what is the sentence

The depth of the submarine after 9 minutes will be -102 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression -210+ 12m represents a submarine that began at a depth of 210 feet below sea level and ascended at a rate of 12 feet per minute.

The depth of the submarine after 9 minutes will be calculated as:-

D =  -210+ 12m

D = -210 + ( 12 x 9 )

D = -210 + 108

D = -102 feet

Therefore, the submarine's depth will be -102 feet after 9 minutes.

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The possible dimensions of the rectangle will be 12 and 12√5.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the area of the rectangle is 144√5. The dimensions of the rectangle can be calculated by factorizing the given area as below:-

Area = 144√5

L x W = 12 x 12√5

So the dimensions will be L = 12 and W = 12√5.

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The cost per mile that Bill Novato had last year was $0.40.

As per the data given:

Last year, Bill Novato drove 38,986 miles.

Also he had the expenses as follows:

Gas: $7787. 25

Maintenance and miscellaneous: $318.80

Parking and tolls: $325.00

Tires: $300.00

Wash and wax: $75.00

insurance: $614.80

License, $74.90

Loan interest: $412.20

Depreciation: $5780.0

To find the cost per mile we just need to divide all the expenses Bill had on the car by the amount of miles he drove.

The total amount of expenses can be found by adding all the expenses together.

= 7787.25 + 318.8 + 325 + 300 + 75 + 614.8 + 74.9 + 412.2 + 5780

= 15687.95

The total expense of the car was $15687.95.

Dividing this value by the total amount of miles driven, we have:

[tex]$\frac{15687.95}{38986}=0.40239957933[/tex]

The cost was approximately $0.40 per mile.

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Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.

Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.

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Correct answer to the given question about Courtney's affordable car loan within her budget is option D. $27,425. 75.

To determine the maximum car loan that Courtney can afford, you need to calculate the total amount she will pay over 6 years and make sure it's less than the total amount she can afford to pay each month ($400) multiplied by the number of months (6 years x 12 months per year = 72 months).

First, calculate the total amount of interest she will pay over 6 years at 7.5% annual interest: $400 x 7.5% = $30

Next, calculate the monthly payment by dividing the annual interest amount by 12 months:$30 / 12 = $2.50

So, the monthly payment (not including the car loan amount) is $400 + $2.50 = $402.50.

Finally, you can calculate the maximum car loan amount by subtracting the monthly payment from the total amount she can afford to pay each month, and then dividing by the number of months:

$400 x 72 months = $28,800

$28,800 / $402.50 = 71.37

So, Courtney can afford a maximum car loan of $71,370.

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The height of the pyramid is 6 cm and the angle EBD is 36.87 degrees

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

AD = 8cm CD = 5cm CE = 10cm

Given that the apex E is directly over the centre, we have

Height (h^2) = CE^2 - AD^2

So, we have

h^2 = 10^2 - 8^2

This gives

h = 6

Here, we can use the definition of tangent which is represented as

tan(EBD) = h/AD

So, we have

tan(EBD) = 6/8

tan(EBD) = 0.75

Take the arctan of both sides

EBD = 36.87

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Answer:

y'(9) = -7/3.

Step-by-step explanation:

We start by differentiating the given equation with respect to x:

d/dx(√x + √y) = d/dx(10)

1/(2√x) + (1/2)y'(x)/√y = 0

Simplifying, we get:

y'(x) = -√y/√x

To find y'(9), we plug in x = 9 and y = y(9) = 49:

y'(9) = -√49/√9 = -7/3

Therefore, y'(9) = -7/3.

The least number of significant digits we can trust in the solution is 2.

The relative approximate error (RAE) of 0.004% gives us an indication of the precision of the solution at the end of an iteration, but it does not directly indicate the number of significant digits that can be trusted in the solution.

In general, the number of significant digits that can be trusted in a solution depends on several factors, such as the accuracy of the initial guess, the choice of method for finding the root, and the behavior of the function being evaluated.

As a rough estimate, it is common to assume that the number of significant digits in the solution is equal to the number of significant digits in the RAE, minus one.

In this case, the RAE is 0.004%, which has three significant digits, so the least number of significant digits we can trust in the solution would be

three - 1 = 2 significant digits

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If you start with 150 bacteria micrograms, the colony would have 1,343.61756 bacteria after 8 days.

We solve this problem using our understanding of the rules of calculating percentages. We have been given the condition that bacteria colonies increase by 73% after every 2 days.

So, starting with 150 bacteria,

after 2 days we'll be having

150+ (73% of 150) bacteria

i.e. 150 + (0.73×150)

=150 + 109.5

=259.5 bacteria

and after 4 days the no. will be,

259.5 + (0.73×259.5)

=259.5 + (189.435)

=448.935 bacteria

similarly after 6 days,

448.935 + (0.73×448.935)

=448.935 + (327.722)

=776.65755 bacteria

and finally after 8 days,

=776.65755 + (0.73×776.65755)

=776.65755 + 566.960012

=1,343.61756 bacteria

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The overall expected outcome for this game is $32.

Therefore the answer is $32.

The expected outcome for a game of chance can be calculated by multiplying the payoffs for each outcome by the probability of each outcome, and then summing these products.

For this game, the expected outcome would be calculated as follows:

Expected outcome

= (0.20 * $60) + (0.20 * $100) + (0.30 * $0)

= $12 + $20 + $0

= $32

So the overall expected outcome for this game is $32. This means that, on average, if you were to play this game many times, you could expect to win $32 each time. It's worth noting that expected outcome is just an average and does not guarantee a win, as the outcomes of each game are uncertain.

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Simplifying the expression (6x⁻²)²(0.5x)⁴  by using mathematical operators gave us 2.25

Simplification of expression is the process of rearranging an expression so that it becomes simpler to understand and evaluate. This is done by combining terms, factoring, canceling out like terms, and other methods.

In the given expression;

(6x⁻²)²(0.5x)⁴ can be simplified using law of exponents which will become;

(6x⁻²)²(0.5x)⁴ = (36/x⁴) (0.0625x⁴)

This can be further simplified as;

(36/x⁴) (0.0625x⁴) = 2.25

The simplification of the original expression gave us 2.25

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Minimum sample size to satisfy manufacturer requirements is 2401.

The sample size is defined as the number of observations used for determining the estimations of a given population. The size of the sample has been drawn from the population. The number of entities in a subset of a population is selected for analysis.

Given,

Margin of error m = 0.02

for Confidence interval = 95% , Z - value = 1.96

Sample size n = Z²p(1 – p)/m²

p is the proportion of population (generally taken as 0.5),

m is the margin of error.

n = (1.96)²× 0.5(1 - 0.5)/(0.02)²

n = (1.96)²× 0.5(0.5)/(0.02)²

n = 2401

Hence, 2401 is the smallest sample size.

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Answer:

A

Step-by-step explanation:

since the 2 triangles are similar then the ratios of corresponding sides are in proportion.

let h represent the height of the tree , then

[tex]\frac{h}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 )

h = 3 × 5 = 15

height of tree is 15 feet

Answer:ur mom

Step-by-step explanation:

30/60=x

x*20

Step-by-step explanation:

What a question.. expect a huge number as the answer

What we need to do is convert days into seconds, and then multiply that number by 20.

30 days

24 hours in 1 day

60 minutes in 1 hour

60 seconds in 1 minute.

So what we do is multiple these 4 numbers

[tex]60 \times 60 \times 24 \times 30 = 2592000[/tex]

There are 2,592,000 seconds in 30 days.

Now we take that number and multiply it by 20 coins

[tex]2592000 \times 20 = 51840000 \: coins[/tex]

The lateral surface area of the cylinder would be 157.78π.

        LSA = 2πr(h + r)                               .... Eq { 1 }

       dV = πr² dh

       For complete cylinder -

       ∫dV = πr² ∫dh

       V - 0 =  πr² [h - 0]

       V = πr²h                                           .... Eq { 2 }

Given is a cylinder with a height of 11.2 cm and radius of 4.9 cm.

We can write the lateral surface area of a cylinder as -

LSA = 2πr(h + r)  

LSA = 2π x 4.9 x (11.2 + 4.9)

LSA = 2π x 78.89

LSA = 157.78π

Therefore, the lateral surface area of the cylinder would be 157.78π.

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The store pays $842.00 for the crystal sculpture and marks the price up by 29%,  then the amount of the markup is $243.98.

What is the arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

we have given,

The store pays $842.00 for the crystal sculpture and marks the price up by 29%,

so, the amount of the mark-up can be calculated as follows:

$842.00 * 29% = $842.00 * 0.29 = $243.98

Therefore, the amount of the markup is $243.98.

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Correct question:

A store pays $842.00 for a crystal sculpture and mark the price by 29%. What is the amount of the mark-up?

The store pays $842.00 for the crystal sculpture and marks the price up by 29%,  then the amount of the markup is $243.98.

A subfield of mathematics known as arithmetic operations deals with the study and manipulation of numbers, which are essential to all other subfields of mathematics. Basic operations like addition, subtraction, multiplication, and division are included in it.

The four mathematical operations are functions that take input values, or numbers, as inputs and turn one number into another. They are: multiplication, division, addition, and subtraction.

According to contemporary mathematicians, the Riemann Hypothesis is possibly the most significant open problem in all of mathematics. One million dollars will be awarded to the person who can solve it, which is one of the seven Millennium Prize Problems.

we have given,

The store pays $842.00 for the crystal sculpture and marks the price up by 29%,

so, the amount of the mark-up can be calculated as follows:

[tex]842.00 \times 29% \\= $ 842.00 \times 0.29 \\= $243.98[/tex]

Therefore, the amount of the markup is $243.98.

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Correct question:

A store pays $842.00 for a crystal sculpture and mark the price by 29%. What is the amount of the mark-up?

The height of Eiffel Tower is found as 1054.12 feet approximately.

We can use the cosine trigonometric ratio here to find the height of Eiffel Tower.

Given that:

Mai is 80 feet away from the tower.

She is looking up the tower's top at an angle of 85.66 degrees.

To find:

The height of Tower

Using the right-angled triangle's cosine ratio from angle of elevation:

Refer to the diagram attached below.

Assuming height of Mai is negligible in comparison to height of Eiffel tower, we have triangle ABC as right angled triangle.

Using cosine of angle C (since we're given base length and length of perpendicular is needed which is height of tower), we get:

[tex]\begin{aligned}& \tan (C)=\frac{A B}{B C} \\& \tan \left(85.66^{\circ}\right)=\frac{h}{80} \\& h=\tan \left(85.66^{\circ}\right) \times 80 \\& h \approx 13.1765 \times 80 \\& h \approx 1054.12 \text { feet }\end{aligned}[/tex]

Therefore, the height of the Eiffel tower is found to be 1054.12 feet approximately.

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The area of one rectangle is 21 square units.

Let's label the vertices of the large square as A, B, C, and D, with A in the top left corner and going clockwise. Let E be the center of the large square and also the center of the small square. Let F, G, H, and I be the midpoints of the sides AB, BC, CD, and DA, respectively, so that each of the four rectangles has two adjacent sides that are also sides of the large square.

Then, the side length of each rectangle is the same as the side length of the small square, which is 3. The height of each rectangle is the distance between two adjacent sides of the large square, which is 7. Therefore, the area of each rectangle is:

Area = base × height = 3 × 7 = 21 squared unit

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Answer:

602 .6

Step-by-step explanation:

∴14,400=160b

⇒b=90m

902m=45m

2πr=2π×45≈282.6m

320m+282.6m=602.6m

Answer:

x > -2

Step-by-step explanation:

x + 3 > -1 - x

x + x + 3 > -1 - x + x

2x + 3 > -1

2x + 3 - 3 > -1 - 3

2x > -4

2x/2 > -4/2

x > -2

Answer: A and C

Step-by-step explanation:

Abs. val is distance from 0, and 100 and -100 are both the same distance from 0, so x=100 and x=-100.

The graph is attached, the type of line is dashed straight lines

Part B the point (-4, 6) is not a solution

information gotten from the question include

y > 2x + 3

y is less than negative 3 over 2 times x minus 4

the statement is written as

y < -3/2 x - 4

Part B

The point (-4, 6) is not included in the solution

plugging in x = -4 into the equation

y < -3/2 (-4) - 4

y < 6 - 4

y < 2 not a solution

y > 2 (-2) + 3

y > -4 + 3

y > -4

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16,000 people are expected to attend this year's events, according to the exponential smoothing method.

Below is a forecast utilizing the exponential smoothing method.

Forecasting with exponential smoothing is done using the formula below.

Ft+1 = Ft + α (At – Ft ) 

Find the forecasting for this year using the formula Ft+1 = Forecasting Value of the Upcoming Year =?

Ft = Forecasting Value of the Previous Year = 15,000= Predicted Attendance for the Previous Year

At = Actual Value of the Previous Year = 20,000 

Smoothing Constant (which lies between 0 and 1) =0.2 =α

F(last year) + α (A(last year) – F(last year) )=F (This year)

= 15000 + 0.2 (20000 – 15000)

= 15000 + 0.2 (5000)

= 15000 + 1000

= 16000

F (This year) = The anticipated attendance for this year is 16000.

According to the exponential smoothing method, 16,000 people are expected to attend this year's events.

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The volume of the sphere is 1437.3 cm³.

A sphere is a geometric shape with a perfectly round shape composed of an infinity of circles that have the same radius and center of the circle. Literally "ball" comes from the Greek word "globe" or "ball". Then in English the ball is called "sphere".

Properties of the Sphere

To find the volume of the sphere we use formula:

V=4/3. πr³

To calculate the sphere volume above with r=7cm

V=4/3. πr³

V=4/3.(22/7). 7³

V=1437.3 cm³

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Answer:

Below

Step-by-step explanation:

8 is the greatest common factor of 40 and 56....so factor it out to get

8 ( 5r-7)