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3 years ago

There was a graph on the test

Mathematics

2 answers:

Rashid [163]3 years ago

7 0

Answer:

Step-by-step explanation:

Download pdf

Sveta_85 [38]3 years ago

4 0

Answer:

sanamakatulong syo pasensya ma baka Mali yan

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4. Which property of operations is used to write 15x + 9 as 9 + 15x?

suter [353]

Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.

8 0

3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0

3 years ago

Jules reads that 1 pint is equivalent to 0.473 liters. He asks his teacher how many liters there are in a pint. His teacher resp

andrey2020 [161]

One pint is equivalent to 0.473 liters which is approximately 0.47 liters if rounding off nearest to hundredth decimal places and 0.5 liters if rounding off nearest to tenth places.

Further explanation:

Jules reads that one pint is equivalent to 0.473 liters.

$1\,\,{\text{Pint}}=0.473\,\,{\text{liters}}$

But according to his teacher, one pint is about 0.47 liters.

$1\,\,{\text{Pint}}\approx0.47\,\,{\text{liters}}$

His teacher round off a value of one pint in liters nearest to hundredth places.

Also according to his parents, one pint is about 0.5 liters.

$1\,\,{\text{Pint}}\approx0.5\,\,{\text{liters}}$

His parents round off the value of one pint in liters nearest to tenth place.

Therefore, his parents and teachers are both right approximately.

Thus, one pint is equivalent to 0.473 liters which is approximately 0.47 liters if rounding off nearest to hundredth decimal places and 0.5 liters if rounding off nearest to tenth places.

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12 brainly.com/question/1600376

2. 9 ten thousands ÷ 10 in unit form brainly.com/question/4786449

3. What is the value of the digit 4 in the number 84 230 brainly.com/question/106975

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimal system

Keywords: Hundredth, pint, decimal places, liters, teacher, approximately, divisor, kg, share, rounding off

3 0

3 years ago

Plssssss plsssssss help me Graph y= –3x+4.

Simora [160]

Theres a site called desmos that graphs stuff for you

5 0

3 years ago

Read 2 more answers