If the volume of this rectangular prism is 385 cubic inches, what is the value of x?
(x - 2) in.
xin.
W + 4) in
X
inches

Answer:

C

Step-by-step explanation:

hyp² = opp² + adj²

10² = 8² + x²

Answer:

80%

Step-by-step explanation:

You multiple .8 by 100 to find percentage, giving you 80%.

Answer:

i don’t know

Step-by-step explanation:

I don’t know

The average rate of change of the function over the interval x = 0 to x = 4 is: 61/400.

Average rate of change = f(b) - f(a) / b - a

Given the function, f(x) = 2x - 1 / 3x + 5.

a = 0, f(a) = 2x - 1 / 3x + 5 = 2(0) - 1 / 3(0) + 5 = -1/5

b = 4, f(b) = 2x - 1 / 3x + 5 = 2(4) - 1 / 3(4) + 5 = 7/17

Average rate of change = 7/17 - (-1/5) / 4 - 0 = 61/400

Learn more about average rate of change on:

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Answer:

<r=29

Step-by-step explanation:

Answer: 84

Step-by-step explanation:

Answer:

Surface Area = 130 sq ft

Step-by-step explanation:

If you don't have a picture, draw a picture so you can see what's up. See image. Surface area is the area of all the faces of a 3d shape (a solid) all added up. This solid is a box. It has six faces. Each face is a rectangle. The top and bottom are the same. The front and back are the same. The left and right sides are the same. See image.

Area of a rectangle is:

A = l × w

Area of the top:

5 × 10 = 50

Area of the bottom also 50.

Area of the left side:

1 × 5 = 5

Area of the right side is also 5.

Area of the front:

1 × 10 =10

Area of the back is also 10.

ADD up all 6 areas:

50+50+5+5+10+10

Surface area = 130

Area has square units.

SA = 130 square ft

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate its surface area ~

[tex] \sf SA = Area (2 × \triangle) + Area ( three \: \square)[/tex]

[tex] \sf SA =(2 \cdot \dfrac{1}{2} \cdot8 \cdot6 ) + (7 \cdot10) + (7 \cdot 8) + (7 \cdot6)[/tex]

[tex] \sf SA =(48 ) + (7 0) + (56) + (42)[/tex]

[tex] \sf SA =216 \: m {}^{2} [/tex]

                  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

              The quotient of b and 3 is greater than or equal to 19.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

           ✥First, the word "quotient" indicates that we divide.

Here we have "the quotient of b and 3", so we divide b by 3:-

[tex]\hookrightarrow[/tex][tex]\sf{b\div3}[/tex]

Now, this expression is greater than or equal to 19:-

[tex]\sf{b\div3\geq 19}[/tex]

How to Solve for b

✳︎ Multiply by 3 on both sides:-

[tex]\sf{b\geq 19\times3}[/tex]

On simplification,

[tex]\sf{b\geq 57}[/tex]

So the values of b greater than or equal to 57 will make this inequality true.

Let's solve another one.

✳︎ A number y increased by 5 is at least -21.

First, "increased" means we add 5.

Since y is increased by 5, we add 5 to y:-

[tex]y+5[/tex]

Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to  -21, which looks as follows:-

[tex]\sf{y+5 \geq -21}[/tex]

[tex]\rule{300}{1}[/tex]

[Solving for y]

Subtract 5 on both sides:-

[tex]\sf{y \geq -21-5}[/tex]

On simplification,

[tex]\sf{y \geq -26}[/tex]

So the values of y greater than or equal to  -26 will make this inequality true.

             - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer and step-by-step explanation:

[tex]28v^3 +16v^2-21v-12 =[/tex] collecting [tex]4v^2[/tex] in the first two terms and [tex]-3[/tex] in the last two:

[tex]4v^2(7v+4)-3(7v+4) =[/tex] collecting the bracket

[tex](7v+4)(4v^2-3)[/tex]

Bonus stage: if you are factoring over the real numbers and not over the rational, the second brackets is a difference of squares. Else, you stop  here.

[tex](7v+4)(2v+\sqrt3)(2v-\sqrt3)[/tex]

NEXT!

[tex]49x^3-35x^2+56x-40=[/tex]As before, [tex]7x^2[/tex]in the first two, and [tex]8[/tex] in the last two:

[tex]7x^2(7x-5)-8(7x-5)[/tex] collecting the bracket again

[tex](7x-5)(7x^2-8) =[/tex]again, bonus step

[tex](7x-5)(\sqrt7 x +2\sqrt2) (\sqrt7x-2\sqrt2)[/tex]

FINALLY!

[tex]24r^3-64r^2-21r+56 =\\8r^2(3r-8) -7(3r-8)=\\(3r-8)(8r^2-7) =[/tex]Again, bonus step

[tex](3r-8)(2\sqrt2r+\sqrt7)(2\sqrt2r-\sqrt7)[/tex]

Since usually most courses talk about factorization of polynomials BEFORE talking about real numbers, I would stop at the third stage, skipping the fourth.

Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square on the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.

longest side = 50 ⇒ 50² = 2500

16² + 14² = 256 + 196 = 452

since 452 ≠ 2500 then the triangle is not right

A triangle has sides of lengths 16,14 and 50. Is the triangle right angle triangle?

We will solve this question using Pythagoras theorem.

We know,

[tex] \small \boxed{\rm{ c² = a² + b²}}[/tex]

[tex] \small\rm{Where,} [/tex] [tex]\small\sf{ c > a \: and \: c > b}[/tex]

[tex] \small\sf{ 50² = 16² + 14²}[/tex]

[tex]2500 = 256+ 196[/tex]

[tex]2500≠452[/tex]

[tex] \small\bf{ c² ≠ a² + b²}[/tex]

Hence, the triangle is not a right-angled triangle.

Answer:

Table B

Step-by-step explanation:

A function is present when x-value can only have a single y-value.

Answer:

IQR = 9

Step-by-step explanation:

Q3 = 24

Q1 = 15

24-15=9

Give brainliest, please!

Hope this helps :)

Answer:

total price = 100*80 = 8000

donated = 10 *80 = 800

sold = 90*88 = 7290

pofit = cp - sp

cp = 8000 sp = 7290

= 710

Step-by-step explanation:

165 total students in art club. 100 of those got the requested class.

100/165 = 0.6061

335 total students not in art club. 265 got the requested class.

265/335 = 0.7910

the probability was higher for kids not in art club, so all students had an equal opportunity.

Answer:

6 one rupee and 12 two rupee coins.

Step-by-step explanation:

If the number of rupee coins is x then the number of 2 rupee coins is 2x.

x +  2*2x = 30

5x = 30

x = 6.

Answer:

  y = 3x -4

Step-by-step explanation:

The two pairs of x and y values are used to find the slope of the line. That and one of the pairs is used to find the y-intercept. These values are put into the slope-intercept equation to give the equation of the line through the two points.

__

Each (x, y) pair represents a point on a graph. The slope-intercept equation for a line relates all the (x, y) pairs that lie on the line. That equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

The slope is the "steepness" of the line. It is positive when the line goes up to the right, and negative when the line goes down to the right. It is 0 for a horizontal line.

The slope is found from (x, y) pairs using the formula ...

  m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) refer to different pairs

  m = (8 -(-1))/(4 -1) = 9/3 = 3 . . . . using the (x, y) values from the table

The y-intercept (b) is the y-value where the line crosses the y-axis. It can be found by rearranging the slope-intercept equation shown above:

  b = y - mx . . . . . . . for a line with slope m and a point (x, y) on the line

Using the first point listed in the table with the value of m we just found, we see that b is ...

  b = -1 - 3(1) = -4 . . . . . . for (x, y) = (1, -1) and m = 3

Now that we have found m=3 and b=-4 for the points in the table, we can put these values in the slope-intercept equation:

  y = mx +b

  y = 3x -4 . . . . . equation of the relationship in the table

Answer:

27

from the explanation,

let the number of maths that can be solved in 42 minutes = X

16 maths--------------25minutes

x maths --------------42 minutes

cross multiplying

X×25= 16×42

dividing bothsides by 25

25X/25 = 16×42/25

X = 672/25

X = 26.88 = 27 (approximately)

therefore 27 problems can be solved in 42 minutes

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³

the volume of a hemisphere is half the volume of a sphere, so

V = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] πr³ = [tex]\frac{2}{3}[/tex] πr³ , then

V = [tex]\frac{2}{3}[/tex] π × 3.2³

  = [tex]\frac{2}{3}[/tex] π × 32.768

  ≈ 68.63 cm³ ( to 2 dec. places )

Answer:

D. Open the compass so that the distance from the two points of the compass is wider than half the length of [tex]\over{AB}[/tex].

Step-by-step explanation:

To construct a perpendicular for [tex]\over{AB}[/tex], we must first take a compass & take the distance of its arms wider than half the length of [tex]\over{AB}[/tex].

This is done in order to get two intersecting arcs in the top & bottom of [tex]\over{AB}[/tex] so that a perpendicular bisector can be drawn through it.

After two intersecting lines are drawn below & above [tex]\over{AB}[/tex], draw a line joining these 2 points through their points of intersection. The point where it intersects [tex]\over{AB}[/tex] is the middle-most point of [tex]\over{AB}[/tex] & now a perpendicular bisector of [tex]\over{AB}[/tex] is constructed.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

Answer:

The answer is C, the total amount spent on drinks

Answer:

C) [tex]3\cdot10^{-6}[/tex]

Step-by-step explanation:

Divide the two numbers:

[tex]\displaystyle \frac{6\cdot10^{-2}}{2\cdot10^{-8}}=\frac{6}{2}*\frac{10^{-2}}{10^{-8}}=3\cdot10^{-2-(-8)}=3\cdot10^{-2+8}=3\cdot10^{6}[/tex]

Thus, C is the correct choice.

Answer:

is A

Step-by-step explanation:

Answer:

  ∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

__

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) . . . . solve for sin(B)

  sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

  B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

  m∠B ≈ 30.0°

_____

Additional comments

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.

Answer:

separate : x-4y=1
= x-2y = 10

the other one: x = 6y + 2

togetehr : x = -1 , y = -1/2

step-by-step explanation:

i don't know if they're together so ima give you the answer for them if they are and just separte answers

Answer:

$2,142

Step-by-step explanation:

7% of 18,600 is 1,302

Add this to 840 and you get a total of $2,142

Commission is $1,302

Gross pay is $840

Answer:

Step-by-step explanation:

Formula

P = 5 + 1.50n

P is the total Cost

n is the number of Km travelled.

Solution

Substitute n = 25 into the formula

P = 5 + 1.5 * 25

P = 5 + 37.5

P = 42.50

Answer

42.50 dollars for 25 km.

Answer:

64 people

Step-by-step explanation:

multiply the number by of people the precentage who have genetic mutation (divide percentage by 100 before multiplying) 0.08 x 800 = 64

Answer:

x=-2   x=-1

Step-by-step explanation:

2x^2 + 6x = -4​

Add 4 to each side

2x^2 + 6x +4= -4+4

2x^2 + 6x +4=0

Factor out 2

2( x^2 +3x+2) = 0

Divide by 2

x^2 +3x +2 =0

( x+2)(x+1) =0 ​​

Using the zero product property

x+2 =0  x+1 =0

x=-2   x=-1

Answer:

x = -1, -2

Step-by-step explanation:

Bring the constant term to the left hand side :

Divide throughout by 2 :

Splitting the middle term :

Factors obtained :

Finding the zeros :

Answer:

it's x^2+2x-8

Step-by-step explanation:

-4<x<2. I don't know how to explain since I'm not good at English

Answer:

10

Step-by-step explanation: