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4 years ago

Simplify 3^2 × 3^7 What is the value of the exponent?

Mathematics

1 answer:

scoundrel [369]4 years ago

4 0

theeeee answeeer is 189 (I made the e's longer BC it says it need to be longer)

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A triangular pane of glass has a height of 30 inches and an area of 270 square inches. what is the length of the base pane

Tems11 [23]

The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.

To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.

3 0

3 years ago

What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2? Negative StartFraction 1 Over 196 EndFraction

Nookie1986 [14]

Answer:

Step-by-step explanation:

Assuming, we want to find the value of $((-14)^0)^{-2}$

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to $(1)^{-2}$ since $(-14)^0=1$

Now using the property of exponents: $a^{-n}=\frac{1}{a^n}$

This implies that: $1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1$

The correct answer is 1

5 0

3 years ago

Read 2 more answers

24. If Jenna spent 30 hours on the computer this week. how much total time did she spend on

Verdich [7]

Option B) 3 hours is the time spent by Jenna on the e-mail this week.

<u>Step-by-step explanation:</u>

Jenna spent 30 hours on the computer this week.

The amount of time she spends on computer to work on various fields in given in the pie-chart.

This 30 hours represents her 100% work on computer.

From the figure shown,

She spent 10% of her total work on e-mail.

Therefore, 10% of 30 is the work done in hours by her on e-mail.

⇒ (10/100) × 30

⇒ 0.1 × 30

⇒ 3 hours

∴ Option B) 3 hours is the time spent by Jenna on the e-mail this week.

7 0

3 years ago

Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0

3 years ago

Read 2 more answers

What percent of 75 is 25

nikdorinn [45]

P / 100 = 25 / 75;

p = 2500 / 75 ;

p = 33.33;

p% = 33.33%

4 0

3 years ago

Simplify 3^2 × 3^7 What is the value of the exponent?​

Simplify 3^2 × 3^7 What is the value of the exponent?