Answer:
Step-by-step explanation:
Let the space between flags be "x" and the flag's side is "y"
2x + 3y = 80 ║ × ( - 2 )
5x + 6y = 170
- 4x - 6y = - 160 ..... ( 1 )
5x + 6y = 170 ..... ( 2 )
( 1 ) + ( 2 )
x = 10
2(10) + 3y = 80
y = 20
The space between flags is 10 cm
The flag's sides are the same size and is 20 cm
What are the x- and y-intercepts for the graph of 3x + y = 15?
x-intercept = −3
y-intercept = 15
x-intercept = 3
y-intercept = 1
x-intercept = −3
y-intercept = 1
x-intercept = 5
y-intercept = 15
Answer:
x-intercept = 5
y-intercept = 15
Step-by-step explanation:
Change the equation to slope-intercept form: y = -3x + 15
You have the y-intercept in that equation already, so you know it's 15. To find the x-intercept, substitute 0 in for y and solve algebraically.
0 = -3x + 15
-15 = -3x
5=x
i hat is the slope 6/-10 and 3/-13
Answer:
1
Step-by-step explanation:
Assuming your mean we have the points
(6, -10) and ( 3, -13)
We can use the slope formula
m = (y2-y1)/(x2-x1)
m = ( -13 - -10)/( 3 - 6)
= (-13+10)/( 3-6)
= -3 / -3
= 1
please answer both thank
Answer:
the second one for #4 and the third one for #5
Step-by-step explanation:
4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or
y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).
5.
Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.
Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.
If apple pie is "a" and lemon is "l":
6a + 4l = 80
6a + 5l = 94,
so C is the answer
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(-3, 1)
(0,0)
Answer:
y=-3x
Step-by-step explanation:
The y intercept is zero because it goes through (0,0)
The slope is -3 because the line goes through -3 at 1, so it goes down 3 on the y axis for every 1 right on the x axis.
use the diagram below to find all the missing angles
Answer: M<1=135 M<2=45 M<3=135 M<4=45
Step-by-step explanation:
which of these tables represents a function
Answer: choice D
Step-by-step explanation:
In order for something to be a function for every x input there must be exactly 1 y output. This means that if x is a number then y must always be 1 number and that 1 number only.
Which equation models this relationship?
Answer:
The one you selected is correct! You can check it by using the four values of m and w given.
the mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
show workibf out
Answer:
7
Step-by-step explanation:
To find the number, first multiply 8 by 3, since that is how you find the mean.
8 x 3 = 24 (total)
x + 6 + 11 = 24
x = 24 - 6 - 11
x = 7
Inverse:
7 + 6 + 11 = 24
Mean = 24/3 = 8
Hope this helps!
There are nine counters in a bag numbered from one to nine. If a counter is drawn at random from the bag what is the probability that the number on the counter is not a multiple of three?
Step-by-step explanation:
jajajsjhshhsejjddjidndjdjdjxndjdkhsjdjddjdkd
The probability is 1/3 that the number on the counter is not a multiple of three.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have to determine the probability that the number on the counter is not a multiple of three.
There are nine counters in a bag numbered from one to nine.
If a counter is drawn at random from the bag.
One to nine, there are three numbers are multiple of three that is (3, 6, 9)
Here favorable outcomes = 3
So the probability that the number on the counter is not a multiple of three as
⇒ 3/9
⇒ 1/3
Therefore, the probability is 1/3 that the number on the counter is not a multiple of three.
Learn more about the probability here:
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Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation
Answer:
There are two major methods of forecasting
One is the Causal method and the 2nd one is the times series method
Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.
Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.
Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation
6 Factorise
x2 + 6x -7
Answer:
(x+7)(x-1)
Step-by-step explanation:
x^2 + 6x -7
so here we need two number that give 7 when multiplied and 6 when subtracted
7 and 1 are the numbers because
7*1=7 and ,
7-1=6 so,
x^2 + (7-1)x -7
x^2 +7x -x -7
take common from first two terms and from third and fourth term
x(x+7)-1(x+7)
take (x+7) as common
(x+7)(x*1 -1*1)
(x+7)(x-1)
my question is in the document
The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a person's weight and height. One simpler model is BSA= wh 3600
where w = weight in kg and h = height in cm.
a. Using this model, estimate the height of a person who weighs 75 kg and whose BSA is 1.9.
Round your answer to the nearest cm.
h = _______ cm
b. Using this model, estimate the weight of a person who is 166 cm tall and whose BSA is 2.2.
Round your answer to the nearest kg.
w= _________kg
Answer:
173 cm
105 kg
Step-by-step explanation:
Given :
BSA= √wh /3600
where w = weight in kg and h = height in cm.
A.)
w = 75 kg ; BSA = 1.9 ; h =?
BSA= √wh /3600
1.9 = √75h /3600
Take the square of both sides
1.9² = 75h /3600
1.9² * 3600 = 75h
12996 = 75h
h = 12996 / 75
h = 173.28 cm
h = 173 cm
B.)
h = 166 ; BSA = 2.2
BSA= √wh /3600
2.2 = √w166 /3600
Take the square of both sides
2.2² = 166w /3600
2.2² * 3600 = 166w
17424 = 166w
w = 17424 / 166
w = 104.96 kg
w = 105 kg
Using the model given, we have that:
a) h = 173 cm.
b) w = 105 kg.
The BSA, for a person of weight w and height h, is given by:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
Item a:
[tex]BSA = 1.9, w = 75[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]
[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]
[tex]\frac{75h}{3600} = 3.61[/tex]
[tex]h = \frac{3600(3.61)}{75}[/tex]
[tex]h = 173[/tex]
Hence:
h = 173 cm.
Item b:
[tex]BSA = 2.2, h = 166[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]
[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]
[tex]\frac{166w}{3600} = 4.84[/tex]
[tex]w = \frac{3600(4.84)}{166}[/tex]
[tex]w = 105[/tex]
Hence:
w = 105 kg.
A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510
You roll a fair six-sided die. What are the chances the die shows an odd number or a number greater than one?
Answer:
4/3
Step-by-step explanation:
Out of the six sides 3 are odd and there's 5 numbers greater than 1. Basically these turn to the fractions 3/6 and 5/6 (these fractions stand for the probability they get rolled on this die).
Since the question says OR and not AND you add these fractions!
3/6 + 5/6 = 4/3
What is the volume of this figure?
Answer:
[tex]volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft[/tex]
The stock of Company A gained 6% today to $87.45. What was the opening price of the stock in the beginning of the day?
25 POINTS!!!!!!!!!!!!!!!!
Answer:
$82.50
Step-by-step explanation:
gainsd 6%=106%
$87.45×100%/106%=$82.50
Hope can help!!!
Answer:
$82.50
Step-by-step explanation:
gained6%=100%+6%
100%+6%=$87.45
100%=?
solution :
$87.45×100/106=$82.50
The times taken by 18 people to complete a puzzle are shown
No they aren't
___________
5th grade math. correct answer will be marked brainliest
Answer: How are we going to point it?
Step-by-step explanation:
What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?
When a number is decreased by 40% of itself the result is 96. What is the number?
Answer:
160
Step-by-step explanation:
96 / (100%-40%) = 96/ (60%)
= 96/0.6 = 160
Q) 96/(100% - 40%)
→ 96/ 60%
→ 96/ 0.6
→ 160 is the number.
find the approximate value of the circumference of a circle with the given radius use part equals 3.14 runner results to one more decimal than the given results 6 ft
c =
18.8 ft
18.8 ft
37.6 ft
37.7 fr
I need help with this problem
Step-by-step explanation:
y=sin ^-1(9/14) =44,27 degree
X= by pythegoras) =14 square - 9 square
= root 115
The perimeter of a rectangle is 54 cm. Find its length and width if the length is represented
by 3x + 2 and the width is represented by 2x – 5.
HELP FAST!!
Answer:
length = 20
width = 7
Step-by-step explanation:
Perimeter of a rectangle is
P = 2(l+w)
54 = 2( 3x+2 + 2x-5)
Combine like terms
54 = 2( 5x -3)
Divide each side by 2
54/2 = 5x-3
27 = 5x-3
Add 3 to each side
27+3 = 5x-3+3
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
3x+2 = 3(6)+2 = 18+2 = 20
2x-5 = 2(6)-2 =12-5 =7
Answer:
Length = 20 cm
Width = 7 cm
Step-by-step explanation:
Given that :-
The perimeter of a rectangle is 54 cm. Its length and width if the length is represented by 3x + 2 and the width is represented by 2x – 5.To find :-
Find the measures of length and width
Solution :-
To calculate the measures of length and width of rectangle . we gave given in question that perimeter of rectangle is 54 cm and length is represented by 3x + 2 and width is represented by 2x-5.Using Formula :-
Perimeter of rectangle = 2 ( l + b )
Where,
l is the length and w is the width of rectangle.Perimeter = 54 cmSubstitute the values
54 cm = 2 ( 3x + 2 + 2x - 5 )
Combine like terms
54 cm = 2 ( 3 x + 2 x + 2 - 5)
54 cm = 2 ( 5 x -3)
Simplify both sides of the equation.
54 = 2( 5x− 3 )
54 = (2)(5x) + (2)(−3). .. ( Distribute )
54 = 10x +−6
54 = 10x −6
Flip the equation.
10x −6 = 54
Add 6 to both sides.
10x −6 + 6 = 54 + 6
10x = 60
Divide both sides by 10.
10x / 10 = 60 / 10
x = 6
Therefore ,
Length = 3x + 2 =3 ×6 + 2 = 18 + 2 = 20 cm
Width = 2x- 5 = 2 × 6 - 5 = 12 - 5 = 7 cm
Help me please I don't have much time
The sea ice area around the North Pole fluctuates between about 6 million square kilometers in September to 14 million square kilometers in March. Assuming sinusoidal fluctuation, during how many months are there less than 9 million square kilometers of sea ice?
Answer:
there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.
Step-by-step explanation:
Given the data in the question;
Let S(t) represent the amount sea ice around the North Pole in millions of square meters at a given time t,
t is the number of months since January.
Now, we use a cosine curve to model this scenario
Vertical shift will be;
D = ( 6 + 14 ) / 2 = 20 / 2
D = 10
Next is the Amplitude;
|A| = ( 6 - 14 ) / 2
|A| = 4
Now, the horizontal stretch factor will be;
B = 2π / 12
B = π/6
Hence;
S(t) = 4cos( π/6 × t ) + 10 ----------- let this be equation 1
Now we find when there will be less than 9 million square meters of sea ice;
S(t) = 9
so we have
9 = 4cos( π/6 × (t-2) ) + 10
9 - 10 = 4cos( π/6 × (t-2) )
-1 = 4cos( π/6 × (t-2) )
-1/4 = cos( π/6 × (t-2) )
so we have;
cos⁻¹( -1/4 ) = π/6 × (t₁-2) -------- let this be equation 2
2π - cos⁻¹( -1/4 ) = π/6 × (t₂-2) -------- let this be equation 3
so we solve equation 2 and 3
we have'
t₁ - t₂ = 6/π × ( 2π - cos⁻¹( -1/4 ) - cos⁻¹( -1/4 ) )
t₁ - t₂ = 6/π × ( 2π - 2cos⁻¹( -1/4 )
t₁ - t₂ = 6/π × ( π - cos⁻¹( -1/4 )
t₁ - t₂ = 6/π × ( π - 104.4775 )
t₁ - t₂ = 6/π × ( π - 104.4775 )
t₁ - t₂ = 5.035
therefore, there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.
What term number will have 400 square in it?
Answer:
400^2 = 160 000
Step-by-step explanation:
The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.
if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value
You collect the following data for explanatory variable A and response variable B:
A(x) B(y)
1 14.2
2 14.9
3 15.5
4 16.8
5 17.8
6 18.9
7 20.1
8 20.9
9 21.5
10 22
You calculate the following summary statistics: x-bar = 5.5, s subscript x = 3.03, y-bar = 18.26, s subscript y = 2.85, and r = .995.
Required:
What's the critical t value you'd use for a 95% confidence interval for the slope of this regression line?
Answer:
v
Step-by-step explanation:
In ΔDEF, d = 440 inches, f = 410 inches and ∠F=120°. Find all possible values of ∠D, to the nearest 10th of a degree.
There are two solutions for the triangle DEF: ∠ D₁ ≈ 68.3°, ∠ D₂ ≈ 111.7°.
How to find all possible values of a triangle by law of sinesIn this question we have a triangle with two known sides and a known angle. By the law of sines we find the possible values of the angle D:
410/sin 120° = 440/sin D
Please notice that the sum of the internal angles of triangles equals 180°. Then,
sin D = (440/410) · sin 120°
sin D ≈ 0.929
There are two solutions for the triangle DEF: ∠ D₁ ≈ 68.3°, ∠ D₂ ≈ 111.7°.
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Which of the following statements is true?
A.
m is parallel to /.
B.
/ and m bisect each other.
C.
The distance from A to A' equals the distance from A to m.
D.
m bisects /.