Abdul has a rope that is 6 meters long. He cuts away a piece that is 2.39 meters long. How long is the remaining piece of rope?

Answer:

1

Explanation:

1 is the mode due to the fact that it is repeated the most times out of all of the numbers in the expression that you gave (1 appears four times, whereas 2 only appears once, 3 only appears twice, 4 appears three times, and 5 also appears three times).

The point that approximates the solution for Tenisha's system of equations is (1, 1.4).

given functions are:

[tex]f(x) =log_{3} 5x\\\\f(x) = log_{5} (2x+8)[/tex]

One needs to plot the graphs and can get the intersection points of these two functions on coordinate axes and intersection points will be the required solution.

Find the attached graph

In the attached graph, we can see that the intersection point of given functions is approximately (1, 1.4)

Therefore, the point that approximates the solution for Tenisha's system of equations is (1, 1.4).

To get more about the graphs visit:

https://brainly.com/question/14323743

Subtract the difference:

2690 - 284 = 2406

Divide by 2:

2406 / 2 = 1203

Ricky Had 1,203

Pedro had 1203 + 284 = 1,487

Answer:

B

Step-by-step explanation:

Plug in coordinates to see if they match the answer.

It's easier in slope-intercept form, so lets change it first.

-2x+y=7

+2x    +2x

y=2x+7

Now we can plug in the coordinates to see if they match.

Lets try A.

11=2(-2)+7

11=-4+7

11=3

A is incorrect.

Lets try B.

11=2(2)+7

11=4+7

11=11

B is a solution, therefore is on the graph.

Answer:

the correct answer is : b

Step-by-step explanation:

Range = Highest Value - Lowest Value

Range = 3686 - 31 = 3650 million

Mean = (803 + 487 + 348 + 3686 + 730 + 31) / 6 = 1,014.17

Median = 608.5

No mode

That's possible when function tends to zero

[tex]\\ \rm\hookrightarrow 0.25x^2-x+9.5=0[/tex]

[tex]\\ \rm\hookrightarrow 1/4x^2-x+19/2=0[/tex]

[tex]\\ \rm\hookrightarrow x^2-x+38=0[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{1\pm\sqrt{1-152}}{2}[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{1\pm\sqrt{151}i}{2}[/tex]

Answer:

8.5 ft

Step-by-step explanation:

[tex]f(x) = 0.25x^2 - x + 9.5[/tex]

To find the minimum point of the function, differentiate:

[tex]f'(x) = 0.5x - 1[/tex]

set to zero and solve for x:

[tex]f'(x) =0\\ \implies0.5x - 1=0\\\implies x=2[/tex]

Substitute found value of x into function to find y (height):

[tex]f(2) = 0.25(2)^2 - 2 + 9.5=8.5[/tex]

Therefore, the lowest point on the bottom edge of the banner is 8.5 ft above the floor.

Answer:

[tex] \frac{ {5}^{x + 3} - 50 \times {5}^{x - 2} }{41 \times {5}^{x} } \\ \\ \frac{ ({5}^{x} \times {5}^{3}) - 50 \times ( {5}^{x} \times {5}^{ - 2} )}{41 \times {5}^{x} } [/tex]

Divide the numerator and denominator ÷ 5^x

[tex] \frac{ {5}^{3} - 50 \times {5}^{ - 2} }{41} \\ \\ \frac{ {5}^{3} - 50 \times \frac{1}{ {5}^{2} } }{41 } \\ \\ \\ \frac{ {5}^{3} - \frac{50}{ {5}^{2} } }{41} \\ \\ \\ \frac{ {5}^{3} - \frac{50}{25} }{41} \\ \\ \\ \frac{ {5}^{3} - 2 }{41} \\ \\ \\ \frac{(5 \times 5 \times 5) - 2}{41} \\ \\ \\ \frac{125 - 2}{41} = \frac{123}{41} = 3[/tex]

Answer:

Given equation:

[tex]\sqrt{30-2x} =x-3[/tex]

Square both sides:

[tex]\implies (\sqrt{30-2x})^2 =(x-3)^2[/tex]

[tex]\implies 30-2x =(x-3)^2[/tex]

Expand the right side:

[tex]\implies 30-2x =x^2-6x+9[/tex]

Add [tex]2x[/tex] to both sides:

[tex]\implies 30 =x^2-4x+9[/tex]

Subtract 30 from both sides:

[tex]\implies x^2-4x-21=0[/tex]

Factor:

[tex]\implies (x-7)(x+3)=0[/tex]

Therefore,

[tex]x-7=0 \implies x =7[/tex]

[tex]x+3=0 \implies x=-3[/tex]

Substitute both values of [tex]x[/tex] into the original equation to check:

[tex]x=7 :[/tex]

[tex]\implies\sqrt{30-2(7)} =7-3[/tex]

[tex]\implies 4=4[/tex]

correct!

[tex]x=-3[/tex]

[tex]\implies\sqrt{30-2(-3)} =-3-3[/tex]

[tex]\implies 6 \neq =-6[/tex]

incorrect!

Therefore, [tex]x=7[/tex] is the only correct solution, and [tex]x=-3[/tex] is the extraneous solution

**Extraneous solution: a root of a transformed equation that is not a root of the original equation**

Answer:

Step-by-step explanation:

Answer:

Hello! The answer is 8 : 1

Step-by-step explanation:

9 x 8 = 72

72 x 8 = 576

There is a pattern here.

_AnnieTheDreamGirl, 3/9/2022

Area of a circle = pi x r^2

Area of the pizza = pi x 6 ^2 = 36pi

half the pizza = 36pi/2 = 18 pi

answer: 18pi

Answer:

23/46 or 1/2

Step-by-step explanation:

10+23+13 = 46

23/46 = 1/2

Step-by-step explanation:

Area =L×B

when a=60 inches ^2

b- 12 inches

L =?

60= L× 12

L= 60/12

L= 5

The inequality that can be used to determine whether the bag can be sold is; x + 7 >= 60

According to the question;

It then follows that since, the expected mass should be 60 grams.

The required inequality is; x + 7 >= 60

Read more on inequalities;

https://brainly.com/question/24372553

Answer:

[tex]\displaystyle -\sqrt{3} - 2[/tex]

Explanation:

If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:

[tex]\displaystyle \boxed{1\frac{1}{2}\pi} = \frac{18}{12}\pi[/tex]

If you did not notise, [tex]\displaystyle 1\frac{7}{12}\pi,[/tex]or [tex]\displaystyle \frac{19}{12}\pi,[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle 1\frac{1}{2}\pi,[/tex]which means the exact value will either be a radical, followed by an integer or just a radical. In this case, accourding to the unit circle, you will have a radical, followed by an integer, and that will be this:

[tex]\displaystyle \frac{sin\:1\frac{7}{12}\pi}{cos\: 1\frac{7}{12}\pi} = tan\:1\frac{7}{12}\pi \\ \\ \boxed{-\sqrt{3} - 2} = \frac{sin\:1\frac{7}{12}\pi}{cos\: 1\frac{7}{12}\pi}[/tex]

It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.

*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs. In addition, sinse you ALREADY have both values for sine and cosine [accourding to your PREVIOUS QUESTION ASKED], all you need to do is divide both values in the order given above to arrive at the exact value for [tex]\displaystyle tan\:1\frac{7}{12}\pi.[/tex]

I am joyous to assist you at any time.

The equation of the sum of any two squares x and y is x^2 + y^2 = (x + y)^2 - 2xy

The question is incomplete, as there are no parameters to determine the last digit of the first number.

So, I will give a general explanation

The sum of squares of two numbers x and y is:

[tex]x^2 + y^2 = (x + y)^2 - 2xy[/tex]

Assume the numbers are 5 and 6, then the equation becomes

[tex]5^2 + 6^2 = (5 + 6)^2 - 2*5*6[/tex]

Evaluate

[tex]5^2 + 6^2 = 61[/tex]

Read more about sum of squares at:

https://brainly.com/question/52031

Answer:

Answers 1 and 3

Step-by-step explanation:

Substitute 10 for x and 5 for y in both equations and solve.

First equation:

2x - 5y = -5

2(10) - 5(5) = -5

20 - 25 = -5

-5 = -5

True statement

Second equation:

x + 2y = 10

10 + 2(5) = 10

10 + 10 = 10

20 = 10

Not a true statement

Answer:

You can draw any line basically as long as it hits the point (0,3) once and only once.

So linear line.

Draw a straight line from point (0,3) on a coordinate plane from any two points, as long as it hits (0,3)

For example yuou can graph (0,3) {must} and then you can graph like 1,2 or something and then you got a line that passes throguh (0,3) unless specified slope or otherwise

Answer:

y= 1x + 3

Picture as an example:

Answer:

half

Step-by-step explanation:

Answer:

1/2 of the mango or half

Step-by-step explanation:

Answer: A, C

Step-by-step explanation:

a) True since this is when the graph intersects the x axis.

b) False, this is a minimum, not a maximum.

c) True, this is tue turning point.

d) False, the axis of symmetry is x=-3, not y=-4.

Answer:

[tex] \sin(47) = \frac{y}{5} \\ 0.7 \times 5 = y \\ y = 3.5[/tex]

[tex] {5}^{2} = {3.5}^{2} + y {}^{2} \\ \\ {x }^{2} = 25 - 12.25 \\ 12.75 \\ = 3.5[/tex]

Answer:

Last one

Step-by-step explanation: