Answer:
E:
Step-by-step explanation:
The equation of circles is
(x-a)²+(y-b)²=r²
Where
Center = (a,b) = (-6,-3) and r = 12
Now
The equation becomes
(x+6)²+(x+3)²=144
la). The answer to a subtraction problem is the
1b). The answer to an addition problem is the
Answer:
The answer in a subtraction problem is called the difference
the answer to addition is called the sum
Step-by-step explanation:
Blank DVD's are sold in packages of 50 for $17.95 if your company will need 2700 blank divide these next year how much money must your budget for blank dvd's
Answer:
Step-by-step explanation:
50 X 240 = 2700. So you will need 240 packs of 50. They cost 17.95 each, so the multiply. 240 X 17.95 is 4,308. So, 4,308 is your answer.
Any help? I'm having trouble.
Answer: Decay bc its less than 1.00 (proven by the exponential decay equation)
Step-by-step explanation:
percent would be 1.00-0.96= 0.04 , 4%
Find the value of each variable. (x and y)
Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)
Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).
Please answer correctly! I need this to be correct otherwise I will fail the semester!
Answer:
i=35
Step-by-step explanation:
What is (f-g) (x)? F(x) =-(2x-4) G(x)= 3x - 3
Answer:
Step-by-step explanation:
-2x + 4 - 3x + 3
-5x + 7
Michelle received $2300 as graduation gifts. She decided to open a savings account with the money. The savings account will draw 7% simple interest annually. If she leaves the money in the savings account for the next four years. How much money will there be in her savings account at the end the four years?
In order to calculate simple interest, we can use the following formula:
\(P=P_0+P_0\cdot i\cdot t\)Where P is the final value, P0 is the initial value, i is the interest and t is the amount of time.
Using P0 = 2300, i = 7% = 0.07 and t = 4, we have:
\(\begin{gathered} P=2300+2300\cdot0.07\cdot4 \\ P=2300+2300\cdot0.28 \\ P=2300+644 \\ P=2944 \end{gathered}\)So Michelle will have $2944 in her savings account after four years.
Find the quotient. 3/11 Divided by 2/5 (try to explain as much in numbers)
Answer:
15/22
Step-by-step explanation:
3/11 divided by 2/5 is basically 3/11 multiplied by 5/2
This happens because of reciprocals
3/11*5/2 Cross multiply (For this problem nothing can cancel out)
15/22 Cannot be simplified
Sorry I tried my best to do it in numbers! It's hard to not explain without words! :)
is 160,80,40,20 a arithmetic sequence or a geometric sequence or neither
The given sequence160,80,40,20 is the geometric sequence.
In an Arithmetic sequence, the difference between the two consecutive terms is equal.
In a Geometric sequence, the common ratio of the two consecutive terms is equal.
The given sequence is 160, 80, 40, 20
Now,
\(T_{1} = 160\\T_{2} = 80\\T_{3} = 40\\T_{4} =20\)
Subtracting the consecutive terms to calculate the common difference,
\(d = T_{2} -T_{1} = 80 -160 = -80\)
\(T_{3} -T_{4} = 40 -80 = -40\)
So, \(T_{2} -T_{1} \neq T_{3} -T_{4}\)
So, the given sequence is not an arithmetic sequence.
Now, Calculating the common ratios,
\(r = \frac{T_{2} }{T_{1} } = \frac{80}{160} = \frac{1}{2}\)
and, \(r =\frac{T_{3} }{T_{2} } = \frac{40}{80} = \frac{1}{2}\)
Hence, the ratio is the same for consecutive terms.
So, the given sequence is the geometric sequence.
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A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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13 as prime or composite
Answer:
prime
gggghfsssddfdfv ut b dc t
Answer:
the number 13 is a prime number
Which graph represents the inequality? y>-1/2
Answer:A
Step-by-step explanation:took it
Answer:
A
Step-by-step explanation:
whole circle pointing right
Mary disposed $7,000 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 3 years?
The formula for simple interest
\(A=P(1+rt)^{}\)Where
A is the amount
P is the principal
r is the rate
t is the time
in this case
P=7000
r=5%
t=3
we substitute the values
\(A=7000(1+(0.05\cdot3))\)\(A=8050\)the interest is
8050-7000= 1050
PLSS HELP!!
Explain the process to simplify the rational expression including any domain restriction.
Explain why there are domain restrictions.
Simplify: 2x²+13x+20
———————
2x2+17x+30
the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).
What is factor?In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).
In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.
To simplify a rational expression, follow these steps:
Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).
Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.
Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:
\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)
Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.
It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.
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please help me with math
Answer: A) \(y=\frac{3}{7}x-2\)
Step-by-step explanation:
its just the answer, and if you want explanation just say...
4) Kate's electricity bills for the first five months of the year were $73.62, $81.76, $72.30, $67.24,
and $65.98. If the mean for the first 6 months was $70.56, what was her bill for the sixth month?
Answer:
$60.91 (US dollars)
Step-by-step explanation:
$73.62 (US dollars) + $81.76 (US dollars) + $72.30 (US dollars) + $67.24 (US dollars) + $70.56 (US dollars) = $365.48 (US dollars)/6 = $60.91 (US dollars)
The sixth's month electricity bill is $62.46.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
Kate's electricity bills for the first five months of the year were $73.62, $81.76, $72.30, $67.24, and $65.98.
The mean for the first 6 months was $70.56.
Len n be the electricity bill for the sixth month.
So, the mean = average of electricity bill.
70.56 = (73.62 + 81.76 + 72.30 + 67.24 + 65.98 + n) / 6
70.56 x 6 = 360.9 + n
n = 62.46
Therefore, $62.46 is the sixth month bill.
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Suppose that 75% of adult Americans agree that, while downloading music from the Internet and then selling it is piracy and should be prohibited, downloading for personal use is an innocent act and should not be prohibited.We will take a random sample of 30 American adults and ask them if they agree with the statement. Then the sampling distribution of the sample proportion of people who answer yes to the question is:
Answer:
The sampling distribution of the sample proportion of people who answer yes to the question is approximately normal with mean of 0.75 and standard deviation of 0.0791.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
In this question:
\(p = 0.75, n = 30\)
So
\(\mu = 0.75, s = \sqrt{\frac{0.75*0.25}{30}} = 0.0791\)
The sampling distribution of the sample proportion of people who answer yes to the question is approximately normal with mean of 0.75 and standard deviation of 0.0791.
Could use help on this thank you in advance!
Answer:
what exactly do i need to do ?????
Step-by-step explanation:
What is the value of v? (help no links and thx)
Answer:
74.7
Step-by-step explanation:
How many solutions does (8x-4)=3-6x have? Show your work
There are only one solution x= 1/2 in the expression.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\
Given that;
The expression is,
⇒ 8x - 4 = 3 - 6x
Now, We can simplify the expression as;
⇒ 8x - 4 = 3 - 6x
Add 6x both side,
⇒ 8x + 6x - 4 = 3 - 6x + 6x
⇒ 14x - 4 = 3
Add 4 both side,
⇒ 14x - 4 + 4 = 3 + 4
⇒ 14x = 7
Divide by 14;
⇒ x = 7/14
⇒ x = 1/2
Thus, There are only one solution x= 1/2 in the expression.
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-
kilograms.
3
All built 6 wooden toys. Each toy had a mass of
4
What was the total mass of the toys that he built?
Write your answer in simplest form.
In triangle FGH, m∠F=59°
and m∠H=77
Complete the equation to determine m∠G
Answer: 44 degrees
Step-by-step explanation: 59+77+x=180
x=44
help pls!! I'll mark brainlist for good answer!!!
Answer:
For number 1: 2 For number 2:for the y a-xis (up and down) 7 and for the second x-axis(left and right) 10
Step-by-step explanation:
If you look at the first parallelogram the first as the numbers 21 and 6, on the second 7 which tells you they divided by 3, so 6 divided by 3 is 2. For Problem 2: They provide the numbers 14,8, and 20 on the second triangular prism it says 4 telling you it is divided by 2, so you get the numbers 7 and 10 for your answer.
Multiply (x + 1)
x2+1
x2+x+2
x2+x+1
x2+2x+1
Answer:
x
3
−
1
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
if the log↓b(a)=0, what is the value of a?
explain why log↓0 (3) and log↓1 (3) do not exist.
Answer:
1. a = 1
2. See explanation below.
Step-by-step explanation:
First Question
Given:
\(\displaystyle \large{\log_b a = 0}\)
Convert to exponential:
\(\displaystyle \large{\log_b a = c \to b^c = a}\)
Thus \(\displaystyle \large{\log_b a = 0 \to b^0 = a}\)
Evaluate:
\(\displaystyle \large{b^0 = a}\)
We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.
Solution:
\(\displaystyle \large{a = 1}\)
__________________________________________________________
Second Question
Given:
\(\displaystyle \large{log_0 3}\) and \(\displaystyle \large{\log_1 3}\)
Let’s convert to an equation:
\(\displaystyle \large{\log_0 3 = x}\) and \(\displaystyle \large{\log_1 3 = y}\)
The variables represent unknown values of logarithm.
Convert to exponential:
\(\displaystyle \large{0^x = 3}\) and \(\displaystyle \large{1^y = 3}\)
Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.
Hence, no solutions for x and y.
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
1. Which of the following expressions is equivalent to 3 + 3×12 ÷ 4×3?
6×12÷4×3
3 + 3×12÷12
3+3×3×3
3÷36÷4×3
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue