Convert 413 in base 5 to base 10

Answer:

33 Litres

Step-by-step explanation:

Step-by-step explanation:

Mia want to buy 3 notebook for $1.29 each ,

then total cost =3×1.29

hence, 3×29

1\6+1/12+2/6=2+1+4/12

=7/12

[tex]\huge\mathsf\purple{ANSWER}:—[/tex]

[tex]0.6 = \frac{6}{10} = \frac{3}{5} [/tex]

0.6

[tex] \frac{6}{10} = \frac{3}{5} [/tex]

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Answer:

answer is

In empty set, n(A) = { }.

Answer:

B. suggest that you and your boss schedule regular check-ins at lunchtime and at the end of the day

Step-by-step explanation:

It allows you to be ontask at your role (which you are hired for) while at the same time helps your boss know that you are on top of everything. It is the most polite option since you are setting professional boundaries but not complaining and showing frustrations.

(also so that your boss isn't micro-checking on you)

Step-by-step explanation:

f(1) = 3×1 - 1 = 2

f(4) = 3×4 - 1 = 12-1 = 11

so, the functional value changes 11-2=9 units on an x interval of 4-1=3 units length.

the average change rate is the total change across the x interval relative to the interval length.

that is

9/3 = 3

which is the slope (= the factor of x) in the line equation.

for a line its change rate for any point is the same constant. and that is therefore automatically also the average change rate across an interval of x values.

if the change rate would be different for different parts of the function, it would not be a straight line.

Answer:

3

Step-by-step explanation:

The average rate of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 4 ] , then

f(b) = f(4) = 3(4) - 1 = 12 - 1 = 11

f(a) = f(1) = 3(1) - 1 = 3 - 1 = 2

average rate of change = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3

Answer:

The fourth number line is the answer.

Step-by-step explanation:

[tex] - 18 > - 5x + 2 \geqslant - 48 \\ ( - 18 - 2) > - 5x \geqslant ( - 48 - 2) \\ - 20 > - 5x \geqslant - 50 \\ \\ \frac{ - 20}{ - 5} > x \geqslant \frac{ - 50}{ - 5} \\ \\ 4 > x \geqslant 10[/tex]

Answer:

1106.666667 to the nearest whole number

1107

Answer:

1106.666667 rounds to 1107

Step-by-step explanation:

We look at the whole number, 6

Then look at the tenths place .6

Since 6 is greater than or equal to 5, we round the whole number up one place to 7

1106.666667 rounds to 1107

Answer:

31,783.5

Step-by-step explanation:

Half of 46601 = 23300.5

23300.5 + 8483 =31783.5

Answer:

A is a subset of B i believe that's the answer

a) The slope of the line MU is [tex]\frac{4}{5}[/tex]

b) The distance between the coordinates of the line MU is √41

c) There are differences and similarities between (a) and (b).

The slope of a line is used to describe how steep the line is. This is expressed mathematically as;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where:

(x1, y1) and (x2, y2 are the coordinate points)

From the graph shown, we are given the coordinates M(-1, 1) and U(4, 5)

a) The slope of the line MU will be expressed as;

[tex]m=\frac{5-1}{4-(-1)}\\m=\frac{4}{5}[/tex]

The slope of the line MU is [tex]\frac{4}{5}[/tex]

The formula for calculating the equation of a line is expressed as y = mx + b

b is the y-intercept.

Substitute m = 4/5 and (-1, 1) into the expression y = mx + b

[tex]1 = -(4/5) + b\\1 = -4/5 + b\\b = 1 +4/5\\b = \frac{5+4}{5} \\b = \frac{9}{5}[/tex]

Get the required equation.

Substitute m = 4/5 and b = 9/5 into y = mx + b

[tex]y=\frac{4}{5}x+\frac{9}{5}\\5y=4x+9\\5y-4x=9[/tex]

The required equation of the line is 5y - 4x = 9

b) The formula for calculating the distance between two points is expressed as;

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

Substitute the given coordinates in (a) to get the distance MU

[tex]MU=\sqrt{(4-(-1))^2+(5-1)^2}\\MU=\sqrt{(4+1)^2+(5-1)^2}\\MU=\sqrt{(5)^2+(4)^2}\\MU=\sqrt{25+16}\\MU=\sqrt{41}[/tex]

Hence the distance MU is √41

c) There are similarities and differences in the calculations in (a) and (b). The similarities lie in the usage of the change in the coordinates for the calculation of the slope and the distance.

The difference is that we do not need the slope of the line to calculate the distance MU but the slope y-intercept is required to calculate the equation of the line.

Learn more about lines here: https://brainly.com/question/12441680 and https://brainly.com/question/15978054

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

[tex]A = wl[/tex]

w(2w + 3) = 9

From this, we get that:

[tex]l = 2w + 3, A = 9[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

[tex]w(2w+3) = 9[/tex]

[tex]2w^2 + 3w - 9 = 0[/tex]

Thus a quadratic equation with [tex]a = 2, b = 3, c = -9[/tex]

Then

[tex]\Delta = 3^2 - 4(2)(-9) = 81[/tex]

[tex]w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5[/tex]

[tex]w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3[/tex]

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at https://brainly.com/question/16995958

Answer:

Step-by-step explanation:

im pretty sure its 0.19 because the sqyare root of 49 is 7. the square root of 1250 is 35.35

7/35.35=0.19

Answer:

see below

Step-by-step explanation:

x^2+8x+26

Take the coefficient of the x term

8

Divide by 2

8/2 = 4

square it

4^2 =16

we need to add 16 to 26 = 16+10

x^2 + 8x+16  +10

(x+4)^2 +10

The answer you are looking for is (x+4)²+10.

Solution/Explanation:

Selecting the "x" term's coefficient,

It would be 8.

Now, dividing it by 2,

8/2=4.

Squaring 4,

4²=16.

So, now, since (x+4)²=x²+8x+16, you must solve for 26-16, which equals 10, which you would supplement into the equation.

So, therefore, (x+4)²+10.

I hope this has helped you. Enjoy your day.

Answer:

Below!

Step-by-step explanation:

Please provide the two points (A & B) so I can help you out with the question or...

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

where the first point = [tex](x_1,y_1)[/tex] & the second point: [tex](x_2,y_2)[/tex]

Answer

20%

Step-by-step explanation:

Answer:

14.17 kilograms

Step-by-step explanation:

Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:

99.19/7

= 14.17

So, the factory put 14.17 kilograms of tomatoes in each batch.

Answer:

A.

x = 0 corresponds to first piece of x ≤ 1, so it is:

B.

At x = 0, the value of function is:

See the attached graph for A to D parts of the question.

Triangle DEF is scalene

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The triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.

A scalene triangle is a type of triangle which have all the sides to be unequal and similarly, all the angles will also be unequal to each other.

Given that:-

it is given that all the sides of the triangle are x, x+3, and x−1 we can clearly see that for any value of x all the three sides will have different values. we can conclude from this that the triangle DEF is a scalene triangle.

Therefore triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.

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Answer:

8.7

Step-by-step explanation:

If you like my answer mark me brainliest

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

It's the third option.

Completing the square yields

x ² + 9x + 7 = 0

(x ² + 9x + 81/4) + 7 = 81/4

(x + 9/2)² + 7 = 81/4

Now solving for x gives

(x + 9/2)² = 53/4

x + 9/2 = ± √(53/4) = ± √53/2

x = (-9 ± √53)/2

Answer:

1/4x9=9/4   2 1/4, 2.25, (3/2)2

Step-by-step explanation:

The answer is 9/4 when you multiply it. But it can also be simplified as one of the answers here I wrote above.

Answer:

C

Step-by-step explanation:

That makes the third side 8 inches. Bc 34 -12 -14 = 8.

There's a formula that gives you the area of a triangle with all three sides.

It's kinda long so I won't write it out but it uses the semi-perimeter and it's called heron's formula if you want to search it up.

I just plugged the values into Heron's formula calculator.

The answer is around 47.906158268014, so C.

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

Given

Perimeter  = 34

Two sides of the triangle = 12, 14

Third side of the triangle  = Perimeter - 12 - 14

= 34 - 12 - 14

= 8 inches

According to the figure, using Pythagoras theorem

[tex]h^{2}=8^{2} -x^{2}[/tex]

[tex]h^{2}=12^{2} - (14-x)^{2}[/tex]

[tex]8^{2} -x^{2} =12^{2} -(14-x)^{2}[/tex]

[tex]64-x^{2} =144-196+28x-x^{2}[/tex]

[tex]28x=116[/tex]

[tex]x=4.14[/tex]

So, [tex]h^{2} =8^{2} -4.14^{2}[/tex]

[tex]h^{2} =64-17.15[/tex]

[tex]h=6.844[/tex]

So, the area of the triangle  = [tex]\frac{1}{2} \times 14 \times 6.844[/tex]

= [tex]47.91 \ in^{2}[/tex]

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

Find out more information about area of the triangle here

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Answer:

c

Step-by-step explanation: