Answer:
3. obtuse
4.acute
Step-by-step explanation:
What is the question?
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate y
5y = 20
y = 4
Step 6: Find x
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answer:
(23,4)
Step-by-step explanation:
x-5y=3
+5y=+5y
x=3+5y
-- Plug that into X for the other Equation
2(3+5y)-5y=26
Solve for y
2(3+5y)-5y=26
Distribute the 2
6+10y-5y=26
Simplify
6+5y=26
-6 =-6
5y=20
(divide by 5)
y=4
plug 4 in the either equation and solve for x
x-5(4)=3
x-20=3
+20=*20
X=23
5/4x - 1/9 = 6x solve for x
Answer:
-0.53
Step-by-step explanation:
5/4 *x -1/9 = 6x
-1/9 = (6-5/4) x
x = -4.75/9
x=-0.53
How to add fractions with unlike denominators step by step?.
To add fractions with unlike denominators, follow these steps: find a common denominator, convert the fractions to have the common denominator, add the numerators, simplify (if necessary), and convert to a mixed number or decimal if desired.
Adding fractions with unlike denominators requires finding a common base for both fractions. This common denominator ensures that the fractions can be added together. Once the fractions have the same denominator, add the numerators together while keeping the denominator unchanged. Simplify the resulting fraction if possible by dividing both the numerator and denominator by their greatest common divisor. Finally, you can choose to express the fraction as a mixed number (whole number and proper fraction) or a decimal, depending on the preferred form of the result.
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There are 20 triangles and 4 circles. What is the simplest ratio of circles to total shapes?
PLS HURRY HELP
Answer:
Im pretty sure its 5
Step-by-step explanation:
5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.
Answer:
5 triangles to 4 circles.
How do you solve these two problems please explain step by step
Answer:
1) \(x=15, y=41\)
2) \(x=6, y=24\)
Step-by-step explanation:
1)
The two triangles are similar by AA similarity.
That means \(5x-5=4x+10\).
We can add \(5\) to both sides to get \(5x=4x+15\).
We can then subtract \(4x\) from both sides to get \(x=15\).
We know that the \((5x-5)+(6y-4)=180\) because they both lie on a straight line.
We can plug in for \(x\) to get \((5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180\).
We can divide both sides of the equation by \(6\) to get \(y-11=30\).
We then add \(11\) to both sides to get \(y=41\).
So, \(\boxed{x=15, y=41}\) and we're done!
2)
Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to \(180^{\circ}\), we have that \(90+3y+18=180\).
We can subtract a \(90\) and an \(18\) from both sides to get \(3y=72\).
We then divide both sides of the equation by \(3\) to get \(y=24\).
We do the same thing for \(x\). On the other side of the trapezoid, we have that \(15x+30+10x=180\).
We combine like terms on the left side to get \(25x+30=180\).
We subtract a \(30\) from both sides to get \(25x=150\).
We divide both sides of the equation to get \(x=6\).
So, \(\boxed{x=6, y=24}\) and we're done!
PLEASE HELP WITH THIS PLEASE
Gia is making frittata using 7/8 cup of vegetables for every 1/3 cup of cheese.she wants to know the amount of vegetables she uses per cup of cheese
Answer: 21/8 or 2 and 5/8
Step-by-step explanation:
Select all of the following true statements if r=real numbers, n= natural numbers, and w={0, 1, 2,...}.
Answer:
Step-by-step explanation:
choices:
W c Z
R c W
0 E Z
∅ c R
{0, 1, 2, ...} c_ W
-2 E W
Order the values from least to greatest.| -4.3= 4.6= 2.7-35III(1.21
To order the values from least to greatest, we must take into account some important rules, for example.
1.a whole number is greater than a decimal number
2. The greater the decimal number that has more in its integer part.
3.The number placed furthest to the right of the number line is greater. For example +2 is greater than -1. -2 is greater than -3
Now taking into account these rules, we are going to order the numbers given in the exercise from lowest to highest;
-35
-4.3
1.21
2.7
III ;which is equal to 3 integers
4.6
If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
A spherical hot-air balloon has a diameter of 55 feet. when the balloon is inflated, the radius increases at a rate of 1.5 feet per minute. approximately how long does it take to inflate the balloon to two-thirds of its maximum volume? use π = 3.14 and v = four-thirds pi r cubed. 16 minutes 18 minutes 23 minutes 26 minutes
Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.
Given the diameter of the balloon = 55 ft
Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft
Rate of change of radius = 1.5 ft/min.
The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)
= 87069.583 \(ft^3\)
Two- thirds of the volume = (2/3) x 87069.583 = 58046.389 \(ft^3\)
Let R be the radius of the balloon with two-thirds of its maximum volume.
Then, \(\frac{4}{3}\pi R^3\) = 58046.389
⇒ \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583
⇒ \(R=13864.583^\frac{1}{3}\)
⇒ R = 24.023 ft
Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.
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Answer:
A) 16 minutes
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Mrs. Gohkle read 19 of her 36 new e-mails. How many new e-mails does she have left to read?
17
23
55
71
Help please due in 30 minutessssss
Answer:
Y is less than or equal to 2/5x+1
Answer:
it is 100% b
Step-by-step explanation:
Sterling’s records show the work in process inventory had a beginning balance of $1,461 and an ending balance of $3,249. How much direct labor was incurred if the records also show:
Materials used $1,700
Overhead applied $1,363
Cost of goods manufactured $5,264
Logo Gear purchased $3,156 worth of merchandise during the month, and its monthly income statement shows cost of goods sold of $2,042. What was the beginning inventory if the ending inventory was $2,677?
Inventory or stock alludes to the merchandise and materials that a business holds for a definitive objective of resale, creation or use. The values are $ 3,989 and $ 1,563.
Any and all items, goods, merchandise, and materials held by a company for eventual market sale to generate revenue are referred to as "inventory." The primary purpose of inventory is to maximize return on investment and increase profitability by utilizing marketing and production.
Given that,
Beginning work in process = $1,461
Ending work in process = $3,249
Materials used $1,700
Overhead applied $1,363
Cost of goods manufactured $5,264
Direct labor:
= Cost of goods + Ending work in process - Beginning work in process - Material - Overhead
= 5264+3249-1461-1700-1363
= $ 3,989.
Given for logo gear:
Sales (COGS) + Ending Inventory -Purchases = beginning inventory.
= 2042+2677-3156 =$1,563
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bash is inherently incapable of floating-point arithmetic; this is why we utilize external utilities. true false
The statement "Bash is inherently incapable of floating-point arithmetic, which is why external utilities are utilized." is true.
Bash, as a shell scripting language, primarily deals with integer arithmetic and string manipulation. It does not have built-in support for floating-point arithmetic, making it difficult to perform calculations with decimal numbers. To overcome this limitation, external utilities like 'bc' (Basic Calculator) or 'awk' are often used.
These utilities provide a more versatile way to perform mathematical operations involving floating-point numbers. By utilizing these external tools, Bash scripts can be enhanced to include more complex calculations and data manipulation, expanding their capabilities beyond simple integer operations.
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Let X be an exponential random variable with a given parameter λ. Show (mathematically) that for any nonnegative t1, t2 the following expression is true: P(Xt1) = P(X
(Hint: use the standard formulas for exponential distribution and conditional probability.) This fact is often referred to as the "lack of memory" property of the exponential distribution. Give an
example of a practical interpretation of this fact.
we have shown mathematically that for any nonnegative values t1 and t2, P(X > t1 + t2 | X > t1) = P(X > t2), which demonstrates the "lack of memory" property of the exponential distribution.
To prove the "lack of memory" property of the exponential distribution, we need to show that for any nonnegative values t1 and t2, the following expression is true:
P(X > t1 + t2 | X > t1) = P(X > t2)
Let's start by using the definition of conditional probability:
P(A | B) = P(A ∩ B) / P(B)
In this case, we have A: X > t1 + t2 and B: X > t1. We want to find P(A | B), which is the probability that X is greater than t1 + t2 given that it is greater than t1.
We can rewrite the conditional probability as:
P(X > t1 + t2 | X > t1) = P(X > t1 + t2 and X > t1) / P(X > t1)
Since X is a continuous random variable, we can express these probabilities using the cumulative distribution function (CDF) of the exponential distribution.
P(X > t1 + t2 | X > t1) = [1 - F(t1 + t2)] / [1 - F(t1)]
where F(t) is the CDF of the exponential distribution with parameter λ.
The CDF of the exponential distribution is given by:
F(t) = 1 - e^(-λt)
Substituting this into the equation, we have:
P(X > t1 + t2 | X > t1) = [1 - (1 - e^(-λ(t1 + t2)))] / [1 - (1 - e^(-λt1))]
Simplifying, we get:
P(X > t1 + t2 | X > t1) = e^(-λ(t1 + t2)) / e^(-λt1)
Using the properties of exponents, we can rewrite this as:
P(X > t1 + t2 | X > t1) = e^(-λt2)
which is equivalent to:
P(X > t2)
Practical interpretation:
The "lack of memory" property of the exponential distribution means that the distribution does not remember its past. In practical terms, it implies that the probability of an event occurring after a certain amount of time does not depend on how much time has already passed. For example, if X represents the time until a light bulb fails, and X follows an exponential distribution, then the probability that the light bulb will fail in the next hour is the same regardless of how long the light bulb has already been in use.
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richard gets an average of 17 calls during his 8 hour work day. in order to find the probability that richard will get at most 5 calls in a 2 hour portion of his work day using the poisson distribution, what does the random variable x represent?
Richard gets an average of 17 calls during his 8 hour work day. in order to find the probability that richard will get at most 5 calls in a 2 hour portion of his work day using the poisson distribution,The probability that Richard will receive at most 5 calls in a 2-hour portion of his work day is approximately 0.092.
In this scenario, the random variable X represents the number of calls that Richard receives during a 2-hour portion of his 8-hour work day.
The Poisson distribution is commonly used to model the probability of a certain number of rare events occurring in a fixed interval of time or space. In this case, we can use the Poisson distribution to model the number of calls that Richard receives in a 2-hour period, given that we know the average number of calls he receives in an 8-hour work day.
The Poisson distribution has a single parameter, λ, which represents the average rate at which the rare events occur. In this case, λ = 17/8 = 2.125, since Richard receives an average of 17 calls in an 8-hour work day.
To find the probability that Richard will receive at most 5 calls in a 2-hour portion of his work day, we can use the Poisson probability mass function (PMF), which gives the probability of observing k events in a given time interval, given the average rate λ. The PMF is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
where k is the number of events, λ is the average rate, and e is the mathematical constant approximately equal to 2.71828.
So in this case, we want to find the probability that X ≤ 5, i.e., the probability that Richard will receive 0, 1, 2, 3, 4, or 5 calls in a 2-hour portion of his work day. We can use the cumulative distribution function (CDF) of the Poisson distribution to find this probability:
P(X ≤ 5) = Σ(k=0 to 5) P(X = k)
where Σ is the summation symbol.
Plugging in the values, we get:
P(X ≤ 5) = Σ(k=0 to 5) (e^(-λ) * λ^k) / k! = (e^(-2.125) * 2.125^0 / 0!) + (e^(-2.125) * 2.125^1 / 1!) + (e^(-2.125) * 2.125^2 / 2!) + (e^(-2.125) * 2.125^3 / 3!) + (e^(-2.125) * 2.125^4 / 4!) + (e^(-2.125) * 2.125^5 / 5!) ≈ 0.092
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Find the least number which added to 3597 will make it a perfect square?
Answer:
3
Step-by-step explanation:
when 3 is added 3597 becomes 3600 which is square of 60
The center of the incan civilization was found closest to what number? question 3 options: 1 2 3 4
The number three was closest to the Incan civilization's epicenter. C is the best answer since Cusco functioned as the political, military, and administrative hub of the empire. Around the beginning of the 13th century, the Inca civilization evolved in the Peruvian highlands.
What is the Inca Empire's most well-known historical city?Archaeologists now think Pachacuti, the Inca monarch, used Machu Picchu as a private estate (1438–1472). It is sometimes referred to as the "Lost City of the Incas" and is the most well-known representation of the Inca civilisation. The Incas founded Cuzco, Peru, as their capital in the 12th century. They started their conquests in the early 15th century, and within a century, they had 12 million Andeans under their rule.The great Incan Empire was established in Cusco, Peru. Learn about the history, legends, and historical sites of the Inca dynasty. The names Cusco, Cuzco, and Qosqo have all been used to refer to this former Incan capital. Thus, option C is the best choice.
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Can U pls help me on this question
Answer:
25
Step-by-step explanation:
they are alternative exterior angles meaning they are equal.so you can solve by doing
7x-40=5x+10
isolate the terms by adding like terms. ( add 40 from the left side of the equation to the right.)
so it would look like this.
7x=5x+10+40. (the 40 was negative on the left side so you have to do the inverse to move it) do the same with the 5x.
now you have
2x=50. divide 50 by 2 to get your final answer .
Can you do 11 12 and 13 please?
Answer:
11.3x=33(vertically opposite angle)
x=33/3=11
12.117=4x-11(vertically opposite angle)
117+11=4x
x=128/4=32
13.4x-7+x+16=68(given)
5x=68+7-16
5x=59
x=59/5
ASAPP!!! Pls help meee :((
Answer:
H
Step-by-step explanation:
None of them share the same X
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 to describe the relationship.
In the given equation r = 2/5 t "r" is the dependent variable.
Dependent variables:In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.
An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.
A dependent variable is a variable whose value depends on the value of one or more other variables in the equation
Here we have
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups.
She writes the equation r = 2/5 t to describe the relationship.
In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.
Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.
The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.
Therefore,
In the given equation r = 2/5 t "r" is the dependent variable.
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Complete Question:
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.
*POINTS!!!*Draw the image of the figure after the given rotation about the origin
Answer:
Just flip it 180 degrees
Step-by-step explanation:
A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)
How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers probability?
The total number of possible 7-place license plates are 67600000.
Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible
Let's solve the given problem:
The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.
Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled
= 676 × 100000
= 67600000 ways
Hence the total number of possible 7-place license plates are 67600000.
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The polynomial $p(x) = x^{2} + ax + b$ has positive integer coefficients $a$ and $b.$ If $p(60)$ is a perfect square and the equation $p(x) = 0$ has two distinct integer solutions, what is the least possible value of $b\,?$
The least possible value for the coefficient b for the polynomial given is 1.
Given a polynomial,
p(x) = x² + ax + b
where a and b are positive integer coefficients.
P(x) = 0 has two distinct integer solutions.
Discriminant is a perfect square.
a² - 4b is a perfect square.
a² (1 - 4b/a²) is a perfect square.
(1 - 4b/a²) is a perfect square.
Since a and b are positive and (1 - 4b/a²) is a perfect square, this cannot be negative.
So, 4b / a² = 1
4b = a²
If b = 1, a = 2
Substituting this in P(60),
60² + (60 × 2) + 1 = 3721 = 61²
Hence the least value of b is 1.
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The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations.
y = −2x + 4,
y = − 1/3x − 1
What is the solution to the system?
The system of equations y = 2x + 4 when graphed have a solution that y = − (1/3)x − 1 is (3, - 2)
A straight line's general equation is -
y = (m)x + c
where -
The slope of the line, [m], indicates the unit rate at which [y] changes in relation to [x].
The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].
A straight line's equation can also be expressed as -
Ax + By + C = 0
By = - Ax - C
y = \((\frac{A}{B} - \frac{B}{C})x - \frac{A}{C}\)
The set of equations is as follows:
y = − 2x + 4
AND
y = − \((\frac{1}{3} )\)x − 1
Draw the graphs for these two equations. The answer to this system of equations would be near the intersection. Please see the following graph. These lines come together at (3, - 2)
As a result, y = 2x + 4 and is the system of equations that has been solved.
y = − \((\frac{1}{3} )\)x − 1 is (3, - 2)
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Two families have been out on dinner.at the end of the night they pay their 100 pound bill they use a 50 percent of coupon which halves their bill then they split their remaining amount equally between the two families
The amount that one family paid is 25 pound
Here two families had dinner and bill was 100 pound
They used the coupon on which they got 50% off
To find the percentage we have to use percentage formula:
\(=\frac{Value}{Total \ Value} *100\)
\(=\frac{50}{100} *100\)
\(= 50 \ Pounds\)
The remaining bill was 50 pound
Now this amount is divided between the 2 families
\(=\frac{50}{2}\)
\(= 25 \ pound\)
So one family has to pay 25 pounds
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Solve the equation below for x.
x – 15.2 = 76
A. x = 5
B. x = 60.8
C. x = 91.2
D. x = 1,155.2
The answer is C (x = 91.2)
Step-by-step explanation:
x - 15.2 = 76
x = 76 + 15.2
x = 91.2