All categories

3 years ago

8832 divided by 42 What’s the remainder?

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

Answer: 8832 divided by 42 = 210 R 10

You might be interested in

(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla

natima [27]

Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

$\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}$

$=\sqrt{1+1}\\\\=\sqrt{2}$

calculating unit vector:

$\frac{\vec{v}}{|\vec{v}|} = \frac{-1i+1j}{\sqrt{2}}$

the point Q is at a distance h from P(6,6) Here, h=0.1

$a=-6+O.1 \times \frac{-1}{\sqrt{2}}\\\\= 5.92928 \\\\b= 6+O.1 \times \frac{-1}{\sqrt{2}} \\\\= 6.07071$

the value of Q= (5.92928 ,6.07071 )

In point b:

Calculating the directional derivative of $f (x, y) = \sqrt{x+3y}$ at P in the direction of $\vec{v}$

$f_{PQ} (P) =\fracx{f(Q)-f(P)}{h}\\\\$

$=\frac{f(5.92928 ,6.07071)-f(6,6)}{0.1}\\\\=\frac{\sqrt{(5.92928+ 3 \times 6.07071)}-\sqrt{(6+ 3\times 6)}}{0.1}\\\\= \frac{0.197651557}{0.1}\\\\= 1.97651557$

$\vec{v} = 1.97651557$

In point C:

Computing the directional derivative using the partial derivatives of f.

$f_x(x,y)= \frac{1}{2 \sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{2 \sqrt{22}}\\\\f_x(x,y)= \frac{1}{\sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{\sqrt{22}}\\\\f_{(PQ)}(P)= (f_x \vec{i} + f_y \vec{j}) \cdot \frac{\vec{v}}{|\vec{v}|}\\\\= (\frac{1}{2 \sqrt{22}}\vec{i} + \frac{1}{\sqrt{22}} \vec{j}) \cdot \frac{-1}{\sqrt{2}}\vec{i} + \frac{1}{\sqrt{2}} \vec{j}$

4 0

3 years ago

What is 6 hours equal to in minutes

seraphim [82]

its 72 mins, 6x12=72

4 0

3 years ago

Read 2 more answers

***Factor the expressions using the GCF.***

Sedbober [7]

Answer:

1. 1+2

2. 4-1

3. 3-2

4. 14+18

5. 10-6

6. 5-4

Step-by-step explanation:

1. GCF is 7

2. GCF is 11

3. GCF is 6

4. GCF is 5

5. GCF is 6

6. GCF is 20

4 0

3 years ago

William has a lemonade stand. Today he made $17.55 in lemonade sales and one third that amount in cookie sales. How much money d

ira [324]

All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40

4 0

3 years ago

What is the slope of the line for BOTH graphs? Are the slopes the same or different?

Y_Kistochka [10]

Answer:

both are -10

Step-by-step explanation:

x1 y1 x2 y2

1.5 180 6 135

(Y2-Y1) (135)-(180)= -45 ΔY -45

(X2-X1) (6)-(1.5)= 4.5 ΔX 4.5

slope= -10

B= 195

Y =-10X +195

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x1 y1 x2 y2

1 175 8 105

(Y2-Y1) (105)-(175)= -70 ΔY -70

(X2-X1) (8)-(1)= 7 ΔX 7

slope= -10

B= 185

Y =-10X +185

7 0

3 years ago