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Tresset [83]
4 years ago
12

Which expression is equal to 5^4 x 5^8 ? A: 5^12 B: 5^4 C: 5^2 D: 5^−4

Mathematics
2 answers:
KiRa [710]4 years ago
8 0

When multiplying the same numbers with exponents, you can add the exponents up.

For example, a^2 \times a^3 = a^2^+^3 = a^5

5^4 \times 5^8=5^4^+^8 = 5^1^2

Your answer is A) 5^1^2.

mrs_skeptik [129]4 years ago
4 0
A is the correct answer when you multip the same numbers you just summe the exp 4+8 = 12
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I don't know how to do this question.
sergij07 [2.7K]
The perimeter is the measure around the shape, so just add all the sides together-
6+5x+x+2
6x+8
Since this is a right triangle, you multiply the legs (6 and x+2) and divide by 2
6(x+2)
6x+12
/2
3x+6
8 0
3 years ago
Combine like terms.<br> 8y – 4z + 3y + 5z = 11y + [? ]z
RoseWind [281]

Answer:

= 11y + 1z

Step-by-step explanation:

8 0
4 years ago
Convert 1.46 radian angle into degrees. Round decimal answers to nearest tenth. Use 3.14 for pi.
natulia [17]

Answer:

83.7°

Step-by-step explanation:

180° : pi

180 : 3.14

X : 1.46

180/3.14 = X/1.46

X = 1.46 × 180/3.14

X = 83.6942675159

X = 83.7°

5 0
3 years ago
A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10
True [87]

Answer:

  • Recursive formula:

                                         a_1=5;a_n=5+a_{n-1},n>0

Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

  • a_n=a_1+(d-1)n

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

  • differece = number of squares in the second layer - number of squares in the first layer.

  • d = 10 - 5 = 5

Then, the recursive formula is:

  • a_1=5;a_n=5+a_{n-1},n>0

8 0
3 years ago
earned $4200 and earned $174 in interest if one earns 3.5% and the other 4.5 % how much was invested at each rate
Leno4ka [110]
X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174

substitute x = 4200 - y into 0.035x + 0.045y = 174

0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700


x + y = 4200
x = 4200 - 2700
x = 1500

answer

$1500 in <span>3.5% 
$2700 in 4.5%</span>
8 0
4 years ago
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