Solve for x in the inequality below. 5 > -3x - 1 A. -2 > x B. 2 > x C. 2 < x D. -2 < x
3x³+25x²+42x-40=0
How to solve this equation in detail
if 12 newborn babies are randomly selected, how many different gender sequences are possible?
The question concerns the different combinations or sequences possible in a group of 12 newborn babies, each of whom could be either male or female. Using the formula 2ⁿ, where n represents the number of babies, we find there are 4096 different gender sequences possible.
Explanation:This question pertains to combinations, specifically the different combinations of male and female sequences possible with a random selection of 12 newborn babies. When considering gender sequences, we have two possibilities for each newborn, male (M) or female (F).
With 12 newborns, each having two possible genders, we calculate the total gender sequences as 2 raised to the power of 12, based on the rule of the product in probability theory. Therefore, we use the formula 2n, where 'n' is the number of babies. Here, 'n' is 12, so 212 gives us 4096.
So, there are 4096 different gender sequences possible when 12 newborn babies are randomly selected.
Learn more about Combinations here:https://brainly.com/question/39347572
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Experts/ace/geniuses helpp
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 plasma TV is on sale at a 22% discount. The sale price is $776.10. What was the orginal price?
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.
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
-21 is located to the right or left of -20
Fran painted 1/2 of the fence around her house. What are two other ways to name 1/2?
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?
If the central angle is 60 degrees, what is its arc measure?
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.
Which expression is equivalent to 3*5*5*5*5*5*5
Answer:
Step-by-step explanation:
3(5)6
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).
Solve for x and y.
y=x^2-5x+1
x+y=-2
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. :) :) :) :) :) :) :)
What is the area of triangle with base 5m and height 12m
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 !!!!!!!
Samantha had 300 beads 30% were black 25% were red 15% were white.the remaining beads are blue. how many were blue?
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:
nee help with y this question
1+3x/4=5/2 Solve the proportion for x. A.7/5 B.3 C.5 D.6
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:
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)
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
a triangular prism and two nets are shown which is the correct net of the prism and what is the surface area of the prism???
A)net A with 420 square inches
B) net A with 480 square inches
C) net B with 510 square inches
D) net B with 534 square inches
what is the probability of picking a red card from a standard deck of 52 cards?
Answer: 50
Step-by-step explanation:
Plz help i want to learn how to do this math
Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny 5.25
per pound, and type B coffee costs 4.15
per pound. This month, Jenny made 150
pounds of the blend, for a total cost of
642.60. How many pounds of type B coffee did she use?
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?