===========================
Work Shown:
3 cups = 1/4 tank
4*(3 cups) = 4*(1/4 tank)
12 cups = 1 tank
¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?
Answer:
2224.32 cm³
Step-by-step explanation:
La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h
Donde a = Apotema = 9,93 cm
P = Perímetro =
Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm
h = Altura = 28 cm
Por eso,
Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm
= 1/3 × 238.32 × 28 cm
= 2224.32 cm³
Volumen de la pirámide hexagonal = 2224.32 cm³
Challenge: Marty Mcfly is paid $20.80 per hour at an arcade. How many hours did he work (including some overtime) if he earned $1,144 in a week?
He works for 55 hours in order to receive grossly $1,144
How to determine the number of hours he works for $1,144?From the question, the given parameters are
Hourly rate = $20.80 per hour
Total earnings = $1,144
The number of hours he works for is the quotient of the total earning and the hourly rate
This is represented as
Number of hours = Total amount /Hourly rate
Substitute the known values in the above equation
So, we have the following equation
Number of hours = 1144/20.8
Evaluate
Number of hours = 55
Hence, the number of hours is 55 hours
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carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles. at this point in her trip, how far is she from home to the nearest tenth of a mile? Need answer right away
Answer:
need help
Step-by-step explanation:
Carla is 1.3 miles away from the home.
Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
Here, c=√(1.5²+2²-2×1.5×2 cos40°)
c=√(2.25+4-6×0.7660)
c=√1.654
c=1.28
c=1.3 miles
Therefore, Carla is 1.3 miles away from the home.
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Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9
Answer:
Step-by-step explanation:
The system of equations is:
x^2 = y
x^2 + y^2 = 9
Substituting the first equation into the second, we get:
x^2 + (x^2)^2 = 9
x^4 + x^2 - 9 = 0
Using the quadratic formula, we can solve for x^2:
x^2 = (-1 ± sqrt(37))/2
Taking the positive root, we get:
x^2 = (-1 + sqrt(37))/2
Substituting this back into the first equation, we get:
y = (-1 + sqrt(37))/2
So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)
Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).
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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9
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Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there ismore than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)18,3, 40, 19, 42, 48, 51, 43meanmedianmode(s)
The data are listed in ascending order to be:
\(3,18,19,40,42,43,48,51\)MEAN
The mean is the average of a data set. This can be calculated using the formula:
\(Mean=\frac{Sum\text{ }of\text{ }numbers}{Number\text{ }of\text{ }Numbers}\)From the question, we can calculate the mean to be:
\(\begin{gathered} Mean=\frac{3+18+19+40+42+43+48+51}{8}=\frac{264}{8} \\ Mean=33 \end{gathered}\)The mean is 33.
MEDIAN
The median is the middle of the set of numbers.
The middle terms are 40 and 42. Therefore, the median will be the average of the two numbers:
\(\Rightarrow\frac{40+42}{2}=41\)The median is 41.
MODE
The mode is the most common number in a data set.
The modes of the data are 3, 18, 19, 40, 42, 43, 48, and 51.
Shapes A and B are similar. a) Calculate the scale factor from shape A to shape B. b) Find the value of w. Give each answer as an integer or as a fraction in its simplest form. 4 cm A 7 cm 12 cm 3 cm B w cm 9 cm Not drawn accurately
a) The scale factor from shape A to B is 4/3.
b) Using the scale factor, the value for w is obtained as 5.25.
What is scale factor?
The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.
The diagram have two quadrilaterals which are similar.
To find the scale factor apply the proportion formula -
A : B = 4 : 3
So, the scale factor is -
A/B = 4/3
Therefore, the scale factor value is 4/3.
To find the value for length w use the scale factor.
The proportion expression is -
A : B = 7 : w
Substitute the values into the equation -
4 : 3 = 7 : w
Solve to get the value for w.
4/3 = 7/w
4w = 21
w = 21/4
w = 5.25
Therefore, the value for w is obtained as 5.25.
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students who earn a score of at least 80 win 5 tickets. what percentage of children who played skeeball won 5 tickets?
The percentage of children who played skeeball and won 5 tickets without knowing the number of children who played skeeball and the number of children who earned a score of at least 80
To determine the percentage of students who played skeeball and earned 5 tickets, we need to know how many students played skeeball and how many of them earned a score of at least 80.
Assuming we have this information, we can use the following formula to calculate the percentage of students who won 5 tickets:
Percentage = (Number of students who won 5 tickets / Total number of students who played skeeball) x 100
For example, if 100 students played skeeball and 25 of them earned a score of at least 80, then the percentage of students who won 5 tickets would be:
Percentage = (25 / 100) x 100 = 25%
Therefore, 25% of the children who played skeeball won 5 tickets.
It is important to note that the percentage of students who win 5 tickets may vary depending on the number of students who played skeeball and the difficulty level of the game.
It is also important to ensure that the scoring system is fair and transparent to all students to avoid any misunderstandings or discrepancies in the results.
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Please help with this I still do not know what I am doing
Answer:
See Below
Step-by-step explanation:
150 = p + 78 ------ you want to get the p to one side and the other number the the other side of the =
(78 - 150) = p (78 - 78) ---- what ever you do to one side you do to the other
72 = p
s - 51 = 12 (same thing as above)
s (-51 + 51) = 12 + 51
s = 63
65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)
65 = x + 7 (same as above)
( 7 - 65 ) = x ( 7 - 7 )
58 = x
The table shows how many males and females attended two different
movies. How would you find the joint relative frequency of being female and
attending a drama movie?
Action | Drama | Total
male- 105 | 124 | 229
Female- 99 | 151 | 250
Total- 204 | 275 | 479
A.) Divide 250 by 275
B.) Divide 151 by 275
C.) Divide 151 by 479
D.) Divide 151 by 250
To find the joint relative frequeny of being female and attending a drama movie, we need to divide the frequency of females who attended a drama movie (151) by the total number of moviegoers (479), which gives us the joint relative frequency.
Therefore, the correct answer is C) Divide 151 by 479.
The joint relative frequency represents the proportion of individuals who belong to two different categories simultaneously. In this case, we are interested in finding the proportion of females who attended a drama movie out of the total number of moviegoers. To do this, we divide the frequency of females who attended a drama movie by the total number of moviegoers. This gives us the joint relative frequency of being female and attending a drama movie, which in this case is 0.315, or approximately 0.32 when rounded to two decimal places.
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A survey of 170 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 68 of the 170 students responded "yes." An approximate 98% confidence interval is (0.313,0.487). Complete parts a through d below. a) How would the confidence interval change if the confidence level had been 90% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) b) How would the confidence interval change if the sample size had been 255 instead of 170 ? (Assume the same sample proportion.) The new confidence interval would be The new confidence interval would be (.203,.331). (Round to three decimal places as needed.) c) How would the confidence interval change if the confidence level had been 99% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.)
a) If the confidence level had been 90% instead of 98%, the new confidence interval would be (0.325, 0.475).
b) If the sample size had been 255 instead of 170, the new confidence interval would be (0.292, 0.508).
c) If the confidence level had been 99% instead of 98%, the new confidence interval would be (0.304, 0.496).
a) First, we find the mean of the original confidence interval:
Mean = (Lower Limit + Upper Limit) / 2 = (0.313 + 0.487) / 2 = 0.4
Margin of Error = (Upper Limit - Mean) = (0.487 - 0.4) / 2 = 0.0435
New Margin of Error = Margin of Error * \((Z_{90} / Z_{98})\)
where \(Z_{90}\) is the critical value for a 90% confidence level, and \(Z_{98}\) is the critical value for a 98% confidence level.
From the standard normal distribution table, we find:
\(Z_{90}\) ≈ 1.645
\(Z_{98}\) ≈ 2.326
New Margin of Error = 0.0435 * (1.645 / 2.326) ≈ 0.0306
Finally, we construct the new confidence interval using the adjusted margin of error:
New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)
= (0.4 - 0.0306, 0.4 + 0.0306)
≈ (0.3694, 0.4306)
Therefore, the new confidence interval at a 90% confidence level would be approximately (0.369, 0.431) when rounded to three decimal places.
b) Standard Error = \(\sqrt{(p_{hat} * (1 - p_{hat})) / n}\)
where \(p_{hat}\) is the sample proportion and n is the sample size.
Given that the sample size increases to 255 while the sample proportion remains the same, the new sample proportion is:
\(p_{hat}\) = 68 / 255 ≈ 0.267
Standard Error = sqrt((0.267 * (1 - 0.267)) / 255) ≈ 0.028
For a 98% confidence level, the critical value is \(Z_{98}\) ≈ 2.326.
New Margin of Error = \(Z_{98}\) * Standard Error = 2.326 * 0.028 ≈ 0.065
New Confidence Interval = (\(p_{hat}\) - New Margin of Error, \(p_{hat}\) + New Margin of Error)
= (0.267 - 0.065, 0.267 + 0.065)
≈ (0.202, 0.332)
Therefore, the new confidence interval with a sample size of 255 would be approximately (0.202, 0.332) when rounded to three decimal places.
c) From the standard normal distribution table, we find:
\(Z_{99}\) ≈ 2.576
New Margin of Error = Margin of Error * (\(Z_{99}\) / \(Z_{98}\)) = 0.0435 * (2.576 / 2.326) ≈ 0.0482
New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)
= (0.4 - 0.0482, 0.4 + 0.0482)
≈ (0.3518, 0.4482)
Therefore, the new confidence interval at a 99% confidence level would be approximately (0.352, 0.448) when rounded to three decimal places.
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For the scenario given, determine the smallest set of numbers for its possible values and classify the values as either discrete or continuous. the number of rooms vacant in a hotel Choose the smallest set of numbers to represent the possible values. integers irrational numbers natural numbers rational numbers real numbers whole numbers Are the values continuous or discrete? continuous discrete
The possible values of the number of rooms vacant in a hotel can be represented by the set of whole numbers and are classified as discrete.
The number of vacant rooms in a hotel can be represented as a set of whole numbers, which are also called natural numbers.
The reason for this is that it is not possible to have a fraction or irrational number of vacant rooms. It can only be a whole number that is either positive or zero.In terms of classification, the values of the number of rooms vacant in a hotel are discrete.
The reason for this is that the number of rooms vacant can only take on whole number values. It cannot take on values in between the whole numbers.
Therefore, the possible values of the number of rooms vacant in a hotel can be represented by the set of whole numbers and are classified as discrete.
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Compute the following arithmetic problems in Z/8. Represent your answer with the least positive representative of the appropriate equivalence class (a) [3] + [4] 7 ] (b) [2] . ([2] + [7]) 2 ]] (c) ([6] + [5]). ([3] + [7])
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
Here, we are given three equations as follows, let us solve them one by one-
a. [ [3] + [4] 7 ]
Here [z] = remainder when z is divided by 8
Thus, [4] = 4
⇒ [ [3] + 4*7 ]
= [ 3 + 28 ]
= [ 31 ]
= 7
b. [ [2] . ([2] + [7]) 2 ]
= [ 2 . (2 + 7) 2 ]
= [ 2*9*2 ]
= [ 36 ]
= 4
c. ([6] + [5]). ([3] + [7])
= (6 + 5). (3 + 7)
= 11*10
= 110
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
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PLEASE HELP WITH THIS MATH PROPLEMThere is a slide at the local elementary school your little sister loves to ride. She climbs 7 feet vertically up the stairs and slides down 11 feet. She then has to walk back to the stairs 9 feet to ride again. Does your little sister walking up the stairs, sliding down the slide, and walking back to the stairs form a right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
The diagonal slide, the stairs and the horizontal path form a triangle.
If the triangle is a right triangle, then it will satisfy the Pythagorean equation,
a² + b² = c²
If this were a right triangle, then the legs would by the path and the stairs.
a² + b² = 7² + 9² = 49 + 81 = 131
c² = 11² = 121
131 ≠ 121
Answer: No, it is not a right triangle.
What is the mean of the normal distribution shown below?
Answer:
0
Step-by-step explanation:
Just add up the numbers and divide by 7
-3-2-1+1+2+3
-6+6=0
0/7 is 0
Look at this system of equations.
-4x + 3y = 8
2x + 5y = -3
What value of b will make this system have the same solution?
by = 2
2x + 5y = -3
b =
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
What is the best math equation?Euler's identity is considered to be "the finest of equations" in maths classes because it describes an unlikely combination of five mathematical constants. Euler's equation (published by Leonhard Euler in 1755) applies in the case of a perfect fluid.The basic operations involved in arithmetic are addition, subtraction, multiplication, and division. Arithmetic mean (average) = Sum of values/Number of values.In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.The forms commonly encountered are empirical, molecular, structural, and projection formulas. An empirical formula consists of symbols representing elements in a compound, such as Na for sodium and Cl for chlorine, and subscripts indicating the relative number of atoms of each constituent element.A General Rule for Solving Equations
Simplify each side of the equation by removing parentheses and combining like terms.Use addition or subtraction to isolate the variable term on one side of the equation.Use multiplication or division to solve for the variable.x= 9, y= 15
-4x +3y= 8 -----(1)
2x +5y=-3-----(2)
(1) ×2:
-8x +6y= 16 -----(3)
(3) -(2):
-4x +6y -(-8x +6y)= 16 -1
-4x +6y +4x -5y= 15
y= 15
Substitute y= 15 into (1):
-4x +3(15)= 8
-4x+45=8
4x+45-8
4x=37
x=37÷4
x=9
b = 2(9) + 5(15) + 3
b = 13 + 75 + 3 = 91
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convert 336g to m³
\(336g \: to \: m3\)
The conversion 336g to m³ is impossible because they measure different units
How to convert 336g to m³From the question, we have the following parameters that can be used in our computation:
Convert 336g to m³
To convert a unit to another, the units must measure the same quantity
Take for instance:
Grams can be converted to kilograms because they both measure mass
Using the above as a guide, we have the following:
336g to m³ cannot be done because of the different quantities they represent
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the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.
Answer:
16 hours
Step-by-step explanation:
120/4 = 30 miles per hour
480/30 = 16 hours
Jill receives a salary raise of 3.5% each year for 8 years. In her 9th year with the contractor she works for, she decides to switch from full-time to 75% time. She receives her 3.5% raise as usual, and her salary will be $61,725.42. What was Jill's starting salary
Jill's starting salary was = 44442.38
percent raise received by Jill every year = 3.5%
After 9 years,
her salary will be = 61725.42
Increment received by Jill = 3.5 % × 61725.42
= 3.5 /100 × 61725.42
= 2160.38
Increment received by Jill in 8 years = 2160.38 × 8
= 17283.04
Starting salary of Jill = 61725.42 - 17283.04
= 44442.38
Why Employee Raises are Important?Employers have taken notice. According to another recent survey by PayScale, 85 percent of companies plan to give raises to employees in 2020 (though 71 percent of those planning to give raises are offering a 3 percent or less increase).
Plus, employees who feel good about their salaries tend to work harder, and show more loyalty to their companies. It’s important to make sure your employees feel valued for their time and efforts to grow your business.
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pls answer the question i am mark in brainlist
Answer:
x = -2
Step-by-step explanation:
Given: \(\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}\)
1. Cross-multiply
(x + 3)(x + 8) = (x + 5)(x + 4)
2. Distribute
⟹ (x + 3)(x + 8) = (x + 5)(x + 4)
⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
3. Combine like terms
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
⟹ x² + 11x + 24 = x² + 9x + 20
4. Subtract x² from both sides
⟹ x² - x² + 11x + 24 = x² - x² + 9x + 20
⟹ 11x + 24 = 9x + 20
5. Subtract 24 from both sides
⟹ 11x + 24 - 24 = 9x + 20 - 24
⟹ 11x = 9x - 4
6. Subtract 9x from both sides
⟹ 11x = 9x - 4
⟹ 11x - 9x = 9x - 9x - 4
⟹ 2x = -4
7. Divide both sides by 2 to isolate the variable
⟹ 2x ÷ 2 = -4 ÷ 2
⟹ x = -2
Find the area of a triangle ABC when m
Answer:
29.02
Step-by-step explanation:
The area of traingle formula with two sides and one angle is:
\(A = ab\frac{siny}{2}\)
When you put the values in, you can simplify it and put it into a calculator for sin. And, you then have your answer.
Which measure of center best describes the data set?
{1, 2, 13, 15, 22, 25, 29}
to Select from the drop-down menus to correctly complete the statements.
The data is| Choose.
This means that the mean is| Choose.
the center of the distribution. So the mean
Choose.
an of accurate reflection of the data set. Therefore, the Choose.
better represents the data set.
The best measure of center to describe this data set is the mean, which is the sum of all the values divided by the total number of values.
The data set {1, 2, 13, 15, 22, 25, 29} does not have any extreme outliers, so it is a relatively symmetrical data set. Therefore, the best measure of center to describe this data set is the mean, which is the sum of all the values divided by the total number of values.
In this case, the mean is (1+2+13+15+22+25+29)/7 = 15. The mean is a good measure of center because it takes into account all the values in the data set and gives an idea of the "typical" value.
On the other hand, the median, which is the middle value when the data set is arranged in numerical order, may not accurately represent the center of the distribution in this case because the data set is relatively symmetrical, so the median would be close to the mean.
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Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning.
Answer:
the answer would be 178$
Step-by-step explanation:
find out the rest
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124
families and finds that, on average, those families visit a farmers' market 4.2
times per month with a sample standard deviation of 1.3
. If Mika wants to be 99%
confident (z=2.58
) using this sample, what should her margin of error be and what does it mean?
Answer:
its B because of the transmission and the forms put together in the same place bio log
Which of the following is an example of a permutation?
OA. The number of ways to choose 3 students to represent a school at
a national competition
OB. The number of ways 7 books can be selected from 50
OC. Picking 5 sets of towels from 25 different sets
OD. Selecting a first-, second-, and third-place winner at a baking
competition
SUBMIT
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.
What are Permutation and Combination?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.
Hence, the correct option is D.
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hello! HELP NEEEDED!!!!!!!!!!!
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
\( \frac{1}{x} = \frac{2.5}{6.25} \)
\(2.5 x = 6.25\)
\(x = 2.5\)
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
Complete the equation of the line whose slope is -2 and y intercept is (0,-8)
Answer:
y=-2x-8
Step-by-step explanation:
Chord AC intersects chord BD at point P in circle Z.
AP=12 m
DP=5 m
PC=6 m
What is BP?
Enter your answer as a decimal in the box.
_______ m
The length of BP is 14.4 meters.
To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.
Using this property, we can set up the equation:
AP * PC = BP * DP
Substituting the given values:
12 m * 6 m = BP * 5 m
Simplifying:
72 m^2 = BP * 5 m
To solve for BP, divide both sides of the equation by 5 m:
72 m^2 / 5 m = BP
Simplifying:
14.4 m = BP
Therefore, the length of BP is 14.4 meters.
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Suzanne wants to put a fence around her square garden. If the garden covers an area of 64 ft^2, how many feet of fencing does she need? Area = length x width and length =width
Answer:
32 feet of fence
Step-by-step explanation:
The garden is a square, so the length and width are equal.
A = L x W
W = L
A = W²
A = 64
W² = 64
W = √64 = ±8 -- (-8) would be extraneous
W = 8 ft
L = 8ft
Since she is putting the fence around the garden, she needs to find the perimeter.
P = 2L + 2W
P = 2(8) + 2(8)
P = 16 + 16
P = 32 ft
32 feet of fence
Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
Exponential
The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.
His bank balance would follow the compound interest equation which is exponential.
= 400 × 1.08^t
where t is the number of years since the deposit
In the equation g+h= -5, if g=11 find value of h
Answer: " h = -16 " .
_________________
Step-by-step explanation:
_________________
Given the equation:
g + h = -5 ; and given: " g = 11 " ;
Plug in "11" for "g" ; and solve for "h" ;
_________________
11 + h = -5 ;
_________________
Subtract "11" from each side of the equation;
to isolate "h" on one side of the equation;
& to solve for "h" :
_________________
11 + h − 11 = -5 − 11 ;
to get:
h = -16 .
________________
Hope this helps!
Best wishes to you!
_________________