Find the simplified form of the expression. Give your answer in scientific notation.(4x10^10)(9x10^-5)

Answers

Answer 1
Answer: It's answer will be 36x10^5As we have(4x10^10)(9x10^-5)All terms of this expression are being multipliedSo we will solve it in two parts, simple terms and terms having powers(4x9)(10^10x10^-5)As we know when same terms having some powers are multiplied, their powers are added(36)(10^(10-5))(36)(10^5)So it will become36x10^5
Answer 2
Answer:

Answer:

The answer in C

Step-by-step explanation:


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The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.

Answers

QR=9
QP=6
TU=19
TS=?
Okay so the triangles are kindred, now the equation can be made
9/16=6/x
So now we are going to cross multiply
9x=114
Now divide both sides by
912 2/3
Your answer is:
TS=12.6

Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?A. $28,865.00
B. $28,911.50
C. $27,275.00
D. $28,908.50

Answers

Answer: D. $28,908.50


Step-by-step explanation:

Given: Cost price of car= $26,500

Cost of options= $725

Therefore, the total cost=$26,500+ $725=$27225

As there is a 6% sales tax in his state .

⇒ Tax amount = 6% of Total cost

=0.06*\$27225=\$1,633.5

⇒Tax amount=$1,633.5

Combine $50 licence, registration fee and tax amount to the total cost , we get

Total cost=$27225+$1,633.5+$50

∴Total cost=$28,908.5

Adding the basic car costing and the additional options costing, we have (26500 + 725) = $ 27 225. Since sales tax is to be included for the payment, Ray must pay for 1.06 of the basic cost. Which is equal to 1.06(27 225) = $ 28 858.50 Adding the license and registration fee into the price, we have $28 908.50. Hence, the total cost is D: $28, 908.50.

A line has the equation y= 6x + 19 What are the coordinates of the y-intercept of the line

Answers

Answer:

coordinates of y- intercept = (0, 19 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 19 ← is in slope- intercept form

with slope m = 6 and y- intercept c = 19 or in coordinate form (0, 19 )

Rachel can buy licorice sticks for $0.75 and cherry candies for $0.50 and has a budget of $25. If her expenses are represented by the equation 0.75x + 0.5y = 25, where x is the number of licorice sticks and y is the number of cherry candies, how many cherry candies can she buy if she wishes to spend the entire $25 on cherry candies?

Answers

Answer:

She can buy 50 cherry candies if she wishes to spent the entire $25 on cherry candies

Step-by-step explanation:

Cost of each licorice sticks = $0.75

Cost of each cherry candy = $0.50

Total budget = $25

Equation to represent her expenses is 0.75x + 0.5y = 25

where x is the number of licorice sticks and y is the number of cherry candies

Let the number of cherry candies she can buy be c.

So,

Cost of each cherry candy * Number of cherry candies = Total budget

=> 0.50 x c = 25

We get

0.50c = 25

We need to eliminate 0.50 from the left so we divide both sides by 0.50

(0.50c)/(0.50)=(25)/(0.50)

Cancelling out 0.50 from the top and bottom of the left side we get,

c = 50

So, she can buy 50 cherry candies if she wishes to spent the entire $25 on cherry candies.

She will be able to buy 50 candies if she wish to spend her entire 25 dollars on only cherry candies.

What is -0.1 + (-513.5) + 513.5?

Answers

Answer:

-0.1

Step-by-step explanation:

Just looking at the expression, -513.5 and 513.5 cancel out because they equal 0. So all you have left is -0.1

Hope this helped! :)

What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?1.) 13,300
2.) 4,192.16
3.) 1,457.68
4.) 17,492.16

Answers

To answer this question we have to first determine how many times 100 can go into 13,300. To find this we do the following:


$13,300/$100 = 133


Now we simply multiply the result by $2.74:


$2.74*133 = $364.42.


Finally we just multiply that by the total number of payments which are (monthly payment, 12 months in a year, for 4 years).


$364.42*(12*4) ---> $364.42*48 = $17,492.16.


The correct answer is choice 4.) 17,492.16


I hope this helps, Regards.

Answer:

17,492.16

Step-by-step explanation: