I need help please :3

The steps are shown below: -5<x<1

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

|x +2 | <-3

If we take the module is positive,

x+2 -2 < -3-2

x < -5

If we take the module is negative,

-( x+2)  < -3

-x -2 < -3

-x -2 +2 < -3 +2

-x< -1

x>1

Combining the inequalities,

-5<x<1

Learn more about inequality here:

https://brainly.com/question/18521356

#SPJ1

The measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have a diagram shown in the picture.

The measure of an angle is 30 degrees shown.

The triangle is a right-angled triangle

30-60-90

Two parallel lines are shown which are intersected by a transversal.

The adjacent angle is 60 degrees.

The measure of angle θ:

θ = 90 - 60

θ = 30 degrees

Thus, the measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 16 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

If two polygons are similar, their corresponding sides ratios will be equal to each other.

[tex]\qquad \tt \rightarrow \: \cfrac{8}{16} = \cfrac{2x - 20}{24} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} = \cfrac{2x - 20}{24} [/tex]

[tex]\qquad \tt \rightarrow \: 2x - 20 = \cfrac{24}{2} [/tex]

[tex]\qquad \tt \rightarrow \: 2x = 12 + 20[/tex]

[tex]\qquad \tt \rightarrow \: 2x = 32[/tex]

[tex]\qquad \tt \rightarrow \: x = 16[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The length, width and height of the rectangular prism is ∛10

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer:

5/7 or D

Step-by-step explanation:

i just know

Answer:

Zero Slope

Step-by-step explanation:

Horizontal lines like line L have ZERO SLOPE

Answer:

2/5

Step-by-step explanation:

Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

An isosceles triangle is one with two equal-length sides. The ΔBCD is an isosceles triangle.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Given ΔABC is an isosceles triangle with side AB = AC. Therefore, as per the base angle theorem,

∠A = ∠C = 36°

Also, in ΔABC, the sum of the angles can be written as,

∠ABC + ∠BAC + ∠BCA = 180°

∠ABC + 36° + 36° = 180°

∠ABC = 108°

For ∠ABC we can write,

∠ABC = ∠ABD + ∠CBD

108° = 72° + ∠CBD

∠CBD = 36°

Now, in ΔBCD, the measure of ∠CBD and ∠DCB both equals to 36°. Therefore, we can write, that the ΔBCD is an isosceles triangle.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ1

Answer:

D

Step-by-step explanation:

factor the denominators of both fractions

x² - 16 ← is a difference of squares

= (x - 4)(x + 4)

8x + 2x² ← factor out 2x from each term

= 2x(4 + x) = 2x(x + 4)

then expression is

[tex]\frac{x^2}{(x-4)(x+4)}[/tex] + [tex]\frac{9x}{2x(x+4)}[/tex]

with LCD of 2x(x + 4)(x - 4)

Answer:

Please see the question below.

Step-by-step explanation:

In the expression "[4 x 3⁵ - 9 x (-7)]" I'm unclear if the "x" is a multiplication sign, or the variable x.  I'll assume it is the variable x in my answer.

4 x 3⁵ = 972x

- 9 x (-7) = 63x

3³ (-4² +2²)  = 27 (20) = 540

-11 = -11

========

Putting it all together:

972x + 63x + 540 -11

1035x + 529

Answer:

15/100*1800=15*1800/100=15*18=270

Step-by-step explanation:

1800-270=1530 therefore answer is 1530

Answer:

Volume = 7WH - (1/2)W^2H

Step-by-step explanation:

The base consists of the length (L) and the width (W).  It is rectangular, so the perimeter would be the sum of all four sides:

Perimeter = L + W + L +W,

or      Perimeter = 2L + 2W

We are told that 2L + 2W = 28cm     [The perimeter is 28 cm]

------

The volume of the box is given by:  

Volume = L*W*H     [Length x Width x Height]

=====

Let's rearrange the first equation and use it in the second:

2L + 2W = 28cm

2L = 28cm - 2W

L = (28cm - 2W)/2

L = (14 - W)

Now use this definition of L (14 - W) in the second equation:

Volume = L*W*H

Volume = (14 - W)/2)*W*H

Volume = (7-(1/2)W)*W*H

Volume = 7WH - (1/2)W^2H

This can also be written as:  Volume = WH(7 - (1/2)W)

Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.

Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that  

Let p represent the original number of plants in her garden.

then  total number of plants in her garden =  p³ +2

the total number of plants if p = 3 is

=3³ +2

= 29

p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

2. 7/10 ÷ 1/5 = 7/2

7/10 × 5 = 1/2

hope it helps u

Answer:

40

Step-by-step explanation:

the formula for area of a parallelogram is a = bh

you know area (a) = 160 and height (h) = 4, so:

160 = 4 * b

divide both sides of this equation by 4,

b = 40

the base is 40 meters long

Answer:

26 gm

Step-by-step explanation:

Tin is   1   out of (9+1)   = 1/10 th

1/10th * 260 gm  =   26 gm

Answer: a

Step-by-step explanation:

[tex]a^{2}=a \cdot a\\a^{2}+ab=a(a+b)[/tex]

Therefore, the HCF is a.

Answer:

a

Step-by-step explanation:

Factorizing both terms :

The HCF of the terms is a.

The surface area of the composite figure is given by 730 sq.in

Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.

It is given in the question to determine the area of the composite figure

Area of Cube is

Area = 6 * side²

Area = 6 * 4² = 96 sq.in

The surface area of the cuboid is equal to

Sum of surface area of all the sides

As the opposite sides are same

7x10x2 + 15x10x2 + 7x15x2

650 sq.in

As the surface area of the base of the cube is counted twice

Therefore it will subtracted from the total

96 + 650 - 4*4

=730 sq.in

Therefore the surface area of the composite figure is given by 730 sq.in

To know more about Composites

https://brainly.com/question/13808296

#SPJ1

Answer:

7 yds  1 ft 1 inch

Step-by-step explanation:

Quick Solve!

Side #1:

144 inches + 24 inches + 7 inches = 175 inches

Side #2:

72 inches + 18 inches = 90 inches + 6 inches = 96 inches

Conclusion:

175 inches + 96 inches = 271 inches

Answer:

⇒ 7 yds  1 ft 1 inch

Answer:

7 yards 1 foot 1 inch

Step-by-step explanation:

Adding both of them together, you get:

6 yards 3 feet 13 inches

Since 1 foot = 12 inches, and 13 inches exceeds that, add a foot to the previous 3 feet and subtract 12 from the 13 inches

Therefore: 6 yards 4 feet 1 inch

Since 1 yard = 3 feet, and 4 feet exceeds that, add a yard to the previous 6 yards and subtract 3 feet from the remaining 4 feet

Hence:

7 yards 1 foot 1 inch

Answer:

A, C, D, E, F

All the parts shown in the figure are solved.

A mathematical technique that is used to determine the possible arrangement of the objects when the sequence of selection does not matter.

Part 1

(a) When two dices are rolled the basic outcomes will be =?

Each dice has 6 outcomes and therefore 6* 6 =36

Therefore total 36 basic outcomes.

(b) Yes both the events are equally likely .

Part 2

(a) There can be 11 types of sum from 2 -12 obtained when two dices are rolled

Sum

2 1+1                                                  

3 1+2, 2+1                                          

4 1+3, 2+2, 3+1                                  

5 1+4, 2+3, 3+2, 4+1                            

6 1+5, 2+4, 3+3, 4+2, 5+1                    

7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1          

8 2+6, 3+5, 4+4, 5+3, 6+2          

9 3+6, 4+5, 5+4, 6+3                          

10 4+6, 5+5, 6+4                                  

11 5+6, 6+5                                          

12 6+6    

(b) They are not equally likely as the sum obtained is dependent on both the dice rolling.

To know more about Combination

https://brainly.com/question/19692242

#SPJ1                                      

The exponential model best represents the data is B. f(x) = 5(0.2)^x

From the table of values, we have the following points:

(x, y) = (0,5) and (1,1)

An exponential model is represented as:

y = ab^x

Substitute (x, y) = (0,5)

5 = ab^0

5 = a

This gives

a = 5

So, we have:

y = 5b^x

Substitute (x, y) = (1,1)

1 = 5b^1

This gives

5b = 1

Divide by 5

b = 0.2

Substitute b = 0.2 in y = 5b^x

y = 5(0.2)^x

Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x

Read more about exponential model at:

https://brainly.com/question/2456547

#SPJ1

Answer:

x=60

Step-by-step explanation:

x+2x=3x

180/3=60(interior angles add up to 180)

Answer:

This is the answer to your question

Answer: Answer below.

Step-by-step explanation: If x is pi, and y is 1/pi, then multiplying x by y is 1; yes. So, for y, 1 is being divided by pi. The opposite of division is multiplication. If you multiply 1/pi by pi, the pi in the denominator cancels. Just how if it is 5x = 10, dividing by 5 cancels it on the left side, and gets you x = 2.

This is general for everything. If you multiply 2 by 1/2, you get 1. This is because dividing is also like multiplying by its reciprocal. 1/2's reciprocal is 2/1, and multiplying leaves you with 1. Go and use a calculator, it's correct. Actually, any problem a/b × b/a = 1.

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are [tex]\sin \theta = \frac{2}{\sqrt{53}}[/tex], [tex]\sec \theta = -\frac{\sqrt{53}}{7}[/tex] and [tex]\tan \theta = -\frac{2}{7}[/tex].

In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:

Sine

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]     (1)

Secant

[tex]\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]     (2)

Tangent

[tex]\tan \theta = \frac{y}{x}[/tex]     (3)

If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:

Sine

[tex]\sin \theta = \frac{2}{\sqrt{53}}[/tex]

Secant

[tex]\sec \theta = -\frac{\sqrt{53}}{7}[/tex]

Tangent

[tex]\tan \theta = -\frac{2}{7}[/tex]

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are [tex]\sin \theta = \frac{2}{\sqrt{53}}[/tex], [tex]\sec \theta = -\frac{\sqrt{53}}{7}[/tex] and [tex]\tan \theta = -\frac{2}{7}[/tex].

The statement reports typing errors, correct form is shown below:

Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.

To learn more on trigonometric functions: https://brainly.com/question/6904750

#SPJ1

The reduction in price that will be applied is $200.

From the given information, the price function will be:

P - 680/(680 - 660) = (Q - 70)/(70 - 75)

P = -4Q + 960

Revenue will be:

= Price × Quantity

= (-4Q + 960)Q

= 4Q² + 960Q

Differentiating this will be Q = 120

Price will be:

= (-4 × 120) + 960

= 480

The reduced price will be:

= 680 - 480

= 200

The maximum revenue will be:

= 480 × 120

= 57600

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Answer:

B)20

Step-by-step explanation:

convert 900in to ft=75

1500/75=20boxes

Step-by-step explanation:

[tex] = 4x - 8y + 6 {x}^{2} + 3x - 5y[/tex]

[tex] = 6 {x}^{2} + (4x + 3x) + ( - 8y - 5y)[/tex]

[tex] = 6 {x}^{2} + 7x - 13y[/tex]

The answer is B.

Answer:

b.) 6x² + 7x - 13y

Explanation:

Given Expression

= 4x - 8y + 6x² + 3x - 5y

collect like terms

= 6x² + 4x + 3x -8y - 5y

combine similar terms

= 6x² + 7x - 13y