A solid figure
is separated into two rectangular prisms.
The volume of Rectangular Prism is 80 cubic feet. Rectangular Prism B has
a length of 6 feet and a width of 5 feet.
The total volume of the solid figure is
200 cubic feet. What is the height of
Rectangular Prism B?

For the given function \(\displaystyle \lim_{x \to -\infty} \frac{5\sqrt[3]{x}-\sqrt[7]{x}}{8\sqrt[3]{x}+3\sqrt[7]{x}}\) the value for limit is 5/8.

What is limit?

A limit in mathematics is a point at which a function approaches the outcome for the specified input values. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity.

The function is given as -

\(\displaystyle \lim_{x \to -\infty} \frac{5\sqrt[3]{x}-\sqrt[7]{x}}{8\sqrt[3]{x}+3\sqrt[7]{x}}\)

Dividing the function by \(\sqrt[3]{x}\) -

\(\displaystyle \lim_{x \to -\infty} \frac{5-\frac{1}{x^{\frac{4}{21} }} }{8+\frac{3}{x^{\frac{4}{21}}} }\)

Use the formula \(\displaystyle \lim_{x \to a} \Bigg[\frac{f(x)}{g(x)}\Bigg]=\frac{\displaystyle \lim_{x \to a}f(x)}{\displaystyle \lim_{x \to a}g(x)} , \displaystyle \lim_{x \to a}g(x)\neq 0\) -

With the exception of indeterminate form -

\(\frac{\displaystyle \lim_{x \to -\infty}\Bigg(5-\frac{1}{x^{\frac{4}{21}}} \Bigg)}{\displaystyle \lim_{x \to -\infty}\Bigg(8+\frac{3}{x^{\frac{4}{21}}} \Bigg)}\)

Find the values individually -

\({\displaystyle \lim_{x \to -\infty}\Bigg(5-\frac{1}{x^{\frac{4}{21}}} \Bigg)}=5\)

\({\displaystyle \lim_{x \to -\infty}\Bigg(8+\frac{3}{x^{\frac{4}{21}}} \Bigg)}=8\)

So, the limit is 5/8.

Therefore, the limit is 5/8.

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Answer:

23

Step-by-step explanation:

Answer:

D. 46.5%

Step-by-step explanation:

I calculated it logically

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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The value for x in the given equation is -24.

Combine.  1/2 and x.

2x/6 + 24/3 = (x/6 + 14/2) -3

2x/6 + 48/6 = (x+42)/6 - 18/6

2x = 42 - 18 - 48

2x = -48

x = -24

A direct variation is a proportionality relationship in which two quantities follow a direct relationship.

An INEQUALITY is a statement which shows that two quantities are not equal or may not be equal. If two quantities are not equal, then one is greater than the other.

≥ (greater than or equal to) means at least that amount or more.

≤ (less than or equal to) means at most that amount or less.

To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

Please click the image to view the graph

6x + 2y > 10

Replace the input variable in the formula with the value provided.

Calculate the result.

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The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

i am not sure but.....x-42

Step-by-step explanation:

no of gumballs sue has : x

number of gumballs emily has = x-42.......

i think this is the one

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.

In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.

According to the given information:

The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:

Length of arc = (angle/\(360\)) x \(2\pi r\)

where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).

Substituting the given values, we have:

Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)

Length of arc = \((1/4)\) x \(2\pi ft\)

Length of arc = \(\pi /2 ft\)

Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)

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the length of the 90° arc is π/4 feet or approximately 0.785 feet

What is arc of circle?

In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.

The formula for the length of an arc is:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.

In this case, θ = 90° and r = 1 ft, so we have:

L = (90/360) × 2π(1) = (1/4) × π = π/4

Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).

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Answer:

(5x − 2)(2x − 3).

Step-by-step explanation:

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458

Answer: 90,000

Step-by-step explanation:

Answer:

Domain: -1 ≤ x < 2

Range: 0 < y ≤ 4

Answer:

Domain:  [-1, 2)

Range:  (0, 4]

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

From observation of the graph, the x-values of the endpoints of the continuous curve are x = -1 and x = 2.

As there is a closed circle at endpoint (-1, 3), this indicates that x = -1 is included in the interval of the domain.

As there is an open circle at endpoint (2, 0), this indicates that x = 2 is not included in the interval of the domain.

When writing interval notation:

Therefore, the domain of the graphed function is:

\(\hrulefill\)

The range of a function is the set of all possible output values (y-values).

From observation of the graph, the highest y-value of the curve is y = 4 and the lowest is y = 0.

As there is an open circle at (2, 0), this indicates that y = 0 is not included in the interval of the range.

When writing interval notation:

Therefore, the range of the graphed function is:

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

5:3

Step-by-step explanation:

140:84 =

35:21 =

5:3

Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)

The ratio is 5:3

A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given:

Total participants= 224

nonresidents =84

So, residents= 224-84 = 140

Now, ratio of residents to nonresidents

=140/84

=70/42

=10/6

=5/3

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Answer:

Step-by-step explanation:

L = 4 in real life = 4*30 =120 miles

W=6 in real life =6*30=180 miles

actual area = 120*180 = 21600sq miles

to fit into a 6sq in paper it'll need to shrink to 2x3 inches, 1/2 of what it was before, so the scale becomes 1" for every 60miles.

The second differences for the relation is -2 which is option A.

To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.

First, let's calculate the first differences:

-9 - (-4) = -5

-4 - (-1) = -3

-1 - 0 = -1

0 - (-1) = 1

-1 - (-4) = 3

-4 - (-9) = 5

Now, let's calculate the second differences:

-5 - (-3) = -2

-3 - (-1) = -2

-1 - 1 = -2

1 - 3 = -2

3 - 5 = -2

The second differences for the given relation are all -2.

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As per the standard deviation, the probability of 8≤ X < 11 is 0.1429.

A random variable X is a mathematical representation of the possible values that a random process or experiment can take on. X has a normal distribution, meaning that its distribution follows a bell-shaped curve.

The standard deviation measures how spread out the values of X are around the mean.

If X has a mean of μ and a standard deviation of 2, then 68% of the values of X will fall within one standard deviation of the mean.

This means that about 68% of the values of X will fall between μ-2 and μ+2.

To find the probability that X falls between 8 and 11, we need to use the cumulative distribution function (CDF).  

Using the standard normal distribution table, we find that P(X < 8) = 0.8413 and P(X < 11) = 0.9842.

Thus, the probability that 8≤ X < 11 is

=> 0.9842 - 0.8413 = 0.1429,

which rounded off to the 4th decimal place is 0.1429.

Complete Question:

Random variable X has a normal distribution with mean μ and standard deviation 2. The pdf f(x) of X satisfies the following conditions: (A) f(6) > f(16), (B) f(1) < f(17). When u is an integer, what is P(8≤ X < 11) (round off to the 4th decimal place)?

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Answer:

is there an image where i can see?

Step-by-step explanation:

The perimeter of a polygon is the sum of all its sides, therefore to find the length of the missing side we have to add the values for the three known ones and then subtract the result from the value of the perimeter. This is done below:

Then we subtract this value from the perimeter:

The missing side has a length of 13x - 16.

The probability that a randomly selected woman does not have red/green color blindness is approximately 0.994.

To calculate the probability of the complement event, we can subtract the probability of the event itself from 100%. So, the probability of not having red/green color blindness is:

100% - 0.65% = 99.35%

This means that if we randomly select a woman from this group, there is a 99.35% chance that she does not have red/green color blindness.

Finally, we can express this probability as a decimal or a percentage. In this case, the probability is:

0.9935 or approximately 0.994 (rounded to three decimal places)

So, The likelihood that a lady chosen at random does not have red/green colour blindness is about 0.994.

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\( \huge \underline \mathtt \colorbox{cyan}{ANSWER}\)

\( 7.413\times 10 ^{3} \)

=7.413 x 1000

\(\bold{\huge{\fbox{\color{Maroon}{easy peasy no big dizzy}}}}\)

\(\fcolorbox{red}{yellow}{BE BRAINLY, MARK BRAINLIEST }\)

Answer:

7413

Step-by-step explanation:

☆ \( \huge\red{hi}\)

Two consecutive number between \(2 \frac{3}{10}\) and \(4 \frac{1}{2}$\) are 3 and 4.

Composite number are those number which follow a particular sequence whether it is normal, even, odd or any other sequence.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         AP) is the best method to identify whether the number are consecutive or not.

So here, we can write as \(\frac{23}{10}=2.3[/t\)                                                                                                                                                                                                                                                                                         ex] and we can write \(\frac{1}{2}\) as \(frac| {9}{2}=4.5\)

So, two composite number are 3 and 4.

Arithmetic Progression, (AP) A sequence can called in as AP when the difference between them are common which means the each previous is differ from its preceding one by a constant quantity.

\(a_n=a_1+(n-1) * d\) where, \(a_1=\) first termed= common difference \(a_n=\) term in the sequence

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

(-4;5)

Step-by-step explanation:

Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:

3 * (-4) - 2 * 5 = -12 - 10 = -22

Answer:

Step-by-step explanation:

Hello,

\((-5+3i)\times(1-2i)=-5(1-2i)+3i(1-2i)\\\\=-5+10i+3i-6i^2\\\\=-5+13i+6\\\\\boxed{=1+13i}\)

Thanks

Answer:

Same answer as the other person, it is 1 + 13i

Step-by-step explanation:

They were first and is right so I don't think I have to put down a explanation! ^^

Please 5 stars and thank me if I'm right! -w-

La factorización de la suma o diferencia de potencias de igual exponente se realiza utilizando las siguientes fórmulas:

1. Suma de potencias de igual exponente:

a^m + b^m = (a + b) (a^(m-1) - a^(m-2) b + a^(m-3) b^2 - ... + b^(m-1))

2. Diferencia de potencias de igual exponente:

a^m - b^m = (a - b) (a^(m-1) + a^(m-2) b + a^(m-3) b^2 + ... + b^(m-1))

Donde "a" y "b" son los términos que se suman o restan y "m" es el exponente común de ambas potencias.

Es importante notar que la fórmula para la suma contiene una alternancia de signos entre los términos dentro del paréntesis, comenzando con un signo positivo y luego alternando entre signos negativos y positivos en orden descendente. Por otro lado, la fórmula para la diferencia contiene una alternancia de signos entre los términos dentro del paréntesis, comenzando con un signo positivo y luego alternando entre signos positivos y negativos en orden descendente.

Espero que esto te ayude a entender la factorización de la suma o diferencia de potencias de igual exponente. Si tienes alguna otra duda, ¡no dudes en preguntar!

Answer: 408 yards.

Step-by-step explanation: The formula to use to find the area of a rectangle is to multiply the length by the width.