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3 years ago

Can someone please help.

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer: part A: every month jim deposits $20, so every month his total balance will increase by 20$ starting from $150

Part B: The pattern is 1x for every 9y

Step-by-step explanation:

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Leanne has a gas card that has $150 on it. She spends $25 a week on gas. Write and recursive rule that represents the amount of

Tems11 [23]

In this question, it is given that

Leanne has a gas card that has $150 on it. She spends $25 a week on gas.

And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .

Recursive rule shows the relationship between previous value and the current value .

And here, the recursive rule is

$a_{n} = a_{n-1}-25n$

Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .

So for n=1, that is amount in the card after 1 week, we will get

$a_{1} = a_{1-1} -25(1)
\\
a_{1} = a_{0} -25
\\
a_{1} = 150 -25
\\
a_{1} = $125$

And that's the amount remaining in the card after 1 week .

5 0

3 years ago

What 7 coins can you use to get $0.77

Korvikt [17]

3 quarters and 2 pennies.3 quarters= $0.75 2 pennies= $0.02= $0.77

7 0

3 years ago

33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0 $ms^-2$ and g2 = 9.8 $ms^-2$

We get h1 = 3.67m which is the required height

6 0

3 years ago

Four plants orbit a star at the following distances.Which one is the closes to the star?

vredina [299]

Answer: Easily A.

Step-by-step explanation: All you have to do is look at the power of the tens. The one that is the least is A. Since none of the other choices are equal to or less than 10^7, A is your answer. In scientific notation, you almost always look at the 10^x first.

5 0

3 years ago

Please help fill in the blanks

Wewaii [24]

Answers:

Reason 4: Isosceles triangle

Reason 5: Segment Addition Postulate

Reason 6: Segment Addition Postulate

Reason 7: Substitution

Reason 8: Substitution

Reason 9: Subtraction property of equality

Reason 10: Definition of congruence

Reason 11: Vertical Angles Theorem

Reason 12: Vertical Angles Theorem

Reason 13: ASA (angle side angle) congruence theorem

==================================

Explanations:

Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.

Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.

Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"

Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out

Reason 10: If two lengths are equal, then the segments are congruent

Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.

Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.

3 0

3 years ago