The length of CF is 51 inches.
Complete question:
( In triangle ABC in which AD,BE and CF are the medians ),
In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box.
What is the median in a triangle?
A line segment that joins a vertex to the mid-point of the side that is opposite to that vertex
The centroid G divides each median into the ratio 2:1, so GF is 1/3 of CF. That is, ...
CF = 3(GF) = 3(17 in)
CF = 51 in
So, the length of CF is 51 inches.
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Plsss help a girly out
Answer:
D
Step-by-step explanation:
if x = 0 or x = 3 the function doesn’t exist
If x = 1 Y = 0
1575 to the nearest 10
⇒ Rounding off to the nearest 10 we look at the unit
⇒ for 0-4 we round down, and for 5-9 we round up.
⇒In this case the unit is 5, this means we will round up, the number in the tenth place will be affected.
∴ The answer is 1580
⇒Note 7 was rounded up to 8 due to the 5 in the unit place.
HELP!
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
008
Clear all
Enter the correct answer.
+?
DONE
Answer:
y = 1/2x + 4
Step-by-step explanation:
slope-intercept form is: y = mx + b
- x and y are coordinates; if you plug the coordinates into your equation, you should receive a solution.
- m is the slope itself. this can be figured out by calculating the rise/run. look at the point (0,4). the line goes up by one, and right by two. therefore, the slope is 1/2. the line is also going up, so therefore it is a positively sloped line.
- b is the y-intercept, or where the line crosses the y-axis. in this specific example, the line crosses the y-axis at the point (0,4), and therefore the b would be + 4.
so when you put everything together and plug the m and the b into the slope formula, you get y = 1/2x + 4.
hope this helped!<3
what is the smallest positive integer that can be expressed as the sum of nine consecutive integers, the sum of ten consecutive integers, and the sum of eleven consecutive integers? (1993,
Any positive integer n that meets the three requirements is a multiple of 9 and 11, as well as an odd multiple of 5. Lcm(5,9,11)=5911=495 is the smallest such n.
What is integer?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers.
Here,
The n subsequent integers from -(n-1)/2 to (n+1)/2 have a sum of 0 if n is an odd number. Sum n is produced by translating the interval to the right by 1. Each positive sum is therefore a positive multiple of n.
If n is even, the sum of the next n even integers from -n/2-1 to +n/2 is n/2. Sum n+n/2 is produced by moving the interval to the right by 1. As a result, every positive sum is an odd multiple of n/2.
Therefore, any positive integer n that meets the three requirements is a multiple of 9 and 11, as well as an odd multiple of 5. Lcm(5,9,11)=5911=495 is the smallest such n.
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A line that includes the points (5,t) and (7,–9) has a slope of –6. What is the value of t?
Nguyen needs bags of stones to put in his garden. He has
390 square feet to cover in his garden. He paid $95.26 for all the bags
he needed to cover the garden. If he paid $4.33 for each bag of
stones, how many bags did he purchase?
label optional
22
How many square feet of the garden did each bag cover? Round your
answer to the thousandths.
Yes the acceptable move that proves the two equation are equivalent.
What is equivalent equation?
Equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation.
Sol-
By observing both equation.
In equation A : -3(x+9)=18
Divide the equation A by -3
=> (x+9)=-6
And this result equals to equation B
Hence both equation are equivalent
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1. Solve -4(3x - 7) = 40 for x.
x=-1
x = 3.92
x= -3.92
X = 1
Answer: x=-1
Step-by-step explanation:
1. -4(3x-7)=40
2. -12x+28=40
3. -12x=12
4. x=-1
Mei got scores of 76, 80, and 78 on her last three history exams. Write an inequality to determine the score, x, she needs on the next exam so that her average is at least 82.
The required inequality is x ≥ 94.
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Add the scores with x and equate them to (82 times 4) as shown:
76 + 80 + 78 + x = (82 times 4)
234 + x = 328
Find x
x = 94
She needs x on the next exam so that her average is at least 82.
So, inequality is x ≥ 94.
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he side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
64x6 + 144x4 + 108x2 + 27
64x6 + 48x4 + 12x2 + 1
4x6 + 36x4 + 108x2 + 27
4x6 + 12x4 +12x2 + 1
The volume of the cube with the given side length is 64x⁶ + 144x⁴ + 108x² + 27 , the correct option is (a) .
The Volume of the cube with side length "a" is given by the formula
Volume = a³ .
In the question ,
it is given that ,
the length of the side (s) of the cube is 4x² + 3 .
By using the formula for Volume of the cube ,
we get
Volume = (4x² + 3)³
using the identity (a + b)³ = a³ + b³ + 3a²b + 3ab²
we get ,
Volume = (4x²)³ + 3³ + 3*(4x)²*(3) + 3*4x*3²
Simplifying further ,
we get
= 64x⁶ + 27 + 9*16x⁴ + 27*4x²
= 64x⁶ + 27 + 144x⁴ + 108x²
= 64x⁶ + 144x⁴ + 108x² + 27
Therefore , The volume of the cube with the given side length is 64x⁶ + 144x⁴ + 108x² + 27 .
The given question is incomplete , the complete question is
The side length s , of a cube is 4x² + 3 . If V = s³ , what is the Volume of the cube ?
(a) 64x⁶ + 144x⁴ + 108x² + 27
(b) 64x⁶ + 48x⁴ + 12x² + 1
(c) 4x⁶ + 36x⁴ + 108x² + 27
(d) 4x⁶ + 12x⁴ +12x² + 1
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The owner of Trixie's Sweets and Treats, a large candy store, wants to order a new sign to be displayed above the storefront. The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base. So that the sign is big enough to see from the street, the owner decides that the area of the sign should be approximately 200 square feet
The equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet..
According to the question,
We have the following information:
The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base.
Area of the sign is approximately 200 square feet.
Let's take the base of the triangle to be b feet.
Height of triangle = 2b
Now, we know that the following formula is used to find the area of triangle:
Area = 1/2 * base*height
200 = b*(2b)/2
[tex]2b^{2} /2 = 200[/tex]
[tex]b^{2} = 200\\[/tex]
b = 10√2 feet
Hence, the equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet.
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A. Set up an equation(s) to find x and y.
B. Show all work and solve for x and y.
C. Use these values to find the values of angles 1, 2, and 3.
A. The equations are given as follows:
12x - 9y = 177.x + 2y = 1.B. The solutions are given as follows: x = 11, y = -5.
C. The angles are given as follows:
m < 1: 57º.m < 2: 57º.m < 3: 123º.How to obtain the mesures?The two parallel lines, p and q, are cut by the transversal line, hence angles 2 and 3 are supplementary angles, and thus:
x - 9y + 1 + 11x + 2 = 180
12x - 9y = 177.
Angles 1 and 2 are alternate interior angles, meaning that they are congruent, hence:
6x + y - 4 = x - 9y + 1.
5x + 10y = 5.
x + 2y = 1.
x = 1 - 2y.
Replacing in the first equation, the value of y is given by:
12(1 - 2y) - 9y = 177
33y = -165
y = -165/33
y = -5.
Then the value of x is of:
x = 1 - 2y = 1 + 10 = 11.
The angle measures are given as follows:
m < 1: 6(11) - 5 - 4 = 57º.m < 2: 57º -> congruent to 1.m < 3: 123º -> supplementary to 2.More can be learned about parallel and transversal lines and angles at https://brainly.com/question/24607467
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 1178 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
38%
Step-by-step explanation:
[tex]\frac{1178}{3100}[/tex] x 100
Write an equivalent equation using the Subtraction Property of Equality
9y = 4y + 10
(explain how to do this to)
The Equivalent equation using the Subtraction Property of Equality is y = 2.
what is Subtraction Property of Equality?According to the Subtraction Property of Equality, if two equal items have an equal value subtracted from them or deleted, the result is a new equal amount. When two equivalent sides of a mathematical statement are separated by an equal sign, an equation is being expressed. The subtraction property is expressed as follows: If a = b, then a - c = b - c.In order to balance an equation, one must apply the same mathematical operation on both sides, which is known as the subtraction property of equality.If we have an expression as ( a + b ) = c
Then as per subtraction property of equality [ (a + b ) - b = c - b ]
Here given 9y = 4y + 10
Simplifying this equation, we get
⇒9y - 4y = 10
⇒( 9 - 4 )y = 10
⇒5y = 10
therefore, y = ( 10 ÷ 5 )
⇒y = 2
Therefore the equivalent equation is y = 2.
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Given the following exponential function, identify whether the change repreent growth or decay, and determine the percentage rate of increae or decreae y=210(1. 092)^x
The exponential function indicated will increase by 9.2%.
Given that,
y = 210(1. 092)^x
To find,
Determine the change's percentage rate of rise or reduction and decide if it shows growth or decay.
We have,
y = 210(1. 092)^x
Since the growth factor exceeds 1, the equation reflects exponential growth.
The general form equation is:
y(x)= a(1-r)^x such that r represents the growth rate.
1+r =1. 092
r = 0. 092= 9.2%
As a result, the exponential function will grow by 9.2%.
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Solve for y.
y-8.2 = 2.39
y =
X|6 = 2 solve for x
Answer:
12
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
Answer:
x=12
Step-by-step explanation:
x/6=2
x=(2)(6),
x=12
0.95 x 0.22 help pls??
from a collection of 50 store customers, 3 are to be chosen to receive a special gift. how many groups of 3 customers are possible?
The combination of number of ways of groups of 3 customers are 19600 .
What is permutation and combination?
Combination and permutation are two alternative strategies to divide up a collection of elements into subsets in mathematics. The components of the subset may be arranged in any order when combined.The subset's components are listed in a permutation in a certain order.The number of store customer is N = 50
The number of customer that receive a special gift is r = 3
The expression for the number of possible ways to choose 3 customers is
= ⁿCr
= ⁵⁰C₃
= 50 * 49 * 48/3 * 2 * 1
= 19600
Thus, the number of ways of groups of 3 customers are 19600.
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Which of the following represents the solution to 2x + 7 = 15?
Answer:
Step-by-step explanation:
x=4
15-7=8
8/2=4
Answer: 2(4) + 7 = 15
Step-by-step explanation:
2 + 7 only equals 9
2 * 4 = 8
8 + 7 = 15
So x would be 4
Class 10R sat a test
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys is 62%.
Work out the percentage for the girls
Answer:
86%
Step-by-step explanation:
You want the girls' average if the 20 boys in the 30-student class had an average of 62%, and the class average was 70%.
Weighted averageThe class average is the weighted average of the boys' score and the girls' score. The weights are the fraction of students of each gender.
class average = (1/3)(girls' average) +(2/3)(boys' average)
Girls' averageSolving this equation for the girls' average, we get ...
(1/3)(girls' average) = (class average) -(2/3)(boys' average)
girls' average = 3(class average) -2(boys' average)
girls' average = 3(70%) -2(62%) = 210% -124%
girls' average = 86%
__
Alternate solution
The sum of differences from the class average must be zero. The boys' average is 8 points below the class average, and there are 2 times as many boys as girls. Thus, compared to the girls, the boys contribute a total of 2·8 = 16 points below the class average. The girls must counter by having an average 16 points above the class average: 70+16 = 86.
Abram is an investor. The table summarizes Abram's trades in a year.
Price per Share
($)
90
70
50
75
Date
Details
starting value ($900)
bought stock
bought stock
1-1-16
3-11-16
5-10-16
12-30-16 sold stock
Number of Shares
10
5
15
30
Compute and compare Abram's fees to trade with Stocks & More and with Trading Station for the year.
Type the correct answer in each box. Use numerals instead of words.
Abram's total fees for the year if he trades with Stocks & More are $
deducting all fees, but before he pays taxes on his gain, is $
Abram's total fees for the year if he trades with Trading Station are $
deducting all fees, but before he pays taxes on his gain, is $
His final return for the year after
His final return for the year after
DIUTZEN
Sign out
Nov 8
5:32 O
Answer:
Okay so for the first box the answer is, 116.85.
The second box is, 2,133.15
For the third box, 141
And the fourth and final box is, 2,109
Step-by-step explanation:
I really hope this helps!!
PLEASE, solve this. I dont have a lot of time :(
PLEASE
Answer:
direct variation for both, 0.5x and -2.5x
Step-by-step explanation:
what you have is correct. it is linear lines on both plots and tables. and your equations are also correct because for example, -6 times -2.5 is equal to 15.
Which of the following is the correct representation of permutation?
Answer: the answer is P (n,r)
Cye-Na is starting a juice stand. It takes her 15 minutes to prepare 3 1/4 cups of juice. How many hours would it take her to prepare 32 1/2 cups of juice?
It will take 2.5 hours to make 32 1/2 cups of juice, in the fraction mode.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
Cye-Na is starting a juice stand. It takes her 15 minutes to prepare 3 1/4 cups of juice.
So in 15 minutes, she makes 13/4 cups of juice.
So for 1 cup she will take 15/ (13/4) minutes.
For 32 1/2 cup she will take 15 * (65/2)/ (13/4)
= 15*65*4/ 2*13
= 150 minutes.
Which is 2.5 hours
Hence, It will take 2.5 hours to make 32 1/2 cups of juice.
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Choose the correct reason to justify each of the first four statements in the derivation. 1) a2 = h2 x2
The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2
1) a2 = h2 + x2
Pythagorean theorem
2) h2 = a2 - x2
Rearrange the previous statement
3) c2 = h2 + (b-x)2
Pythagorean theorem
4) c2 = h2 + b2 -2bx + x2
Expand (b – x)2
What made Pythagoras think of the Pythagorean theorem?
The number 1 : the number of reason.
The number 2: the first even and female number, the number of opinion.
The number 3: the first true male number, the number of harmony.
The number 4: the number of justice or retribution.
The number 5: marriage.
The number 6: creation
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Out of 273 students in a school, 95 volunteered to work on a booksale.What percentage of the students did not voluteer.
Two poles of lengths 10ft and 15ft are set up vertically with their bases on horizontal ground 12ft apart. Find the distance between the tops of the poles
By using the concept of Pythagoras Theorem, the result obtained is
Distance between their tops is 13 ft.
What is Pythagoras Theorem?
Pythagoras Theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of perpendicular and base.
The figure has been attached
Let the poles be represented by CD and AE and let AC represents the distance between their tops
Construction
A line from C parallel to DE (shown by a dotted line) is drawn
CD = 10 ft.
AE = 15 ft.
BE = 10 ft.
AB = AE - BE
= 15 - 10
= 5 ft.
DE = 12 ft.
BC = 12 ft.
[tex]\angle AED = 90^{\circ}[/tex] [ Angle between pole and ground is 90°]
[tex]\angle ABC = 90^{\circ}[/tex] [ Corrosponding angles are equal]
By Pythagoras Theorem,
[tex]AC^2 = AB^2+BC^2\\AC^2 = 5^2 + 12^2\\AC^2 = 25 + 144\\AC^2 = 169\\AC =\sqrt{169}\\[/tex]
AC = 13 ft.
Distance between their tops is 13 ft.
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use the delta method to approximate the standard error for the square root of the sample average g
To use the delta method to approximate the standard error for the square root of the sample average g, we first need to calculate the sample average g.
What is an error?A variation from precision or correctness is called an error. An error, then, is a mistake or a failure to perform an action appropriately. Errors can take place person commits a calculation error, an equipment breaks down, or a person interprets information incorrectly.
Various factors might lead to errors. For instance, a person may make a mathematical error because they misunderstood the problem or made an error when doing the computation. A machine may break down due to a design error, normal wear and tear, or an outside event like a power loss. A person's prejudice may cause them to interpret information incorrectly.
How to solve?
This can be done by summing all the values in the sample and dividing by the total number of values in the sample. Next, we need to find the derivative of the function that describes the square root of the sample average g. This derivative will be used to approximate the standard error. To find the standard error, we then multiply the derivative by the standard deviation of the sample average g. This will give us an approximation of the standard error for the square root of the sample average g. It is important to note that this approximation will only be accurate if the sample is normally distributed and the sample size is large. Additionally, the delta method is only one way to approximate the standard error, and other methods may be more appropriate in certain situations.
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Find the coterminal angle between 0° and 360° if the degree is -118° a 242° b -118° c -242° d 118°
The measure of the angle coterminal to - 118° is equal to 242°. (Correct choice: A)
How to determine a coterminal angle
Two angles are coterminal when they have different measures and the same direction in the terminal side. Two consecutive coterminal angles differ their measures in 360°. Then, we can determine the value of the coterminal angle by using the following formula:
θ' = θ + 360°
Where:
θ - Measure of the original angle, in degrees. θ' - Measure of the coterminal angle, in degrees.If we know that θ = - 118°, then the coterminal angle between 0° and 360° is:
θ' = - 118° + 360°
θ' = 242°
The measure of the coterminal angle is 242°.
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Need help with this question please
Answer:
B
Step-by-step explanation:
[tex] {x}^{6} \times {x}^{2} = {x}^{6 + 2} = {x}^{8} [/tex]
