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blondinia [14]
2 years ago
5

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Mathematics
1 answer:
Stolb23 [73]2 years ago
5 0

The expression 10^{t^2+2t-3} is equivalent to the expression (10^{t+3})^{t-1

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression:

10^{t^2+2t-3}\\\\=10^{t^2+3t-t-3}\\\\=10^{[t(t+3)-1(t+3)]}\\\\=10^{(t-1)(t+3)}

The expression 10^{t^2+2t-3} is equivalent to the expression (10^{t+3})^{t-1

Find out more on equation at: brainly.com/question/2972832

#SPJ1

You might be interested in
Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr
Katena32 [7]

Answer:

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

<u>d = 5 ⇒ s = 2 * 5 = 10</u>

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

<u>We proved d = 5 and s = 10 are correct</u>

3 0
3 years ago
A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon
Fittoniya [83]

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) +  ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

#SPJ1

4 0
1 year ago
YO HELP ME OUT PLEASE!!!!
11111nata11111 [884]

Answer:

20%

Step-by-step explanation:

3/15 x 100

= 100/5

= 20% Ans

Hope I made it in time

8 0
3 years ago
Helpp I have pictures
Lera25 [3.4K]

Answer:

2³ · 11

Step-by-step explanation:

                                                             88

                                                  2                     44

                                                                  2            22

                                                                               2       11

Prime factorization: 2³ · 11

8 0
3 years ago
Read 2 more answers
Solve for G<br><br> •1.00<br> •36.03<br> •90<br> •43.34<br> •46.66<br> •7.55
g100num [7]

Answer:42.98

Step-by-step explanation:

Hf=√(11^2-8^2)

Hf=√(121-64)

Hf=√(57)

Hf=7.5

11/sin90 =7.5/sinG

Sin90=1

11/1=7.5/sinG

Cross multiply

11 x sinG=7.5 x 1

11sinG=7.5

Divide both sides by 11

11sinG/11=7.5/11

sinG=0.6818

G=sin(inverse)(0.6818)

G=42.98

6 0
3 years ago
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