Exponential form of 12 is 2. 2. 3. It is based on the prime factorization of the number.
Exponential form is a mathematical operation written as [tex]a^{n}[/tex] involving the base a and an exponent n. In the case where n is a positive integer, exponentiation corresponds to repeated multiplication of the base, n times.
[tex]a^{n}[/tex] = a × a × a.... n times
In order to write the exponential form we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. The exponential form is an easier way of writing repeated multiplication involving base and exponents.
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Find the finance charge for a $4,000, 2-year loan with a 4% APR.
The finance charge for a $4,000, 2-year loan with a 4% APR would be $320.
What does finance charge mean in finance?A finance charge is the interest we will pay on a debt and it's generally used in the context of credit card debt. A finance charge is normally calculated by using your annual percentage rate, or APR, the amount of money you owe, and the time period.
To calculate the finance charge, you would use the formula: Finance Charge = (APR/12) x Principal x Time (in months)
In this case: Finance Charge = (4/100/12) x $4,000 x 24 = $320.
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Monsieur le Gacy supports Paris St Germain Football Club. He went to twenty games last season.
They either played their matches at home or away.
• 60% of the games he attended were at home,
●
. The team won 2/3 of the home games,
They won 50% of all games Monsieur le Gacy attended.
●
How many games of the twenty did they win away from home?
The number of games that the team won away from home is given as follows:
2 games.
How to obtain the number of wins away from home?The number of games that the Paris Saint Germain team won away from home is obtained applying the proportions given in the context of this problem.
60% of the 20 games he attended were at home, hence 40% of the games were away games, hence the number of away games attended by Monsieur is given as follows:
0.4 x 20 = 8 games.
The team also won 2/3 of the home games, hence the number of wins at home is given as follows:
2/3 x 12 = 8 games.
They won 50% of all games Monsieur le Gacy attended, hence the number of wins is given as follows:
0.5 x 20 = 10 wins.
The wins are then divided as follows:
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2) You go out to breakfast and order a meal that costs $7.24
and a coffee that costs $2.65. You want to leave a 15% tip.
How much will you leave for a tip?
Amount is paid for a tip = $1.48 that is 15% of the total cost.
What is tip?
Amount of money paid by the customer himself to express the gratitude.
towards the hospitality made by the certain service sector.
How much you leave for tip?cost of meal = $7.24
cost of coffee = $2.65
total cost including meal and coffee = $(7.24+2.65) = $9.89
tip is given by customer 15 % of total cost
the amount of tip paid = 15/100×9.89 =$1.48
The customer paid $1.48 along with total cost $9.89.
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Juan bought 7.8 pounds of grapes for 2.85 per pound how much did Juan spend on grapes
Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.
What is a unitary method?A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.
Given that:
Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.
The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds, i.e.
= (7.8×2.85)
= 22.23.
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the comparison of two quantities with different units is called a
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.
If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.
Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.
If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.
Therefore,
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
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How can I open my cervix naturally?
Natural methods that may help to open the cervix include acupuncture, herbs such as red raspberry leaf, exercise, sex and nipple stimulation.
There are several natural methods that may help to soften and open the cervix in preparation for childbirth, including:
Acupuncture: Acupuncture has been found to be effective in helping to prepare the cervix for labor by promoting the release of oxytocin, a hormone that can help to soften and open the cervix.
Herbs: Certain herbs, such as red raspberry leaf, can help to tone the uterus and prepare the cervix for labor.
Exercise: Regular physical activity can help to maintain good health and prepare the body for labor.
Sex: Semen contains prostaglandins which can help to soften the cervix.
Nipple stimulation: Stimulating the nipples can also cause the release of oxytocin, which can help to soften and open the cervix.
It is important to note that these methods may not work for everyone, and it is best to consult with a healthcare provider before trying any new method.
Also, It's not advisable to self-induce labor or try to open the cervix before it's time as it can cause problems for both mother and baby.
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A train left Vicky' town and traveled for 4 hour and 50 minute to Wildgrove. Then it traveled 2 hour and arrived in Wetminter at 12:28 P. M. What time did the train leave Vicky' town?
The train left Vicky's town at 7:38 A.M. after traveling for 4 hours and 50 minutes to Wildgrove.
To calculate this, we need to work backward from the arrival time in Westminster. The train arrived in Wetminter at 12:28 P.M. and it took 2 hours to travel from Wildgrove to Westminster. So, if we subtract 2 hours from 12:28 P.M., we get 10:28 A.M.
Next, we need to take into account the time it took for the train to travel from Vicky's town to Wildgrove. The train traveled for 4 hours and 50 minutes to Wildgrove.
So, if we convert 4 hours and 50 minutes to minutes (4*60+50 = 290 minutes) and subtract it from 10:28 A.M., we get 7:38 A.M. This is the time the train left Vicky's town.
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which statement best describes the liquid state of matter
a) it has define shape but indefinite volume
b) it has define shape and definite volume
c) it has indefinite shape and indefinite volume
d) it has indefinite shape but define volume
D) it has indefinite shape but define volume
Liquids take shape of whatever container you put them in but flow freely if un-restrained, it has a volume because it doesn't grow or disappear unless acted upon
Solve for x:
1. 3 (x-12) =15
2. -5 (-2×+10) =10
3. 8(6-4x) = 12
4. 3 (2+6X) = 18
Step-by-step explanation: hi I also need help with this when the answer is posted pls let me know
Answer:
1. 17
2. 6
3. (9/8)
4. (2/3)
Step-by-step explanation:
1. 3(x-12) =15
3x-36=15
3x = 51
x = 17
2. -5(-2×+10) =10
10x - 50 = 10
10x = 60
x = 6
3. 8(6-4x) = 12
48 -32x = 12
-32x = -36
x = (-36/-32)
x = (9/8)
4. 3(2+6X) = 18
6 + 18x = 18
18x = 12
x=(12/18)
x = (2/3)
Can a triangle be constructed with sides 5 cm 6 cm and 11cm?
It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.
In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 6 cm and 11cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 5 and 6
5 + 6 = 11
11 = 11
Now we add 6 and 11
6 + 11 > 5
17 > 5
Now we add 5 and 11
5 + 11 > 6
16 > 6
It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.
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"Complete the table of values and answer these questions. Which function has the greater rate of change between 0 and 1? Which function has the greater rate of change between 1 and 2? Which function has the greater rate of change between 0 and 2?"
1. The complete table is:
x | f(x) | g(x)
0 1 0
1 3 3
2 9 6
2. g(x) has the greater rate of change between 0 and 1 is: g(x).
3. f(x) has the greater rate of change between 1 and 2 is: f(x).
4. f(x) is greater.
How to Find the Rate of Change between an Interval?The rate of change = f(b) - f(a) / b - a.
Given the following functions as:
f(x) = 3^x
g(x) = 3x
1. Complete the table by plugging in each of the values of x:
x | f(x) | g(x)
0 f(0) = 3^0 = 1 g(0) = 3(0) = 0
1 f(1) = 3^1 = 3 g(1) = 3(1) = 3
2 f(2) = 3^2 = 9 g(2) = 3(2) = 6
2. Rate of change between 0 and 1:
a = 0
b = 1
For function f(x) = f(b) - f(a) / b - a = 3 - 1 / 1 - 0 = 2
For function g(x) = g(b) - g(a) / b - a = 3 - 0 / 1 - 0 = 3
The function with the greater rate of change between 0 and 1 is: g(x).
3. Rate of change between 1 and 2:
a = 1
b = 2
For function f(x) = f(b) - f(a) / b - a = 9 - 3 / 2 - 1 = 6
For function g(x) = g(b) - g(a) / b - a = 6 - 3 / 2 - 1 = 3
The function with the greater rate of change between 1 and 2 is: f(x).
4. Rate of change between 0 and 2:
a = 0
b = 2
For function f(x) = f(b) - f(a) / b - a = 9 - 1 / 2 - 0 = 4
For function g(x) = g(b) - g(a) / b - a = 6 - 0 / 2 - 0 = 3
The function with the greater rate of change between 0 and 2 is: f(x).
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Find the measure of angles T and V.
Answer:
m<T = 36*
m<V = 54*
Step-by-step explanation:
2x + 90 + 3x = 180
5x + 90 = 180
5x = 90
x = 18
<T = 2x = 18 * 2 = 36
<V = 3x = 18 * 3 = 54
Hope this helps!
Write the equation of the line in standard form:
4y=2x+9
2x - 4y + 9 is the equation of the line in standard form.
What is standard form?Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.
Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.
Lets write the equation of the line in standard form:
4y=2x+9
We know that standard form = Ax + By=C
⇒ 4y = 2x + 9
⇒ 2x - 4y + 9
Here,
Ax = 2x
By = -4x
C = 9
Thus, 2x - 4y + 9 is the equation of the line in standard form.
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What is the table of 9 to 20?
Any number will do as a starting point. Then, multiply that figure by 9. If the outcome is a multiple-digit number .
what is sequence ?In mathematics, a sequence is a list of things that are in a particular order (or events). It has members, much like a set (also called elements, or terms). The number of ordered items determines the sequence's length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you should be aware with. A number sequence is a group of numbers connected by a rule. If you understand the rule, you can figure out the subsequent numbers in the series. Each number in this case differs from the others by 6. Because of this, the rule for this sequence is to add 6 each time.
given
Any number will do as a starting point.
Then, multiply that figure by 9. If the outcome is a multiple-digit number, add the digits to create a new number.
Add the digits of that new number together to create a new one if it is still a multi-digit number.
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In right angled triangle ABC, ABC = 90°, AC = 17 cm, BC = 15 cm then find the value of AB.
Therefore , the solution of the given problem of Pythagoras theorem is the value of AB is 8cm.
The Pythagoras Theorem is what?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, , are equal to the squares on the legs.
Here,
Given, in △ABC, ∠B=90
∴AC²=AB²+BC²
By Pythagoras theorem
=> AC²=AB²+BC²
=> 17² = 15² + AB²
=> 289 = 225 + AB²
=> 289 - 225 = AB²
=>AB = 64
=>AB = 8
thus , 8cm is the side length of AB
Therefore , the solution of the given problem of Pythagoras theorem is the value of AB is 8cm.
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if triangle KLJ ~ to triangle VWU, find the value of x. (LK=25, KJ=4x-23, UV=2x+2, WV=20)
In the given diagram, using similar triangles theorem, the value of x is 17
Similar triangle: Calculating the sides of a triangleFrom the question, we are to determine value of x in the given diagram
From the similar triangles theorem, we can write that
JK/KL = UV/VW
From the given information,
JK = 4x - 23
KL = 25
UV = 2x + 2
VW = 20
Thus,
(4x - 23)/25 = (2x + 2)/20
20(4x - 23) = 25(2x + 2)
80x - 460 = 50x + 50
80x - 50x = 50 + 460
30x = 510
x = 510/30
x = 17
Hence, x is 17
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help please ineed this
Answer:
(3,1)
Step-by-step explanation:
Find the value of x
The value of x is 70°
What is mean by polygon interior angle theorem? The Polygon Interior Angle Theorem states that the sum of all the interior angles of a polygon is equal to (n - 2)180 degrees, where n is the number of sides of the polygon. This theorem applies to all regular polygons, which are polygons with all sides of equal length. The theorem can be used to calculate the measure of an interior angle of a regular polygon by dividing the total sum of all the interior angles by the number of sides. For example, if a regular pentagon has five sides, the sum of the interior angles is 5(180) or 900 degrees. Therefore, the measure of each interior angle is 900/5 or 180 degrees. This theorem is also known as the Gauss-Bonnet theorem.
Solution:
Interior angle = (n-2) . 180°
(6 - 2) . 180°
Measure of Interior angle = 720°
x + 102 + 146 + 120 + 124 + 158 = 720°
x = 70°
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3 of 10
What is the connection between goals and savings?
Goals can give you a reason to save.
You can save goals.
You can buy goals.
Goals are not connected to savings.
Next →
Answer: Goals can give you a reason to save.
Step-by-step explanation: Because You cant Save your goals, Buy your goals or Not connect to savings. I wish my answer was usefulHELP ASAP PLEASE k12
When graphing the dots the first number is x and the second is y. when you graph the dots it should line up and look like a straight line, it doesnt matter if its diagonal as long as its straight. thats one of the reasons on why its proportional. graph the third box. (-2,-4) (-1,-2) (1,2) (2,4). thats the only box with a proportional relationship because when checking if its proportional you put the y over x to make it a fraction. for example, 2/1 which simplified is just 2. then you do that again with the rest of the table. using the third table it would be -4/-2 which simplified is 4/2 2/1 also known as 2. -2/-1 2/1 2. 2/1 2. 4/2 2/1 2. all of those simplified is 2 meaning its proportional. hope this helps!
The table shows the length, in inches, of fish in a pond.
15 18 9 22
7 15 10 18
Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.
In the table that shows the the length, in inches, of fish in a pond, there are no outlier. Last option
What is an outlier in mathematics?In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.
Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.
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Answer: D
Step-by-step explanation:
I got it right on the test
Nathan bought a wallet for 5% off its full price. What was the full price of the wallet if nathan paid $17. 67 before sales tax?.
The full price of the wallet that Nathan bought before the discount is $18.60
In this case, we are given that:
The total price after the discount = $17.67
Let’s assume that the full price of the wallet is X
The discount = 5% off = 0.05 X
We can find the full price by using this following formula:
Full price – discount price = total price after discount
X – 0.05X = 17.67
0.95X = 17.67
X = 17.67 : 0.95
X = 18.6
Therefore, the full price of the wallet before the discount is $18.6
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Solutions
2
1) f(x) = x, and the transformed version of the function, g(x)
=
f(2(x + 1)) - 10
Answer:
Step-by-step explanation:
its 6
Can someone help me I’m very confused?
Is it possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm if not why?
It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).
In the given question, we have to check that it is possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 4.8 and 6.2
4.8 + 6.2 < 12
11 < 12
Now we add 6.2 and 12
6.2 + 12 > 4.8
18.2 > 4.8
Now we add 4.8 and 12
12 + 4.8 > 6.2
16.8 > 6.2
It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).
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Find the volume of a pyramid with a square base, where the perimeter of the base is 12. 8\text{ m}12. 8 m and the height of the pyramid is 12. 5\text{ m}12. 5 m. Round your answer to the nearest tenth of a cubic meter.
A pyramid with a square base has a volume of 42.67 cubic meters.
What is perimeter?A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.
Here,
perimeter=12.8 m
side=12.8/4
=3.2 m
volume=1/3*3.2²*12.5
=1/3*128
=42.67 m³
The volume of a pyramid with a square base is 42.67 m³.
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Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )
How to find the dilated coordinates ?When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.
Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:
Point X :
= 2 x 2
= 4
Point Y:
= 1 x 2
= 2
So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )
It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.
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A bushel of apples weighs about 42
pounds.
There are 4 pecks in a bushel. It takes
2 pounds of apples to make one pie. How
many pies can you
make with one peck of
apples?
Answer:5
Step-by-step explanation: 42 divided by 4 = 10.5
10.5 divided by 2 = 5.25
round it and you get 5 pies per peck of apples
john is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem
Answer:
2 sides of equal length meaning the poster is a rectangle
It's supposed to be 7th grade math not high school.
Answer:
B. Isosceles
Step-by-step explanation:
It is 7th grade, maybe even 5th or 6th.
A scalene has no equal sides.
An isosceles has 2 equal sides
An Equilateral has 3 equal sides
Acute has angles less than 90 degrees
The box in the corner means 90 degrees so it's a right triangle and the ticks mean congruent. Obviously right isn't one of the options so isosceles is correct
Answer:
Isosceles Triangle
Step-by-step explanation:
An Isosceles or a scalene can have a right angle, but a scalene right triangle has a longer side that isn't equivalent like the sides of this triangle. So this makes it isosceles.
-Hope this helped