Answer:
A = x² + 11x + 30
Step-by-step explanation:
For a given rectangle
Length (l) = x + 5
Breadth (b) = x + 6
Now,
Area of rectangle
A = l × b
= (x + 5) × (x + 6)
= x² + 6x + 5x + 30
A = x² + 11x + 30
Thus, The area of rectangle in the form of polynomial is
x² + 11x + 30
-TheUnknownScientist
The functions f(x) and g(x) are shown on the graph.
fx) = x²
What is g(x)?
10-
у
g(x)
f(x)
5
(1,4)
+
10
-5
5
-5
-10
O A. g(x) = 4x²
B. g(x) = (3x)2
O C. g(x) = (x+4)2
D. g(x) = (x - 4)2
Answer:
A
Step-by-step explanation:
it goes through the vertex so that means it is not moved so that rules out C and d
seeing the y value for 1 is 4 that means that it has to be A
Answer:
A
Step-by-step explanation:
by using the eqn to find for a straight line
slope = ∆y/∆x
(1,4) and (0,0) since both points are in the line
slope = 4
then,
y-y'=slope(x-x')
y-4=4(x-1)
y-4=4x-4
y=4x-4+4
y=4x
but the graph is parabolic thus
y=4x^2
this is how I did it I have no idea to do anything else so hope it works
When Lavaughn moved into a new house, he planted two trees in his backyard. At the
time of planting, Tree A was 30 inches tall and Tree B was 15 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 5 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Write an equation for each situation, in
terms of t, and determine which tree is taller after 6 years.
PLSSS HELPPPP
The height of Tree A t years after being planted can be represented by the equation:
A = 30 + 2t
This equation states that the initial height of the tree (30 inches) plus the annual growth of the tree (2 inches per year) multiplied by the number of years that have passed (t) will give the current height of the tree.
The height of Tree B t years after being planted can be represented by the equation:
B = 15 + 5t
This equation states that the initial height of the tree (15 inches) plus the annual growth of the tree (5 inches per year) multiplied by the number of years that have passed (t) will give the current height of the tree.
To determine which tree is taller after 6 years, we can substitute t = 6 into each equation and compare the results:
A = 30 + 2(6) = 30 + 12 = 42 inches
B = 15 + 5(6) = 15 + 30 = 45 inches
Tree B is taller than Tree A after 6 years because 45 inches is greater than 42 inches.
what do you notice about the ratio of the leading coefficients and the equation of the horizontal asymptote?
The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.
The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.
Here we have given that the ratio of the leading coefficients and the equation of the horizontal asymptote.
The term horizontal asymptote is known as a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.
As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.
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The function shown the the graph is f(x) =
Options
x^4-2x^2+5x+6
x^3-2x^2-5x+6
x^3-2x^2+5x+6
-x^4-2x^2+5x+6
pls help asap,,
Answer:
B
Step-by-step explanation:
We will first look at the end behavior of the graph
Is it down then up which means that the degree is 3 and the coeficcent is positive
this leaves B or C
We then know that the x intercepts are (-2,0) (1,0) (3,0)
The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!
looking at the B we have
-2³-2*-2²-5(-2)+6
this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)
You can also factor it and find the zeroes that way, but it's just more work
The perimeter of the rectangle below is 96 units. Find the length of side RS.
Write your answer without variables.
S
R
2z + 3
P.
3z
Answer:
96÷3=32z
sorry if I'm wrong
brainiest please
Can someone please help I don’t understand
Answer:201,06
Step-by-step explanation: the formula for the A in the circle is A= r*r*pi
r=8
pi=3,14
A=8*8*3,14=201,06
Surface area please help :)0
Answer:
960
Step-by-step explanation:
This is a triangular prism. It has 5 faces. Two faces are congruent triangles. The other 3 faces are rectangles.
SA = 2 × ½bh + L₁W₁ + L₂W₂ + L₃W₃
SA = 2 × ½ × 10 in. × 24 in. + 10 in. × 12 in. + 26 in. × 12 in. + 24 in. × 12 in.
SA = 960 in.²
No stealing points!!!!!
Answer:
8.74x10^5
Step-by-step explanation:
I think this is it..hope it helps
8.8*10^5 - 6000 = 874000 =8.74 x 10^5 in scientific notation.
A concession srand sells lemonade for $2 each and sports drinks for $3 each. It sells 54 cups of lemonade and some sports drinks. The total money collected for these items is $204. How much money collected from sports drinks
Answer: $96
Step-by-step explanation:
# of lemonade sold time the amount for one cup of lemonade = Total $ for lemonade.
Total $ for lemonade - Total $ overall = Total $ for sports drinks
how much usd for 800 yen?
Since, 1 JPY = 0.0077 USD in Jan 27, 2023 08:45 UTC
Therefore, based on above information :
800 Japanese Yen 5.93 US Dollar.
The yen is the official currency of Japan. It is the third most traded currency on the foreign exchange market, after the US dollar (USD) and the euro. It is also widely used as the third key currency after the US dollar and the euro.
After World War II, the yen lost much of its pre-war value. To stabilize the Japanese economy, the yen exchange rate was fixed at 360 yen per US dollar under the Bretton Woods system. When this system was abolished in 1971, the yen was devalued and became liquid. After peaking at 271 yen per dollar in 1973, the yen appreciated to 271 yen per dollar due to the oil crisis in 1973, reaching 227 yen per dollar in 1980.
Another option is to do the calculations manually using simple mathematical formulas. However, for this you need to know the current exchange rate. As of this writing, one yen is worth $0.007.
Once you know this information, multiply the amount in JPY by the current exchange rate.
The resulting number shows how much you need to spend on your trip in US dollars.
Manual Currency Conversion Example
Suppose you have 100,000 yen and want to calculate how much money you will need to travel to the United States. Using the current exchange rate, the conversion formula would be
100,000 yen x 0.007 = $700
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Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
A zoo records the weight of a newborn elephant as 200 pounds….
Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?
Answer:
Red=10 Pink=30
Step-by-step explanation:
you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red
Mason recently bought seven boxes. A week later half of all his boxes were destroyed in a fire. There are now only 22 boxes left. With how many did he start with
Step-by-step explanation:
if mason had recently bought seven boxes and half of them got destroyed in a fire which is 1/2, and there are now only 22 boxes left soo im
using based on the info it gave me sorry if its wrong
-Find the final amount of boxes left:
-If mason had bought in seven boxes recently and after 1/2 if gone and results in 22 that should be in logic 44 since 22×2=44
-to find the box he started with when he also bought in 7 boxes we should be 37 and then add 7 to get 44
The final answer is : 44
Circumference and Area of Circles
A circle has an area of 1256 square inches. What is the diameter of the circle. Use 7 = 3.14
O 10 in
O 20 in
O 40 in
O 60 in
Step-by-step explanation:
Area of a circle = #r^2
1256 = 3.14 × r^2
r^2 = 1256/3.14
r^2 = 400
Square root of r = 20
Diameter = 2 × r = 2 × 20 = 40 inches
Can somebody help me with this please
Simplify
\(-3\sqrt{5}+3\sqrt{6}-2\sqrt{54}\)
Answer:
-3/5 -3/6
Step-by-step explanation:
how many integers between 2020 and 2400 have four distinct digits arranged in increasing order? (for example, 2357 is one such integer.)
Answer:
15
Step-by-step explanation:
You want the number of rising numbers between 2020 and 2400.
Rising numbersA "rising number" has digits that strictly increase from left to right.
The smallest rising number greater than 2020 is 2345. The largest rising number less than 2400 is 2389.
In this number range, the first two digits must be 23, and the remaining two digits are distinct and chosen from {4, 5, 6, 7, 8, 9}. Once a pair of digits is chosen, it can be arranged in increasing order, so the number of rising numbers is the number of ways 2 can be chosen from 6.
C(6, 2) = 6!/(2!(6 -2)!) = 6·5/(2·1) = 15
There are 15 distinct integers between 2020 and 2400 that have their digits in increasing order.
__
Additional comment
They are ...
2345, 2346, 2347, 2348, 2349,
2356, 2357, 2358, 2359, 2367,
2368, 2369, 2378, 2379, 2389
Please help!
Solve the inequality for x
#19
Answer:
Step-by-step explanation:
2x - 13 - 8x + 5 ≥ -7
-6x - 8 ≥ -7
-6x ≥ 1
x ≤ -1/6
in a right triangle with integer length sides, the hypotenuse has length $39$ units. how many units is the length of the shorter leg?
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (called the "legs") is equal to the square of the longest side (called the "hypotenuse").
In other words, if we let $a$ and $b$ be the lengths of the two legs, and $c$ be the length of the hypotenuse, we have:
$a^2 + b^2 = c^2$
In this case, we know that the hypotenuse has length 39 units, so we can write:
$a^2 + b^2 = 39^2 = 1521$
We also know that $a$ and $b$ are both integers, since they are the lengths of sides of a triangle. We can use this information to try out different values of $a$ and see if any of them result in a value of $b$ that is also an integer.
One way to do this is to start with $a=1$ and see what value of $b$ makes the equation $a^2 + b^2 = 1521$ true. We can rewrite this equation as:
$b^2 = 1521 - a^2$
If we plug in $a=1$, we get:
$b^2 = 1521 - 1^2 = 1520$
Now we need to find a perfect square that is less than or equal to 1520, since that will give us a value of $b$ that is an integer. The largest perfect square that is less than or equal to 1520 is $36^2 = 1296$, so we can try plugging in $b=36$:
$36^2 = 1296$
$1^2 + 36^2 = 1297$
This is close, but not quite right – we need the sum of the squares to be 1521, not 1297. We can try again with a larger value of $a$, and keep going until we find a value that works. This process can be a bit tedious, but fortunately there is a shortcut – we can use the fact that $a$ and $b$ must be the lengths of sides of a triangle to narrow down our choices.
Specifically, we know that in a triangle, the length of any side must be less than the sum of the lengths of the other two sides. In this case, we have a right triangle with hypotenuse length 39, so the length of each leg must be less than 39. This means that $a$ and $b$ must both be less than 39.
We can use this fact to quickly eliminate many of the possibilities. For example, if $a=1$, we know that $b^2 = 1520$, which means that $b$ must be greater than 39 (since $6^2 = 36$ and $7^2 = 49$). This tells us that $a$ must be at least 7 in order for there to be any hope of finding a value of $b$ that works.
Using this approach, we can quickly narrow down the possibilities and find that the only value of $a$ that works is 15. If we plug in $a=15$, we get:
$b^2 = 1521 - 15^2 = 216$
$b = \sqrt{216} = 6\sqrt{6}$
So the length of the shorter leg is $\boxed{15}$ units.
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Written as the product of its prime factors, 2250=2x3²x5³. Two integers, A and B, can be written as products of prime factors. A=2xpxq¹ B=2xp² xq² The lowest common multiple (LCM) of A and B is 2250. Write down the values of p, q and r.
The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.
Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.
From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:
The prime factor 2 appears in both A and B.
The prime factor 3 appears in A.
The prime factor 5 appears in A.
Comparing this with the prime factorizations of A and B, we can deduce the following:
The prime factor p appears in both A and B, as it is present in the common factors 2 × p.
The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.
From the above analysis, we can conclude:
p = 2
q = 5
r = 3.
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Please help me thank you
Answer:
For every one pound there are 16 ounces.
Step-by-step explanation:
We can simply see that by dividing the ounces by pounds, 32/2 = 16, and 48/3 = 16.
Number of ounces: 16, 32, 48, 64, 80, 96
Number of pounds: 1, 2, 3, 4, 5, 6
ok i post questions asking for help but no one helps me. can someone at least help with this? please
Answer:
yes yu are tight yu rock
the probability of winning a certain lotter is 1/51,949. for people who play 560 times, find the standard deviation for the random variable x, the number of wins
The standard deviation for the random variable X, the number of wins, is approximately 0.10341.
Probability of winning a certain lottery \(= 1/51,949\)
560 times were played overall.
Let X represent the random variable that represents the number of victories out of 560 plays.
The probability of winning in one play is \(p = 1/51,949\). The probability of not winning in one play is \(q = 1 - p\)
\(q = (51,949 - 1) / 51,949\)
\(q = 51,948 / 51,949.\)
What X should actually be is:
\(E(X) = np\)
\(E(X) = 560 * (1/51,949)\)
\(E(X) = 0.010793\)
The variance of X is:
\(Var(X) = npq\)
\(Var(X) = 560 * (1/51,949) * (51,948/51,949)\)
\(Var(X) = 0.010699\)
The value of X's standard deviation is
\(SD(X) = \sqrt{Var(X)}\)
\(SD(X) = \sqrt{0.010699}\)
\(SD(X) = 0.10341\)(approx)
Therefore, the standard deviation for the random variable X, the number of wins, is approximately 0.10341.
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I need help with this please
Recall that the interior angles of a triangle add up to 180 degrees, then:
\(m\angle A+m\angle B+m\angle C=180^{\circ}\text{.}\)Now, recall that a right angle measures 90 degrees.
Then we can set the following equation:
\(m\angle A+15^{\circ}+90^{\circ}=180^{\circ}.\)Adding like terms we get:
\(m\angle A+105^{\circ}=180^{\circ}.\)Subtracting 105 degrees from the above equation we get:
\(\begin{gathered} m\angle A+105^{\circ}-105^{\circ}=180^{\circ}-105^{\circ}, \\ m\angle A=75^{\circ}. \end{gathered}\)Answer:
\(75.0.\)Subtract 3x + 5 from 7- 2x
the living standard in country x doubles in 12 years. what is its average annual growth rate roughly?
A country will roughly double its gdp in twelve years if its annual growth rate is 5.8 using the rule of 70.
The rule of 70 is used to determine the time it takes a country to double it growth rate.
To double in 12 years =70/12 = 5.8
Therefore, A country will roughly double its gdp in twenty years if its annual growth rate is 5.8 using the rule of 70.
A measure of the rise in the value of an investment or revenue stream over the course of a year is the annual growth rate, often known as the "simple growth rate" or "average annual growth rate (AAGR)".
The formula for calculating annual growth rate divides the total value of annual growth at the beginning of the year by the total value of that growth at the end of the year.
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Name the polynomial based on its degree and number of terms x4+2
Based on its degree, and the number of terms, the polynomial is named as: bi-quadratic binomial.
What is a Binomial?A binomial is a type of polynomial that has two unrelated terms or unlike terms, having subtraction or addition sign separating the two terms. For example, the polynomial, ax² - b, has two unlike terms, ax² and b, and is therefore called a polynomial.
What is a Bi-quadratic Polynomial?A bi-quadratic polynomial can be defined as a type of polynomial that has the term with the highest degree as 4. For example, the polynomial, ax^4 - b, is a bi-quadratic polynomial because the term that has the highest degree as 4 is ax^4.
Given the polynomial, x^4 + 2:
There are two terms, x^4 and 2
The highest degree is 4.
Therefore, based on its degree, the polynomial is named as: a bi-quadratic polynomial.
Based on the number of terms, the polynomial is named as: a binomial polynomial.
It can be named as: bi-quadratic binomial.
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please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
given the following details: function: x3 - x2 4 initial approximation: 1 tolerance: .001 how many iterations before we find the approximate root below the error threshold?
The process takes approximately 14 iterations to reach the desired accuracy.
The Bisection Method will take approximately 14 iterations to find the approximate root of the equation within an error tolerance of 0.001. The mathematics calculations involve finding the midpoint of a given interval [a, b] and then determining whether the midpoint is a root of the equation. If it is not a root, then the interval is divided into two halves, and the process is repeated on the subinterval where the sign of the function changes. This process is repeated until the midpoint is within the desired error tolerance.
To calculate the number of iterations required, we begin by noting that the initial interval used is [1, 0]. The midpoint of this interval is 0.5. This value is then plugged into the function to determine if it is a root. Since it is not, the interval is then divided into two halves and the process is repeated. This process is repeated until the midpoint is within the desired error tolerance of 0.001. In this case, it takes approximately 14 iterations to reach the desired accuracy.
The complete question is:
Given the function f(x) = x^3 - x^2 - 4 and an initial approximation of x = 1, how many iterations of the Bisection Method are required to find the approximate root of the equation within an error tolerance of 0.001?
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