The concurrency point for medians of a triangle is known as centroid.
A median is a line drawn from one of the vertices of a triangle that bisects the side opposite to the vertex. Since there are 3 vertices in a triangle, there are also 3 medians in a triangle. A median divides the triangle into 2 equal halves.
The 3 medians of a triangle intersect at a point inside the triangle. This point is known as the centroid of the triangle. It is the center point of a triangle and divides the medians in the ratio of 2 : 1.
Thus, the name of concurrency for medians of a triangle is centroid.
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is 700% of 5 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
Great than 10, but less than 100
Step-by-step explanation:
Make 700% a decimal by dividing by 100
700/100 = 7
7 = 5 = 35
700% of 5 is 35.
Answer:Greater than 10 but less than 100
Step-by-step explanation
700% of 5 = 35
35 is greater than 10
but less than 100
hope this helps
Volunteers are folding pamphlets. The time it takes to fold the pamphlets varies directly with the number of pamphlets and inversely as the number of volunteers working. If it takes 4 volunteers 2 hours to fold 400 pamphlets, how long would it take 5 volunteers to fold 600 pamphlets?
Answer:
2 hours and 24 minutes
Step-by-step explanation:
If each worker does 100 each hour than 5 workers do 500 in 2 hourse leaving 100 left so then you 2 hours aka 120 minutes divided by 5 = 24 so it all adds to be 2 hours 24 minutes
The sum of two numbers is 66. Two times the lesser number is 15 more than the greater number. What are the numbers
If x is a lesser number, the equation is
Answer:
See below!
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:x + y = 66 ----------------(1)
Condition # 2:2x = y + 15
2x - y = 15 ---------------(2)
Add both equations
x + y + 2x - y = 66 + 15
x + 2x = 66 + 15
3x = 81
Divide both sides by 3
x = 27Put x = 27 in Eq. 1
27 + y = 66
Subtract 27 to both sides
y = 66 - 27
y = 39[tex]\rule[225]{225}{2}[/tex]
1 Select the correct answer. Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x − 7) + 3? A. It is the graph of f translated 3 units up and 7 units to the left. B. It is the graph of f translated 7 units down and 3 units to the right. C. It is the graph of f translated 7 units up and 3 units to the right. D. It is the graph of f translated 3 units up and 7 units to the right.
Using translation concepts, it is found that the correct option is:
D. It is the graph of translated 3 units up and 7 units to the right.
The parent function is:
[tex]f(x)=y=1nx[/tex]
Shifting a function a units to the right is equivalent to finding f(x - a), thus:
[tex]f(x-7)=1n(x-7)[/tex]
Shifting a function a units up is equivalent to finding f(x) + a, thus:
[tex]f(x-7)+3=1n(x-7)+3[/tex]
Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.
find the slope of the line that passes through (2,4) , (9,10)
The slope of the line that passes through (2,4) , (9,10) is 6/7
How to calculate the slope of the line?From the question, the points are given as
(2,4) , (9,10)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (2,4) and (9,10)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (2,4) and (9,10)
Substitute the known values in the above equation
So, we have the following equation
Slope = (10 - 4)/(9 - 2)
Evaluate
Slope = 6/7
Hence, the slope of the line is 6/7
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20 is ______times as much as 2
If −2≤f(x)≤5 on [−1,3] then find upper and lower bounds for ∫−13f(x)dx
Answer:
Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...
Step-by-step explanation:
The upper bound of the given function is 20 while the lower bound of the given function is -8.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
-2 ≤ f(x) ≤ 5
At the upper bond, f(x) = 5
[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]
⇒ 5(3 + 1) = 20
At the lower bond f(x) = -2
[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]
⇒ -2(3 + 1) = -8
Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".
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Determine the value of 0.
21⁰
sin0=opp/hyp
sin0=5/14
0=(sin^-1)5/14
0=21⁰
The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
After a 20% discount, you purchase a television for $240. What was the television's
price before the reduction? (Define a variable, create an equation, solve using algebra,
and answer in a sentence.)
===========================================
Work Shown:
x = price of the TV before the discount
20% of x = 0.20x = discount, aka amount saved
x - 0.20x = 0.80x = price after discount
0.80x = 240
x = 240/0.80
x = 300
The TV was $300 before the discount.
-------------
Check:
20% of 300 = 0.20*300 = 60 dollars is the amount saved
300-60 = 240 is the price after the discount, which matches the given info. The answer is confirmed.
which angle is complementary to 56 degrees?
Answer:
34°
Step-by-step explanation:
34° is the the compliment of 56°
complementary angles can add upto 90°
56 + 34 = 90
90° - 56° = 34°
or
56° + x = 90°
-56 -56
x = 34°
Name of the angle = acute angle 34°<90°
0° - 90° = acute angles
90° - 180° = obtuse angles
Raven and Tyler are selling their cups of hot chocolate for $2.25. They sold 11 cups. They are also sold 9 candy canes on the side for $0.75 each. They spent $7.50 on supplies that they will have to pay back to the bank.
How much did they earn from candy canes?
The amount they earn from the sale of candy canes as required is; $6.75.
How much did they earn from candy canes?It follows from the task content that the amount earned by Raven and Tyler as in the task content is to be determined.
Since they sell their cups of hot chocolate for $2.25 in which case they sold 11 cups.
However, the question requires that the amount which they earn from the sale of candy canes is to be determined.
Therefore, since each candy cane is sold for $0.75, it follows that the amount earned on 9 candy cones is;
= 9 × $0.75
= $6.75
Ultimately, the amount earned from the candy canes is; $6.75.
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The followings are the sys. BP in mmHg of 12 patents
under certain therapy of hypertension
183
144
152
178
157
114
178
152
194
163
118
158
Can we conclude on basis of these data that sample
mean is less than pop mean 165 mmHg
Let a = 0.05
There is no sufficient evidence to support that the population mean is less than 165.
What is mean ?
The average of a set of values is referred to as the mean in statistics and math. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The simple arithmetic mean involves adding the numbers together and dividing the result by the number of observations.
From the given data
183, 152, 178 , 157 , 194 , 163 , 144 , 114 , 178 , 152 , 118 , 158
Mean = 157.5833
Standard deviation s = 24.39
n = 12
Null hypothesis [tex]H_{0}[/tex] : μ = 165
Alternative Hypothesis [tex]H_{1}[/tex] = μ < 165
Level of significance ∝ = 0.05
degree of freedom (df) = n - 1
(df) = 12 - 1
(df) = 11
critical value [tex]t_{0.05 , 11}[/tex] = -1.796 (left - tailed)
Test - statistics (t) = ( mean - μ ) / ( s / √n)
(t) = -1.053
p - value = 0.1574
p - value > Significance level (∝)
0.1574 > 0.05
We fail to reject the null hypothesis
Critical value [tex]t_{0.05 , 11}[/tex] = -1.796
|[tex]t_{0.05 , 11}[/tex]| = 1.796
|test - statistics| < |critical value|
1.053 < 1.796
We fail to reject the null hypothesis
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I need help on this Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
{3, 4, 6, 7, 8}
Step-by-step explanation:
For sets U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 5, 6}, and C = {1, 2, 3, 4, 5}, you want the set {A∩C}'.
A∩CThe set A∩C contains the elements that are common to both sets. Those are {1, 2, 5}.
{A∩C}'The set of interest contains the elements of U that are not in A∩C. Those are ...
{3, 4, 6, 7, 8}
__
Additional comment
DeMorgan's theorem tells us the desired set is equivalent to A'∪C', or {3, 4, 7, 8}∪{6, 7, 8}. That, too, is ...
(3, 4, 6, 7, 8}
Is triangle RST is an acute triangle then m/s must be?
If triangle RST is an acute triangle, then m∠S must be less than 90°.
What is Acute Traingle?
A form of triangle called an acute triangle has acute angles at each of its three internal angles. Triangles with sharp angles are also known as acute triangles. Acute triangles have different side lengths, but their interior angles are always less than 90°.
Less than 90 degree angles are referred to as acute angles.When the three interior angles of a triangle are less than 90 degrees, the triangle is said to be "acute."In light of the foregoing, if triangle RST is an acute triangle,
then,
∠R , ∠S and ∠T, all are less than 90.
A triangle that is equilateral and has all three interior angles equal and less than 90 degrees, or angles that are all 60 degrees, is an example of an acute triangle.
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The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
The number of sugar cups will be equal to 7.5 cups.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.
The number of sugar cups will be calculated as,
F / S = 2 / 3
5 / S = 2 / 3
S = ( 5 x 3 ) / 2
S = 7.5 cups
Therefore, the number of sugar cups will be equal to 7.5 cups.
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A radioactive compound with mass 380 grams decays at a rate of 12.1% per hour. Which equation represents how many grams of the compound will remain after 4 hours?
The equation that represents how many grams of the compound will remain after 4 hours is A(4) = 380 *(1 - 12.1%)⁴
How to determine the equation?From the question, we have the following parametersa:
Mass = 380 grams
Rate of decay= 12.1% per hour
These parameters can be represented using the following exponential equation
A(n) = A *(1 - r)ⁿ
Where
n = number of hours = 4
A = Initial mass = 380
r = rate of decay = 12.1%
Substitute the known values in the above equation, so, we have the following representation
A(4) = 380 *(1 - 12.1%)⁴
Hence, the equation is A(4) = 380 *(1 - 12.1%)⁴
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Shivani and Yamini have certain amounts of
money with them. If Shivani gives 60 to Yamini, the
amounts with both will be equal. Instead, if Yamini
gives 20 to Shivani, the amount with Shivani would
become twice the amount left with Yamini. What is
the amount with Shivani?
Answer:
$300
Step-by-step explanation:
S = amount of $$ Shivani currently has
Y = ... Yamini currently has
1. If Shivani gives 60 to Yamini, the amounts with both will be equal:
S - 60 = Y + 60
2. if Yamini gives 20 to Shivani, the amount with Shivani would become twice the amount left with Yamini: 2(Y-20) = S+20
3. Simplify both equations and solve the system:
S = Y + 120
S = 2Y - 60
Y + 120 = 2Y - 60 ⇒ Y = 180
S = 180 + 120 = 300
0 x ≤-21
0 x ≤21
0 x ≤-15
0 x ≤15
21. 2z>-28 (I point)
O z>-56
O z>-14
O z<-14
O z<14
Answer: [tex]z > -14[/tex]
Step-by-step explanation:
Divide both sides by 2.
II. Write each improper fraction as a mixed number and each mixed number as a improper fraction 23/5 20/12 3 3/4 4 7/15 18/8 45/18 8 3/10 1 11/12
Answer: 23/5 = 4 3/5
20/12 = 1 8/12 = 1 2/3
3 3/4 = 15/5
4 7/15 = 67/15
18/8 = 2 2/8 = 2 1/4
45/18 = 2 9/18 = 2 1/2
8 3/10 = 83/10
1 11/12 = 33/12
Step-by-step explanation:
what value of x is in the solution set of 3x 4 5x 2 10 5 5 10
The value of x in the considered inequality's solution set is given by -10.
What is inequality ?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We have;
3(x - 4) ≥ 5x + 2
By solving;
3(x - 4) ≥ 5x + 2
3x - 12 ≥ 5x + 2
Adding -3x-2 on both sides we get ;
-12-2 ≥ 5x-3x
-14 ≥ 2x
Dividing both sides by 2,we get;
-14/2 ≥ 2x/2
-7 ≥ x
x ≤ -7
As a result, any numbers that are less than or equal to -7 comprise the solution set for this inequality.
There is currently only the value -10 in the solution set because -10 ≤ -7.
As a result, the value of x in the collection of solutions to the inequality under consideration is provided by -10.
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cards and chips are being created for a board game by company the number of cards produced is proportional to the number of chips that are produced over a short period of time the company produced 32 cards and four chips what is the ratio of cars the chips produce State and simplest form as a unit rate in cards per chip (I NEED ANSWERS FAST)
Answer:
8 cards per chip
Step-by-step explanation:
So 32:4 is the ratio.
Divide by 4 to get 8 cards per chip.
What is the end behavior of f(x)?
Answer:
The first option.
Step-by-step explanation:
The graph starts very negative and ends very positive. Not sure how else to explain it.
What is the standard form of ( 7 − 5 i ) ( 2 + 3 i ) ?M
The standard form of the complex numbers ( 7 − 5 i ) ( 2 + 3 i ) is
29 + 11iHow to expand the complex numbersComplex numbers are numbers that are represented of the form a + ib
a and b are real numbers. a is the real part and b is in the imaginary part
i = √-1
Opening up the parenthesis by multiplication
( 7 − 5 i ) ( 2 + 3 i )
= 14 +21i - 10i -15i^2
where i^2 = -1
= 14 +21i - 10i -15 * -1
= 14 +21i - 10i +15
= 29 + 11i
The equation is equal to 29 + 11i
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What are the 7 types of triangles?
The 7 names of triangles:
Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,
Right triangle, Obtuse triangle
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Equiangular triangle: All angles are equal.
Acute triangle . . . all three angles are less than 90°
Right triangle . . . one angle is 90°
Obtuse triangle . . . one angle is greater than 90°
Equilateral triangle . . . all three sides are the same length
Isosceles triangle . . . two sides are the same length
Scalene triangle . . . all three sides are different lengths
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Annika is comparing two companies based on the costs for renting a bike for the . Company A charges a $20 rental fee plus $4.50 the bike is rented. Company B charges a 9 rental fee plus $6.50 per hour the bike is rented.
Answer:
depends on how long u need it for
Step-by-step explanation:
Question 3: Multiply: 0.33.10⁵
330
330000
33000
3300
Answer:
33,000
Step-by-step explanation:
0.33 x 10^5 is 33,000
-18-18 Swap sides variables are on the 1eft and
changes sign direction. Please help me graph answer x2>-18 thanks
The graph of the expression x² > -18 does not exist
How to determine the graph of the expression?From the question, we have the following inequality expression that can be used in our computation:
x2 > -18
This expression can be rewritten properly
So, we have the following representation
x² > -18
Next, we take the square roots of both sides of the expression
This gives
√x² > √-18
Evaluate the exponents
So, we have
x > 3√-2
The radical is a complex number
This means that the inequality expression cannot be graphed (because of the presence of the complex expression)
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What is an example of a complex fraction?
The example of a complex fraction is the fraction that consisting fraction on the numerator or denominator or both, that is 4 / (1/6)
The simple fraction consist of both numerator and denominator as whole number. The term on the top is the numerator and the term on the bottom is called the denominator
The complex fraction is defined as the fraction that consisting fraction on the numerator or denominator or both
The example of the complex fractions are
4 / (1/6)
Here the numerator is the 4 and it is a whole number. The denominator is 1/6 that is a fraction
Therefore, the example of a complex fraction is 4 / (1/6)
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What is the graph of the system of inequality?
Graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.
What is inequality?
When left hand side is not exactly equal to the right hand side of an equation then it is known as inequality. For system of inequality, there are four types of inequalities <, >, [tex]\le[/tex], and [tex]\ge[/tex].
Using following steps anyone can graph the inequality:
1. Get y alone on one side of a linear inequality in two variables (like x and y) before graphing it. Then, take into account the associated equation that was created by switching the inequality sign for an equality sign. This equation has a line as its graph.
2. The graph is a dashed line if the inequality is strict ( < or >). The graph is a solid line if the inequality is not strict ([tex]\le[/tex] or [tex]\ge[/tex] ).
3. The last step is to choose a point that is not on either line (typically (0, 0) is the simplest) and determine whether or not these coordinates fulfil the inequality. If so, shade the portion of the half-plane that contains that point. If not, shade the opposite half-plane.
Hence, the graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.
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