how do you do this?​

Answer:

[tex]\huge \boxed{\mathrm{3780 \ cm}}[/tex]

[tex]\huge \boxed{\mathrm{37.8 \ m}}[/tex]

Step-by-step explanation:

22 students each maintain distancing of 180 centimeters apart.

1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-22

There are 21 spaces between the students in the line.

21 × 180

= 3780

The length of the line is 3780 centimeters.

To convert cm to m, we divide the value by 100.

[tex]\frac{3780}{100}[/tex] = 37.8

The length of the line is 37.8 meters.

[tex]\huge{\boxed{\bf{Solution:}}}[/tex]

We have,

To FinD:

⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.

.................Similarly,

We have, Length of Gap = 180 cm

➝ Total length of gaps = 180 cm × 21 = 3780 cm

Converting into m,

➝ 100 cm = 1 m

➝ 3780 cm = 3780 / 100 m

➝ 3780 cm = 37.80 m

⚘ Length of line:-

In cm ➝ 3780 cm

In m ➝ 37.8 m

━━━━━━━━━━━━━━━━━━━━

Answer:f(t)=4/9t — 12

Step-by-step explanation:

1. 4 is being multiplied by t first then divided by 9 not by 4/9 so there shouldn’t be any parentheses.

2. 12 is being subtracted from this so it should be 4/9t—12.

3. Final answer: f(t)= 4/9t — 12

Answer:

w = 112

Step-by-step explanation:

1/8w = 14

Multiply each side by 8

8*1/8w = 14*8

w = 112

Answer: w = 112

Explanation: If w is being multiplied by a fraction, simply multiply both sides of the equation by the reciprocal of that fraction to get w by itself.

So in this problem, since w is being multiplied by 1/8,

we multiply both sides of the equation by 8/1.

On the left, (8/1) (1/8) cancels out and on the right,

if you multiply 14 by 8/1, you get 112.

So w = 112.

Image is attached below.

Answer:

Step-by-step explanation:

1 + ( -5)     Adding a negative = subtracting:

= 1 - 5

= -4.

Think of these numbers as 'directed' numbers - the numbers depend on the direction.

If we have a thermometer and the temperature reads 1 degree and the temperature drops, the mercury travels down ( negative direction) by 5 units. . It goes down 1 degree to reach 0 then another 4 degrees to reach -4,

1 - 5 = -4.

Answer:

Reciprocal, Exponential and Logarithmic.

Step-by-step explanation:

x intercept is the value of x where y value is 0.

y intercept is the value of y where x value is 0.

Let us have a look at the possibility for each parent function as given.

I. Linear

[tex]y =x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

II. Absolute value

[tex]y =|x|[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

III. Quadratic

[tex]y =x^{2}[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

IV. Cubic

[tex]y =x^3[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

V. Square root

[tex]y =\sqrt x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VI. Cube root

[tex]y =\sqrt[3]x[/tex]

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VII. Reciprocal

[tex]y =\dfrac{1}x[/tex]

When [tex]x = 0, y \rightarrow \infty[/tex]

Therefore, both x and y intercept do not exist.

VIII. Exponential

[tex]y =b^x[/tex]

where b is any base:

When [tex]x = 0, y =1[/tex] therefore y intercept exists.

When we put y = 0, which is not possible

Therefore, both x and y intercept do not exist.

IX. Logarithmic

[tex]y =logx[/tex]

When [tex]x = 0, y \rightarrow[/tex] not defined

Therefore, both x and y intercept do not exist.

Answer:  Answer is the steps.

Step-by-step explanation:

The table of  with   the values  

 x           y  

0             3

1              1  

2              -1

3              -3  

It represents a linear function because as the y values decrease by 2  the x values increase by 1.

Answer:

Option D is correct answer.

Step-by-step explanation:

Hey, there!

Before finding a,b,c, you remember the formula of quadratic equation,

[tex]a {x}^{2} + bx + c = 0[/tex]

Where, "a" represents thecoefficient of, x^2 "b" represents the coefficient of y and "c" is a numerical value.

So, the value of a,b,c in this equation "-2x^2+4x-3=0" is:

a= -2

b= 4

and c= -3.

Hope it helps...

Answer:

D

Step-by-step explanation:

EDGE 2021

Answer:

8<w<35

Step-by-step explanation:

the w has to be over 8, but less than 35, so 8<w<35 is ur answer.

// have a great day //

Answer:

x = -12, a = 17

Step-by-step explanation:

You can use algebraic techniques to simplify two-step equations. They have a constant on one side of the equation and a variable with a coefficient on the other. However, for algebraic equations, most will require you to add or subtract a constant from the side with the variable.

4x + 7 = -41 can be simplified algebraically. Subtract 7 from both sides and then divide by 4.

4x + 7 = -41

4x = -48

x = -12

-4 - 2a = -38 can also be simplified algebraically. Add 4 to both sides and then divide by -2.

-4 - 2a = -38

-2a = -34

a = 17

Answer:

8    x = -12

12    a = 17

Step-by-step explanation:

8

4x + 7 = -41

4x = -41 - 7

4x = -48

x = -48/4

x = -12

probe:

4*-12 + 7 = -41

-48 + 7 = -41

12

-4 - 2a = -38

-2a = -38 + 4

-2a = -34

a = -34/-2

a = 17

probe:

-4 - 2*17 = -38

-4 - 34 = -38

Answer:

70√2  units²

Step-by-step explanation:

(see attached for reference notes on parallelograms)

we are given ABCD is a parallelogram where

Short Length, AB = 10 units

Long Length, BC = 14 units

Angle A = 45°

The area of the parallelogram is hence,  

= AB x BC sin 45°

= 10 x 14 x sin 45

= 140 sin 45°    (recall from special angles, that sin 45° = 1/√2)

= 140/√2   (remove radical from denominator by multiplying by √2/√2)

= (140/√2) x (√2/√2)

=70√2  units²

Answer:

1,243,206x

Step-by-step explanation:

Combine like terms:

[tex]28x +25x +23x+23x+45x+1234890x+6389x+1783x\\\\=\boxed{1243206x}[/tex]

The expression can no longer be simplified.

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

[tex] x + 55 [/tex]

[tex] x + 65 [/tex]

[tex] x + 120 [/tex]

The sum of all angles in a quadrilateral = 360°.

Therefore, [tex] (x + 55) + (x + 65) + (x + 120) = 360 [/tex]

Solve for x

[tex] x + 55 + x + 65 + x + 120 = 360 [/tex]

[tex] 3x + 240 = 360 [/tex]

[tex] 3x + 240 - 240 = 360 - 240 [/tex]

[tex] 3x = 120 [/tex]

[tex] \frac{3x}{3} = \frac{120}{3} [/tex]

[tex] x = 40 [/tex]

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

[tex] x + 55 = 40 + 55 = 95 [/tex]

[tex] x + 65 = 40 + 65 = 105 [/tex]

[tex] x + 120 = 40 + 120 = 160 [/tex]

Answer:

Step-by-step explanation:

Let the points be A and B

A ( -8 , - 18 )⇒( x₁ , y₁ )

B ( 14 , -18 )⇒( x₂ , y₂)

Finding the distance between these two points

[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }[/tex]

We know that,[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }[/tex]

Calculate

⇒[tex] \sf{ \sqrt{ {22}^{2} + {0}^{2} } }[/tex]

Evaluate the power

⇒[tex] \sf{ \sqrt{484} }[/tex]

⇒[tex] \sf{{22} }[/tex] units

Hope I helped !

Best regards!!

Answer:

12

Step-by-step explanation:

use the distance formula

(1-1)^2 + (6- (-6))^2

0+12^2

take the sqrt of 144

12

Answer:

12

Step-by-step explanation:

→To solve this, you need to use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

→Plug in the numbers accordingly:

[tex]d=\sqrt{(1-1)^2+(6+6)^2}[/tex]

[tex]d=\sqrt{(0)^2 + (12)^2}[/tex]

[tex]d=\sqrt{144}[/tex]

→Take the square root of 144:

[tex]d=12[/tex]

Answer: 5.83 milea

Step-by-step explanation:

As displacement is the shortest distance between two points. Now 5 miles north and 3 miles east so it makes a Right angle traingle and the hypotenuse is the displacement so

Displacement is (5^2 +3^2)^0.5 =5.83 miles.

The displacement is 5.83 miles.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

Miles Sean ran to the north of his house = 5 miles

Miles Sean ran to the east of his house = 3 miles

For finding the displacement, we have to find out the length of the line from the initial to the final position of Sean.

As Sean first ran north and then ran east, a right-angled triangle is made.

The displacement of Sean is given by the hypotenuse of this right-angled triangle.

The perpendicular is the distance ran in north.

The base is the distance ran in east.

Now, by using the Pythagoras theorem:

H² = P² + B²

H² = (5)² + (3)²

H² = 25 + 9

H² = 34

H = √34 = 5.83 miles

The displacement is 5.83 miles.

Hence, The displacement is 5.83 miles.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ3

Answer:

16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,

Step-by-step explanation:

which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square

if this helped please give me brainliest

Answer:

It will be:

Step-by-step explanation:

16=:

a) 1 x 16

b) 2 x 8

c) 4 x 4

All these are the product of 16 prime factors.

Prime factors are any of the number that can be multiplied to give the original number.

Hope they help.

Answer:

3+2=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 2 = 7(3 - x)

3x + 2 = 21 - 7x

3x + 7x = 21 - 2

10x = 19

 x = 1.9

[tex]26-x-4 = 26 - 1.9 -4 = 20.1[/tex]

Answer:

x=11

Step-by-step explanation:

The fact of x=11 makes the equation true as for if it didnt work correctly it wouldnt be true.

Answer :

In the picture above. I hope it helps:)

I started at 2 but for the one bracket just know that

1×1=1

1×2=2

1×3=3

1×4=4

1×5=5

1×6=6

1×7=7

1×8=8

1×9=9

1×10=10

1×11=11

1×12=12

Your question has been heard loud and clear.

First one (x+2i)(x-2i) = x^2+4

Second one (x-2+2i)(x-2-2i) = x^2-4x+8

Third one (x+1+i)(x+1-i) = x^2+2x+2

Thank you

Edit: Sorry for taking 15 minutes I was calculating lol

Answer/Step-by-step explanation:

1.a)(iv). [tex] \frac{1}{6} + (-\frac{7}{8} [/tex]

Positive multiplied by negative = negative

[tex] \frac{1}{6} - \frac{7}{8} [/tex]

[tex]\frac{4 - 21}{24} = \frac{-17}{24} = -\frac{17}{24}[/tex]

2a.) 73.48 +(-37.3)

[tex] Note: + * - = - [/tex]

73.48 - 37.3 = 36.18

3c.) [tex] 3\frac{3}{4} [/tex] ÷ [tex] (-4\frac{2}{7}) [/tex]

Convert to proper fraction

[tex] \frac{15}{4} [/tex] ÷ [tex] (-\frac{30}{7}) [/tex]

Change ÷ to × and flip the fraction on your right upside down

[tex] \frac{15}{4} * (-\frac{7}{30}) [/tex]

[tex] -\frac{15*7}{4*30} [/tex]

[tex] -\frac{1*7}{4*2} = -\frac{7}{8} [/tex]

3d.) -52.25 ÷ (-5.5) = [tex] \frac{-52.25}{-5.5} [/tex]

(Note: - ÷ - = + )

[tex] \frac{-52.25}{-5.5} = 9.5 [/tex]

Answer:

The correct answer is:

It is a continuous random variable (C)

Step-by-step explanation:

Continuous Random Variables are variables that do not take on a distinct value. They take on values that are a range of different possibilities to infinity. In continuous random variables, the values cannot be counted. In this example, the time it takes for a light bulb to burn out can be any rational number which is greater than 0, up to infinity; for instance, it can be 24 hours, 24.5 hours, 30.8 hours, 51.2 hours etc. There is an infinite possibility of the time it takes for the bulb to burn out.

Discrete Random Variables are ones in which the variables take on distinct values and nothing in between. Here, the outcomes can be counted. For example if a coin is tossed, there are only two possibilities which can be the outcome and that is either head, or tail. The number of possible outcome is 2, and there is nothing inbetween head or tail.

Answer:

It’s C

(Gibberish words to so i can to 29 words)

hciejdgrifgirgrittrufifgeydifufgfidhfuvifgdudugcudydgdidhdhf

Hope this helped,if not, don’t hate.

Answer:

Step-by-step explanation:

Lin after 1 year has 300+2*300/100=300+6=306  $

     after 2 years has 306+2*306/100=306+6.12=312.12$

150-15*150/100=150-22.5=127.5 $ the price for the bicycle

The value after 20 years is $ 723.514

Solution:

Formula for Amount compounded annually is as follows:  

Where,

"A" is the total amount

"p" is the principal sum

"r" is the rate of interest

"n" is the number of years

From given question,

p = $ 300

r = 4.5 %

n = 20 years

Substituting the values we get,

Thus value after 20 years is $ 723.514

PART 2)

2. Given data

Cost of bicycle = $150

Depreciation = 15%

Firstly let us calculate 15% of $150

(15/100)*150 =0.15*150

= $22.5

Since the value depreciated

We will minus the the depression from the initial amount

New amount = 150-22.5=

$127.5

Answer:

Area of a parallelogram is base times height. Note that CD = AB & AD = BC

to find the height, draw a line from angle B perpendicular to the base b. Lets call the point of intersection at the base E. This constitutes a right triangle with AB as the hypotenuse. Using the law of sine to calculate the height h:

h/sin(A) = AB/sin(90°) ( sin(90°) = 1)

h = AB * sin(45°)

h = 10 * sin(45°)

Area = 14 * 10 * sin(45°) = 140 * sin(45°) ≈ 98.99 QEDexplanation:

Answer:

The time it takes to earn an amount A with a given principal P invested for a time period t is t = (A/P - 1)/r

Step-by-step explanation:

In order to calculate the time it would take to earn a certain amount of interest on a principal amount in an investment with simple interest, we use the simple interest formula as follows;

A = P·(1  + r·t)

A = The final amount after the number of periods of investment

P = The principal or initial amount

r = The interest rate per period

t = The number of the time periods

Therefore, the time it takes to earn a certain amount of interest on a principal amount in an investment with simple interest is fount by making t the subject  of the above equation, which is given as follows;

A/P = 1 + rt

rt = A/P - 1

t = (A/P - 1)/r

Therefore, the time it takes to earn an amount A with a given principal P invested for a time period t is given by t = (A/P - 1)/r.

Answer

[tex]\frac{16}{5}[/tex]*[tex]\frac{36}{12}[/tex]*[tex]\frac{25}{18}[/tex]=[tex]\frac{4}{1} *\frac{2}{3} *\frac{5}{1}=\frac{40}{3} =13\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is: