evaluate the intergral2x(xsquared+3)exponent 4​

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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Answer: 32.14   after round off it will be 32

Step-by-step explanation:

This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.

32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 32

Fractional Part: 14

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:

32

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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This is what she/he is saying:

A stone is thrown into a pool of calm water which creates concentric waves that increase the radius over time. When the external wave reaches a radius of 3 meters, it increases at a speed of 5 cm / s, at what speed does this area of ​​the circle increase by said wave?

Answer: 4.330747

Step-by-step explanation: Hoped this helped:))

Answer:

4.330747

Step-by-step explanation:

This phrase can be used in a variety of contexts, from simple arithmetic problems to more complex Algebraic equations and expressions.

The algebraic expression ÷ 8 can be written in a variety of ways depending on the context and the specific operation being performed. However, in general, the phrase "divided by 8" or "the quotient of x and 8" can be used to represent this expression.

For example, if we have an algebraic expression such as 24 ÷ 8, we can write it as

24 divided by 8

the quotient of 24 and 8

24/8

In each case, the idea is the same: we are dividing 24 into 8 equal parts, or finding how many groups of 8 are contained in 24.

In the context of an algebraic equation or expression, the phrase "divided by 8" is often used to indicate that the variable or expression preceding it is being divided by 8. For example:

3x ÷ 8

(2y + 5) ÷ 8

In these cases, we are dividing the value of 3x or the sum of 2y and 5 by 8. The quotient of these expressions will depend on the specific values of x and y."divided by 8" is a commonly used phrase to represent the algebraic expression ÷ 8. This phrase can be used in a variety of contexts, from simple arithmetic problems to more complex algebraic equations and expressions.

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Answer:

3840

Step-by-step explanation:

Using the fundamental counting principle

The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages.

There are 5 independent events happening (5 prixe dinners)

(1) soup or salad (not both)

We have five kinds of soup, three kinds of salad

soup or salad (not both), = 5 + 3

= 8

(2) appetizer = 4

(3) entrees = 6

(4) dessert = 5

(5) Beverage = 4

Hence,

8 × 4 × 6 × 5 × 4

= 3840

The number of different prix fixe dinners are possible is 3840

1.84 mol of NaCl contain 108 g.

We have,

Number of mole = 1.84

Now, the molecular mass of NaCl = 58.44 g / mol

We know that

mass = moles x  molecular mass

mass = 1.84 x 58.44

mass = 107.5296

mass= 108 g

Thus, 1.84 mol of contains 108 g of NaCl.

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Answer:

y = 3x + 4

Step-by-step explanation:

✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):

Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3

m = 3

✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b

10 = 3(2) + b

10 = 6 + b

10 - 6 = b

4 = b

b = 4

✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b

y = 3x + 4

Answer:

50 degrees

Step-by-step explanation:

because it is a parallelogram, angle B = angle D, and angle C = angle A

that means we have 130(2) = 260 degrees that we know.

the total interior angles of a parallelogram = 360

360 - 260 = 100 degrees left. BUT because those are the total amount of angles left, those are angles A and C combined, so you have to divide 100 in half to get the angle A/ angle DAB

100/2 = 50 degrees. hope this helps! leave a question if you are still confused.

Answer:

True

Step-by-step explanation:

Considering the above definition of Pooled Variance, the correct answer is TRUE.

This is because Pooled variance is used to determine the reasonable estimates of variance, where several repeated tests are expected at each value.

This helps to provide greater precision estimates of variance.

Answer:

6300 will if hank buys 9 kites

Answer:

Step-by-step explanation:

To prove the statement "A Set S with two or more vectors is linearly independent if and only if no vector in S is expressible as a linear combination of the other vectors in S," we must show that both directions of the statement are true. That is, we must show that if a set S is linearly independent, then no vector in S is expressible as a linear combination of the other vectors in S, and conversely, if no vector in S is expressible as a linear combination of the other vectors in S, then the set S is linearly independent.

First, let's assume that the set S is linearly independent. This means that for any vectors v1, v2, ..., vn in S, the equation a1v1 + a2v2 + ... + anvn = 0 has only the trivial solution a1 = a2 = ... = an = 0. We will prove that no vector in S is expressible as a linear combination of the other vectors in S.

Suppose, for the sake of contradiction, that there exists a vector v in S that can be expressed as a linear combination of the other vectors in S. That is, there exist vectors v1, v2, ..., vn-1 in S such that v = b1v1 + b2v2 + ... + bn-1vn-1, where not all of the bi's are zero. Without loss of generality, assume that b1 is nonzero. Then we can write v1 as a linear combination of the other vectors in S:

v1 = (1/b1)v - (b2/b1)v2 - ... - (bn-1/b1)vn-1

Substituting this expression for v1 in the equation a1v1 + a2v2 + ... + anvn = 0, we get:

a1[(1/b1)v - (b2/b1)v2 - ... - (bn-1/b1)vn-1] + a2v2 + ... + anvn = 0

Multiplying both sides by b1 and rearranging, we get:

(a1/b1)v + (-a1b2/b1)v2 + ... + (-a1bn-1/b1)vn-1 + a2v2 + ... + anvn = 0

This is a linear combination of vectors in S that equals the zero vector, and not all of the coefficients are zero, since a1 is nonzero. But this contradicts the assumption that S is linearly independent, so our assumption that there exists a vector in S that can be expressed as a linear combination of the other vectors in S must be false. Therefore, no vector in S is expressible as a linear combination of the other vectors in S.

Now let's assume that no vector in S is expressible as a linear combination of the other vectors in S. We will prove that the set S is linearly independent. Suppose, for the sake of contradiction, that there exist vectors v1, v2, ..., vn in S such that the equation a1v1 + a2v2 + ... + anvn = 0 has a nontrivial solution, where not all of the ai's are zero. Without loss of generality, assume that a1 is nonzero. Then we can write v1 as a linear combination of the other vectors in S:

v1 = (-a2/a1)v2 - ... - (an/a1)vn

Substituting this expression for v1 in the equation a1v1 + a2v2 + ... + anvn = 0, we get:

0 = a1(-a2/a1)v2 + ... + a

Answer:

B

Step-by-step explanation:

Answer:

  7²

Step-by-step explanation:

You want to know what 7×7 is when it is written using an exponent.

At its most basic, an exponent signifies repeated multiplication. It represents the number of times a value appears as a factor in the product.

The expression 7×7 has 7 as a factor 2 times. It can be written as 7 with an exponent of 2.

  7×7 = 7²

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Answer:

40x4x<60

x<5

Step-by-step explanation:

40x4x<60

4x<60-40

4x<20

x<20÷4

x<5

Answer:

b = 9.2 (Rounded to the nearest tenth)

Step-by-step explanation:

ABC is a right-angled triangle at B.

Then ,according to the Pythagorean theorem:

\(b = \sqrt{a^2 + c^2}\)

  \(= \sqrt{6^2 + 7^2}\)

 \(= \sqrt{36 + 49}\)

 \(= \sqrt{85}\)

 \(=9.219544457293\)

Answer:

27/2 =x

Step-by-step explanation:

We can write a ratio to solve

3             2

-----  = ---------

3+x          11

Using cross products

3*11 = 2(3+x)

33 = 6+2x

Subtract 6 from each side

33-6 = 6+2x-6

27 = 2x

27/2 = 2x/2

27/2 =x

Answer:

Reflexive property of equality

Step-by-step explanation:

98.6 = 98.6

Divide total seeds by seeds per package:

1960 / 35 = 56

56 packages can be made.

P11 equals  769.417 and general formula is 19*(1.4)^(n)

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself

The growth rate is .4 per time period.

the exponential growth model is f = p * (1 + .4) ^ n

f is the future value.

p is the present value.

r is the growth rate per time period.

n is the number of time periods.

in p0, n = 0

in p11, n = 11

you are given that p0 = 19

in the formula, that becomes f = 19 * (1 + .4) ^ 0 = 19 * (1.4) ^ 0 = 19.

the formula for p1 becomes f = 19 * (1 + .4) ^ 1 = 19 * (1.4) ^ 1 = 26.6

the formula for p11 becomes f = 19 * (1 + .4) ^ 11 = 19 * (1.4) ^ 11 = 769.417

the formula for pn becomes = 19*(1.4)^(n)

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Answer:

1356545986--&_67ghtyojioftu?fuñt?fufldtuñf

Answer:

멍청한 멍청이 인 줄 몰라 다시 묻지 마요 포인트 만 있으면 돼 멍청한 학교 질문에 답하고 싶지 않아요 멍청한 멍청이

Step-by-step explanation:

멍청한 멍청이 같은 또 다른 질문은하지 말아요.

Answer:

y= 3/2x + 3

Step-by-step explanation:

y=mx+b

m=slope

b= y-interspect

The value of a4 would be equal to -666.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that \(a_0=10\) and \(a_n+1=-5a_n\)

This is a recursive formula. So we can simply substitute in each value. For instance, a₂

Use the recursive definition repeatedly.

a2 = -5(6) +4 = -26

 a3 = -5(-26) +4 = 134

 a4 = -5(134) +4 = -666

Therefore, the value of a4 is -666

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Triangle UTS and triangle VTS are congruent using ASA criteria. Hence, SU = SV using CPCT.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Although having the same form, each might have different sizes.

There are no matching angles that are not equal.

Similar equivalent side ratios exist.

Given: ST bisects ZUTV.

angle UTS ≅ angle VTS (as ST bisects ZUTV)

angle TUS and angle TVS are right angles as shown in the figure.

Thus, triangle UTS and triangle VTS are congruent using ASA criteria.

Hence, SU = SV using CPCT.

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Answer:

10  miles

Step-by-step explanation:

tree points form a right triangle with sides 8, 6 and x

x is the hypotenuse of the triangle

x²=8²+6²=100

x=√100=10  miles

Answer:

for 8 gram bottle =  2 cases

for 20 gram bottle = 3 cases

for 30 gram bottles = 2 cases

Step-by-step explanation:

Determine how many cases of each bottle type Damien needs to order

i) For 8-gram bottles

available bottles = 156

required amount ≥ 400

extra bottles to be ordered = 400 - 156 = 244 bottles

since case contains 140 bottles , the number of cases to be ordered

= 244 / 140 = 1.74 cases ≈ 2 cases

ii) for 20 gram bottles

available bottles = 78

required amount  ≥ 400

Extra bottles to be ordered = 400 - 78 = 322 bottles

therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases

iii) For 30 gram bottles

available bottles = 132

required amount  ≥ 400

Extra bottles to be ordered = 400 - 132 = 268

therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases