Which of these scientific notations represents 5023?

A 5.023 x 10 to the 1st power
B 5.023 x 10 to the 2nd power
C 5.023 x 10 to the 3rd power
D 5.023 x 10 to the 4th power

Answer:

40%

Step-by-step explanation:

52 / 130 = 0.4

0.4 is 40%

Answer:

$65.475 ($65.48 rounded)

Step-by-step explanation:

The word "per" is usually a trigger-word for multiplication. So, we multiply.

\(14.55 * 4.5\)

Answer:

Y=2x+2

Step-by-step explanation:

The slope-intercept equation of a line :

y = m x + c

Here

m  =  slope  c = y

-intercept

Therefore, the required equation is:

y = 2 xc

Putting the point  

( 1 , 4 )

in it as it lies on line, we get:

4 = 2 + c

Therefore

c = 2

So

y = 2 x + 2

is the required equation.

When x = 3, ŷ equals 4,609. Therefore, the correct answer is (c) 4,609.

The question asks for the value of ŷ when x = 3, given the least squares regression equation. To find ŷ, we simply substitute x = 3 into the equation:

ŷ = 1,204 + 1,135(3)
ŷ = 1,204 + 3,405
ŷ = 4,609

Therefore, the answer is (c) 4,609.

OR

To find the value of ŷ given the least squares regression equation ŷ = 1,204 + 1,135x and x = 3, follow these steps:

1. Plug in the value of x into the equation: ŷ = 1,204 + 1,135(3)
2. Multiply the numbers: ŷ = 1,204 + 3,405
3. Add the numbers: ŷ = 4,609

So when x = 3, ŷ equals 4,609. Therefore, the correct answer is (c) 4,609.

Know more about an equation here:

https://brainly.com/question/29174899

#SPJ11

Answer:

324

Step-by-step explanation:

18 x 18 = 324

Answer:

324

Step by step explanation:

18² = 18 × 18

= 324

The correct statement regarding the box plot when a measure of 3 is added to each observation of the data-set is given as follows:

The plot will be translated 3 units to the right.

A box and whisker plots shows these five features from a data-set, listed as follows:

When a measure of 3 is added to each observation in the data-set, 3 is added to each of the features.

The interquartile range is given by the difference between the third quartile and the interquartile range of the data-set. As 3 is added to each quartile, the difference remains constant, thus the plot is only translated 3 units right.

More can be learned about box plots at https://brainly.com/question/12343132

#SPJ1

Answer:

57

Step-by-step explanation:

Answer:

9x^3+30

Step-by-step explanation:

Im not sure if you wanted to simplify because you werent specific but I simplified

7 seconds after inflation has begun, the volume of the balloon is increasing at a rate of approximately 2079.68 cubic inches per second.

The formula for the volume of a sphere is V = (4/3)πr^3. Since the radius of the spherical balloon is increasing at a constant rate of 1.5 inches per second, we can find the rate of change of the volume with respect to time by taking the derivative of the volume formula with respect to time:

dV/dt = 4πr^2(dr/dt)

At t = 7 seconds, we know that dr/dt = 1.5 inches per second, and we can find r by using the fact that the balloon is being inflated, so r = 1.5t = 1.5(7) = 10.5 inches. Substituting these values into the equation above, we get:

dV/dt = 4π(10.5)^2(1.5) = 2209.4π cubic inches per second

Therefore, the rate at which the volume of the balloon is increasing 7 seconds after inflation has begun is approximately 2209.4π cubic inches per second.

To find the rate at which the volume of the balloon is increasing 7 seconds after inflation has begun, we will use the given information and the formula for the volume of a sphere.

1. The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.

2. The radius of the balloon is increasing at a constant rate of 1.5 inches per second. This means that dr/dt = 1.5 inches per second (the rate of change of the radius with respect to time).

3. We need to find dV/dt, the rate of change of the volume with respect to time, at t = 7 seconds.

4. First, we need to find the radius of the balloon at t = 7 seconds. Since the radius is increasing at a rate of 1.5 inches per second, after 7 seconds, the radius will have increased by 1.5 * 7 = 10.5 inches.

5. Now we will differentiate the volume formula with respect to time: dV/dt = d/dt[(4/3)πr³]. Using the chain rule, we get dV/dt = (4πr²)(dr/dt).

6. We know the radius at t = 7 seconds is 10.5 inches and dr/dt = 1.5 inches per second. Plug these values into the equation: dV/dt = (4π(10.5)²)(1.5).

7. Calculate dV/dt: dV/dt ≈ 2079.68 cubic inches per second.

So, 7 seconds after inflation has begun, the volume of the balloon is increasing at a rate of approximately 2079.68 cubic inches per second.

Learn more about radius at: brainly.com/question/13449316

#SPJ11

The interest on a savings or loan at a particular rate for a period of time is calculated as

The solution is Option 4.

Roman numeral representing the least 3 digit number which is 100 is C

The Roman numeral for 100 = C

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the least 3 digit number be A

Now , the value of A = 100

where 100 is the lease 3 digit number

And , the Roman numeral for 100 is given by C

Therefore , the value of 100 in Roman Numeral is C

Hence , The Roman numeral representing the least 3 digit number which is 100 is C

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

-2x + 9 = 21

Step 1: subtract 9 from both sides.

-2x = 12

Step 2: divide both sides by -2.

X = -6

Answer:

97.6 cm³

Step-by-step explanation:

Volume of plastic object :

Volume of cylinder - volume of cone

From. The diagram. :

Radius, r = diameter /2 = 4/2

Volume of cylinder = pi*r²h

V = 22/7 * 2² * 8 = 100.53096 cm³

Volume of cone = 1/3*pi*r²h

V = 1/3 * 22/7 * 2² * 8

V = 2.9321531 cm³

(100.53096 - 2.9321531) cm³

= 97.598 cm³

= 97.6 cm³

The result of the integral is (10/5)sin^5(x) - (20/7)sin^7(x) + (10/9)sin^9(x) + c. To evaluate the integral ∫10cos^5(x)sin^4(x)dx, we can use a trigonometric identity and a substitution.

To simplify the integrand, we can use the trigonometric identity cos^2(x) = 1 - sin^2(x) and substitute u = sin(x).

Apply the trigonometric identity: cos^5(x) = (1 - sin^2(x))^2 * cos(x) = (1 - u^2)^2 * cos(x). Now we have the integrand as 10(1 - u^2)^2 * cos(x) * u^4.

Use the substitution: Let u = sin(x), then du = cos(x)dx. We can rewrite the integral as ∫10(1 - u^2)^2 * u^4 * du.

Expand the integrand: 10u^4 - 20u^6 + 10u^8.

Integrate each term: The integral of u^4 is u^5/5, the integral of u^6 is u^7/7, and the integral of u^8 is u^9/9.

Substitute back: Replace u with sin(x) in the antiderivative expression obtained in the previous step.

Add the constant of integration, c, to obtain the final result.

To learn more about trigonometric identity click here:

brainly.com/question/12537661

#SPJ11

Answer:

A. score

Step-by-step explanation:

The correct option is (a) "Total path length". It cannot be negative or zero. Velocity of an object can be negative. If it move in the opposite direction of motion, then its velocity is negative. Acceleration can be negative.

Answer:

C

Step-by-step explanation:

I just took the test

The equation that represents n; the number of pages Steph read on Monday is B (52 − 16) × 2 = n

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The following can be deduced:

Lara read 52 pages.

Jack read 16 fewer pages than Lara.

Steph read 2 times as many pages as Jack.

The pages for Steph will be:

= 2(52 - 16)

In conclusion, the correct option is B.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Given the identically distributed random variables X1 and X2 with cumulative distribution function (CDF) F, and the defined random variables U1 = 1 - F(X1) and U2 = 1 - F(X2), we can calculate the joint distribution of (X1, X2) and derive the copula function of X1 and X2.

To find the joint distribution of (X1, X2), we need to express it in terms of the random variables U1 and U2. Since U1 = 1 - F(X1) and U2 = 1 - F(X2), we can rearrange these equations to obtain X1 = F^(-1)(1 - U1) and X2 = F^(-1)(1 - U2), where F^(-1) represents the inverse of the cumulative distribution function.

By substituting the expressions for X1 and X2 into the joint distribution function of (X1, X2), we can transform it into the joint distribution function of (U1, U2). This transformation is based on the probability integral transform theorem.

The copula function, denoted as C, describes the joint distribution of the random variables U1 and U2. It represents the dependence structure between U1 and U2, independent of their marginal distributions. The copula can be derived by considering the relationship between the joint distribution of (U1, U2) and the marginal distributions of U1 and U2.

Overall, by performing the necessary transformations and calculations, we can obtain the joint distribution of (X1, X2) and derive the copula function of X1 and X2.

Learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11

We will decide each category of number by looking at definition of given property.

Natural numbers are those that begin at 1 and go all the way to infinity. In other words, natural numbers do not include 0 or any other negative or fractional numbers and are strictly counting numbers.

The number zero is not a natural number. Natural numbers can be written out in the following order: 1, 2, 3, 4, 5, and so forth. But 0 belongs to the group of whole numbers and integers.

Whole: 0,1,7,12

Integer:0,1,7,12,-1

Real: 0,1,7,12,-1, 2/3

Irrational: 2/3

Natural:1,7,12

Rational:0,1,7,12,-1

To learn more natural number visit the link:

https://brainly.com/question/2228445

#SPJ1

We will decide each category of number by looking at definition of given property.

What is natural number?

Natural numbers are those that begin at 1 and go all the way to infinity. In other words, natural numbers do not include 0 or any other negative or fractional numbers and are strictly counting numbers.

Is zero a natural number?

The number zero is not a natural number. Natural numbers can be written out in the following order: 1, 2, 3, 4, 5, and so forth. But 0 belongs to the group of whole numbers and integers.

Whole: 0,1,7,12

Integer:0,1,7,12,-1

Real: 0,1,7,12,-1, 2/3

Irrational: 2/3

Natural:1,7,12

Rational:0,1,7,12,-1

To learn more natural number visit:

brainly.com/question/2228445

#SPJ1

The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.

Slope=Vertical Change/Horizontal Change

This is also represented as the "ratio of rise to run of a line".

Slope=Rise/Run

In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".

Horizontal Change/ Vertical Change= 1/slope

This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.

To know more about the slope of a line:

https://brainly.com/question/14459038

Answer:

The reflection is in the y-axis cause the y point went from -7 to 7 and the x point stayed the same.

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

To know more about angles, visit

https://brainly.com/question/28292775

#SPJ4

The statement which is true about the equation is; The discriminant is greater than 0, so there are two real roots.

The discriminant of a quadratic equation of the form; ax² + bx +c = 0 is given by the formula;

This discriminant is used to determine what type of roots, the equation would have.

For this scenario;

Hence, we can conclude that the discriminant of the equation is greater than zero, so there are two real roots.

Read more on discriminant;

https://brainly.com/question/2507588

Answer:

B on Edge 23

Step-by-step explanation:

because i said so

Answer : 52

Explaination :

(5x+2)+(2x+18)+90=180

5x+2x+2+18+90=180

7x+110=180

7x = 180-110

7x = 70

x = 70÷7

x = 10

Angle CDF

= 5(10)+ 2

=52

Answer:

answer is 2

Step-by-step explanation:

can you mark me brainlist

By standardizing the weight using the z-score formula, we can find the probability associated with a specific weight using the standard normal distribution table or statistical software.

To find the probability associated with a specific weight (t), we can standardize the weight using the z-score formula: z = (t - μ) / σ, where μ is the mean and σ is the standard deviation. By substituting the values of the mean (10 grams) and standard deviation (2.1 grams) into the formula, we can calculate the z-score for a specific weight.

Once we have the z-score, we can use the standard normal distribution table or statistical software to find the corresponding probability. The probability represents the area under the normal curve associated with the specific weight.

Without a specific weight value provided, it is not possible to generate a specific answer to the probability. However, by substituting the desired weight value into the z-score formula and looking up the corresponding probability, one can determine the probability associated with a specific weight of filled jars of orange juice.

Visit here to learn more about standard deviation  : https://brainly.com/question/29115611

#SPJ11

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12

Answer:

how would I know this

Step-by-step explanation:

Just how

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

To learn more on Statistics click:

brainly.com/question/29342780

#SPJ1