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2 years ago

Please help! i will give 20 points

Mathematics

1 answer:

Tom [10]2 years ago

3 0

Answer:

Jamie is closer to Cameron

Step-by-step explanation:

Arthur is 12 meters away from Cameron, and Jamie is 8 meters away from Cameron. That is assuming is grid tile is a meter.

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The prime factorization of 236

mafiozo [28]

Answer:

The prime factors are: 2 x 2 x 59

or Written in exponential form: 2^2 x 59^1

Step-by-step explanation:

236 ÷ 2 = 118 - No remainder! 2 is one of the factors

118 ÷ 2 = 59 - No remainder! 2 is one of the factors

59 ÷ 59 = 1 - No remainder! 59 is one of the factors

together we have the factors 2 x 2 x 59 = 236

3 0

3 years ago

Read 2 more answers

The left and right page numbers of an open book are two consecutive integers whose sum is 335 find these page numbers.

almond37 [142]

Answer:

167 and 168

you divide 335 by 2, you get 167.5

so it's gonna be either 166 and 167 or 167 and 168

then you add up 166 and 167, you get 333 (so this is not the answer)

it means the answer is 167 and 168 (167+168=335)

hope it helped, sorry for my bad english

if something is not clear, write a comment I'll answer

3 0

2 years ago

Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$

Anna [14]

Answer:

$\large\boxed{1\dfrac{1}{3}\ u^2}$

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

$x^2=\sqrt{x}\qquad\text{square of both sides}\\\\(x^2)^2=\left(\sqrt{x}\right)^2\\\\x^4=x\qquad\text{subtract}\ x\ \text{from both sides}\\\\x^4-x=0\qquad\text{distribute}\\\\x(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\\\\x^3-1=0\qquad\text{add 1 to both sides}\\\\x^3=1\to x=\sqrt[3]1\to x=1$

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

$\int\limits_{0}^1(\sqrt{x})dx-\int\limits_{0}^1(x^2)dx=(*)\\\\\int(\sqrt{x})dx=\int\left(x^\frac{1}{2}\right)dx=\dfrac{2}{3}x^\frac{3}{2}=\dfrac{2x\sqrt{x}}{3}\\\\\int(x^2)dx=\dfrac{1}{3}x^3\\\\(*)=\left(\dfrac{2x\sqrt{x}}{2}\right]^1_0-\left(\dfrac{1}{3}x^3\right]^1_0=\dfrac{2(1)\sqrt{1}}{2}-\dfrac{2(0)\sqrt{0}}{2}-\left(\dfrac{1}{3}(1)^3-\dfrac{1}{3}(0)^3\right)\\\\=\dfrac{2(1)(1)}{2}-\dfrac{2(0)(0)}{2}-\dfrac{1}{3}(1)}+\dfrac{1}{3}(0)=2-0-\dfrac{1}{3}+0=1\dfrac{1}{3}$

6 0

3 years ago

Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard.

Ray Of Light [21]

Since the unit rate is $1.93 per yard, you need to multiply the number of yards by 1.93. So 1.93 x 3 = 5.79. Next, you convert 5% to a decimal, which is 0.05. Now, multiply 5.79 by 0.05, which is about 0.29. Finally, add 0.29 to 5.79, giving you the answer of 6.08. Alice payed $6.08; D.

4 0

2 years ago

Andy and Samantha are performing an experiment in a science lab. The number of bacteria cells recorded by Andy in his experiment

-Dominant- [34]

Andy will record 6x + 5 bacteria cells, while Samantha will record 2^x + 3 bacteria cells. These will be equal at a time when:
6x + 5 = 2^x + 3
Plotting both of these shows that they are equal when x = 5 and y = 35.
Therefore, the number of bacteria cells will be equal at 35, at t = 5 hours.

7 0

3 years ago

Read 2 more answers