need a quick answer please

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Math.ceil(5.5) evaluates to A. 6. This is because the ceil() method in the Math object returns the smallest integer greater than or equal to the given number.

In this case, the given number is 5.5, and the smallest integer greater than or equal to it is 6. It's important to note that the returned value is an integer, not a float or a string; hence, the answer is 6 rather than 6.0 or 5.0. This method is proper when you must round up a number to the nearest integer.
Math.ceil(5.5) evaluates a value by rounding it up to the nearest integer. In this case, the function rounds the given value, 5.5, to the closest integer that is greater than or equal to it.
The available options are:
A. 6
B. 6.0
C. 5.0
Now, let's apply the Math.ceil() function:
Math.ceil(5.5) = 6
So, the correct answer is A. 6.

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Answer:

A

Step-by-step explanation:

im not sure tho

Answer:

12.5 litres of Blue paint

Step-by-step explanation:

2+7+1=10

therefore;

10=64

2=??

cross-multiply

(2×64)÷10

answer= 12.4 liters or 12.5

Answer:

\(x=2\sqrt{5}\)

Step-by-step explanation:

If that is a square, then all sides are the same. Therefore, it's a \(\sqrt{10}\) by \(\sqrt{10}\) shape. We'll use Pythagorean Theorem to find the diagonal.

\(a^2+b^2=c^2\\\sqrt{10}^2+ \sqrt{10}^2=x^2\\10+10=x^2\\20=x^2\\\sqrt{20}=x\\\sqrt{4*5}=x\\ 2\sqrt{5}=x\)

Since it's not a fraction, there is no denominator to rationalize. Let me know if you have any other questions!

Step-by-step explanation:

In an AP, 2a2 = a1 + a3.

=> 2(x + 11) = (2x + 1) + (4x + 5)

=> 2x + 22 = 6x + 6

=> 4x = 16

=> x = 4.

Answer:

my educated guess would be B. i hope i dont get u the wrong answer

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

I am not sure but if u multiply 7x7 u get 49 and when u do 9x7 it gets u close to 65 that is my guess

it would be the last one bc it makes a little sense i guess

From 1976 until 1987, red M&Ms were removed from packets owing to a research associating the food dye used to color them to cancer.

Arithmetic is defined as working with numbers through addition, subtraction, multiplication, and division. Adding two and two to produce four is an example of arithmetic. Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. Arithmetic (derived from the Greek word arithmos, "number") relates to the fundamental components of number theory, arts of mensuration (measuring), and numerical computing (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

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I think it would be ef because they are across from each other.

Answer:

lineAF, CE, EF

Step-by-step explanation:

Every line except AB, because a line don't curve.

Hope u understood.

Please mark as brainliest

Thank You

Answer:

y=-3x + 32

Hope this

The time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes

Given,

Time taken by plain to fly from Los Angeles to New York = 6 hours

Speed of plain = 900 km/h

We have to determine the time taken by the plain if it flies at a speed of 800 km/h

Distance cover by plain = speed x time = 900 x 6

Distance cover by plain = 5400 kilometer

New time taken by plain = Distance cover by plain / New speed of plain

New time taken by plain = 5400 / 800

New time taken by plain = 6 hours 45 minutes

That is, the time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes

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The solution to the system of equations (2 - j3)x (4∠20०)y = 3∠30०          (4 j3)x – (2 j2)y = 6 is:

x = (-3/4) + (3/4)j2 - (3/4)j4

y = (12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)

We have the system of equations:

(2 - j3)x + (4∠20°)y = 3∠30°

(4j3)x – (2j2)y = 6

To solve for x and y, we can use the second equation to solve for one of the variables and substitute into the first equation.

Let's solve for x:

(4j3)x = 6 + (2j2)y

x = (6 + (2j2)y)/(4j3)

Now we substitute into the first equation:

(2 - j3)((6 + (2j2)y)/(4j3)) + (4∠20°)y = 3∠30°

Simplifying and multiplying by 4j3, we get:

(2 - j3)(6 + (2j2)y) + (4j3)(4∠20°)y = 12j3∠30°

Expanding and collecting like terms:

(12 + 4j6)y + (-6j3 - 2j2j3)y = 12j3∠30° - 12

Simplifying:

(12 + 4j6 - 6j3 + 2j5)y = 12j3∠30° - 12

Dividing by (12 + 4j6 - 6j3 + 2j5), we get:

y = (12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)

We can now use this value of y to solve for x using the equation we derived earlier:

x = (6 + (2j2)y)/(4j3)

x = (6 + (2j2)((12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)))/(4j3)

Simplifying:

x = (18j3∠30° - 18)/(12 + 4j6 - 6j3 + 2j5)

x = (3j∠30° - 3)/(2 + j2 - 3j + j5)

x = (3j∠30° - 3)/(3 + j3)

Multiplying numerator and denominator by the conjugate of the denominator:

x = (3j∠30° - 3)(3 - j3)/(9 + 3)

Simplifying:

x = (9j∠30° - 9j3∠30° - 9)/(12)

x = (-3/4) + (3/4)j2 - (3/4)j4

Therefore, the solution to the system of equations is:

x = (-3/4) + (3/4)j2 - (3/4)j4

y = (12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)

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The expression of the GCF of 8t^5, 12t^3 and 16t is 4t

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

8t^5, 12t^3 and 16t

Factorize each expression

So, we have the following representation

8t^5 = 2 * 2 * 2 * t^5

12t^3 = 2 * 2 * 3 * t^3

16t = 2 * 2 * 2 * 2 * t

Multiply the common factors

So, we have the following representation

GCF = 2 * 2 * t

Evaluate the products

GCF = 4t

Hence, the greatest common factor (GCF) is 4t

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Answer: 1.18 possibilities 2. 36 possibilities

Step-by-step explanation:

1. 1o, 1g, 1h, 2o, 2g, 2h, 3o, 3g, 3h, 4o, 4g, 4h, 5o, 5g, 5h, 6o, 6g, 6h

2. hw1 hw2 hw3 hw4 hw5 hw6, hg1 hg2 hg3 hg4 hg5 hg6, tw1 tw2 tw3 tw4 tw5 tw6, tg1 tg2 tg3 tg4 tg5 tg6, cw1 cw2 cw3 cw4 cw5 cw6, cg1 cg2 cg3 cg4 cg5 cg6

Answer:

Answer: C. Alternate Interior Angles

Step-by-step explanation:

The picture here shows a bunch of angles, and we can see that there is one line that goes through 2 of the lines shown. That line includes all 1-8 angles. Here, we can assume that we are dealing with a pair of parallel lines, and a transversal. The one line going through 2 of the lines shown would be the transversal, and the other 2 lines would be the pair of parallel lines. For the 2 lines that are parallel with each other, there are angles taht are inbetween them, and others that are not. Angles 2, 7, 3, 6 are between the 2 parallel lines, and meaning that they are interior angles. Angles 1, 8, 4, and 5 are not inbetween the 2 parallel lines, so they are called exterior angles. We are given a list of classifications. I will tell what each of them are. Corresponding angles are angles that can be seen on the same side of the transversal, and same position. For example, angles 1 and 3. Consecutive interior angles are angles that are within the 2 parallel lines. They are just right infront of eachother, and both interior angles add up to 180 degrees. Pretty cool. For example, angles 2 and 3 are Consecutive interior angles. Alternate interior angles are angles located between the 2 parallel lines. Instead of them being right infront of eachother like Consecutive interior angles are, they are to the opposite sides. An example, angles 3 and 7 are alternate interior angles. Lastly, but not least, Alternate exterior angles are angles not between the 2 parallel lines. Just like alternate interior angles, they are on the orher side of the transveral across. An example of exterior angles are, angles 1 and 5. On with the question! Question asks for angles 2 and 6. Since they are inbetween the 2 parallel lines, they are interior angles. Crossing out option D, because it talks about exterior angles. Corresponding angles also does not work, because angles 2 and 6 are not on the same side of the transversal(not infront of each other). Corresponding angles also usually include and interior and exterios angle. With said, we can mark option A wrong. Consecutive interior angles are also wrong, the 2 interior angles are not infront of eachother, and are on opposite sides of the transversal. Leading to C Alternate Interior Angles to be the answer, I hope this helps you! Enjoy your day today. ‍⬛‍⬛‍⬛

Step-by-step explanation:

Answer:

S=3

Step-by-step explanation:

first slove 11-3  following pemdas

you get 8 so what can you multiply by 8 to get 24

s will = 3

s=3

3×8=24

3(11-3)=24

There is a statistically significant difference between the sample mean and population mean, and this difference is likely due to the effect of the new reading technique

Here are the five steps:

Step 1: State the null and alternative hypotheses

Null hypothesis (H0): The new reading technique has no effect on reading comprehension.

Alternative hypothesis (Ha): The new reading technique increases reading comprehension.

Step 2: Determine the level of significance

Let's use a significance level of α=0.05, which means we want to have 5% chance of making Type I error - rejecting H0 when it is actually true.

Step 3: Identify the test statistic and its distribution

We will use a one-sample t-test because the population standard deviation is unknown, and the sample size is less than 30 (n=25).

The test statistic is t = (M - μ) / (s / √n), where M is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Under the null hypothesis, the test statistic follows a t-distribution with df = n-1 degrees of freedom.

Step 4: Calculate the test statistic and p-value

Population Mean (μ): 70

Sample Mean (M): 75

Sample Standard Deviation (s): 10 (given)

Sample Size (n): 25

t = (M - μ) / (s / √n) = (75 - 70) / (10 / √25) = 2.5

Using a t-table or calculator with df = 24, we find that the p-value is approximately 0.018.

Step 5: Make a decision and interpret results

Compare the p-value to the significance level: p-value < α, so we reject the null hypothesis.

This means that we have evidence to support the alternative hypothesis that the new reading technique increases reading comprehension.

In other words, there is a statistically significant difference between the sample mean and population mean, and this difference is likely due to the effect of the new reading technique.

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Answer:605 feet

Step-by-step explanation:

The second derivative of the given curve is obtained as follows:R"(t) = (-8sin(2t) i - 8cos(2t)j + 0k)(3) .

The curvature of the given curve is obtained as follows:curvature k(t) = (||R'(t)×R"(t)||)/ ||R'(t)||³Putting in the values of R'(t) and R"(t), we get:k(t) = ((16(cos²(2t) + sin²(2t)))^(1.5))/16 = 1

Given the curve R(t) = 2sin(2t) i + 2cos(2t) j + 4k, we need to find the following:(1) R'(t)(2) R"(t)(3) Curvature

The first derivative of the given curve is obtained by differentiating each component of the curve with respect to t.Using the formula of differentiation of sine and cosine functions, we get:

R'(t) = (d/dt)(2sin(2t) i + 2cos(2t) j + 4k) = (4cos(2t) i - 4sin(2t)j + 0k)

Therefore, R'(t) = 4cos(2t) i - 4sin(2t)j

The second derivative of the given curve is obtained by differentiating R'(t) with respect to t.

Similarly, we get:

R"(t) = (d/dt)(R'(t)) = (-8sin(2t) i - 8cos(2t)j + 0k)

Therefore, R"(t) = -8sin(2t) i - 8cos(2t)j

The curvature of a curve is defined as the rate at which its tangent rotates with respect to its arc length. It is given by the formula:

k(t) = (||R'(t)×R"(t)||)/ ||R'(t)||³

The magnitude of the cross product of R'(t) and R"(t) is given by:

||R'(t)×R"(t)|| = ||(4cos(2t) i - 4sin(2t)j)×(-8sin(2t) i - 8cos(2t)j)||= ||(32cos(2t) - 32sin(2t))k||= 32||(cos(2t) - sin(2t))k||= 32(√2)/2= 16√2

The magnitude of the first derivative is given by:||R'(t)|| = √(16cos²(2t) + 16sin²(2t))= 4

Therefore, the curvature of the given curve is:k(t) = (||R'(t)×R"(t)||)/ ||R'(t)||³= (16√2)/64= √2/4

Therefore, the main answer for the given problem is as follows:(1) R'(t) = 4cos(2t) i - 4sin(2t)j(2) R"(t) = -8sin(2t) i - 8cos(2t)j(3) The curvature of the given curve is k(t) = √2/4

The given problem is related to the first and second derivative of a curve and the calculation of its curvature. The solutions to the three parts of the problem are obtained by using the formulas of differentiation, cross product, and magnitude. The main answer is summarized in the final paragraph of the solution.

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Answer:

11/12

Step-by-step explanation:

The product of One-fourth times three and two-thirds will be 1 / 2.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,

Product =  ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )

Product = 6 / 12

Product = 1 / 2

Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.

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Answer:

03.97655 that will be there for answers

The roots of the equation are 9 + 3i and 9 - 3i in simplest a + bi form.

What is meant by roots?

A root is a value that satisfies an equation, for example, the solution of an equation when set equal to zero. The roots of an equation are often called solutions or zeros of the equation.

What is a equation?

An equation is a mathematical statement that shows that two expressions are equal. It usually consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

According to the given information

To find the roots of the equation x² - 18x + 90 = 0 in simplest a + bi form, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = -18, and c = 90.Plugging in these values, we get:

x = (18 ± √((-18)² - 4(1)(90))) / 2(1)

x = (18 ± √(324 - 360)) / 2

x = (18 ± √(-36)) / 2

The discriminant (-36) is negative, which means that the roots are complex conjugates. Therefore, we can simplify the expression as follows:

x = (18 ± 6i) / 2

x = 9 ± 3i

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Answer:

0.80

Step-by-step explanation:

I did the math 5 times

The total Area is then 160 square units.

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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Answer:

B. √16 × √6

C. √96

Step-by-step explanation:

4√6

4 can be written as a square root.

4 = √16

√16 × √6

The square roots are multiplied, they can be written under one whole square root.

√(16 × 6)

√96