An ant is walking at a speed of 42 centimeters in 5 minutes. what rate did the ant walk

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

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[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]

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Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Answer:

125

Step-by-step explanation:

82 percent of 65.6 is 125

Answer:

I hope I got your question correctly.

82% of 65.6 is 54.

Step-by-step explanation:

Consider this equation:

P%=[tex]\frac{x}{y}[/tex]

The value of P% here is 82, which is 0.82 in decimal form.

x is unknown

y is 65.6

Simply cross-multiply 65.6 and 0.82.

The result is 53.8 or 54.

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

Answer:

$72,000

Step-by-step explanation:

6000-5000=1000

1000x6 =6000

6000x12=72,000

Answer:

D≥300

Step-by-step explanation:

Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

Answer:

Option A: y-9=2(x-1)

Step-by-step explanation:

Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)

The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.

Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)

B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)

C and D are wrong because the points aren't crossed through

Answer:r=C/2π

Step-by-step explanation:

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]

[tex]c^2=5^2+2^2[/tex]

[tex]c^2=25+4[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}[/tex]

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

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Answer:

Step-by-step explanation:

-6 ≥ x

-2 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                  -6                 -2

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.          

Answer:

C. [tex] y + 2 = -3(x - 1) [/tex]

Step-by-step explanation:

All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.

Thus, equation of in point-slope form is given as [tex] y - y_1 = m(x - x_1) [/tex].

Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{1 - 0} = \frac{-3}{1} = -3 [/tex]

Substitute (x1, y1) = (1, -2) and m = -3 into [tex] y - y_1 = m(x - x_1) [/tex]

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

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

The answer is C.

Answer:

274

Step-by-step explanation:

The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.

However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)

Answer:

The mean is 5444

Step-by-step explanation:

Hope this helps!

Answer:

add and divide for the mean

Step-by-step explanation:

3860 + 5300 + 8560 + 4200 + 5360 = 27280

27280 ÷ 5 = 5456

Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.  

Answer: an arithmetic sequence

Step-by-step explanation:

Answer:

16 dollars

Step-by-step explanation:

she already owns 2 necklaces

18-2=16

1 necklace =1 dollar

16x1=16

Answer:

16 dollars.

Step-by-step explanation:

She already has 2 necklaces. For a total of 18 necklaces, she needs to pay for 16 more. One is 1 dollar so do 16 x 1 to find the amount of payment required.

Hope it helps!

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

∴ 8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]

∴ x = 3

∴ The value of x is 3

Answer:

the answer is d

Step-by-step explanation:

Answer:

[tex]x[/tex]=5

Step-by-step explanation:

Answer:

26.4%

Step-by-step explanation:

PLS GIVE BRAINLIEST

The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.

The probability of selecting a black pair of socks first is:

probability = (number of black pairs)/(total number of pairs)

= 8/17

Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.

The probability of selecting a blue or white pair of socks second is:

probability = (number of blue and white pairs)/(number of remaining pairs)

= 9/16

Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:

probability = (8/17)*(9/16)

= 27/136

To learn more about probability here:

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Answer:

(0, -50)

Step-by-step explanation:

pick any 2 points such as (100,0)  and (120,10)

to get from point (100.0) to point (120,10) you had to rise 10 and run 20

so the slope m =rise 10/run20= 1/2

the equation of the line is (y-y1)=m(x-x1)

(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)

y=( x/2)-50 if you distribute

compare this with the equation

y=mx+b wher m=slope and bb is y-intercept

so the y-intercept is -50

Answer:

b

Step-by-step explanation:

trust