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Sholpan [36]
2 years ago
10

Which number is closest to - 102 (square root)? A. -11.5 B. -10.0 C. -9.7 D. -11.1

Mathematics
2 answers:
sineoko [7]2 years ago
8 0

Answer:

B po

Step-by-step explanation:

this is the real answer

10.0995049

report me if I'm wrong

andre [41]2 years ago
3 0

Answer:

B. -10.0

Step-by-step explanation:

-10.0² = -100

thus= -10.0 is the closest to -102 (square root)

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How do you Solve d+7/−3=4?
vova2212 [387]

Answer:

One solution was found :

                  d = 19/3 = 6.333

Step-by-step explanation:

Step by step solution :

Step  1  :

            7

Simplify   ——

           -3

Equation at the end of step  1  :

        7    

 (d +  ——) -  4  = 0

       -3    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  -3  as the denominator :

         d     d • -3

    d =  —  =  ——————

         1       -3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

d • 3 + 7 • -1     3d - 7

——————————————  =  ——————

      3              3  

Equation at the end of step  2  :

 (3d - 7)    

 ———————— -  4  = 0

    3        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        4     4 • 3

   4 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(3d-7) - (4 • 3)     3d - 19

————————————————  =  ———————

       3                3  

Equation at the end of step  3  :

 3d - 19

 ———————  = 0

    3  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3d-19

 ————— • 3 = 0 • 3

   3  

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3d-19  = 0

Solving a Single Variable Equation :

4.2      Solve  :    3d-19 = 0

Add  19  to both sides of the equation :

                     3d = 19

Divide both sides of the equation by 3:

                    d = 19/3 = 6.333

One solution was found :

                  d = 19/3 = 6.333

6 0
3 years ago
Americans consume about 13,150,000,000 gallons of carbonated drinks each year. Express this number in scientific notation.
ExtremeBDS [4]

It would be 1.315 × 10¹⁰.

8 0
3 years ago
When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the fo
MariettaO [177]

Answer:

(x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )

Step-by-step explanation:

Given

\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)

Required

Determine x2, y2

Start by splitting the expression

x_m = \left(\frac{x_1+\:x_2}{2}) and y_m = (\frac{y_{1\:}+y_2}{2})

Solving for x2 in x_m = \left(\frac{x_1+\:x_2}{2})

Multiply through by 2

2 * x_m = \frac{x_1 + x_2}{2} * 2

2x_m = x_1 + x_2

Make x2 the subject;

x_2 = 2x_m - x_1

Similarly:

y_m = (\frac{y_{1\:}+y_2}{2})

Multiply through by 2

2 * y_m = \frac{y_1 + y_2}{2} * 2

2y_m = y_1 + y_2

Make y2 the subject;

y_2 = 2y_m - y_1

Hence:

(x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )

7 0
3 years ago
How to factorize a²-21ab-100b²
Galina-37 [17]
(a-25b)(a+4b)=0
Use the quadratic formula or complete the square by looking at the factors
8 0
3 years ago
Write an expression for the eighth partial sum of the series using summation notation
balandron [24]

Answer:

option B

Step-by-step explanation:

9/10 + 6/5 + 3/2...........

We find the difference between the terms

\frac{6}{5} - \frac{9}{10}

\frac{12}{10} - \frac{9}{10} = \frac{3}{10}

We will get the same difference when we subtract consecutive terms.

so , d= 3/10, a= 9/10

we find the formula for nth term

a_n = a+(n-1) d

a_n = \frac{9}{10} + (n-1)\frac{3}{10}

a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}

a_n = \frac{6}{10} +\frac{3}{10}n

a_n = \frac{3}{5} +\frac{3}{10}n

we need to find eighth partial sum so we  take n=1 to 8

sum of 8 terms (\frac{3}{5} +\frac{3}{10}n)

So option B is correct


4 0
3 years ago
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