Pls help me 52.991 rounded to the nearest tenths

Answer:

- At any time t, the population is:

P = 375t² + 3000t + 1000

- At time t = 3 days, the population is:

P = 13,375

Step-by-step explanation:

Given the rate of change of the population of bacteria as:

dP/dt = 3000/(1 + 0.25t)

we need to rewrite the given differential equation, and solve.

Rewriting, we have:

dP/3000 = (1 + 0.25t)dt

Integrating both sides, we have

P/3000 = t + (0.25/2)t² + C

P/3000 = t + 0.125t² + C

When t = 0, P = 1000

So,

1000/3000 = C

C = 1/3

Therefore, at any time t, the population is:

P/3000 = 0.125t² + t + 1/3

P = 375t² + 3000t + 1000

At time t = 3 days, the population is :

P = 375(3²) + 3000(3) + 1000

= 3375 + 9000 + 1000

P = 13,375

Answer:

\(y=-\sqrt{x+2}-1\)

Step-by-step explanation:

Hi there!

Please take a look at the attached image. This is the parent function of the radical function.

\(y=\sqrt{x}\)

This equation represents the transformations of the parent function:

\(y=a\sqrt{b(x-h)}+k\)

a dictates vertical stretch.

b dictates horizontal stretch.

h dictates horizontal translation.

k dictates vertical translation.

If we take a look at the given graph, we can tell that the following transformations have been applied:

- reflection across x-axis (a = -1)

- translation 2 units to the left (h = -2)

- translation 1 unit down (k = -1)

Therefore, the function that represents the graph is:

\(y=-\sqrt{x+2}-1\)

I hope this helps!

By SSS congruency criteria ΔABC ≅ ΔDEF

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

ΔDEF:  D(3, 1), E(6, -3), F(3, −5)

The lengths of the sides of ΔABC are

AB = √((0+4)² + (0+3)²) = √25 = 5

BC = √((2-0)² + (-3 - 0)²) = √13  

AC = √((2+4)² + (-3 +3)²) = √36 = 6

The lengths of the sides of ΔDEF are;

DE = √25=5

EF = √13

DF = √36 = 6

As,

AB= DE, BC = EF , AC= DF

So, By SSS congruency criteria ΔABC ≅ ΔDEF

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Answer:

Step-by-step explanation:

15% of 400

15/100*400

15*400/100

6000/100

60

therefore ur answer is 60

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\( \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer: 12340

Step-by-step explanation:

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Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

The container is indeed big enough to store 560 sugar cubes.

To determine if the container is big enough to store 560 sugar cubes, we need to calculate the volume of the container and compare it to the total volume occupied by the sugar cubes.

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

In this case, the dimensions of the container are:

Length (l) = 6 inches

Width (w) = 4 inches

Height (h) = 3 inches

Using the formula, the volume of the container is calculated as follows:

V = 6 inches * 4 inches * 3 inches

V = 72 cubic inches

Now, let's calculate the volume occupied by a single sugar cube:

The side length of a sugar cube is 0.5 inches, so the volume of a single sugar cube is:

V_cube = 0.5 inches * 0.5 inches * 0.5 inches

V_cube = 0.125 cubic inches

To determine the number of sugar cubes that can fit in the container, we divide the volume of the container by the volume of a single sugar cube:

Number of sugar cubes = V_container / V_cube

Number of sugar cubes = 72 cubic inches / 0.125 cubic inches

Number of sugar cubes = 576

Since the number of sugar cubes that can fit in the container is 576, which is greater than the required 560 sugar cubes, we can conclude that the container is indeed big enough to store 560 sugar cubes.

Therefore, the container can comfortably accommodate the desired quantity of sugar cubes while providing a tight seal to keep ants away.

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Therefore , the solution of the problem of probability comes out to be  

Probability = 0.25 or 25% that he will pass using this random option picking method.

Probability is the likelihood or potential for something to event.  For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.

Here,

Given : t the end of each week there is a 5 questions multiple choice test.

and

Has 4 options.

Probability that he will pass using this random option picking method.

=> Probability = Favourable events / Total no of outcomes

=>  Probability = 1 /4

=> Probability = 0.25 or 25%

Therefore , the solution of the problem of probability comes out to be  

Probability = 0.25 or 25% that he will pass using this random option picking method.

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Answer:

(-5,5)

Step-by-step explanation:  add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math  way

Answer:

Angle A and H are Alternate exterior angles and they are congruent.

Answer:

13 /20

Step-by-step explanation:

tou need to find LCM and do the process by your own

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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Under probability, the expected number of defective widgets from a batch of 150 widgets is 3.

Probability is the likely chance of an expected outcome occurring amid many possible events that can occur.

Probability may be 1 when it is very certain.  It is zero when it is uncertain.

Otherwise, the likelihood of an event occurring lies between 0 and 1, which yields a fractional value.

We represent probabilities as decimals, fractions, and percentages.

The known chance of producing defective widgets = 1/46

The sample size of a batch produced = 150

The expected number of defective widgets in the batch = 3.26 (150 x 1/46)

= 3

Thus, when 150 widgets are produced, under the established probability, we can expect 3 defective widgets.

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Your investment will be worth approximately $2908.13 after 5 years with simple interest 3.5% per year.

The simple interest can be expressed as;

A = P × (1 + rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

Principal P = $2,475

Elapsed time t 5 years

Interest rate r = 3.5%

Accrued amount A = ?

First, convert the rate from percent to decimal:

Rate r = 3.5%

Rate r = 3.5/100

Rate r = 0.035

Now, plug the values into the above formula and solve for the accrued amount A.

A = P × (1 + rt)

A = $2,475 × ( 1 + ( 0.035 × 5)  )

A = $2,475 × ( 1 + 0.175 )

A = $2,475 × ( 1.175 )

A = $2,908.13

Therefore, the accrued amount after 5 years is approximately $2,908.13.

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According to the Angle Addition Postulate, the measure of m∠ABD = 202°.

According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.

Given:

The angle measures:

m∠ABC=37°,

and m∠⁡C⁣B⁣D= 165⁢°.

So, according to the angle addition postulate;

m∠ABD = m∠ABC + m∠CBD

Substituting the values,

m∠ABD = 37° + 165⁢°

m∠ABD = 202°

Therefore, the angle measure of m∠ABD = 202°.

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Answer:

x = - 3 / 2 ( in decimal form = - 1.5)

Step-by-step explanation:

9(x - 1) - 8x = -3(x + 5)

left side: 9(x - 1) - 8x

Expand... 9x - 9 - 8x

             = (9x - 8x) - 9

             = 1x - 9 or x - 9

right side: -3(x + 5)

Expand... -3x - 15

combine :

x - 9 = -3x - 15

Add 9 to both sides to get x alone

x - 9 + 9 = -3x - 15 + 9

x = -3x - 15 + 9

x = -3x - 6

Add 3x to both sides

x + 3x  = -3x - 6 + 3x

simplified, 4x = -6

Now divided 4 from both sides

4x / 4 = -6 / 4

simplify, x = -6 / 4

You can reduce the fraction by dividing it by 2

(-6 / 2) / (4 / 2) = -3 / 2

Hope this helps, Let me know if you have any questions !

Have a nice day :)

Answer:

B. the weight of a dog and the amount of food it eats per day.

This is because dogs only eat around 1/3 of their body weight a day, hence the dogs weight having a positive comparison value to the weight of the food that it eats.

Hope this helps!

Answer: B

\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Answer:

a 270° rotation about point B'

Answer:

C is correct 270°

Step-by-step explanation:

yuh

Answer:

A) (0,0)  B)(1,1)  C) (0,1)  D) (1,0)

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

x=4 ; y=3

7×2 +6xy+6y

7×2+6(4)(3)+6(3)

14+72+18

104

3.1.1

Answer:

Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.

Double-Entry Accounting

When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.

3.1.2

Fixed Debit or Fixed debt:

A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.

Types of fixed debts:

Flexible Debit Card :

The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.

One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.

Any type of debit card is a flexible debit card

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Answer:

-16x+3y

Step-by-step explanation:

sum=add

(-6x + 9y)+(-10x – 6y)

Combine like terms

-6x+(-10x)

-16x

9y+(-6y)

3y

-16x+3y

Answer:

saurav

Step-by-step explanation:

1 dozen of pen is = 12.

12 = 180

7 = 390

Answer:15/2

Step-by-step explanation:

28/4 or 7

Well, I looked it up. Ain't gonna lie

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16