(3x+43)^((2)/(3))+22=38

Answer:

√2' = t

Step-by-step explanation:

1 1/2s = 3/5t^2 + 1/3u^2; substitute known values

1 1/2 • 28 = 3/5 • t^2 + 1/3 • -6^2; simplify

42 = 3 • t^2 ÷ 5 + 1/3 • 36

42 = 3 • t^2 ÷ 5 + 12; apply property of subtraction of equality

42 – 12 = 3t^2 ÷ 5 + 12 – 12; simplify

30 = 3t^2 ÷ 5; apply property of multiplication of equality

30 • 5 = 3t^2 ÷ 5 • 5; simplify

6 = 3t^2; apply property of division of equality

6 ÷ 3 = 3t^2 ÷ 3; simplify

2 = t^2

√2' = t

Answer:

A line segment is part of a line that has two endpoints and is finite in length. A ray is a line segment that extends indefinitely in one direction.

Step-by-step explanation:

hope it helps you and give me a brainliest

Answer:

A ray goes in one direction for forever, and also has an arrow.

A line segment is a segment, meaning that it has two end points and doesn't go on forever, it ends.

Step-by-step explanation:

The flow rate to produce the balls is 12.5in/s and 1.25in/s

The number of toys = 100

The increase in radius = 1inch/sec

5 toys are going to increase by 0.5 radius

The rate flow to produce the balls

5x100 = 500

Rate flow = 500 x 0.5³ / 5

= 12.5inch/s

Time = 10 seconds x 5 = 50 seconds

radius = 0.5 inches

Flow rate = 50 * 0.5³/5*10

= 1.25 inches/s

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Answer:

1. c. statistical inference

19. d. statistical inference

20. b. relative frequency distribution

A triangle is a three-edged polygon with three vertices. The length of a side of the regular hexagon is √24 inches.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

Given the perimeter of the equilateral triangle is 36 inches, therefore, the length of the side of the equilateral triangle is 12 inches. Now, the area of the equilateral triangle is,

Area of the equilateral triangle = (√3)/4 a²

                                                   = (√3)/4 × (12)²

                                                   = (36√3) inches²

Since the area of the equilateral triangle is equal to the area of the hexagon , therefore we can write,

Area of equilateral triangle = Area of Hexagon

(36√3) = (3√3)/2× a²

a² = 24

a = √24 inches

Hence, the length of a side of the regular hexagon is √24 inches.

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When two straight lines or rays intersect at a shared endpoint, an angle is generated.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

The angle can be drawn as shown below. The angle 30°, 150°, 210°, and 330° will lie in 1st, 2nd, 3rd, and 4th quadrants respectively.

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If the sec θ is not defined, then the value of angle θ will be (2n + 1)π/2.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The  trigonometric expression is given below.

⇒ sec θ

If the sec θ is not defined, then the value of angle θ will be (2n + 1)π/2.

Where n is the any integer.

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Inequalities help us to compare two unequal expressions. The statements that are correct are B, D, and E.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is:

Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply.

-The slope of the line is –2.

-The graph of y >3/4 x – 2 is a dashed line.

-The area below the line is shaded.

-One solution to the inequality is (0, 0).

-The graph intercepts the y-axis at (0, –2)

-The slope of the line is 3/4. Thus, the first statement is false.

-The graph of y >3/4 x – 2 is a dashed line. The given statement is true.

-The area below the line is shaded. The statement is false.

-One solution to the inequality is (0, 0). The given statement is true.

-The graph intercepts the y-axis at (0, –2) The statement is true.

Hence, the statements that are correct are B, D, and E.

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Answer:

33.17 (A)

Step-by-step explanation:

the square root of 22 times (5x the square root of 2)

is 33.17 rounded to the nearest 10th

and 10 x the square root of 11 is 33.17

(they match)

The table of values of the function y = 2x^2 is:

x  0   1   2   3   4

y  0   2  8   18   32

The equation of the function is given as:

y = 2x^2

When x= 0, we have

y = 2 * 0^2 = 0

When x= 1, we have

y = 2 * 1^2 = 2

When x= 2, we have

y = 2 * 2^2 = 8

When x= 3, we have

y = 2 * 3^2 = 18

When x= 4, we have

y = 2 * 4^2 = 32

So, the table of values is:

x  0   1   2   3   4

y  0   2  8   18   32

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Step-by-step explanation:

you must have made a typo here.

none of the answer options are correct for the given problem.

let me just show you what you told me, and how I can solve at least this :

2a/4 = b/4

this simply means (multiply both sides by 4) :

2a = b

so, 5b is then (multiplying both sides by 5) :

5×2a = 5b

10a = 5b

but again, "10a" is not among the offered answers.

so, I don't know if you made a mistake with the basic problem or with the answer options.

Answer:

6x - 7

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12x + 6x - 21 ) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4x + 2x - 7 ← collect like terms

= 6x - 7

Hey there!

ORIGINAL EQUATION:

1/3(12x + 6x - 21)

COMBINE the LIKE TERMS

= 1/3(18x - 21)

DISTRIBUTE 1/3 WITHIN the PARENTHESES:

= 1/3(18x) + 1/3(-21)

SIMPLIFY:

= 6x - 7

Therefore, the answer should be:

6x - 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

4j8rd⁸8xud4 ex fiiu8rftsuf

Answer:

3/4 in decimal form is 0.75.

Step-by-step explanation:

I hope this helps! :)

Answer:

0.75

Step-by-step explanation:

3/4 is expressed as 0.75 in the decimal form.

to make a fraction into a decimal you just divide the numerator by the

denominator.

and the numerator is the part of a fraction that is above the line

denominator is at the bottom

so 3 / 4 = 0.75

3/4 in decimal form is 0.75

Hope This Helped

The quadrants is tan⁻¹x restricted is A. Quadrants I and IV

To answer the question, we need to know what tan⁻¹x is.

tan⁻¹x is the inverse trigonometric function of tanx, which is the value of the angle for tanx.

To find the quadrants in which tan⁻¹x is restricted, we know that tanx lies in the range

-∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°.

tan⁻¹x lies between quadrant I and IV

So, the quadrants is tan⁻¹x restricted is A. Quadrants I and IV

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In the given figure, the length of BC is 6.66 cm and the length of DC is 5.33 cm

From  the question, we are to determine the length of BC and DC

Considering the diagram,

First, we will determine the measure of angle A

Using SOH CAH TOA

We can write that

[tex]sin A = \frac{4}{5}[/tex]

sin A = 0.8

∴ A = sin⁻¹(0.8)

A = 53.13°

Now, we will determine the measure of angle C

∠A + ∠ABC + ∠C = 180° (Sum of angles in a triangle)

53.13° + 90° + ∠C = 180°

∠C = 180° - 90° - 53.13°

∠C = 36.87°

Also,

Using SOH CAH TOA

[tex]tan C = \frac{BD}{DC}[/tex]

[tex]tan36.87 ^\circ=\frac{4}{DC}[/tex]

[tex]0.7500 = \frac{4}{DC}[/tex]

[tex]DC = \frac{4}{0.75}[/tex]

DC = 5.33 cm

By the Pythagorean theorem,

/BC/² = /BD/² + /DC/²

/BC/² = 4² + 5.33²

/BC/² = 16 + 28.4089

/BC/² = 44.4089

/BC/ = √44.4089

/BC/ = 6.66 cm

Hence, the length of BC is 6.66 cm and the length of DC is 5.33 cm

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Answer:

[tex] 4x^2y\sqrt[4]{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt[4]{768x^8y^5} = [/tex]

[tex] = \sqrt[4]{256 \times 3(x^2)^4y^4y} [/tex]

[tex] = \sqrt[4]{4^4 \times 3(x^2)^4y^4y} [/tex]

[tex] = 4x^2y\sqrt[4]{3y} [/tex]

Answer:

[tex]\dfrac 32[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]

Answer:

B

Step-by-step explanation:

The only value that is in the domains of both functions is 0. The range of g(x) is all values less than or equal to 0. Then the correct options are C and F.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph of f(x) = √x is reflected across the x-axis and then across the y-axis to create the graph of function g(x).

Then the function g(x) will be

g(x) = -√(-x)

The domain of the f(x) and g(x) will be [0, ∞) and (-∞, 0] respectively.

The range of g(x) will be (-∞, 0].

The only value that is in the domains of both functions is 0.

The range of g(x) is all values less than or equal to 0.

Then the correct options are C and F.

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Answer:

C AND F

Step-by-step explanation:

Edge 2023

Answer:

  1.962×10^8 cm

Step-by-step explanation:

The area and perimeter formulas can be use to find the perimeter of this rectangle, given its area and the length of one side.

  A = LW

  P = 2(L +W)

__

Solving the area formula for width, we have ...

  W = A/L

Using that in the perimeter formula, we find the perimeter to be ...

  P = 2(L +W) = 2(L +A/L)

Using the given values for area and length, we find the perimeter is ...

  P = 2(9.2×10^7 +5.612×10^14/(9.2×10^7)) = 1.962×10^8 . . . cm

The perimeter of the rectangle is 1.962×10^8 cm, or 1962 km.

_____

Additional comment

The width is 6.1×10^6 cm, or 0.61×10^7 cm. Then the sum of length and width is (9.2 +0.61)×10^7 = 9.81×10^7 cm. The perimeter is twice that, or 19.62×10^7 cm = 1.962×10^8 cm. 1 km = 10^5 cm, so this is 1.962×10^3 km, or 1962 km.

Your scientific calculator or spreadsheet can use and present numbers in scientific notation directly. The "E" notation is used in place of "×10^". (This notation is an artifact of the earliest computer languages.)

Answer:

Probability=number of specific outcomes/total of all possible outcomes

There are 5 blue marbles and a total of 15 marbles.

So the probability of drawing a blue marble from the jar is:

5/15

1/3

Step-by-step explanation:

Hope this helps

Answer:

I think 40.

Step-by-step explanation:

The required ratio or scale will be 5cm o the map represent 20km on land

Scaling is a way of enlarging or reducing the figure on an xy-plane. Given the conversion rate;

Given the following

distance between 2 towns is 20km

The distance on map is 5cm. The required ratio or scale will be 5cm o the map represent 20km on land

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Answer: A

It has a negative gradient.

Hope this helps :))

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Answer:

Step-by-step explanation:

Remark

You can read the y intercept right off the graph. Follow the y axis upwards until the line intercepts the y axis. I think you will find it is at 0,5

So far what you know is

y = mx + 5

Finding m is a little harder. I would use 6,0 and 0,5 as the two points that will define m.

Givens

x1 = 6

x2 = 0

y1 = 0

y2 = 5

Equation

m = (y2 - y1) / (x2 - x1)           Put the givens into this equation.

Solution

m = (5 - 0) / (0 - 6)

m = 5/-6

m = - 5/6

Answer

The line is

y = -5/6 x + 5

The area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

Note that:

The area of an Equilateral triangle is expressed as A = ((√3)/4)a²

Where a is the dimension of the side.

The area of an Isosceles triangle is expressed as A = (ah)/2

Where a is the dimension of the base and h is the height.

The area of a Right angled triangle is expressed as A = (ab)/2

Where a and b is the dimension of the two sides other than the hypotenuse.

For the Equilateral triangle.

Given that;

A = ((√3)/4)(5.4mm)²

A = ((√3)/4)( 29.16mm² )

A = 12.6mm²

Area of the Equilateral triangle is 12.6mm²

For the Isosceles triangle.

Given that;

The height h is the imaginary line drawn upward from the center of a.

First, we calculate the height using Pythagorean theorem

x² = y² + z²

Where x = b = 5.9in, y = a/2 = 3.4in/2 = 1.7in, and z = h

(5.9in)² = (1.7in)² + h²

34.81in² = 2.89in² + h²

h² = 34.81in² - 2.89in²

h² = 31.92in²

h = √31.92in²

h = 5.65in

Now, the area will be;

A = (ah)/2

A = (3.4in × 5.65in )/2

A = 19.21in²/2

A = 9.61in²

Area of the Isosceles triangle is 9.61in².

For the Right angled triangle

Given that;

A = (ab)/2

A = ( 8.2yds × 4.1yds)/2

A = ( 33.62yds²)/2

A = 16.81yds²

Area of the Right angled triangle is 16.81yds²

Therefore, the area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

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Answer:

The answer is C. Quadrant 3.

Step-by-step explanation:

Looking up a Unit Circle. We can see that 5pi/4 is in quadrant 3.

5pi/4 is also if in degree angle as 225°