The equation x power 3 - 6x=72 has a solution between 4 and 5.

The Equation X Power 3 - 6x=72 Has A Solution Between 4 And 5.

Answers

Answer 1

Answer:

x power 3(x cube)- 6x -72=0 there it has change to quadratic equation x power 3(x cube)-12x+6x-72=0

Answer 2

Answer:

4.6

Step-by-step explanation:

Y needs to = 72. When x=5, Y = X3 - 6X Y = 53 - 6(5) Y = 125 - 30 = 95 95 > 72 95 is way too high so we try a lower number

When x=4 Y= X3 -6X Y = 43 - 6(4) Y = 64 - 24 Y = 40 40 < 72 40 is way too low so we try a higher number, 4.5

When x=4.5 Y = X3 - 6(4.5) Y = 4.53 - 6(4.5) Y = 64.125 64.125 < 72 64.125 is too low so we try a slightly higher number: 4.6

When x=4.6 Y = X3 - 6(X) Y = 4.63 - 6(4.6) Y = 97.336 - 27.6 Y = 69.736 69.736 < 72 69.736 is too low so we try a slightly higher number

When x=4.7 Y = X3 - 6(X) Y = 4.73 - 6(4.7) Y = 103.823 - 28.2 Y = 75.623 75.623 > 72 75.623 is too high so we should try a number in between 4.6 and 4.7

When x=4.65 Y = X3 - 6(X) Y = 4.653 - 6(4.65) Y = 100.54 - 27.9 Y = 72.64 72.64 > 72 72.64 is too high so to 1 decimal place, the solution to the equation is 4.6.


Related Questions

Solve
3x + 7 = -8
giving brainly

Answers

Answer:

x= −5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

\(3x+7=-8\\3x=-15\\x=-5\)

What value of x is in the solution set of 2x-3 > 11 - 5x?
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4
Mark this and return
Save and Exit
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Answers

2x-3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 14/7
x > 2

Answer:

x>2

Step-by-step explanation:

2x -3>11-5x

=2x+5x>11+3

=7x>14

=7x÷7>14÷7

=x>2

A(1) =5/3 a(n) =a(n-1) x-9

Answers

Step-by-step explanation:

It looks like you have provided the recursive formula for a sequence, with the initial condition of A(1) = 5/3.

To find the values of the sequence, we can use the recursion formula, which tells us that each term in the sequence is equal to the previous term multiplied by x-9. We can start by finding A(2), which will be:

A(2) = A(1) x (x-9)

A(2) = (5/3) x (x-9)

We can continue this process to find the next terms in the sequence. We can express A(3) in terms of A(2), and then A(4) in terms of A(3), and so on. Here is the general expression for A(n):

A(n) = (5/3) x (x-9)^{n-1}

So, given any value of x, we can use this formula to find the nth term in the sequence.

For example, if x=2, we can find the first few terms of the sequence:

A(1) = 5/3

A(2) = (5/3) x (2-9) = -15

A(3) = (5/3) x (2-9)^2 = 135/4

A(4) = (5/3) x (2-9)^3 = -6075/8

And so on.

Answer:

Step-by-step explanation:

Given J(x, -8) and K(-1, -5) and the graph
of l line I below, find the value of x so that
JK || l.

Given J(x, -8) and K(-1, -5) and the graphof l line I below, find the value of x so thatJK || l.

Answers

The value of x for which the points j(x, -8) and K(-1, -5) is parallel to the line l is -2

What is an intercept?

An intercept is any point on the graph where the line or curve touches the x or y axes.

If the intercept is on the y-axis the coordinate of x is 0 and if the intercept is on the x-axis the coordinate of y is 0.

For the line l, the coordinates of the marked points are (0, 2) and (-2, -4)

The slope of the line is \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

\(x_{1}\) = 0, \(x_{2}\) = -2 , \(y_{1}\) = 2, \(y_{2}\) =-4

Slope of the line = -4 -2 / -2 - 0

slope = -6/-2

slope(P) = 3

slope(R) for the line formed by the two points J(x, -8) and K(-1, -5)

R = -5 - -8 / -1 -x

R = 3/-1 -x

For two parallel lines, their slopes are equal, that is

R = P

3/-1 -x = 3

By cross multiplying

3(-1 -x) = 3

-3 -3x = 3

-3x = 3 + 3

-3x = 6

x = 6/-3

x = -2

In conclusion, the value of x for which JK // l is -2

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kim practices soccer each day. she made a chart of the number of shots she made and the goals she scored. find the equation that shows the relationship between s and g

Answers

Answer:4x

Step-by-step explanation:

Among fatal plane crashes that occurred during the past 70 years, 503 were due to pilot​ error, 90 were due to other human​ error, 326 were due to​ weather, 382 were due to mechanical​ problems, and 643 were due to sabotage.What is the most serious threat to aviation​ safety, and can anything be done about​ it?
A. Sabotage is the most serious threat to aviation safety. Airport security could be increased.
B. Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered.
C. Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved. D. Pilot error isPilot error is the most serious threat to aviation safety. Pilots could be better trained.

Answers

Sabotage is the most serious threat to aviation safety. Airport security could be increased.

The relative normal probability plot of aeroplane crashes is derived by using its concept:

Error of the pilot: 503/1944 = 0.258.

90/1944 erroneous by humans: 0.046.

326/1944 = 0.167 for weather.

issues with the mechanics: 382/1944 = 0.196.

643/1944 = 0.330 sabotage.

Sabotage provide the chief concern as a result of the higher relative frequency; therefore, airport security could be increased.

Define Relative Frequency.

The number of desired outcomes divided by the total number of outcomes yields a relative frequency.

The total number of accidents in this problem is provided by:

503+90+326+382+643 = 1944

Following are the relative frequencies of each cause:

Error of the pilot: 503/1944 = 0.258.

90/1944 erroneous by humans: 0.046.

326/1944 = 0.167 for weather.

issues with the mechanics: 382/1944 = 0.196.

643/1944 = 0.330 sabotage.

Due to Sabotage provide the greatest concern as a result of the increased relative frequency; therefore, airport security should be increased.

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Dakota has a piece of red ribbon that is 6.5 inches long and a piece of purple ribbon that is 2.16 inches long. How much longer is the red ribbon?

Answers

Answer:

No

Step-by-step explanation:

no

Write a porportion that you can use to convert 60 inches to centimeters

Answers

60 inches x (2.54 cm / 1 inch) = 152.4 cm

Answer:

152.4 centimeters.

Step-by-step explanation:

1 inch = 2.54 centimeters

60 inches = x centimeters

Where x is the number of centimeters equivalent to 60 inches.

To solve for x, we can set up a proportion:

1 inch / 2.54 centimeters = 60 inches / x centimeters

Cross-multiplying, we get:

1 inch * x centimeters = 2.54 centimeters * 60 inches

Simplifying, we get:

x = (2.54 cm/in) * (60 in)

x = 152.4 cm

Therefore, 60 inches is equivalent to 152.4 centimeters.

HOW DO I DO IT?! pls help this is homework and i need help and i have a test fiaday this week!

HOW DO I DO IT?! pls help this is homework and i need help and i have a test fiaday this week!

Answers

The wages earned by the worker after assembling 300 parts is $90.

What is equation?

The equals sign indicates that two expressions in a formula, also known as an equation, are equal.

Given:

The no of parts assembled by the worker, n = 250,

The wage he gets, r = $75

The wage earned to assemble one part = 75 / 250 = $0.3

So, the wage earned by worker by assembling 300 parts = 0.3 × 300 = $90

Therefore, the wage earned by the worker after assembling 300 parts is $90.

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For a system of vectors u = {(1,2,6 ); (0,-1,-5); (2,3,7); (1,0,-4) } . a. find the number of dimensions and a basis w of the subspace generated by the vector system u . b. find the parameter k to u = (2, 3, k^2+1) is a linear combination of w , and deduce [u ]w

Answers

a. The subspace generated by the vector system u has 2 dimensions. A basis for this subspace is {(1, 2, 6), (0, -1, -5)}. b. The parameter k that makes u = (2, 3, \(k^2 + 1\)) a linear combination of the basis w is k = ±√6. The coordinate vector [u]w with respect to the basis w is [u]w = (2, 1).

a. To find the number of dimensions and a basis for the subspace generated by the vector system u, we need to determine the linearly independent vectors among the given vectors. Let's perform Gaussian elimination to determine the linearly independent vectors:

Row 2 = Row 2 - 0 * Row 1

= (0, -1, -5)

Row 3 = Row 3 - 2 * Row 1

= (2, 3, 7)

Row 4 = Row 4 - Row 1

= (1, 0, -4)

Row 3 = Row 3 - 2 * Row 2

= (2, 3, 7) - 2 * (0, -1, -5)

= (2, 3, 7) - (0, -2, -10)

= (2, 5, 17)

Now, we have the following row-echelon form:

(1, 2, 6)

(0, -1, -5)

(0, 0, 0)

(0, 0, -10)

We can see that there are 2 pivot columns in this row-echelon form, which indicates that the subspace generated by the vector system u has 2 dimensions.

b. To find the parameter k such that u = (2, 3, k² + 1) is a linear combination of the basis w, we can set up the following equation:

(2, 3, k² + 1) = a(1, 2, 6) + b(0, -1, -5)

This equation gives us the following system of equations:

2 = a

3 = 2a - b

\(k^2 + 1 = 6a - 5b\)

From the first equation, we can deduce that a = 2. Substituting this value into the second equation, we get:

3 = 2(2) - b

3 = 4 - b

b = 4 - 3

b = 1

Now, we can substitute the values of a and b into the third equation:

\(k^2 + 1 = 6(2) - 5(1)\\k^2 + 1 = 12 - 5\\k^2 + 1 = 7\\k^2 = 7 - 1\\k^2 = 6\)

k = ±√6

Therefore, the parameter k that satisfies u = (2, 3, \(k^2 + 1\)) as a linear combination of the basis w is k = ±√6. The coordinate vector [u]w represents the coefficients of the linear combination of the basis vectors w that yield the vector u. Using the basis w = {(1, 2, 6), (0, -1, -5)}, we can express u as:

u = a(1, 2, 6) + b(0, -1, -5)

Substituting the values of a = 2 and b = 1, we get:

u = 2(1, 2, 6) + 1(0, -1, -5)

u = (2, 4, 12) + (0, -1, -5)

u = (2, 4, 12) + (0, -1, -5)

u = (2, 3, 7)

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Find the measure of each angle in
the problem.
RF contains noint P.

Find the measure of each angle inthe problem.RF contains noint P.

Answers

Answer:

1st option

Step-by-step explanation:

3z and 2z are adjacent angles on a straight line and sum to 180° , that is

3z + 2z = 180

5z = 180 ( divide both sides by 5 )

z = 36

Then

3z = 3 × 36 = 108°

2z = 2 × 36 = 72°

Solve the following equation: 3.3+4x=-6.9x+6.6
Round your answer to the nearest tenth.

Answers

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction

Answers

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

How to find the slope and the y-intercept?

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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a spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 21 cm to 14 cm in 30 minutes. at what rate, in cubic cm per minute, is the volume of the snowball changing at the instant the radius is 4 cm?

Answers

The rate at which the volume of the snowball is changing at the instant the radius is 4 cm is -(448*pi)/15 cubic cm/minute.

Melting Snowball Volume Rate

The volume of a sphere is given by the formula V = 4/3 * pi * r³, where r is the radius. To find the rate at which the volume of the snowball is changing, we need to take the derivative of this formula with respect to time.

First, we can start by finding the rate at which the radius is changing by using the formula :

V = (4/3) * pi * (r)³

dV/dr = 4pir²

r = 21 - (21-14)/30*t (Where t = time in minutes)

Substitute the above equation in below equation:

dV/dt = dV/dr * dr/dt

=> dV/dt = 4pi(21 - (21-14)/30*t)² * -(21-14)/30

=> dV/dt = -4pi(21 - (21-14)/30*t)² / 30

At the instant the radius is 4 cm, we can substitute the value of r = 4 in above equation,

dV/dt = -4pi(21 - (21-14)/30t)² / 30 = -4pi*(21-7)² / 30 = -4pi(14)² / 30 = -(448*pi)/15 cubic cm/minute.

Therefore, the rate at which the volume of the snowball is changing at the instant the radius is 4 cm is -(448*pi)/15 cubic cm/minute.

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a

b

c
whuch is the answer look at the picture

d

ab cwhuch is the answer look at the picture d

Answers

Answer:

Step-by-step explanation:

ab cwhuch is the answer look at the picture d

. A don Alvaro le encargaron construir un depósito de agua de 729 m3 ¿Cuánto debe medir la arista del depósito?

Answers

Answer:

a = 9m

Step-by-step explanation:

You can take the volume of the water tank as the volume of a cube.

The volume of a cube with side a is given by:

V=a*a*a = a^3

To find the value of a you do a the subject of the formula:

a=(V)^{1/3}

You replace and obtain for a:

a = (729m^3)^{1/3} = 9m

hence, the rim a of the water tank is 9m

Answer: The side of the tank is 9 m.

Step-by-step explanation: A water tank is normally a cube, which means length, width and height has the same measure.

To calculate Volume of a cube:

V = length*width*height

Knowing that volume is 729 and assuming sides are x:

x*x*x = 729

x³ = 729

x = \(\sqrt[3]{729}\)

x = 9

The volume is in cubic meters, so sides of the tank measures 9 m.

use a venn diagram to illustrate the relationships a ⊂ b andb⊂c.

Answers

the Venn diagram illustrates the relationships a ⊂ b and b ⊂ c, indicating that set a is a subset of set b, and set b is a subset of set c.

In the Venn diagram, we can represent the sets a, b, and c using overlapping circles. Let's label the circles as A, B, and C, respectively. Since a is a subset of b, the circle representing a (A) will be completely contained within the circle representing b (B). This indicates that every element in a is also an element of b.

Similarly, since b is a subset of c, the circle representing b (B) will be completely contained within the circle representing c (C). This indicates that every element in b is also an element of c.

By overlapping the circles A, B, and C, we can visually represent the relationships a ⊂ b and b ⊂ c. The overlapping portion of circles A and B represents the elements that are common to both sets a and b. The overlapping portion of circles B and C represents the elements that are common to both sets b and c.

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Sergei runs a bakery. He needs at least 175 kilograms of flour in total
to complete the holiday
orders he's received. He only has 34
kilograms of flour, SO he needs to buy more.
The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the
smallest number of bags as possible and get the amount of flour he needs.
Let F represent the number of bags of flour that Sergei buys.

Answers

Answer:

Step-by-step explanation: Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

This question is solved by proportions, using a rule of three.

He has 34 kilograms of flour.

He needs 175 kilograms.

Thus, he needs to buy 175 - 34 = 141 kilograms.

Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

\(23x = 141\)

\(x = \frac{141}{23}\)

\(x = 6.1\)

Rounding up, he needs to buy 7 bags

The reference triangles always have a leg perpendicular to the:.

Answers

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Carmen left her house and drove 11 mi north, 16 mi east, 14 mi south, 9 mi west, and 3 mi north. How far was she from home? Carmen was miles from home.​

Answers

Babbabsbsbsbsbbsbsnshahahbs

Answer:

7 mi.

Step-by-step explanation:

The table below shows Zoey's earnings on the job
How much does she make in 18.2518.25 hours?

The table below shows Zoey's earnings on the jobHow much does she make in 18.2518.25 hours?

Answers

Answer:

she is going to make $408.90 in 18.2518.25 hours

help me out please, thank you

help me out please, thank you

Answers

Answer:

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.

Step-by-step explanation:

Consider the following function. f(x) = ex x8 (a) find the intervals of increase or decrease. (enter your answers using interval notation.)

Answers

The interval of increase for the function f(x) = ex x8 is (0, ∞).

To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.

Let's find the derivative of f(x) with respect to x:

f'(x) = (ex x8)' = ex x8 (8x7 + ex)

To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).

Setting f'(x) > 0, we have:

ex x8 (8x7 + ex) > 0

The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:

8x7 + ex > 0

Now, we solve for x:

8x7 > 0

Since 8 is positive, we can divide both sides by 8 without changing the inequality:

x7 > 0

The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.

The function f(x) = ex x8 increases in the interval (0, ∞).

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Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan

Answers

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve? 00= 6x â 2 O14-1 +9= 0 OV= 90 â 1 â 2 O V27 + 6x = 2

Answers

Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.

A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.

In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.

Hence, Kristen is attempting to solve equation 0 = √(6x) - x.

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The complete question is -

Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?

a. \(\sqrt{27+6x} =x\)

b. \(0=\sqrt{6x}-x\)

c. \(\sqrt{4-x}+9=0\)

d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)

Find the area of an isosceles triangle with a vertex angle of 22 degrees and a leg length of 5. Round to the nearest tenth.

Answers

The area of the Triangle given in the question is 4.7

Area of Triangle = 1/2(base × height )

Using the vertex , we can obtain the height of the triangle thus:

sin(22 degrees) = h/5

height = 1.873

Inserting the parameters into the Area formula :

height = 1.873

base = 5

Area of Triangle = 1/2 × 5 × 1.873

Area of Triangle= 4.68

Therefore, the area of the triangle is 4.7

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Sal is trying to determine how much fabric he will need to create the kite diagrammed below. 4 triangles connect to form a kit. the 2 top triangles each have a base of 40 centimeters and a height of 33 centimeters. the bottom 2 triangles each have a base of 40 centimeters and a height of 75 centimeters.. which expressions can he use to find the total area of the kite? check all that apply. 40 times 108 73 times 115 40 times 33 40 times 75 40 times 170 80 times 108

Answers

The total area of the kite is : 40 x 108

What is a kite?

A kite is a quadrilateral with four sides and four angles.

Two sides of the quadrilateral are equal.

Analysis:

Area of 2 top triangles with 40cm base and 33 cm height = 1/2bh + 1/2bh

= bh

where b = base = 40cm  h = height = 33cm

Area of 2 top triangles = 40cm x 33cm

Area of two bottom triangles with 40cm base and 75cm height

= 40cm x 75cm

= 40cm x 75cm + 40cm x 33cm

= 40cm( 75 + 33) = 40 x 108

in conclusion, the area of the kite is 40 x 108.

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Answer:

(40)(108) & (40)(33)+(40)(75)

Option 1 & 3

Correct Answer 100%. Pls, give me brainliest. Thank You.

use the properties of integrals to verify the inequality without evaluating the integrals. 2≤ ∫1 -1 √1 x^2 dx ≤ 2√2.

Answers

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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Which is the best description of the equivalency of the two expressions?
Expression 1
5x2 - 2x-4+6x+3
Expression 2
6x2 - 6x+6-x^2+10x-7
The two expressions are not equivalent because when x=2, the two expressions do not have the same value
O The two expressions are not equivalent because when they are simplified, they do not have the same coefficients
for the x2 and x terms.
O They are equivalent because the sum of the constants is the same in both expressions.
O They are equivalent because when x = 2, the two expressions have the same value.

PLEASE HELP IM ON A TIMER I WILL GIVE BRAINLIEST

Answers

Answer: D

Step-by-step explanation:

Equivalent when u use x=2

the graph shows y=csc(x)which of the following are true of its inverse? Check all that apply.
Zeros: None
Domain: (−∞,−1] U [1,∞)
Range: [0, π]
Minimum: Negative StartFraction pi Over 2 EndFraction
Maximum: StartFraction pi Over 2 EndFraction
Increasing on (StartFraction pi Over 2 EndFraction, pi) and (pi, StartFraction 3 pi Over 2 EndFraction)

Answers

Answer:

Zeros: None

Domain: (−∞,−1] U [1,∞)

minimum: -π/2

maximum: π/2

Step-by-step explanation:

Answer: 1,2,4,5

Step-by-step explanation:

the graph shows y=csc(x)which of the following are true of its inverse? Check all that apply.Zeros: NoneDomain:
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