Answer:
[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.
Step-by-step explanation:
In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]
You obtain: [tex]\frac{10x^{2} }{y}[/tex]
Now, you have to replace the given values of x and y in the previous expression:
x=3 and y=2
[tex]\frac{10(3)^{2} }{2}[/tex]
Solving the square:
[tex]\frac{(10)(9)}{2}[/tex]
Solving the multiplication and division:
[tex]\frac{90}{2} = 45[/tex]
The answer is 45
9999+8888+777+?=19700
It is 76 miles from waterton to middleton. it is 87 miles from middleton to oak hill. driving directly, it is 134 miles from waterton to oak hill. it is 39 miles rom oak hill to jackson. if juan drives from waterton to middleton then from middleton to oak hill, and finally home to waterton, how many miles does he drive?
Juan drives a total of 297 miles if he travels from Waterton to Middleton, then to Oak Hill, and back to Waterton.
Explanation:The student is asking to calculate the total number of miles driven by Juan starting from Waterton to Middleton, then from Middleton to Oak Hill, and then returning home to Waterton.
To find the total distance traveled by Juan, we simply need to add the individual distances of each leg of his trip.
Waterton to Middleton: 76 milesMiddleton to Oak Hill: 87 milesOak Hill to Waterton (directly): 134 milesBy adding these distances, we get the total miles Juan drives:
Total miles driven = 76 + 87 + 134 = 297 miles
A diver is swimming at sea level (0), when he suddenly sees a shark and quickly dives under water. He dives 3 meters in 1 second. He continues to descend for 15 seconds. What is the diver's final position?
PLEASE HELP WITH THIS QUESTION! WILL MARK BRAINLIEST
Riley made a scale drawing of a triangular clock face. Riley used a scale factor of 3 when making her drawing. If the base and the height of Riley's drawing are 10 centimeters and 15 centimeters respectively, what is the area of the triangular clock face?
A. 75 square centimeters
B. 225 square centimeters
C. 675 square centimeters
D. 2,700 square centimeters
Answer:
we know that[scale factor ]=[real]/[drawing][real]=[drawing]*[scale factor ]step 1find the real valuesif the base of Riley's drawing is 10 centimeters [real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cmthe base of the triangular clock face is 30 cmthe height of Riley's drawing is 15 centimeters [real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cmthe height of the triangular clock face is 30 cmthe area of the triangular clock face is-----> 45*30/2-------> 675 cm²the answer is the option C. 675 square centimeters
Step-by-step explanation:
3x³+25x²+42x-40=0
How to solve this equation in detail
Plz help! :) Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
5
-5
1/5
-1/5
P.s. I already know the answers, just giving away some points! the answer is 1/5. :)
also, here is a math joke for my math homies:
There's a fine line between a numerator and a denominator. :) :) :)
Only a fraction of you will understand this. :) :)
Some people appreciate these jokes, some don't, and the division is very clear. :) :) :) :) :) :) :)
Write a polynomial expression for the perimeter of a rectangle whose sides have the following lengths. Length: x2+3x-5 Width: 3x2-2x+6 A. 8x2+8x+2 B.8x2+2x+2 C.4x2+x+1 D. 4x2-5x+1
Final answer:
The perimeter of the rectangle with given dimensions is represented by the polynomial 8x^2 + 2x + 2, which corresponds to option A.
Explanation:
To determine the perimeter of a rectangle, we need to add up all sides of the rectangle. The formula for the perimeter (P) of a rectangle is P = 2(length) + 2(width). Given the length is x2 + 3x - 5 and the width is 3x2 - 2x + 6, we would calculate the perimeter as follows:
P = 2(x2 + 3x - 5) + 2(3x2 - 2x + 6)
Expanding this expression:
P = 2x2 + 6x - 10 + 6x2 - 4x + 12
Combining like terms gives us:
P = (2x2 + 6x2) + (6x - 4x) + (-10 + 12)P = 8x2 + 2x + 2
So the correct polynomial expression for the perimeter of the rectangle is option A: 8x2 + 2x + 2.
Final answer:
The polynomial expression for the perimeter of the rectangle with given side lengths is 8x^2 + 2x + 2.
Explanation:
The perimeter of a rectangle is given by the formula P = 2l + 2w, where l represents the length and w represents the width. For the lengths provided, the length (l) is x2 + 3x - 5 and the width (w) is 3x2 - 2x + 6. To find the polynomial expression for the perimeter, we will multiply both the length and the width by 2 and then sum them:
Perimeter (P) = 2(x2 + 3x - 5) + 2(3x2 - 2x + 6)
On simplifying:
P = 2x2 + 6x - 10 + 6x2 - 4x + 12
P = (2 + 6)x2 + (6 - 4)x - (10 - 12)
P = 8x2 + 2x + 2
Therefore, the correct polynomial expression for the perimeter is 8x2 + 2x + 2, which corresponds to option B.
Carly has a coupon for 15% off the
price of a camera. The camera has
an original cost of $234.00. How
much will the camera cost after the
discount?
Answer: The diagram should have five columns, one for each 25% and one for the total, because 25% is 1
4
of 100%. It should have 2 rows, 1 for percents and 1 for dollar amounts.
Step-by-step explanation:
Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
The proof that 10⁹ + 10⁸ + 10⁷ is divisible by 555; Is true and has been proved below
Divisibility of Numbers
Let the number N be expressed as;
10⁹ + 10⁸ + 10⁷
We can factor out 10⁷ to get;
⇒ 10⁷(100 + 10 + 1)
⇒ 10⁷(111)
⇒ 10 × 10⁶(111)
We can factorize 10 further to get;
5 × 2 × 10⁶(111)
⇒ 555 × 2 × 10⁶
Since the answer contains 555, then we can say that it is divisible by 555.
Read more on divisibility of numbers at; https://brainly.com/question/14871175
The amount of money Jamie earns is proportional to the number of hours she works. Jamie earns $62.50 working 5 hours. 1) Write an equation that models the relationship between m, the amount of money Jamie earns in dollars, and h, the number of hours she works. 2) How much money would Jamie earn for 11 hours of work?
A plasma TV is on sale at a 22% discount. The sale price is $776.10. What was the orginal price?
at an airport it costs $7 to park for up to one hour and $5 per hour for each additional hour. let x represent the number of hours parked. write the function that modles the cost, C(x), of the parking x hours, where x is an integer greater then 1.
Answer:
C(X) = 7 + 5(X-1)
Step-by-step explanation:
So, the cost for parking from 0 to 1 hour is $7. Then, for one extra hour, from 1 to 2, you have to pay an additional $5. For another hour, from 2 to 3, an extra $5, and so on. So, lets make a quick table:
Hours Cost
[0-1] $7
(1-2] $7+$5
(2-3] $7+$5+$5
(3-4] $7+$5+$5+$5
So, for 1 hour the cost is $7, for 2 hours $12, 3 hours $17, 4 hours $22, and so on. We can see a pattern here: the cost for X hours is $7 plus $5 for each hour greater than 1. So we can write the cost function as:
C(X) = 7 + 5(X-1)
If X=2, 2 hours, the cost is:
C(2) = 7 + 5(2-1) = 7 + 5 = 12, so the function fits.
Notice that here I used the parenthesis in a (--] form, however, it could also be used in a [--) form. If the last is chosen, 2 hours would cost $17 instead of $12. The function would be C(X) = 7 + 5X.
As the statement does not specifies, any of this ways can be used.
A customer tells you that they will call at 3PM Eastern Standard Time. If you are located in the Pacific Standard Time Zone (which is 3 hours earlier), when should you expect the call?
Answer:
At midday. In a 24 hours clock, 12:00, in a midday format 12 PM.
Step-by-step explanation:
In order to calculate this you just have to withdraw the hour difference between both the Eastern Standar Time and the Pacific Standar Time, which normally are 3 hours of difference, since he is in the Eastern Standar Time, that means he is 3 hours ahead of you, so in order to calculate the hour at which you should expect the call, you have to withdraw 3 hours frmo 3 P.M which would make it midday or 12 P.M
Nancy is running 5.3 miles long after 20 minutes she has run 1.45 miles solve the equation to find the number of miles Nancy has to run to get to the end of the trail
Michael sold 23 of his CDs and purchased 16 more. If Michael has 25 CDs now, how many CDs did he have to begin with?
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller?10 and 20
If the central angle is 60 degrees, what is its arc measure?
Anyone have a scientific calculator? Can you put in
Sin (40/42)
make sure the mode is set to degree please.
If the constant c is chosen so that the curve given parametrically by ct, c 2 16 t 2 , 0 ≤ t ≤ 3 , is the arc of the parabola 16y = x 2 from (0, 0) to (8, 4), find the coordinates of the point p on this arc corresponding to t = 2.
Final answer:
The coordinates of point p corresponding to t = 2 on the specified parametric curve, when matching the arc of the parabola 16y = x^2, are (8, 2).
Explanation:
The student is asking to find the coordinates of the point p corresponding to t = 2 on the curve defined parametrically by ct, [tex]c^2/16[/tex] × [tex]t^2[/tex] where c is chosen such that the curve becomes the arc of the parabola 16y = x² from (0, 0) to (8, 4).
To find c, we match the parametric equations to the standard form 16y = x², which implies c = 4 because for any point (x, y) on the parabola, y must equal [tex]x^2/16[/tex].
Substituting t = 2 into the corrected parametric equations x = 4t and y = 4 · [tex](t^2/16)[/tex], we obtain the coordinates of point p as (8, 2).
Experts/ace/geniuses helpp
How far does a ball, hit from a height of 3 feet at a speed of 120 feet per second and an angle of 30 degrees, go before it hits the ground? Round your answer to the nearest integer.
Solve for x in the inequality below. 5 > -3x - 1 A. -2 > x B. 2 > x C. 2 < x D. -2 < x
What is the area of triangle with base 5m and height 12m
1+3x/4=5/2 Solve the proportion for x. A.7/5 B.3 C.5 D.6
A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches. What is the difference in volume between the prism and the storage container? Enter your answer in the box as a simplified mixed number or a decimal.
Answer: 4.25
Reason too trust my answer :
I took the 5 question quiz on K12 online 6th grade math during quarintine, Hope this helpssss !!!!!!!
The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the perimeter to the nearest tenth of a foot and the area to the nearest square foot. Both have the diameter 20
The perimeter of the fountain = 94.2 ft
The area of the fountain = 628 ft²
Area of a CircleThe formula of the area of a full circle is: πr².Area of semicircle = ½(πr²)Area of quarter circle = ¼(πr²)Perimeter of a CirclePerimeter of a full circle = 2πrPerimeter of semicircle = ½(2πr)Perimeter of quarter circle = ¼(2πr)Given:
Diameter of the semicircle = 20 ft
Therefore, Radius (r) = half of diameter = 10 ft
Radius of the quarter circle = 20 ft
Perimeter of the fountain = ½(2πr) + ½(2πr) + ¼(2πr)
Plug in the values of rPerimeter of the fountain = ½(2π(10)) + ½(2π(10)) + ¼(2π(20))
Perimeter of the fountain = 94.2 ft
Area of the fountain = 2(½(πr²)) + ¼(πr²)
Plug in the values of rArea of the fountain = 2(½(π10²)) + ¼(π20²)
Area of the fountain = 628 ft²
Learn more about area of a circle on:
https://brainly.com/question/12269818
Sam buys 4 tropical fish. Each fish is 5/8 of an inch long. Write an equation that represents 4 x 5/8 as a multiple of a unit fraction.
Paul has a white and blue shirt he also has two trousers of brown and black how many different outfits
Fran painted 1/2 of the fence around her house. What are two other ways to name 1/2?
Which of the following is not found on a check?
A. Account owner's social security number
B. Account owner's name and address
C. Routing number
D. Account numberund on a check?
A. Account owner's social security number
Step-by-step explanation:
A. Account owner's social security number - is not found on a check
The social security number is a 9 digit code given to the citizens of USA. This number is used to keep a track of a person's total working years and his total income in a lifetime, for general welfare purposes.
Hence, this is not found on a check.
The personal information that is present on a check are a person's name and address, account number and routing number. (routing number is a code for banks based on its location)