143/333 as a decimal

Answer:

52 min

Step-by-step explanation:

★ Solution:

➣ \({\sf{3\:x\:10^{-5}\:x\:4\:x\:10^7\)

➣ \({\sf{(3\:x\:4)\:x\:(10^{-5+(-7)})\)

➣ \({\sf{12\:x\:10^2\)

➣ \({\sf{1.2\:x\:10^3\)

The required number of cup of milk required to make 87 cookies.

While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.

A recipe calls for of a cup of milk for 29 cookies.

It means we need 29 cookies for one cup of milk,

To find number of cup need to make 87 cookies.

Then,

29 cookies = one cup

one cookie = one cup/29

87 cookies = 87/29 cup of milk

3 cup of milk

Thus, there are 3 cup of milk required.

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Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

g tau .......................

From the box plot, the upper quartile is 45 minutes

75 % of other students represents the upper quartile of the distribution

If the student is slower than 75% of the time taken by other students, this means the student took more time than 45 minutes

Hence, the correct answer from the options is 46 minutes

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

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

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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The measure of the angle ∠ADC is 36°.

Given that a circle T, the inscribed angle ∠ABC = 72°, we need to find the measure of the angle ∠ADC,

So, according to the inscribed angle theorem,

2 ∠ABC = arc AC

arc AC = 144°

Now, since the whole circumference is 360°,

So,

arc ADC = 360° - arc AC

arc ADC = 216°

So,

∠ADC = 1/2 [arc ADC - arc AC]

∠ADC = 1/2 [216° - 144°]

∠ADC = 36°

Hence the measure of the angle ∠ADC is 36°.

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When the person reaches his terminal velocity, the air resistance on person is same as his weight. So the air resistance on Suzie is 650 N. So the option c is correct.

In the given question,

Suzie skydiver, who weighs 650 N, reaches terminal velocity of 80 km/h. We have to find the air resistance on Suzie.

When an object moves through the air, air resistance acts as a force. When a body is moving through the air, this force works in the opposite direction. A frictional force is applied to the moving body by air resistance. Air resistance causes a body's speed to slow down as it moves.

When the person reaches his terminal velocity, the air resistance on person is same as his weight.

The weight of Suzie is 650 N.

So the air resistance on Suzie is 650 N. So the option c is correct.

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The polynomial, f(x) = x² + 4·x - 1, has a value of -5 when x = -2

A polynomial consists of terms comprising of variables and numbers with positive integer indices with operations including additions, subtractions, multiplications.

The specified polynomial is f(x) = x² + 4·x - 1

The point at which the polynomial is evaluated is; x = -2

The value of the specified polynomial at x = -2 is therefore;

f(-2) = (2)² + 4 × (-2) - 1 = -5

The polynomial can also be evaluated by graphing polynomial and finding the point of intersection of the line x = -2 and the graph of the polynomial as follows;

The attached graph created with MS Excel, indicates that at the point x = -2 (represented by the point where the vertical line, x = -2, intersects the polynomial, x² + 4·x - 1) is the point where, f(x) = -5

The value of the polynomial, f(x) = x² + 4·x - 1, when x = -2 is -5.

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Answer:

I don't understand the question sorry

Answer:

it's the fourth answer

Step-by-step explanation:

(X-4) (X-4)

\(x^{2}\)-4x-4x+16

\(x^{2}\)-8x+16

The expression is x² + 8x + 16. The correct answer is a) x² + 8x + 16.

To multiply (x - 4)², we can use the concept of expanding a binomial squared. The formula for expanding a binomial squared is:

(a - b)² = a² - 2ab + b²

In this case, a = x and b = 4. Substituting these values into the formula, we have:

(x - 4)² = x² - 2(x)(4) + 4²

= x² - 8x + 16

Therefore, the correct option is a) x² + 8x + 16.

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The exponential function that represents the population r years after 1993. is Pₙ(t) = \(e^{7.17 t}\)

The graph of an exponential function is called an exponential curve. This particular exponential curve models exponential growth; that is, as time increases, so do the population of rabbits.The accelerating increase in the number of rabbits is typical of exponential growth situations. An explicit formula for this sequence is rₙ = 24(3.5)ⁿ for n ≥ 0. By representing the population as the function f with equation r = f(t) = 24(3.5)t, you can estimate the population r at any real

number of years t ≥ 0.

The initial population of rabbits in 1993 is given as Pₙ(0) = 2600

so the population of rabbits in exponential form can be written as Pₙ(t) =2600.\(e^{rt}\)

Taking logs on both sides

logPₙ(t)=rt * log(2600)

logPₙ(t)=2.1 * t * 3.414

logPₙ(t)=7.17 t

Pₙ(t) = \(e^{7.17 t}\)

Pₙ(t) = \(e^{7.17 t}\)

So, The exponential function that represents the population r years after 1993. is Pₙ(t) = \(e^{7.17 t}\)

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The equation of the relationship is f(200) = 0.75 * 200

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

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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Answer:

-(2/3) + (2/3)i

Step-by-step explanation:

( -4 - 4i) / 6i

multply by i/i

(-4i - 4i^2) / 6i^2

since i^2 = -1

(-4i + 4) / -6

(4 - 4i) / -6

Reduce fraction

-(2/3) + (2/3)i

Answer:

B) \(-\sqrt{64}\)

Step-by-step explanation:

A rational number, can be expressed as a fraction: \(\frac{a}{b}\) where a and b are both integers.

The square root of 64, can be simplified to 8, since 8 * 8 = 64.

So the expression: \(-\sqrt{64} = -8\), and 8 is a rational number, since it can be expressed as: \(\frac{8}{1}\)

Answer:

Please attach a photo to this so I can better answer your question

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

By applying direct proportion, the amount of money that these group of friends would pay to buy 18 ice creams is: A. 45 soles.

A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

In order to determine the amount of money that these group of friends would pay to buy 18 ice creams based on an offer of 2 ice creams at 5 soles, we would set up a direct proportion equation as follows:

2 ice creams = 5 soles

18 ice creams = x soles

Cross-multiplying, we have:

2x = 18 × 5

2x = 90

x = 90/2

x = 45 soles.

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Complete Question:

A group of friends wants to take advantage of the following offer.

Observe. After seeing the offer, they decide to buy 18 ice creams.

How much will they pay for all these ice creams?

A. 45 soles.

B. 20 soles.

C. 16 soles.

D. 10 soles.

By taking a quotient between correspondent side lengths, we will see that the scale factor of the dilation applied to the quadrilateral is S = 4.

The scale factor of the dilation is given by the quotient between the length of one of the sides of the dilated figure and the length of the correspondent side of the original figure.

Here the original figure is the smaller quadrilateral, and the dilated figure is the larger one

If we select the top side, the length on the dilated figure is 72 inches, and the length of that side on the original figure is 18 inches, then the scale factor of the dilation is given by:

S = 72in/18in = 4

The scale factor of the dilation is 4.

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Answer:

1/6

Step-by-step explanation:

There’s 6 sides on a die

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

Answer: (C) $2,518.59.

Step-by-step explanation:

To find the amount of money you will have in the account after 2 years, we can use the formula for the future value of an annuity:

FV = P * (((1 + r/n)^(nt) - 1) / (r/n))

where:

FV = the future value of the annuity

P = the monthly payment, which is $100

r = the annual interest rate, which is 4% expressed as a decimal (0.04)

n = the number of times the interest is compounded in a year, which is 12 (monthly)

t = the time the money is invested for, which is 2 years

Substituting the given values into the formula, we get:

FV = 100 * (((1 + 0.04/12)^(12*2) - 1) / (0.04/12))

FV = 100 * (((1.00333333333)^24 - 1) / (0.00333333333))

FV = 2,518.59 (rounded to the nearest cent)

Therefore, you will have $2,518.59 in the account after 2 years. Answer: (C) $2,518.59.

Answer:

(a) yes

(b) 104% profit

Step-by-step explanation:

250 apples for $22,500 (were they gold?)

Part 1:

50x$120=$6000

Part 2:

200 sold at $1000 per 5 apples=200/5x1000=$40,000

$40,000+$6000=$46,000

A profit of $23,500

23500/22500=1.044 or 104% profit