1. Here is an equation that represents a function: 72x +12y = 60. Select all the different equations that describe the same function: A. 120y + 720x = 600 B. y = 5 - 6x C. 2y + 12x = 10 D. y=5 + 6x E. x= 5/6 - y/6 F. 7x + 2y = 6 G. x = 5/6 + 5/6​

Use the co‐interior rule, corresponding angle rule, alternate angle rule and vertical opposite angle rule to solve the question above.

angle G5 = angle K1 reason : corresponding angles

angle J1 = angle H3 reason: vertical opposite angles

angle J2 = angle K4 reason: vertical opposite angles

angle G5 = angle K4 reason: co‐ interior angles

angle F6 = angle K4 reason: alternate angle

Answer:

659 units

Step-by-step explanation:

The length of the segment is the distance between the points.

The distance between two points on the number line is the absolute value of the difference between their coordinates. It does not matter in which order you subtract the numbers.

One point has coordinate 225.

Another point has coordinate -434.

Subtract one coordinate from the other and take the absolute value of the difference.

distance = |-434 - 225| = |-659| = 659

Answer: 659 units

Length of given line segment is 659 units

Step-by-step explanation:

Given:

First point plotted on number line = 225

Second point plotted on number line = - 434

Find:

Length of line segment

Computation:

Length of line segment = Distance between two point

(Distance between two point will be added as absolute value)

So,

Length of line segment = |-434| + |225|

Length of line segment = 434 + 225

Length of line segment =  659 units

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Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

Hi ;-)

[tex]s=zh-2zt^3\\\\z(h-2t^3)=s \ \ /:(h-2t^3)\\\\z=\dfrac{s}{h-2t^3}[/tex]

Answer:

z = [tex]\frac{s}{h-2t^3}[/tex]

Step-by-step explanation:

Given

s = zh - 2zt³ ← factor out z from each term

s = z(h - 2t³ ) ← divide both sides by h - 2t³

[tex]\frac{s}{h-2t^3}[/tex] = z

Answer:

linked below

Step-by-step explanation:

If you use desmos, it show this which is the correct graph :)

Answer:

Surface area of sphere = 4 π r²

154 = 4 × 22/7 × r²

154 = 88/7 × r²

154 × 7/88 = r²

12.25 = r²

3.5 = r

Now

Volume of sphere = 4/3 × π r³

Volume = 4/3 × 22/7 × (3.5)³

Volume = 88/21 × 42.875

Volume = 154 cm³

Volume of sphere = Volume of cube

Volume of cube = 154 cm³

Answer:

6 cm

Step-by-step explanation:

Let each side of the equilateral triangle be a.

Given, area of an equilateral triangle = 9√3 cm2

Area of an equilateral triangle = (√3)/4 × (Side)²

=> (√3)/4 × a² = 9√3

[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]

=> a² = 36

[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]

∴ Side = 6 cm  [taking positive square root because side is always positive]

Answer:

4570 species of the type A and 1540 species of the type B.

Step-by-step explanation:

A:

1st: 4 units

2nd: 5 units

B:

1st: 1 unit

2nd: 6 units

A=x, B=y

4x + 1y = 19820  units of the first nutrient

5x + 6y = 32090  units of the second nutrient

5x + 6*(19820-4x) = 32090.

       32090 - 6(19820-4x)

x= ------------------------------------- = 4570

                     5-24

y = 19820 - 4*4570 = 19820 - 18280 = 1540.

ANSWER:  4570 species of the type A and 1540 species of the type B.

Hopes this solves it.

The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given;

Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient

2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available

Now,

Let the number of bacteria of Specie A and Specie B be x and y respectively;

To find : Number of Bacteria 1 and Bacteria 2

Nutrient 1 Constraint Equation : 4x + y = 19660

Nutrient 2 Constraint Equation : 5x + 6y = 31890

Putting the value of y from 1st equation in 2nd equation;

5x + 6 (19660 - 4x) = 31890

5x + 117960 - 24x = 31890

117960 - 31890 = 19x

19x = 86070

x = 86070 / 19 = 4530 { Bacteria A}

Putting the value of x in 1st equation;

2 (4530) + y = 19660

9060 + y = 19660

y = 19660 - 9060= 10600{Bacteria B}

Therefore, the solution of equations will be 4530 and 10600

To learn more about simultaneous equations :

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Answer:

-1/2

Step-by-step explanation:

3/2 x 5/3 ÷ (-2+7)

=> 3/2 x 5/3 ÷ (-5)

=> 3/2 x 5/3 x (-1/5)

=> -1/2

Answer:

22.5 degrees and 67.5 degrees

Step-by-step explanation:

complementary angles add up to 90°

x + 3x = 90°

4x = 90

90/4 = x

x = 22.5

The first angle is 22.5

The second angle is 3 times as much

22.5 x 3 = 67.5

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

good luck

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

this is the answer

it is irrational because it cannot be expressed in a ratio of two integers

please give me brainliest .

Answer:

- 3x² + 5x

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 3x² + 6x - x ← collect like terms

= - 3x² + 5x

Answer:

option D

Step-by-step explanation:

y-intercept=-8

point(0,-8)

m=4

Using point slope form:

y-y1=m(x-x1)

y-(-8)=4(x-0)

y+8=4x

y=4x-8

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]

Step-by-step explanation:

I can't understand it so plz don't mind or else I will mind

Answer:

93.75%

This type of problem you have to REVERSE the question...

"at least one tail" is all possibilities EXCEPT "all heads"...

so your answer is 100% - P(4 heads)

P(4 heads) = (1/2)^4 = .0625

1 - .0625 = .9375

Step-by-step explanation:

Answer:

Uhh i dont rly know sry

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex][(\sqrt[4]{x^{\dfrac{3}{4}}})^{\dfrac{-4}{3}} ]^{4}[/tex]

[tex]= [(x^{\frac{3}{4}*\frac{1}{4}})^{\frac{-4}{3}}]^{4}\\\\\\= [(x^{\frac{3}{16} ) ^{\frac{-4}{3}}}]^{4}\\\\=[ x^{\frac{3}{16}*\frac{-4}{3}}]^{4}\\\\=[x^{\frac{-1}{4}}]^{4}\\\\=x^{\frac{-1}{4}*4}\\\\=x^{-1}\\\\=\dfrac{1}{x}[/tex]

Hint:

[tex](a^{m})^{n}=a^{m*n}[/tex]

Answer:

[tex]1/x[/tex]

Step-by-step explanation:

To simplify, work from the inside out.

We start with

[tex]\sqrt[4]{x^{3/4}}[/tex]

on the inside. And we can change the fourth root into a fractional exponent -- 1/4:

[tex](x^{\frac{3}{4})^{1/4}[/tex]

A power of a power means multiply the exponents, giving

[tex]x^{\frac{3}{4} * \frac{1}{4}} = x^{3/16}[/tex]

So now we have

[tex][(x^{3/16})^{-4/3}]^4[/tex]

From here, apply the "power of a power rule" again, working from the inside out.

[tex](x^{-12/48})^4[/tex]

[tex]x^{-48/48}[/tex]

[tex]x^{-1}[/tex]

or

[tex]1/x[/tex]

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

Here is your answer. Hope this helps you.

Answer:

51

Step-by-step explanation:

15= a/3 -2

17= a/3

51=a

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²

Answer:

Sqrt(-108)=6i*sqrt(3)

Step-by-step explanation:

-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota

Answer:

Step-by-step explanation:

[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]

Answer:

-12

Step-by-step explanation:

18 plus 13 is 41 29 subtracted from 41 is -12

Answer:

- $2

Step-by-step explanation:

Alex withdrew money twice, or he subtracted those amounts from the total that he had.

In this case, he withdrew $13 first, and then $18, or:

13 + 18 = 31

$31 dollars in all.

Alex had $29. Subtract the total that he withdrew from the amount he had:

29 - 31 = -2

Alex has - $2, or he owes the bank $2 with interest.

~

Answer:

635.75

Step-by-step explanation:

90π + 2π(7.5)²

~Simplify

90π + 2π(56.25)

~Multiply

282.5 + 2(176.625)

~Simplify

282.5 + 353.25

635.75

All this was simplified using PEMDAS.

Best of Luck!

Answer:

13, 24, and 34

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 24, 34, . . .

0+ 1 = 1

1+ 1 = 2

2+ 1 = 3

3+ 2 = 5

5+ 3 = 8

8+ 5 = 13

13+ 8 = 24

24+ 13 = 34

start at 1, then add the number behind it to move forward one space. repeat process.

Answer:

1.079.

Step-by-step explanation:

Use ur calculator.

Answer:

1_ 129 , 51

2_ b

3_ 40

Step-by-step explanation:

1_ we can represent the bigger angle with x and smaller one with y

and as given, y is smaller than x by 78

so y = x - 78 (1)

as x + y = 180

we put y as we did in (1)

x + x - 78 = 180

so 2x = 258

so x = 129

and y will be 51

2_ from the figure we find the two angles form one angle = 90 degree

3_ from the defenition of complementary angles

m(c) + m(d) = 90

7r + 5 + 8r + 10 = 90

15r + 15 = 90

r = 5

so m(c) will be equal 7*5 + 5 = 40