To estimate the sum of 503 and 69, one could round the numbers to the nearest tens or hundreds and then add the rounded numbers together. For example, rounding to the nearest tens would result in the equation 500 + 70 = 570.
Explanation:The question asks for a method to write an equation that would allow them to estimate the sum of 503 and 69. This is more related to the concept of rounding numbers. We can estimate this sum by rounding these numbers to the nearest tens or hundreds, and then adding those rounded numbers together.
For example, if you round to the nearest tens, 503 can be rounded down to 500 and 69 can be rounded up to 70. Adding these rounded numbers together gives 500 + 70 = 570. Therefore, one possible equation could be: 500 + 70 = 570, which is a fairly close estimate of the original sum, 503 + 69.
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Find the missing coordinate if the ordered pair is to be a solution to the equation 3x+y=9:(?,-9)
Stella is renting a car for a business trip. The agency charges a flat rate of $60 plus $0.50 per mile every mile she drives over 40 miles. Stella's company will pay up to $270, excluding the cost of gasoline , for the use of the rental car. What is the number of miles Stella can drive the rental car without spending more then$270
270 =60 + 0.50(x-40)
270 =60 + 0.50x -20
210 =0.50x -20
230=0.50x
x=230/0.50 = 460 miles
check:
460-40 = 420
420*0.50=210 +60=270
she can drive 460 miles total
What is an open map?
y varies inversely with x k = 1.4 What is the value of x when y is 5.6? A. x = 4 B. x = 1.4 C. x = 0.25 D. x = 7.84
Savings account A and savings account B both offer APRs of 7%, but savings account A compounds interest quarterly, while savings account B compounds interest semiannually. Which savings account offers the higher APY? A. Savings account A, because it has more compounding periods per year B. Savings account B, because it has fewer compounding periods per year C. Savings account A, because it has fewer compounding periods per year D. Savings account B, because it has more compounding periods per year @countonme123 @ganeshie8
Answer:
The answer is Savings account B
Savings account A offers a higher APY because it compounds quarterly, which is more frequent than savings account B which compounds semiannually. More compounding periods per year lead to interest being earned on interest more often, resulting in a higher effective yield.
Annual Percentage Yield (APY) given that both accounts offer the same Annual Percentage Rate (APR) of 7%, but one compound quarterly and the other semiannually. The APY is a measure of how much interest an account will earn in a year, taking into account the effect of compounding.
Compounding more frequently results in a higher yield because interest is earned on interest more often. Account A compounds quarterly, meaning it does so four times a year, while Account B compounds semiannually, meaning it does so twice a year. As the frequency of compounding increases, so does the APY, because the money earns interest on the interest that has been added to the account more frequently.
Therefore, the correct answer is A. Savings account A, because it has more compounding periods per year, which means it will have a higher APY compared to savings account B which compounds less frequently.
whats the equation for
4n + 6 - 2n= 2 (n+3)
To test μ for an x distribution that is mound-shaped using sample size n ≥ 30, how do you decide whether to use the normal or student's t distribution?
Knowing that this number, the Golden Ratio, is present not just in mathematics, but may also be present within your own brain and body (at the atomic or subatomic level), what do you think it means? Is this number evidence of a grand design, a massive freak coincidence or something else?
The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and the human body. The golden ratio can be present in your body, from the length of your arms and legs when compared to your torso. Fingers is another example because the length of our fingers, each section from the tip of the base to the wrist is larger than the preceding.
The measurement of the human navel to the floor and to the top of the head to the navel is also the Golden ratio. Plastic surgeons and dental surgeons use it to reconstruct the human face. It also appears in everything around us like in the nature and science. It appears on in flower petals because it is believed that each petal is placed to so that each petal gets the best exposure to sunlight. Dolphins, starfish, sea urchins and honeybees also exhibit the proportion like humans. DNA molecules measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral, these two number are successive numbers. I think that the Golden Ratio is just a freak coincidence that happened.
Find a formula for the inverse of the function, f(x)= 8-3/x^2, x>0. Explain if you can.
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x=49,6323º
Step-by-step explanation:
To solve this you just have to use the inverted sin X, remember that Sin=opposite/hyphotenuse
Sinx= 16/21
Sin x=,761904
x=-1Sin,761904
x=49,6323
So the measure of the angle X would be 49,6323.
how much does one pepper cost if they are priced three for 2.07
One pepper cost is 0.69.
What is Selling price?
Selling price is defined as the price that a customer pays to purchase a product.
Let one pepper cost is x,
Three peppers cost is 2.07,
x = ratio of the total cost of peppers to the number of peppers .
x= 2.07/3
x = 0.69
So, the peppers cost 69 cents each.
Hence, one pepper cost is 0.69.
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Which unit rate is the lowest price per ounce? Choice A: 5 ounces of raisins for $1.49 Choice B: 12 ounces of raisins for $3.59
A = 1.49/5 =0.298 cents per ounce
B = 3.59/12 = 0.299 cents per ounce
so A has the lowest unit price
The winner of a raffle will receive a 21-foot outboard boat. If 6000 raffle tickets were sold and you purchased 30 tickets, what are the odds against your winning the boat?
Answer: 199: 1.
Step-by-step explanation:
The odds against any event is the ratio of the unfavorable outcomes to the favorable outcomes.
Given , The winner of a raffle will receive a 21-foot outboard boat.
Total raffle tickets were sold = 6000
Number of tickets you have = 30
We assume that the lottery was fair , then, the number of possible outcome that you will win = 30
and the number of possible outcomes that one of the others wins = 6000-30= 5970
Then, the odds against your winning the boat = Number of possible outcomes that one of the others wins : Number of possible outcome that you will win
= 5970: 30 = 199:1 [∵[tex]\dfrac{5970}{30}=\dfrac{199}{1}[/tex]]
Hence, the odds against your winning the boat = 199: 1.
Which of the following are vertical asymptotes of the function y=3cot(1/2x)-4? A. 3pi B. 2pi C. pi/2 D. 0
Answer:
B and D
Step-by-step explanation:
How many plants x should she plant in each row so that her 25 plants end up in a square (i.e., x plants in each of x rows)?
At a concert there needs to be at least 1 member of staff working for every 150 members of the audience. If there are 20 members of staff, how many people are in the audience?
Evaluate x + sq root(yz) when x = 3, y = 2, and z = –8.
7i
3 + 4i
3 - 16i
3 + 16i
The value of the expression x + sqrt(yz) when x = 3, y = 2, and z = -8 is 3 + 4i.
Explanation:To evaluate the expression x + sqrt(yz), we substitute the given values for x, y, and z. Given x = 3, y = 2, and z = -8:
x + sqrt(yz) = 3 + sqrt(2*-8) = 3 + sqrt(-16) = 3 + 4i
Therefore, the value of the expression is 3 + 4i.
A balloon is released and flies straight up for 120 feet, and then the wind blows it east for 280 feet. Find the distance between the balloon and the site where it was released. Decimal rounded one place.
What is the positive root of the equation x 2 + 5x = 150?
The positive root of the given quadratic function is x = 10.
How to solve the quadratic function?We have the equation:
[tex]x^2 + 5x = 150[/tex]
First, we rewrite it as:
[tex]x^2 + 5x - 150 = 0[/tex]
Using the Bhaskara's formula, we will get:
[tex]x = \frac{-5 \pm \sqrt{5^2 - 4*(-150)*1} }{2} \\\\x = \frac{-5 \pm 25 }{2}[/tex]
The positive solution is:
x = (-5 + 25)/2 = 10
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A moving company charges 0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?
What is the simplified form of 5 - 4y + 2x - 3y - 2 + 5x?
A. 3 - 7y + 7x
B. 3 + 7y + 7x
C. 7 + 7y + 7x
D. 3 - y + 7x
show steps pls!
1. Derive the quadratic formula from the standard form (ax2 + bx + c = 0) of a quadratic equation by following the steps below.
2. Divide all terms in the equation by a.
3. Subtract the constant (the term without an x) from both sides.
4. Add a constant (in terms of a and b) that will complete the square.
5. Take the square root of both sides of the equation.
6. Solve for x.
We are given that:
a x^2 + b x + c = 0
Divide all terms with c/ a:
x^2 + (b / a) x + (c / a) = 0
Subtract c from both sides:
x^2 + (b / a) x + (c / a) – c / a = 0 – c / a
x^2 + (b / a) x = - c / a
Add a constant k to complete the square:
where k = ((b / a) / 2)^2 = (b /2a)^2
x^2 + (b / a) x + k = - c / a + k
x^2 + (b / a) x + (b/2a)^2 = - c / a + (b /2a)^2
So the perfect square trinomial is:
(x + b/2a)^2 = - c / a + (b /2a)^2
Taking the square root of both sides:
x + b/2a = sqrt [- c / a + (b /2a)^2]
x = sqrt [(-c/a) + (b /2a)^2] – (b/2a)
Answer:
My equation is 3x^2 + 12x + 24 = 0. When I divide all of the terms by 3, the equation becomes x^2 + 4x + 8 = 0. When I subtract both sides by the constant, 8, the equation is x^2 + 4x = -8. When I add a constant to create the perfect square, the equation now becomes x^2 + 12x + 36 = 28. Finally, the equation simplified equals (x + 6)= the square root of 28.
Step-by-step explanation:
in 2000 you weighed 175 pounds. in 2001 you weighed 62 pounds, and in 2002 you weighed 154 pounds. how many pounds did you lose from 2000 to 2002.
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
n=128,
p=0.27
The mean is ______
. (Round to the nearest tenth as needed.)
The variance,
σ^2 is ______
(Round to the nearest tenth as needed.)
The standard deviation, ______
A binomial distribution is an experiment where there are two outcomes; Success and failure. In here, you are given n = 128 and p = 0.27. The formula for the variance of a binomial distribution is n*p(1 – p) or n*p*q*. They are equivalent because q = 1- p. We will use the first equation.
Variance = n*p*(1 – p)
Variance = 128*0.27*(1 – 0.27)
Variance = 25.23
To get the standard deviation, find the square root of the variance.
Standard deviation = sqrt (Variance)
Standard deviation = sqrt (25.23)
Standard deviation = 5.02
The vertex form of the equation of a parabola is y = (x - 4)2 + 22. What is the standard form of the equation?
The equation in standard form is y = x^2 - 8x + 38
How to write the equation in standard form?The vertex form of the equation is given as':
y = (x - 4)^2 + 22
Expand the equation
y = x^2 - 8x + 16 + 22
Evaluate the sum
y = x^2 - 8x + 38
Hence, the equation in standard form is y = x^2 - 8x + 38
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What is the derivative of this function?
An item is regularly priced at $89 . It is now priced at a discount of 65% off the regular price.
someone help me. Not good at math
perimeter = add all 3 sides 13+13+10 = 36 cm
for area you need to find the height of the triangle, which is the red dotted line
to do that use the Pythagorean Theorem
a^2 + B^2= c^2
a^2 = height
a^2 +5^2 = 13^2
a^2 +25 = 169
a^2 = 169-25 = 144
a=square root(144) = 12
so the height is 12
area = 1/2 h x b = 1/2 x 12 x 10 = 1/2x 120 = 60
area = 60 cm^2
cost is $4 per square cm
there is 60 square cm in the triangle so multiply 60 x 4 = $240
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)? As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞ As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞ As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞ As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Answer: The correct option is B, i.e., "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞".
Explanation:
From the table it is noticed that the first row represents the value of x and the second row represents the value of f(x).
The value of f(x) is 14 at x = -5, after that the value of f(x) is decreased as the value of x increases.
The value of f(x) remains unchanged when the value of x approaches to 0 from 1.
The value of f(x) is -6 at x = 0, after that the value of f(x) is increased as the value of x increases.
From the table it is noticed that as the value of x approaches to positive infinity the value of f(x) is also approaches to positive infinity.
[tex]f(x)\rightarrow\infty \text{ as }x\rightarrow\infty[/tex]
From the table it is noticed that as the value of x approaches negative infinity the value of f(x) is also approaches to positive infinity.
[tex]f(x)\rightarrow\infty \text{ as }x\rightarrow-\infty[/tex]
These statement are shown in second option, therefore the second option is correct.
Answer:
The end behavior of the graph of the function f(x) is:
f(x) → ∞, and as x → –∞, f(x) → ∞ As x → ∞,
Step-by-step explanation:
Based on the table we could observe that the function f(x) is increasing to the left of -1 as well to the right of -1 and it attains the minimum value to be -6.
Hence, it can be predicted that the end behavior of the graph of the function f(x) goes to infinity in the left and also it goes to infinity in the right.
Hence, the statement that best describes the end behavior of the graph of f(x) is:
f(x) → ∞, and as x → –∞, f(x) → ∞ As x → ∞.
Its timed hurry lad
Evaluate the logarithm log8 (32)