Lesson 4 multiplication pattern
70 x 500 =

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:  6a3b3

Step-by-step explanation:

Reformatting the input:

Changes made to your input should not affect the solution:

(1): "0.6" was replaced by "(6/10)".

STEP 1:

Equation at the end of step 1

       6

 0-(((——•(a2))•b)•(0-(2•5ab2)))

      10

STEP 2:

           3

Simplify   —

           5

Equation at the end of step 2:

         3

 0 -  (((— • a2) • b) • ( -2•5ab2))

         5

STEP 3:

Equation at the end of step 3

        3a2

 0 -  ((——— • b) • ( -2•5ab2))

         5

STEP 4:

Multiplying exponential expressions :

4.1    a2 multiplied by a1 = a(2 + 1) = a3

Multiplying exponential expressions :

4.2    b1 multiplied by b2 = b(1 + 2) = b3

Canceling Out:

4.3      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step 4:

 0 -  -6a3b3

STEP 5:

Final result :

 6a3b3

a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

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

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

-5 or 5 i think

Step-by-step explanation:

Answer:

D.  btw plzzzzz give me brainliest

The distance of the satellite from station A is approximately 47 miles

The satellite is approximately 911 miles above ground

Let the distance from station A to the satellite be a and the distance from the station B to the satellite be a + 48

Using trigonometry

tan 87 degrees = height of the satellite above the ground, h / a

tan 87 degrees = h / a

h = a * tan 87

while

tan 84 degrees = h / a + 48

h = (a + 48) tan 84

substituting for h

a * tan 87 = (a + 48) tan 84

a (tan 87 - tan 84) = 48 tan 84

a (9.567) = 48 tan 84

a = 48 tan 84 / 9.567

a = 47.436

The distance of the satellite from station A is approximately 47 miles

The height above ground

h = a * tan 87

h = 47.436 * tan 87

h = 910.857 miles

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Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

Evaluating the function from the given graph, g(-9) = 1.

To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.

To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.

The graph shows that when x = -9, the corresponding y-value is 1.

Therefore, g(-9) = 1.

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Answer:

Step-by-step explanation:

1 1/2 cup of sugar is needed for a full batch

To make 2/3 of a batch sugar is needed:

The​ person's expectation if two of the envelopes contain ​$ 5 checks and two of the envelopes contain ​$ 35 checks is $5.

In the given question,

A person randomly selects one of four envelopes.

Each envelope contains a check that the person gets to keep.​

However, before the person can select an​ envelope, he or she must pay ​$15 to play.

We have to determine the​ person's expectation if two of the envelopes contain ​$5 checks and two of the envelopes contain ​$35 checks.

As we know that when the person have to select envelope then they have to pay $15.

Total number of envelop = 4

From the 4 envelop 2 have $5 each and 2 have $35 each.

So the probability of getting envelop of $5 = 2/4 = 1/2

Probability of getting envelop of $35 = 2/4 = 1/2

Let x be the amount a person gets after selecting the envelop.

So E(x) = $5×1/2 + $35×1/2

Taking 1/2 common on both side

E(x) = 1/2 ($5+$35)

E(x) = 1/2×$40

E(x) = $20

But he have to pay $15 before selecting the envelop.

So required expectation = $20−$15 = $5

Hence, the​ person's expectation if two of the envelopes contain ​$ 5 checks and two of the envelopes contain ​$ 35 checks is $5.

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The retailer starts making money after approximately 2 days. The correct answer is option 4: 2 days. To determine the point at which the retailer starts making money, we need to find the value of x when the revenue (R(x)) exceeds the cost (C(x)).

Given the revenue function R(x) = 2x^3 + 11x^2 - 23x - 14 and the cost function C(x) = x^2 + 11x + 28, we can set up the following inequality:

R(x) > C(x)

Substituting the given functions into the inequality, we have:

2x^3 + 11x^2 - 23x - 14 > x^2 + 11x + 28

Simplifying the equation, we get:

2x^3 + 10x^2 - 34x - 42 > 0

Now, to find the point at which the retailer starts making money, we need to solve the inequality. This can be done by factoring, graphing, or using numerical methods.

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Answer: The Answer is option one, 3

Step-by-step explanation:

I took the test

The miners elevator is deeper than that of the equipment.

Speed of the equipment elevator is been given as  4 feet per second and Speed of the miners elevator = 15 feet per second.

Time of descent of the equipment elevator = (30 + 14)  = 44 seconds

   Then,   distance  can be calculated as (speed x time) which equals to  = 4 x 44 = - 176 ft            

but  distance of the miners elevator after 14 seconds is:

speed = (15 x 17)    = 225

therefore,   distance = - 225 feet

Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 225 feet (-225 feet) below the surface.

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Answer:

2d +18

Step-by-step explanation:

use distributive property:

a(b+c)

= ab+ac

The Question above is incomplete.

Complete Question

Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour

Answer:

six-fourths of an hour

Step-by-step explanation:

Let her entire room be equal to 1

From the above question

1/2 of her bedroom = 3/4 of an hour

1(Entire bedroom) = x hour

Cross Multiply

1/2 × x = 3/4 × 1

x = 3/4 / 1/2

x = 3/4 ÷ 1/2

x = 3/4 × 2/1

x = 6/4 hour

Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.

Answer:

We can use the given formula to calculate the decibel level D when the intensity level I is 63,096 times Io:

D = 10log(I/lo)

Where Io is the reference intensity level and is typically taken to be the threshold of hearing, which is 10^−12 watts/m^2.

So, substituting the values, we get:

D = 10log(63,096*Io/Io) = 10log(63,096)

Using a calculator, we find:

D ≈ 47.1 dB

Rounding this to the nearest whole number, we get:

The decibel level is 47 dB when I is 63,096 times Io.

I hope this helps mate.

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

\(f^(-1)(2) = 6\), which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

2t-6

Step-by-step explanation:

Answer:

Hey! Your answer should be C. MOP ≈ DAB

Answer:

A

Step-by-step explanation:

Six hundred seventy-two thousandths < 0.8

Answer: $12x - $275 = p

Step-by-step explanation:

$12x < how much it cost per seat/ticket

$275< How much they paid to rent the place

p< The profit

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

1 milimiter

Step-by-step explanation:

that the answer

Answer:

12%

Step-by-step explanation:

Percentage discount

\( = \frac{discount}{original \: price} \times 100\% \\ = \frac{90 - 79.20}{90} \times 100\% \\ = 12\%\)

☆ Discount= original price -marked price

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Answer:

the answer is letter B for ur question

Answer:

A. 44,130

B. 44,100

C. 44,000

Step-by-step explanation:

1-4 round down to 0 do not change the desired place value| 5-9 round the desired place value up by one.

Tens (10) Hundreds (100) Thousands (1000)

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Answer:

30

Step-by-step explanation:

because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180

Answer:

0.03593

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 17,340

μ is the population mean = 15,000

σ is the population standard deviation = 1300

z score:

z = 17340 - 15000/1300

z =1.8

Probability value from Z-Table:

P(x<17340) = 0.96407

P(x >17340) = 1 - P(x<17340)

= 1 - 0.96407

= 0.03593

The probability that the life span of the monitor will be more than 17,340 hours is 0.03593

Answer:

7 orders per day

Step-by-step explanation:

28/4=7

Answer:

7

Step-by-step explanation:

divide 28 / 4  = orders per day