Answer:
Area of the hurricane = 7853 or 3.14 x 50 squared
Does anyone know how to solve this?
9514 1404 393
Answer:
zeros: {-2, -1, 7}P(x) = (x +2)(x +1)(x -7)Step-by-step explanation:
Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.
We note that the sum of all coefficients is negative, so +1 is not a root.
We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).
The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...
Q(x) = x^2 -5x -14
Factoring this using any method you like gives ...
Q(x) = (x +2)(x -7)
This means the full set of zeros is {-2, -1, +7} and the factorization is ...
P(x) = (x +2)(x +1)(x -7)
_____
Additional comment
My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = 3 x squared + 2 x minus 8
Answer:
Table A
Step-by-step explanation:
y = 3x^2 +2x -8
The quadratic is in the form
y = a x^2 +bx+c
a = 3 b = 2 c = -8
Since a > 0 it opens up
The y intercept is c so the y intercept is -8
Find the exact value of sec A in simplest radical form
Answer:
sec A = sqrt(61) / 6
Step-by-step explanation:
sec theta = hypotenuse / adjacent side
sec A = sqrt(61) / 6
according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used
Answer:
42 teaspoons of vinegar
Step-by-step explanation:
Given
[tex]x \to vegertable[/tex]
[tex]y \to vinegar[/tex]
[tex]x : y = 4 :12[/tex]
Required
Find y when [tex]x = 14[/tex]
[tex]x : y = 4 :12[/tex] implies that:
[tex]14 : y = 4 : 12[/tex]
Express as fraction
[tex]\frac{y}{14} = \frac{12}{4}[/tex]
[tex]\frac{y}{14} = 3[/tex]
Multiply by 3
[tex]y = 14* 3[/tex]
[tex]y = 42[/tex]
A positive real number is 4 less than another. if the sum of the squares of the two numbers is 72, then find the numbers
Answer:
x+4=72
x=72-4
x=68
Step-by-step explanation:
let x be one number and 4 be anothe number then sum of the two number be x and 4
Find the value for the side marked below.
Round your answer to the nearest tenth.
47
у
74°
y = [?]
Answer:
y ≈ 13.5
Step-by-step explanation:
In the given right triangle we have to find the measure of unknown side 'y'.
Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,
We will use tangent ratio for the given angle.
tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]
tan(74°) = [tex]\frac{47}{y}[/tex]
y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]
y = 13.48
y ≈ 13.5 units
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Calculate the cyclist's average speed in mph.
Answer:
v = 15 mph
Step-by-step explanation:
Given that,
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Total distance, d = 3 + 7 = 10 miles
Total time, t = 15 + 25 = 40 minutes = 0.6667 hours
Average speed,
[tex]v=\dfrac{d}{t}[/tex]
Put all the value,
[tex]v=\dfrac{10}{0.6667}\\\\= $$14.99\ mph[/tex]
or
v = 15 mph
So, the required average speed is equal to 15 mph.
You invest $24,000 at a simple interest rate of 12% for 9 years, and your
investment grows by $25,920. What is the principal?
Answer:
The principal is $2400
Step-by-step explanation:
Given
[tex]P = \$24000[/tex]
[tex]t = 9[/tex]
[tex]r =12\%[/tex]
[tex]I = \$25920[/tex]
Required
The principal amount
The principal amount is the amount invested.
From the question, we understand that $24000 was invested.
Hence, the principal is $24000
Need help please with end behavior!
I'll focus on problem 2.
For these types of problems, I recommend graphing the functions to see how the end behavior looks.
The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).
In short, the graph rises to the left and it rises to the right.
Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.
If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.
The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.
if y equal to-1 calculate the value of the expression
Answer:
thiếu giữ liệu không thể trả lời được
Step-by-step explanation:
Here are the first three terms of a different sequence.
1
3
9
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.
please helpp
Step-by-step explanation:
everything can be found in the picture
Distribution of Sample Proportions
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a) The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b) The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c) The sample proportion of drawing an orange candy is not a binomial distribution.
d) The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Answer:
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
Tiffany is borrowing 1,200 from her parents to buy a new laptop computer. She plans to pay them back at the rate of $70 a month. Rosie is borrowing $900 from her parents to buy a violin. She plans to pay her parents back at the rate of $40 per month
This isn't really a question so I'll just go through all of it.
1200 dollars will take about 17 months to pay off with installments of 70 dollars.
900 dollars will take 22.5 months to pay off with 40 dollar installments.
Tiffany will pay off her debt first.
Doris has a fish pond 15 by 18 ft. She wants to put grass in a strip of uniform with around the pond. She has enough grass seed for 234 ft squared. How wide will the strip be? Round your answer to the nearest tenth, when appropriate
Check the picture below.
so if we simply subtract the strip area with the pond and the area of the pond only, what's leftover is the area of the strip alone, so
[tex]\stackrel{\textit{area of the grass \underline{with} pond}}{(15+2x)(18+2x)}-\stackrel{\textit{area of the pond}}{(15)(18)}=\stackrel{\textit{their difference}}{232} \\\\\\ 270+30x+16x+4x^2-270=232\implies 46x+4x^2=232 \\\\\\ 23x+2x^2=116\implies 2x^2+23x-116=0[/tex]
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+23}x\stackrel{\stackrel{c}{\downarrow }}{-116}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x = \cfrac{-23\pm \sqrt{23^2-4(2)(-116)}}{2(2)}\implies x = \cfrac{-23\pm \sqrt{1457}}{4}[/tex]
now, the negative root will simply yield a negative value, which is not applicable here, so we'll only use the positive root, since it's the only feasible one for the phenomena
[tex]x = \cfrac{-23+ \sqrt{1457}}{4}\implies x \approx 3.792667341996157\implies \stackrel{\textit{rounded up}}{x = 3.8}[/tex]
Answer:
3 feet
Step-by-step explanation:
Let x be the width of the grass strip.
So the length of the grass strip=18+2x
Area of the grass strip =2(18+2x)(x)+2(15)(x)=2(18x+2x^2)+2(15x)=(36x+4x^2)+30x=4x^2+66x^2
But the available grass seed is enough for 234 ft squared
4x^2+66x=234
4x^2+66x-234=0
x={-66+-[(66)^2–4(4)(-234)]^1/2}/2(4)
x={-66+-[4356+3744]^1/2}/8={-66+-[8100]^1/2}/8
x={-66+-(90)}/8
Two values of x: x=(-66+90)/8=24/8=3 and the other value of x=(-66–90)/8=-19.5. Adopt the positive value of x=3 feet (answer)
So the width of the strip is 3 feet.
Check for the area of grass strip around the fish pond : Area=2(18+6)(3)+2(15)(3)=2(24)(3)+90=144+90=234 square feet
Other area check =4x^2+66x=4(3)^2+66(3)=36+198=234 square feet
Therefore the strip is 3 feet wide
Please help me steps please
A line passes through (1, - 1) and (3, 5). What is the equation of the line in slope-intercept form?
Answer: a+b+c=0 and 3a+5b+c=0
Step-by-step explanation:
If you find a solution to these equations, you will find an equation of your line. Please notice that (a,b,c) defines the same line as (ka,kb,kc) and for any non-zero k, and a=b=c=0 defines no line equation at all. Now you can take a=1 and solve for b and c, or take b=1 and solve for a and c, or take c=1 and solve for a and b, at least one of these will work.
(Y = 179x
(Y = 105x + 2046
Graph pls
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
HELP ASAP Which expression is equivalent to this polynomial expression?
(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)
choices in picture
Answer:
B, if you have any questions how I did anything, or questions in general, let me know.
Step-by-step explanation:
First you want to make sure you understand distributing. Just using variables I will show how to districute a similar expression.
(a - b)(c + d - e)
There are several ways to think of it. you could treat (a-b) as one term and distribute it into c + d - e like this. pretend (a- b) = x
x(c + d - e) = cx + dx - ex = c(a-b) + d(a-b) - e(a-b)
Then just do a bit more distributing, then combine like terms.
You could instead make (c + d - e) a single term and distribute that into (a-b)
I prefer doing it all in one step, similar to FOIL-ing. Take the first term of one of the expression in parenthesis and distribute it, then move on to the second and so on.
so with (a - b)(c + d - e) I would start with a and distribute that into (c + d - e) and get ac + ad - ae then do the same to -b and get -bc - bd + be then you add the two parts together. ac + ad - ae + -bc - bd + be = ac + ad - ae -bc - bd + be. Then you would combine like terms. Let me know if you need help with that.
Anyway, now for your problem. Keep in mind you can use any of the methods.
(2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4)
First distribute 2x^2 into (4x^4 + 6x^2y^2 + 9y^4)
8x^6 + 12x^4y^2 + 18x^2y^4
Next distribute -3y^2 into (4x^4 + 6x^2y^2 + 9y^4)
-12x^4y^2 - 18x^2y^4 - 27y^6
Now add the two together.
8x^6 + 12x^4y^2 + 18x^2y^4 + -12x^4y^2 - 18x^2y^4 - 27y^6 = 8x^6 + 12x^4y^2 + 18x^2y^4 - 12x^4y^2 - 18x^2y^4 - 27y^6
Finally combine like terms.
12x^4y^2 - 12x^4y^2 = 0
18x^2y^4 - 18x^2y^4 = 0
So that leaves us with 8x^6 - 27y^6
B is the only answer that works, none of the other 3 can be simplified or adjusted to make them equal what we need, so B is the only right answer.
If you have any questions though let me know.
What are the odds against choosing a red marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles?
Answer:
4/14
Step-by-step explanation:
2+1+7+4=14
red marbles are 4/14
Answer:
2/7
Step-by-step explanation:
Probability = Number of ways event can occur/ total number of possible outcomes.
Total number of possible outcomes = 2+1+7+4=14 = 4/14.
And if you break that down, 2 will go into four, twice and into fourteen, seven times = 2/7.
Brainliest?
What is it quadratic, radical, rational?
Answer:
quadratic formula is ur answer for letter B
Help me pleaseeeeeeeee
What is the scale factor of this dilation?
Answer:
1.333333333333
Step-by-step explanation:
1.) The grade 6 class harvested 3 44 kg of tomatoes, 53 kg of eggplants and 2 42 kg of green pepper from their "Gulayan sa Paaralan”. How many kilograms of vegetables did they harvest in all? a. What is asked in the problem? b. What are the given facts? c. What operation will be used? d. What is the number sentence? e. What is the answer?
Answer:
649 kg of vegetables
Step-by-step explanation:
What is asked?
The total number of vegetables planted
The given facts?
[tex]Tomatoes= 344kg[/tex]
[tex]Eggplants =53kg[/tex]
[tex]Green\ pepper =242kg[/tex]
The operation to be used?
The addition operation
The number sentence?
[tex]344 + 53 + 242[/tex]
The answer?
[tex]344 + 53 + 242 =639[/tex]
Phân biệt giá cấp 2 được áp dụng đối với
Second-degree price discrimination occurs when a company charges a different price for different quantities consumed, such as quantity discounts on bulk purchases.
mark me brainliestt :))
Suppose an test consisted of 10 multiple choice problems, each with five possible responses (A-E), only 1 of which is correct. If a student randomly guesses the answers to each question then what is the probability that a student guesses the correct answer to exactly 7 questions?
Answer:
Step-by-step explanation:
[tex]10C_{7}\times (0.2)^{7} \times (0.8)^{3}\\[/tex]
The probability that a student guesses the correct answer to exactly 7 questions is 0.004.
What is binomial probability?The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.
Binomial probability formula[tex]P_{x} =nC_{x} P^{x} q^{n-x}[/tex]
where,
P is binomial probability
x is number of times for a specific outcome within n trials
[tex]nC_{x}[/tex] number of combinations
p is probability of success on a single trial
q is probability of failure on a single trial
n is number of trials
According to the given question.
A test consisted of 10 multiple choices.
⇒ Number of trials, n = 10
The student have to give exactly 7 correct answers.
⇒ x = 7
The probability of being correct in one trial, p = [tex]\frac{1}{5}[/tex]
(only one option is correct among fives)
So, the probability of being incorrect/wrong in one trial, q = [tex]1-\frac{1}{5} =\frac{4}{5}[/tex]
Therefore, the probability that a student guesses the correct answer to exactly 7 questions is given by
[tex]P_{x} = 10C_{7} (\frac{1}{5}) ^{7} (\frac{4}{5} )^{3}[/tex]
⇒ [tex]P_{x} = \frac{10!}{7!3!} (0.2)^{7}( 0.8)^{3}[/tex]
⇒[tex]P_{x} = 120(0.0000128)(0.512)[/tex]
⇒ [tex]P_{x} =0.004[/tex]
Hence, the probability that a student guesses the correct answer to exactly 7 questions is 0.004.
Find out more information about binomial probability here:
https://brainly.com/question/12474772
#SPJ3
Question 1 of 25 f(x) = 2x2 + 6x - 4 g(x) = 5x3 - 6x? - 3 Find (f + g)(x).
Answer:
option B
Step-by-step explanation:
[tex]f(x) = 2x^2 + 6x -4\\\\g(x) = 5x^3 - 6x^2 - 3\\\\(f + g)(x) = f(x) + g(x) \\\\[/tex]
[tex]= (2x^2 + 6x - 4) + ( 5x^3 -6x^2 - 3) \\\\= 2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3\\\\= 5x^3 + 2x^2 - 6x^2 + 6x - 4 - 3 \\\\= 5x^3 - 4x^2 + 6x - 7[/tex]
Answer:
the answer is b
Step-by-step explanation:
hope this helps :)
Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?
Respuesta:
3215360 cm³
Explicación paso a paso:
Dado que :
Radio = 160/2 = 80 cm
Altura, h = 160 cm
Volumen de un cilindro = πr²h
Volumen del cilindro = π * 80² * 160
Volumen = 3215360 cm³
The square below represents one whole.
What percent is represented by the shaded area?
%
The anwser is 6%
Answer:
the answer is 6%
hdhxbxcbxbxszznzj
You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded quarterly.
Answer:
$3840.
Step-by-step explanation:
First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.
Can someone please help please.you will get 48 points
Answer:
x = 20
Step-by-step explanation:
We can use a ratio to solve
10 14
------ = ----------
x 28
Using cross products
10 * 28 = 14*x
280 = 14x
Divide by 14
280/14 = 14x/14
20 =x
Answer:
20 cm
Step-by-step explanation:
It says that both of these shapes are similar. If we divide 28/14=2.
Then we can also multiply 10 cm by 2 cm to get 20 cm .
x= 20 cm
Hope this helps!
