Write an equation and solve

Nine less than five times a number equals 71. Find the number

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Answer:

288π

That is exact value in terms of pi.

Step-by-step explanation:

So if the diameter is 12, the radius is 6.

The volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

Since r = 6, the volume is [tex]\frac{4}{3} * 216\pi[/tex]

Which is 288π

Answer:

904.78 is the answer

volume = 4/3 π r cubed

Answer:

x = (3 − √5) / 2, (3 + √5) / 2, and 1

Step-by-step explanation:

Using rational root theorem, ±1 are possible roots.  By trial and error, we find that +1 is a root.  Therefore, x − 1 is a factor.  Knowing this, we can use grouping or long division.  Using grouping:

x⁴ − 5x³ + 8x² − 5x + 1 = 0

x⁴ − 5x³ + 4x² + 4x² − 5x + 1 = 0

x² (x² − 5x + 4) + 4x² − 5x + 1 = 0

x² (x − 4) (x − 1) + (4x − 1) (x − 1) = 0

(x² (x − 4) + 4x − 1) (x − 1) = 0

(x³ − 4x² + 4x − 1) (x − 1) = 0

Repeating the process, possible rational roots of x³ − 4x² + 4x − 1 are ±1.  We already know -1 isn't a root.  By trial and error, we find that +1 is again a root.  Using grouping to factor:

(x³ − 4x² + 3x + x − 1) (x − 1) = 0

(x (x² − 4x + 3) + x − 1) (x − 1) = 0

(x (x − 3) (x − 1) + x − 1) (x − 1) = 0

(x (x − 3) + 1) (x − 1) (x − 1) = 0

(x² − 3x + 1) (x − 1)² = 0

To find the roots of x² − 3x + 1, we use the quadratic formula.

x = [ -(-3) ± √((-3)² − 4(1)(1)) ] / 2(1)

x = [ 3 ± √(9 − 4) ] / 2

x = (3 ± √5) / 2

So the roots are x = (3 − √5) / 2, (3 + √5) / 2, and 1.

[tex]volume = lwh \\ = 15 \times 4 \times 5 \\ = 300 {in}^{3} [/tex]

hope this helps

brainliest appreciated

Good luck! have a nice day!

Answer:

The length of the prism is

✔ 15

in.

The width of the prism is

✔ 4

in.

The height of the prism is

✔ 5

in.

The volume of the prism is

✔ 300

in.3.

Step-by-step explanation:

On EDG assignment

Answer:

D

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 1 [tex]\frac{1}{2}[/tex] -(- [tex]\frac{1}{2}[/tex] ) = - 1

d = -  2 [tex]\frac{1}{2}[/tex] - (- 1 [tex]\frac{1}{2}[/tex] ) = - 1

d = - 3 [tex]\frac{1}{2}[/tex] - (- 2 [tex]\frac{1}{2}[/tex] ) = - 1

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - [tex]\frac{1}{2}[/tex] and d = - 1 , thus

[tex]a_{n}[/tex] = - [tex]\frac{1}{2}[/tex] - 1 (n - 1) = - [tex]\frac{1}{2}[/tex] - n + 1 = [tex]\frac{1}{2}[/tex] - n , where n = 1, 2, 3, 4, ......

Answer:

a) a quadrilateral that is not a parallelogram because adding the same will make it a diamond like shape which 2 sides are parallel

Step-by-step explanation:

PLZ MARK ME BRAINLIEST!

Answer:

-0.0833

Step-by-step explanation:

Answer: 7

you cant put seven in groups of 2 , 3 , 5 ,or 6 so theres 7 pennies

Answer:

(4,-25)

Step-by-step explanation:

I graphed this on the desmos graphing calculator.

Answer: D) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x)

Answer:

D

Step-by-step explanation:

Have a good day! :D

Answer:

f(x) = |x + 1| + 1

Step-by-step explanation:

A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.

f(x) = -|x-1| -1

reflection over the x-axis:

-f(x) = (-1)*(-|x-1| -1) = |x-1| +1

reflection over the y-axis of the previous function:

-f(-x) = |-x-1| +1 = |x + 1| + 1

which is the reflection of f(x) about the origin

Faces/ Sides Shape

6 Cube

8 Octahedron

10 Pentagonal trapezohedron

12 Dodecahedron

Answer:

They are in the shape of a cube

Step-by-step explanation:

So the right answer is 8/5

Look at the attached picture

Hope it will help you

Good luck on your assignment

Think of the 2 in this problem as 2/1.

So we have 2/1 × 8/10.

Now we can cross-cancel the 2 and 10 to 1 and 5.

So we have 1/1 × 8/5 which is 8/5.

Answer:

4. (x+3)^2 =16

Step-by-step explanation:

Rewrite x^2 +6x -7 = 0 in quadratic form by compliting the square

x^2 +6x = 7 divide 6 by 2 ans square so 6/2 = 3, [tex]3^{2} = 9[/tex] add 9 on each side

x^2 +6x +9 = 7+9 =16 remember that [tex](a + b)^{2} = a^{2} +2ab + b^{2}[/tex]

[tex](x +3)^{2} = 16[/tex]

use this site if it helps for your question desmos.com

Answer:

$41

Step-by-step explanation:

If we multiply 3 times 12 equals 36 plus $5 for delivery which equals $41.

Hope this helps!!! PLZ MARK BRAINLIEST!!

Answer:

41$

Step-by-step explanation:

12$ * 3 + 5$ = 41$

(would really appreciate the brainliest)

Hi!

I'm Happy to help you today!

The answer would be B. or 42,240!

The reason is because if you do the math and all that it gives you the answer of 42,240 or B. !

-LimitedLegxnd

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-Question asker if you really liked my answer mark mine brainliest!

Answer:no

Step-by-step explanation:

A function must have each x value map onto 1 y value. The x value 11 maps to two y values (1,3)

Answer:

oh text me for more information

Step-by-step explanation:

We have been given graph of a downward opening parabola with vertex at point [tex](6.5,42.25)[/tex]. We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is [tex]f(x)=ax^2+bx+c[/tex].

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is [tex]y=a(x-h)^2+k[/tex], where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

[tex]0=-a(0-6.5)^2+42.25[/tex]

[tex]0=-a(42.25)+42.25[/tex]

[tex]-42.25=-a(42.25)+42.25-42.25[/tex]

[tex]-42.25=-42.25a[/tex]

[tex]a=1[/tex] Divide both sides by [tex]-42.25[/tex]

So our equation in vertex form would be [tex]f(x)=-(x-6.5)^2+42.25[/tex].

Let us convert it in standard from.

[tex]f(x)=-(x^2-13x+42.25)+42.25[/tex]

[tex]f(x)=-x^2+13x-42.25+42.25[/tex]

[tex]f(x)=-x^2+13x[/tex]

Therefore, the equation of function is standard form would be [tex]f(x)=-x^2+13x[/tex].

Answer:

180 in^3

Step-by-step explanation:

5•18=90in^2

90•2=180in^3

Answer:

1 to 3 and V= 1/2 Bh

Step-by-step explanation:

the pyramid is like a triangle there is three sides. There is only one way of the whole pyramid you can cut.

Step-by-step explanation:

bbbbbbbbbbbbbbb,bbbbbb

To rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]

Given the surd function:

For the surd function given, to rationalize it, we only need to multiply the numerator and denominator by √11 as shown:

[tex]=\frac{2\sqrt{10} }{3\sqrt{11} }\times \frac{\sqrt{11} }{\sqrt{11} } \\=\frac{2\sqrt{110}}{3(11)}\\= \frac{2\sqrt{110}}{33}\\[/tex]

Hence we can conclude that to rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]

Learn more about surd functions here: https://brainly.com/question/24380382

Answer:

10^-3 is 1/1000 and 2^-3 is 1/16

Step-by-step explanation

Answer:

I think the correct answer is 10^-3 1/1000 and 2^-3 is 1/16

Step-by-step explanation:

-edit: The other user copied my answer! ^_^

Answer: Each player has two rooks (formerly also known as castles), which begin the game on the corner squares a1 and h1 for White, a8 and h8 for Black.

Step-by-step explanation: Mark me as brainliest

Answer:

x<-1 and x>2

Step-by-step explanation:

The domain is the values that input can b, in this case x

X can be less than -1

x< -1  

X can be greater than 2

x>2

x<-1 and x>2

Answer:

90 kg of stone

Step-by-step explanation:

Adam has 8 x 25 = 200

19 x 22.5 = 427.5

20 x 50 = 1000

He has enough cement and sand

He needs 1090 - 1000 = 90 kg of stone

He needs 2 bags of stone

Answer: 75 tacos

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.

Answer:

30 ounces of solution A

20 ounces of solution B

Step-by-step explanation:

x ounces of solution A

y ounces of solution B

x + y = 50

0.7x  ounces  of salt in the solution A

0.95y ounces  of salt in the solution B

0.8*50 = 40 ounces of salt  in 50 ounces of 80% solution

0.7x + 0.95y = 40

x + y = 50

0.7x + 0.95y = 40

x= 50 - y

0.7(50 - y) + 0.95y = 40

35 - 0.7y + 0.95y = 40

0.25y = 5

y = 20 ounces of solution B

x = 50 - y = 50 - 20 = 30 ounces of solution A

Answer:

x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1

Step-by-step explanation:

Answer:

g(x) = |x – 1| + 3

Step-by-step explanation:

Definitely right!