Rewrite in simplest terms: 5(-4p-8p+3)-7p
Answer:
-67p + 15
Step-by-step explanation:
Hello!
Expand the parenthesis and simplify by combining like terms.
Simplify5(-4p-8p+3)-7p-20p - 40p + 15 - 7p-67p + 15The simplified form is -67p + 15.
Eliminate the parameter for the following set of parametric equations: x= t + 6 y= 3t – 1
Answer:
Solution : Option A
Step-by-step explanation:
What we want to do here is eliminate the parameter t. In order to do that, we can isolate t in our first equation x = t + 6 ----- ( 1 ) and then plug that value for t in the second equation y = 3t - 1. Our solution will be an equation that is not present with t.
( 1 ) x = t + 6, t = x - 6
( 2 ) y = 3( x - 6 ) - 1 ( Distribute the " 3 " in 3( x - 6 ) )
y = 3x - 18 - 1 ( Combine like terms )
y = 3x - 19
As you can see our result will be option a, y = 3x - 19.
4. To make te cups of hot chocolate, 4 tablespoons of cocoa mix
must be used. If a snack bar wants to make 36 cups of hot chocolate,
how much mix will they need?
Answer:
144
Step-by-step explanation:
You will multiply 4 tablespoons by the number of cups, that is how you get your answer. ; )
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
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A small artichoke contains about 9 milligrams of vitamin C. It also contains about 15% of the recommended amount of vitamin C an average adult should get each day. About how many artichokes would an average adult have to eat in a day to get the necessary amount of vitamin C.
Answer:
7 Artichokes
Step-by-step explanation:
To figure this out, we need to find out how much Vitamin C an average adult needs. We set up a proportion.
\(\frac{9}{15} = \frac{x}{100}\)
\(15x=900\)
\(x=60\)
Now, since each artichoke is worth 9 milligrams, we divide 60 by 9.
\(60/9=6.66666...\)
So, to get the necessary amount of Vitamin C, we round up to 7.
If $500 were deposited into an account paying 5% interest, compound monthly, how much would be in the account in 4 years?
Please show me proper work and a good explanation on how you got said answer.
Answer:
610.48
Step-by-step explanation:
The formula for compound interest is
A = P(1+r/n) ^nt where
A is the amount in the account
P is the principle
r is the interest rate
n is the number of times the interest is compounded per year
t is the time in years
A = 500(1+.05/12) ^12*4
A = 500(1+.0041666666) ^48
A = 500(1.0041666666) ^48
A = 500*1.220895355
A =610.4476775
Rounding to the nearest cent
A = 610.48
What single decimal multiplier would you use to increase by 10% followed by a 16% decrease?
The single decimal multiplier is 0.924.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
To find the single decimal multiplier:
First, increase by 10%.
100 + 10% = 110%
And number multiplier is 1.10.
Then, a followed by a 16% decrease.
That means,
100-16 = 84%
So, number multiplier is,
(1.10)(0.84) = 0.924
Therefore, the single decimal multiplier is 0.924.
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if you had 341 milliliters of milk, how many liters is this equal to?
In using quarterly time series data, which quarter can serve as the base period for interpretation of dummy variables?
A. Any of the above.
B. Quarter two
C. Quarter one
D. Quarter four
E. Quarter three
In using quarterly time series data, Quarter two can serve as the base period for interpretation of dummy variables.
What do you mean by interpretation?
The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.
Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.
What are examples and variables?
A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.
The two primary categories of variables are categorical and numeric.
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7 5/6 - 1 1/6 - 2 2/3 =
Answer:
4
Step-by-step explanation:
That's the answe!!
Answer:
4
Step-by-step explanation:
7 5/6 - 1 1/6 - 2 2/3 =
= 7 5/6 - 1 1/6 - 2 4/6
= (7 + 5/6) - (1 + 1/6) - (2 + 4/6)
= 7 + 5/6 - 1 - 1/6 - 2 - 4/6
= (7 - 1 - 2) + (5/6 - 1/6 - 4/6)
= 4 + 0/6
= 4
one side of a rectangle is 12 feet shorter than seven times another side. find the length of the shorter side if we also know that the perimeter of the rectangle is 168 feet.
As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.
The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.
Let's call the length of the shorter side "x".
The other side is seven times as long, so it is 7x.
The perimeter of the rectangle is 168 feet, so we have
=> 2x + 14x = 168.
Simplifying the equation, we have
=> 16x = 168.
Dividing both sides of the equation by 16, we find
=> x = 10.5.
So, the length of the shorter side is 10.5 feet and the length of the longer side is
=> 7x = 7 * 10.5 = 73.5 feet.
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can you please help me
3. To find the perimeter of a rectangle, use the equation , where P is the perimeter, l is the length and w is the width of the rectangle.
(a) A rectangular garden has a perimeter of 40 yd and a width of 5 yd. Use the equation and the replacement set to find the length of the garden. Show your work.
(b) A rectangular table top has a perimeter of 18.4 ft and a length of 6.75 ft. Use the equation and the replacement set to find the width of the table top. Show your work.
Answer:
a) 15yd
b)2.45ft
Step-by-step explanation:
P = perimeter, l=length and w = width of the rectangle
P = 2l+2w
a) 40 = 2l+2(5)
40 = 2l+10
30=2l
15=l
b) 18.4 = 2(6.75) + 2w
18.4 = 13.5+2w
4.9=2w
2.45=w
What does the circled portion represent in the confidence interval formula?
p±z.
O Sample proportion
O Margin of error
p(1-p)
n
Confidence interval
O Sample Size
The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.
In the confidence interval formula p ± z, the circled portion represents the Margin of Error.
The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.
It indicates the range within which the true population parameter is likely to fall based on the sample data.
The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.
The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.
The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.
It reflects the trade-off between the desired level of confidence and the width of the interval.
A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.
Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.
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In 2004, a school population was 2122. By 2009 the population had grown to 2647.
1) How much did the population grow between the year 2004 and 2009?
The population grow by 24.7% between the years 2004 and 2009
Calculating how much the population grow between the yearsfrom the question, we have the following parameters that can be used in our computation:
Population in 2004 = 2122
Population in 2009 = 2647
The growth of the population between the years is calculated as
Percentage = Population in 2009/Population in 2004 - 1
Substitute the known values in the above equation, so, we have the following representation
Percentage = 2647/2122 - 1
Evaluate
Percentage = 24.7%
Hence, the population grow between the years by 24.7%
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You and your friends bought some movie tickets. Each movie ticket cost $6.32 per person. You also spent $14.00 on popcorn. If you and your friends spent a total of $45.60, how many total tickets were purchased?
Answer:
Step-by-step explanation:
10
What is the meaning of the base of the function y= log(x)?
A. As y increases by 1, x increases by 10.
B. As y increases by 1, x increases by a factor of 10.
C. As y decreases by 1, x increases by a factor of 10.
D. As y decreases by 1, x increases by 10.
What is the difference in the results if you calculate
(−7)² versus −7² . Why does the parentheses give us a
different result?
Answer:
Order of Operations.
Step-by-step explanation:
If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:
(-7)²= 49.
However, when squaring without the parenthesis, it will give us a negative number because:
The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:
-7² = -49
However, within parenthesis, everything inside will be squared.
Solve each word problem. Show your work. 1) The bill at a restaurant for you and your family came to $40. You want to leave a 15% tip. What is the total cost of the meal? Step 1: Convert the percent to a decimal. Step 2: Find the amount of tip in dollar. Tip = Bill total ~ percent Step 3: Total cost = Bill total + tip
Answer:
$46 total cost
Step-by-step explanation:
$40 • 15% (.15) = $6 tip
$40 + $6 = $46
Total cost= $46
BD bisects ABC.
Find mZABD, mZCBD, and m ZABC.
A
(3x + 6°
D
B (7x – 18)°C
The answer is 43 because when you multiply 6x6 you get 36 and if you add 6 more you get 42 which is one less that 43
What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4
1/2
2
4
8
Answer:
\(k = \frac{1}{2}\)
Step-by-step explanation:
Given
x 2 4 6 8
y 1 2 3 4
Required
Determine the constant of proportionality (k)
The relationship between x and y is:
\(y = kx\)
When y = 1, x = 2;
So, we have:
\(1 = k * 2\)
\(2 * k = 1\)
Make k the subject
\(k = \frac{1}{2}\)
Hence, the constant of proportionality is 1/2
Determine the period of this Function.
Answer:
4p
Step-by-step explanation:
The period is basically the difference in x from one "peak" to the other "peak".
The peaks are the highest points of a sinosodial function, and the figure them out, use the formula:
\(|peak_1-peak_2|=period\)
We know the first peak is at about x=0\(\pi\)
We know the second peak is at about x=4\(\pi\)
So plugging this in:
\(|0-4\pi |=4\pi\)
So the period is \(4\pi\)
I am assuming "p" stands for \(\pi\), so the answer should be 4p.
There are other ways to find the period, for instance if you are given a sinusodial function in writing instead of a graph.
Here is an example:
5sin(5x+2)+3
If we want to find period, we need to find what we call "b"
b is the number in front of x, which we can identify as bx, which in this case is 5x above.
Now what do we do with this "b"?
This is the value we need to find our period.
If you know b, you can use this formula to find the period:
\(\frac{2\pi }{b}=p\)
And when we plug in b:
\(\frac{2\pi }{5}\)
=
1.257, which would be your period.
THis can also be reworked so that you can find b:
If the formula for period is \(\frac{2\pi }{b}=p\), then the opposite formula would be \(\frac{2\pi }{ p}=b\)
And when you plug the period you have in:
\(\frac{2\pi }{1.257}\)
=
5
Anyway, your answer is 4p.
Hope this helps!
a bit of help please?
The value of x for the chord is:
x = 12
How to find the value of x for the chord of the circle?A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.
Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.
Using the above principle, we can say:
3 * x = 4 * 9
3x = 36
x = 36/3
x = 12
Thus, the value of x for the chord is 12.
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77 divided by 18 = ?
Answer: 4 with a remainder of 5
Answer:
4.27777777778
Step-by-step explanation:
4.3 rounded ;)
Convert 2933 in base 10 to base 2
Answer:
1011011101012
Step-by-step explanation:
Converting 2933 to base 10.
2*103=2000
9*102=900
3*101=30
3*100=3
Adding all to get Ans=293310
Step2 converting 293310 to 2
The equation calculation formula for 293310 number to 2 is like this below.
2|2933
2|1466|1
2|733|0
2|366|1
2|183|0
2|91|1
2|45|1
2|22|1
2|11|0
2|5|1
2|2|1
2|1|0
2|1|1
Ans:1011011101012
What is the next three terms for 2.45 ,3.86 ,5.27 , 6.68
what is the equation of the offer?
a) y=8x -10
b) y=-6x + 5
c) y= - 0,8x + 45
d) y= + 0,8x+ 20
e) y= - 0,4x + 60
Answer:
D) y= + 0.8x + 46
Step-by-step explanation:
Hope it helps
Complete the following statement.
In 35 ÷ 7 = 5, 5 is the
_____?
Answer:
Quotient.
Step-by-step explanation:
3 2/3 minus 1 12/15
Pls Help me
Answer:
1 13/15
Step-by-step explanation:
Answer:
1 13/15
Step-by-step explanation:
3 2/3 is the same as 1 10/15. 1 10/15-1 12/15=1 13/15.
which of the following representations show y as a function of x
The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.
What is a Function?A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.
The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.
In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.
The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.
The answer is: B.
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What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (-6, 9)?
y=-1/3x+3
y=-1/3x+7
y=3x-33
y = 3x + 27
Answer:
y = - \(\frac{1}{3}\) x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 3 ← is in slope- intercept form
with slope m = 3
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then
y = - \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 6, 9 ) into the partial equation
9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )
7 = c
y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line