Tell whether the system has one​ solution, infinitely many​ solutions, or no solution.

Answer: 475 Add 5 more.

Step-by-step explanation:

Answer:

X = 20

Step-by-step explanation:

The two angles are vertical.

62 = (2 + 3x)

60 = 3x

60/3 =

20

You were correct

3 1/2 = 7/2

7/2 ÷ 1/4

7/2 × 4/1

14/2

7 pieces

hope it helps...!!!

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation of the function f  with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

A function assigns the value of each element of one set to the other specific element of another set.

A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,

x=3

x-3=0

The second solution is,

x=-9

x+9=0

Multiply both factor for the function as,

f(x)=(x-3)(x+9)

f(x)=x²+9x-3x-27

f(x)=x²+6x-27

This is the required function. The graph of this function is attached below.

Thus, the equation of the function f  with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

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Answer:- The answer is letter B, c=1.75n

Step-by-step explanation: Hope this helps.

Answer:

vp=1186380cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation: hi it’

A percentage is a way to describe a part of a whole. The amount of water in the bottle originally is 800 mm.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the water in the bottle at the very initial be x.

Given that after reduction the amount of water in the bottle is 120 millimetres, also, the water is reduced by 85%, therefore, the amount of water that will be in the bottle is 15% of the original.

Water in the bottle = 15% of x

120 mm = 0.15 × x

x = 800 mm

Hence, the amount of water in the bottle originally is 800 mm.

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Step-by-step explanation:

1 and 2 are negative

3 and 5 are none

4 and 6 are positive

The value of a, when the geometric mean of two numbers a and 12 is 8√6 is equal to the number 32.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

For Geometric sequence, the value of  geometric mean can be found out using the following formula,

[tex]x=\sqrt{ab}[/tex]

Here, (a and b) are the two terms of geometric sequence.

The geometric mean of a and 12 is 8√6. Thus,

[tex]x=8\sqrt{6}[/tex]

[tex]b=12[/tex]

Put this value in formula to find the value of a,

[tex]8\sqrt{6}=\sqrt{a\times12}\\[/tex]

Square both side of equation,

[tex](8\sqrt{6})^2=(\sqrt{a\times12})^2\\64\times6=12a\\a=\dfrac{64\times6}{12}\\a=32[/tex]

Thus, the value of a, when the geometric mean of two numbers a and 12 is 8√6 is equal to the number 32.

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The value of the given expression in terms of s will be [(s + 0.602)/3].

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

If [tex]\log(16) = s[/tex]

Then the value of the given expression in terms of s is given below.

[tex]\dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)[/tex]

We know the property of the logarithm.

[tex]\log 100 = 2[/tex]

Then we have

[tex]\rm \rightarrow \dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)\\\\\\\rightarrow \dfrac{2}{3} \times ( \log 16 + \log 4 + \log 100 ) - \dfrac{1}{3} \times (\log 16 + \log 100)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 0.602+2) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 2.602 ) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2 (s + 2.602) - (s - 2)}{3} \\\\\\\rightarrow \dfrac{s + 0.602}{3}[/tex]

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Answer:

[tex]-\dfrac{b^2}{16a^4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{(2a)^{-2}b^5}{-4a^2b^3}[/tex]

[tex]\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}[/tex]

Separate the variables:

[tex]\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}[/tex]

[tex]\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

[tex]\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

Simplify:

[tex]\implies -\dfrac{b^2}{16a^4}[/tex]

Answer:

D.

Step-by-step explanation:

When you survey every 3rd person you will use that as a good sample for the survey. Hope this helps!

Answer:

The bigger angle is 57 degrees

The smaller angle is 33 degrees

Step-by-step explanation:

complimentary is that two angles will add up to 90 degrees

Lets say one angle is x, and the other is y.

the smaller angle is x, so it is be x-24degrees

x+(x-24)=90

2x=114

x=57 degrees

y=33degrees

If the dimension of the rectangular prism will be 11 by 8 by 4. Then the volume of the rectangular prism will be 352 cubic yards.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A rectangular prism and its net are shown below.

Then the volume of the rectangular prism will be

Volume = LWH

where

Width (W) = 8 yd

Length (L) = 11 yd

Height (H) = 4 yd

Then the volume will be

Volume = 11 × 8 × 4

Volume = 352 yd³

Then the volume of the rectangular prism will be 352 cubic yards.

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Answer:

Step-by-step explanation:

f(x) = x/(x-7)

The domain is C

7/(7-7) = 7/0 = undefined

Answer:

Step-by-step explanation:

There are 10 girls in an athletics club.

e ratio of girls to boys is 5:3.

w many boys are there?

we can solve with an equation

10 : x = 5 : 3

x = 10 * 3 : 5

x = 30 : 5

x = 6

---------------

Answer:

4 more hours

Step-by-step explanation:

wednesday+thursday=7

monday+tuesday=3

7-3=4

Answer:

it is said to be a regular polygon.

Step-by-step explanation:

A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.

Answer:

Yes.

Step-by-step explanation:

y/x = 2.22.....  for all the 4 points given.

The graph is a straight line with slope 2.22....

140/63 = 2.2222... also so this is included in the realtionship

Answer:

The absolute value of negative 1/2 is  1/2

Step-by-step explanation:

The absolute value of a number is the positive form of the number

Answer:

Simplified answer = C = $0.65m + $24.65

Step-by-step explanation:

Add the two initial charges together (from the insurance and the standard charge) and you get $24.65.  Then add the two charges together for each mile which is $0.65 per mile.  Therefore, the total charge on the car is $24.65 + 65 cents every mile driven.

Answer:

32.5 hours

Step-by-step explanation:

Total hours

6.5 x 5

32.5 hours

Answer:

8%

Step-by-step explanation:

assume simple interest rate = r

interest = 1000 * 4 * r = 320

r = 320/4000 = 0.08 = 8%

The perimeter of the polygon of sides as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4 is 1227 /20.

The perimeter of the polygon is the measure of the sum of the sides of the given figure.

The sides are given as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4

The perimeter of the polygon = 9/2 + 17/2 + 52/5 + 52/5 + 64/5 + 59/4

                                                  = 26/2 + 168/5 + 59/4

                                                  = 111/4 + 168/5

                                                  = 555 + 672 / 20

                                                  = 1227 /20

Thus, The perimeter of the polygon is 1227 /20.

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Answer:

[tex]4.25-\sqrt{3}.[/tex]

Step-by-step explanation:

1) tan45=1; sin60=√3/2; cot30=√3; sec45=√2, then

2) 3-0.75-√3+2=4.25-√3 (it is ≈2.5179492).