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3 years ago

What is the value of this expression? PLEASE HELP!!!!

Mathematics

1 answer:

Brrunno [24]3 years ago

5 0

2 X { 6 + [ 12 divided ( 3 + 1 ) ] } - 1

3 + 1 = 4

12 divided by 4 is 3

2 X { 6 + [ 3 ] } - 1

6 + 3 = 9

2 X { 9 } - 1

9 X 2 = 18

18 - 1 = 17!

17 is the answer

I used PEMDAS

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

[in order that your supposed to do]

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When sending a rectangular package through the U.S. Postal Service, the combined length and girth (perimeter of the cross sectio

weqwewe [10]

Let W = width of package
Let H = height of package
Let L = length of package

The perimeter cab be one of the following:
P = 2(L + W), or
P = 2(L + H)

The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
2(L + 10) <= 108
L + 10 <= 54
L <= 44 in

When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
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To satisfy both of these conditions requires that L <= 39 in.

Answer: 39 inches

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2 years ago

3 Solve for x. 1 14 10 56 40 " 14 56

Nesterboy [21]

Answer:

Step-by-step explanation:

the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x

solving that gives you x =12

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2 years ago

The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of

statuscvo [17]

Answer:

Step-by-step explanation:

We require to solve for n, hence

$\frac{1}{2}$ n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25

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3 years ago

Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect

prisoha [69]

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

$TQ$ X TP=TR^2$

$10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6$

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

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3 years ago

Given an acceleration vector, initial velocity u0,v0,w0 , and initial position x0,y0,z0 , find the velocity and position vectors

dsp73

Answer:

Thus we find that velocity vector at time t is

(5t+15, 5t^2/2, 4t^2)

Step-by-step explanation:

given that acceleration vector is a funciton of time and at time t

$a(t) = (5,5t, 8t)$

v(t) can be obtained by integrating a(t)

v(t) = $(5t, 5t^2/2, 4t^2)+(u_0,v_0,w_0)\\=(5t+15, 5t^2/2, 4t^2)$

Thus we use the fact that acceleration is derivative of velocity and velocity is antiderivative of acceleration.

The arbitary constant normally used for integration C is here C vector = initial velocity (u0,v0,w0)

Position vector can be obtained by integrating v(t)

Thus we find that velocity vector at time t is

(5t+15, 5t^2/2, 4t^2)

5 0

2 years ago