Thee answer is A. Buddhism. Hope this helps!

Step-by-step explanation:

Answer:

b. y=2/5x-1

Step-by-step explanation:

the slope is just the opposite and then if you draw the line, then the y intercept is -1

After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840

a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)

b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)

c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)

d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)

e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)

g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)

h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)

i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)

j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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Answer:

1) Power of a Product Rule

2) Power Rule (or Power of a Power)

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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For the given quadratic function, we have that:

The x-intercepts of the function are the same as the zeros, that is, the values of x for which f(x) = 0.

For this problem, the function is defined as follows:

f(x) = -2x² - 4x.

Hence the x-intercepts are given as follows:

-2x² - 4x = 0

2x² + 4x = 0

2x(x + 2) = 0.

Hence:

The numeric value at x = -4 is calculated replacing each instance of x by -4, hence:

f(-4) = -2(-4)² - 4(-4) = -16.

We have to solve for x as follows:

-2x² - 4x = 2

2x² + 4x + 2 = 0

x² + 2x + 1 = 0

(x + 1)² = 0.

x = -1.

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Answer:

2x to the 5th power

Answer:

x + (5 - 2x)

Step-by-step explanation:

Answer:

A.) $10,400

Contribution every payday = $60

Pay periods in a year = 26

Step-by-step explanation:

Assume her salary, that is total cost = y

Percentage deduction 15% of total cost

biweekly paychecks = $60

Therefore, 15% of y = $60

(15/100)y = 60

15y = 6000

y = 400

Total value of contribution:

$400 × number of biweeks in a year

If number of weeks in a year = 52

No of bi-weeks = 52/2 = 26

$400 × 26 = $10400

Answer:

the correct answer is $9,750.00

got it right

Step-by-step explanation:

15 2/6 or 15 1/3 (simplest form) because 3x6+5=23/6 x 4/1 = 92/6 converted to mixed number is 15 1/3

Answer:

To calculate the current population of the town after 2 years, we first need to find the total number of months:

Total number of months = 2 years x 12 months/year = 24 months

Next, we can use the formula for compound interest to calculate the population after 24 months:

P = A(1 + r/100)^n

where:

P = final population

A = initial population (3000)

r = monthly growth rate (3.274%)

n = total number of months (24)

Plugging in the values, we get:

P = 3000(1 + 3.274/100)^24

P ≈ 4144

Therefore, the current population of the town is approximately 4144 people.

Step-by-step explanation:

Answer:

5x^3-2

Step-by-step explanation:

Two less than the product of 5 and the cube of a number.

The product of 5 and the cube of a number can be translated to look like 5x^3.

You then take 5x^3 and subtract 2 to get 5x^3-2.

Step-by-step explanation:

To solve this problem, we need to find the scale factor that will allow us to enlarge the 12" x 9" painting to fit the 24' x 16' wall.

First, we need to convert all the units to the same system. Let's convert the painting size to feet:

12 inches = 1 foot (since there are 12 inches in a foot)

9 inches = 0.75 feet (since 9/12 = 0.75)

So the size of the painting in feet is 1 foot by 0.75 feet.

Next, we can find the scale factor by dividing the size of the wall by the size of the painting:

Scale factor = (24 feet) / (1 foot) = 24

Scale factor = (16 feet) / (0.75 feet) = 21.33 (rounded to two decimal places)

We use the smaller of the two scale factors, which is 21.33, to ensure that the painting will fit within the dimensions of the wall.

Finally, we can find the size of the enlarged painting by multiplying the original size by the scale factor:

Width of enlarged painting = 1 foot x 21.33 = 21.33 feet

Height of enlarged painting = 0.75 feet x 21.33 = 15.99 feet

Therefore, the largest possible complete design that can be painted on the 24' x 16' wall is approximately 21.33 feet by 15.99 feet, using a scale factor of 21.33.

Answer:

the largest possible complete design that can be painted on the 24' x 16' wall is 21' x 15.75'

Step-by-step explanation:

Here, the double prime (double commas) ('') mean inches and the single prime(single comma) (') means foot.

So, the painting is (12" )(9") so it is 12 inches by 9 inches.

While the wall is (24')(16') so it is 24 feet by 16 feet.

We have to find the largest possible complete design that can be painted on the wall

Now, since 12 inches = 1 foot

And for the design to be complete, the design must fit on the wall

now, for every 12 inches we add to the height (the first part i.e 24)

We add 9 inches to the width (the 2nd part i.e. 16)

starting from one side,

we have,

(12 inch)(9 inch) = (1 feet)(9/12 feet)

(12 inch)x(9 inch) = (1 feet)x(3/4 feet)  (i)

where we get the 2nd term, 9/12 as follows,

Since,

\(12 \ inches = 1 foot\\so, \\1 \ inch = (1/12) feet\\and,\\9 \ inches = 9/12 \ feet\)

Now, 9/12 = 3/4

so, 9 inches = 3/4 feet

We have obtained the required ratio, we just now check how far this ratio can go until we exceed the limit of the wall, 24 feet by 16 feet,

so, for example,

Now, this means that when we increase the height by 12 inches = 1 foot,

we also have to increase the width by 3/4 feet = 9 inches

so, if we muliiply the height by 2, we also multiply the width by 2 to get,

(24 inch)x(18 inch) = (2 ft) x (3/2 ft)

now, (2 ft) x (3/2 ft) is smaller than (24 ft) x (16 ft),

Similarly, If we multiply the height by 24, we also have to multiply the width by 24, in which case we get,

24 ft by 24(3/4)ft

(24 ft) x (18 ft) which is greater than the allowed, (24 ft) x (16 ft) (i.e. 18 > 16)so this design cannot fit on the wall

(24 ft) x (18 ft) cannot be painted on the wall since the wall is smaller,

Trying 23, we get,

(23 ft) x (23(3/4) ft) = (23 ft) x (17.25 ft) which is still greater

so we try 22,

(22 ft) x (22(3/4) ft) = (22 ft) x (16.5 ft) which is Still greater

We try 21 to get,

(21 ft) x (21(3/4) ft) = (22 ft) x (15.75 ft) Which is smaller than the wall

So, the largest possible complete design that can be painted on a 24' x 16' wall is 22' x 15.75'

Doing this in another way,

1 inch = 1/12 feet

9 inches = 3/4 feet

We have to find the greatest possible ratio between the height and width of the painting that can be fitted on the wall,

the ratio is height/width = 12 inches/9 inches = 1 ft/(3/4 ft)

and this has to be the greatest ratio less than 24 ft/(16 ft)

If we multiply and divide the ratio by 21, we get,

\(21 \ ft/((21)(3/4\ ft))\)

which gives,

21 ft/ 15.75 ft

or in the other form, the painting is 21' x 15.75' < 24' x 16' (both 21' < 24' and 15,75' < 16')

But if we multiply by 22,

we get

22 ft /(22)(3/4) ft  

in the other form, the ratio is 22' x 16.5'

but since 16.5' is greater than 16',

the 22' x 16.5' design cannot be painted on the wall ( the wall has too little width 16' instead of 16.5')

So, the largest possible complete design that can be painted on the 24' x 16' wall is 21' x 15.75'

The probability that you will walk at least 2 dogs this week is 0.74

The probability that you will walk at most 2 dogs this week is 0.41

The probability that you will walk 3 dogs this week is 0.23

The probability that the number of dogs you will walk this week is not less than 5 is 0.18

The expected number of dogs you will walk this week is 2.83

The expected value of x is 11.29

The variance of dogs you will walk this week is 3.2811

The standard deviation of dogs you will walk this week is 1.8113

X: Random variable denoting how many dogs you walk this week.

Table attached at the end of solution

a) Probability that you will walk at least 2 dogs this week

\(P(x \geqslant 2) & =1-P(x < 2) \\\)

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [0.14 + 0.12]

= 1 - 0.26

\(P(x \geqslant 2) &\) = 0.74

b) What is the probability that you will walk at most 2 dogs this week

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

= 0.14 + 0.12 + 0.15

P(x < 2) = 0.41

c) Probability that you will walk 3 dogs this week

P(x = 3) = 0.23

d) Probability that the number of dogs you will walk this week is not less than 5

\(P(x \geqslant 5) &\) = P(x = 6) + P(x = 7) + P(x = 5)

= 0.08 + 0.01 + 0.09

= 0.09 + 0.09

= 0.18

e) Expected number of dogs you will want this week

F(x) = \(\sum_i p_i x_i\)

E(x) = 0 × 0.14 + 1 × 0.12 + 2 × 0.15 + 3 × 0.23 + 4 × 0.18 + 5 × 0.09 + 6 × 0.08 + 7 × 0.01

E(x) = 2.83

f) Expected value of \($x^2$\)

\(E\left(x^2\right) & =\sum_1 p_i x_i^2 \\\)

= 0 × 0.14 + 1 × 0.12 + 4 × 0.15 + 9 × 0.23 + 16 × 0.18 + 25 × 0.09 + 36 × 0.08 + 49 × 0.01

\(E\left(x^2\right) &\) = 11.29

g) Variance of dogs you will walk this week

\(V(x) & =E\left(x^2\right)-[E(x)]^2 \\\)

\(& =11.29-(2.83)^2 \\\)

= 3.2811

h) Standard deviation of dogs you will walk this week

SD (x) = \(\sqrt{3.2811} \\\)

= 1.8113

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You start a dog-walking business. Define X to be a random variable denoting how many dogs you walk

this week. The probability mass function (pmf), f(x), of X is defined as follows:

Table attached at end of the solution

(a) What is the probability that you will walk at least 2 dogs this week?

(b) What is the probability that you will walk at most 2 dogs this week?

(c) What is the probability that you will walk 3 dogs this week?

(d) What is the probability that the number of dogs you will walk this week not be less than 5 ?

(e) What is the expected number of dogs you will walk this week?

(f) What is the expected value of \($X^2$\) ?

(g) What is the variance of dogs you will walk this week?

(h) What is the standard deviation of dogs you will walk this week?

The value of the definite integral ∫(-1)¹ x¹⁰⁰ dx is 2/101.

To evaluate the integral S(-1)¹ x¹⁰⁰ dx, we can use the power rule of integration, which states that:

∫ \(x^n dx = (x^(n+1)) / (n+1) + C\), where C is the constant of integration.

Applying this formula, we get:

∫ x¹⁰⁰ dx = (x\(^(100+1)\)) / (100+1) + C

\(= (x^101) / 101 + C\)

To evaluate the definite integral from -1 to 1, we can substitute the limits of integration into the antiderivative and then subtract the result evaluated at the lower limit from the result evaluated at the upper limit:

∫(-1)¹ x¹⁰⁰ dx =\([(1^101)/101\) - \(((-1)^101)/101]\)

= (1/101) - (-1/101)

= 2/101

Therefore, the value of the definite integral ∫(-1)¹ x¹⁰⁰ dx is 2/101.

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Answer:

0.3 meters per second

Step-by-step explanation:

Divide 6.5 by 22.

The cone is composed of a half sphere and a triangular cone, the total volume would be 301.59 cubic centimeters.

This cone is composed of two shapes, these shapes are:

The volume of the cone can be calculated using the following formula:

V=1/3hπr²

V= 1/3 10 π4²

V= 167.55 cm

The volume of the sphere can be calculated using the following formula:

V = 4/3 π r³ /

V = 4/3 π 4³/ 2  

V = 268.08 / 2 = 134.04 cm

Total volume : 134.04 + 167.55 = 301.59 cubic centimeters

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Della was crying because she doesn't have enough money to brought the present for her husband Jim.

Basically, the O Henry's story of "The gift of Magi" has the central them as Love. In this story, he sets up a contrasted picture in life- love among the ruins- the acute poverty in the family and the sacrifice of the greatest possessions of the family.

In this stage he defines how their possession has helped Jim and Della, that's the hero and heroine to conquer poverty they were in.

Now, the reason behind Della's cry was she had only one dollar and eighty seven cents and with this small amount she could not buy a good present for her dear husband.

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Answer:

(-5, -2), (-6, -4), (-7, -6)

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation:

Answer

62

5.3

65

5.8

2.5

Step-by-step explanation:

FOr the first one we have the opposite and adjacent side, so we'll use TOA

let x= angle

tan(x)=4.7/2.5

x=61.99 or 62

2.) for this one we can just use pathagoryeous thereom

2.5²+4.7²=c²

28.34=c²

c=5.323

3.) For this one we know that the angles in a traingle must add to 180

let x= missing angle

25+90+x=180

x=65

4.) For this one we have the adjacent side but need the hypotonouse

we will therefore use CAH

cos(25)=5.3/x

5.3/(cos(25))=x

x=5.8

5.) For this one we will just use the pathagoryeous to solve for the missing side

a²+5.3²=5.8²

a²=6.107

a=2.5

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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A = Not sure

B= 12.0

Hope I helped

Answer:

Answer is 46.50

Step-by-step explanation:

I look everywhere and said it was this hehe

The answer of the product of the polynomials z^(2)(4z^(2)+3z-1) after simplifying is -4z^4 - 3z^3 + z².

The given problem is a multiplication of polynomials.

The polynomials can be multiplied using the distributive property of multiplication.

The distributive property states that for all real numbers a, b, and c:

a × (b + c) = a × b + a × c.

Given -z²(4z² + 3z - 1),

to find the product of this, we need to multiply each term in the first polynomial by each term in the second polynomial.

Using the distributive property, we get:

-z²(4z² + 3z - 1)

= -z²(4z²) -z²(3z) -z²(-1)

= -4z^4 - 3z^3 + z² or z² - 3z³ - 4z⁴

Hence, the product of the given polynomials is -4z^4 - 3z^3 + z².

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