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Naddik [55]
2 years ago
7

Jordan builds a miniature catapult for the science fair. He documents how far the catapult can throw a small rock for his report

. Jordan measures the longest distance as 8 yards. He needs to convert the measurement to meters for his science fair report. How many meters did the catapult throw the rock? Round your answer to the nearest tenth. The catapult threw the rock meters.
Mathematics
2 answers:
pychu [463]2 years ago
6 0

Answer:

7.3

Step-by-step explanation:

for e2020 users

GrogVix [38]2 years ago
3 0

The rate to convert yards to meters is

1 \text{ yard}=0.9144\text{ meters}

So, if you multiply both sides by 8, you get

8 \text{ yards} = 8\times 0.9144 = 7.3152 \text{ meters}

To round the answer to the nearest tenth, we need to choose between 7.3 and 7.4. Since the hundreths digit is 1, which is less than 5, 7.3 is nearest to 7.3152 than 7.4, so the correct answer is 7.3

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For each of the following, decide if the given series is a geometric series. A. 5+25x+125x2+625x3+3125x4+⋯ : Is this a geometric
Westkost [7]

Answer:

A. Yes.

B. Yes.

C. No.

Step-by-step explanation:

A. Yes. The sum of the series, 5 + 25x + 125x^{2} + 625x^{3} + 3125x^{4} + ........... is the sum of a geometric series.

The first term of the series a_n = 5.

The common ration or the ratio between successive terms (r) = \frac{25x}{5} = 5x (Answer)

B. Yes. The sum of the series, 5x^{7} + 5x^{8} + 5x^{9} + 5x^{10} + ............ is also the sum of a geometric series.

The first term of the series a_n = 5x^{7}.

The common ration or the ratio between successive terms (r) = \frac{5x^{8} }{5x^{7} } = x (Answer)

C. No. The sum of the series, 5 + 5x + 5x^{2} + 5x^{4} + 5x^{8} + ........... is not the sum of a geometric series.

The first term of the series a_n = 5.

(Answer)

5 0
2 years ago
The number that is x more than 2x+1
polet [3.4K]

Answer:-1

Step-by-step explanation:x>2x+1=x-2x>1

-x>1,x<- 1

7 0
2 years ago
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What’s the domain and range?<br><br> An airplane travels at 565 mph.
viktelen [127]

Answer:

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).

Step-by-step explanation:

Domain is the input, set of x values for the function.

Range is the output, set of y values for the function.

This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.

<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>

<em />

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).

4 0
2 years ago
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like alg
Yuki888 [10]

Answer:

Step-by-step explanation:

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total.

If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.

Therefore,

x+45-x+53-x+6=75.

Solve this equation:

104-x=75,\\\\x=104-75,\\\\x=29.

You get that:

29 students like both subjects;

45-29=16 students like only algebra;

53-29=24 students like only geometry;

24+6=30 students do not like algebra;

16+6=22 students do not like geometry.

a = 29, b = 16, c = 24, d = 30, e = 22

<h3>The correct choice is D.</h3>

5 0
2 years ago
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Andrew is buying pencils, and he wants to buy fewer than 25. He plans to give 75% of the pencils to his students and save three
sweet-ann [11.9K]

Answer:

50%

Step-by-step explanation:

the will have 75minis 25

4 0
2 years ago
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