Simplify 6r · s · 4rt. this is the question

Answer:

Quadrant ||

Step-by-step explanation:

Look at the png below it may help you.

It takes the object 15 seconds to travel the entire length of the path.

Let's denote the length of the path as "L" and the time it takes for the object to travel the entire length of the path as "t".

We are given that the object travels 1/20 of the length of the path in 3/4 seconds.

This means that its speed is:

(1/20) L ÷ (3/4) s

= (1/20) L × (4/3) s⁻¹

= (1/15) L s⁻¹

Now, we can use the formula:

speed = distance ÷ time

to find the time it takes for the object to travel the entire length of the path:

(1/15) L s⁻¹ = L ÷ t

Solving for "t", we get:

t = (15/1) s = 15 s

Therefore, it takes the object 15 seconds to travel the entire length of the path.

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Answer:

The y intercept is at (0, 4)

Step-by-step explanation:

The y-intercept happens when the curve reaches an x-coordinate of zero.  Because this is a quadratic expression, we know that it is a proper parabolic function, and will have a single y-intercept:

\(y = 6x^2 - 10x + 4\\y = 6(0)^2 - 10(0) + 4\\y = 4\)

So the y intercept for this function is at (0, 4)

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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Answer:

b=2a/h

Step-by-step explanation:

Answer:

\(\mathbf{ \int^2_0 \dfrac{x^2}{4}. dx = \dfrac{2}{3}}\)

Step-by-step explanation:

The volume of right pyramid whose base is a square is expressed by the formula:

\(V = \int^h_o \dfrac{L^2 *y^2}{h^2}. dy \ or \ V = \int^h_o \dfrac{L^2 *x^2}{h^2}. dx\)

Given that:

height h = 2; &

side (l) = 1

Then;

\(V = \int^2_0 \dfrac{(1)^2 *x^2}{(2)^2}. dx\)

\(V = \int^2_0 \dfrac{x^2}{4}. dx\)

\(V =\dfrac{1}{4} \Big [ \dfrac{x^3}{3} \Big ] ^2_0\)

\(V =\dfrac{1}{4} \Big [ \dfrac{(2)^3}{3} -0\Big ]\)

\(V =\dfrac{1}{4} \Big [ \dfrac{8}{3} -0\Big ]\)

\(\mathbf{V = \dfrac{2}{3}}\)

Answer:

x = 8 ± \(\sqrt{10}\)

Step-by-step explanation:

x² - 16x + 54 = 0 ( subtract 54 from both sides )

x² - 16x = - 54

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 54 + 64

(x - 8)² = 10 ( take the square root of both sides )

x - 8 = ± \(\sqrt{10}\) ( add 8 to both sides )

x = 8 ± \(\sqrt{10}\)

then

x = 8 - \(\sqrt{10}\) , x = 8 + \(\sqrt{10}\)

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

(4,0) & (9,5)

Step-by-step explanation:

Where the equations cross are the solutions!

Hope this Helps! :)
Happy Studies

The quantity that tells us what fraction of the variation in the responses is explained by the straight-line tie between the response and explanatory variables is the square of the correlation coefficient. Correct option is D.

The correlation coefficient, denoted by r, is a measure of the strength and direction of the linear relationship between two variables.

The value of r ranges between -1 and +1, where a value of +1 indicates a perfect positive linear relationship, a value of -1 indicates a perfect negative linear relationship, and a value of 0 indicates no linear relationship between the variables.

The square of the correlation coefficient, r^2, is also known as the coefficient of determination. It represents the proportion of the total variation in the response variable that is explained by the linear relationship with the explanatory variable.

For example, if r^2 is 0.64, it means that 64% of the variation in the response variable can be explained by the linear relationship with the explanatory variable, while the remaining 36% is due to other factors or sources of variation.

In summary, the square of the correlation coefficient is a useful quantity to assess the strength and significance of the linear relationship between two variables and to estimate the proportion of the variation in the response variable that is explained by the explanatory variable.

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Answer:

30

Step-by-step explanation:

(n+8)=2(7+8)=2(15)=30

Answer:

30

Step-by-step explanation:

The money was invested for 9.5 years.

Interest is the amount of money earned or the amount of money that has to be paid when a certain amount of money is invested or a certain amount of money is borrowed.

The money invested is $1400.

The money received after a certain period of time is $1700

The rate of interest is 2.25%.

The time period has to be determined.

The formula that has to be used to determine the time period is as follows:

A = P [ 1 + RT/100]

1700 = 1400 [ 1 + (2.25 * T/100) ]

1700 = 1400 + ( 1400 * 2.25 * T) / 100

300 = 1400 * 2.25 *T / 100

30000 = 1400 * 2.25 * T

T = 30000  / ( 1400 *2.25)

T = 30000 * 100 / (1400 * 225)

T = 200/21

T = 9.5 years.

So, the time period of the investment is 9.5 years.

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Answer:

Step-by-step explanation:

The equation is poorly written and I cannot unfortunately solve it.

Answer:

48 square feet

Step-by-step explanation:

A = length x width. (A =lw)

So, 8 x 6 = 48

Answer:

The answer is 39.2

Step-by-step explanation:

The first thing you want to do is multiply both numbers by them selves like this: 9x8 and 4x8. Then after you do that, add the sum of those equations and you have your answer. Think about it like this, for 8x4, all it is is just 8+8+8+8. If solving it that way is easier for you, go for it! Hope I could help!

Answer: 1,000,000

Step-by-step explanation: USA test prep

Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

I'm not sure how to answer this but try to put the "5's" in Fraction form as 5/1 and divide them with 15/2. Which would be 3/2

Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

Both Pitchers

Step-by-step explanation:

First, we determine how many of each pitcher it would take to fill the 300 liter and 180 liter containers.

300÷15=20 of the 15 liter pitcher

300÷20=15 of the 20 liter pitcher

Similarly

180÷15=12 of the 15 liter pitcher.

180÷20=9 of the 20 liter pitcher.

The two pitchers gives a whole number when their volumes divide the volumes of the containers.

Therefore, the two pitchers exactly fill the containers without milk being left over.

Answer: $1.182

Step-by-step explanation: 3.546 divided by 3

Answer:

$1,182

Step-by-step explanation:

I just took the total of $3546 and divided the total by the three grade levels so 3 and I got the answer 3,546. But honestly i'm not sure if it's right lol, so if it's incorrect let me know and I'll work into it more.

Like fractions are fractions with the same denominator.EX - \(\frac{2}{5}\)   &\(\frac{4}{5}\).Unlike fractions are fractions with different denominators. EX-\(\frac{3}{4}\)&\(\frac{5}{7}\).

An element of a whole is a fraction. The quantity is mathematically represented as a fraction, in which the numerator and denominator are split in half. Both are integers in a simple fraction. The numerator or the denominator of a complex fraction both contain a fraction.

These three categories are proper fractions, improper fractions, and mixed fractions. Fractions are expressions that have a numerator and a denominator. These two words are used to classify its types.

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\( \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}\)

\(\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17 =51 +61}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17= 112}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x = 129}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{x = \frac{129}{2}}\)

\(\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

\({\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}\)

2x - 17 = 51 + 61

\({\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}\)

\({\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}\)

2x = 112 + 17

2x = 129

\({\blue{x = {\pink{ \frac{129}{2} }}}}\)

Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft

Answer:

in a span of 30 years, the family would pay $40,410 in rent.

Step-by-step explanation:

you simply multiply $1,347 by 30!

(comment any questions)

Answer:

Step-by-step explanation:

160x12=1920

The scale read will be 123.28kg weight,f the elevator accelerates upward at a rate.

Given information:

W = 800 N

a = 5 m/s^2

The mass of the man is calculated as -

m = W / g

m = 800 / 9.8

m = 81.63 kg

When the man is standing in an elevator accelerating upwards, effective acceleration acting on him is -

a' = a + g

a' = 5 + 9.8

a' = 14.8 m/s^2

So the scale reading of the weight of the man is -

W' = m × a'

W' = 81.63 × 14.8

W' = 1208 N

W' = 123.28 kg wt

Hence, his weight on the scale is 1208 N.

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It should be noted that the power that the volunteers use to pushe the van is 200 watts.

From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.

It should be noted that power is calculated as:

Power = Force × Displacement / Time

Force = 1200 Newton

Displacement = 150 meters

Time = 15 minutes = 15 × 60 = 900 seconds.

Therefore, the power that the volunteers use to pushe the van is:

Power = Force × Displacement / Time

=(1200 × 150) / 900

= 200 Watt.

Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.

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