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Stolb23 [73]
3 years ago
8

What is the best estimate for the product of 289 and 7

Mathematics
1 answer:
Katarina [22]3 years ago
7 0
I would estimate it as (300 x 7) = 2100 

Then I would subtract (11 x 7) + 77 from that to get the exact answer of 2023 

~~~~~~~~~~ 
I didn't use a calculator or paper. The 'trick' is to notice that 289 = (300 - 11)
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It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equatio
Andru [333]

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression

<h3>What is an extraneous solution?</h3>

An extraneous solution is a solution that in obtained after completely solving an equation but it does not  work in the original given equation.

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression (Option D).

Learn more about extraneous solution: brainly.com/question/14054707

#SPJ1

7 0
2 years ago
What is negative 48 plus 14
leva [86]

Answer: negative 34

Step-by-step explanation:

just take away 14 to 48 and put a negative infront

7 0
2 years ago
3) What is the SURFACE AREA of the solid with the given measurements? Square Pyramid base edge 4 cm, slant height 11 cm​
atroni [7]

Answer:

Step-by-step explanation:

height h = 11 cm

slant height s = 11.180339887499 cm

side length a = 4 cm

lateral edge length e = 11.357816691601 cm

1/2 side length r = 2 cm

volume V = 58.666666666667 cm3

lateral surface area L = 89.442719099992 cm2

base surface area B = 16 cm2

total surface area A = 105.44271909999 cm2

4 0
3 years ago
Two angles are supplementary if the sum of their measures is 180.
anastassius [24]
True.

two angles would be complementary if the sum of their angle measures is 90 degrees.

60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.
4 0
3 years ago
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
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