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Alika [10]
3 years ago
7

in a list of numbers the pattern increases by 0.001 as you move to the right in the 3rd number in the list is 0.064 what is the

first number in the list.explain how you know
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0
0.062, 0.063, 0.064 following the pattern the first number would be 0.062. Subtract the pattern difference from the number you have each time until you reach the number you are looking for.
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48 is less than or equal to 6-7a
Julli [10]

Answer:

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7 0
3 years ago
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Reggie lost 2 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned
klemol [59]

Answer:

Increased by 290

Step-by-step explanation:

2(-30) = -60

-60 + 350 = 290

points increased by 290

If my answer is incorrect, pls correct me!

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-Chetan K

5 0
3 years ago
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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa
Nataly_w [17]

Answer:

The first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

coefficient of x^{2} in the expansion of (2+x - x^{2})^{6} = (240 - 192) = 48

Step-by-step explanation:

(2+x)^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})

= 6_{C_{0}} \times x^{0} \times 2^{6}  + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4} + terms involving higher powers of x

= 64 + 192 \times x^{1} + 240 \times x^{2} + terms involving higher powers of x

so, the first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

Again,

(2+x - x^{2})^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})

Now, by inspection,

the term x^{2} comes from k =5 and k = 6

for k = 5, the coefficient of  x^{2}  is , (-32) \times 6 = -192

for k = 6 , the coefficient of x^{2} is, 6_{C_{2}} \times 2^{4} = 240

so,   coefficient of x^{2} in the final expression = (240 - 192) = 48

3 0
3 years ago
PLEASE HELP ASAP
Igoryamba

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

~~

I hope that helps you out!!

5 0
3 years ago
AND THEN ONCE U HAVE THE ANSWER <br>FIND THE LENGTH OF AC ​
Vadim26 [7]

Answer:

AC=18

Step-by-step explanation:

To find AC, use the Pythagorean Theorem.  Since the longest side (hypotenuse) is known, instead of a²+b²=c², the equation will be c²-a²=b².  12²-8²=b²

144-64=b²

80=b²

√80=√b²

8.94427191=b

That is for one of the two right triangles that make up the tent.  Since there are 2 triangles, 8.94427191 only equals BC or AB.  So, multiply 8.94427191×2=17.88854382 to find the length of AC.

AC= 18

6 0
3 years ago
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