Mike is 46 years old. He is 4 years older than three times his son, Jared's age. Find Jared's age.
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Related Questions
how to calculate area?
Answers
Answer:
Do l x w. Length (x) width.
Step-by-step explanation:
Answer:
FOR TRIANGLE--- area = Base TIMES Height.
Step-by-step explanation:
Please help ASAP! Thank you
Answers
Answer:
a. lines intersecting at a single point
b. one solution
Step-by-step explanation:
a. The equations can be rewritten as:
y = -5x+23 and y = -1/6x+1
Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.
Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.
b. The equation will have one solution as below.
The equations can be rewritten as:
5x+y=23
5x+30y=30
Subtracting both equation will result in,
29y=7
=> y=7/29
Hence x= 660/29
To simplify 1/4(8)^2(12), Rémy wrote 2^2•12=48. Find and correct Remy’s error.
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Answer:
work out 8^2 and then ×1/4
\( \frac{1}{4} (8)^{2} = 16 \: not \: 8\)
therefore
\( \frac{1}{4} ({8})^{2} (12) = 192\)
WILL GIVE BRAINLIEST IF CORRECT!!!
The Mathletes won 2 of their first 10 meets. They went on to win all their remaining meets and finished the year with an equal number of wins and losses. What is the total number of meets in which the Mathletes competed?
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Answer:
16 total meets
Step-by-step explanation:
it would break even at 8 wins and 8 loss so add them together and get 16 total meets.
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters
Answers
Answer:
660.4 Millimeters
Step-by-step explanation:
The conversion for inches to millimeters is 25.4, therefore to get the answer. I multiplied 26 by 25.4
25 8 25.4 = 660.4 Millimeters
A truck driver averages 60 miles per hour while delivering freight and 45 mph on the return trip.The total driving time is 10 hours. How much longer does the return trip take than the delivery
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The return trip takes 0.7 hrs more than the delivery.
Let the time taken while going be x therefore the time taken while returning will be 10 - x.
Given :
The truck driver averages 60 miles per hour while delivering freight
The speed is 45 mph on the return trip.
Therefore according to the question,
60x = 45 ( 10 - x) [ As the distance is same]
=> 4x = 3 ( 10 - x)
=> 4x = 30 - 3x
=> 7x = 30
=> x = 30 / 7
=> x = 4.3
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Find the inverse of the divisor to complete the equation.
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The inverse of the divisor which can be used to complete the given equation would be 7/1.
What is inverse of divisor?The inverse of a divisor is defined as the changing of the numerator with the denominator when division is being carried out in fraction after which it can be multiplied to arrive at an answer.
The given fractions for division are as follows!
= 1/5 ÷ 1/7
= 1/5 × 7/1
= 7/5
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A number divides equally into another number called ______. A.Remainder
B.divisible
C.Multiplier
D.Divisor
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Answer: Divisor
Step-by-step explanation:
The the answer to a division problem is called the quotient. The number that is doing the dividing is called the divisor. The number that gets divided up is called the dividend.
Example: If 3 boys ask to mow your yard for $24, then each boy would get $8.
24 divided by 3 is 8. (24 / 3 = 8 )
24 is the dividend (the number getting divided up)
3 is the divisor (the number that is doing the dividing)
8 is the quotient.
Which sequence is generated by the function f(n+1)(n)-2for f(1)=10?
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Given the following:
\(\begin{gathered} f(n+1)=f(n)-2 \\ \text{where f(1)=10} \end{gathered}\)To generate the sequence, we have:
\(\begin{gathered} \text{when n=1} \\ f(1+1)=f(1)-2 \\ f(2)=10-2=8 \end{gathered}\)\(\begin{gathered} \text{when n=2} \\ f(2+1)=f(2)-2 \\ f(3)=8-2=6 \end{gathered}\)\(\begin{gathered} \text{when n=3} \\ f(3+1)=f(3)-2_{} \\ f(4)=6-2=4 \end{gathered}\)\(\begin{gathered} \text{when n=4} \\ f(4+1)=f(4)-2 \\ f(5)=4-2=2 \end{gathered}\)Hence, the correct option is Option D
Can someone help me with this???
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The answer to number 2 is- no it's not a right triangle
the answer to number 3 is- yes it is a right triangle
Find the Central Angle
mXY = = 18 in
radius ZY = 7.64 in
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The central angle is approximately 2.357 radians.
To find the central angle, we can use the formula:
Central angle (θ) = arc length ÷ radius
Given:
Arc length (mXY) = 18 in
Radius (ZY) = 7.64 in
Plugging in the values:
Central angle (θ) = 18 in ÷ 7.64 in
Calculating the division:
θ ≈ 2.357 radians
Therefore, the central angle is approximately 2.357 radians.
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What is the divisibility rule for 16?
Answers
Answer:
If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Add the last two digits to four times the rest. The result must be divisible by 16.
The last four digits must be divisible by 16.
Answer:
If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Example: 3408: 408 + 8 = 416.
Step-by-step explanation:
Given that logb(7)≈1.946, logb(9)≈2.197, and logb(16)≈2.773, find the logarithm of logb(1/63)
b is base b
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The logarithmic expression given as logₙ(1/63) has its value to be -4.143
How to determine the logarithmic expression?From the question, the given parameters are
logₙ(7) = 1.946
logₙ(9) = 2.197
logₙ(16) = 2.773
The logarithmic expression to calculate is given as
logₙ(1/63)
Express 1/63 as 1/7 * 1/9
So, we have the following representation
logₙ(1/63) = logₙ(1/7 * 1/9)
Apply the product of logarithm
This gives
logₙ(1/63) = logₙ(1/7) + logₙ(1/9)
Apply the exponent of logarithm
This gives
logₙ(1/63) = -logₙ(7) - logₙ(9)
Substitute logₙ(7) = 1.946 and logₙ(9) = 2.197 in logₙ(1/63) = -logₙ(7) - logₙ(9)
logₙ(1/63) = -1.946 - 2.197
Evaluate
logₙ(1/63) = -4.143
Hence, the value of the logarithmic expression is -4.143
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Why do we choose 5% as a risk of making error and not 1%
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In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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Lim 3√x-1/x-1. as x tends to 1
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Answer: To find the limit of the expression 3√x-1/x-1 as x approaches 1, we can use L'Hopital's Rule. L'Hopital's Rule is a method for finding the limit of indeterminate forms, such as 0/0 or ∞/∞, by taking the derivative of the numerator and denominator.
In this case, the expression is of the form 0/0, so we can use L'Hopital's Rule:
lim 3√x-1/x-1 = lim (3/2)((x-1)^(1/2)) / 1 = 3/2
So the limit of the expression 3√x-1/x-1 as x approaches 1 is equal to 3/2.
Step-by-step explanation:
If (x + 4) is a factor of f(x), which of the following must be true?
Group of answer choices
f(-4) = 0
Neither x = -4 nor x = 4 are roots of f(x).
Both x = -4 and x = 4 are roots of f(x).
f(4) = 0
Answers
Here, we replace x with -4. In doing so, we see that (-4+4) is indeed 0, making this the correct answer.
The next two choices are incorrect since only -4 is a root of f(x), as explained above (a root occurs when the function equals zero when plugging in that “root”).
The last answer is incorrect since plugging in 4 will get f(4)=8.
A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)
Answers
Answer:
18 cubic inches
Step-by-step explanation:
The formulas for the volumes of a cone and a cylinder can be used to answer this question.
Volume formulasThe volume of a cone is given by ...
V = 1/3πr²h . . . . . volume of cone with radius r and height h
The volume of a cylinder is given by ...
V = πr²h . . . . . volume of a cylinder with radius r and height h
Relation between volumesComparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
(cone volume) = 1/3(cylinder volume)
Multiplying this equation by 3 gives ...
3×(cone volume) = (cylinder volume)
Using the given value for cone volume, we have ...
cylinder volume = 3×(6 in³) = 18 in³
The volume of the cylinder is 18 cubic inches.
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 204, with a standard deviation of 42.5 (the units
are milligrams per deciliter). A simple random sample of 112 adults is chosen. Use the TI-84 calculator. Round the answers to four
decimal places. What is the probability that the sample mean cholesterol level is between 192 and 2027
The probability that the sample mean cholesterol level is between 192 and 202 is
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Find the perimeter of a parallelogram and one semicircle
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Answer:
For semicircle examples, skip to section 1For parallelogram examples, skip to section 2To find the perimeter of a parallelogram, use the formula, 2(a+b)
To find a semicircle perimeter, use the formula of (π × r) + (2 × r)
note that without any specified values for the shapes, you cannot properly find a value.
__________
1. \(\sf Semicircles\)
So let's say I have a bowl that is ironically shaped like a semicircle, and its radius is 6 units.
What we know is that the semicircle has a radius of 8 units, and what we must find is the perimeter.So let's solve.Use the formula from earlier.(Using 3.14 for pi)
\((\pi *r)+(2*r)\)
\(=\pi * r(8) + 2 * r(8) = 41.12\)
__________
2. \(\sf Parallelograms\)
And let's say I have a new origami shape that contains a figure similar to a parallelogram. We want to find it's perimeter. What is the first step?
The first step is using the parallelogram perimeter formula as listed below and above.\(2(a+b)\)
Where a is the side and b is the base.
And let's also say this figure has a base of 7 and a side of... let's say a side length of 9Now that we have values, use the formula to solve.\(2*(7+9) = 32\)
__________
\(\sf Questions\)
If you have any questions, please reach out via the comments. I hope this helps, and have a great day!
The function f is defined as follows for the domain given. f(x)= 1-3x domain = (-1, 0, 1, 2)(a)Write the range of f using set notation. (b)Then graph f.
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Answer:
(a)Range: {-5, -2 ,1 ,4}
Explanation:
The function f is defined below:
\(f\mleft(x\mright)=1-3x\)The domain of f(x) = {-1, 0, 1, 2}.
(a)To find the range of f(x), we evaluate f(x) for each value in the domain.
\(\begin{gathered} f\mleft(-1\mright)=1-3\left(-1\right)=1+3=4 \\ f\mleft(0\mright)=1-3(0)=1-0=1 \\ f\lparen1)=1-3(1)=1-3=-2 \\ f\mleft(2\mright)=1-3(2)=1-6=-5 \end{gathered}\)Therefore, the range of f is:
\(\{-5,-2,1,4\}\)(b)Next, we graph f.
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
Answers
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
Answers
The distance that an object falls due to gravity is given by the equation:
d = 1/2 * g * t^2
where d is the distance fallen, g is the acceleration due to gravity, and t is the time elapsed.
In this case, we are given that the penny falls 16 feet during the first second, 48 feet during the second second, and 80 feet during the third second. From this, we can see that the penny is falling with a constant acceleration of 32 feet per second per second (since the distance is increasing by 32 feet each second).
To find the distance that the penny falls during the eighth second, we can use the same equation as before, but with a value of t equal to 8 seconds:
d = 1/2 * g * t^2
d = 1/2 * 32 * 8^2
d = 1/2 * 32 * 64
d = 1024 feet
Therefore, the penny will fall 1024 feet during the eighth second.
(4/5)-2 solution
simplify the equation
Answers
Step-by-step explanation:
first we will take comman then
\( \frac{4}{5} - \frac{2 \times 5}{5} \)
then 4 - 10
it will be
\( \frac{6}{5} \)
or
\(1 \frac{1}{5} \)
i hope it will help
Answer:
Solution is \(\frac{-6}{5}\)
Step-by-step explanation:
\(\frac{4}{5} - 2\)
Set common denominators
\(\frac{4}{5} - \frac{10}{5}\)
Subtract
\(\frac{4}{5} - \frac{10}{5} = \frac{-6}{5}\)
Where us point c on the number line
Answers
Answer: - 0.3
Step-by-step explanation:
Correct me if I am incorrect.
Which polynomial is equivalent to 364 (663 - 762 + 5)?
Answers
Answer:
240575
Step-by-step explanation:
364×663=241332
241332-762=240570
240570+5=240575
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
A pot contains 25 ounces of soil. You use 4 1/4 ounces of soil to plant 1 herb. Is there enough soil in the pot to plant 5 herbs?
Answers
Answer: yes
Step-by-step explanation:
25 divided by 4 1/4 = 5 15/17
hope this helps :)
More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.
Answers
The interest paid for the loan is $1748
Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,
We need to find the interest paid for the same.
So,
Simple Interest = principal × time × rate / 100
= 28654 × 1 × 6.1 / 100
= 28654 × 0.061
= 1747.894
= 1748
Hence the interest paid for the loan is $1748
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Eugene and three of his friends went out to eat. They decided to split the bill evenly. Each person paid $11. What was the total bill?
Answers
Answer:
Step-by-step explanation:
Je calcule la facture totale
11x4=44
La facture totale d'Eugène et ses trois amis était de 11$
Please help me understand
Answers
Answer:
polynomial degree is 5
leading term is 2x^5
coefficient is 2
Step-by-step explanation: