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[tex]y=\frac{7}{8}\left(x+4\right)\left(x+2\right)[/tex]
Related Questions
find the number of gallons in 6 liters of solution(1gal=3.79l)
Answers
To convert 6 liters of solution into gallons, given that 1 gallon is equivalent to 3.79 liters, you divide 6 by 3.79 which gives you 1.58 gallons of solution.
Explanation:The question is asking to find the number of gallons in 6 liters of a solution, given that 1 gallon is equivalent to 3.79 liters. The conversion from liters to gallons is a basic concept in measurement conversion. Here is a step-by-step explanation to help you understand the process:
You have 6 liters of solution which you want to convert to gallons. We know that 1 gallon is equivalent to 3.79 liters. So, to convert liters to gallons, we divide the number of liters by 3.79. Therefore, you have 6 / 3.79 = 1.58 gallons (rounded to two decimal places) of solution. Learn more about Unit Conversion here:
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Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 666 classical songs, 777 rock songs, and 999 rap songs on it. What is \text{P(not a rap song})P(not a rap song)P, left parenthesis, n, o, t, space, a, space, r, a, p, space, s, o, n, g, right parenthesis?
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We have been given that Greg's Jumble has 666 classical songs, 777 rock songs, and 999 rap songs.
Therefore, total number of songs are
[tex]666+777+999\\ =2442[/tex]
The formula for probability is given by
[tex]P(E)=\frac{n(E)}{n(s)}[/tex]
Let us first find the probability for rap song
[tex]P(\text{rap song})= \frac{999}{2442} \\ P(\text{rap song})= \frac{9}{22}[/tex]\\
Therefore, we have
[tex]P(\text{ not rap song})=1- P(\text{rap song})\\ \\ P(\text{ not rap song})=1-\frac{9}{22} \\ \\ P(\text{ not rap song})=\frac{13}{22} =0.59[/tex]
Hence, we have
P(not rap song)=0.59
Which point best approximates the root of 45
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We rewrite 45 as 3²×5
thus
√45=√(3²×5)
pulling terms out from under the radical we obtain
3√5
thus the exact answer form is:
3√5
or the decimal form is:
6.70820393
PLZ HURRRY!!
Of the 12,000 votes cast in an election, 42% of the votes were for Mr.Jones. How many votes were cast for all the other candidates?
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= 5040
Therefore, Number of Voters left = 12000-5040
= 6960
In the number 7,777.777, how does the 7 in the hundreds place compare to the 7 in the place to its left?
A.
The 7 in the hundreds place represents of what the 7 to its left represents.
B.
The 7 in the hundreds place represents 10 times what the 7 to its left represents.
C.
The 7 in the hundreds place represents of what the 7 to its left represents.
D.
The 7 in the hundreds place represents 100 times what the 7 to its left represents.
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hgfgjdhsghdfg
After a comparison of the number 7 which is at hundreds of places to the number 7 left off it, it is 10 times of what the 7 to its left represents. Hence, option B is correct
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data provided in the question,
The given number is 7,777.777
Now, we have to compare the number 7 which is at the hundreds place with the 7 in the place left to it.
So, the 7 which is left to the 7 at the hundredth place will be 10 times it. Also, the 7 which is the second left to the 7 at the hundredth place is 100 times and so on it will increase like this.
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Polygon ABCDEF is the result of a translation of polygon GHIJKL . GL¯¯¯¯¯ is parallel to HI¯¯¯¯¯ in the pre-image. please help
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GL parallel to HI in the pre-image ensures AB remains parallel to FE in the translation.
Given that GL and HI are parallel, we can infer that AB and FE will also remain parallel in the translation. The parallelism of lines GL and HI suggests that their corresponding sides, AB and FE, will exhibit the same parallel relationship during the translation process. This is a consequence of the consistent geometric transformation applied to all points on lines GL and HI. As each point on GL undergoes translation, its corresponding point on HI experiences the same displacement, preserving the parallelism.
Therefore, we can confidently state that AB and FE maintain their parallel orientation, aligning with the geometric properties of the translation that preserves parallel lines. The parallelism observed in the original configuration persists throughout the translation, ensuring that AB and FE remain parallel to each other.
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Adams sister want to watch her intake of fat per day.he estimate that the dinner will have 48grams of fat.what percentage of her total daily allowance of fat will the dinner be round your answer to a whole number.the recommended daily allowance of fat is70g
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Use the formula percent/of = x/100.
So, 48/70 and x/100 you cross multiply the numbers; 48*100 and 70*x and end up with 70x=4800.
Divide both sides by 70, which gives you 68.57.
Round the number up to 69 percent.
A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 32t + 6. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height? 1 s; 54 ft 2 s; 6 ft 2 s; 22 ft 1 s; 22 ft
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h = -16t2 + 32t + 6
Deriving we have:
h '= -32t + 32
Equaling to zero:
-32t + 32 = 0
We clear the time:
t = 32/32
t = 1 s
We are now looking for the maximum height:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
The ball reaches its maximum height in:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet
option: 22 ft, 1 s
Answer: 22 ft, 1 s
Step-by-step explanation:
What is the equation of the circle shown in the graph ? (Blank)^2 + (Blank)^2 = blank
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[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-6}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{6}{ r} \\\\\\\ [x-(-6)]^2+[y-4]^2=6^2\implies (x+6)^2+(y-4)^2=36[/tex]
The equation of the circle shown in the graph is equal to [tex](x + 6)^2 + (y - 4)^2 = 36[/tex]
Form the graph, we can deduce the following points:
The center of the circle is denoted by the black dot and we can see that the values are -6 and 4 respectively.
Center (h, k) = (-6, 4)Also, the diameter of the circle is:
Diameter = 12 units
Radius = [tex]\frac{Diameter}{2} = \frac{12}{2} = 6 \;units[/tex]
Mathematically, the standard form of the equation of a circle is given by;
.....equation 1
Where;
h and k represents the coordinates at the center.r represents the radius of the circle.Substituting the values into eqn 1, we have:
[tex](x - [-6])^2 + (y - 4)^2 = 6^2\\\\(x + 6)^2 + (y - 4)^2 = 36[/tex]
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Instructions:Select the correct answer from each drop-down menu. The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is . The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is
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2x - 5< 7
2x <12
x < 6
Solve for the second inequality:
4x +10 > 6
4x > -4
x > -1
Graph these two inequalities on a number line to see that their union is the complete number line. Note that for any number of x can either be greater than negative 1 or less than 6 and can be both.
so the answer is:
range of negative infinity to infinity. required to use parenthesis
(-∞, ∞)
how many times does 15 go into 46
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hey can you please help me posted picture of question
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It has its vertex at origin and opens upwards.
The given graph is obtained by shifting the graph of x² 2 units vertically down. This vertically translation can be expressed by subtracting 2 from the parent function.
So,
F(x) = G(x) - 2
F(x) = x² - 2
Thus the correct option is A
please help! i dont understand this.
a 25 gram sample substance that's used for drug research has a k-value of 0.1229. find the substances half-life, in days using the exponential decay formula. round your answer to the nearest tenth
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With a k-value of 0.1229, the half-life is approximately 5.6 days.
The exponential decay formula is given by:
amount remaining = initial amount × e^-(k × t)
For a substance's half-life, the amount remaining is half of the initial amount. The formula to find the half-life (t1/2) is:
t1/2 = ln(2) / k
Here, ln(2) is approximately 0.693 and k is given as 0.1229. Substituting these values in:
t1/2 = 0.693 / 0.1229 ≈ 5.64 days
Rounding to the nearest tenth, the half-life of the substance is 5.6 days.
y = |x| translated two units to the right.
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So we go from y = |x| to y = |x-2|
fully expand the logarithm: log(x^3/z^5)
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Log(A/B) = logA - LogB and Alogx=log(x∧A)
Log (x³/z∧5) = log (x³) - log z∧5
=3log x - 5log z
1) Quotient Rule of Logs:
Log(A/B) = Log A - Log B
2) Power Rule of Logs:
[tex]Log(a)^{b}=b*Log(a) [/tex]
[tex]log( \frac{ x^{3} }{ z^{5} } ) \\ \\ =log( x^{3})-log( z^{5}) \\ \\ =3logx-5logz[/tex]
y = x3 - 3x On which intervals is this function increasing?
Answers
x ∈ (-∞, -1) ∪ (1, ∞)
Can a chord also be classified as a radius? Explain your answer.
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A chord is a straight sediment that joins two points of the circumference. The radius goes from the center of the circle, which is not on the radius.
Al and Bill each have two bullets. They fire alternately at a glass bottle. Al has hitting probability 1/3 and Bill 1/4. What is the probability that Al smashes the bottle if he is the one who fires the first shot? (Note: Al can smash the bottle even if he misses with his first shot.)
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P(Al misses the first shot but hits on his second shot) =
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6
So required probability = 1/3 + 1/6 = 1/2
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week that Jackson goes to the gym is 2.05. The probability that he goes 0 days is 0.1, the probability that he goes 2 days is , and the probability that he goes 3 days is .
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1-.1=.9
He needs more time at 3 days so:
3 days > 2 days
The equality has to be bigger on three so It can be .46 or bigger. Yet we want concise, clear answers:
.1 (zero), .23 (two) .67 ( three)
What is the similarity ratio of the smaller to the larger similar pyramids? Enter your answer as a:b
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Terry uses 3 cups of pumpkin seeds to decorate the tops of 12 loaves if bread. She puts an equal amount of seeds on each loaf. How many cups of pumpkin seeds does she put on each loaf of bread?
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fresh raspberry contain 80% water.Dried raspberry contain only 20%.how many pounds do you get from 36lb fresh berries
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1 % water = 36 ÷ 80 = 0.45 lb
20% water = 0.45 x 20 = 9 lbs
Answer: You will get 9 lbs of raspberry.
The amount of fresh berries that contain 80% water is 7.2 pounds.
Amount of water in fresh raspberry = 80%
It means the amount of raspberry only in a fresh raspberry =20%
Amount of water in dry raspberry =20%
What is a percentage?A percentage is a value per hundred.
So, the amount of raspberry only in 36 lbs fresh berries = 20% of 36
20% of 36 = (20/100)*36 = 7.2 lbs
So, the amount of raspberry only in 36 lbs of fresh berries = 7.2 lbs
Therefore, we get 7.2 lbs from 36lb fresh berries.
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A line has a slope of 2 and a y intercept of (0,-4) what is the value of y when x=6
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y = 2x -4
next plug in 6 for x.
y = (2x6) - 4
y = 12 - 4
And this will give us the value of y: 8.
The question is about finding the y-value of a line when the x-value is given, knowing the slope and the y-intercept. By plugging the given slope, y-intercept and the provided x-value into the formula y = mx + b, we find that y equals 8 when x equals 6.
Explanation:If we know the slope (m) of a line and the y-intercept (b), we can use the formula y = mx + b to calculate the y-value for any x-value. In the given question, the slope (m) is 2 and the y-intercept (b) is -4. If we want to find the y-value when x = 6, we can substitute these values into the formula:
y = 2*6 - 4
So, y = 12 - 4 = 8. Therefore, when x = 6, the value of y is 8.
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2. An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area?
A. 24 miles B. 12 miles C. 576 miles D. 20 miles
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Answer:
A. 24 miles
Step-by-step explanation:
Using 3.14 for π, we have ...
... Area = πr^2
... √(Area/π) = r = √(1808.64/3.14) = √576 = 24 . . . . miles
Answer:
its 24 miles so the correct answer would be A
Step-by-step explanation:
Given the least squares regression equation, = 1202 + 1,133x, when x = 4, what does equal?
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This can be done by substituting the value of x for 4 and multiplying it by 1,133 which will eventually give you the answer of 4532.
After this step, all you have to do it add 1202 to 4532, resulting in an answer of 5734.
The net asset value of stock in a mutual fund had increased by $20 per share when an investor decided to redeem them. The investor had purchased 100 shares of the stock for $2,316 and redeemed them for $4,301. What can you conclude about the fund? a. The fund is a no-load fund. b. The offer price of the fund was $0.15 less than the net asset value when purchased. c. The offer price of the fund was $0.15 more than the net asset value when purchased. d. The offer price of the fund was $0.15 more than the net asset value when sold.
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Formula for calculating NAV:
Net Asset Value (NAV) = (Assets - Debts) / (Number of Outstanding Units)
The Net Asset Value (NAV) is the price in which you pay to buy a unit of mutual fund scheme when you invest.
Part A: Factor 2x2b2 + 5xb2 + 2b2. Show your work. (4 points) Part B: Factor x2 − 8x + 16. Show your work. (3 points) Part C: Factor x2 − 49. Show your work. (3 points)
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[tex]x^2 - 8x + 16 = (x - 4) (x - 4) = (x-4)^2[/tex]
[tex]x^2 - 49 = x^2- 7^2 = (x - 7)(x + 7)[/tex]
Question 19 find the solution
Answers
x= 5
Using the value of x in first equation we can write:
y = 6(5) + 1
y = 30 + 1
y = 31
So, the solution is (5, 31)
Thus, option 2nd is the correct answer
coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?
2x + y ≤ 10
2x − 4y < 8
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_____
Doing all the calculations is fairly tedious, but can be done manually. (It works better, perhaps, to do it on a spreadsheet.) It is convenient to reduce the second equation by a factor of 2 to
x -2y < 4
point A(-5, 4) in the first equation: 2(-5)+(4) = -2 ≤ 10
point A(-5, 4) in the second (reduced) equation: (-5)-2(4) = -13 < 4
point H(-4, -4) in the first equation: 2(-4) +(-4) = -12 ≤ 10
point H(-4, -4) in the second equation: (-4) -2(-4) = 4 < 4 . . . FALSE
graph of this ellipse
x^2 + y^2 =1
_ _
4 16