Simplify:
7x3 + 5x2 – 2 = [?]
X=-1

Step-by-step explanation:

Solution:

Given,

t1( first term ) a = -15

t2( second term ) b = -9

CD(Common Difference) = ?

We know,

CD = b - a

= -9 - ( - 15 )

= -9 + 15

= 6

Now,

t1 = -15

t2 = -9

t3 = -3

t4 = 3

t5 = a + ( n - 1 )CD

= -15 + ( 5 - 1 ) 6

= -15 + 24

= 9

t50 = a + (n - 1 ) CD

= -15 + ( 50 - 1 ) CD

= -15 + 49 × 6

= -15 + 284

= 269

So the sum of t50 is 269.

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]

We have:

[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

Answer:

A. -6,-36

Step-by-step explanation:

Right on EDG 2021.

The vertex of the function f(x) = x² + 12x is (-6, -36).

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

f(x) = x² + 12x

Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))

Here, a = 1, b = 12 and c = 0

-b/2a = -12 / 2 = -6

f(-b/2a) = f(-6)

            = (-6)² + (12 × -6)

            = 36 - 72

            = -36

Hence the vertex of the given function is (-6, -36).

Learn more about Quadratic Functions here :

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Answer: It’s 5%

Step-by-step explanation:45 divided by 9 is 5 so that the answer :)

Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

Answer 10 hours

Explain

Answer:

Exponential

Step-by-step explanation:

Answer:

help me with this please

Three statements that always hold true are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

The true statement about positive and negative numbers are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

learn more about negative and positive numbers here :

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Step-by-step explanation:

8 volume

Answer:

A

Step-by-step explanation:

Answer:

[tex]A. \ \ 1.3527 \times10^6[/tex]

Step-by-step explanation:

Answer:

The answer is $26.7

Step-by-step explanation:yes

Answer:

the answer would be 10x-5

Step-by-step explanation:

Because u multiply the 5 by each number within the parentheses.

Answer:

See the attached

Step-by-step explanation:

I left last bits to you as it is about checking your understanding

Answer:

(-4,-1) and (-4,7)

Step-by-step explanation:

If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.

Answer:

DL

Step-by-step explanation:

Answer:

x = 2

4 x 4 = 16

25% of 16 = 4

2 x 2 = 4

i chose 2 bc i said it x -= 25% of the larger squares area meaning it would be 2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

First, calculate one side of your triangle like this:

[tex]A = h\frac{b}{2} \\\\A = 6 \frac{2.5}{2} \\\\A= 7.5[/tex]

You have 2 halves however, so add them to get your total area.

Answer:220

Step-by-step explanation:88/4=22 x 10= 220

Answer:

F. 625

Step-by-step explanation:

625 times 2

= 1256

round it to

= 1250

Hope this Helps

Have a nice day

Answer:

4) y=-4x

Step-by-step explanation:

The lines goes down 4 units as it moves 1 unit right.

Answer:

I'm assuming that it is a right angle triangle.

Step-by-step explanation:

0.3x0.5=0.15

0.15/2=0.075

missing length is 0.075

Answer:

A.

C.

Step-by-step explanation:

the shape is a 2d shape and is a polygon as a polygon needs at least 3 straight sides

Answer:

Step-by-step explanation:

Easy

(x^2+10x+24)(x+3)

(x^3+10x^2+24x + 3x^2+30x + 72)

x^3 + 13x^2+54x+72

[tex]x {3}^ + 13x + 54x + 72[/tex]

Answer: C

Step-by-step explanation: