Answer:
4 (x+4)
Step-by-step explanation:
4x+16 = 4 * x + 4*4 = 4 (x+4)
can someone help me to solve this, pls explain me the solution step-by-step, I really need ur help )))))))
Answer:
[tex]\frac{8}{6} = \frac{20}{15}[/tex]
Step-by-step explanation:
It appears that a is the missing value that needs to be solved. The equal sign means that the two values are equal to each other and the other not equal sign means that they don't equal each other.
Whenever dealing with two fractions that equal each other, you can use the fraction cross-product property, where you would multiply the numerator with the denominator and vice versa.
[tex]\frac{8}{a} = \frac{20}{15} \\\\8 \times 15 = 20 \times a\\\\120 = 20a\\\\a = 6[/tex]
So, the fraction would be
[tex]\frac{8}{6} = \frac{20}{15}[/tex]
according to a survey, high school girls average 100 text messages daily. assume the population standard deviation is 20 text messages. suppose a random sample of 50 high school girls is taken.
The probability that the sample mean is greater than 105 is 0.0384.
What is meant by random sample?A simple random sample is a subset of persons chosen at random from a bigger collection. It is the process of randomly selecting a sample.
A simple random sample is a population subset chosen at random. Each member of the population has a precisely equal probability of being selected in this sampling approach, reducing the likelihood of selection bias.
Random sampling ensures that the results received from your sample are close to what would have been achieved if the full population had been measured.
The population mean is μ =100.
The population standard deviation is σ= 20.
n=50 is the sample size
Let [tex]\bar{x}[/tex] be the mean of the sample
The chance that the sample mean is greater than 105 is then given by :
P( [tex]\bar{x}[/tex]>105)=1-P( [tex]\bar{x}[/tex]≤105)
=1-P(( [tex]\bar{x}[/tex]-μ)/(σ/√n) ≤ (105-100)/(20/√50))
=1-P(z≤1.77)
=1-0.96164
=0.03836≈0.0384
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The complete question is:
"According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. a. What is the probability that the sample mean is more than 105? (Round answer to 4 decimal places.)"
A state politician is interested in knowing how voters in rural areas and cities differ in their opinions about gun control. For his study, 92 rural voters were surveyed, and 57 were found to support gun control. Also included in the study were 92 voters from cities, and 36 of these voters were found to support gun control. Let Population 1 be the voters in rural areas and Population 2 be the voters from cities.
Step 1 of 2 : Construct a 90% confidence interval for the true difference between the proportions of rural and city voters who favor gun control. Round the endpoints of the interval to three decimal places, if necessary.
The 90% confidence interval for the true difference between the proportions of rural and city voters who favor gun control is of:
(0.11, 0.346).
What are the mean and the standard error for the distribution of differences?For each sample, the proportion and the standard error are given as follows:
Rural voters: [tex]p_1 = \frac{57}{92} = 0.6196, s_1 = \sqrt{\frac{0.6196(0.3804)}{92}} = 0.0506[/tex]Urban voters: [tex]p_2 = \frac{36}{92} = 0.3913, s_1 = \sqrt{\frac{0.6196(0.3804)}{92}} = 0.0509[/tex]Hence the mean and the standard error for the distribution of differences is given by:
[tex]p = p_1 - p_2 = 0.6196 - 0.3913 = 0.2283[/tex][tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0506^2 + 0.0509^2} = 0.0718[/tex]What is the confidence interval?The bounds of the confidence interval are given by the rule defined as follows:
p ± zs
The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
Then the bounds of the interval are obtained as follows:
Lower bound: 0.2283 - 1.645 x 0.0718 = 0.11.Upper bound: 0.2283 + 1.645 x 0.0718 = 0.346.More can be learned about the z-distribution at https://brainly.com/question/25890103
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a²+b²=c² to find the
base of the right triangle.
1600 ft
500 ft
Answer:
b=1519.87? (If not correct please clarify what sides the 1600 and 500 ft are on. In my answer the 1600 ft was the hypotenuse since it was the longest of the two and it said to find the base of the triangle. This means the 500 ft is the side adjacent to 90 degrees and 1600 ft is the hypotenuse. Sorry if it's not clear!)
Step-by-step explanation:
[tex]500^{2} +b^2=1600^2\\250000+b^2=2560000\\b^2=2560000-250000\\b^2=2310000\\\sqrt{b^2}=\sqrt{2310000}\\ b=1519.87[/tex]
Answer:
side 2 ([tex]b^{2}[/tex]) = 1519.87
OR
hypotenuse ([tex]c^{2}[/tex])= 1676.31
Explanation:
If 1600 ft = hypotenuse and 500 ft = side
[tex]1600^{2}[/tex] = [tex]500^{2}[/tex] + [tex]b^{2}[/tex]
2560000 = 250000 + [tex]b^{2}[/tex]
2560000 - 250000 = [tex]b^{2}[/tex]
2310000 = [tex]b^{2}[/tex]
[tex]\sqrt{2310000}[/tex] = [tex]\sqrt{b^{2} }[/tex]
[tex]b[/tex] = 1519.87
side 2 = 1519.87
OR
If 1600 ft = side 1 and 500 ft = side 2
[tex]1600^{2}[/tex] + [tex]500^{2}[/tex] = [tex]c^{2}[/tex]
2560000 + 250000 = [tex]c^{2}[/tex]
2810000 = [tex]c^{2}[/tex]
[tex]\sqrt{2810000}[/tex] = [tex]\sqrt{c^{2} }[/tex]
[tex]c[/tex] = 1676.31
hypotenuse = 1676.31
Given the relation (9,2)(4,5)(7,3)(10,-5)Which ordered pair (a,b)Would result in a relation? That is not a function.
(10,2)
( 4,5)
( 6,7)
(7,1)
None of the above.
Given the relation (9,2)(4,5)(7,3)(10,-5), an ordered pair which would result in a relation that is not a function is: (10, 2).
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
Based on the ordered pairs shown above, we can reasonably infer and logically deduce that (10, 2) is an ordered pair which does not represent a function because the value of "a" has already been mapped to -5.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE HELP THIS IS DUE IN 20 MINUTES IM STUCK
Answer:
x=5
Step-by-step explanation:
Because we know the sum of the interior angles should be 180, we can use this to create an equation to solve for x.
60+(7x+3)+(180-20x)=180
Simplify to find that x = 5
If you're confused about where the 180-20x comes from:
The line it lays on is straight, meaning the angle it creates is 180 degrees.
Thus, 180 - known angle = unknown angle.
Answer:
the answer is c, x=5
Step-by-step explanation:
now, if we look at the pic, there is already one angle given.
and we know that sum interior angles of a triangle must be 180;
so the sum of the other two angles is: angle 2 +angle 3=180-60.
now, let's pick any number and put it into x.
first, if we put 15 into x: 7(15)+5=120,
so 180-(120+60)=0. and for there is another angle, it is invalid.
if we put 6: 7(6)+5=47,
180-(60+47)=73.
let's look at the third angle.
for x=6, the angle UBI is 120°. and we also know that the sum of angles on a horizontal line is always 180°, so 180-120=60, and for the third angle is NOT 73°, this one is also invalid.
if x=5: 7(5)+5=40, 180-(60+40)=80.
the angle UBI= 100°, 180-100=80°;
for 80°+60°+40° equals 180°, the answer c is correct.
help PLEASEEEEEE WILL GIVE BRAINLYEST FOR CORRECT ANSWER AND IF YOU REMIND ME
Answer:
Step-by-step explanation:
v = 1/3 (area of base) (height)
v = 1/3 (1/2*6*8) (7)
v = 1/3 (24) (7)
v = 8 (7)
v = 56 square inches
Write one-hundred-two-and-eighty-one-hundredths in standard form.
Is it 102,8100? If not, tell me. I'll fix it!
a ferris wheel has a radius of 24 feet and travels 5.6 feet every second. at what constant angular speed does the ferris wheel rotate at (in radians per second)?
The angular speed is 0.233 radian per second.
What is angular speed?
Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows: ω = θ t where θ is the angular displacement, t is the time and ω is the angular speed.
given radius = 24 feet
distance covered = 5.6
First we will find the circumference
= 2πr
=48π
Time = 48π/5.6 = 26.91
Angular speed = 2π/TIME
=2π/26.91
= 0.233
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(4n+3)+(3x+9) simplified
Tim's phone service charges $23.79 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $27.54, which equation could be used to find how many text messages, x, Tim sent last month?
Answer: Tim sent 25 text messages
Step-by-step explanation:
y=mx+c is being used
Since it increases by 0.15 each time so m=0.15 and the starting charge is 23.79 so c=23.79. We also know that his phone bill is 27.54 so y=27.54
Now this can be used to solve x
27.54 = 0.15x + 23.79
3.75 = 0.15x
25=x
3x - 5y = 15
x-intercept =
y-intercept =
Answer:
x-intercept is 5
y-intercept is -3
Step-by-step explanation:
For the x-intercept:
[tex]3x - 5(0) = 15[/tex]
[tex]3x = 15[/tex]
[tex]x = 5[/tex]
For the y-intercept:
[tex]3(0) - 5y = 15[/tex]
[tex] - 5y = 15[/tex]
[tex]y = - 3[/tex]
Answer:
Y intercept= -3
x-intercept = 5
Step-by-step explanation:
So you would want to get your y alone for it to be in slome intercept form (y=mx+b) so you would:
1. Subtract 3x from both sides to get -5y= -3x+15
2. then you would divide each side by -5 to get y= [tex]\frac{3}{5}[/tex] x -3
And since in slope intercept form, b= the y-intercept, The y-intercept =-3 and to find the x-intercept you would have to solve for y=0 in your new-found equation.
sorry if this was long
Which of these statements best describes the relationship between 7×(18-5) and 18-5
Answer:
I need your statements please
Step-by-step explanation:
What is the equation of the line that passes through (1, 4) and (2, 1)
y = -3x + 1
y = -3x + 4
y=-3x - 7
y=-3x + 7
Please help me, as this is due tomorrow
The value of a and b based on the given table when the number of pairs of tiles is 2 is given by 30 cm and 40 cm respectively.
What is the value of the unknown from the table?Width of each tile = 10 cm wideWhen,
number of pairs of tiles is 1
Width of each tile = 20 cm
Length of each tile = 30 cm
number of pairs of tiles is 3
Width of each tile = 40 cm
Length of each tile = 50 cm
number of pairs of tiles is 2
Width of each tile, a = 20 cm + width of each tile
= 20 cm + 10 cm
= 30 cm
a = 30 cm
Length of each tile, b = 30 cm + width of each tile
= 30 cm.+ 10 cm
= 40 cm
b = 40 cm
In conclusion, the value of a and b from the above diagram is 30 cm and 40 cm respectively.
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The population of ants in the colony can be represented by the function
f(t) = 1400(1.07), where t is the number of months the colony has been
measured.
What is the growth rate??
Answer:
The growth rate is 1.07%
Step-by-step explanation:
y=ab(to the power of x)
b is the growth/decay rate
b is 1.07% here
Answer:
7%
Step-by-step explanation:
The population of ants in the colony can be represented by the function f(t) = 1400(1.07)
Function = 1400( 1 + 7%)
= 1400(1 + 0.07)
= 1400(1.07)
Growth rate = 7%
if its 8:00 am on november 22 what time was it 22 hours ago
Answer:
10AM on November 21.
Step-by-step explanation:
START FROM THE END OF THE LIST BELOW, STARTING FROM 8AM (ANNE MERIDIAN), NOVEMBER 2[tex]2^{nd}[/tex].12am: - 32: November 21.
1am: - 31: November 21.
2am: - 30: November 21.
3am: - 29: November 21.
4am: - 28: November 21.
5am: - 27: November 21
6am: - 26: November 21.
7am: -25: November 21.
8am: -24: November 21.
9am: -23: November 21.
10am: -22 hours (22 hours ago): November 21 - ANSWER IS 10 AM.
11am: - 21: November 21.
12pm: - 20: November 21.
1pm: - 19: November 21.
2pm: - 18: November 21.
3pm: - 17: November 21.
4pm: - 16: November 21.
5pm: - 15: November 21.
6pm: -14: November 21.
7pm: -13: November 21.
8pm: -12: November 21.
9pm:-11: November 21.
10pm: -10: November 21.
11pm: - 9: November 21.
12am: - 8: November 22.
1am: -7: November 22.
2am: -6: November 22.
3am: -5: November 22.
4am: -4: November 22.
5am: -3: November 22.
6am: -2: November 22.
7am: -1: November 22.
8am: CURRENT TIME (RIGHT NOW): November 22 - START FROM HERE.
50 divided by 6 with a remandier
Answer: 8.3
Step-by-step explanation:
50/6= 8.3
Please help me! I appreciate itt
Answer: The correct answer is on Day 39 they both have the same amount (38) of naxvips
Step-by-step explanation:
First, determine the rate of change for each using the formula (end-start/days):
Min-jun:
start=36
end=41
days (constant)=15
Rate=41-36/15=5/15 = 1/3 (increment/day)
Tran:
start=56
end=11
days (constant)=15
Rate=11-56/15=-45/15 = -3 (decrement/day)
Build the table using the rate of change for every 3 days:
DAY MJ ROC TRAN ROC
33 36 0 56 0 <---Start date
36 37 +1 47 -9
39 38 +1 38 -9 <-----SAME!
42 39 +1 29 -9
45 40 +1 20 -9
48 41 +1 11 -9
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|2x + 4| ≥ 5 i need help please!!! (Please put in your work need that as well)
The value of the given inequality mode function |2x + 4| ≥ 5 will be x ≥ 1/2 and x ≤ -4.5.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given mode function,
|2x + 4| ≥ 5
For 2x + 4 > 0 or x > -2
2x + 4 ≥ 5
2x ≥ 1
x ≥ 1/2
For 2x + 4 < 0 or x < -2
-(2x + 4) ≥ 5
2x + 4 ≤ -5
2x ≤ -9
x ≤ -9/2
x ≤ -4.5
Hence "The value of the given inequality mode function |2x + 4| ≥ 5 will be x ≥ 1/2 and x ≤ -4.5".
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Given W(2, -3) X(-4, 9) Y(5, y) and Z(-1, 1) find the value of y so that WX ¯¯¯¯¯¯¯¯¯¯¯⊥ YZ¯¯¯¯¯¯¯
The value of y so that WX ⊥ YZ is y = 4 .
In the question ,
it is given that
the line WX is perpendicular to line YZ
and the end points of WX is W(2,-3) and X(-4,9)
and the end points of YZ is Y(5,y) and Z(-1,1) .
let the slope of line WX = m₁
and slope of line YZ = m₂ .
we know that when two lines are perpendicular , then
m₁ * m₂ = -1
m₁ = (9-(-3))/(-4-2)
and m₂ = (1-y)/(-1-5)
Substituting the values of m₁ and m₂ in the equation m₁ * m₂ = -1 ,
we get
(9-(-3))/(-4-2) * (1-y)/(-1-5) = -1
(9+3)/(-6) * (1-y)/(-6) = -1
12/(-6) * (1-y)/(-6) = -1
-2* (1-y) = 6
-2 + 2y = 6
2y = 6+2
2y = 8
y = 4
Therefore , the value of y is = 4 .
The given question is incomplete , the compete question is
Given W(2, -3) X(-4, 9) Y(5, y) and Z(-1, 1) . find the value of y so that WX ⊥ YZ ?
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Six whole numbers have a median of 10 a mode of 11 a range of 4 work out a possible set of six numbers. Write the numbers in order.
The numbers in order are 7, 8, 9, 11, 11, and 11.
Mode:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all
Here we have to arrange the number in order.
Range:
The difference between the lowest and highest values.
Pu the six numbers in order from small to large.
7,8,9,11,11,11
So the median of the number is = (9 + 11) /2
= 10
The mode of these numbers is = 11
As 11 is three times in the series.
The range of the numbers is = 11-7 =4
Therefore the order is 7, 8, 9, 11, 11, 11.
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the decimal representation of 30 kilogram and 43 gram is equal to_____kilogram
Answer:
3043kg
Step-by-step explanation:
30kg
43g
is this right
Leaping deer company purchased a tractor at a cost of $440,000. The tractor has an estimated residual value of $40,000 and an estimated life of 8 years, or 12,000 hours of operation. The tractor was purchased on january 1, 2015 and was used 2,400 hours in 2015 and 2,200 hours in 2016. What amount will leaping deer company report as total depreciation expense over the 8-year life of the equipment using straight-line depreciation?.
Leaping deer company purchased a tractor at a cost of $440,000. The tractor has an estimated residual value of $40,000 and an estimated life of 8 years, or 12,000 hours of operation. The tractor was purchased on January 1, 2015 and was used 2,400 hours in 2015 and 2,200 hours in 2016.
To find out which method of depreciation will produce maximum depreciation, Depreciation expense for 2018 shall be calculated using all methods.
1) Double-declining balance method: Under this method, depreciation is charged to an accelerated rate to the asset by applying double depreciation instead of a regular depreciation rate. This rate is applied to the value of the depreciable assets.
Depreciable Value of Tractor = Gross Value - Salvage Value = $240,000 - $40,000 = $200,000
The regular rate of depreciation = 100% / Life of Tractor = 100% / 8 Years = 12.5%
Double-declining rate of depreciation = Regular rate X 2 = 12.5 % X 2 = 25%
Depreciation expense for 2018 = Depreciable value of tractor X Dobule-decling rate
= $200,000 X 25%
= $50,000
Depreciation expense as per double-declining method = $50,000
2) Straight-line method: Under this method, the value of the depreciable asset is spread over the useful life of the asset evenly.
Depreciation for 2018 = Useful life of Tractor / Useful life
= $200,000 / 8 Years
= $25,000
Depreciation expense as per straight line method = $25,000
3) Units of production method: Under this method, the depreciable value of assets is depreciated with the level of usage with respect to the overall capacity of assets with respect to usage. Hence, more usage shall lead to higher depreciation.
Total hours available during the life of asset = 12,000
Depreciation to be charged for each hour of usage = Depreciable value / Total hours
= $200,000 / 12,000 Hours
= $16.67 per hour
Depreciation for 2018 = Total hours of usage in 2018 X Depreciation per hour
= 3,800 Hours X $16.67
= $63,346
Depreciation under units of production method = $63,346.
Hence, Highest amount of depreciation is produced under units of production method as tractor has been used for more than one-third of its usage hour capacity. As the other two methods do not take into account the level of usage, their depreciation is just based on time. Hence, Depreciation under the unit production method is highest.
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Please Help!
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
4.54 units
5.00 units
5.83 units
34.00 units
Answer: 23456789ol.09876
Step-by-step explanation:
Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, the coefficient and the variable.
The story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.
The equation is given in the question:
y = 5x+3
To satisfy this equation, we would construct a story problem:
Robbin goes to buy a chair the last week. Now, the cost of the table is x but the seller says that the cost of the chair he wants to buy is 3 more than 5 times the cost of the table.
Hence, the story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.
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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mattie’s house.
The shortest distance between Caroline's and Mattie's house is 10 blocks.
If we assume this as a right angle triangle then height (BA) is 6 blocks long and base (BC) is 8 blocks
long.
Then, the shortest distance between Caroline's and Mattie's house will be the hypotenuse (AC) of this
triangle.
So, by applying Pythagoras theorem:
[tex](AC)^{2} = (BA)^{2} = (BC)^{2} = (6)^{2}+(8)^{2}[/tex] = 36+64 = 100
Thus, AC = [tex]\sqrt{100}[/tex] = 10 blocks.
Hence, the shortest distance we can take from Caroline's house to reach Mattie's house is 10 blocks.
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y=-4(x+5)^2-3 in standard form
Answer:
y = -4x^2 - 40x - 103
Step-by-step explanation:
to get the standard form, you have to formulate the equation as
y = ax^2 + bx + c
we have to expand the (x+5)^2
y = -4((x+5)^2) - 3 = -4(x^2 + 10x + 25) - 3 = -4x^2 - 40x - 100 - 3 = -4x^2 - 40x - 103
Jane has a checking account. The balance at the beginning of December was $8,421.89. During the month she made deposits totally $3,721.33, wrote checks totaling $2,794.43, paid a maintenance fee of $14, and earned
$13.45 in interest on the account. What was the balance at the end of the month?
The balance of jane at the end of the month is $9,348.24
Why not explain interest?
The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as an annual percentage of the loan amount. The interest rate on the loan is this proportion.
At the beginning of the December balance was $8,421.89
She deposited totally $3,721.33
So the balance now is $12,143.22
Now she wrote checks of totaling amount $2,794.43
So now her balance is $9,348.79
Now she paid maintenance fee of $14
So now her balance is $ 9,334.79
Now she earned $13.45 in interest on the account
So now her balance is $9,348.24
Hence, The balance of jane at the end of the month is $9,348.24
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