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3 years ago

Which of the following is less than -3?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Any number less than -3, so -3.5, -4, -5, -6, -6.35368, -7, etc.

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Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the

Nady [450]

Answer:

Step-by-step explanation:

5 years

$1500(1+\frac{.06}{12})^{12*5}=2023.275229$

10 years

$1500(1+\frac{.06}{12})^{10*12}=2729.095101$

486 months:

$1500(1+\frac{.06}{12})^{486}=16935.47074$

round those as you please

5 0

3 years ago

A force of 8 N makes an angle of π/4 radian with the y-axis, pointing to the right. The force acts against the movement of an ob

Grace [21]

Answer:

a) F= 4 $\sqrt{2}$ i + 4 $\sqrt{2}$ j

b) Θ=11.3

c) The work done is 20 $\sqrt{2}$

Step-by-step explanation:

a) ||F||=8, α=π/4

Fx=||F||·sin(π/4)=8· $\frac{\sqrt{2}}{2}$

Fy=||F||·cos(π/4)=8· $\frac{\sqrt{2}}{2}$

F=Fx i + Fy j = 4 $\sqrt{2}$ i + 4 $\sqrt{2}$ j

b) We can find the value of Θ using the equation:

cos(Θ)= $\frac{F.D}{||F||||D||}$

where:

D= 3 i + 2 j

F=4 $\sqrt{2}$ i + 4 $\sqrt{2}$ j

The dot product is defined as the sum of the products of the components of each vector as:

F · D= $(4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}$

||F||= 8

||D||= $\sqrt{3^2+2^2} =\sqrt{13}$

Hence:

Θ=arccos( $\frac{20\sqrt{2} }{8\sqrt{13} }$ )

Θ=arccos(0.981)

Θ= 11.3°

c) Work is equal to:

F · D= $(4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}$ =28.3

Other way of obtainig the work is:

||F||||D||cos(Θ)

where:

||F||= 8

||D||= $\sqrt{3^2+2^2} =\sqrt{13}$

Θ=11.3°

So, ||F||||D||cos(Θ)=8× $\sqrt{13}$ ×cos(11.3°)=28.3

3 0

3 years ago

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

yaroslaw [1]

2/5 * (n - 1) < 3/5 * (n + 1)
2/5 * n - 2/5 < 3/5 * n + 3/5
- 2/5 - 3/5 < 3/5 * n - 2/5 * n
- 5/5 < 1/5 * n
- 1 < 1/5 * n /*5
- 5 < n
n > - 5

n = x

The correct result would be B) <span>x > - 5.</span>

7 0

3 years ago

Read 2 more answers

Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The

Marina86 [1]

Answer:

Step-by-step explanation:

Given that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.

G = card drawn is green

Y = card drawn is yellow

E = card drawn is even-numbered

List:

Sample space = {G1, G2, G3, G4, G5, Y1, Y2, Y3}

2) P(G) = 5/8

3) P(G/E) = P(GE)/P(E)

GE = {G2, G4}

Hence P(G/E) = 2/5

4) GE = {G2, G4}

P(GE) = 2/8 = 1/4

5) P(G or E) = P(G)+P(E)-P(GE)

= 5/8 + 3/8-2/8 = 3/5

6) No there is common element as G2 and G4

Cannot be mutually exclusive

6 0

3 years ago

A.Directions: Solve the system of equations by substitution and elimnination. Check your solutions.

Daniel [21]

Answer:

I had done already.thanks for huge point and heart.

7 0

3 years ago