Answer:
down below
Step-by-step explanation:
x = y/7 + 61/7
y= 7x - 61
Jason solved the following equation to find the value for x. -8. 5x – 3. 5x = –78 x = 6. 5 describe how jason can check his answer.
Jason can check his answer isolate the variable, solving the operations and substituting the (x) value in the equation.
The clearance rules to solve the problem are the following:
What is adding goes to the other side of the equality by subtracting.What is multiplying goes to the other side of the equality by dividing.The sign rules to solve the problem are the following:
Two like signs add the values and keep the common sign.Two unlike signs subtract the values and use the highest value sign.Solving the equation we have:
-8. 5x – 3. 5x = –78
Two like signs add the values and keep the common sign.
-12x = -78
What is multiplying goes to the other side of the equality by dividing.
x = -78 / -12
x = 6.5
Substituting the (x) value in the equation we can check the answer and we get:
-8. 5x – 3. 5x = –78
-8.5(6.5) - 3.5(6.5) = -78
-55.25 - 22.75 = -78
- 78 = - 78
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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Please help 100 points
Answer:
a₁ = 7
a\(_{n}\) = -3 ⋅ a\(_(n-1)\), for n > 1
Step-by-step explanation:
Do you want to know how to write a recursive formula for a_n, the n^th term of the sequence: 7, -21, 63, -189...? Well, it's easy as pie! Just follow these simple steps:
1. Find the common ratio of the sequence. This is the number that you multiply each term by to get the next term. In this case, it's -3. You can check by dividing any term by the previous term. For example, -21 / 7 = -3, 63 / -21 = -3, and so on.
2. Write the formula for a\(_{n}\) using the common ratio and the previous term. The formula is a\(_{n}\) = -3 ⋅ a\(_(n-1)\)), where n is any positive integer greater than 1. This means that to find any term in the sequence, you just multiply the previous term by -3.
3. Write the formula for a₁, the first term of the sequence. This is the starting point of the recursion. In this case, it's 7. You can find it by looking at the first term in the sequence or by plugging in n = 1 into the formula for a\(_{n}\) .
4. Voila! You have written a recursive formula for a\(_{n}\) . The formula is:
a₁ = 7
a\(_{n}\) = -3 ⋅ a\(_(n-1)\), for n > 1
Congratulations! You are now a master of recursion! Give yourself a pat on the back and celebrate with some pi!
Calculate the 47th term in the following sequence:
11,14,17,20,
Answer:
149 is the 47th term in the given sequence.
Step-by-step explanation:
An = A1 + (n-1)d
In this problem, An is represented as A47, or the term we are looking to find,
A1 is the first number in the sequence, so in this case, it would be 11,
n is the term that is attached to An, in this case, it would be 47,
d is the common difference, or what number can I add or subtract to get the other number and all other numbers in the sequence, for this case it would be 3. (11+3=14, 14+3=17, 17+3=20)
Now, we plug in all numbers, and it would look like
11+(47-1)3
11+(46)3
11+138=149
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
I need help help me please
The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?
Answer:
the new coords are (2,-3) the new y coord is -3
Step-by-step explanation:
Step-by-step explanation:
Of course the new coordinates are (2,-3)
Hope it helps....
'cause you know better.....
the robotics manufacturing company operates an equipment repair business where emergency jobs arrive randomly at the rate of two jobs per 8-hour day. the company's repair facility is a single-server system operated by a repair technician. the service time varies, with a mean repair time of 3.2 hours and a standard deviation of 2.0 hours. the company's cost of the repair operation is $27 per hour. in the economic analysis of the waiting line system, robotics uses $37 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.)
λ=[
μ=
(b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)
Lq = ____
L = ____
Wq = ____
W = ____
The arrival rate (λ) is approximately 0.5 jobs per hour, and the service rate (μ) is approximately 0.3125 jobs per hour.
The operating characteristics are approximately:
Lq = 1.3333
L = 2.1333
Wq = 2.6667
W = 5.3333
(a) To find the arrival rate (λ) and service rate (μ) in jobs per hour, we need to convert the given rates from jobs per day to jobs per hour.
Given:
Arrival rate: 2 jobs per 8-hour day
Mean repair time (service time): 3.2 hours
To convert the arrival rate to jobs per hour:
λ = (2 jobs / 8 hours) * (1 hour / 1/8 day)
λ = 0.5 jobs per hour
To find the service rate (μ), we can use the reciprocal of the mean repair time:
μ = 1 / (mean repair time)
μ = 1 / 3.2
μ ≈ 0.3125 jobs per hour
(b) Operating characteristics:
Lq: Average number of jobs in the queue
L: Average number of jobs in the system (queue + being served)
Wq: Average time a job spends in the queue
W: Average time a job spends in the system (queue + service time)
To calculate these operating characteristics, we can use the formulas for a single-server queue with exponential arrival and service times:
Lq = λ^2 / (μ * (μ - λ))
L = λ / (μ - λ)
Wq = Lq / λ
W = Wq + (1 / μ)
Plugging in the values:
Lq = (0.5^2) / (0.3125 * (0.3125 - 0.5))
L ≈ 0.25 / 0.1172
Wq = Lq / 0.5
W = Wq + (1 / 0.3125)
Evaluating the expressions:
Lq ≈ 1.3333
L ≈ 2.1333
Wq ≈ 2.6667
W ≈ 5.3333
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Caroline wants to buy 100 g of spice mix from a British or French website.
The conversion rate is €1 = £0.85
What is the price, including delivery costs, that Caroline would pay for the spice mix from the cheaper website? Give your answer in pounds (£).
British website: £0.90 for 25 g Free delivery.
French website: €1.20 for 50 g €0.80 delivery per order.
The website which is cheaper for Caroline to buy the spice mix is French website.
Given data ,
Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.
British website:
Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60
Since the British website offers free delivery, the total cost remains £3.60.
French website:
Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40
Delivery cost = €0.80
On simplifying the equation , we get
To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.
Price in pounds = €2.40 * £0.85 = £2.04
Delivery cost in pounds = €0.80 * £0.85 = £0.68
Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72
Comparing the total costs:
British website: £3.60
French website: £2.72
Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.
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A ____________________number can be expresses as a/b where a and b are integers and b does not equal 0.
Answer:
Rational Number
Step-by-step explanation:
A rational number : A number that can be in the form of
q /p , where p and q are integers and q is not equal to zero.
Answer:
A rational number : A number that can be in the form of p/q, where p and q are integers and q is not equal to zero
Step-by-step explanation:
Plz Mark me as brainliest
Answer number 4 please thank you.
Answer:
See below
Step-by-step explanation:
A) B intersection C = {6,12} <===== the elements common to both
B) B union C = { 2 3 4 6 8 9 10 12 ) <== all the elements from both
C ) { } { 6} { 12 } { 6,12} <===== Four
HELPPPPPPP
For each graph below, state whether it represents a function.
Answer:
No, No, Yes, No, Yes, Yes
Step-by-step explanation:
A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).
This is because for a function, each input must map onto no more than one output.
Use mathematical induction to show that when n is an exact power of 2, the solution of the recurrence
T(n)={2if n=22T(n/2)+nif n=2k, for k>1is t(n)=nlgn
By mathematical induction, T(n) = nlog(n) for all n that are exact powers of 2.
We will prove by mathematical induction that T(n) = nlog(n) for all n that are exact powers of 2.
Base case: For n = 2, we have T(2) = 2 as given.
Inductive hypothesis: Assume that T(\(2^k\)) = \(2^k\) × log(\(2^k\)) for some positive integer k.
Inductive step: We need to show that T(\(2^{(k+1)}\)) = \(2^{(k+1)}\) × log(\(2^{(k+1)}\)).
Using the recurrence relation, we have:
T(\(2^{(k+1)}\)) = 2T(\(2^k\)) + \(2^{(k+1)}\)
Substituting T(\(2^k\)) = \(2^k\) × log(\(2^k\)) from the inductive hypothesis, we get:
T(\(2^{(k+1)}\)) = 2(\(2^k\) × log(\(2^k\))) + \(2^{(k+1)}\)
= \(2^{(k+1)}\) × k × log(2) + \(2^{(k+1)}\)
= \(2^{(k+1)}\) × (k+1)
= \(2^{(k+1)}\) × log(\(2^{(k+1)}\))
For every n that are precise powers of 2, T(n) = nlog(n) is the result of mathematical induction.
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7+5-3*2(6*7)/4
• convert the above specified infix expression into
postfix expression
• Evaluate the resulted postfix expression
• convert the specified infix expression into prefix
expres
The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".
To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.
The postfix expression for the given infix expression is:
"7 5 + 3 2 * 6 7 * 2 * - 4 /"
To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.
Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.
We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.
To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.
The prefix expression for the given infix expression is:
"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"
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HOW DO I DO A VERBAL EXPLANATION FOR QUESTION B? PLEASE HELP ME
The simplest form of the surd is 11√7 - 2√5
The simplest form of the surd is 6√3
How do you simplify a surd?The goal of simplifying a surd is to eliminate all perfect square components from the surd in order to simplify the equation found beneath the square root () symbol.
You have transformed the expression under the square root into a simpler form by simplifying the surd. It's crucial to remember that not all surds can be made simpler. Some surds, like √7 and √13, cannot be further simplified since they include no perfect square components.
We have that;
3√7 + 4√28 - √20
3√7 + 4(2√7) - 2√5
3√7 + 8√7 - 2√5
11√7 - 2√5
2) √27 - √12 + √75
3√3 - 2√3 + 5√3
6√3
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Can y’all help me and solve for x
and I’m not sure if my answer is right
A laboratory test for the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease. The test gives negative results 0.3 percent of the time for people who have the disease.
Large-scale studies have shown that the disease occurs in about 2 percent of the population. What is the probability that a person selected at random would test positive for this disease?
Note that the probability that a person selected at random would test positive for this disease is 0.06894.
What is the rationale for the above answer?
We are given that the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease.
This means:
P(positive results | do not have disease) = 0.05
We also know that the test gives a negative result 0.3 percent of the time for people who have the disease. What this means is that the test gives a positive result 99.7 percent of the time for people who have the disease.
Thus,
P(positive results | have disease) = 0.997;
Then, we know that
large-scale studies have shown that the disease occurs in about 2 percent of the population. That is P(have disease) = 0.02, P(do not have disease) = 0.98
Thus, the probability that a person selected randomly would test positive is:
P(positive results) = P( Positive results ∩ have disease) + P(Positive results ∩ do not have disease)
= P(have disease) P (Positve results | have disease) + P(do not have disease) P(Positive results) | do not have disease)
= (0.02 x 0.0997) + (0.98 x 0.05)
= 0.06894
Thus, it is right to state that the likelihood that a person selected at random would test positive for this disease is 0.06894.
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The following table contains the rate of commission, number of items sold,
and cost of each item for four different salespeople.
Salesperson
Rate of
commision
Number of
items sold
Cost of
each item
Felix
7.25%
9
$60
Helen
7.50%
12
$50
Reid
8.25%
10
$40
Sidney
7.75%
6
$90
Assuming that each salesperson earned commission on all items he or she
sold, who earned the most in commission?
Answer:
Helen
Step-by-step explanation:
Just did test
Both Felix and Sidney earned the same amount of commission, which is $39.15.
Helen earned the most commission, which is $45.00.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the commission earned by each salesperson, we need to multiply the rate of commission by the total sales amount.
The total sales amount is the product of the number of items sold and the cost of each item.
For Felix:
Commission = (Rate of commission) x (Total sales amount)
= 7.25% x (9 x $60)
= $39.15
For Helen:
Commission = (Rate of commission) x (Total sales amount)
= 7.50% x (12 x $50)
= $45.00
For Reid:
Commission = (Rate of commission) x (Total sales amount)
= 8.25% x (10 x $40)
= $33.00
For Sidney:
Commission = (Rate of commission) x (Total sales amount)
= 7.75% x (6 x $90)
= $39.15
Therefore,
Both Felix and Sidney earned the same amount of commission, which is $39.15.
Helen earned the most commission, which is $45.00.
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Which step is needed to finish the equivalent expression?
5m-m+7-m-4=
5m-m-m+7-4=
(5-1-1) m+ 3 =
O Use the addition property to simplify the terms inside the parentheses.
Use the associative property to simplify the terms in the parentheses.
Use the commutative property to simplify the terms in the parentheses.
Use the distributive property to simplify the terms in the parentheses.
PLZ help I will give brainliest
Answer:
A
Step-by-step explanation:
did it on edge
Answer:
Step-by-step explanation:
Please help me out
Fill in the blanks for this graph
1. This graph crosses the y-axis at______
2. The graph increases in the interval_____
3. The graph decreases in the interval____
Answer:
1 -5
don't know the answer of q2 and q3
Select the correct answer.
what is this expression in simplified form?
(8v10) (815)
The expression (8v10) (815) simplifies to 6520v10 solved by using indicated multiplication.
To simplify the expression (8v10) (815), we need to perform the indicated multiplication.
First, let's simplify the expression within the first parentheses, (8v10):
v represents the square root (√) symbol. So, we have:
8v10 = 8√10
Now, let's simplify the expression within the second parentheses, (815):
815 is already in its simplest form.
Next, we multiply the two simplified expressions together:
(8√10) (815) = 8√10 × 815
To calculate this product, we multiply the numbers outside the square root and then multiply the numbers inside the square root:
8 × 815 = 6520
√10 remains as it is.
Finally, combining the results, we have the simplified form:
(8v10) (815) = 6520v10
The expression (8v10) (815) simplifies to 6520v10.
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What is a1 if a6 = 35 and a9 = 8
Answer:
the answer is 80
Step-by-step explanation:
it wrote the problem down on paper and did the math and i got 80
The following data represent the results from an independent-measures experiment comparing three treatment conditions. Use SPSS to conduct an analysis of variance with a 0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. Treatment A Treatment 8 Treatment C 6 9 12 4 4 10 6 5 8 4 6 11 5 6 9 Fratio= p-value= Conclusion: These data do not provide evidence of a difference between the treatments There is a significant difference between treatments Progress saved Done i Song O OD o not provide evidence of a difference between the treatments There is a significant difference between treatments The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample. Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above? Treatment B Treatment C Treatment A 6 9 9. 4 4 7 6 5 5 4 6 8 5 6 6 F-ratio= p-value= Conclusion: There is a significant difference between treatments These data do not provide evidence of a difference between the treatments
We can conclude that the results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means.
How to explain the hypothesisGiven that Treatment A B C
Mean 7.33 6.33 7.67
SD 2.236 1.732 2.646
F-ratio 3.33
p-value 0.075
Conclusion These data do not provide evidence of a difference between treatments.
The F-ratio for the new data will be lower than the F-ratio for the original data. This is because the difference between the means of the three treatments has been reduced. When the difference between the means is smaller, the F-ratio will be smaller.
The F-ratio for the new data is not significant, which means that there is not enough evidence to conclude that there is a difference between the treatments. The p-value of 0.075 is greater than the alpha level of 0.05, so we cannot reject the null hypothesis.
Therefore, we conclude that the results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means.
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A
As the side length increases by 1, the area does not increase or decrease by an equal amount.
B
As the side length increases by 1, the area increases and then decreases by an equal amount. The area increases and then decreases by an equal factor.
C
As the side length increases by 1, the area does not change.
D
As the side length increases by 1, the area increases and then decreases by an equal factor
The sοlutiοn οf the given prοblem οf area cοmes οut tο be the side length rises by 1, the area grοws and then shrinks by an equal factοr.
What precisely is an area?Calculating hοw much space wοuld be needed tο fully cοver the οutside will reveal its οverall size. When determining the surface οf such a trapezοidal fοrm, the surrοundings are additiοnally taken intο accοunt. The surface area οf sοmething determines its οverall dimensiοns. The number οf edges here between cubοid's fοur trapezοidal extremities determines hοw much water it can hοld inside.
Here,
Optiοn B
The area grοws initially and then decreases by an amοunt equivalent tο the side length multiplied by 1. The area grοws befοre decreasing by an equivalent amοunt.
This is the case because a square's surface and side length are inversely prοpοrtiοnal. Where r is the οriginal side length, the area grοws by a factοr οf (1 + 2r + r2) as the side length rises by 1.
When r is big, hοwever, the term r2 dοminates and the area increase is less nοticeable.
Eventually, as r gets clοser tο infinite, the area increases οnly marginally and eventually reaches a limit.
As a result, as the side length rises by 1, the area grοws and then shrinks by an equal factοr.
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Complete question:
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
A.) 18 inches
B.) 9 inches
C.) 6 inches
D.) 12 inches
Answer:
12 INCHES
Step-by-step explanation:
lol
also might have to do with the ratio tho......but i forgot
Answer:
I think the answer is "D" 12 inches
Step-by-step explanation:
I think this because on the right it says 12 inches and the left and the right look like the same length. Hope this helped and if it's wrong I'm so sorry.
State whether the following function is linear, exponential, or neither.
The function in which the table is provided is an exponential function because it generates a growing curve.
Understanding Exponential FunctionThe exponential function is a mathematical function of the form:
f(x) = \(a^{x}\),
where:
a is the base constant
x is the variable.
In this function, the base, a, is a positive real number and is typically greater than 1, although it can also be between 0 and 1.
Properties
Exponential Growth: When the base, a, is greater than 1, the function exhibits exponential growth.
That is, as "x" increases, the function values increase at an increasingly rapid rate.
Exponential Decay: When the base, a, is between 0 and 1, the function exhibits exponential decay.
That is, as "x" increases, the function values decrease, approaching zero but never actually reaching it.
Constant Base: If the base "a" is equal to 1, the exponential function becomes f(x) = \(1^{x}\) = 1, resulting in a constant function.
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What is ANOVA in simple terms?
Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.
ANOVA is a statistical analysis technique that divides systematic components from random factors to account for the observed aggregate variability within a data set. The presented data set is statistically affected by systematic factors but not by random ones. The ANOVA test is used by analysts to evaluate the impact of independent factors on the dependent variable in a regression analysis.
Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.
A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
If no true variance exists between the groups, the ANOVA's F-ratio should equal close to 1.
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Kevin travels 30 miles downstream in three hours. Against the current
the return trip took 15 hours. Using systems of linear equations, find Kevin’s rate and the rate of the
current.
Kevin's rate is 6 miles per hour and the rate of the current is 4 miles per hour.
What is rate?
Let's call Kevin's rate (or speed) "k" and the rate of the current "c".
When Kevin is traveling downstream, his effective speed is the sum of his own speed and the speed of the current, so his effective speed can be written as:
k + c
We know that he travels 30 miles downstream in 3 hours, so we can write an equation:
30 = 3(k + c)
When Kevin is traveling upstream (against the current), his effective speed is the difference between his own speed and the speed of the current, so his effective speed can be written as:
k - c
We know that the return trip took 15 hours, so we can write another equation:
30 = 15(k - c)
Now we have two equations with two unknowns, which we can solve as a system of linear equations.
First, we can simplify the second equation by dividing both sides by 15:
2 = k - c
Now we have a system of two equations:
30 = 3(k + c)
2 = k - c
We can solve this system using substitution or elimination. Let's use substitution:
From the second equation, we can solve for k:
k = 2 + c
Substitute this expression for k into the first equation:
30 = 3(2 + c + c)
Simplify:
30 = 6 + 6c
Subtract 6 from both sides:
24 = 6c
Divide by 6:
c = 4
Now we can substitute this value of c into either equation to solve for k. Let's use the second equation:
2 = k - c
Substitute c = 4:
2 = k - 4
Add 4 to both sides:
k = 6
So Kevin's rate is 6 miles per hour and the rate of the current is 4 miles per hour.
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hurry i need help with this i don’t know what to write
The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
What is the AAS Congruence TheoremThe AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.
By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.
In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
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$400 is invested in an account earning 4.7% interest (APR), compounded daily. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
The function that shows the value of the account after tt years is FV = 400 x (1.0001)^365tt.
What is the future value of the account?
The formula for calculating future value:
FV = P (1 + r) nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsFV = 400 x (1.0001)^365tt
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What is the area of this?
Answer:
Step-by-step explanation:
\(A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2\)
Answer:
150 ft
Step-by-step explanation:
You use Pythagoras theorem to work out the base of the triangle.
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