The question is shown clearly in the photo below. Please explain step by step.

Answer:

They will have the same volume

Step-by-step explanation:

Given the rectangular prisms above :

Prism 1 dimension = (3 * 1 1/2 * 2 1/2) inches

Prism 2 dimension = (2 1/2 * 3 * 1 1/2) inches

Recall; Volume of a rectangular prism is :

V = length * width * height

Prism 1 :

V = (3 * 1 1/2 * 2 1/2) = 11.25 in³

Prism 2 :

V = (2 1/2 * 3 * 1 1/2) = 11.25 in³

Hence, Volume of prism will be the same

Answer:

Step-by-step explanation:

[tex]arc->s\\s=r\theta={0.5diameter\theta}=0.5*6m*{2\pi\over{3}}=2\pi[/tex]

The length of the arc of a circle of diameter 6 meters subtended by a central angle of 2π/3 radians is; 8.8 meters.

The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.

angle= arc/radius

= 2π/3 radians

The diameter = 6 m

Then radius = 3 m

Length of arc = radius x central angle in radians

⇒3 x 2/3

= 2 m

= 44 / 5

= 8.8

Hence the arc of a circle is 8.8 m.

Learn more about arc of a circle here:-

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Answer:

[tex]y=-5x-6[/tex]

Step-by-step explanation:

Hi there!

In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

Now, to solve for b, plug in the given point (-2,4):

[tex]4=-5(-2)+b\\4=10+b[/tex]

Subtract 10 from both sides to isolate b:

[tex]4-10=10+b-10\\-6=b[/tex]

Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:

[tex]y=-5x-6[/tex]

I hope this helps!

Step-by-step explanation:

-12x < -12

-12x/-12= x

-12/-12= 1

x < 1

-12x < -12

Divide both sides by -12 and because you are dividing by a negative number you need to reverse the inequality sign.

The answer becomes x > 1

Answer:

y' = 14x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = 7x²

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

3619.11 or 3619.1

Step-by-step explanation:

i don't really know how to explain but that's what i got

Answer:

3,619.1 cm^3

Step-by-step explanation:

[tex]V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115[/tex]

Answer:

agree

Step-by-step explanation:

Answer:

Agree

Step-by-step explanation:

If you multiply 0.2 by 3, you get 0.6

If you multiply 0.6 by 3, you get 1.8

If you multiply 1.8 by 3, you get 5.4

If you multiply 5.4 by 3, you get 16.2

If you multiply 16.2 by 3, you get 48.6

48.6 is close to being half of the island.

Answer:

B

Step-by-step explanation:

Answer:

good night sweet dreams take care

.

please Mark me as a BRINLIEST

Step-by-step explanation:

Hey there!

Simply, ax²+bx+c = 0 is a standard quadratic equation form.

When any equation is in this form where a ≠ 0;

[tex]x = \frac{ - b \: \: \: + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Hope it helps!

Answer:

5123

Step-by-step explanation:

1425

Answer:

The median is 10

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

You must distribute exponents outside of parentheses to each

A = -5^3 × 4^3

B = multiplies each by 3 then raises 1 to the third, very off

C = just multiplied each by 3

D = very off, added by 3

Answer:

theta = 0   theta = 180

Step-by-step explanation:

sin theta = 0

sin ^-1 (sin theta) =sin^-1( 0)

theta = 0   theta = 180  for the limits of theta between 0 and 360

4x+26

Step-by-step explanation:

to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.

So, 13+13+2x+2x=4x+26

Answer:

D

Step-by-step explanation:

Answer:

Choice is D) D

Step-by-step explanation:

Got it right on Edge

Answer:

y = -1/4x + 6

Step-by-step explanation:

Answer:

y = -1/4x + 6

Step-by-step explanation:

Get y alone:

x + 4y = 24

-x = -x

4y = -x + 24

Divide:

4y = -x + 24

4 = 4

Distribute division:

y = -1/4x + 24/4

Reduce fractions:

y = -1/4x + 6

Answer:

m<5= 75° Alternate angles are equal

m<6 = 180°-75°= 105 ° Angles on a straight line adds up to 180°

In a rectangle opposite sides are equal so AB= CD

2x+8= 3x+4

3x-2x=8-4 ( combine like terms, the signs will change since they are going over opposite sides)

x= 4

To solve for BC

AD= BC

x+17 ( we know that x=4)

4+17=21

Therefore BC= 21

Answer:

11 is one 0f them

Step-by-step explanation:

11x11

Answer:

acd

Step-by-step explanation:

Answer:

2800 yd^2

Step-by-step explanation:

Faces = (1/2 (28*36)) 4 = 2016

Base = 28*28 = 784

2016 + 784 = 2800

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]3x - 4y = 8[/tex]

Required

Graph the line

First, we calculate the intercepts

Set x = 0

So:

[tex]3x - 4y = 8[/tex]

[tex]3*0 - 4y = 8[/tex]

[tex]- 4y = 8[/tex]

Divide by -4

[tex]y = -2[/tex]

So, we have:

[tex](x,y) = (0,-2)[/tex]

Next, set y = 0

So:

[tex]3x - 4y = 8[/tex]

[tex]3x - 4 * 0 = 8[/tex]

[tex]3x = 8[/tex]

Divide by 3

[tex]x = 8/3[/tex]

So, we have:

[tex](x,y) = (8/3,0)[/tex]

The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]

Here's my answer

hope it helps

Answer:

A and B

Step-by-step explanation:

Answer:

A & B

Step-by-step explanation:

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

[tex]y = 6(7x + 9)(8x - 3)[/tex]

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

[tex]7x + 9 = 0[/tex]

[tex]7x = -9[/tex]

[tex]x = -\frac{9}{7}[/tex]

So (-9/7, 0) is a zero of the quadratic function.

The other is:

[tex]8x - 3 = 0[/tex]

[tex]8x = 3[/tex]

[tex]x = \frac{3}{8}[/tex]

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.