37.5 x 10 to the negative 6 in scientific notation?

Answer:

[tex]60t\text{ Liters}[/tex]

Step-by-step explanation:

We have been given that a bathtub is filling with water at a rate of 60 liters per minute. We are asked to find the water filled in the bathtub after t minutes.

To find the number of liters of water filled in tub after t minutes we will multiply rate of water filling by time.

[tex]\frac{60\text{ Liters}}{\text{Minute}}\times t\text{ minutes}[/tex]

[tex]60\text{ Liters}\times t[/tex]

[tex]60\times t\text{ Liters}[/tex]

[tex]60t\text{ Liters}[/tex]

Therefore, there were [tex]60t\text{ Liters}[/tex] of water in the bathtub after t minutes.

The graph of [tex]y = \sqrt{-2x[/tex] relates to its parent function as a result of (d) horizontal compression by a factor of 2, and a reflection across the y-axis

A function transformation involves changing the form or equation of a function to another through reflection, dilation, translation or rotation

The parent function is given as:

[tex]y = \sqrt x[/tex]

Compress the function horizontally by a factor of 2, using the following rule

[tex](x,y) \to (2x,y)[/tex]

So, we have:

[tex]y = \sqrt {2x[/tex]

Next, reflect the function over the y-axis, using the following rule

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]y = \sqrt {-2x[/tex]

Hence, the function transformation is (d)

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Answer:

The dowels are congruent, so they have the same length. If one is cut, the sum of the lengths of the two cut pieces will equal the length of the longer piece. If the pieces are to make a triangle, the sum of the lengths of the two cut pieces must be greater than the length of the third piece.

Step-by-step explanation:

Answer:

21 1/2

Step-by-step explanation:

Answer:

A. Elijah’s prediction is exact because 180 divided by 3 = 60.

Step-by-step explanation:

Answer:

bb

Step-by-step explanation:

The sum of the geometric series with a1 = 7, r = 2, and n = 14 is -327661.

The question is asking for the sum of a geometric series. In mathematics, the sum (S) of a geometric series is determined using the formula S = a1 * (1 - r^n) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.

In the provided geometric series, a1 = 7, r = 2, and n = 14. Substituting these values into the formula gives us S = 7 * (1 - 2^14) / (1 - 2). After performing the calculations, the sum of the geometric series is -327661.

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The sum of the first 14 terms of the geometric series with the first term (a1) = 7, common ratio (r) = 2, is 114,691.

Given the first term of the geometric series (a1) = 7, the common ratio (r) = 2, and the number of terms (n) = 14, we would like to find the sum of this series.  Using the formula for the sum of a geometric series, S = a1 * (1 - r^n) / (1 - r), substituting the given values, we get:

S = 7 * (1 - 2^14) / (1 - 2)

This simplifies to S = 7 * ( -16383) / -1, which results in S = 114,691. So, the sum of the first 14 terms of this geometric series is 114,691.

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Answer:

Jillian is not correct

Jillian has summed up the possible number of codes for each digit instead of multiplying it

Step-by-step explanation:

The lock has a code that consists of 3 number

It is given that the number in the lock code can be used between [tex]0[/tex] to [tex]39[/tex]

Thus, out of total [tex]40[/tex] set of numbers (i.e [tex]0-39[/tex]), the numbers can be repeated.

This means for all three code numbers the opportunity of choosing a number is same  i.e. between  [tex]0-39[/tex]

Now, the first digit of the code can be any number between  [tex]0-39[/tex]

Like wise the second and third  digit of the code can be any number between  [tex]0-39[/tex]

Thus. the possible number of codes with repetition allowed are

[tex]40 * 40* 40\\64000[/tex]

Hence, Jillian is not correct

Jillian has summed up the possible number of codes for each digit instead of multiplying it

Answer:

No, Jillian is not correct. According to the fundamental counting principle, the total number of possible codes would be (40)(40)(40) = 64,000. Jillian multiplied by 3 instead of multiplying the number of possibilities for each digit.

Step-by-step explanation:

Answer:

measure of angle E equals 20 degrees, measure of angle D equals 20 degrees

Final answer:

The algebraic equation that represents the relationship between the number of chairs, c, and the number of desks, d, in an office, where the number of chairs is five more than twice the number of desks, is c = 2d + 5.

Explanation:

The student's question pertains to creating an algebraic equation based on a given word problem describing the relationship between the number of chairs (c) and desks (d) in an office. The problem states that 'the number of chairs, c, is equal to five more than twice the number of desks, d'.

To formulate the equation that illustrates this relationship, we apply the information provided:

In this question, first we have to see how many feets are in 1 yard .

And there are 3 feets in 1 yard.

So in 3 yards, there are 9 feets

Therefore we will get

[tex] \frac{1}{6}*3 yards= \frac{1}{6} * 9 feet = 1.5 feet [/tex]

Therefore the answer of the given question is 1.5 feet.

Final answer:

To find the equivalent feet for 1/6 of 3 yards, multiply 1/6 by 3 feet per yard to get 1.5 feet.

Explanation:

1/6 of 3 yards=_____feet

Step 1: 1 yard is equal to 3 feet.

Step 2: To find the equivalent feet for 1/6 of 3 yards, calculate 1/6 x 3 = 0.5 x 3 = 1.5 feet.

Answer:

C. x=4

Step-by-step explanation:

A semicircle, which is half of a full circle, consists of half the total amount of radians in a full circle. Since a full circle has 2π radians, a semicircle contains π radians. Therefore, the correct answer is b.π.

To answer your question, let's review the structure of a circle.It is divided by its radius into 360 degrees or by its diameter into a full rotation of 2π radians. Therefore, a semicircle, which is half of a circle, must consist of half the total amount of radians in a full circle.

In a full circle, there are 2π radians. Hence, in a semicircle, which is exactly half of the full circle, there would be 2π/2. This simplifies to π radians.

So, the correct answer to your question 'How many radians are in a semicircle?' is b.π.

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The value of the expression 4.05 / 1.5 using the division property will be 2.7.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

4.05 and 1.5

Then the division of the numbers 4.05 and 1.5 will be given by putting a division sign between them. Then we have

⇒ 4.05 / 1.5

⇒ 2.7

The value of the expression 4.05 / 1.5 using the division property will be 2.7.

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Final answer:

The result of dividing 4.05 by 1.5 is 2.7.

Explanation:

The value of 4.05 divided by 1.5 can be calculated by simply performing the division.

When you divide 4.05 by 1.5, you get 2.7.

This is because 4.05 is equivalent to 405 tenths, and when you divide 405 by 15 (since 1.5 is the same as 15 tenths), you end up with 27, or 2.7 when you adjust for the decimal placement.

Answer: TRUE

Step-by-step explanation:

Answer:

that would be a reflection across the y axis resulting in a -x

Step-by-step explanation:

Sherri will pay approximately $30.69 in interest on her credit card debt of $1,050.25 with an 18.5% annual interest rate, assuming she makes payments of $400 per month and the interest compounds monthly.

To calculate how much interest Sherri will pay on her credit card debt, we need to know how the interest compounds. Typically, credit card interest is compounded daily, but since we do not have the compound frequency, we'll use a simplified approach to estimate the interest assuming the interest is compounded monthly.

The annual interest rate is 18.5%, which translates to a monthly rate of 18.5%/12 = 1.54%. Since Sherri can pay $400 a month, we can calculate the time it will take for her to pay off the principal without considering interest. This gives us $1,050.25 / $400 < 3 months.

Since the debt would be paid off in less than three months, we can estimate the interest for each month and sum it up:

Adding up these interest payments gives us approximately:
$16.17 + $10.26 + $4.26 = $30.69 in interest.

Please note, this is an estimation that assumes a linear payment model. Actual interest charges could be higher due to daily compounding.

A disadvantage of withdrawing more than you have in your account is you will be charged an overdraft fee.

An overdraft fee can be described as the fee your bank charges you when you make a withdrawal from your account beyond what you have in it.

An overdraft fee is one of the disadvantages of withdrawing more money than you have in your account..

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The exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.

To calculate the exact volume of an oblique cylinder using Cavalieri's Principle, follow these steps:

1. Consider a right cylinder with the same base and height as the oblique cylinder. The volume of the right cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

2. Since the oblique cylinder and the right cylinder have the same base and height, their volumes are equal according to Cavalieri's Principle.

3. The formula for the volume of a right cylinder can be applied to the oblique cylinder, giving the volume as V = πr^2h.

4. Substituting the values of the radius (r = 10 meters) and height (h = 11 meters) into the formula gives V = π(10)^2(11) = 110π cubic meters.

5. Therefore, the exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.

Answer: Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.

Step-by-step explanation:

Since we have given that

Ari has 3 ounces of caramel for every 5 scoops of ice-cream .

Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice-cream.

According to Ari,

For every 5 scoops of ice-cream, he needs 3 ounces of caramel

For every 1 scoop of ice-cream, he needs

[tex]\frac{3}{5}\text{ ounces of caramel}[/tex]

For every 8 scoops of ice-cream, he needs

[tex]\frac{3}{5}\times 8=\frac{24}{5}=4.8\text{ ounces of caramel}[/tex]

So, Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.

Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.

To determine what Ari will think about Freeze Zone's milkshakes, we need to compare the ratio of caramel to ice cream in Ari's perfect milkshake to the ratio in Freeze Zone's milkshakes.

Ari's perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream, so the ratio is 3:5.

Freeze Zone's milkshakes have 6 ounces of caramel for every 8 scoops of ice cream, so the ratio is 6:8.

To simplify both ratios, we can divide the numbers by their greatest common divisor. The GCD of 3 and 5 is 1, so the simplified ratio for Ari's perfect milkshake is 3:5. The GCD of 6 and 8 is 2, so the simplified ratio for Freeze Zone's milkshakes is 3:4.

Since both ratios are the same, we can conclude that Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.

Final answer:

To find the difference between vectors u and v, subtract the components of v from the corresponding components of u, resulting in the vector A) <5, -5>.

Explanation:

The question involves finding the difference of two vectors u and v. To find the vector u - v, you subtract each corresponding component of vector v from vector u.

Thus, the vector u - v is A) <5, -5>.