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3 years ago

PLEASE HELP!!! TIMED QUESTION!!! NOT A TEST NOR QUIZ!!!!

Mathematics

1 answer:

natita [175]3 years ago

8 0

Answer:

LCD=280

Step-by-step explanation:

Equivalent Fractions with the LCD

1/8 = 35/280

2/7 = 80/280

4/5 = 224/280

Solution:

Rewriting input as fractions if necessary: 1/8, 2/7, 4/5

For the denominators (8, 7, 5) the least common multiple (LCM) is 280.

LCM(8, 7, 5)

Therefore, the least common denominator (LCD) is 280.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/8 = 1/8 × 35/35 = 35/280

2/7 = 2/7 × 40/40 = 80/280

4/5 = 4/5 × 56/56 = 224/280

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Find the distance between each pair of points.

BigorU [14]

Answer:

Distance between the points (-3,1) and (1, -2),

$\sqrt{ {(1 + 3)}^{2} + {( - 2 - 1)}^{2} }$

$= \sqrt{ {(4)}^{2} + {( - 3)}^{2} }$

$= \sqrt{16 + 9} = \sqrt{25} = 5$

Option C

8 0

4 years ago

The radius of a cylindrical water tank is 6 ft, and its height is 9 ft. What is the volume of the tank?

Alex17521 [72]

Answer:

1017 square ft.

Step-by-step explanation:

pi x r x r x h

3.14 x 6 x 6 x9 =1017.36

rounding to the nearest whole number, the answer is 1017 square feet

5 0

2 years ago

(30 points for answering! If you show steps I will give brainliest!)

Serjik [45]

The width of park is $\frac{7}{4}$ miles.

Step-by-step explanation:

Given,

Area of park = $\frac{7}{8}\ square\ miles$

Length of park = $\frac{4}{8}\ mile$

Let,

w be the width of park.

Area = Length * Width

$\frac{7}{8}=\frac{4}{8}w$

Multiplying both sides by $\frac{8}{4}$

$\frac{8}{4}*\frac{7}{8}=\frac{8}{4}*\frac{4}{8}w\\\frac{7}{4}=w\\w=\frac{7}{4}\ mile$

The width of park is $\frac{7}{4}$ miles.

Keywords: area, rectangles

Learn more about rectangles at:

#LearnwithBrainly

3 0

3 years ago

Find n for which the nth iteration by the Bisection Method guarantees to approximate the root of f(x) = 2x^2 − 3x − 2 on [−2, 1]

Lady_Fox [76]

Answer:

n = 29 iterations would be enough to obtain a root of $f(x)=2x^2-3x-2$ that is at most $10^{-8}$ away from the correct solution.

Step-by-step explanation:

You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).

$n\geq \frac{log(\frac{b-a}{\epsilon} )}{log(2)}$

We know

a = -2, b = 1 and ε = $10^{-8}$ so

$n\geq \frac{log(\frac{1+2}{10^{-8}} )}{log(2)}\\n \geq 29$

Thus, n = 29 iterations would be enough to obtain a root of $f(x)=2x^2-3x-2$ that is at most $10^{-8}$ away from the correct solution.

You can prove this result by doing the computation as follows:

From the information given we know:

$f(x)=2x^2-3x-2$
$\epsilon = 10^{-8}$

This is the algorithm for the Bisection method:

Find two numbers a and b at which f has different signs.
Define $c=\frac{a+b}{2}$
If $b-c\leq \epsilon$ then accept c as the root and stop
If $f(a)f(c)\leq 0$ then set c as the new b. Otherwise, set c as the new a. Return to step 1.

We know that $f(-2)=2(-2)^2-3(-2)-2=12$ and $f(1)=2(1)^2-3(1)-2=-3$ so we take $a=-2$ and $b=1$ then $c=\frac{-2+1}{2} =-0.5$

Because $1-(-0.5)\geq 10^{-8}$ we set $c=-0.5$ as the new b.

The bisection algorithm is detailed in the following table.

After the 29 steps we have that $6\cdot 10^{-9}\leq 10^{-8}$ hence the required root approximation is c = -0.50

8 0

3 years ago

Use the data for the books each class donated for a book drive and find the upper quartile. 28 15 40 45 27 19 50 36 42 37 21 25

alexdok [17]

Answer:

Step-by-step explanation:

when you find the median you split the numbers in half from the upper to lower parts of the data. then you find the median of the upper part and that is the upper quartile.

median: 32

32, 36, 37, 40, 42, 45, 50

add 40+42 then divide by 2 and you get 41

hopefully this helps

6 0

3 years ago