14) The quotient of a number plus 3 and 5 is no
greater than 7.

Answer:

3.95%

Step-by-step explanation:

The computation of the APY is shown below:

As we know that

A = P(1 + rate)^n

where,

A = full and Final amount (Principal + Interest )

r = rate of interest

n = time

Now

Let us assume that P = $100.

Now placing the values,

A = $100 × (1 + (3.88% ÷ 365)^365

= $100 × (1 + 0.000106301 )^365

= $100 ×  (1.000106301 )^365

= $100 × 1.039560407

= $103.9560407

Now the annual percentage yield is

= Amount - principal

= $103.9560407 - $100

= 3.95%

2) gof= -5x²+5, option a is correct

4) gof=x³+6 for the given functions

A function from a set X to a set Y allocates one element of Y to each element of X.

The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were initially the idealization of how a variable quantity depended on another quantity. The position of a planet, for example, is a function of time. Historically, the notion was developed with the infinitesimal calculus at the end of the 17th century, and until the 19th century, the functions that were analyzed were differentiable.

Given,

2) f(x)=5x²-4, g(x)=1-x

gof=g(f(x))

=1-(5x²-4)

=1-5x²+4

=5-5x²

=5(1-x²)

Therefore, option a is correct.

4) Given,

f(x)=x+1

g(x)=x³+5

fog= f(g(x)

=g(x)+1

=x³+5+1

=x³+6

Therefore, fog=x³+6

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Answer:

In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!

Coffee shops per capita in city is 7235.294118

What is per capita?

The Latin phrase "per capita" means "by head." In statistics, the term "per capita" is sometimes used in place of "per person" to denote the average per person.

Main Body:

total population of city = 246000

Total coffee shops = 34

Per capita shops for population can be calculated by dividing total population by total shops.

calculatiing,

Per capita shops = total population/ total shops

                            = 246000/34

                            = 7235.294118

Hence number of coffee shops per capita is 7235.294118

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Answer:

T=.25k+.97t

This is because you 25 cents of gas is multiplied by k, which leaves the other section of the equation.

The line with slope m that contains the point (x1, y1) can be described by the equation

y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.

Let x represent the number of days since the ship left port and y represent the number of gallons of water.

Two points on the line are (8,3240) and (1, 3555).

m =  

3555 − 3240

1 − 8

 =  

315

−7

 = −45

y − y1 = m(x − x1) Point-slope form.

y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)

y − 3555 = −45(60 − 1) Substitute for x.

y − 3555 = −2655 Simplify the right side.

y = 900 Solve for y.

900 gallons of water will be left after 60 days.

Hope this helped! (I didn't do it sooner cause I just did the quiz lol)

The equation of the function, in point-slope form, is given by:

\(y - 3555 = -45(x - 1)\)

The amount of water left in the ship after 60 days is of 900 cubic units.

A line, in point-slope form, is represented by the following equation:

\(y - y_0 = m(x - x_0)\)

In which:

We have two points: (1, 3555) and (8,3240).

\(m = \frac{3240 - 3555}{8 - 1} = -45\)

Then

\(y - y_0 = m(x - x_0)\)

\(y - 3555 = -45(x - 1)\)

The amount after 60 days is y when x = 60, thus:

\(y - 3555 = -45(60 - 1)\)

\(y = 900\)

The amount of water left in the ship after 60 days is of 900 cubic units.

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The output value of f( 7 ) in the function f(x) = x is 7.

A function is simply a relationship where one input is mapped to one output.

Each x-value can only have one y-value as an output value.

Given the data in the question;

To determine the output value of f( 7 ), replace all the occurrence of x with 7 in the function and simplify.

f( x ) = x

f( 7 ) = 7

Therefore, f( 7 ) = 7, this forms an ordered pair of (7,7).

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There will be approximately 0.05 liters of water left in the bowl after the cats drink their average daily amount of water.

To determine the amount of water left after the cats drink their average daily amount, we need to know the average daily water consumption per cat. Let's assume that each cat drinks 0.4 liters of water per day.

The total water consumption for the three cats would be 3 cats * 0.4 liters/cat = 1.2 liters.

Since the initial amount of water in the bowl is 1.25 liters, we can subtract the total water consumption from the initial amount to find the remaining water:

Remaining water = Initial amount - Total water consumption

Remaining water = 1.25 liters - 1.2 liters

Remaining water = 0.05 liters

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I don't know but these can be really difficult

good luck

Solving a system of equations we will see that Sam is 29 years old and Briian is 5 years old.

Let's define the variables that we will be using here.

S = Sam's age.

B = Brian's age

We can write a system of equations with the given information, it is:

S = 26 + B

S + 8 = 3*(B + 8)

To solve that system, we can replace the first equation into the second one, we will get:

(26 + B) + 8 = 3*(B + 8)

B + 34 = 3B + 24

34 -24 = 3B - B

10 = 2B

10/2 = B = 5

And:

S = B + 26 = 5 + 26 = 29

These are their ages.

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Answer:

In picture

Step-by-step explanation:

Brainliest please~Thank you

Answer: 1.25 and 1.33

Step-by-step explanation:

question 3:

both sides of 24 became sides that measure 30.

24 times x = 30

therefore x, the scale factor, is 1.25

question 4:

3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)

15 times x = 20

20 divided by 15 is 1.33 repeating, so 4/3

If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.

Answer:

possibility is 1 in 6

Step-by-step explanation:

combinations of 2 coins are

5/10 , 5/20 , 5/50 → 3 possibles

10/20 , 10/50 → 2 possibles

20/50 → 1 possible

there are 6 possible combinations of the 2 coins

the only possible combination for 25 cents is 5/20

thus the possibilty of 2 coins summing to 25 cents is 1 in 6

Answer:

24

Step-by-step explanation:

4*1.5=6

6*4=24

Answer:

24

Step-by-step explanation:

4*1.5=6*4=24

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

Step-by-step explanation:

Grove City = 45,032

Franklin = 41,064

Franklin < Grove City

5 thousands > 1 thousand

The percent markup of a department, if they sell 300 shirts at a cost of $9 each is 50%

According to the question, we learn that a department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. This means :

The selling price of 300 shirts = 300 × $9

The selling price of 300 shirts = $2700

Selling price > cost price i.e., 2700 > 1800

when selling price is greater than cost price it means department store made a profit.

Profit = selling price - cost price

Profit = 2700 - 1800 = $900

Profit percentage = profit/ cost price × 100

Profit % =\(\frac{900}{1800} \times 100\)

Profit % = 50%

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\(\bull\)Total number of seats in theatre = 4500

\(\bull\)Total number of seats left vacant = 3105

\(\longrightarrow\)Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant

\(\longrightarrow\)Number of seats occupied

\(\quad\)= 4500 - 3105

\(\longrightarrow\) 1395

\(\\\)

Now,

\(\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} \)

\(\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} \)

\(\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} \)

\(\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} \)

\(\longrightarrow\)Thus , 31 % of seats in the theater were filled by the 6th graders on the trip

Answer:

1/2x + 18 = 11 - 3x

Step-by-step explanation:

x = -2

The equation that can be used to determine the reference angle, r, if θ = 7π/12 is option (b) r = π - θ.

A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we need to subtract the angle from either π/2 or π (depending on which quadrant the angle is in).
In this case, 7π/12 is in the second quadrant (between π/2 and π). Therefore, we subtract 7π/12 from π to get the reference angle:

r = π - θ
r = π - 7π/12
r = (12π/12) - (7π/12)
r = 5π/12

So the reference angle, r, for θ = 7π/12 is 5π/12.
Note that option (a) r = θ is incorrect because this would give the same angle as θ, not the reference angle. Option (c) r = θ - π is incorrect because it would give a negative angle, which is not an acute angle. Option (d) r = 2π - θ is incorrect because it would give an angle in the fourth quadrant, which is not the reference angle for an angle in the second quadrant.

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Option B is correct, Vincent will be able to buy the sneakers, while David will not be able to.

Because the shoe cost after including sales tax is

6% of 86$ is 5.16$

so, 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so, 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

A sales tax is a tax paid to a governing body for the income of certain items and services. Typically, legal guidelines permit the seller to gather funds for the tax from the customer at the factor of purchase. While a tax on goods or services is paid to a governing body immediately by means of a patron, it also includes called a use tax. frequently legal guidelines offer for the exemption of positive goods or services from income and use tax, which includes food, schooling, and medicines. A fee-introduced tax (VAT) collected on goods and services is associated with a sales tax. See the contrast with income tax for key variations.

Traditional or retail income tax is levied at the sale of an amazing to its very last quit person and is charged whenever that item is sold retail. sales to corporations that later resell the products aren't charged the tax. A patron who isn't always an end-user is generally issued a "resale certificate" by way of the taxing authority and required to provide the certificate (or its identification variety) to a seller on the point of buy, at the side of an assertion that the object is for resale. The tax is otherwise charged on each item sold to clients without any such certificate and who are underneath the jurisdiction of the taxing authority.

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Answer:

y = \(\frac{1}{2}\) x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 5 ← is in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute the point (- 4, 2 ) into the partial equation

2 = \(\frac{1}{2}\) (- 4) + c = - 2 + c ( add 2 to both sides )

4 = c

y = \(\frac{1}{2}\) x + 4 ← equation of perpendicular line

The dimension of the box will be (40 inch × 40 inch × 10 inch).

How to determine the maximum and minimum values of an expression using differentiation?
Any given expression can have both minimum and maximum outcomes for any number in a real world scenario, which can be determined using differentiation; first order differentiation when equated to zero reveals the value that will solute to produce the maximum or minimum and then the upon differentiating the obtained expression again and then substituting the variable in acceptable positions, if the outcome is a positive number then the obtained number in first differentiation suggests a minimum value of the given expression.

Given, the volume of the box described = 4000 inch³
Let the dimension of the base of the box be = 'a' inch × 'a' inch = a² inch²
Therefore, height of the box = (4000 inch³)/(a² inch²) = (4000/a²) inch
Total surface area of the described box = S = a² + [4a×(4000/a²)]
= [a² + 16000/a] inch
For the limiting values of S, dS/da = 0 ⇒ d[a² + 16000/a]/da = 0
⇒ 2a - [16000/a²] = 0 ⇒ 2a = 16000/a² ⇒ a³ = 8000 ⇒ a = ∛8000 = 20
Therefore, the value of a is 20 inch.
Thus, height of the box = 4000/a² = 4000/400 = 10 inch
For S to have the minimum limited value, d²S/da² > 0 for a = 20 inch, which is satisfied by the available value of S.
∴ The minimal surface area = a² + 16000/a = 400 + (16000/400)
= 440 inch²
We are aware that the least amount of material will be needed to build the box when its overall surface area is the smallest.
Thus, to minimize the amount of material in consideration, the dimension of the box will be (40 inch × 40 inch × 10 inch).

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The sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.05 is 81,160.

It can be calculated by using the formula: `σ_p = √[p(1 - p)/n]`

Where:σ_p is the standard deviation of the sample proportion, p is the percentage of successes in the population, n is the sample size

First, we need to convert the given percentage to a decimal, which is:29% = 0.29

Next, we can substitute the values into the formula:0.05 = √[0.29(1 - 0.29)/n]

Squaring both sides, we get:0.0025 = 0.29(1 - 0.29)/n

Solving for n:

0.0025n = 0.29(1 - 0.29)

n = (0.29 × 0.71)/0.0025

n ≈ 81,160

Therefore, the sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.05 is approximately 81,160.

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a. According to the empirical rule,

for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean,

approximately 95% falls within two standard deviations of the mean,

and approximately 99.7% falls within three standard deviations of the mean.

In this case, the mean is 258.1 and the standard deviation is 68.1. So, three standard deviations from the mean would be:

258.1 - 3(68.1) = 53.8

and

258.1 + 3(68.1) = 462.4

Therefore, approximately 99.7% of women have platelet counts between 53.8 and 462.4.

b. To find the percentage of women with platelet counts between 190.0 and 326.2, we need to standardize these values using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For the lower bound of 190.0:

z = (190.0 - 258.1) / 68.1 = -1.001

For the upper bound of 326.2:

z = (326.2 - 258.1) / 68.1 = 1.001

Using a standard normal distribution table or calculator, we can find the area under the curve between -1.001 and 1.001, which represents the percentage of women with platelet counts between 190.0 and 326.2. This area is approximately 68.2%.

Therefore, approximately 68.2% of women have platelet counts between 190.0 and 326.2.

Concentric circles are coplanar circles that have the same A. center.

Concentric circles, a set of coplanar circles sharing the same center point, derive their name from the Latin word "concentricus," which translates to "having a common center."

Varied radii differentiate each concentric circle. If one circle has a smaller radius than another's, it is considered nested inside or simply, inside. Radius denotes the distance between the center point and edge of the circle perimeter.

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Options for this question include:

A. Center

B. Diameter

C. Circumference

D. Radius

The measure of length of the triangle is x = 6 cm

Given data ,

∆ABC~∆DEF , since ∆ABC and ∆DEF are similar triangles, their corresponding sides are proportional.

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Let's denote the length of DE as x.

Given:

Area of ∆ABC = 64 cm²

Area of ∆DEF = 9 cm²

AB = 16 cm

The ratio of the areas is:

(Area of ∆ABC) / (Area of ∆DEF) = 64 / 9

The ratio of the corresponding sides is:

AB / DE = 16 / x

(AB / DE)² = (Area of ∆ABC) / (Area of ∆DEF)

(16 / x)² = 64 / 9

Simplifying the equation:

256 / x² = 64 / 9

256 * 9 = 64 * x²

2304 = 64 * x²

Dividing by 64:

36 = x²

Taking the square root:

x = √36

x = 6

Hence , the length DE is equal to 6 cm.

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the answer is 10m deep after rising

Answer:

D

Step-by-step explanation:

It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.

The shape of this distribution is Unimodal symmetric.

Option D is the correct answer.

A histogram is a representation of the distribution of data with intervals.

We have,

In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.

This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.

A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.

Thus, the shape of this distribution is Unimodal symmetric.

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