A contract was made to be completed in 40 days and 24 men were put to work. After 28 days, 11 more men were engaged and the work was completed just in time. if not extra men engaged, how many days would the work have taken.​

\(9+3(10 \div 2)-5^2\\\\=9+3(5)-25\\\\=-16+15\\\\=-1\)

The graph of function is shown in image.

We have to given that;

The Function is,

f (x) = ∛ (x + 1)

Now, We can find the domain and range as;

Since, We know that the set of all inputs of the function is called Domain of set.

Hence, Domain of function is,

D = (- ∞,∞)

And, Range is,

R = (- ∞,∞)

Here, In the function there is no inflection point in present.

And The end behavior of the function y =∛ (x + 1) is as x approaches negative infinity, y approaches negative infinity, and as x approaches positive infinity, y approaches positive infinity.

Thus, The graph of function is shown in image.

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In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

y = x + 3

Step-by-step explanation:

given line in slope/intercept form:

y = x -1/2

slope of the perpendicular line = 1

equation of the line

y - 2 = x + 1

y = x + 3

Answer:

y=-x+1

Step-by-step explanation:

since the line is perpendicular to 2y=2x-1, this means that its slope with be the opposite reciprocal of the line 2y=2x-1 's slope.

first, we should find the slope of the line 2y=2x-1:

2y=2x-1

y=x-1/2

therefore, the slope of 2y=2x-1 is 1.

the opposite reciprocal of 1 is -1.

so far, we have this:

y=-x+b

to find b (the y-intercept) we can plug the point (-1,2) into the equation we have so far and solve for b.

y=-x+b

2=-(-1)+b

2=1+b

b=1

so, the equation of the line that passes through (-1,2) and is perpendicular to 2y=2x-1 is:

y=-x+b

number one take the second

Answer:

the new perimeter will be 1/2 of the old perimeter

Step-by-step explanation:

I think its that one

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer:

Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.

100 POINTS AND BRAINLIEST

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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Answer:

772.22

Step-by-step explanation:

A=$700(1+0.0332)2(3). Simplify using the order of operations: A=$700(1.0165)6=$700(1.103174712)≈$772.22.

The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

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The probability that a number greater than 4 is rolled is 1/3

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.

Probability = sample space / total outcome

sample space here is 5 and 6 since these are the numbers greater than 4 Ina six sided die

The total outcome is 6, because there are six numbers in the die

Probability = 2/6 = 1/3

Therefore the probability of rolling a number greater than 4 is 1/3

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A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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f(x) and g(x) are closed under subtraction because when subtracted, the result is also a polynomial.

Option B is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

f(x) = a(0) + a(1)x + a(2)x² + ......... + a(n)\(x^n\)

g(x) = b(0) + b(1)x + b(2)x² + .......... + b(n)\(x^n\)

Now,

f(x) - g(x)

=  a(0) + a(1)x + a(2)x² + ......... + a(n)\(x^n\) -  b(0) - b(1)x - b(2)x² - .......... - b(n)\(x^n\)

= (a(0) - b(0)) + (a(1) - b(1))x + (a(2) - b(2))x² + ........... + (a(n) - b(n))\(x^n\)

This is also a polynomial.

Thus,

f(x) and g(x) are closed under subtraction.

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Let's begin by identifying key information given to us:

The computer department purchased 9 servers at $26,99

Answer:

Hello, Your answer would be 35 (Fraction 1 over 35)

Hope's this helped.

Step-by-step explanation:

Answer:

3/4 miles longer

Step-by-step explanation:

its 1 3/4 the other is only 1. so answer is 3/4

Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)

Calculate Principal Amount, solve for P. P = A / (1 + rt)

Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)

Calculate rate of interest in percent. ...

Calculate time, solve for t

Step-by-step explanation:

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:Greg has read more pages because 3/4 is bigger then 2/3

Step-by-step explanation:

Answer:

==========================

Identities we will use:

===========================

Given expression:

Factorize it by completing the square and setting the difference of squares:

Answer:

B) 24

Step-by-step explanation:

Those are alternate interior angle which mean they are congruent or equal to each other

2x=48 divide

48÷2=24

Answer:

B) 24

step by step:

2x = 48 ( two straight lines are parallel forming and the internal stagger angle is equal)

Answer:

Step-by-step explanation:

should be both line GJ and JK as well as line HK and JK

Answer:

The answer is 90 degrees

Answer:

125°

Step-by-step explanation:

Both angles are equal because alternative interior angles are always equal. So,

\(1 + 62x = - 1 + 63x\)

\( = > 63x - 62x = 1 + 1\)

\( = > x = 2\)

Putting the value of x ,

\(1 + (62 \times 2) = 1 + 124 = 125\)

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.