Answer: No it's not possible to form a triangle
Why not? Because the shorter sides 2 ft and 3 ft don't add to a result longer than 7 ft
2+3 = 5
For a triangle to be possible, the sum of any two sides must be larger than the third side. Refer to the triangle inequality theorem.
Use the Pythagorean Theorem to confirm the three sides of a right triangle.
3. a = 5, b = 12,c = 13
4. a = 4, b = 10,0 = 20
Answer:
3) confirmed right triangle
4) not a right triangle
Step-by-step explanation:
3) 5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169
4) 4^2 + 10^2 = 20^2
16 + 100 = 400
116 does not equal 400
What is the length of side AB
Answer:
5 units
Step-by-step explanation:
Using the distance formula:
\(AB=\sqrt{(-3-(-8))^2+(-6-(-6))^2}=\sqrt{5^2}=5\)
Hope this helps!
Write a compound interest formula for finding A,the amount in an account that earns interest compounded annually after t years, where Pis the principal and ris the annual interest rate expressed as a decimal.
Answer:
171
Step-by-step explanation:
it is 171
What is the value of -2 1/6 -1 1/4 + 1 3/4
a. -1 2/3
b. -1 1/3
c. 2 1/3
d. 2 2/3
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, find each missing measure. fm=?
If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.
What is the centroid ?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
How do you find the centroid of a triangle with 3 points?Step 1: Identify each vertex's coordinates.
Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.
Step 3: Add together all the y values from the three vertices and divide the result by three.
Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.
the ratio of both segments is 2:1.
where;
am = 44 and dm = 23
the longer segment is double of shorter one:
2*23 = 46.
Therefore,
fm = 46-23
= <<23=23>>23
now finding ce:
= 2*44
= 88, so
ce measures
= 88-44
=44.
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24) IF area of quadrant of a circle is
38.5 sq.cm then diameter is *
O 7cm
O 14 cm
0 21 cm
O None of these
Answer:
none of these
Step-by-step explanation:
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
\(a_{n}\) = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
suppose that a family has 4 children.? also, suppose that the probability of having a girl is one half. find the probability that the family has no more than 3 boys.
The probability that a family with 4 children has no more than 3 boys is 15/16.
To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.
The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.
Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴
= 15/16
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find the area of the parallelogram. the figure is not drawn to scale 44 38 35
The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.
To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:
Area = side1 * side2 * sin(angle)
Plugging in the values, we have:
Area = 44 * 38 * sin(35 degrees)
To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.
Area = 44 * 38 * sin(0.610865)
Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.
Area = 44 * 38 * 0.5815
≈ 1008.77 square units
Therefore, the area of the parallelogram is approximately 1,008.77 square units.
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Hi children pls find the area of this shape answer will get brainliest
Answer.
Answer is 9
Step-by-step explanation:
Multiply height by with.
1,1x8,1
then do whatever that equals times 2,5 and you should get your answer.
Nolan drops a ball from a certain height and allows the ball to bounce. The rebound height can be modeled by the function f(x) = 12(1/3)x. What is the initial height?
Therefore , the solution of the given problem of function comes out to be Nolan dropped the ball from a height of 12 units at the beginning.
What is meant by the word function?The study of mathematics includes numbers, symbols, and their parts, as well as anatomy, building, and both actual and hypothetical geographic locations. The relationships between different components, each of which has a corresponding result, are described by a function. A function is made up of a variable of distinct components that, when put together, produce specific results for each input.
Here,
Assume that h represents the original height at which Nolan threw the ball. The object bounces once and rises to a height of 4, so after the bounce it has a height of h + 4.
=> h = k f(1) (1)
where k is a constant that denotes how much energy the object retains after each bounce.
=> h = k(4) (4)
The knowledge that the ball returns to a height of 4 on the first bounce must be used to determine the value of k:
=> 4 = k f(1) (1)
=> 4 = k (4/3)
=> k = 3
When we put this number of k back into the equation as a replacement for h, we get:
=> h = k(4) = 3(4) = 12
Nolan dropped the ball from a height of 12 units at the beginning.
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if there are a few very small values in a data set compared to the rest of the data, the mean will be larger than the median. True/False ?
The given statement would be False.
What is Mean and Median ?
Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.
If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.
The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.
Therefore, The given statement would be False.
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Midpoint Between Two Given Points
Find the midpoint of the line segment with the endpoints
(-4, -9) and (6, -5).
Midpoint =
Answer:
(1, -7)
Step-by-step explanation:
the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1
you do the same for -9 and -5, the midpoint for those being -7, I hope this helps
Michelle has half of her investments in a stock paying 9% dividend and the other half in a stock paying 11% interest if her total annual interest is 430 how much does she have invested?
Let the amount he invested at 9% = x
Let the amount he invested at 11% = y
He invested the same amount in both stocks, so x=y
Interest(i)=principle(p)*rate(r)*time(t), but unless they specify that the time is different than one, i=p*r.
So the amount of interest he gets at 9%= 0.09x
The amount of interest he gets at 11% = 0.11y
Add the two together and your interest is=430
Therefore your system of linear equations is:
x=y
0.09x + 0.11y=430
----------------Substitute the first equation into the second and you have:
0.09x+0.11(x)=430
0.2x=430
0.2x/0.2=430/0.2
x = $2,150 (the amount he invested at 9%)
y=x so y=$2,150 (the amount he invested at 11%)
Add the two investments together to find out how much he invested all together:
$2,150+$2,150 = $4,300 is the amount he has invested altogether.
Therefore the amount he invested on each are $2150 and $2150, while the total investment altogether = $4300
A jewelry store is selling a set of 4 pairs of gemstone earrings for $58, including tax. Neva and three of her friends want to buy the set so each could have one pair of earrings. Write a multiplication equation to find how much each person should pay.
Answer:
183
Step-by-step explanation:
tax would bring it up about 2/3 dollars
Brainliest pls
A farmer sells 7.1 kilograms of apples and pears at the farmers market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmers market?
answer:
4.6 kilograms of pears
question:
I don't know if you meant 2.5 or 25 but ill assume you meant 2.5
PLEASE HELP I DON'T UNDERSTAND
Simplify by adding like terms. Write the answer with all exponents positive
Answer:
Step-by-step explanation:
\(\dfrac{3m^{-1}y^{2}}{m^{-2}}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{my^{2}}{m^{-1}x^{2}}\\\\=3m^{-1-[-2]}y^{2} - \dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{1-[-1]}y^{2}}{x^{2}}\\\\=3m^{-1+2}y^{2}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{1+1}y^{2}}{x^{2}}\\\\=3my^{2}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{2}y^{2}}{x^{2}}\\\\=3my^{2}-\dfrac{4m^{2}y^{2}}{x^{2}}\)
PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:
Answer:
horizontal line: y=-4
vertical line: x=-3
Step-by-step explanation:
This one is simple. all you need to do is look at the x and y in the ordered pair.
Horizontal goes left and right so it's for y
Vertical goes up and down so it's for x
let me know if you need more explaining :)
find a power series representation for the function f(x)=x/(1+4x)^2
the power series representation for f(x) is:
f(x) = ∑((-1)^n * 4^n * x^(n+1)), n=0 to infinity.
To find the power series representation of f(x), we will use the geometric series formula:
1 / (1 + t) = 1 - t + t^2 - t^3 + ...
We start by factoring the denominator of f(x):
f(x) = x / (1+4x)^2 = x / (1 + 8x + 16x^2)
We can rewrite the denominator as:
1 + 8x + 16x^2 = (1 + 2(2x))^2
Using this, we can write:
f(x) = x / (1 + 2(2x))^2
We can now substitute t = -2x into the geometric series formula to get:
1 / (1 + (-2x)) = 1 + (-2x) + (-2x)^2 + (-2x)^3 + ...
Substituting t = -2x into the formula gives:
f(x) = x / (1 + 2(2x))^2 = x / (1 + (-2x))^2 = x (1 + (-2x) + (-2x)^2 + (-2x)^3 + ...)^2
We need to square the series because the denominator is squared. Simplifying, we get:
f(x) = x (1 - 4x + 4x^2 - 4x^3 + ...) = x - 4x^2 + 4x^3 - 4x^4 + ...
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What is 9.4 divide. By 4 equal
Answer:2.35
Step-by-step explanation:
The value of the expression is 2.35.
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,
9.4 ÷ 4
= 9.4/4
= 94/(10 x 4)
= 94/40
= 2.35
Thus,
The value of the expression is 2.35.
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which of the following is the reciprocal of 5
Answer:
C
Step-by-step explanation:
The reciprocal is always the number flipped over.
E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9
Answer:
C. 1/5
Step-by-step explanation:
Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease
To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.
1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.
2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.
3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.
4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.
Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.
Find the scale factor of the dilation
Answer:
The scale factor is 1/2
Step-by-step explanation:
The coordinates of Point G are (4,6) and the coordinates of Point G' are (2,3). To get from 4 to 2 and 6 to 3, you have to multiply by 1/2. Therefore, the scale factor is 1/2.
I need help with number 42 please
Answer:
yes, it’s proportional
Step-by-step explanation:
Problem 8: [15 pts] Solve the following IVP using Laplace transform y"-4y' + 3y = 0, y(0) = 1, y'(0) = 2
The solution to the given initial value problem (IVP) using Laplace transform is y(t) = e^t + e^(3t).
To solve the IVP using Laplace transform, we first take the Laplace transform of the given differential equation and apply the initial conditions.
Applying the Laplace transform to the differential equation y"-4y' + 3y = 0, we get s²Y(s) - sy(0) - y'(0) - 4(sY(s) - y(0)) + 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t).
Using the initial conditions y(0) = 1 and y'(0) = 2, we substitute the values into the equation above. This yields the equation s²Y(s) - s - 2 - 4(sY(s) - 1) + 3Y(s) = 0.
Simplifying the equation, we obtain (s² - 4s + 3)Y(s) = s + 2 + 4.
Solving for Y(s), we have Y(s) = (s + 6) / (s² - 4s + 3).
Using partial fraction decomposition, we can express Y(s) as Y(s) = A / (s - 1) + B / (s - 3).
Solving for A and B, we find A = 3 and B = -2.
Therefore, Y(s) = 3 / (s - 1) - 2 / (s - 3).
Applying the inverse Laplace transform, we obtain y(t) = e^t + e^(3t).
Thus, the solution to the given IVP is y(t) = e^t + e^(3t).
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What is the product of `4` and `-2x + 3`?
9514 1404 393
Answer:
-8x +12
Step-by-step explanation:
The distributive property can help you simplify the product.
(4)(-2x +3) = (4)(-2x) +(4)(3) = -8x +12
The table below shows the cost for different numbers of tickets.
Based on the information in the table, which of the following statements is true?
Answer:
D
Step-by-step explanation: It's not going up by 6 or 2, and it's not going down in numbers, so D
What’s an algaberic expression for 7 more than a number p
Answer:
Step-by-step explanation:
Writing Algebraic Expressions
Writing Algebraic Expressions
Group workProblem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.
Solution: Let g represent the number of groups in Ms. Jensen's class.
Then 2 · g, or 2g can represent "g groups of 2 students".
In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.
Example 1: Write each phrase as a mathematical expression.
Phrase Expression
the sum of nine and eight 9 + 8
the sum of nine and a number x 9 + x
The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.
Example 2: Write each phrase as an algebraic expression.
Phrase Expression
nine increased by a number x 9 + x
fourteen decreased by a number p 14 - p
seven less than a number t t - 7
the product of 9 and a number n 9 · n or 9n
thirty-two divided by a number y 32 ÷ y or
In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.
Example 3: Write each phrase as an algebraic expression using the variable n.
Phrase Expression
five more than twice a number 2n + 5
the product of a number and 6 6n
seven divided by twice a number 7 ÷ 2n or
three times a number decreased by 11 3n - 11
bonusExample 4: A small company has $1000 to distribute to its employees as a bonus. How much money will each employee get?
Solution: Let e represent the number of employees in the company. The amount of money each employee will get is represented by the following algebraic expression:
electricianExample 5: An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.
Solution: Let x represent the number of hours the electrician works in one day. The electrician's earnings can be represented by the following algebraic expression:
Solution: 45x - 20
Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please
Answer:
200 box 1 / 400 box 2
box 2 Step-by-step explanation:
200 + 400 = 600
Answer:
Hello asuna here
600 would be your answer
Step-by-step explanation:
Hope this helps