what move turns the first equation into the second equation

Answer:

370

Step-by-step explanation:

nearest ten would be 370

Answer:

370

Step-by-step explanation:

just round the 9 into a 10

if your looking for the square root of this rounded its 19.20 (sorry if that's not what you needed I was confused)

Answer:

113

Step-by-step explanation:

The area is π\(r^{2}\), and pi is about 3. r is d/2 which is 12/2=6.

6^2 is 36 and 36*3 = 108. 113 is the closest, so that is the best estimate.

Answer:

1) 16.8ft

2) 32.2ft

3) 50.9cm

4) 14.4m

(all answers rounded off to the nearest tenth)

Step-by-step explanation:

Please see attached pictures for the full solution.

The expression −(4b)(4b)(4b) using positive exponents is -(4b)³

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

−(4b)(4b)(4b)

Express properly

So, we have

−(4b) * (4b) * (4b)

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of positive exponents, we have

−(4b) * (4b) * (4b) = -(4b)³

So, the solution is -(4b)³

Read more about expressions at

brainly.com/question/15775046

#SPJ1

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

Read more on isosceles triangle here: brainly.com/question/19238666

#SPJ1

To be 95% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, approximately 60 beers must be sampled.

We have,

The formula for sample size calculation in a confidence interval for a population mean:

n = (Z x σ / E)²

Where:

n is the sample size

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

σ is the population standard deviation

E is the maximum error or margin of error, which is half of the desired interval (0.1 degrees in this case)

Given:

Population standard deviation (σ) = 0.41 degrees

Maximum error (E) = 0.1 degrees

Substituting the values into the formula:

n = (1.96 x 0.41 / 0.1)²

n = 7.718²

n ≈ 59.59

And,

Rounding

N = 60

Therefore,

To be 95% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, approximately 60 beers must be sampled.

Learn more about z-score here:

https://brainly.com/question/15016913

#SPJ1

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

To learn more on vectors: https://brainly.com/question/31900604

#SPJ1

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

Sin 30 = 5/x

Sin 30 = 1/2

x = 10

The length of the side x is 10.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

The length of side x can be calculated using the trigonometric identities.

We know that,

Sin x = Perpendicular / Hypotenuse

Sin 30 = 5 / x

1/2 = 5/x

Multiply 2 on both sides.

1= 10/x

x = 10

Thus,

The length of the side x is 10.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

Answer:

Step-by-step explanation:

Hi there!

Please see the attached picture.

Hope it helps!

The coordinates of the image of vertex F after a reflection across the line y=-x is (3,-1)

From the question, the coordinates of the vertex F are:

F = (1,3)

When reflected across the line y = -x, the coordinates become

F' =  (3,-1)

Hence, the coordinates of the image of vertex F after a reflection across the line y=-x is (3,-1)

Read more about reflection at:

https://brainly.com/question/4289712

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

To know more about Length .

https://brainly.com/question/30582409

#SPJ8

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

https://brainly.com/question/34063927

#SPJ11

Answer: Parallel

Step-by-step explanation:

2/3 and -2/3 are parallel because they are the same number. However, one is in the negatives while the other is in the positives. They will never run into each other, which means parallel.

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

More can be learned about the interquartile range at brainly.com/question/12323764

#SPJ1

Answer:

the last one

Step-by-step explanation:

there is no rhythm

The parabola \(y = √(x - 4)\) opens upward.

The parabola y = √(x - 4) represents the square root function of x minus 4. To determine the direction in which the parabola opens, we examine the behavior of the square root function.

The square root function (√x) returns non-negative values for non-negative inputs. Since the expression inside the square root, (x - 4), must be non-negative for real solutions, we have x - 4 ≥ 0. Solving this inequality, we find x ≥ 4.

This means that the parabola is defined for x values greater than or equal to 4. As we increase x from 4, the value of √(x - 4) will also increase. Therefore, the graph of the parabola opens upward.

The parabola \(y = √(x - 4)\) opens upward.

For more such questions on parabola

https://brainly.com/question/29635857

#SPJ8

The percent of the bags of chips weigh less than 176 grams is b 16%

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

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

Read mroe about z-scores at

brainly.com/question/25638875

#SPJ1

Answer:

B . 10.50

Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50

Answer:

18 oz

Step-by-step explanation:

Choco Chip Cookies (15 oz): \(\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}\)

Choco Chip Cookies (18 oz): \(\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}\)

So, the 18oz package is the better buy by about \(\$0.005\)

To complete the conversion, the following will be gotten:

12880 m

Using conversion technique,

8 mi / 1 × 1.61 k / 1 mi × 1000m / 1k

we have to cancel out similar units in the numerator and denominator.

Therefore,

8 mi / 1 × 1.61 k / 1 mi × 1000m / 1k

8 / 1 × 1.61  / 1  × 1000m / 1 = 12.88 / 1 × 1000m

Hence,

12.88 / 1 × 1000m = 12880 m

learn more on conversion here: https://brainly.com/question/16887207

#SPJ1

1) Gathering the data

400 feet ----- base of a launch pad

rocket is launched vertically

Speed: 2000 ft per second

A) Angle of elevation of the rocket after 3 seconds?

Let's visualize that

Considering that V= 200 ft/second

200ft ---------- 1 second

x --------------- 3

x= 600 ft

Angle of elevation tan (θ), so with that info let's find the angle with arctang(θ)

B)

200 ----------- 1

y ----------------10

y=2000 ft

3) So the angles are: A) 56.30º after 3 seconds and B) 78.69º after 10 seconds

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

-x + 3y + (-3z+15) = 0

-x + 3y -3z + 15 = 0

Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ I=(50)(0.06)(2)\implies I=6\)

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

For such more question on fraction

https://brainly.com/question/78672

#SPJ8

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

Read more about algebra here:

https://brainly.com/question/4344214

#SPJ1

The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

Learn more on Pythagorean theorem here: https://brainly.com/question/25958868

#SPJ1