6 - 4 2/3
6 - 4 2/3 ​

Answer:

The number of solutions to the given set of equations is 0.

Step-by-step explanation:

Number of solutions of a system of equations:

System of equations: ax = b

If a = 0 and b = 0, infinite solutions.

If a = 0 and b != 0, zero solutions.

If a != 0 and b != 0, one solution.

We are given the following system of equations:

y = 7x + 12

y = 7x + 2

So

7x + 12 = 7x + 2

7x - 7x = 2 - 12

0x = -10

a = 0, b != 0, so zero solutions.

The number of solutions to the given set of equations is 0.

Answer:

Step-by-step explanation:

It is the same way:

       we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

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Answer:

(a) The units of f'(s) is kilometer per liter

(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]

Step-by-step explanation:

Given

[tex]C = f(s)[/tex]

[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]

Solving (a): Unit of f'(s)

From the question, we understand that:

[tex]C = f(s)[/tex]

and

[tex]C = Litre/km[/tex] --- units

f'(s) is the inverse of C.

Hence:

i.e.

[tex]f'(s) = C^{-1}[/tex] --- units

So, we have:

[tex]f'(s) = (Litre/km)^{-1}[/tex]

[tex]f'(s) = Km/Litre[/tex]

Solving (b): Instantaneous rate of change at:

[tex]s = 90[/tex]

We have:

[tex]C = f(s)[/tex]

The change is calculated as:

[tex]\triangle = \frac{f(s)}{s}[/tex]

Substitute 90 for s

[tex]\triangle = \frac{f(90)}{90}[/tex]

Given that: [tex]f(90) = 0.02[/tex]

[tex]\triangle = \frac{0.02}{90}[/tex]

[tex]\triangle = 0.000222[/tex]

[tex]\triangle = 2.22 * 10^{-4}[/tex]

Answer:

67*4 = 268 cards

hope this helps

Step-by-step explanation:

Answer:

you just need to *

Step-by-step explanation:

67 * 4 = 268!

have a lovely day and god bless you and ur family ! hope this helped

-lei

Answer:

6.3 billion people

Step-by-step explanation:

[tex]A=5(1.03)^t[/tex]

The "base year" is 1987 when there were 5 billion people.  That year corresponds to  t = 0  (t measures years after 1987)

That makes 1995 = 1995 - 1987 = 8, so t = 8.

Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]

8

Step-by-step explanation:

8 × $70 = $560

20 × $140= $2800

$560 + $2800 = $3360

Answer:

115°

Step-by-step explanation:

x =180-65=115°

------

Answer:

28.3

Step-by-step explanation:

the formula for area is πr²

where π is 3.14

r is 3

area= 3.14 x 3²

area= 3.14 x 9

area= 28.28 approximately 28.3

Answer:

[tex]n(t) = 400 + 40 t[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] --- initial

[tex]r = 40[/tex]  --- rate

Required

Write in mathematical notation

Using mathematical notation,in terms of n.

The given parameters can be rewritten as

[tex]n(0) = a[/tex]

[tex]n(0) = 400[/tex]

and

[tex]\frac{dn}{dt} = r[/tex]

[tex]\frac{dn}{dt} = 40[/tex]

The mathematical notation can be determined using:

[tex]n(t) = n(0) + \frac{dn}{dt} * t[/tex]

So, we have:

[tex]n(t) = 400 + 40 * t[/tex]

[tex]n(t) = 400 + 40 t[/tex]

Answer:

English plss

Step-by-step explanation:

Answer:

Find answers below.

Step-by-step explanation:

The question isn't so complete but I would have to improvise so as to assist you.

Therefore, let's assume the values given are diameters of the circle.

However, if it's the radius, you'll just have to use the formula 2πr.

Given the following data;

Pie, π = 3.14

1. Diameter = 15 cm

Mathematically, the circumference of a circle (C) with diameter (D) = πD

C = 3.14 * 15

C = 47.1 cm

2. Diameter = 34 inches

C = 3.14 * 34

C = 106.76 inches

3. Diameter = 300 mm

C = 3.14 * 300

C = 942 mm

4. Diameter = 20 cm

C = 3.14 * 20

C = 62.8 cm

5. Diameter = 62 cm

C = 3.14 * 62

C = 194.68 cm

Answer:

should be C

Step-by-step explanation:

They are congruent

In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

For (1, 1),

[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]

[tex]\frac{1+4}{16}\leq 1[/tex]

[tex]\frac{5}{16}\leq 1[/tex]

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]1+\frac{1}{4}\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+1\leq 1[/tex]

[tex]1\frac{1}{16}\leq 1[/tex]

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{4}+1\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.

Answer:

Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.

Step-by-step explanation:

2 × 5 = 10

3 × 5 = 15

5 × 5 = 25

Answer:

0

Step-by-step explanation:

0 is an integer.

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Answer:

[tex]x = 7[/tex]

[tex]y =16[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find x and y

From the sign on each line, we have:

[tex]y - 4 = x + 5[/tex]

[tex]2x + 5 = x + 12[/tex]

Collect like terms

[tex]2x-x=12 - 5[/tex]

[tex]x = 7[/tex]

We have: [tex]y - 4 = x + 5[/tex]

Substitute [tex]x = 7[/tex]

[tex]y - 4 = 7+5[/tex]

[tex]y - 4 = 12[/tex]

So:

[tex]y = 12+4[/tex]

[tex]y =16[/tex]

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

C : VALID

Step-by-step explanation:

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

504 in.^2

Step-by-step explanation:

Area = base times height

Answer:

    1,080 in.2

    1,260 in.2

✔ 1,620 in.2

    2,160 in.2

or C for the lazy people, don't sweat it - im lazy too

Answer:

The equation is [tex]t(n) = -4 + 4(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.

The general equation for an arithmetic sequence is:

[tex]t(n) = t(1) + d(n-1)[/tex]

Taking the mth term as reference, the equation can be written as:

[tex]t(n) = t(m) + d(n-m)[/tex]

t(4) = 8 and t(10) = 32

The common difference can be found:

[tex]t(n) = t(m) + d(n-m)[/tex]

[tex]t(10) = t(4) + d(10-4)[/tex]

[tex]6d = 24[/tex]

[tex]d = \frac{24}{6} = 4[/tex]

So

[tex]t(n) = t(1) + 4(n-1)[/tex]

Finding the first term:

[tex]t(4) = t(1) + 4(n-1)[/tex]

So

[tex]t(1) = t(4) - 12 = 8 - 12 = -4[/tex]

So

The equation is [tex]t(n) = -4 + 4(n-1)[/tex]

Answer:

y=x

Step-by-step explanation:

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

b)   x = -7

Step-by-step explanation:

x = -7 is a vertical line

vertical lines are parallel to the y axis

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45

Answer:

3rd

Step-by-step explanation: