et up, but do not evaluate, an integral for the length of the curve. y = xex7, 0 ≤ x ≤ 4 0 dx

Bruce wants to make a 50 ml solution of 12% concentration and the equation that would show how much 10% solution he should use is 0.10x + 0.15(50 – x) = 0.12(50).

The quantity of the 10% alcohol solution that should be used is the focus. We shall therefore assume that the quantity is x:

= 10% × x

= 0.10x

After this quantity of x is used, the remaining quantity should come from the 15% solution:

= 15%(50 - x)

= 0.15(50 - x)

All these have to add up to a 12% concentration of a 50 ml solution:

= 12% x 50

= 0.12(50)

The full formula would therefore be:

0.10x + 0.15(50 - x) = 0.12(50)

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Answer:

The answer is B

Step-by-step explanation:

B = -9/2

Hopefully this helps and this is what you're looking for.

x is 6.215 km and the total time taken for the whole journey is 3.61 hours.

Boat's speed in still water = u = 4 km/h

Speed of stream = v

Distance between A and B = 5 km

Upstream speed = u - v

                            = 4 - v

Time taken = \(T_{1}\) = \(\frac{5}{4-v}\)

Downstream speed = x = u + v

                                       = 4 + v

Time taken = \(T_{2}\) = \(\frac{5}{4+v}\)

According to question,

      \(T_{1}= T_{2}+2\)

    \(\frac{5}{4-v}=\frac{5}{4+v}+2\)

    \(\frac{5}{4-v}=\frac{5+2(4+v)}{4+v}\)

    \(\frac{5}{4-v}=\frac{5+8+2v}{4+v}\)

5(4+v) = (13+2v)(4-v)

20+2v = -2\(v^{2}\)-5v+52

\(2v^{2}+10v-32 = 0\)

\(v^{2}+5v-16 = 0\)

v = 2.215 or -7.215

Speed can't be negative.

Therefore, v = 2.215

Upstream speed = 4 - 2.215

                            = 1.785 km/h

Downstream speed = 4 + 2.215

                                 = 6.215 km/h

\(T_{2}\) = 5/6.215

    = 0.805 h

\(T_{1}\) = 2 + 0.805

   = 2.805 h

Total time = 2.805 + 0.805

                 = 3.61 h

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Answer:

7x^3 - 7x^2 + 35x

Step-by-step explanation:

7x(x^2-x+5)

7x^3-7x^2+35x

Answer:

$103.08

Step-by-step explanation:

The total cost of the scooter including tax to the nearest cent will be $103.08.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Olive is going to buy a scooter that costs $95. The sales tax rate is 8.5%.

The amount of the sales tax will be

Sale tax = 8.5% of $95

Sale tax = 0.085 × $95

Sale tax = $8.075

The total cost of the scooter including tax to the nearest cent will be

Total cost = $95 + $8.075

Total cost = $103.075 ≈ $103.08

The total cost of the scooter including tax to the nearest cent will be $103.08.

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Answer:

correct answer for what

Answer:

every two seconds it does one full swing,meaning after 30 seconds. it will do 15 full swings.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the rest are in the picture.

C. \(81^{\frac{5}{4} }\) is the correct one.

The mathematical form in which we can able to write repeated multiplications in easy way with the help of base and exponents, is called exponential form.

Example : Exponential form of 4×4×4×4×4 is \(4^{5}\).

Given, \(\sqrt[4]{81^{5} }\)

Simplifying, \(\sqrt[4]{81^{5} }\) = \((81^{5}) ^{\frac{1}{4} }\) = \(81^{\frac{5}{4} }\)

The exponential form = \(81^{\frac{5}{4} }\)

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Answer:

The answer is 8

Step-by-step explanation:

This problem is asking for what I call the GCF. (Which stands for Greatest Common Factor) How do we know this? Well, it says the groups have to be so no marbles are left over. So it is asking for a factor all of these numbers share. So it could be 4, 2, or 8, since these are the numbers you can evenly divide these numbers by. It also asks for the greatest number of those groups. Well, eight is the greatest of the factors. Therefore, it is the GCF of 24, 96, 16, and 32.

Sentence form: Since this is a word problem, you just gotta have a sentence. It would be "The greatest number of groups John can make without anything left over from these marbles is 8." Or something along those lines.

Hope you found this helpful! I'm a noob at this so I might have worded something weird :P

The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.

GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.

Here, John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.

Now, To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,

24=2×2×2×3

96=2×2×2×2×2×3

16=2×2×2×2

16=2×2×2×2

32=2×2×2×2×2

Here, the 2×2×2 is the common factor which is appears in all the terms.

Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.

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Answer:

\(\boxed{5x^2}\)

Step-by-step explanation:

\((-2x)^2-(-3x)^2\)

Based in the order of operations (PEMDAS), we solve:

\(4x^2-9x^2 =5x^2\)

\(\text{-B$\mathfrak{randon}$VN}\)

Answer: \(-5x^{4}\)

Step-by-step explanation: add and boom

Answer:

44

Step-by-step explanation:

1.5x-3=63

solve for x to get 44

The height for Jennifer's is 44 inches.

Given that,

Marco's height is 63 inches.

Marco's height is 3 inches less than 1.5 times Jennifer's height.

We have to determine,

What is Jennifer's height in inches?

According to the question,

Let, the height of Jennifer's be x,

Marco's height is 3 inches less than 1.5 times Jennifer's height,

And Marco's height is 63 inches.

Then,

The equation can be written as,

\(63= 1.5x - 3\\\\63 + 3 = 1.5x\\\\66 = 1.5x \\\\x = \dfrac{66}{1.5}\\\\x = 44 \ inches\)

Hence, The required height for Jennifer's is 44 inches.

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Answer: He did not convert the fractions into the like fraction to add.

Step-by-step explanation:Given: The distance Jonah runs on Sunday=  milesThe distance Jonah runs on Monday=  milesThe total distance he ran = Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get The total distance he ran = The right answer is "The total distance he ran ="

Answer:

c

Step-by-step explanation:

its right

Answer:

C. 13

Step-by-step explanation:

-5( 13 - 20 ) = 35

-5( -7) = 35

35 = 35

Hope this helps!

Answer:

8 1/30

Step-by-step explanation:

(10-8) + (1/5 - 1/6)

Answer:

8  1/30

Step-by-step explanation:

Find the common deminator, then subtract!!

Answer:

alright, lets say danetta's dinner bill is 20 dollars, and she ordered 4 things, so the equation would be x times 5=20, and edwards would be 25 dollars, so that equation would be x times 5=25

Step-by-step explanation:

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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There are a total of 9 possible sums. Suppose, the cards in the first set are 4, 5, and 6.

Similarly, the cards in the second set are 5, 6, and 7. A total of nine cards are there. If we choose one card from the first set and one card from the second set, then we get a total of nine possible pairs.

Hence, the sum of these pairs can be 4 + 5, 4 + 6, 4 + 7, 5 + 5, 5 + 6, 5 + 7, 6 + 5, 6 + 6, and 6 + 7. Therefore, there are nine possible sums possible.

Additionally, there are three possibilities in the first set (4, 5, and 6) and three possibilities in the second set (5, 6, and 7).

This means that there are 3 × 3 = 9 possible pairs of cards that we can choose, so there are 9 possible sums.We can list all of these sums as follows:4 + 5 = 96 + 5 = 116 + 5 = 116 + 6 = 127 + 5 = 127 + 6 = 137 + 7 = 14. Therefore, there are a total of 9 possible sums.

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The experimental probability that the next train to pull in will be full is \(\rm \frac{4}{5}\). Probability is the ratio of the favorable event to the total number of events.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The experimental probability that the next train to pull in will be full is found as;

\(\rm P= \frac{Favourable}{Total \ outcomes } \\\\\ P(full)= \frac{16}{16+4} \\\\\ P(full)=\frac{16}{20} \\\\ P(full)= \frac{4}{5}\)

Hence, the  experimental probability that the next train to pull in will be full is \(\rm \frac{4}{5}\).

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Answer:

H

Step-by-step explanation:

We see that the number decreases 4 times, 6 at a time.

However, it's decreasing, so, it would actually be -6 at a time.

The answer is 4 * -6, which is H.

Hope this helps!

Answer:

\( 85\degree \)

Step-by-step explanation:

By the property of intersecting chords inside a circle.

\( m\angle AEB=\frac{1}{2} (132\degree + 38\degree) \)

\( m\angle AEB=\frac{1}{2} \times 170\degree \)

\( m\angle AEB=85\degree \)

Answer:

40.38912735 or about 40 miles per hour (rounded to the nearest whole number)

Step-by-step explanation:

1.) You want to convert kilometers per hour to miles per hour.

2.) There are 0.62137119 miles in 1 kilometer.

3.) Multiply 65 by 0.62137119

4.) That equals 40.38912735

5.) This answer can be rounded to 40 mph.

Answer :-

step by step explanation:-

Let the time be x

principal = rs 8000

Amount = rs 13824

rate = 20% p.a

A = P(1+r/100)^n

13824 = 8000 ( 1 + 20/100)^n

=> 13824/8000 = (120/100)^n

=> 13824/8000 = (24/20)^n

=> (24/20)³ = (24/20)^n

=> 3 = n

=> n = 3 years

The formula for the area of the quadrilateral with side lengths B C = b₁, A D = b₂, and A B = h can be given by the expression:

Area = ½ × (b₁ + b₂) × h

Let's consider the quadrilateral with side lengths B C = b₁, A D = b₂, and A B = h. We can divide this quadrilateral into two triangles by drawing a diagonal from B to D. The height of both triangles is equal to h, which is the perpendicular distance between the parallel sides B C and A D.

To find the area of each triangle, we use the formula: Area = ½ × base × height. In this case, the base of each triangle is b₁ and b₂, respectively, and the height is h.

Therefore, the area of each triangle is given by:

Area₁ = ½ × b₁ × h

Area₂ = ½ × b₂ × h

Since the quadrilateral is composed of these two triangles, the total area of the quadrilateral is the sum of the areas of the two triangles:

Area = Area₁ + Area₂

     = ½ × b₁ × h + ½ × b₂ × h

     = ½ × (b₁ + b₂) × h

Hence, the conjecture is that the formula for the area of the quadrilateral with side lengths B C = b₁, A D = b₂, and A B = h is given by the expression: Area = ½ × (b₁ + b₂) × h.

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Testing is only one part of the overall assessment process.

What is evaluation in education?

Assessment is an ongoing process of gathering evidence of what each student actually knows, understands, and can do. A comprehensive evaluation approach includes a combination of formal and informal evaluation (formative, preliminary, and summative).

What is an assessment? Also what does it mean?

At the course level, assessments provide important data on the breadth and depth of student learning. Evaluation is more than scoring. It's about measuring student learning progress. Assessment is therefore defined as “the process of data gathering to better understand the strengths and weaknesses of a student's learning”. 

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Answer:

according to the figure the width should have the same dimensions e.g if one is 94 the other should be 94 too

Answer:

A

C

E

Step-by-step explanation:

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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Call center A and B offers equal wages.

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 LHS = RHS is a common mathematical formula.

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:

The formula for wages = P/t

First, P= 15 dollars

           = 1500 cents

time= 1 hour= 60 minutes

then, the unit rate is

=1500/60

= 25 cents/ min

Second, P= 25 cents

time= 1 minutes

then, the unit rate is

=25/1

= 25 cents/ min

Hence, Call center A and B offers equal wages.

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Answer:

Let the number be X

42 + 2x/4 =2X

cross multiply

42+2X=8x

42=8X-2x

42=6X

6X=42

X=7

Step-by-step explanation:

I'm just a smart guy