pls help me with this

Answer:

Step-by-step explanation:

28800 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 10 * 10

You need one 2

You need one 3

You need one 10

28800 * 2 * 3 * 10 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 10 * 10 * 10

(2*6 * 3* 3^3 * 10^3) ^(1/3)

2*2 * 3 * 10 is the cube root

120

The value of the expression 3.10(9 + 1)²2 is 620.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

3.10(9 + 1)²2.

Solving the expression by the help of PEMDAS,

First, we solve the parenthesis,

3.10(10)²2

= 3.10 x 100 x 2

Now, applying multiplication,

3.10 x 100 x 2,

= 620

Therefore, the value is 620.

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Answer:

17 and 5

Step-by-step explanation:

Interesting question!

Turn both sentences to equations:

\(a=4b-3\\a-2b=7\)

a is the first number, and b is the second number.

A system of equations! A graphing calculator will do the work:

(See picture)

The y in the picture is a, and the x in the picture is b.

So the solution is a=17 and b=5

Answer:

yessirrrr

Step-by-step explanation:

There is no formula. Perpendicular just means if two lines form a 90 degree angle. Parallel is when two lines are extending, they dont intersect each other. For example, | | are two parallel lines. Search it up if you need more explaining

Answer:

x=(2939+9)

Step-by-step explanation:

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

115.3

Step-by-step explanation:

Answer: 115.3333333333 or 115 1/3

Step-by-step explanation:

You take 3.46 and divide it by .03

and you get 115.3333333333 or 115 1/3

Hope this helps :)

Answer: $50,750

Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!

Answer:

Rewrite the equation as x+xyz=wx+xyz=w.

x+xyz=wx+xyz=w

Subtract xx from both sides of the equation.

xyz=w−xxyz=w-x

Divide each term by xzxz and simplif

Answer:

Price of Adult tickets =$ 13

Price of student tickets =$ 8

Step-by-step explanation:

Lets us represent the price of adult tickets = x

The price of student tickets = y

On the first day of ticket sales the school sold 10 adult tickets and 13 student tickets for a total of $234.

= 10 × x + 13 × y = $234

= 10x + 13 y = 234

The school took in $97 on the second day by selling 5 adult tickets and 4 student tickets.

5 × x + 4 × y = $97

= 5x + 4y = 97

Hence:

10x + 13y = 234......Equation 1

5x + 4y = 97......... Equation 2

We solve by elimination method

Multiply the equation 1 by 5 and equation 2 by 10 which are the coefficient of x

10x + 13y = 234......Equation 1 × 5

5x + 4y = 97......... Equation 2 × 10

50x + 65y = 1170......Equation 3

50x + 40y = 970..... Equation 4

Subtract Equation 4 from Equation 3

25y = 200

y = 200/25

y = 8

Therefore the price of student ticket = $8

Note that

5x + 4y = 97......... Equation 2

5x + 4 × 8 = 97

5x = 97 + 32

5x = 65

x = 65/5

x = 13

Therefore price of adult tickets = $13

Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.

Complementary angles are two angles whose measures add to 90º.

If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:

\(\sin{a} = \cos{b}\)

In this problem, the equation is:

\(\sin{(2x)} = \cos{(x + 30)}\)

Hence, they are complementary, which means that:

\(2x + x + 30 = 90\)

\(3x = 60\)

\(x = \frac{60}{3}\)

\(x = 20\)

The solution to the trigonometric equation is of x = 20.

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Answer:

a

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (- 1, - 3 ) , then

y - (- 3) = 4(x - (- 1) ) , that is

y + 3 = 4(x + 1)

Answer:

6 days ; 2300 calories

Step-by-step explanation:

Given the following :

Current consumption :

Simba = 1520 calories per day

Increases by 130 calories per day : After d days ;

S(d) = 1520 + 130d

Where ; d = number of days

Cuddle = 3380 calories

Decreases by 180 calories each day; after d days ;

S(d) = 3380 - 180d

Pattern continues until they both consume same number of calories each day

S(d) = C(d)

1520 + 130d = 3380 - 180d

130d + 180d = 3380 - 1520

310d = 1860

d = 6

Number of calories they will be consuming them ;

Using : S(d) = 3380 - 180d

S(6) = 3380 - 180(6)

S = 3380 - 1080

S = 2300

They will be consuming 2300 calories by then.

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

Main Answer:The volume of the solid enclosed by the paraboloid and the planes is 18.67 cubic units.

Supporting Question and Answer:

How do we calculate the volume of a solid bounded by surfaces using triple integration?

To calculate the volume of a solid bounded by surfaces using triple integration, we set up a triple integral with the integrand equal to 1, representing the infinitesimal volume element. The bounds of integration are determined by the equations defining the surfaces that enclose the solid. By evaluating the triple integral over the specified region, we can find the volume of the solid.

Body of the Solution: To find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 3, we can set up a triple integral in the given region.

To find the  volume,using the triple integral:

V = ∫∫∫ R (1) dz dy dx

where R is the region bounded by the given planes and the paraboloid.

The bounds of integration for x are -2 to 2, for y are 0 to 3, and for z are the lower bound function z = 1 and the upper bound function z = 2 + x^2 + (y - 2)^2.

Setting up the triple integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 ∫ from z = 1 to 2 + x^2 + (y - 2)^2 (1) dz dy dx

Integrating the innermost integral with respect to z:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [(2 + x^2 + (y - 2)^2) - 1] dy dx

Simplifying the expression inside the integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [x^2 + (y - 2)^2 + 1] dy dx

Integrating the inner integral with respect to y:

V = ∫ from x = -2 to 2 [x^2(y) + ((y - 2)^3)/3 + y] evaluated from y = 0 to 3 dx

Substituting the limits of integration for y:

V = ∫ from x = -2 to 2 [x^2(3) + (3 - 2)^3/3 + 3 - (x^2(0) + (0 - 2)^3/3 + 0)] dx

Simplifying further:

V = ∫ from x = -2 to 2 [3x^2 +2/3] dx

Integrating the final integral with respect to x:

V = [(x^3) + (2/3)x] evaluated from x = -2 to 2

Evaluating the expression at the limits:

V = [(2^3) +(2/3) 2] - [((-2)^3) + (2/3)(-2)]

V = (8 +4/3) - (-8 - 4/3)

V = 16+8/3

V =56/3

Final Answer:Therefore, the volume of the solid enclosed by the paraboloid and the given planes is 56/3 cubic units.

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The volume of the solid enclosed by the paraboloid and the planes is 18.67 cubic units.

To calculate the volume of a solid bounded by surfaces using triple integration, we set up a triple integral with the integrand equal to 1, representing the infinitesimal volume element. The bounds of integration are determined by the equations defining the surfaces that enclose the solid. By evaluating the triple integral over the specified region, we can find the volume of the solid.

Body of the Solution: To find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 3, we can set up a triple integral in the given region.

To find the  volume,using the triple integral:

V = ∫∫∫ R (1) dz dy dx

where R is the region bounded by the given planes and the paraboloid.

The bounds of integration for x are -2 to 2, for y are 0 to 3, and for z are the lower bound function z = 1 and the upper bound function z = 2 + x^2 + (y - 2)^2.

Setting up the triple integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 ∫ from z = 1 to 2 + x^2 + (y - 2)^2 (1) dz dy dx

Integrating the innermost integral with respect to z:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [(2 + x^2 + (y - 2)^2) - 1] dy dx

Simplifying the expression inside the integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [x^2 + (y - 2)^2 + 1] dy dx

Integrating the inner integral with respect to y:

V = ∫ from x = -2 to 2 [x^2(y) + ((y - 2)^3)/3 + y] evaluated from y = 0 to 3 dx

Substituting the limits of integration for y:

V = ∫ from x = -2 to 2 [x^2(3) + (3 - 2)^3/3 + 3 - (x^2(0) + (0 - 2)^3/3 + 0)] dx

Simplifying further:

V = ∫ from x = -2 to 2 [3x^2 +2/3] dx

Integrating the final integral with respect to x:

V = [(x^3) + (2/3)x] evaluated from x = -2 to 2

Evaluating the expression at the limits:

V = [(2^3) +(2/3) 2] - [((-2)^3) + (2/3)(-2)]

V = (8 +4/3) - (-8 - 4/3)

V = 16+8/3

V =56/3

Therefore, the volume of the solid enclosed by the paraboloid and the given planes is 56/3 cubic units.

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Answer:

24960(y-1)

I'm so glad to help you with this question hope you get it

Answer:

a rash

Step-by-step explanation:

The value of angle ADO in the rectangle is 62°.

From the information, angle BOC = 56°

In a rectangle, there are two congruent diagonals.

Therefore DO = AO

angle ADO = angle DAO

angle DOA = 56° (vertical opposite angles)

sum of all three interior angles in a triangle = 180°

angle ADO + angle DAO + angle DOA = 180°

angle ADO + angle ADO + 56° = 180°

2angleADO = 180° - 56°

2angleADO = 124°

Divide

angle ADO = 124/2

angle ADO = 62°

Hence, the measure of angle ADO = 62°

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Answer:

s = 47

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles

s+45 = s+6  + s-8

Combine like terms

s+45 = 2s-2

Subtract s from each side

s+45-s =2s-2-s

45 =s-2

Add 2 to each side

45+2 = s-2+2

47 =s

Answer:

c

Step-by-step explanation:

The absolute value is both the negative and positive values.

Answer:

w = P/2 − L

Step-by-step explanation:

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

2 Liter units of Dr. pepper is equal to 2000 milliliters.

What is a unit?

A unit is a standard quantity used to measure a physical or abstract property or phenomenon. Units are used to express numerical values and to communicate measurements in a standardized way. In science, engineering, and mathematics, it is essential to use standard units to ensure that measurements are accurate, reliable, and comparable.

There are different types of units, including base units, derived units, and SI units. Base units are fundamental units that cannot be expressed in terms of other units, such as the meter (for length), the kilogram (for mass), and the second (for time). Derived units are units that are created by combining base units, such as the newton (for force) which is derived from the kilogram, meter, and second. SI units (International System of Units) are a standardized set of units that are used in most countries around the world, and they include both base units and derived units.

Now,

One liter is equivalent to 1000 milliliters.

So, 2 liters would be equivalent to:

2*1000 mL = 2000 mL

So,

      Patrick's 2L Dr. Pepper is equivalent to 2000 milliliters.

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The area under the curve of the function from x = 1 to x = 13 is -36 square units for both overestimation and underestimation.

The height of the second rectangle is f(4), the height of the third rectangle is f(7), and the height of the fourth rectangle is f(10). Overestimate using an upper sum: The area under the curve of the function from x = 1 to x = 13 is to be overestimated using an upper sum. An upper sum is the sum of the areas of the rectangles where the height of each rectangle is the maximum value of the function in the interval of the rectangle. The upper sum is given by: `upper sum = f(1)Δx + f(4)Δx + f(7)Δx + f(10)Δx`. The height of the rectangle starting at x = 1 is f(1) = -13 + 14(1) - (1)² = -12. The height of the rectangle starting at x = 4 is f(4) = -13 + 14(4) - (4)² = 3. The height of the rectangle starting at x = 7 is f(7) = -13 + 14(7) - (7)² = -20. The height of the rectangle starting at x = 10 is f(10) = -13 + 14(10) - (10)² = 17. Thus, `upper sum = (-12)(3) + (3)(3) + (-20)(3) + (17)(3) = -36 + 9 - 60 + 51 = -36`. Therefore, the overestimated area under the curve of the function from x = 1 to x = 13 is -36 square units.

Underestimate using a lower sum: The area under the curve of the function from x = 1 to x = 13 is to be underestimated using a lower sum. The minimum value of the function in the interval of the rectangle starting at x = 7 is f(7) = -20. The minimum value of the function in the interval of the rectangle starting at x = 10 is f(10) = 17. Thus, `lower sum = (-12)(3) + (3)(3) + (-20)(3) + (17)(3) = -36 + 9 - 60 + 51 = -36`. Therefore, the underestimated area under the curve of the function from x = 1 to x = 13 is -36 square units.

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Answer: n= 3/2

yes!

Step-by-step explanation:

calculate the sum 4n-6=6n-9

move the varaible to the left hand side and change its sign

4n-6n-6=-9

collect terms -2n=-9+6

dive both sides of the equation by -2

ANSWER  n=3/2        

3 is ontop and 2 is on the bottom

Answer:

\(h = \frac{4}{n}\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable.

Hence, you get the following answer:

\(h = \frac{4}{n}\)

Answer:

3/10 (30%)

Step-by-step explanation:

There are 3 groups out of 10 group of 4 kittens where most are male. 2/10 = 30%.

Answer: 30%

Step-by-step explanation:

Answer:

(5,4) is the distance between when you count manually or subtract.

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

There are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.

a. Choosing 2 objects at a time without repetition and with order counting: The ordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and with order counting are: ab, ac, ad, ae,

ba, bc, bd, be,

ca, cb, cd, ce,

da, db, dc, de,

ea, eb, ec, ed.

b. Choosing 2 objects at a time without repetition and without order counting: The unordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and without order counting are: ab, ac, ad, ae,

bc, bd, be,

cd, ce,

de.

c.Choosing 2 objects at a time with repetition: In this case, we can choose any of the 5 objects for the first position, and any of the 5 objects (including repetition) for the second position.

Therefore, there are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.

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