Use these words to fill in the blank below:

Answer:

The numbers are approximately: 4.000 and 1.000

Step-by-step explanation:

The given parameters can be expressed as:

[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]

[tex]\frac{x}{1000} - \frac{y}{1000} \approx 3[/tex]

Required

Determine the numbers

In each of the equations, multiply by 1000

[tex]1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5][/tex]

[tex]x + y \approx 5000[/tex]

[tex]1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3][/tex]

[tex]x-y \approx 3000[/tex]

So, we have:

[tex]x + y \approx 5000[/tex]

[tex]x-y \approx 3000[/tex]

Add the two equations

[tex]x + x + y - y \approx 5000 + 3000[/tex]

[tex]2x \approx 8000[/tex]

Solve for x

[tex]x \approx 8000/2[/tex]

[tex]x \approx 4000[/tex]

Substitute [tex]x \approx 4000[/tex] in [tex]x + y \approx 5000[/tex]

[tex]4000 + y \approx 5000[/tex]

[tex]y \approx 5000 - 4000[/tex]

[tex]y \approx 1000[/tex]

Using:

[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]

We have:

[tex]\frac{4000}{1000} + \frac{1000}{1000} \approx 5[/tex]

[tex]4.000 + 1.000 \approx5[/tex]

This implies that, the numbers approximates to 4.000 and 1.000, respectively.

Answer:

$2,820

Step-by-step explanation:

$14,100.00 / 5= $2,820

Answer:

40[tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of the rectangular prism is equal to...

L x W x H    (where L is length, W is width, and H is the height)

Therefore we know that the volume of this rectangular prism is...

L x W x H

8cm x 1cm x 5cm = 40[tex]cm^{3\\}[/tex]

Answer:

1. 11cm

2. 31.2cm

3. 20m

4. 11cm

5. 314feet

Step-by-step explanation:

1. 5.5 × 2 = 11cm

2. 15.6 × 2 = 31.2cm

3. 40m ÷ 2 = 20m

4. From the centre of a circle to the edge is the radius of a circle.

5. Circumference = πD

D = 2r = 2 × 50 = 100

π × 100 = 314feet

The correct margin of error for a 68% confidence interval is option D 4 centimeters.

Let's calculate the margin of error correctly for a 68% confidence interval.

To calculate the margin of error, we need to determine the critical value associated with a 68% confidence interval. For a normal distribution, the critical value is approximately ±1 standard deviation.

Given that the standard deviation is 64 centimeters, the margin of error can be calculated as:

Margin of Error = 1 * (Standard Deviation / √Sample Size)

= 1 * (64 / √256)

= 1 * (64 / 16)

= 1 * 4

= 4

Therefore, the correct margin of error for a 68% confidence interval, based on the given information, is 4 centimeters. The correct answer is option D.

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Answer:

D

Step-by-step explanation:

Just took the test

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

Answer:

f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)

Step-by-step explanation:

Answer:

The answer is D I believe

Step-by-step explanation:

If you look at the lowest point it lands on -4

Answer:

(2x+3)(x-5)

Step-by-step explanation:

Given the expression 2x²-7x-15

Factorize

2x²-10x+3x-15 =0

2x(x-5)+3(x-5)

(2x+3)(x-5)

Hence the factored form of the expression is (2x+3)(x-5)

HI thts way tooo much to answer but ye

Answer:

x = 14.4

Step-by-step explanation:

Using dilations, the following equation can be written to show the relationship between the two similar triangles:

x/4 = (6.5 + 2.5)/2.5

x/4 = 9/2.5

Cross multiply

x*2.5 = 9*4

2.5x = 36

2.5x/2.5 = 36/2.5

x = 14.4

Answer:

no one knows i think

Step-by-step explanation:

Answer:

junkijunki

Step-by-step explanation:

Answer:

The positions can be filled in 2730 ways

Step-by-step explanation:

The number of all posible ways is equal to the number of possibilities of who can become the manager, times the number of possibilities of who can become the associate manager, times the number of possibilities of who can become the assistant manager.

Now...

The number of possibilities of who can become the associate manager = 15

The number of possibilities of who can become the associate manager = 14

(it decrease by one because one person already got the position of manager)

The number of possibilities of who can become the assistant manager = 13

(based on the same logic as for the number of who can become the associate manager)

So now we know the number of ways equals...

15 x 14 x 13 = 2730  

Answer:

7-2=5

18-2=16

15-2=13

90-20=70

Answer: [tex]V=216.64\ in.^3[/tex]

Step-by-step explanation:

Given

Height of cup [tex]h=10.2\ inch.[/tex]

radius of cup [tex]r=2.6\ inch.[/tex]

assume the cup is in the shape of a cylinder

The volume of the cylinder is [tex]\pi r^2h[/tex]

Put the values

[tex]\Rightarrow V=\pi \times 2.6^2\times 10.2\\\Rightarrow V=216.64\ in.^3[/tex]

Answer:

4

Step-by-step explanation:

if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4

Answer:

no se ingles pero, alguien me puede ayudar?

Answer:

The building is 36.2 ft tall.

Step-by-step explanation:

i got it right on the deltamath

Answer:

The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.

Step-by-step explanation:

Answer:

The numbers 5/8 and 2/3 are terminating decimals.

The order of the measurements from least to greatest are .

2/3<,5/8,<3/4

Step-by-step explanation:

study island

The equivalent expression to 12 - 5x is -5x+12. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 12 - 5x. The equivalent expression will be calculated as,

-5x+12 = 12 - 5x

Hence, the correct option for the given expression will be B.

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Answer:

HK=42°

Step-by-step explanation:

because the arc of HK is two time bigger than HLK measurement

HLK=1/2HK

21°=1/2HK cross production

HK=2×21°

HK=42°

Answer:

a

Step-by-step explanation:

Answer:

B) false

Step-by-step explanation:

degree cant be negative because if it was then the trioxians of the neutrino would implode to a sub zero quantum ordinate and the multiverse would incenerate itself and turn into a meca black hole...and that is why we dont want monomials to have a negative degree

Answer:

A: 171.75

B: 170

Step-by-step explanation:

The mean (or average) can be found by...

- add all the numbers together (we will call this y)

- divide the total sum (or y) by the total amount of numbers used to add

Formula:

(x₁ + x₂ + x₃ + ... + xₙ) ÷ n

For A:

(172 + 130 + 173 + 212) ÷ 4 = 171.75

For B:

(136 + 184 + 168 + 192) ÷ 4 = 170

Answer:

Step-by-step explanation:

''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''

The best approximation value of a by using sine rule is 3.0cm. so option C is correct.

The sides and angles of non-right triangles are related according to the Law of Sines.

The relationship between the angles and lengths of the sides:

a/sinA = b/sinB = c/sinC

We know according to law of sines:

a/sinA = b/sinB = c/sinC

by putting the values we can write,

a/sin40° = 4.7/sin95°

a = (4.7 ×sin40°)/sin95°

  =  3.032

by putting the value of Sin40° and Sin95°.

we get a = 3.03cm.

Approximation value of a is 3.0cm.

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The complete question:

what is the best approximation of the value of a?

2.4 cm

2.7 cm

3.0 cm

3.3 cm

Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.

Answer:

b) 5:11

Step-by-step explanation:

count the orange squares and the white squares

KLJ= 125º

Hope this helps!!

Answer:

90

Step-by-step explanation:

radius = 6/2 = 3

(3x3x3x10)/3 = 270/3 = 90

The third side is [tex]\sqrt{42}[/tex]

So Pythagorean's theorem is the following

[tex]Short^2 + Long^2 = Hypotenuse^2[/tex]

From here we can input the following information that we know

[tex]Short^2 + 4\sqrt{3}^2 = 8^2\\Short^2 + 12 = 64\\Short^2 = 64 - 12\\Short^2 = 42\\Short = \sqrt{42}\\[/tex]

Answer:

1 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

option 1!

Step-by-step explanation:

it started at 15 and ended at 23. also when u look at the sequence, 19 is in the middle. which shows in the graph that 19 is matching the line. but u might be confused since option 2 also has 19 matching the line... but look carefully. the square started at 17, but the sequence does not have 17 in it.

i hope this helped :D

Answer:

252

Step-by-step explanation:

14 x 6 x 12 = 1008/2 = 504/2 = 252

Answer:

Step-by-step explanation:

If any thing is in the brackets you need to do it first

so if you do 3 + x × 4 it will give yo 4x + 3 or 3 +4x