Select all the correct answers.

DiKsa [7]

Answer:

They are both the same at 3/4 of an hour

Step-by-step explanation:

We have a system of equations here. The first one is for Friday:

3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.

The second equation is for Saturday:

9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.

We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:

-9A - 15B = -18

9A + 7B = 12

You can see that the A's are eliminated, and adding what remains leaves us with

-8B = -6 so

B = 3/4 hour

Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:

9A + 7(.75) = 12 and

9A + 5.25 = 12 and

9A = 6.75 so

A = .75 which is also 3/4 of an hour

8 0

3 years ago

Define the points P(negative 4−4,negative 2−2) and Q(33,negative 4−4). Carry out the following calculation. Find two vecto

slega [8]

Answer:

The required vectors are $u=$ and $v=$ .

Step-by-step explanation:

Given information: P(-4,-2) and Q(3,-4).

We need to find the two vectors parallel to $\overrightarrow {QP}$ with length 2.

If $A(x_1,y_1)$ and $B(x_2,y_2)$ , then

$\overrightarrow {AB}=$

$|\overrightarrow {AB}|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above formula we get

vector QP is,

$\overrightarrow {QP}==$

Magnitude of vertor QP is,

$|\overrightarrow {QP}|=\sqrt{(-4-3)^2+(-2-(-4))^2}$

$|\overrightarrow {QP}|=\sqrt{(-7)^2+(2)^2}$

$|\overrightarrow {QP}|=\sqrt{49+4}$

$|\overrightarrow {QP}|=\sqrt{53}$

Using vector is

$\widehat {QP}=\frac{\overline {QP}}{|\overline {QP}|}$

$\widehat {QP}=\frac{1}{\sqrt{53}}$

$w=\widehat {QP}=\frac{1}{\sqrt{53}}$

Multiply vector w by 2 to get a parallel vector parallel of QP in same direction.

$u=2w=$

Multiply vector w by -2 to get a parallel vector parallel of QP in opposite direction.

$v=-2w=$

Therefore the required vectors are $u=$ and $v=$ .

8 0

2 years ago

What is the solution to the equation? round your answer to two decimal places. 6•e^x=25

wolverine [178]

Answer:

A

Step-by-step explanation:

Given

6 $e^{x}$ = 25 ( divide both sides by 6 )

$e^{x}$ = $\frac{25}{6}$

Take the ln of both sides

ln $e^{x}$ = ln ( $\frac{25}{6}$ ) , hence

x lne = ln ( $\frac{25}{6}$ ) ← note ln e = 1

x = ln ( $\frac{25}{6}$ ) ≈ 1.43 → A

7 0

2 years ago

Hiya! Can you guys help me? For all the four questions? It would mean a lot to me, thank you! I also ask if you guys can explain

Bess [88]

Answer:

A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units

Step-by-step explanation:

1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.

A = πr²

A = (3.14)(3)²

A = (3.14)(9)

A = 28.26 cm², like in your work.

2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.

P = 2l + 2w

P = 2(12) + 2(7)

P = 24 + 14

P = 38 units

3) The formula for a triangle's area is A = $\frac{1}{2}$ bh, so we substitute for b = 10 and h = 4.

A = $\frac{1}{2}$ bh

A = $\frac{1}{2}$ (10)(4)

A = $\frac{1}{2}$ (40)

A = 20 units²

4) Circumference is 2πr, and we substitute for r = 7.

C = 2πr

C = 2(3.14)(7)

C = (3.14)(14)

C = 43.96 units

6 0

2 years ago

Why are 4/10 and 4/100 not equal?

Mrrafil [7]

The same reason 4 dimes and 4 pennies aren't equal.

To put it into decimal terms, 4/10 is 0.40 (or forty cents), whereas 4/100 is 0.04 (or four cents)

6 0

2 years ago