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VARVARA [1.3K]
3 years ago
7

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10? (5 points)

Mathematics
1 answer:
horsena [70]3 years ago
7 0
Log(4^x)=log(64)
xlog4=log64
x=(log64)/(log4)
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sergiy2304 [10]
Whit what part? Sorry i cant help
4 0
3 years ago
Find the value of x to the nearest tenth.
Lana71 [14]

Answer:

x = 14.7

Step-by-step explanation:

Use Law of Sines.

7/sin20=x/sin46

cross multiply

7sin46=xsin20

divide both sides by sin20 to isolate x

x = 7sin46/sin20

x = 14.72

3 0
3 years ago
Amelia and Jayden work at a furniture store. Amelia is paid $185 per week plus 9.5% of her total sales in dollars, xx, which can
almond37 [142]

Answer:

The weekly sales must be $12,600

Step-by-step explanation:

if their pay is the same, the equations have to be equal

amelia = jayden

185 +.095x = 311 +.085x

subtract  .085x from each side

185 +.095x-.085x = 311 +.085x-.085x

185+.01x = 311

subtract 185 from each side

185-185+.01x = 311-185

.01x = 126

divide by .01

.01x/.01 = 126/.01

x = 12600

7 0
3 years ago
Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

#SPJ4

3 0
2 years ago
Can someone please answer this question please answer it correctly please show work
Zina [86]

Answer:

34) A

35) C

36) D

Step-by-step explanation:

34) The perimeter of a triangle is equal to the sum of the lengths of its sides

Sides: (6.2p + 4.5q) + (3.4p - 0.7r) + (2.9r - 4.1q)

Combine like terms (same variables)

(6.2p + 3.4p) + (4.5q - 4.1q) + (2.9r - 0.7r)

9.6p + 0.4q + 2.2r

A

35)

Time possibilities

1 hour - $3 - $5 = $-2     No

2 hours - $6 - $5 = $1    Yes

3 hours - $9 - $5 = $4    Yes

4 hours - $12 - $5 = $7    Yes

5 hours - $15 - $5 = $10   Yes

6 hours - $18 - $5 = $13   Yes

7 hours - $21 - $5 = $16   Yes

8 hours - $24 - $5 = $19   No

9 hours - $27 - $5 = $22  No

The possible hours that Ms. Barnes can park are 2 - 7 hours

The only inequality graph that represents all of these values is C

36)

<h3>(-\frac{4}{7}) / (-\frac{3}{4}) * (-2\frac{1}{3})</h3>

Convert to improper fractions

<h3>(-\frac{4}{7}) / (-\frac{3}{4}) * (\frac{-7}{3})</h3>

Divide by finding the reciprocal

<h3>(-\frac{4}{7}) * (-\frac{4}{3}) * (\frac{-7}{3})</h3><h3 /><h3>\frac{16}{21} * -\frac{7}{3}</h3><h3 /><h3>\frac{-16}{9}</h3>

Convert back to a mixed number

-1\frac{7}{9}

D

Hope this helps :)

8 0
3 years ago
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