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Answer: [tex]7\times 10^{-1}[/tex]

Step-by-step explanation:

Given

[tex](4.0\times 105)\div (5.89\times 102)[/tex]

First solve the brackets part in calculator, we obtain

[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]

Answer:

V = 288π units³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or

V = (4π/3)(216 units³), or V = 288π units³

Answer:

6. Base

Step-by-step explanation:

In Mathematics, a power involves the multiplication of factors repeatedly. Thus, it's simply a multiplication (product) of repeated factors.

The base of a power is the common factor. When working with a power, the base is the number that is the common factor.

For example;

10⁴ = 10 * 10 * 10 * 10

Therefore, the base in the above expression is 10.

Additionally, the exponent is 4 and it represents the number of times the base "10" was used as a factor.

Answer:

77 - 2n

Step-by-step explanation:

77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.

Answer:

Step-by-step explanation:

B3)  

z + 127 = 180   {linear pair}

z = 180 - 127

z = 53

y=  55    {Corresponding angles}

w + z + y =  180 {angle sum property of triangle}

w + 53 + 55 = 180

   w + 108 = 180

w = 180 -108

w = 72

x = w {Vertiaclly opposite angles}

x = 72

B4)  q +  101 = 180 {Linear pair}

               q = 180 -101

              q = 79

p = 142     {Corresponding angles}

p + s = 180        {linear pair}

142 + s = 180

        s = 180 - 142

        s = 38

s +q +r = 180          {angle sum property of triangle}

38 +  79 + r = 180

          117 + r = 180

                  r = 180 - 117

                  r = 63

y + 63 = 180 {linear pair}

y = 180 - 63

y = 117

x = q = {corresponding angles}

x = 79

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

The angle of elevation to the nearest tenth of a degree is 11.54°.

An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.

In trigonometry, the angle of elevation can be determined by using the sine rule.

[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]

[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]

[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]

[tex]\mathbf{ \theta =11.54^0}[/tex]

Learn more about the angle of elevation here:

https://brainly.com/question/88158

Answer:

9h

Step-by-step explanation:

Given data

Sofia earns $9 per hour mowing lawns

Let the total amount earned be t

and let the time worked be h

Hence

t= 9*h

t= 9h

The expression is 9h

Answer:

y=4x + 3/4

Step-by-step explanation:

Answer:

equation y = 3x + b.

Step-by-step explanation:  

To come up with the equation of a line in slope intercept form, we need the slope and the y-intercept. First, substitute the given slope in for m. We get the equation y = 3x + b.

Answer:

2 in a half 6 player games and 6 and half 2 player games. hope this helps

Step-by-step explanation:

There were 7 two-player games and 6 six-player games played

What are system of equation?

A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.

Solution:

Given:

Total games = 13

Athletes participated = 50

let x denote the number of 2-player games played and

   y denotes the number of 6-player games played

Hence the equations we get are:

     x ₊ y = 13 ........eq(1)

     2x ₊ 6y = 50  this can be further reduced as

      x ₊ 3y = 25 ......eq(2)

Now, solving both the equations using elimination method then we get :

   ₋2y = ₋12

      y = 6

Here we can notice that x is eliminated.

Now substitute y value in eq(1) then we get x as 7.

Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.

Learn more about "System of equations" here-

brainly.com/question/2226590

#SPJ2

Answer:

17m-7

Step-by-step explanation:

product means multiplication so we multiply 17 times m.

17m

and 7 less than 17m is subtraction

17m-7

Answer:

17m-7

Step-by-step explanation:

m = The height

7 less than the product ( Multiply) 17 and m.

so 17m-7

Answer:

radius of circle = 3cm

circumference = 18.84cm

diameter = 6cm

Step-by-step explanation:

if the diameter of circle is 6cm

radius of circle = diameter/2

                         = 6/2

                         = 3

circumference of circle = 2[tex]\pi[/tex]r

                                       = 2 x 3.14 x 3

                                       = 6.28 x 3

                                       = 18.84

Answer:

w = 16, x = 11, y = 6, z = 7.5

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Then by proportion

[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )

3w = 48 ( divide both sides by 3 )

w = 16

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

[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]

4x = 36

x = 9

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

[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]

3y = 18

y = 6

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

[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]

4z = 30

z = 7.5

Answer:

B

Step-by-step explanation:

In an artihmetic sequence, there is a constant difference between two consecutive terms.

So for instance:

[tex]-6 -(-3) = -3[/tex]

[tex]-3 -0 = -3[/tex]

[tex]0 - 3 = -3[/tex]

As you can see there is a difference of [tex]-3[/tex] from one term to the next

____________________________

You can also find the constant difference the other way around, for instance

[tex]3-0=3[/tex]

[tex]0-(-3) = 3[/tex]

[tex]-3-(-6) = 3[/tex]

In this example, you can see that each term is [tex]3[/tex] higher than the previous term

I hope this helps!!

Answer:

meow meow

Step-by-step explanation:

Answer:

x=58

Step-by-step explanation:

Answer:

x=26 degree

Step-by-step explanation:

x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)

x+154=180

x=180-154

x=26 degree

therefore the value of x is 26 degree.

Answer:

[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]

[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]

Base

Now

Answer:

x= -34/3

Step-by-step explanation:

just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3

Answer:

[tex]\frac{686\pi }{3}[/tex] or 718.3775

Step-by-step explanation:

Formula:

[tex]\pi r^2\frac{h}{3}[/tex]

we have

[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]

An

Step-by-step explanation:

Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

Answer:

a= $29,505. it. is useful answer

[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]

[tex] \underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: y - y_{1} = \frac{y_{2} - y _{1}}{x_{2} - x_{1}} (x - x_{1})}}}[/tex]

[tex] \large{ \tt{↦y - ( - 1) = \frac{12 - ( - 1)}{ - 7 - ( - 7)} \{x - ( - 7) \}}} [/tex]

[tex] \large{ \tt{↦y + 1 = \frac{12 + 1}{ - 7 + 7}(x + 7)} }[/tex]

[tex] \large \tt \:↦ \: y + 1 = \frac{12}{0} (x + 7)[/tex]

[tex] \large{ \tt{↦ \: y + 1 = 12(x + 7)}}[/tex]

[tex] \large{ \tt{↦y + 1 = 12x + 96}}[/tex]

[tex] \large{ \tt{↦ \: 12x + 96 = y + 1}}[/tex]

[tex] \large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}[/tex]

[tex] \large{ \boxed{ \tt↦12x - y + 95 = 0}}[/tex]

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Answer:

x<7

therefore {x:x<7}

Step-by-step explanation:

x-4<3

x<3+4

x<7

Answer: B)  [tex]0 \le y \le 100[/tex]

====================================================

Explanation:

The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.

So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]

The range in interval notation is [0, 100]. The square brackets say to include the endpoints.

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

Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.

Answer:

4

[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]

Answer:

4). 0.00000302

corecct answer