Answer:
\(21a^4+4a^2+2a\)
Step-by-step explanation:
i think this is right..lol
hope it helps :)
have a nice day!!
how is random error different from systematic error? provide an example that illustrates this difference.
Systematic errors are consistently in the same direction
In contrast , random errors produce different values in random directions
Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.
Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable
An example that illustrates this difference are
Systematic errors are consistently in the same direction
for example they are always 50g , 1% or 99 mm too large or too small
In contrast , random errors produce different values in random directions
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What is 1323/12 in simplified form
Answer:
441/4
Step-by-step explanation:
Find the GCD of numerator and denominator
GCD of 1323 and 12 is 3
Divide both the numerator and denominator by the GCD
1323 ÷ 3
12 ÷ 3
Reduced fraction:
441/4
________
Hope this helps!
-Lexi
Which equation has the same solution as
x2+4x-13=-7
Answer:
6x - 3 + 4x = 13
10x - 3 = 13
10x = 16
x = 1.6
Any equation whose solution is x=1.6 has the same solution as this one has.
Step-by-step explanation:
Ryan and Mary are both travelling by train.
Ryan's train travels 80 km in 50 minutes.
Mary's train travels 270 km.
It leaves at 13:10 and arrives at 15:25.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
average speed is distance/time
1. 80km/50 minutes (0.833 hour)= 96km/hour
2. 270km/(time between 13:10 and 15:25 (2hr 15mins)) = 120km/hr
3. difference is 120km/hr - 96km/hr = 24km/hr faster
The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?
Oy= 4x - 3
y=-4x + 3
Oy=-4x - 3
Answer:
y=-4x-3
Step-by-step explanation:
y=mx+b
y=b=-3 ( y intercept is when x=0, then y=b=-3)
y=-4x-3
When you submit this form, the owner will see your name and email address.
1
Problem 1.
The force system shown is to be replaced with an equivalent system consisting of a horizontal force applied at b and a vertical force applied to the horizontal leg.
1.1. What is the magnitude of the vertical force, in Newton, applied to the horizontal leg? (rounded-off to the nearest whole number; do not write the unit)
The magnitude of the vertical force applied to the horizontal leg in the equivalent force system.
To determine the magnitude of the vertical force applied to the horizontal leg, we need to find the vertical component of the given force system. Looking at the diagram, we observe that the force system consists of a vertical force at point A and a horizontal force at point B. We can use trigonometry to find the vertical component of the force at point A.
Let's denote the magnitude of the force at point A as F_A and the angle it makes with the horizontal leg as θ. The vertical component of the force can be calculated using the formula: Vertical component = F_A * sin(θ).
Since the vertical component of the force should be equal to the force we are trying to find, we can set up the equation: Vertical component = F_vertical.
Now, we can substitute the given values into the equation and solve for F_vertical. Once we have the value, we can round it off to the nearest whole number, as instructed.
Please note that without specific values or angles provided in the problem statement or accompanying diagram, it is not possible to provide a precise numerical answer.
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Kenny had a total of 140 minutes to read, do homework, and play video games he spent x minutes reading, he spent 2(x+5) minutes doing homework, he spent 25 minutes playing video games how many minutes did Kenny spend reading
Answer:
He spent 52.5 minutes reading.
Step-by-step explanation:
The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5
Twelve more than half of a number is equal to the number
3x-2(x+3)=4x-9-x is the question
Answer:
\(\large\boxed{x = 7}\)
Step-by-step explanation:
3x - 2(x + 3) = 4x - 9 - x
Start by multiplying 2 by the values in the parenthesis
3x - 2x + 6 = 4x - 9 - x
Subtract 3x - 2x and 4x - x
x + 5 = 3x - 9
Add 9 to both sides of the equation
x + 14 = 3x
Subtract x from both sides of the equation
14 = 2x
Divide both sides of the equation by 2
\(\large\boxed{x = 7}\)
Hope this helps :)
a) Work out
Give
(5 x 10^3) * (9 x 10^7)
your answer in standard form.
\(\huge\text{Hey there!}\)
\(\mathsf{(5\times10^3) \times (9\times10^7)}\)
\(\mathsf{= (5\times 10\times 10\times 10)\times (9\times 10\times10\times10\times 10\times10\times10\times 10)}\)
\(\mathsf{= (5\times 100\times 10) \times (9\times 100\times 100\times 100 \times 10)}\)\(\mathsf{= (5\times 1,000) \times {(9\times 10,000\times 1,000)}}\)
\(\mathsf{= (5,000)\times(90,000\times1,000)}\)
\(\mathsf{= (5,000)\times (90,000,000)}}\)
\(\mathsf{= 5,000\times 90,000,000}}\)
\(\mathsf{= 450,000,000,000}\)
\(\mathsf{= 4.5\times10^{11}}\)
\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{4.5\times 10^{11}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
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Complete the sentence.
4ft= ____ in.
4ft = 48in or 4 feet is equivalent to 48 inches.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between units of length: feet and inches.
From there, we can say that we are asked how many inches are there in 4 feet
Converting feet to inches, we must use the conversion
1 foot = 12 inches
4ft = 4 (12 inches)
4ft = 48in
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Evaluate the expression 4 x (9 ÷ 3) + 6 − 2 using PEMDAS. (1 point)
27
24
16
11
If 50 is 20% of a value, what is that value?
Divide 50 by 20%
50/20% = 50/0.20 = 250
Answer: 250
The table below lists the number of games played in a yearly best-of-seven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
Games_Played Actual_contests Expected_proportion
4 16 0.125
5 21 0.25
6 21 0.3125
7 38 0.3125
determine the null hypotheses
what is the t statistics
what is the p value
what is the conclusion for the test statistic
The null hypothesis is that the actual numbers of games fit the distribution indicated by the expected proportions.
The following is the calculation of the t-statistics for the given data.
\(T=\frac{(O_i-E_i)} {\sqrt{E_i}} \)where \(O_i\) represents the observed frequency, and \(E_i\) represents the expected frequency.t statistics for
4: \(\frac {(16-25)} {\sqrt {25(0.125)}} \) = -3.2t statistics for
5: \(\frac {(21-25)} {\sqrt {25(0.25)}} \) = -1.8t statistics for
6: \(\frac {(21-31)} {\sqrt {25(0.3125)}} \) = -3.2t statistics for
7: \(\frac {(38-31)} {\sqrt {25(0.3125)}} \) = 3.2
The critical value of t at the 0.05 level of significance is ± 2.132. Since the t-statistics of 3.2 > 2.132, we reject the null hypothesis. So, there is a significant difference between the actual number of games played and the expected number of games played in the baseball championship series at the 0.05 significance level. p-value = P (|t| > 3.2) = 0.002
The conclusion for the test statistic: Since the p-value (0.002) is less than the level of significance (0.05), we reject the null hypothesis and conclude that there is a significant difference between the actual numbers of games played and the distribution indicated by the expected proportions.
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Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
What is the degree of the polynomial 4x4 + 3x3 - 6x2 + 7x + 4?
1
Answer:
4
Step-by-step explanation:
The degree is equal to the highest power of the polynomial.
You invest $20,000 in the stock market. The stock market then plummets
over the next few weeks. Each day, your investment loses half of its value. How
much will you have invested after 14 days? Write the geometric sequence
formula and show all of your work.
After 14 days, you will have approximately $2.4414 invested in the stock market.
The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:
an = a1 x \(r^{(n-1)\)
Where:
an is the nth term,
a1 is the first term,
r is the common ratio, and
n is the number of terms.
In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.
Substituting the given values into the formula, we have:
a14 = 20000 x\((1/2)^{(14-1)\)
a14 = 20000 x \((1/2)^{13\)
a14 = 20000 x (1/8192)
a14 ≈ 2.4414
Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.
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The amount you will have invested after 14 days is given as follows:
$2.44.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term of the sequence.
The parameters for this problem are given as follows:
\(a_1 = 20000, q = 0.5\)
Hence the amount after 14 days is given as follows:
\(a_{14} = 20000(0.5)^{13}\)
\(a_{14} = 2.44\)
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60 POINTS! (Reported if incomplete/absent)
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:
Convert yards to feet (Remember that :
To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:
Where r is the radius.
In this case, the radius is:
Substituting, you get:
To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:
Therefore, the neighbor that has the most amount of fence to put up is: Neighbor A.
The neighbor that has the least amount of fence to put up is: Neighbor C.
hope this helps btw i just copy and pasted this so its not my work
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
The number has 2022 digits 7 when divided by 15, what is the decimal part of the quotient?
Answer:
7 is divided by 15 =0•4666666667
Milo wants to make guacamole for a party. Avocados are on sale for 89 cents each.
How many avocados can Milo buy
he has $3.74?
Answer:
4 avocados
Step-by-step explanation:
$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4
Is this proportional? Explain why.
X=
HOURS
Y=
COST
1
3
Ordered pair
(x,y)
(1,3)
(2,6)
(4,12)
(5,15)
2
6
4
12
5
15
Answer:
yes
Step-by-step explanation:
The graph will be proportional if y/x is equal to a constant
3/1 =3
6/2 = 3
12/4 = 3
15/5=3
Since they are all equal to the same constant
The equation for the line is of the form
y = kx or y = 3x
This is proportional
Answer:
Yes
Step-by-step explanation:
It's because it's all multiplied by 3. y=3x
Please help me solve this, random answers will be removed.
Answer:
See below
Step-by-step explanation:
Here is one way .... I showed you how to use Law of cosines in another Q
use this to find CB
CB^2 = 13^2 + 21^2 - 2(13)(21) cos 91 <==== solve for CB
THEN use law of SINES to find angle B
sin B / 21 = sin 91 / CB (CB you found using law of cosines above)
Answer:
m∠B = 57.5°
Explanation:
Use cosine rule:
a² = b² + c² - 2bc cos(A)
inserting values
a² = 21² + 13² - 2(21)(13) cos(91)
a² = 619.529
a = √619.529
a = CB = 24.89 km
Then use sine rule:
sin(A)/a = sin(B)/b
sin(91)/24.89 = sin(B)/21
sin(B) = 21sin(91)/24.89
sin(B) = 0.843583...
B = sin⁻¹(0.843583) = 57.52° ≈ 57.5°
LESSON 18 SESSION 4
7 Tell whether each statement is True or False.
a. 80% of 90 is the same as of 90.
b. 45% of 60 is 27.
c. 20% of 90 is the same as
as
d. 25 is 35% of 80.
of 90.
of
True False
о
O
о
O
L
a. 80% of 90 is the same as of 90 - False
b. 45% of 60 is 27 - True
c. 20% of 90 is the same as as of 90- True
d. 25 is 35% of 80 -False
What are the statement about?a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.
b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.
c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.
Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.
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1/3x+y=4 solve the equation for y.
Answer:
y=4-x/3
Step-by-step explanation:
(1/3)x + y = 4
Subtract (1/3)x from both sides of the equation
(1/3)x - (1/3)x + y = 4 - (1/3)x
y = 4 - (1/3)x
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
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This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside.
1) The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of the b in the first response box.
2) Enter the approximate slope of the estimated line of best fit in the second response box.
Answer:
Below.
Step-by-step explanation:
1) 245.
2) Approximate slope = -(245-200)/15 = -3.
The y intercept is 250 and the slope is -10/3.
What is equation of a line?The equation of a line is linear in two variables, usually x and y, that is satisfied by points of the line.
We have the following ordered pairs in the line given:
(0, 250) and (30, 150)
Calculating the slope:
m = 150 - 250/ 30 - 0
m = -100/30
m = -10/3
Therefore, the slope is -10/3
Finding the y-intercept:
The equation of a line has the form:
y = mx + b, where m is the slope
Replacing by the values we know:
150 = -10/3 * 30 + b
b = 150 + 100
b = 250
Therefore, the y intercept is 250.
Hence the y intercept is 250 and the slope is -10/3.
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Help me please i need it for a grade in my math class so i dont fail
Answer: Yes.
Step-by-step explanation:
HELP PLEASE
in order!!!
Answer:
m<6=54 m<4=126
Step-by-step explanation:
A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms triples every hour. Which equation can be used to find the number of hours, h, it will take for the population to reach 6,561 algae blooms?.
The exponential growth of the algae will take 30.57 hours to reach a population of 6561 algae
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). In mathematics, an exponential function is a function of form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form.
rate = triples every hour.final population = 6561 algaetime = ?A = P(1 + r)^t
6561 = 1(1 + 0.333)^t
t = 30.57
It will take 30.57 hours for the population to reach 6561 algae.
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can someone solve this?
Answer:
D
Step-by-step explanation: