Answer:
-7, -6, |5|, |-6|, 8
Step-by-step explanation:
Negatives have the least amount. but since the absolute value does not take into account negatives, the actual number amount would be used. And 8 is just the greatest number here.
x-0.25x =0.75x
Which of the following statement matches the mathematical equation?
Answer: Decrease a number by 25% is the same as increasing by 75%
Step-by-step explanation:
Identify percent of change. 20 is decreased to 6.
Answer:
70%
Step-by-step explanation:
the formula for percent of change is:
New value - Old value divided by Old value
we can write this algebraically as:
(6-20)/20 which is -14/20
the negative simply implies a 'decrease' from old to new
14/20 equals 70/100 or 70%
Answer:
The answer to your question is 70% decrease
Step-by-step explanation:
I hope this helps and have a wonderful day!
4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
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Write a recursive sequence that represents the sequence defined by the following explicit formula:
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)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.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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9. Apply Math Models A landscaper is planning a rectangle shaped flower garden
with an area given by the expression 4p² + 12p square yards. Draw one possible design
for the flower garden and label the dimensions for the length and width.
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is the width. Therefore, to find the dimensions of the rectangle, we can set up the equation 4p² + 12p = lw.
To solve this equation, we can first distribute the 4p² on the left side of the equation to get 4p² + 12p = 4p²l + 12pw. Then, we can rearrange the terms to get 12pw - 4p²l = 0.
To solve this equation for w, we can divide both sides by 4p(p - l), which gives us w = 3l/4p.
Therefore, the dimensions of the rectangle are l and 3l/4p. You can choose any value for l and then use the equation above to find the corresponding value for w. For example, if you choose l = 4, then w = 3(4)/4p = 3/p.
To draw, first, decide on a value for the length of the rectangle, l. Then, use the equation w = 3l/4p to calculate the corresponding value for the width of the rectangle, w.
Next, use the ruler or straight edge to draw two straight lines that are perpendicular to each other, forming the sides of the rectangle. The length of the rectangle should be equal to l, and the width of the rectangle should be equal to w. Make sure to label the length and width on your drawing.
Pls help; tysmmmmmmn <3
Answer:
64
Step-by-step explanation:
ˣ= 8
Since x² it means you have to multiply
8 two times
8 x 8= 64
Use the appropriate formula to find (a) the monthly (n=12) payment on a loan with the given conditions and (b) the total interest that will be paid during the term of the loan.$9,200 is amortized over 6 years at an interest rate of 6.6%(a) the monthly payment is?(b) total interest paid is?
We will solve as follows:
We have that the interest rate is 6.6%:
\(P=\frac{(Pv\cdot R)}{(1-(1+R)^{n-1}}\)Here we have P the monthly payment, Pv is the Present value, R is the periodic interest rate(APR/n) n is the total number of interest periods, so:
\(P=\frac{(9200)(\frac{0.066)}{12})}{(1-(1+\frac{0.066}{12})^{11})})\Rightarrow P\approx155.09\)So, the monthly payment is approximately $155.09.
And the total interest paid is given by:
\(I=N\cdot M-P\Rightarrow I=(155.09)(72)-9200=I=1965.33\)For the equation f(x) = 1.1 * (0.44) ^ x state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x
c = (Type an integer or a decimal)
a = (Type an integer or a decimal)
R = % (Simplify your answer. Type an integer or a decimal)
The parameters of the exponential function in this problem are given as follows:
c = 1.1.a = 0.56.R = -56%.What is an exponential function?The standard format of an exponential function is given as follows:
y = c(1 - a)^t.
This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:
c is the initial value, value assumed by y when t = 0.a is the decay rate.In this problem, the function is given as follows:
f(x) = 1.1(0.44)^x.
Hence the values for the parameters are given as follows:
c = 1.1, which is the initial value.a = 0.56, as 1 - a = 0.44 -> a = 0.56.Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.
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Answer 32. Down below
The expression for the variable b in terms of a, S, and n in the formula for the sum of an arithmetic sequence is; b = (2·S/n) - a
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers in which each subsequent term in the sequence increases from the value of the previous term by the same amount.
The formula for finding the finite sum of an arithmetic sequence can be presented as follows; S = (n/2)·(a + b), where;
n = The number of terms in the sequence
a = The first term in td sequence
b = The last term in the sequence
The steps that can be used to make the variable b the subject of the equation, are;
S = (n/2)·(a + b)
a + b = 2·S/n
b = 2·S/n - a
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Please answer !!!!
25 points
Answer:acd
Step-by-step explanation:yw
Evaluate the expression for x = 0.1
1.2x
Answer:
0.12
Step-by-step explanation:
This is the answer because:
1) First, rewrite the expression including the x value
1.2(0.1)
2) Next, we know 1.2 x 1 is 1.2, but since we have one decimal point in 0.1, we have to move the decimal point in 1.2 once to the left. This will make the answer 0.12
Hope this helps! :D
Hernandez Company issued $380,000, 7%, 10-year bonds on January 1, 2022, for $407,968. This price resulted in an effective-interest rate of 6% on the bonds. Interest is payable annually on January 1. Hernandez uses the effective-interest method to amortize bond premium or discount.
For calculation of the following entries, the bond interest expense will gotten by multiplying the carrying bond value by the market interest rate.
Journal entry to record issuance of the bonds
Date Account titles Debit Credit
Jan. 1. Cash $407,968
Bonds payable $380,000
Premium on bonds payable $27,968
($407,968 - $380,000)
Journal entry to record accrual of interest and the premium amortizationDate Account titles Debit Credit
Dec. 31. Bond interest expense $24,478
Premium bond payable $2,122
Bond interest payable $26,600
Journal entry to record payment of interestDate Account titles Debit Credit
Jan. 1. Bond interest payable $26,600
($380000 * 7%)
Cash $26,600
Missing words "Prepare journal entries to record (a) The issuance of the bonds, (b) The accrual of interest and the premium amortization on December 31, 2022 and (c) The payment of interest on January 1, 2022"
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What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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NEED HELP ASAP ILL GIVE BRAINLIEST!
Which sequence of transformations creates a similar but not congruent triangle?
Dilation and reflection
Reflection and rotation
Reflection and translation
Translation and rotation
Dilation and reflection creates sequence of transformations creates a similar but not congruent triangle.
Extra's: translations, reflections and rotations produce congruent triangles.
Please help me i need it
Answer:
x+4x=5x
5x+x=6x
6x+8x=14x.
In the number 4,434, how does the value represented by the digit in the thousands place compare with the value represented by the same digit in the hundreds place? Math item stem image CLEAR CHECK It is 10 more. It is 10 times the value. It is 100 times the value. It is the same value.
When compared to the value denoted by the same digit with in hundreds place, the value in the thousands place is 10 times greater.
Explain about the place value chart?We can determine the place value from every digit by looking at a place value chart, which is a highly helpful table format.
In the place value chart, a digit's place value increases as we move left and drops as we move right by a factor of ten.We can also write numbers using their expanded form by using base-ten blocks to indicate the place values of the digits in the number.The digits in a decimal number to the left of that decimal point stand for a whole number. The parts are represented by the digits toward the right of the decimal.In the given number: 4,434.
thousands place : 4
hundreds place: 4
Thus, when compared to the value denoted by the same digit with in hundreds place, the value in the thousands place is 10 times greater.
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PLEASE HELP GEOMETRY
Answer:
60
Step-by-step explanation:
find the length of segment BC
Answer:
Well B is 6 and c is 12. So if you are finding out line segment Bc then all you have to do is combine bot h B and C. So you would get 6x12. If you could peroxide a graph that would be great.
So therefore the answer is 12
Step-by-step explanation:
PLEASE HELP HIGH POINTS
Step-by-step explanation:
here is your answer hope you will enjoy mark me as brain list
thank you
Answer:
first we have to add 1/n plus 1/2 which is n+3/3n
since were just adding that by its self we can say
1/2 n+3/3n=5/12
Simplifies to: 3n 2n+6 = 5 12
Let's solve your equation step-by-step.
3n 2n+6 = 5 12
Step 1: Cross-multiply.
3n 2n+6 = 5 12 3n*(12)=5*(2n+6)
36n=10n+30
Step 2: Subtract 10n from both sides.
36n−10n=10n+30−10n 26n=30
Step 3: Divide both sides by 26.
26n 26 = 30 26 n= 15 13
Hope this Helps!!!
if tan (A) = 3/4, then tan (B) equals
Answer:
i think I will also be =3/4
If o=12, find the sample size to estimate the mean with an error of +4 and 95 percent confidence (rounded to the next higher integer).
Multiple Choice
75
35
58
113
URGENT
We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.
To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:
n = [(z*sigma)/E]^2
Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)
We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:
n = [(1.96*12)/4]^2
n = 169.64
Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.
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Two airplanes leave an airport at the same time, flying in the same direction. One plane is flying at twice the speed of the other. If after 4 hours they are 1800 km apart, find the speed of each plane.
Answer:
One plane has a speed of 450 km/h and the other has a speed of 900 km/h.
Step-by-step explanation:
I am going to say that:
The speed of the first plane is x.
The speed of the second plane is y.
One plane is flying at twice the speed of the other.
I will say that y = 2x. We could also say that x = 2y.
Two airplanes leave an airport at the same time, flying in the same direction
They fly in the same direction, so their relative speed(difference) at the end of each hour is y - x = 2x - x = x.
If after 4 hours they are 1800 km apart, find the speed of each plane
After 1 hour, they will be x km apart. After 4, 1800. So
1 hour - x km apart
4 hours - 1800 km apart
4x = 1800
x = 1800/4
x = 450
2x = 2*450 = 900
One plane has a speed of 450 km/h and the other has a speed of 900 km/h.
Solve for x. Round to the nearest tenth ofa degree, if necessary.5.3HGto8.5F
We have a rigth triangle, where we have to find the measure of x.
We can use trigonometric ratios to relate the lengths of the sides and the measure of x.
The lengths we know are from the hypotenuse and the adyacent side of x, so we can use the following trigonometric ratio:
\(\begin{gathered} \cos (x)=\frac{\text{Adyacent}}{\text{Hypotenuse}} \\ \cos (x)=\frac{5.3}{8.5} \\ x=\arccos (\frac{5.3}{8.5})\approx\arccos (0.623)\approx51.4\degree \end{gathered}\)Answer: x = 51.4°
Explain how to eliminate y from the given system of equations.
To eliminate y from the given system of equations, multiply the first equation by 2 and multiply the first equation by 3 and add them.
What is eliminate method to solve an equation?Utilizing the elimination approach is one strategy to resolve a linear system. To create an equation in one variable using the elimination approach, you can either add or subtract the equations.
To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
If you don't already have equations that allow for the addition or subtraction of a variable, you can start by multiplying one or both equations by a constant to create an analogous linear system that allows for the addition or subtraction of a variable.
Given that, the linear equations are
2x + 3y = 6
3x – 2y = 4
To eliminate y from the given system of equations, multiply the first equation by 2 and multiply the first equation by 3 and add them.
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The complete question is:
Explain how to eliminate y from the given system of equations.
2x + 3y = 6
3x – 2y = 4
Which arrangement shows275, 5.36, 535, and 336 in order from least to greatest?
Step-by-step explanation:
1. 5.36 is the lowest
2. 275 is more than 5.36
3. 336 is more than 275
4. 535 is more than 336
What is the formula forfinding the area of a circle using its radius or diameter.
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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The blue dot is at what value on the number line?
Answer:
1
Step-by-step explanation:
Answer:1
Step-by-step explanation: you add two with each line going right
I really need help please
Applying the Solution to a 3X3 System
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Show up all steps please
The amounts of people in attendance are given as follows:
Children: 190.Parents: 140.Grandparents: 70.How to obtain the amounts?The amounts are obtained by a system of equations, for which the variables are given as follows:
Variable x: amount of children.Variable y: amount of parents.Variable z: amount of grandparents.There were 400 people total, hence:
x + y + z = 400.
There were twice as many parents as grandparents, hence:
y = 2z.
50 more children than parents, hence:
x = y + 50
x = 2z + 50.
Replacing on the first equation, the value of z is obtained as follows:
2z + 50 + 2z + z = 400
5z = 350
z = 70.
Then the values of x and y are given as follows:
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You order three sandwiches and a drink. The drink costs $1.75. You pay 8% sales tax and leave a $5 tip. You pay a total of $20.66. How much does one sandwich cost?
Using proportions, it is found that one sandwich costs $4.25.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Considering x as the cost of a sandwich, the total cost is given as follows:
1.08(3x + 1.75) + 5 = 20.66.
The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:
1.08(3x + 1.75) = 15.66
3x + 1.75 = 14.5
3x = 12.75
x = 12.75/3
x = 4.25.
Hence one sandwich costs $4.25.
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