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3 years ago

Which expression is equal to 5^4 ⋅ 5^8?

Mathematics

2 answers:

svet-max [94.6K]3 years ago

6 0

The correct answer is A: 5^12.

alex41 [277]3 years ago

3 0

It should be A. You would keep the 5, and the exponent should be 4+8, which is 12.

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What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)

andre [41]

<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

$(4k + 159)^{\circ}$

And another arc, let's call it FGH. measures:

$(2k + 153)^{\circ}$

If those arc are equal, then this equation is true:

$(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3$

Substituting k into the first equation:

$\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}$

3 0

3 years ago

Read 2 more answers

123,10kg to the nearest kg

DENIUS [597]

Answer:123,000

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Add the following:

PIT_PIT [208]

Step-by-step explanation:

1) 7/23 + 11/23 + 9/23

7+11+9/23

27/23

= 1 4/23

2) 2 5/7 + 9 4/7

11 9/7

= 11.12

3) 9/20 + 3/5

9+12/20

21/20

= 1 1/20 or 1.05

8 0

3 years ago

Which of the following must be true?

galben [10]

Answer:

answer is B because in the property of parallelogram it says ad is parallel to bc

6 0

2 years ago

Solve: log4(7t + 2) = 2

IRISSAK [1]

Answer:

The required value of t is equal to 2

Step-by-step explanation:

We need to solve the following expression :

$\log_4(7t+2)=2$

Now, using the base rule :

$2=\log_4(4^2)\\\\\implies 2= \log_4(16)$

Now, using this value of 2

$\log_4(7t+2)=2\\\\\implies\log_4(7t+2)=\log_4(16)\\\\\implies 7t+2=16\\\\\implies 7t=16-2\\\\\implies 7t=14\\\\\implies t = 2$

Hence, The required value of t is equal to 2

3 0

3 years ago