Answer:
8.66 years
Step-by-step explanation:
F = Pe^(rt)
2 = e^(0.08t)
ln 2 = ln [e^(0.08t)]
ln 2 = 0.08t
t = (ln 2)/0.08
t = 8.66
Answer: 8.66 years
Can you help me with this
HELPPP 1. Write an equation of the ellipse with foci (0,14) and co-vertices at (±4,0).
The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is [tex]x^2/16+y^2/36[/tex].
Define ellipse.An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:
[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]
Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.
[tex]c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36[/tex]
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A pair of shoes is on sale for 20% off they now cost 50$
The original price of the pair of shoes is $62.5.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = 100%
Offer price = $50
Offer = 20%
Now,
80% = 50
Multiply 100/80 on both sides.
100% = 100/80 x 50
100% = $62.5
Thus,
The original price is $62.5.
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You have a circle-shaped mirror in your bedroom. To figure out where to hang it, you must find the diameter of the circle. You know the radius is 34 centimeters. How long is the diameter in inches? (Diameter = 2xradius) ( 1in = 2.54cm)
A. 26.8 inches
B. 86.4 inches
C. 172.7 inches
D. 13.4 inches
The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.
The correct option is A.
What makes it called a circle?A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.
How can a circle be so strong?Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.
According to the given information:Given,
Radius of circle= 34cm=13.36 inches
Diameter= 2x radius
Diameter = 26.8 inches
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How do you graph the transformation of an absolute value function?
By translating, stretching and contracting, or reflecting, two functions from the same function family can become one another. Any function from a function family can be obtained by applying one or more transformations to a parent function.
By altering the graph of the parent absolute value function, many other absolute value functions can be created. The resulting absolute value functions take the following form:
[tex]y = |x-h| + k[/tex], where h and k are real numbers.
Absolute value functions can be created using the same kinds of operations that produce new linear functions. They also have a similar impact on absolute value functions. The transformations may, however, appear differently graphically due to some important discrepancies between linear functions and absolute value functions.
Here are some of the transformations:
Vertical Transformations
Translation up k units, k > 0; [tex]y = |x|+k[/tex]Translation down k units, k < 0; [tex]y = |x| + k[/tex]Horizontal Transformations
Translation to the right h units, h > 0; [tex]y = |x - h|[/tex]Translation to the left h units, h < 0; [tex]y = |x - h|[/tex]This is how we graph the transformation of an absolute value function.
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In Scrabble, there are a certain number of each of the vowel: A-9, E-12, I-9, O-8, U-4. You decided to place only the vowel in a bag to conduct an experiment of drawing and replacing the letter back in the bag. The experiment' outcome wa a follow:
E, I, A, E, E, A, I, O, U, U, A, A, O, O, E
Which vowel' theoretical probability wa cloet to the experimental probability?
A and E are the vowels that theoretical probability was closet to the experimental probability.
The probability is 0.1685%
Probability:
Probability defines the probability of an event occurring. There are many real world situations where we need to predict the outcome of an event. We may or may not be certain about the outcome of an event. In such cases, I say that this event may or may not occur. Probability in general has excellent applications for making probability-based predictions in games and economics, and it also has widespread applications in this emerging field of artificial intelligence. The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative. The formula for calculating the probability of a
event is:
probability (event) = favorable outcome/total outcome
Now,
According to the Question:
N vowels = N(A) + N(E) + N(I) + N(O) + N(U)
=9 + 12 + 9 + 8 + 4
=42
The total number of letters is:
1×5+2×10+3×1+4×4+6×3+8×1+9×2+12×1=100
This is because dragging the tile reduces the number of vowels and the total number of letters.
p =42×41×...×36100×99×...×94
= 5916335104300
≈ 0.1685%
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At Memorial High School, 60 of the 240 freshmen students are on an athletic team sponsored by the school. If the ratio is the same for the sophomore class, how many of the 220 sophomores are NOT athletes
Answer:
165 students or the sophomore class of 220 are not athletic.
Step-by-step explanation:
60/240 = .25 This means that 25% of the class is athletic. That would mean and .75 or 75% are not athletic.
220 x .75 = 165
Is maths hard or easy?
Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers.
Maths is a subject that can range in difficulty depending on the level of complexity and the individual's experience and knowledge. Some people may find it easy, while others may find it difficult. In the end, it all depends on the level of understanding and the amount of effort put into learning and practicing.
Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers
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Answer:
BOTH!
Step-by-step explanation:
See math can be easy or hard. It all depends on YOU. The equation itself isn't hard at all. Mybe a little more work to put in. but its your brain that tells you comething is too challenging or too hard. Now if you are a straight A students and you love math then ofcource your going to be like this is easy!
Can you help me with this
On Tuesday Leah bought four hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 13 left. How many did she have on Monday? W: 22 hats N: 20 hats M: 10 hats O: 5 hrs
The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.
How to find the number of hats ?If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :
= 13 hats x 2
= 26 hats
Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :
= Total hats - Hats purchased on Tuesday
= 26 - 4
= 22 hats
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Does 3 3 have a solution?
Given equation 3 = 3 is an identity, so it has infinite solutions.
Consider the given mathematical equation 3 = 3
We need to check whether the given mathematical equation has solution or not.
We know that a statement 3 = 3 's true no matter what.
We can observe that for given statement 3 = 3, there's no variable in sight.
This means, 3 = 3 must has infinite solutions.
We know that an equation which is always true, no matter what values we substituted is called as an identity.
This equation is an identity, all real numbers are solutions.
Therefore, the equation 3 = 3 have infinitely many solutions.
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HELP! (25 POINTS AND CROWN FOE THE RIGHT ANSWER!!)
What are the 3 possible solutions when solving a system of equations?
Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
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Find h when v = 54, L=6 and w = 3
Answer:
3
Step-by-step explanation:
Given,
v = 54
l = 6
w = 3
To find : Value of h = ?
Formula : -
v = lwh
h = v/lw
h = 54/( 6 × 3 )
= 54/18
h = 3
Hence, the value of h is 3.
will give brainliest please
Answer:
Step-by-step explanation:
a. we konw triangle have 180°
b. A straight line have 180°， so
∠abc=180-5x-12=168-5x,
∠bca=180-10x+37=217-10x
∠cab=180-9x-1=179-9x
then add them all 564 - 24x = 180
c.384=24x, x=16
d.so ∠bca=217-10·16=57.
Answer:
m∠BCA = 57°-------------------------------------------
Sum of exterior angles is 360°:
9x + 1 + 5x + 12 + 10x - 37 = 36024x - 24 = 36024x = 384x = 384/24x = 16The exterior angle at vertex C is:
10x - 37 = 10*16 - 37 = 160 - 37 = 123The ∠BCA is the linear pair with 123°:
m∠BCA = 180° - 123° = 57°A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table on the left.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Answer:
d
Step-by-step explanation:
-1.8 × (-9.3)
How do I find this with the whole equation written out show your work of how you do this please
Answer:
16.74
Step-by-step explanation:
-1.8 times -9.3 will have a positive answer because 2 negative numbers will have a positive sum
-1.8
x -9.3
---------
5 4
1 6 2 0
---------
1 6 7 4 ||| add two decimal spaces
16.74
a. Kiran tried to double this recipe. He used 2 cups of
yogurt, 6 tablespoons of peanut butter, 5 teaspoons of
chocolate syrup, and 4 cups of crushed ice. He didn't
think it tasted right. Describe how the flavor of Kiran's
recipe compares to Clare's recipe.
Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.
Define unitary method.A single or distinct variable is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
Here,
Given :This recipe was doubled by Kiran. He used 4 cups of crushed ice, 6 tablespoons of chocolate syrup, 6 tablespoons of peanut butter, and 2 cups of yogurt.
1. Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.
2. Answers vary. Sample response: he should use 4 teaspoons of chocolate syrup instead of 5.
Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.
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lamar bought v vanilla cupcakes and 8 chocolate cupcakes for the party write an expression that shows how many cupcakes lamar bought in all
Answer:
8 + v
Step-by-step explanation:
assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]
What is a 69 sided shape called?
A 69 sided shape called"Hexacontakaienneagon".
Naming a polygon by its number of sides requires that we know the appropriate:
3=tri, 4=tetra, 5=penta, 6=Hexa, 7=hepta, 8=octa, 9=Nona or ennea, 10=deca,11=hendeca,12=dodeca,13=triskaideca,14=tetradeca,15=pentadeca,16=hexadeca,17=heptadeca,18=octadeca,19=enneadeca,20=icosa
For polygons with 3 through 20 sides, simply add "gon" to the prefixes at the left.
For more than 20 sides, we "construct" the name by using so-called combining prefixes:
For Tens Digit:
20=icosi,30=triaconta,40=tetraconta,50=pentaconta,60=hexaconta,70=heptaconta,80=octaconta,90=enneaconta
for One's Digit:
1=hena,2=di,3=tri,4=tetra,5=penta,6=hexa,7=hepta,8=octa,9=ennea
60 and 9
hexaconta kai ennea
As per the given information, 69 is defined as "Hexacontakaienneagon".
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The area of the triangle is no more than 30 square inches. Right and solve inequality that represents a.
(HELP ASAP!)
The answer is a ≤ 30.
An inequality is a mathematical expression that compares two values or expressions using an inequality operator. In this case, the inequality would be a ≤ 30. This means that the area of the triangle must be less than or equal to 30 square inches.
This can be solved by finding the area of the triangle. To do this, we need to know the lengths of the sides of the triangle. Suppose we have sides p, q, and r. Then the area of the triangle can be found using the formula:
a = 1/2 × b × h
where q is the base of the triangle and r is the height. To ensure that the area of the triangle is no more than 30 square inches, the inequality must be satisfied. That is, 1/2 × b × h ≤ 30. This inequality can be rewritten in terms of the side lengths by substituting 1/2 × q × r for h. This gives us a ≤ 30.
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A 2 3/4inch candle burns down in 11 hours. At what rate does the candle A burn, in inches per hour?
Answer:
0.25 in/h
Step-by-step explanation:
1. change 2 3/4 t0 2.75
2. 2.75/11= 0.25
As a 11 1/3 inch candle burns down, its height decreases 1/6 inch each hour. How many hours does it take for the candle to burn completely?
SHOW YOUR WORK
The number of hours after which the candle is burned completely is
68 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Candle height = 11(1/3) inches
Each hour the height decreases by 1/6 inch.
Now,
The equation to find the number of hours x after which the candle is burnout is 11(1/3) - (1/6)x = 0
Solve for x.
11(1/3) - (1/6)x = 0
11(1/3) = (1/6)x
34/3 = (1/6)x
x = (34 x 6) / 3
x = 34 x 2
x = 68
Thus,
After 68 hours the candle is completely burnt.
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Don’t know just need help with answer
The length AB is 15.
What is length ?
Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.
The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.
In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.
As it is a isosceles the two sides are equal
5x = 4x + 3
x = 3
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What is the solution of 2x² 3x 2 0?
The equation 2x² + 3x - 2 = 0 has the solutions or roots 1 and -2. The quadratic equation is 2x² + 3x - 2 = 0
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.
given
Below is the quadratic equation.
2x² + 3x - 2 = 0
When you factor the equation, you get
2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x(x + 2) - 1(x + 2) = 0
(x - 1)(x + 2)
x = 1, -2
The equation 2x2 + 3x - 2 = 0 has the solutions or roots 1 and -2
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!!!PLEASE HELP ASAP!!!
Thus, complete scale is: 1 inch = 57.7 miles
This can be solved by the concept of cross-multiplication method.
What is inch scale?A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.
Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
Correct order is:
d. 27 / 1557 = 1/d
e. 27 . d = 1 . 1557
a. 27d = 1557
f. 27d / 27 = 1557 / 27
b. d = 57.7
c. scale: 1 inch = 57.7 miles
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Select all questions that depicts one of the properties of exponents
Answer: 1st, 4th, and 5th choices
How do you know if a linear system has one solution?
A linear system has one solution if the slopes of the equation of lines are different.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
A linear equation is equal to the equation of a line, which has the form:
y = mx +b
where m = slope
If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
Example:
2x + 5y = 34 .. .. (equation 1)
x + 5y = 32 .........(equation 2)
Change the equation 1 and equation 2 into slope-intercept form:
y = (-2/5) x + 34/5 ..... (equation 1a)
y = (-1/5) x + 32/5 ..... (equation 2a)
The slope of equation is (-2/5) while equation 2 is (-1/5), which is different from equation 1. Hence, the system of linear equation has one solution.
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If an object is propelled upward from ground level with an initial velocity of 80. 1 feet per second? It’s height h in feet t seconds later is giving by the equation h= -16ft+ 80. 1t after how many seconds does the object hit the ground
The object will hit the ground after 5.01 seconds.
When an object is propelled upward from ground level with an initial velocity of 80.1 feet per second then its height h in feet t seconds later is giving by the equation,
h= -16t^2+ (80.1)t
When the object hit the ground, the height of the object h would be zero.
To find: time (t) when h = 0
Substitute h = 0 in given equation.
h = -16t^2+ (80.1)t
0 = -16t^2+ (80.1)t
16t^2 - (80.1)t = 0
t (16t - 80.1) = 0
t = 0 or 16t - 80.1 = 0
t = 0 OR t = (80.1)/16
t = 0 OR t = 5.01
Therefore, it will hit the ground after 5.01 seconds.
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What is the value of 5 by 2?
The value of 5 divided by 2 is 2.5.
Therefore the answer is 2.5.
When dividing 5 by 2, we are trying to find out how many times 2 can fit into 5. The answer is 2 with a remainder of 1, this is why it can also be written as 2 and 1/2.
When dividing 5 by 2, we can also write the result as a fraction, in this case, it is 2 and 1/2 or 2.5 in decimal form. It is the exact same thing as 2.5, just represented in a different way.
It's important to note that, in general, dividing integers will give a decimal number. If you want the result to be a fraction, you will have to express it as such.
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