PLEASE HELP ON A TEST AND NEED HELP Martin has a larger cube made up of smaller cubes with fractional edge lengths, as shown below.

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

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The equation of the line  4x + 5y = -30  in slope intercept form is y = - 4 / 5 x - 6

Equation of a line can be represented in slope intercept form as follows;

y = mx + b

where

Therefore, the equation of the line 4x + 5y = -30 can be represented in slope intercept form as follows:

Using the format y = mx + b

4x + 5y = -30

subtract 4x from both sides of the equation

5y = -4x - 30

divide both sides of the equation by 5

y = - 4 / 5 x - 30 / 5

y = - 4 / 5 x - 6

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The remainder if 4x4 - 7x3 + 2x2 - 5x + 3 is divided by x - 2 is 9

Given thee function 4x4 - 7x3 + 2x2 - 5x + 3, if it is divided by x - 2, hence to get the remainder,

First, you will equate x - 2 to 0 to find x

Get P(2)

P(2) = 4(2)^4 - 7(2)^3  + 2(2)^2 - 5(2) + 3

P(2) = 64 - 56 + 8 - 7

P(2) = 9

Hence the remainder if 4x4 - 7x3 + 2x2 - 5x + 3 is divided by x - 2 is 9

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

b)  26%

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

\(\large\boxed{X \sim\text{N}(\mu,\sigma^2)}\)

Given:

\(\textsf{Mean}\;\mu=3550\)

\(\textsf{Standard deviation}\:\sigma=870\)

Therefore, if the weights of the cars passing over the bridge are normally distributed:

\(\boxed{X \sim\text{N}(3550,870^2)}\)

where X is the weight of the car.

To find the approximate probability that the weight of a randomly-selected car passing over the bridge is less than 3000 pounds, find\(\text{P}(X < 3000)\).

Calculator input for "normal cumulative distribution function (cdf)":

\(\implies \text{P}=0.2636333503\)

\(\implies \text{P}=26\%\)

Therefore, the approximate probability that the weight of a randomly-selected car passing over the bridge is less than 3000 pounds is 26%.

Answer:

Domain: -∞ < x < ∞

Range:   -∞ < f(x) < ∞

Derivative: 3x² - 4x - 1

Roots: x1=-1

           x2=1

           x3=2

Answer:

2(6x+7)+10x

12x+14+10x

22x+14

Let me know if this helps!

The simplified version of the expression is 22x+14

Step-by-step explanation:

You need to start this by distributing the 2 to the 6x and the 7. When we do this, the expression now becomes 12x+14+10x

From here, we need to combine like terms, such as the 12x and the 10x. From this we get the final form of the expression: 22x+14

9514 1404 393

Answer:

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

  A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

  360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

  $1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

  $157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

  $378,000 -157,823 = $220,177

Answer:

The solution to the equation x + 9 = 18 + -2x is x = 3.

Step-by-step explanation:

To solve this equation for x, you can first simplify both sides of the equation by combining like terms.

x + 9 = 18 + -2x

Add 2x to both sides:

x + 2x + 9 = 18

Combine like terms:

3x + 9 = 18

Subtract 9 from both sides:

3x = 9

Finally, divide both sides by 3 to solve for x:

x = 3

Therefore, the solution to the equation x + 9 = 18 + -2x is x = 3.

HOPE THIS HELPED:)))

Answer:

3

Step-by-step explanation:

replace the + with - signs

x+9=18−2x

add the 2x to both equations and x becomes a 1 since we dont know its value.

3x+9=18

then you got to subtract 9 by 18 and that equals to 9 then

3x=9 3 divided by 9 is 3 and when simplified

and the answer is 3

The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.

To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.

Let's go through the steps to see how this substitution leads us to the solution:

1. Substitute x = 8 tan θ.

This implies dx = 8 sec² θ dθ.

2. Substitute the expression for x and dx in the integral:

∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.

3. Simplify the expression:

∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.

4. Further simplify:

∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.

5. Simplify the expression inside the square root:

∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.

6. Integrate with respect to θ:

∫64sec³ θ dθ = 64∫sec³ θ dθ.

Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.

The correct answer is B. x = 8 tan θ.

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Based ob the information, we have sufficient evidence in the favor of the claim that there is significance difference

Since the P-value is less than the significance level , we have to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that there is significance difference

Also, the means for sentences and intentional differ significantly, because the p-value is less than alpha and zero is outside the confidence interval.

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Answer:

Step-by-step explanation:

First, you need to find the least common denominator (LCD) of 6, 12 and 8. 6 factors to 2*3, 12 to 2*2*3 and 8 to 2*2*2. The LCD will be the number that incorporates the combination that includes all the unique factors, which would be 2*2*2*3 or 24. 5/6 = 20/24, 1/12 = 2/24 and 7/8 = 21/24 so altogether the team covers

(20+2+21)/24 = 43/24 = 1 19/24 miles

Answer:

A

Step-by-step explanation:

Because of we pur all the points on the Cartesian plane and we "connect" all the points comes a rhombus

SORRY FOR MY BAD ENGLISH BUT I AM ITALIAN

Answer:

45

Step-by-step explanation:

translation :

140% of x = $63

x = $63 ÷ 1.4

x = $45

FUN FACTS :

interesting: 100% means double that number or times 2

if a price is $20 & it increases 100% in price that means its $20 times 2 or $40

percent means per 100

cent means 100 in latin

that's why the decimal moves 2 spaces

for the 2 zeros in 100

chatgpt

Answer:

Joe is selling eggs on the market. He has a total of 300 eggs to sell. He is selling the eggs in batches of x amount of eggs. A customer wants to buy 15 batches of eggs. After the transaction, Joe's total amount of eggs is less than Macy's. Macy has a 200 eggs.

Real world scenarios can be represented by inequalities, and vice versa.

The inequality is given as:

\(300 - 15x < 200\)

A possible scenario is as follows

How long will it take the number of people in a train station to be less than 200, if there are currently 300 people at the station, and 15 people leave the station every minute.

In the above scenario;

x represents the number of minutes

Since 15 people leave each minute, then 15x people would have left after x minutes.

The initial population is given as 300.

So, the current population after x minutes is 300 - 15x.

The current population is to be less than 200.

So, we have:

\(300 - 15x < 200\)

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4.

Total voters = 500

Number of voters that voted for candidate A = 235

Number of voters that voted for candidate B = 500 - 235 = 265

Percent of voters that voted for candidate A

= 235

500

× 100%

= 23500

500

= 47%

Percent of voters that voted for candidate B

= 265

500

× 100%

= 26500

500

= 53%

5.

Margin sample error = % of candidate B - 5 of candidate A

= 53% - 47%

= -/+ 6%

Margin sample error = + 6.0% or - 6.0%

6.

Candidate A interval

= 47 ± 0.5

= 46.5% or 47.5%

Candidate B interval

= 53±0.5

= 52.5% or 53.5%

7.

Candidate with the highest percentage win.

Therefore, candidate B won

Answer:

x=15

Step-by-step explanation:

X-5=10

  +5  +5

-------------

X=15

Hope that helps

Answer:

She can give it in 1- ways

Answer:

March 19th

Step-by-step explanation:

Starting at November 20th, There are 10 days until the start of December

110 days left

December has 31 days

79 days left

January has 31 days

48 days left

February on a leap year has 29 days

19 days left

The load will be due on March 19th

Answer:

I cant see the whole image

Step-by-step explanation:

please show it.

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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The answer is 21.

First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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Answer:

It will take Mrs Chandler 18 hours 45 minutes or 18.75 hours to catch up Mr Chandler

Step-by-step explanation:

What we want to know here is that at how many hours will they have traveled same distance.

Let the total time taken by Mrs Chandler to catch up be x hours

Since Mr Chandler left 2.5 hours earlier , then the total time taken by him would be x + 2.5 hours

Now, we know that distance = speed * time

Since it’s same distance covered;

For Mr Chandler, his distance is calculated as 75(x + 2.5)

For Mrs Chandler, her distance is calculated as 85x

We equate both since they are equal;

75(x + 2.5) = 85x

75x + 187.5 = 85x

85x -75x = 187.5

10x = 187.5

x = 18.75 hours or 18 hours 45 minutes