Simplify the expression 4 to the power of 3 + 2(3 − 2).

Answer:

184

Step-by-step explanation:

A triangular prism has 2 triangular faces and 3 rectangular faces.

solve

Find the area of each face  1/2x6x4=12 do twice for the two sides so its 24 with them both added then 5x10=50 do it twice for the other 2 sides then you got the bottom 6x10=60 only one time because the top is not a side
Surface area

  12 + 12 + 50 + 50 + 60= 184     hope it helps

The surface area of the prism is 104 mm^2.

Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.

We are given that;

Height=4mm, Base=6mm, sides=5mm, 5mm and 6mm

Now,

Plug in the values into the formula for surface area and simplify:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base area)

Surface area = (16 × 5) + (2 × 12)

Surface area = 80 + 24

Surface area = 104 mm^2

Therefore, by the area of the triangular prism answer will be 104 mm^2.

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Step-by-step explanation:

this means :

f(x) / (x + 2) = (x² - 5x + 8) + 8/(x + 2)

f(x) = (x + 2)(x² - 5x + 8) + 8 =

= x³ - 5x² + 8x + 2x² - 10x + 16 + 8 =

= x³ - 3x² - 2x + 24

Answer:

-18

Step-by-step explanation:

Answer:

2(5m-4n-10) SEE THE IMAGE BELOW:)

Step-by-step explanation:

Factor out 2 from the expression

so the answer would be 2(5m-4n-10)

Given:

D varies as R and S, and inversely as t.

D=12, R=3, S=20, and t=5

To find:

The value of D when R=15, S=4 and t=8.

Solution:

It is given that D varies as R and S, and inversely as t. So,

[tex]D\propto \dfrac{RS}{t}[/tex]

[tex]D=\dfrac{kRS}{t}[/tex]                ...(i)

Where, k is the constant of proportionality.

We have, D=12, R=3, S=20, and t=5. Substituting these values in (i), we get

[tex]12=\dfrac{k(3)(20)}{5}[/tex]

[tex]12=12k[/tex]

[tex]\dfrac{12}{12}=k[/tex]

[tex]1=k[/tex]

Substituting [tex]k=1[/tex] in (i), we get the required equation.

[tex]D=\dfrac{(1)RS}{t}[/tex]

[tex]D=\dfrac{RS}{t}[/tex]

We need to find D when R=15, S=4 and t=8. Substituting R=15, S=4 and t=8 in the above equation, we get

[tex]D=\dfrac{(15)(4)}{8}[/tex]

[tex]D=\dfrac{60}{8}[/tex]

[tex]D=7.5[/tex]

Therefore, the required value of D is 7.5.

The  value of the given polynomial equation would be: [tex]6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]

In contrast to the vertex form of a quadratic equation, which is y = a (x h) 2 + k, the normal quadratic form is written as an x 2 + b x + c = y. The constant that indicates whether the parabola is facing up (+ a) or down ( a) is called a. It is represented in both forms by the letters y, x, and a.

In the equation we are given the value of y as: 1

[tex]6y2 + 3y - 1 4 \\\\6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]

Therefore, we can say that the value of the given polynomial is: 8

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Complete question is: Find 6y2 + 3y - 1 4 for y = 1

9514 1404 393

Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

  A = 1/2bh

  A = (1/2)(9 mm)(76 mm) = 342 mm²

The triangle shown has an area of 342 mm².

_____

Additional comment

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)

Answer:

RS = 6

Step-by-step explanation:

RS² = SU*ST (secant-tangent rule)

Substitute

(x + 6)² = (x + 4 + 5)(x + 4)

(x + 6)(x + 6) = (x + 9)(x + 4)

x(x + 6) +6(x + 6) = x(x + 4) + 9(x + 4)

x² + 6x + 6x + 36 = x² + 4x + 9x + 36

x² + 12x + 36 = x² + 13x + 36

Collect like terms

x² - x² + 12x - 13x = -36 + 36

-x = 0

x = 0

✔️RS = x + 6

Plug in the value of x

RS = 0 + 6

RS = 6

Answer:

EVALUATE THE FUCTION WHEN: f (1/2 % 32)////////21+×_37- 4 = 37.2

EVALUATE THE FUNCTION WHEN f(3+38 x + formula of angle are = _1/2 decimals point 78.32)*/% =3( 92.03

Step-by-step explanation:

HOPE IT HELPS A LOT!!

Answer:

1?

Step-by-step explanation:

im not sure im prolly wrong and not fast enough

Answer:

111 & 82

Step-by-step explanation:

888/8=111

574/7=82

Answer:

574/7=82

888/8=111

......................

Answer:

are the values of a or b given?

Step-by-step explanation:

Answer: 120° obtuse.

Step-by-step explanation:

The sum of the angles in a triangle is 180°. Since two of the angles given are 35° and 25°, the third angle will be:

= 180° - (35° + 25°)

= 180° - 60°

= 120°

This is an obtuse angle since it's greater than 90° but less than 180°

Answer:

B) x ≥ 3

Step-by-step explanation:

The circle is shaded which indicates that the inequality is equal to. The circle is on -3 and extends towards numbers that are greater than -3. Thus, all numbers are can be equal to or greater than -3.

Answer:

10

I wish you luck in your assignments.

Answer:

perimeter of a room=?

use formula,

2(L+W)

2(5.25+3.68)m

2*19.32m

38.64m

Step-by-step explanation:

Answer:

Area of parallelogram = ab sinx

a = Area/b sinx

a = 256/24 sin52

a = 10.67 sin52

a = 10.53

Perimeter  = 2(ab)

             P = 2 (10.53)(24)

             P = 252.72 x 2

             P = 505.44

Answer:

are there any other information

Answer:

Step-by-step explanation:

[tex]\sf 37-\cfrac{48}{8}[/tex]

Divide numbers ( 48/8 = 6)

Subtract numbers:-

31 is your answer!

___________________

Hope this helps!

Have a great day!

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph in opposite direction.

Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time. If an object is speeding up, it is said to have a positive acceleration, while if it is slowing down, it has a negative acceleration.

Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time. The direction of velocity is the direction of the motion of an object. The standard unit of velocity is meters per second (m/s) or miles per hour (mph).

Let's call Rahquez's speed "R" and Francesca's speed "F". We know from the problem that:

F = R + 5 (Francesca is traveling 5 mph faster than Rahquez)

We also know that after 3 hours they are 105 miles apart, so we can set up an equation using distance = speed x time:

105 = (R + F) * 3

Now we can substitute the first equation into the second equation:

105 = (R + (R + 5)) * 3

Simplifying and solving for R, we get:

R = 20 mph

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph (since F = R + 5).

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The perimeter of the new octagon be 24 feet.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter.

The length of each side of an octagon is the same. In order to calculate the perimeter of an octagon, multiply 8 by the length of its sides.

Given that the perimeter of an octagon is 27 feet

so the length of its side is 27/8 feet

if the side of the octagon shrink by a scale factor of 8/9

The side of new octagon is (27/8) * (8/9)

The side of new octagon is 3 feet.

So the perimeter of new octagon is 8 * side

⇒ the perimeter of new octagon = 8 * 3 feet

⇒ the perimeter of new octagon = 24 feet

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Answer:

792ft

Step-by-step explanation:

V=LxWxH, so all you do is do 11 times 8 times 9 to get the answer to that question

1. P=2.625

2. variable= p

3. operator= subtraction

4. constants= -10, 32

5. coefficients= 16p

6. 5w + 50 = 150    w=20

Answer:

4th one. A & C

Step-by-step explanation:

4(7x+2+x)

= 28x+ 8+ 4x

= 32x + 8

Answer:

45

Step-by-step explanation:

21 + 2w

21 + 2(12)

21 + 24

45

answer:

58

step-by-step explanation:

for this plug in,

2(17) + 2(12)

34 + 24 = 58

Answer:

do 180-36-90 and then what you get add a ° and it should be 53°

Answer:

Part A:

B) x+4x+27=180

Part B:

x = 45

Step-by-step explanation:

i helped u NOW GIB BRAINLIEST

Answer:

0.75

Step-by-step explanation:

Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]

to find the longer leg length you have: shorter leg × root 3

[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]