Answer:
x² + x - 12 = 0
Step-by-step explanation:
Given the solutions are x = - 4 and x = 3, then the factors are
(x + 4) and (x - 3) and the equation is the product of the factors, that is
(x + 4)(x - 3) = 0 ← expand factors using FOIL
x² + x - 12 = 0 ← in standard form
A number cube is tossed 60 times. outcome frequency 1 12 2 13 3 11 4 6 5 10 6 8 determine the experimental probability of landing on a number greater than 4.
The experimental probability of landing on a number greater than 4 is 0.25 or 25%.
To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).
The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.
So, the experimental probability is 18/60 = 0.3 or 25%.
It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.
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the answer in fraction form is 18/60
if thats what you are looking for.
Help Please Thank you very much :)
Answer:
For n = 1, 2, 3,.....,
\( a(n) = \frac{10n(n + 1)}{2} + 1 = 5n(n + 1) + 1 \)
\( = 5 {n}^{2} + 5n + 1\)
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
This question is incomplete
Complete Question
A baker uses 5.5 Ibs of flour daily
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answer:
51.3 loaves of bread
Step-by-step explanation:
Converting 5.5 Ibs to oz (ounces)
1 Ibs =>12 oz
5.5 Ibs => x
Cross Multiply
12 × 5.5 => 88 oz
1 loaf of bread =>12 oz
Hence, in 1 day
12 oz =>1 loaf of bread
88 oz => x
x =>88 oz/ 12 oz
x => 7.3333333333 loaves of bread
Hence, he can make 7.3333333333 loaves of bread in 1 day
Hence, in 7 days
1 day => 7.3333333333 loaves
7 days => x
x => 7 × 7.3333333333 loaves
x => 51.333333333 loaves of bread
Approximately => 51.3 loaves of bread
21 radical sign p^-4/p^3
Answer: \(p^-^\frac{1}{3}\)
\(\sqrt[21]{\frac{p^-^4}{p^3} }\)
\(\sqrt[21]{p^-^4^-^3}\)
\(\sqrt[21]{p^-^7}\)
\(\sqrt[21]{\frac{1}{p^7}}\)
\(\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }\)
\(\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}\)
Ramesh had 20 pencils, sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?
Answer:
The fraction of each used up is 1/2. All fractions of her/his pencils are equal.
Step-by-step explanation:
Ramesh had 20 pencils. After 4 months he used 10 pencils.
Therefore, Ramesh's used-up fraction is 10/20 =1/2.
Sheelu had 50 pencils. After 4 months she used 25 pencils.
Therefore, Sheelu's used-up fraction is 25/50 =1/2.
Jamaal had 80 pencils. After 4 months he used 40 pencils.
Therefore, Jamaal's used-up fraction is 40/80 =1/2.
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i need help w 22 -25
Answer:
-3
Step-by-step explanation:
22-25=-3 because if the first number is smaller than the second number, then the answer is a negative number
2z-1/3- 3z+1/5=1
z=?
Have a good Earth day!
Answer:
Z=23
Step-by-step explanation:
Multiply both sides of the equation by 15, the least common multiple of 3,5.
Use the distributive property to multiply 5 by 2z−1.
Use the distributive property to multiply −3 by 3z+1.
Combine 10z and −9z to get z.
Subtract 3 from −5 to get −8.
Add 8 to both sides.
Add 15 and 8 to get 23.
Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side of b lies in quadrant 2
Answer:
cos(a + b) = \(\frac{1}{12}(1-2\sqrt{30})\)
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = \(-\frac{1}{3}\)
cos(b) = \(-\frac{1}{4}\)
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = \(-\sqrt{1-(-\frac{1}{3})^2}\) [Since, sin(a) = \(\sqrt{(1-\text{cos}^2a)}\)]
= \(-\sqrt{\frac{8}{9}}\)
= \(-\frac{2\sqrt{2}}{3}\)
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) = \(-\sqrt{1-(-\frac{1}{4})^2}\)
= \(-\sqrt{\frac{15}{16}}\)
= \(-\frac{\sqrt{15}}{4}\)
By substituting these values in the identity,
cos(a + b) = \((-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})\)
= \(\frac{1}{12}-\frac{\sqrt{120}}{12}\)
= \(\frac{1}{12}(1-\sqrt{120})\)
= \(\frac{1}{12}(1-2\sqrt{30})\)
Therefore, cos(a + b) = \(\frac{1}{12}(1-2\sqrt{30})\)
Ethan claims that StartAbsoluteValue 7 minus 3 EndAbsoluteValue = 4. Which statement about Ethan’s claim is true?
Answer:
Ethan is correct because the absolute value bars are grouping symbols so first you must subtract. 7 minus 3 = 4, and StartAbsoluteValue 4 EndAbsoluteValue = 4.
Step-by-step explanation:
I know this is correct because I took the test and got it right, but tell me if I'm wrong.
Answer:
D
Step-by-step explanation:
Trust me on this.
pleasee help! Percents!!!
Answer:
Step-by-step explanation:
55%
A recipe calls for 0.8 oz of cheese. If I make 35 batches of this recipe, how many ounces of cheese do I need?
Answer:
28
Step-by-step explanation:
mm ya
A box of crackers has a volume of 5000 cm³ of the box with a length of 25 cm and a width of 8 cm what is the height
What is the intersection of line CA a and line XA?
Answer:
point A is the intersection point between XA and AC
Of the $175 that Sheila has, she gives $7 to charity. What percent does she give to charity?
Answer:
Your answer is 4%
Step-by-step explanation:
7÷175×100 = 4
A large concrete block is used for the cornerstone of a building. The block is 13 yd deep, 13 yd wide, and 16 yd long. What volume of concrete is needed to make this block?
MARK ME AS BRAINLIST PLEASE
2288ft^3
Step-by-step explanation:
Given data
Dimension of the block
Length= 13ft
Width= 11ft
Height= 16ft
Volume = L*W*H
substitute
V= 13*11*16
V= 2288 ft^3
Hence the volume of the concrete is 2288ft^3
a chef uses 800g from a 5kg bag of flour.What percentage of the flour is left?
Answer:
80% of the flour is left.
Answer:
I hope may answer is correct! I am sorry if it is not!
The chef used 800g out of a 5kg bag of flour, so the amount of flour left is 5,000g - 800g = 4,200g. To find the percentage of flour left, divide the amount of flour left by the total amount of flour and multiply by 100: (4,200g / 5,000g) * 100 = 84%. So 84% of the flour is left.
Solve these Exponents
How do I solve and what is the answer
Answer:
Step-by-step explanation:
the 2nd and 4th answers look good. the 1st answer is correct as well.
To solve this look at the x axis and y axis, the x axis is in inches, the y axis is in pounds. So you know that as the distance increase per inch, the force in pounds is increasing too.
so the force applied is going up, 0.73 pounds , for each inch of travel ( or stretch) of the spring.
the stopping distance s of a car varies directly as the square of its speed v. if a car traveling at 30 mph requires 45 ft to stop, find the stopping
The stopping distance for a car traveling at 55 mph is 60,500 feet.
The equation to solve this problem would look like the following
s = v²/k
The stopping distance s will increase (varies directly) as the velocity increases.
Putting in the values we know
45 = 30²/k
⇒ k = 45/900
⇒ k = 0.05
Now,
at 55 mph we would have
s = 55²/0.05
⇒ s = 3025/0.05
⇒ s = 60,500
s = 60,500 feet to stop
Complete Question:
The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at 30 mph requires 45ft to stop, find the stopping distance for a car traveling at 55 mph.
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80
Select the correct answer.
4
What is the solution to the equation?
5√x + 7 = -2
OA -39
OB. -17
OC 25
OD. no solution
Answer:
38 is the correct solution
If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. In general, the naturally occurring difference between a sample statistic and the corresponding population parameter is called ____.
Answer:
Sampling Error
Step-by-step explanation:
We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.
Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.
This is also similar to the definition given in the question.
Thus, it's sampling error!
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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I need serious help please
I need help
y+3x=1
i need to know what m and c is
Step-by-step explanation:
y+3x=1
y= -3x +1
y= MX+c
m= -3 and c=1
The water capacity of a tank is 1500 liters. In three hours, half of it is being discharged. Find the volume left after 4 hours of discharging. a. 1,000 liters b. 800 liters c. 500 liters
After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.
Initially, the tank has a water capacity of 1500 liters.
After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.
To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.
Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.
Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.
Therefore, the correct answer is c. 500 liters.
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Which rule maps figure 1 onto figure 2
Answer:
Step-by-step explanation:
I am trying to solve the equation; 2(x-2/3)=0. I need to show my work.
Answer:
x=−1
x=
2
3
=1
2
1
=1.5
Step-by-step explanation:
Answer:
x = 1/3
Step-by-step explanation:
The equation is : \(2(x-\frac{2}{3})\) = 0
Open parenthesis
\(2x - \frac{4}{6} = 0\)
Add 4/6 on both sides
2x = 4/6
Divide by 2 on both sides to isolate x
x = 1/3
Hope this helps :)
Have an awesome day!
The series ∑ n=0
[infinity]
( 3
x
) n
has radius of convergence R= 1 Q and its interval of convergence has the form (b) The series ∑ n=0
[infinity]
n( 5
x
) n
has radius of convergence R= and its interval of convergence has the form (c) The series ∑ n=1
[infinity]
n 2
(x−1) n
has radius of convergence R= and its interval of convergence has the form (d) The series ∑ n=0
[infinity]
n n
(x+2) n
has radius of convergence (e) The series ∑ n=0
[infinity]
(n!) 2
(x−4) n
has radius of convergence R= 그 0 and its interval of convergence has the form
The interval of convergence is (-9/2, -3/2) and the radius of convergence is 3.
To determine the radius and interval of convergence for the series, we can use the ratio test.
The ratio test states that if we have a series ∑(aₙ), and if the limit as n approaches infinity of |aₙ₊₁ / aₙ| is L, then the series converges if L < 1 and diverges if L > 1.
Let's apply the ratio test to the given series:
aₙ = (2/3)ⁿ * (x + 3)ⁿ
To apply the ratio test, we calculate the ratio of successive terms:
|aₙ₊₁ / aₙ| = |[(2/3)ⁿ⁺¹ * (x + 3)ⁿ⁺¹] / [(2/3)ⁿ * (x + 3)ⁿ]|
= |(2/3) * (x + 3)|
Now, let's determine the limit as n approaches infinity of the ratio:
lim(n→∞) |(2/3) * (x + 3)| = |2/3| * |x + 3|
For the series to converge, this limit should be less than 1:
|2/3| * |x + 3| < 1
Simplifying the inequality:
2/3 * |x + 3| < 1
|2x + 6| < 3
-3 < 2x + 6 < 3
-9 < 2x < -3
-9/2 < x < -3/2
Therefore, the interval of convergence is (-9/2, -3/2).
To determine the radius of convergence, we take half the length of the interval:
radius of convergence = (|-9/2| + |-3/2|) / 2
= (9/2 + 3/2) / 2
= 12/4
= 3
Hence, the radius of convergence is 3.
Correct Question :
What is the radius of convergence and interval of convergence of the series sum from 1 to infinity of (2/3)ⁿ(x + 3)ⁿ?
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Please I need help: Find a number greater than 1 and less than 1000 that is both a perfect square and a perfect cube.
Answer:
64
Step-by-step explanation:
Han has 410000 in a retirement account that earns 15785 each year. Find the simplest interest
Han's retirement account earns $247,163.25 in simple interest.
To find the simplest interest, we need to use the formula:
Simple Interest = Principal × Rate × Time
In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:
Time = Simple Interest ÷ (Principal × Rate)
Plugging in the values, we get:
Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years
Therefore, the simplest interest is:
Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25
So Han's retirement account earns $247,163.25 in simple interest.
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