5. a) Write the smallest and largest number of 6 digits.

Answer:

Step-by-step explanation:

(-∝;2)

Answer: (-infinity, 2]

Step-by-step explanation:

9514 1404 393

Answer:

  18 units

Step-by-step explanation:

The distance formula is used to find the distance between two points:

  d = √((x2 -x1)² +(y2 -y1)²)

For AB, the distance is ...

  d = √((0 -(-4))² +(-2 -1)²) = √(16 +9) = √25 = 5

The distances between the other pairs of points can be found the same way. We have elected to let a spreadsheet do the math. It tells us the perimeter of triangle ABC is 18 units.

Answer: 18 units

Step-by-step explanation:

Answer:

Total: 1060 Gain: 60

Step-by-step explanation:

1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060

Answer: Choice B

[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]

===============================================================

Explanation:

Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is

c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)

This represents the length of the vector <-4,7>

Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.

The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.

B Answer:

{a, c, e, i, l, m, n, o, s, t, y}

Answer:

AAS (Angle Angle Side) shows congruence.

Step-by-step explanation:

Basically if you have Two Angles and a side length, which you do, by rule of congruence the rest of the triangle will be equal because two angles and a side length are equal.

Answer:

48000cm

Step-by-step explanation:

5:15000

But, 1cm will be 3000

16cm will be 16*3000 =48000cm

Answer:

heliocentric = sun is center

geocentric = earth is center

Answer:

Heliocentric Theory goes with 2.

Geocentric Theory  goes with 1.

Step-by-step explanation:

The Heliocentric theory is the theory that the Sun is the center of the solar system. Hence, the prefix "helio" which means "relating to the sun"

The Geocentric theory is the theory that the earth is the center of the solar system. Hence, the prefix "geo" which means earth.

A good way to remember which is which is to remember the prefixes.

Step-by-step explanation:

6m+7n+5m-3n

11m+7n-3n

11m+4n

Answer:

3:2

plsss mark me brainliestt

Step-by-step explanation:

25 games played

15 won

10 lost

15:10

3:2

Answer:

[tex] {x}^{2} + 4b = 0 \\ {x}^{2} = - 4b \\ x = \sqrt{ - 4b} \\ x = 2 \sqrt{b} i \\ thank \: you[/tex]

Answer:

Brainliest is appreciated

-4, -1, 5

Step-by-step explanation:

when x = -1

y= 3x - 1

3(-1) - 1

-3 -1

-4

when x = 0

y = 3x - 1

3(0) - 1

0 - 1

-1

when x = 2

y = 3x -1

3(2) - 1

6 - 1

5

Step-by-step explanation:

[tex]y = 3x - 1[/tex]

Putting x = -1

[tex]y = 3( - 1) - 1[/tex]

[tex]y = - 3 - 1[/tex]

[tex]y = - 4[/tex]

Putting x = 0

[tex]y = 3(0) - 1[/tex]

[tex]y = 0- 1[/tex]

[tex]y = -1[/tex]

Putting x = 2

[tex]y = 3(2) - 1[/tex]

[tex]y = 6 - 1[/tex]

[tex]y = 5[/tex]

[tex]\\ \sf\longmapsto 3x+3x-2=46[/tex]

[tex]\\ \sf\longmapsto 6x-2=46[/tex]

[tex]\\ \sf\longmapsto 6x=46+2[/tex]

[tex]\\ \sf\longmapsto 6x=48[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{48}{6}[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

Now, let's solve & find the value of x with equation 2.

[tex] \large \sf \: 46° = 3x° + 3x - 2° \\ \large \sf \: 46 = 6x - 2 \\ \large \sf \:46 + 2 = 6x \\ \large \sf \:48 = 6x \\ \large \sf \: \frac{48}{6} = x \\ \large \boxed{\bf \:8 = x}[/tex]

You're dividing 2/3 by 1/4, which is

[tex]\dfrac{\dfrac23}{\dfrac14} = \dfrac23 \times \dfrac41 = \dfrac{2\times4}{3\times1} = \boxed{\dfrac83}[/tex]

Answer:

3. -10

4. 5

5. -4

6. 24

7. 0

8. 46

9. -1

10. 42

11. -4

12. -26

13. 30

14. -5

When an equation says something like 23 - (-23) then you actually add them together because you multiply the inside by -1 to get 23 + 23

Answer:

x = (300 - 215)/15

Step-by-step explanation:

x, the amount of gifts, is equal to the amount of money left over after he fixes his car, divided by the amount he's willing to spend on each gift.

josef could buy a maximum of 5 gifts! the answer is 5.6 but he can't buy half a gift, nor can he afford 6, so we round down to get 5 gifts :)

Answer:

Josef can buy 5 gifts for 75$

Answer:

[tex]u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90[/tex]

Answer:

Solution,

here,

u=18

x =10

y= 8

=u+xy

=18+(10×8)

=18+80

=98

Answer:

x - y + z = 8

2x +3y -z= -2

3x - 2y -9z = 9

Step-by-step explanation:

[1 - 1  1  8]

[2  3  -1 -2]

[3 -2 -9  9]

9514 1404 393

Answer:

  3

Step-by-step explanation:

This is basically a calculator problem, though you can do it in your head. Follow the order of operations.

  [tex]\dfrac{\sqrt{144}}{\sqrt[5]{243}}-5+16\div\sqrt[3]{64}=\dfrac{12}{3}-5+\dfrac{16}{4}\\\\=4-5+4=\boxed{3}[/tex]

Answer:

3

Step-by-step explanation:

(√144/ ^5√243/) - 5 + 16 ÷ (³√64) =

12/3 -5 +16÷ 4 =

4 - 5 + 16 ÷ 4 =

-1 + 4 =

3

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=62

The value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, use the Bodmas method

=[3 × 9 - 5 ]+ 20 × 2

= [27 -5] + 40

= 22 + 40

=62

Therefore,  the value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Answer:

the answer is the 3rd choice: Pe=$14, Qe=31

Step-by-step explanation:

locate the price where S1 and D1 intersect= 14

locate the quantity where S1 and D1 intersect= 31

so, Pe=$14 and Qe=31

Answer:

3y+21=2y+18-y

3y+21=y+18

3y-y=18-21

2y=-3

y=-3/2

Answer: 7/14 cant be written as a mixed number it is already a proper fraction. sorry I could help

Step-by-step explanation:

Answer:

Formula:

[tex]length = \sqrt{ {(x _{1} -x_{2} )}^{2} + {(y_{1} -y_{2}) }^{2} } [/tex]

substitute:

[tex]l = \sqrt{ { \{7 - ( - 8) \}}^{2} + {(8 - 4)}^{2} } \\ \\ l = \sqrt{225 + 16} \\ l = \sqrt{241} \\ { \boxed{ \boxed{length = 15.5 \: units}}}[/tex]

Answer:

1890

Step-by-step explanation:

Area formula: B × H

Substitute and solve:

70 × 27 = 1890

So, the area is 1890.

Hope this helped.

Answer:

B. 27+3√5/76

Step-by-step explanation:

3/9-√5

~Multiply the conjugate to everything (9 + √5)

3(9+√5)/(9-√5)(9+√5)

~Simplify

27+3√5/76

Best of Luck!

9514 1404 393

Answer:

  285

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  [tex]\dfrac{x^2y-2z}{4}=\dfrac{12^2\cdot8-2\cdot6}{4}=\dfrac{144\cdot8-2\cdot6}{4}\\\\=\dfrac{1152-12}{4}=\dfrac{1140}{4}=\boxed{285}[/tex]