An acute triangle is made up of three acute angles. An obtuse triangle is formed by one acute angle and two obtuse angles.
what is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. In Euclidean geometry, any three points identify a distinct triangle and, concurrently, a distinct plane if they are not collinear.
Three acute angles make up an acute triangle. One obtuse angle and two acute angles make form an obtuse triangle. Because in Euclidean geometry all angles in a triangle must be 180 degrees, a triangle cannot contain more than one obtuse angle.
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slove for the variable 2(y - 5) = 5y + 23
Answer:
y = -11
Step-by-step explanation:
Congratulations! You won a free grill in sweepstakes! You know that you can fit a rectangular grill in your truck that has a width of 212 feet. The length of the grill can be up to three times the width. What is the largest possible perimeter your new grill can have to fit in your taco truck? Show your work.
Answer:
by5b5ybyb54
Step-by-step explanation:
yb5ybyby
use a linear approximation (or differentials) to estimate the given number. 99.6
The estimate for the number 99.6 using linear approximation is approximately 0.4.
To estimate the number 99.6 using linear approximation or differentials, we will use the following steps:
Step 1: Find the function f(x) and its derivative f'(x) that approximates the given function around the point x = a.
In this case, we will use the function f(x) = 100 - x and its derivative f'(x) = -1.
Step 2: Determine the value of a. Since we want to approximate the number 99.6, we can use a = 100 as a convenient value of a that is close to 99.6.
Step 3: Use the linear approximation formula to estimate the value of
f(99.6):f(99.6) ≈ f(a) + f'(a)(99.6 - a)
Substituting the values, we get:
f(99.6) ≈ f(100) + f'(100)(99.6 - 100)f(100)
= 100 - 100
= 0f'(100)
= -1f(99.6)
≈ 0 + (-1)(-0.4)
≈ 0.4
Therefore, the estimate for the number 99.6 using linear approximation is approximately 0.4.
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do y’all know the title to the song that’s like do do dodo do do
Answer:
BABY SHARK DOO DOO DOO BABY SHARK DOO DOO DOO BABY SHARK DOO DOO DOO BABY SHARK
Step-by-step explanation: 6.9 billion views and 2019 altogether
Answer: Maybe Megalovania?
Step-by-step explanation:
all you need is in the photo
Answer:
\(y=12\)
Step-by-step explanation:
given
green = 28
red = 35
yellow = y
prediction of yellow = 16 of 100
require
determine y
first ,we need to calculate the probability of yellow.
probability of yellow =
probability = yellow\total
where
total = yellow + red + green
total = y+ 35 + 28
total= y+ 63
so,
probability =y/( + 63)
also the prediction of yellow is 16 out of 100 .
represent this as probability
probability = 16/100
equate both expression to solve for y
y/(y+ 63)=16/100
y/(y + 63)= 0.16
multiply both sides by (y + 63)
y= 0.16(y + 63)
y= 0.16 y + 10.08
collect like terms
y- 0.16=10.08
0.84y =10.08
solve for y
y=10.08 /0.84
y=12
Identify the initial amount a and the rate of decay r (as a percent) of the exponential function h (t) = 1250(0.865)'. Evaluate the
function when t 3. Round your answer to the nearest tenth.
Answer:
809.0
Step-by-step explanation:
Given the exponential function h (t) = 1250(0.865)^t
When t = 3
h(3) = 1250(0.865)^3
h(3) = 1250 (0.6472)
h(3) = 809.0
Hence the value to the nearest tenth is 809.0
come up with a scenario that models an inverse variation situation provide at least four data pairs for the situation
Best examples
Boyles law
P is inversely proportional to VP1V1=P2VCurrent with resistance
I1R1=I2R2Resistance with length of wire
R1l1=R2l2Pressure with area
P1A1=P2A239 divided by 780 help me
Answer:
20
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
Calc it
Frank bought n oranges. Carlos bought 8 fewer oranges than Frank. In terms of n, how many oranges did Carlos buy?
A. n + 8
B. n - 8
C. 8 - n
D. 8 - 8n
The number of oranges that Carlos bought is n - 8. n is variable.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).
The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.
Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are used in equations.
Given that Frank bought n oranges. Carlos bought 8 fewer oranges than Frank.
The number of oranges that Frank bought is more than the number of oranges that Carlos.
The number of oranges that Carlos bought is n - 8.
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Answer:
b just took the test and i put c trust me it is b
Step-by-step explanation:
Four divided by what number equals 12?
Answer:1/3
Step-by-step explanation:
Answer:
1/3 or 0.3333
Step-by-step explanation:
\(\frac{4}{x} =12\)
\(4 = 12x\)
\(x= \frac{4}{12} = \frac{1}{3}\)
Four divided by 1/3 equals 12.
The johnsons are driving 2,563 miles to the beach. they plan to drive 325 miles a day. how many days will it take the johnsons to drive to the beach?
Answer:
It will take them 7.89 days
TIME REMAIN 56:07 What method can be used to write the equation of a line in slope-intercept form given two points? Find the slono uning
Step-by-step explanation:
1. Pick two points on the line and use them to find the slope.
2. Then, find the coordinates of the y-intercept.
3. The y- coordinate is the value of b in the equation.
Answer:
Step-by-step explanation:
First find the slope of the line.
If the 2 points are (x1, y1) and (x2, y2) then the slope is (y2-y1)/(x2-x1).
Then we can use the point-slope form of the equation of the line:
y - y1 = m(x - x1) where m = the slope and by substituting the point (x1, y1) we can convert the equation to slope intercept form ( which is y = mx + b).
Example:
Find slope-intercept equation for the line joining the points (1, 0) and (3, 4):
The slope = (4 - 0)/(3 - 1) = 4/2 = 2.
Now we plug in the slope m and the point (3, 4) into y - y1 = m(x - x1):
y - 4 = 2(x - 3) (Note we can use (1, 0) OR (3, 4) as they are both on line).
y - 4 = 2x - 6
y = 2x - 6 + 4
y = 2x - 2 which is slope-intercept form.
Sally went to the Lulu and saw a $100 shirt that was on sale for %20 off sally went to h&m and saw the same $100 shirt was on sale for %15 off but she also have a %5 off coupon that she can use on the top discount
Comparing the final prices, we can see that Sally would get a better deal by purchasing the shirt at Lulu, where the final price is $80 after the 20% discount.
what is discount ?
A discount is a reduction in the original price of a product or service, offered by a seller to a buyer. It is a common marketing strategy used to attract customers and increase sales
In the given question,
To determine which store offers the better deal, we need to calculate the final price of the shirt after applying the discounts.
At Lulu, the shirt is on sale for 20% off, so the discounted price is:
Discounted price = Original price - Discount
Discounted price = $100 - (20% x $100)
Discounted price = $80
At H&M, the shirt is on sale for 15% off, so the discounted price is:
Discounted price = Original price - Discount
Discounted price = $100 - (15% x $100)
Discounted price = $85
Sally also has a 5% off coupon that she can use on the discounted price at H&M. Therefore, the final price at H&M would be:
Final price = Discounted price - Coupon
Final price = $85 - (5% x $85)
Final price = $80.75
Comparing the final prices, we can see that Sally would get a better deal by purchasing the shirt at Lulu, where the final price is $80 after the 20% discount.
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(ii) Show that the equation x(x−2)2=3 can be expressed as x3−4x2+4x−3=0 The polynomial p(x) is given by p(x)=x3−4x2+4x−3. (i) Find the remainder when p(x) is divided by x+1. (ii) Use the Factor Theorem to show that x−3 is a factor of p(x). (iii) Express p(x) in the form (x−3)(x2+bx+c), where b and c are integers. c) Hence show that the equation x(x−2)2=3 has only one real root and state the value of this root.
(i) The remainder is -12.
(ii) Concluded that x - 3 is a factor of p(x).
(iii) It can be express p(x) as (x - 3)(x² - x + 1).
c) The equation x(x - 2)² = 3 has only one real root, which is x = 3.
(i) To find the remainder when p(x) = x³ - 4x² + 4x - 3 is divided by x + 1, we can use synthetic division, which is shown in the attached image.
Here, the remainder is -12.
(ii) According to the Factor Theorem, if (x - a) is a factor of a polynomial p(x), then p(a) = 0.
Substitute x = 3 into p(x) to verify if x - 3 is a factor:
p(3) = 3³ - 4(3)² + 4(3) - 3
= 27 - 36 + 12 - 3
= 0
Since p(3) = 0, we can conclude that x - 3 is a factor of p(x).
(iii) Using the factor we found in part (ii), we can divide p(x) by (x - 3) using long division or synthetic division:
We obtain a quotient of x² - x + 1 and no remainder.
Therefore, we can express p(x) as (x - 3)(x² - x + 1).
(c) Now let's consider the original equation x(x - 2)² = 3.
We know that x = 3 is a root of p(x) = x³ - 4x² + 4x - 3, which means it satisfies the equation p(x) = 0.
Hence, x = 3 is a solution to the equation x(x - 2)² = 3.
Since (x - 3) is a factor of p(x) and the quadratic factor (x² - x + 1) does not have any real roots, the equation x(x - 2)² = 3 has only one real root, which is x = 3.
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currently, the rate for new cases of diabetes in a year is 4.3 per 1000 (based on data from the centers for disease control and prevention). when testing for the presence of diabetes, the newport diagnostics laboratory saves money by combining blood samples for tests. the combined sample tests positive if at least one person has diabetes. if the combined sample tests positive, then the individual blood tests are performed. in a test for diabetes, blood samples from 10 randomly selected subjects are combined. find the probability that the combined sample tests positive with at least 1 of the 10 people having diabetes. is it likely that such combined samples test positive?
A data of cases of diabetes from the centers for disease control and prevention, the probability that the combined sample tests positive with at least 1 of the 10 people having diabetes is equals to 0.04218.
We have a data from the centers for disease control and prevention.
The rate of new cases of diabetes
= 4.3 per 1000
So, probability ( diabetes) =\( \frac{4.3}{1000}\) = 0.0043
Using complement rule, Probability for no diabetes people, P( no diabetes)
= 1 - 0.0043 = 0.9957
Now, blood samples from 10 is randomly selected. It is assumed that each of these different people having diabetes is independent events. Using multiplcation rule for independent events, P( All 10 have no diabetes )
= P( no diabetes)× P( no diabetes)×....× P( no diabetes) ( 10 times)
= ( P( no diabetes))¹⁰ = 0.9957¹⁰
= 0.957823
Using complement rule, P ( atleast 1 the 10 people having diabetes) = 1 - P( All 10 have no diabetes ) = 1 - 0.957823
= 0.04218
Since, probability value is small so it is unlikely that a combined sample test. Hence, required probability is 0.04218.
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if a player placed a $8 bet on red and a $5 bet on black in a single play in american roulette, what would be the expected value of his winnings?
The expected gain for the player from Americal Roulette is $5.18 after rounding off to the nearest cent.
There are a total of 38 places in American Roulette. 18 places are red.18 places are black.2 places are green.If the ball lands on the chosen color, the amount placed on the bet is doubled.Therefore the possibilities are-
Ball lands on greenBall lands on redBall lands on black.The probability that the ball lands on a particular color
= no. of places of color/ total no. of places.
Let A be the event that the ball lands on red.
Let B be the event that the ball lands on black.
Let C be the event that the ball lands on green.
P(A) = 18/38
P(B) = 18/38
P(C) = 2/38
Here, an $8 bet is placed on red, and a $5 bet on black.
If the ball lands on red then the gain will be
$16 - $5
= $11
If the ball lands on black then the gain will be
$10 - $8
= $2
If the ball lands on green, the gain will be
= -$8 - $5
= - $13
Let the expected gain be E
E = sum of the products of gain and the probabilities
= gain on red X P(A) + gain on black X P(B) + gain on green X P(C)
= 11 X 18/38 + 2 X 18/38 - 13 X 2/38
= 198/38 + 36/38 - 26/38
= 197/38
= $5.1842
Rounding this off to the nearest cent gives us
= $5.18 (since the next digit is less than 5)
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Metric System Conversions Conversions within the metric system consist of moving the decimal point to the left or right. It is important to memorize the relation of one unit of measure to another; for example, 1 km=1000 m,1 m=1000 mm,1 mm=1000pm, etc. Add zeros where necessary to move the decimal point. If there is no number to the left of a decimal point, add a zero. 4. One of the exceptions to using the metric system today is in calculating fluid volumes. Fluids are often measured in ounces, teaspoons and tablespoons, household measures. Remember, one fluid ounce =30 mL See metric ruler for other conversions. 8. ounce carton of milk = mL8×30=240 mL 5. Another exception is weight. Scales may only give weight in pounds. One kilogram =2.2 pounds. Using ratio-proportion, convert these weights: 135 pounds =…
kg1 kg=x kg2.2x=135x=61.4 kg
2.2 pounds 135 pounds
Or pounds +2.2=kg 75 kg=
2.2 pounds × pounds Or kg×2.2= pounds
pounds 1 kg=75 kg×=165 pounds
Using ratio-proportion method converted weight : 135 pounds = 61.4 kg.
Metric System Conversions Metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.
These base units can be used in various combinations to derive larger or smaller units.
The following are the metric prefixes that you can use in conversions: Tera, giga, mega, kilo, hecto, deka, deci, centi, milli, micro, nano, pico.
The metric system conversions involves moving the decimal point to the left or right, and adding zeros where necessary.
You need to memorize the relation of one unit of measure to another.
For example, 1 kilometer = 1000 meters, 1 meter = 1000 millimeters, and 1 millimeter = 1000 picometers.
Fluids are usually measured in ounces, teaspoons, and tablespoons, as well as household measures, which are exceptions to using the metric system today. 1 fluid ounce is equal to 30 mL, and 1 quart is equal to 946 mL.
Weight is also an exception, with scales that often give weights in pounds. 1 kilogram is equal to 2.2 pounds.
Thus, to convert weight measurements, use ratio-proportion.In converting 135 pounds to kg, we use ratio-proportion as follows:
2.2 pounds = 1 kg
135 pounds = x kg
Cross-multiplying the ratio-proportion, we have:
2.2 × x = 135
Simplifying, we get:
x = 135 ÷ 2.2
x = 61.36 kg, which can be rounded to 61.4 kg.
Thus, 135 pounds is equal to 61.4 kg.
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Riddle:
68, 23=22
92, 46=0
23, 12=11
99, 54= ?
The pattern in the given riddle seems to be as follows:
For each pair of numbers (a, b):
1. Take the first digit of a and subtract it from the second digit of b.
2. If the result is negative, take the absolute value of the number.
Let's apply this pattern to the last pair of numbers (99, 54):
The first digit of 99 = 9
The second digit of 54 = 4
9 - 4 = 5
Therefore, the answer is 5.
Expand.
Your answer should be a polynomial in standard form.
(8 - 3a)(2a2 + 6) =
\((8-3a)(2a^2+6)=8\cdot2a^2+8\cdot6-3a\cdot2a^2-3a\cdot6=\\\\=16a^2+48-6a^3-18a=\boxed{-6a^3+16a^2-18a+48}\)
Answer:
-6a^3 + 16a^2 - 18a + 48.
Step-by-step explanation:
(8 - 3a)(2a2 + 6) =
= 8*2a^2 + 8*6 - 3a*2a^2 - 3a*6
= -6a^3 + 16a^2 - 18a + 48.
Algebra
In how many ways could a supervisor select a 4-person sales team from a group of 12 salesmen
and 8 saleswomen if the supervisor wants exactly 2 women on the team?
Answer:
\(1848 ways\)
Step-by-step explanation:
\(=(12nCr2)(8nCr2)=(66)(28)=1848\)
Hope this helps
Macrosoft Corporation uses a predetermined overhead rate based on direct labour costs to apply manufacturing overhead to jobs. At the beginning of the year the Corporation estimated its total manufacturing overhead cost at $350,000 and its direct labour costs at $200,000. The actual overhead cost incurred during the year was $370,000 and the actual direct labour costs incurred on jobs during the year was $204,000. The manufacturing overhead for the year would be:
A. $13,000 underapplied. B. $13,000 overapplied. C. $20,000 underapplied. D. $20,000 overapplied.
The actual overhead cost was greater than the applied manufacturing overhead, the manufacturing overhead for the year would be $13,000 overapplied (option B).
To calculate the manufacturing overhead for the year, we need to compare the estimated overhead with the actual overhead incurred.
The predetermined overhead rate is calculated by dividing the estimated manufacturing overhead cost by the estimated direct labor costs:
Predetermined overhead rate = Estimated manufacturing overhead cost / Estimated direct labor costs
In this case, the estimated manufacturing overhead cost is $350,000 and the estimated direct labor costs are $200,000:
Predetermined overhead rate = $350,000 / $200,000
= 1.75
Now we can calculate the applied manufacturing overhead by multiplying the predetermined overhead rate by the actual direct labor costs:
Applied manufacturing overhead = Predetermined overhead rate * Actual direct labor costs
= 1.75 * $204,000
= $357,000
To determine if there was overapplied or underapplied overhead, we compare the applied manufacturing overhead with the actual overhead incurred:
Actual overhead - Applied manufacturing overhead
= $370,000 - $357,000
= $13,000
The manufacturing overhead for the year would be $13,000 overapplied (option B) because the actual overhead cost exceeded the applied manufacturing overhead.
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Find the distance between
(8,7) and (1,-2)
Answer:
√130 units
Step-by-step explanation:
(8,7) ; (1, -2)
Distance = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)
\(= \sqrt{(1-8)^{2}+(-2-7)^{2}}\\\\= \sqrt{(-7)^{2}+(-9)^{2}}\\\\= \sqrt{49 + 81}\\\\= \sqrt{130}\)
The cost, in dollars, of producing x coffee machines is given. (Round your answers to the nearest cent.) C(x)=1,300+60x−0.3x2 (a) Find the exact cost of producing the 22 nd machine.
Therefore, the exact cost of producing the 22nd machine is $2,474.80. To find the exact cost of producing the 22nd machine.
We need to substitute x = 22 into the cost function C(x).
Given: C(x) = 1,300 + 60x - 0.3x^2 Substituting x = 22 into the function, we get: C(22) = 1,300 + 60(22) - 0.3(22)^2
Simplifying the equation, we have: C(22) = 1,300 + 1,320 - 0.3(484)
C(22) = 1,300 + 1,320 - 145.2 C(22) = 2,620 - 145.2 C(22) = 2,474.8.
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What is the minimum value that the graph of y = sinx assumes?
Brainlyist
Answer:
-1
Step-by-step explanation:
On a y = sin(x) function graph, the midline is y = 0, and the amplitude is 2. The maximum and minimum values are 1 and -1.
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Anna and julia each take a bycicle trip. Anna ride 20 mile in 1 1/3 hour. Julia ride 246 mile in 16 hour. Which rider ha the lower unit rate? by how much?
Julia has lower rate than anna by 0.375 miles/ hour
A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. In fact, unit rate is said to be the amount of something in each unit or per unit. Let us understand this using some examples:
40 miles/2 hours = 20 miles/hour, Unit rate is 20 miles per hour
160 words/4 minutes = 40 words/minutes, Unit rate is 40 minute per minute
To compare the unit rate of the two riders, we need to determine the number of miles per hour for each of them.
For Anna, the unit rate is 20 miles / 1 1/3 hour = 15 miles/hour.
For Julia, the unit rate is 246 miles / 16 hours = 15.375 miles/hour.
So, Julia has a lower unit rate than Anna by 0.375 miles/hour.
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The shoes were $175. They are now 10% off. How much are they now?
Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.
Hope this helps!
For rhis problem you will have to simplify correctly .
Answer:
Step-by-step explanation:
Answer:
The mistake was -9, the answer is 1x -6
Step-by-step explanation:
3 (x - 6) + (4x + 12) - 6x =
3x - 18 + 4x + 12 - 6x = (use distributive property for this step)
3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)
1x - 6 (use addition and subtraction to get the final answer)
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what is a simpler form of the radical expression ^4 sqrt 2401x^12y^16
Step-by-step explanation:
To simplify the given radical expression, we can first break down 2401 into its prime factors, which gives us:
2401 = 7^4
We can then simplify the given expression as follows:
^4 sqrt (2401x^12y^16) = ^4 sqrt (7^4 * x^12 * y^16)
= ^4 sqrt (7^4) * ^4 sqrt (x^12) * ^4 sqrt (y^16)
= 7 * x^3 * y^4
Therefore, the simplified form of the given expression is 7x^3y^4.
Reflect triangle ABC across the line x = 2. Then the reflect (image) A' B' C' across the line x = -3.
Answer:
1. ΔA'B'C' = A' = (1, 1), B'(-1, 1), and C'(1, 4)
2. ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)
Step-by-step explanation:
1. The coordinates of the triangle ΔABC are; A(3, 1), B(5, 1), and C(3, 4)
The reflection of a line across the line x = 2, is given as follows
The distance between the x-coordinate of the preimage and the line of reflection which is parallel to the x-axis = The distance of the x-coordinate of the preimage from the line of reflection but opposite in sign
The distance from A(3, 1) from x = 2 is 3 - 2 = 1, therefore, the x-coordinate of the image, A' = 2 - 1 = 1, therefore, we have;
The coordinate of A' = (1, 1)
Similarly, we have; B(5, 1) (reflection across x = 2) → B'(-1, 1)
C(3, 4) (reflection across x = 2) → C'(1, 4)
Therefore when we reflect ABC across the line x = 2, we get ΔA'B'C', with A' = (1, 1), B'(-1, 1), and C'(1, 4)
2. Reflection of A'B'C' across the line x = -3, gives;
A'(1, 1) (reflection across x = -3) → A''(-7 1)
B'(-1, 1) (reflection across x = -3) → B''(-15 1)
C'(1, 4) (reflection across x = -3) → C''(-7, 4)
The coordinates of the reflection of ΔA'B'C' across the line x = -3 is ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)
which time-series model assumes that demand in the next period will be equal to the most recent period’s demand? A) Naïve approach
B) Exponential smoothing approach
C) Moving average approach
The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.
What is Naïve approach model?This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:
y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.
Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.
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