3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?

Answer:

[tex]\bold{m=-\frac{2}{5}}[/tex]

Step-by-step explanation:

Slope

First, we have to find two points that hit the graph at the right place:

[tex](0,4)[/tex]

[tex](10,0)[/tex]

Then, we plug the value into the slope formula:

[tex]\sf{Slope\:formula:\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{0-4}{10-10}[/tex]

Now, we can solve:

[tex]\frac{0-4}{10-0}\\\\=\frac{-4}{10}\\\\\bold{m=-\frac{2}{5}}[/tex]

Therefore, the slope of the line is [tex]-\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

(y + 3) = (1/8)(x - 2)

Answer:

a₈ = 2

Step-by-step explanation:

Substitute n = 8 into the nth term rule

A(8) = - 12 + 2(8 - 1) = - 12 + 2(7) = - 12 + 14 = 2

Answer:

11 17/21

Step-by-step explanation:

Answer:

11 17/21

Step-by-step explanation:hope i helped

Answer:

Correct answer: 2.25

Answer:

Step-by-step explanation:

The point of closest approach is on a line perpendicular to the zip line

perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)

y = (8/3)x + b

adding our known point (3, 16)

16 = (8/3)3 + b

b = 8

y = (8/3)x + 8

now find where the two lines intersect by solving two equations with two unknowns

y = (-3/8)x + 8

as the two lines have a common y intercept of 8, that is the common point

(0, 8)

The distance from (0, 8) to (3, 16) is

d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...

d = 8.5 ft

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Answer:

I don't know

Step-by-step explanation:

plus all of them = Answer

Answer:

Step-by-step explanation:

False    Line of symmetry is x = -1

False   The maximum of f(x) = 3  

we can find the maximum of f(x) by putting it in vertex form (y - 3) = - 1(x + 7)² which tells us that the vertex is at (-7, 3)

True     -7 < -1

Answer:

Well the answer would be 865,920. Hope this helped! this is the way i learned it so if its wrong i'm super sorry!

Step-by-step explanation:

I = p x r x t

I = 82,000 x 8 x 11yrs

BUT WAIT! this is MONTHLY, so convert 11 x 12 = 132 and then move 8 back 2 spaces = 0.08 so the correct equation is

I = 82,000 x 0.08 x 132

I = 865,920

Answer:

25%

Step-by-step explanation:

multiply it by 100 over 1 then divide the top by the bottom.

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

Answer: [tex]y=-\frac{1}{2}x-7[/tex]

Ok done. Thank to me :>

Answer:2(4t-9-10t+7) is answer and for the next it 2(-6t-2)

Answer:

7 and that is its simplest form

Step-by-step explanation:

thank me later

Answer:

4

Step-by-step explanation:

14 ÷ 4 = 3.5

3.5 and 7/8 = 4

Answer:

2/5

Step-by-step explanation:

0.4 x 10/10

= 4/10 divide by 2

=2/5

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

you divide 15 by 3 first because of pemdas

15 divided by 3 = 5

4 + 5 = 9

Answer:

[tex]3x + 14[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4x + 2(3x + 7) - 7x[/tex]

[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]

[tex]4x + 6x + 14 - 7x[/tex]

Step 2:  Combine like terms

[tex]4x + 6x + 14 - 7x[/tex]

[tex](4x + 6x - 7x) + 14[/tex]

[tex]3x + 14[/tex]

Answer:  [tex]3x + 14[/tex]

Answer:

50(64+36) this would be your answer

50 x (64+36)

Step-by-step explanation:

According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.

Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Then:

[tex]N = 26^3 \times 10^3 = 17576000[/tex]

17,576,000 different license plates can be manufactured.

To learn more about the fundamental counting theorem, you can take a look at https://brainly.com/question/24314866

12. x= 4

13. x= 4

14. x= -1

Check the steps in the picture above

Answer:

Step-by-step explanation:

it is two left night

(a) Given the position function

x(t) = (B m/s²) t² + 5 m

it's clear that the object accelerates at B m/s² (differentiate x(t) twice with respect to t), so that the force exerted on the object is

F(t) = (2 kg) (B m/s²) = 2B N

(b) Recall the work-energy theorem: the total work performed on an object is equal to the change in the object's kinetic energy. The object is displaced by

∆x = x(5 s) - x(0 s)

∆x = ((B m/s²) (5 s)² + 5 m) - ((B m/s²) (0 s)² + 5 m)

∆x = 25B m

Then the work W performed by F (provided there are no other forces acting in the direction of the object's motion) is

W = (2B N) (25B m) = 50B² J = 200 J

Solve for B :

50B² = 200

B² = 4

B = ± √4 = ± 2

Since the change in kinetic energy and hence work performed by F is positive, the sign of B must also be positive, so B = 2 and the object accelerates at 2 m/s².

(c) We found in part (b) that the object is displaced 25B m, and with B = 2 that comes out to ∆x = 50 m.

Answer:

I'm going to call the length of the bracelet the number of times you have to add to get back to the first bead. This is the same as the number of beads, except in one case:

The shortest bracelet has length 1 and starts with (0,0). If you add one time, you get back to the first 0. But the bracelet has two beads. (Every bracelet has to have at least two beads to start.)

The next shortest bracelet starts with (0,5), and has length 3:

0 5 5

There is a bracelet of length 4 that starts with (2,6) (the first example on the main page):

2 6 8 4

There is a bracelet of length 12 that starts with (1,3) (the second example on the main page):

1 3 4 7 1 8 9 7 6 3 9 2

There is a bracelet of length 20 that starts with (0,4)

0 4 4 8 2 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4

There is a bracelet of length 60 that starts with (0,1)

(I'll let you have the fun of writing all the beads.)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

The slope (or gradient) is 0.6 and the y-intercept is 6.

Answer:

559

Step-by-step explanation: