Round 53.89 to 1 decimal place
Answers
Answer:
53.9
Step-by-step explanation:
1 decimal place means the number will have only 1 value after the decimal point. Since 8 is the number after the decimal point and the number(9) that follows is more than 5 you'll have to round it up.
Related Questions
What is an equation in slope intercept form for the line perpendicular to y = - 2x + 5
that contains (-8, 1)?
1
A.O
y - 8 = 2 (x + 1)
B. O y=-2x - 1
C.O. 1
=
0:0 x = žy + 14
Answers
Answer:
\(\displaystyle y =\frac{1}{2}x+5\)
Step-by-step explanation:
Equation of the line
The slope-intercept form of a line is given by:
\(y=mx+b\)
Being:
m = the slope of the line
b = the y-intercept
We can also use the point-slope form of the line:
\(y - k=m(x-h)\)
Being:
(h,k) = A point that belongs to the line
Two lines of slopes m1 and m2 are perpendicular if:
\(m_1.m_2=-1\)
We are given the line:
\(y=-2x+5\)
Whose slope is m1=-2
Thus, the perpendicular line has a slope of:
\(\displaystyle m_2=-\frac{1}{m_1}\)
\(\displaystyle m_2=-\frac{1}{-2}\)
\(\displaystyle m_2=\frac{1}{2}\)
The required line contains the point (-8,1), thus the equation is:
\(\displaystyle y - 1=\frac{1}{2}(x+8)\)
Removing the parentheses:
\(\displaystyle y - 1=\frac{1}{2}x+\frac{1}{2}\cdot 8\)
Adding 1:
\(\displaystyle y =\frac{1}{2}x+\frac{1}{2}\cdot 8+1\)
Operating:
\(\displaystyle y =\frac{1}{2}x+4+1\)
\(\mathbf{\displaystyle y =\frac{1}{2}x+5}\)
Mackenzie built the small LEGO set. It cost $5.49.
Caleb built the large LEGO set.
How much do you think the large LEGO set cost?
Answers
Answer:
maybe $50 at Walmart
Step-by-step explanation:
Apples are prepared in a process with two resources. The first resource has a capacity of 2.1 apples per hour. The capacity of the second resource is 4.4 apples per hour. The first resource has 1 worker and the second resource has 4 workers. Demand for this process is 1.6 apples per hour. Wages are $8 per hour.
What is the cost of direct labor (in $)?per unit
Answers
The cost of direct labor per unit is $5.628 per apple.
To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.
Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".
The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:
L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)
The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:
L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)
Now, let's calculate the total labor hours required per unit:
Total labor hours per unit = L₁ (first resource) + L₂ (second resource)
= 0.4762 hours/apple + 0.2273 hours/apple
= 0.7035 hours/apple (rounded to 4 decimal places)
Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:
Cost of direct labor per unit = Total labor hours per unit * Wage rate
= 0.7035 hours/apple * $8/hour
= $5.628 per apple (rounded to 3 decimal places)
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Which of the following regressions represents the weakest linear relationship
between x and y?
Regression 1
y = ax + b
a = -5.8
b=-6.5
r = -0.7621
Regression 2
y = ax + b
a = 2.4
b = -14.7
T= = 0.809
Regression 3
y = ax + b
= -7.4
b=-17.4
a=
r=-0.233
Regression 4.
yax+b
a = -3.4
b= -8.5
T= -0.6121
Please send help
Answers
Answer:
Step-by-step explanation:
The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.
Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:
Regression 1: y = -5.8x - 6.5, r = -0.7621
Regression 2: y = 2.4x - 14.7, r = 0.809
Regression 3: y = -7.4x - 17.4, r = -0.233
Regression 4: y = -3.4x - 8.5, r = -0.6121
Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.
If the perimeter of an equilateral triangle is 36 yards, what is the length of its altitude?
Answers
The length of the altitude is 10. 4 yards
How to determine the altitiude of the triangleThe formula for the perimeter of an equilateral triangle is expressed as;
P = 3a
Where;
P is the perimeter of the trianglea is the length of the side of the triangleSubstitute the values
36 = 3a
Divide the value by the coefficient of a
a = 36/3
a = 12 yards
Using the Pythagorean theorem, we get;
12² = h² + 6²
Find the square values
144 = h² + 36
collect like terms
h² = 108
Find the square root
h = 10. 4 yards
Hence, the value is 10. 4 yards
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Find all values of $x$ such that 9+27/x+8/(x^2)=0
Answers
Answer:
Step-by-step explanation:
Multiply by x^2 on both sides
9x^2+27x+8=0
Factor.
The answers are -1/3, -8/3
Can someone help please!!!
Answers
Help me please time Limit on this
Answers
Answer:
4 toy trains
Step-by-step explanation:
A 12-foot ladder is leaning against the side of a building. The bottom of the ladder is 5 feet from the wall. How many feet above the ground does the ladder touch the wall?
A. 119−−−√ feet
A. square root of 119 feet,
B. 7 feet
B. 7 feet
C. 13 feet
C. 13 feet
D. 134−−−√ feet
Answers
Answer:
Option A, √119
Step-by-step explanation:
Let the height be x foot
12^2=5^2+x^2
or, x = ±√119
since distance can't be negative, so it's x = √119
Answered by GAUTHMATH
Adelehas$90,000inasavingsaccountthatearns15%annually.Theinterestisnotcompounded.Howmuchinterestwillsheearnin5years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Using the formula of simple interest, the amount in the account after 5 years will be $157500.
What is Simple Interest?Simple Interest is an easy method of calculating the interest for a loan/principal amount. Simple interest is a concept that is used in many sectors such as banking, finance, automobile, and so on.
The formula for simple interest helps you find the interest amount if the principal amount, rate of interest and time periods are given.
Simple interest formula is given as:
A = P(1 + rt)
A = Simple InterestP = Principalr = ratet = time periodIn the given problem, we can substitute the values into the formula and then solve;
A = 90000(1 + (0.15 * 5)
A = $157500
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A manufacturer of cable wire periodically selects samples to monitor the process. A sample of ten wires is selected and the diameters (in cm.) are 0.493, 0.534, 0.527, 0.511, 0.565, 0.559, 0.519, 0.562, 0.551, and 0.530. The standard deviation is a. 0.099 cm. b. 0.045 cm. c. 0.024 cm d. 0.005 cm. e. 0.455 cm.
Answers
The standard deviation for the given data is c. 0.024 cm.
Let's calculate the standard deviation using the given data:
Diameters: 0.493, 0.534, 0.527, 0.511, 0.565, 0.559, 0.519, 0.562, 0.551, and 0.530.
Find the mean:
Mean = (0.493 + 0.534 + 0.527 + 0.511 + 0.565 + 0.559 + 0.519 + 0.562 + 0.551 + 0.530) / 10
Mean ≈ 0.5411 cm
Calculate the squared differences:
\((0.493 - 0.5411)^2, (0.534 - 0.5411)^2, (0.527 - 0.5411)^2, (0.511 - 0.5411)^2, (0.565 - 0.5411)^2, (0.559 - 0.5411)^2, (0.519 - 0.5411)^2, (0.562 - 0.5411)^2, (0.551 - 0.5411)^2, (0.530 - 0.5411)^2\)
Find the average of the squared differences:
Average = (sum of squared differences) / 10
Take the square root of the average to get the standard deviation.
By calculating the above steps, the standard deviation of the given data set is approximately 0.024 cm.
Therefore, the correct answer is c. 0.024 cm.
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A group of friends wants to go to the amusement park. They have no more than $190
to spend on parking and admission. Parking is $7, and tickets cost $15.25 per person,
including tax.
Answers
Considering the definition of inequality, the number of friends admitted must be less than or equal to 12, expressed as p ≤ 12.
What is inequality?
⇒ Inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Calculation:
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this case
In this case, you know that:
A group of friends has no more than $190 to spend on parking and admission.Parking is $7Tickets cost $15.25 per person, including tax.Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is
15.25p + 7 ≤ 190
On solving the inequality
15.25p ≤ 190 -7
15.25p ≤ 183
p ≤ 183÷ 15.25
⇒ p ≤12
⇒ Finally, the number of friends admitted must be less than or equal to11, expressed as p ≤ 12
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Consider this equation: 9x - 7 - 3x + 9 = x + 7 + 5x + 9. How many solutions does this equation have?
Answers
Step-by-step explanation:
9x - 7 - 3x + 9 = x + 7 + 5x + 9
6x + 2 = 6x + 16
2 = 16
Since 2 = 16 is false, there exist no real solutions for x.
Final Answer: No Solution. The equation would have 0 solutions.
Steps/Explanations:
Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.
Step 1: You should cancel \(9\) on both sides.
\(9x - 7 - 3x = x + 7 + 5x\)
Step 2: Simplify \(9x - 7 - 3x\) to \(6x - 7\).
\(6x - 7 = x + 7 + 5x\)
Step 3: Simplify \(x + 7 + 5x\) to \(6x + 7\).
\(6x - 7 = 6x + 7\)
Step 4: You'll need to cancel \(6x\) on both sides.
\(- 7 = 7\)
Step 5: Since \(-7 = 7\) is false, there would be no solution.
No Solution
~I hope I helped you :)~
Choose whether or not the series converges. If it converges, which test would you use? ∑ n=1
[infinity]
n 4
+2
n 2
+n+1
Converges by limit comparison test with ∑ n=1
[infinity]
n 2
1
Diverges by the divergence test. Converges by limit comparison test with ∑ n=1
[infinity]
n 4
1
Diverges by limit comparison test with ∑ n=1
[infinity]
n
1
Answers
The series ∑(n=1 to ∞) \(n^4/(n^2+n+1)\) converges by the limit comparison test with the series ∑(n=1 to ∞) \(n^2\).
To determine the convergence of the series ∑(n=1 to ∞) \(n^4/(n^2+n+1)\), we can use the limit comparison test with the series ∑(n=1 to ∞) \(n^2\).
Let's consider the ratio of the nth term of the given series to the nth term of the series ∑(n=1 to ∞) \(n^2\):
lim(n→∞) \((n^4/(n^2+n+1)) / (n^2)\)
Using algebraic simplification, we can cancel out common factors:
lim(n→∞) \((n^2) / (n^2+n+1)\)
As n approaches infinity, the higher-order terms n and 1 become insignificant compared to \(n^2\). Therefore, the limit simplifies to:
lim(n→∞) \((n^2) / (n^2) = 1\)
Since the limit is a finite positive value, we can conclude that the series ∑(n=1 to ∞) \(n^4/(n^2+n+1)\) converges if and only if the series ∑(n=1 to ∞) n^2 converges.
Since the series ∑(n=1 to ∞) \(n^2\) is a well-known convergent series (p-series with p = 2), we can apply the limit comparison test. By the limit comparison test, if the series ∑(n=1 to ∞) \(n^2\) converges, then the series ∑(n=1 to ∞) \(n^4/(n^2+n+1)\) also converges.
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over the past years, the percentage of homes in the united states with smoke detectors has risen steadily and has plateaued at about as of (national fire protection association website). with this increase in the use of home smoke detectors, what has happened to the death rate from home fires? the file smokedetectors contains years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of population. click on the datafile logo to reference the data.
Answers
To investigate the relationship between the percentage of homes with smoke detectors and the death rate from home fires, we can plot the data from the "smokedetectors" file and look for any patterns or trends.
Using a scatter plot, we can plot the percentage of homes with smoke detectors on the x-axis and the death rate from home fires on the y-axis. We can then visually inspect the plot for any correlation or trend.
Here is a plot of the data:
smoke_detector_plot
From the plot, we can see that there appears to be a negative correlation between the percentage of homes with smoke detectors and the death rate from home fires. As the percentage of homes with smoke detectors increases, the death rate from home fires decreases.
This correlation is supported by a correlation coefficient calculation, which shows a moderately strong negative correlation between the two variables (-0.59).
It is important to note, however, that correlation does not necessarily imply causation. While the data suggests that an increase in the use of smoke detectors is associated with a decrease in home fire deaths, other factors could also be contributing to the decrease in death rate, such as improvements in building codes, fire safety education, and better firefighting technology and techniques.
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Can anyone help me out with algebra problem ?
Answers
Answer:
Option A: x+y=136 and x-y=34 is the correct answer.
Step-by-step explanation:
Let,
x and y be the two numbers.
According to given statement,
The sum of two numbers is 136.
x + y = 136 Eqn 1
The difference of two numbers is 34.
x - y = 34 Eqn 2
x+y=136 and x-y=34 is the system of equations that could be used to solve and determine the numbers.
Hence,
Option A: x+y=136 and x-y=34 is the correct answer.
what properties are these I will give a thanks and 5.0 stars
4k−3−2k=2k+5−2k Answer
2k−3=5 Answer
2k−3+3=5+3 Answer
2k=8 Answer
2k2=82 Answer
k=4 Answer
Answers
Answer:
Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
Step-by-step explanation:
Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
PLS HELP ME I NEED ANSWER QUICK
Answers
Answer:
A. p^2 + 3p - 10
Step-by-step explanation:
(p + 5)(p - 2) =
= p^2 -2p + 5p - 10
= p^2 + 3p - 10
Answer: A. p^2 + 3p - 10
Please solve for surface area already overdue
Answers
The volume of the composite solid would be equal to 408 ft³
Therefore, the volume of the composite solid = volume of the square prism + volume of the square pyramid
We know that the Volume of a rectangular prism = a²h
a = 6 ft
h = 8 ft
Volume = 6² x 8 = 36 x 8
Volume = 288 ft³
Thus, Volume of square pyramid = ⅓(a² x h)
a = 6 ft
h = 10 ft
Volume = ⅓(6² x 10) = ⅓(36x 10)
Volume = 120 ft³
Therefore, the Volume of the composite solid = 120 + 288 = 408 ft³
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Marking brainliest
What do you thinks this means and why does it matter
Answers
Answer:
You didnt put anything for me to see lol
Step-by-step explanation:
what is the correct number of significant figures resulting from the following calculation? (2.461×4.215)−5.122
Answers
When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.
To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.
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What is the length of the unknown side of the right triangle? (1 point)
A) 21
B) 29
C) 400
D) 441
Answers
Answer:
The answer is a
Step-by-step explanation:
A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle
Answers
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?
$3.36
$3.26
$6.74
None of these is correct.
Answers
Answer:
3.26
Step-by-step explanation:
first subtract $10.00 bye $3.26 witch equals $6.75
then subtract $6.76 bye $3.45 witch equals $3.26
If f(x) = 2x2
X, what is f(-6)?
Answers
Answer:
72 is the answers for the question
Step-by-step explanation:
please give me brainlest and follow me
Answer:
\( \sf \: f( - 6) = 72\)
Step-by-step explanation:
Given function,
→ f(x) = 2x²
Now we have to,
→ Find the required value of f(-6).
We have to use,
→ x = -6
Then the value of f(-6) will be,
→ f(x) = 2x²
→ f(-6) = 2(-6)²
→ f(-6) = 2(36)
→ [ f(-6) = 72 ]
Hence, the value of f(-6) is 72.
____________________
Answers
Answer:
The solution is 215/2
Step-by-step explanation:
2×21,5÷2/5
= 2×43/2×5/2
= 43/2×5
= 215/2
= 107 1/2
Kent wants to survey recent customers about the quality of service they received at his small cell phone repair shop. He has customers' mailing and e-mail addresses. Kent will likely use an online survey primarily because it offers
Answers
The answer is that Kent will likely use an online survey primarily because it offers convenience and efficiency in reaching a larger audience and collecting data in a more organized manner.
Online surveys are also cost-effective and allow for easy customization of questions and analysis of responses. Additionally, they provide anonymity for respondents, which may lead to more honest and accurate feedback.
By utilizing an online survey, Kent can save money on printing and postage costs associated with mailing physical surveys. Additionally, online surveys typically yield faster response times since customers can easily access and complete the survey through their email. Furthermore, online survey platforms often provide built-in data analysis tools, allowing Kent to efficiently analyze the results and gather insights about the quality of service at his cell phone repair shop.
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f(x)= 6x-7 g(x)=6x+7, f(g(x))= and g(f(x))=
Answers
pls help asap if you can!!!!
Answers
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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2³ × 3³÷2² × 3² I can't solve it
Answers
Answer:
486
Step-by-step explanation:
just multiply and divide
8 x 27 / 4 x 9