32,760 is the answer!!
can someone please help!!!
Answers:
System 1: x = 3 and y = -5System 2: x = 1 and y = 2==========================================================
Explanation:
For now, let's focus on system 1.
We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.
The x terms subtract to 7x-x = 6xThe y terms subtract to 0 and go awayThe right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.
Once we know x, we can find out y.
7x+2y = 11
7(3)+2y = 11
21+2y = 11
2y = 11-21
2y = -10
y = -10/2
y = -5
or we can say
x+2y = -7
3+2y = -7
2y = -7-3
2y = -10
y = -10/2
y = -5
We should lead to the same y value either way. This helps confirm we have the correct x value.
Overall, the solution to system 1 is (x,y) = (3, -5)
----------------------------
Now onto system 2.
Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.
The new equivalent system is
[tex]\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}[/tex]
Now we have the same situation as before: Subtract straight down, solve for x.
The x terms subtract to 7x-(-2x) = 7x+2x = 9xThe y terms go away when subtractingThe right hand sides subtract to 11-2 = 9So we have 9x = 9 and that solves to x = 1.
We'll use this x to find the y value.
7x+2y = 11
7(1)+2y = 11
7+2y = 11
2y = 11-7
2y = 4
y = 4/2
y = 2
Or you could pick on the second equation
-x+y = 1
-1+y = 1
y = 1+1
y = 2
Casey is in Florida when a Zombie Apocalypse suddenly breaks out in his area. He needs to help his family and friends cross a sinkhole to escape the marauding herd. Help Casey calculate the amount of rope he will need to zipline his family and friends to safety … don’t mess this up!
(a) Choose a point on the graph (using whole numbers) and use this point to form a triangle, making the red line one side of this triangle. Calculate the three midsegments of the triangle you created, these will stabilize the zipline. Show all of your calculations below and draw in your work in the image above.
(B) Calculate the perimeter of the triangle and the lengths of each midsegment. Add these together so that Casey knows just how much rope he will need to create this lifeline to safety. Show all of your work below. Only round off at the end of the problem. Round to the nearest hundredth digit.
Pleaseeee help 50 points I don't know how to make you brainliest but include that with the answer and I will make you brainliest plzz
Attaching ropes to the midsegment of the triangle formed ensures that the
zipline can more safely cross the family and friends to safety.
The amount of rope needed to create a lifeline to safety is approximately 46.56Reasons:
The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)
The point selected, P = (4, -3)
[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]
[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]
[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]
The lengths of the midsegments are found as follows
Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)
Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3
Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5
(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13
The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)
The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6
The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)
The amount of rope needed to create a lifeline to safety is therefore;
19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56
The amount of rope needed to create a lifeline to safety = 46.56
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What is the average rate of change of the functionf (x) = 20(1/4)^xfrom x = 1 to x = 2?
Step-by-step explanation:
the average rate of change of a function f(x) between two values of x is
(f(x2) - f(x1)) / (x2 - x1)
f(x) = 20× (1/4)^x
x1 = 1
x2 = 2
f(x2) = 20× (1/4)² = 20/16 = 5/4
f(x1) = 20× (1/4)¹ = 20/4 = 5
(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4
the average rate of change is -15/4.
solve for x in equation !! ?
Pretty sure the answer is d
i need help plz the question is in the image
Answer:
46<h
Hopes this helps :)
7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?
The symbol that can be used to show the relationship of 101.768 -----
101.867 between the numbers is < (less than)
The question is what symbol should be used to show the relationship
between 101.768 and 101.867.
Both numbers are decimal numbers.
101.768 is not equal to 101.867.
Instead, 101.768 is less than 101.867.
Therefore, the symbol that can be used to show the relationship of 101.768 ---
-- 101.867 between the numbers are as follows:
101.768 < 101.867
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Which of these accurately describes the motion of the train?
Answer:
C
Step-by-step explanation:
For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.
Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12
9514 1404 393
Answer:
E. 31.64
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:
Tan = Opposite/Adjacent
You are given trig values for 36°. That means ...
tan(36°) = 23/x
x = 23/0.727 ≈ 31.64
Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?
Answer:
David= 30
Maria= 15
Trey= 20
Step-by-step explanation:
If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.
Suppose a population is of size N is 1,000,000. Compute the correction factor for the SE of the sample mean, when the sample size, n, is equal to 1,000; 10,000; and 100,000.
Answer:
90081???
Step-by-step explanation:
the equation of a line with slope2/5 and y-intercept 1 is
Step-by-step explanation:
y=(2/5)x + 1
that is the answer
Answer:
y=2/5x+1
Step-by-step explanation:
y=mx+b
m=2/5
b=1
Hope this helps :)
Find the number of ways all 9 letters of the word EVERGREEN can be arranged if (i) there are no restrictions, (ii) the first letter is R and the last letter is G, (iii) the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected. (iv) Find the number of selections which contain no Es and exactly 1 R. (v) Find the number of selections which contain no Es.
The word EVERGREEN can be arranged in the following manner.
What is Arrangement?The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.
Step 1: When there are no restrictionsThe letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.
But letter 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 9!/(4!×2!) = 7560.
Step 2: When the first letter is R and the last letter is GAs, first and last letter are fixed for R and g respectively.
Thus the total positions left are 7! with 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 7!/(4!×2!) = 105.
Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.The total combination for arrangement is 7560.
But when all 4 E's are kept together its gives 4! = 24.
Therefore, the total combination becomes 7560×120 = 181440.
Step 4: When the number of selections which contain no Es and exactly 1 R.As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter
Thus, the total combination becomes 4! = 24.
Step 5: The number of selections which contain no Es.The total letter left after the removal of all 4 E's is 5 with times repetition of R.
Therefore, the total combination will be 5!/2! = 60.
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1/8 of a pumpkin pie has 379 calories. How many calories
are in the whole pie?
Answer:
379*8
Step-by-step explanation:
1. 300*8=2400
2.70*8 = 560
3. 9*8=72
3032
plz help asap plzz plllzzzzz
You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4
Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.
I wrote notes on this question a while ago
C=cookies to make
C+8=15
C+8-8+15-8
C+0=7
C=7
Check:7+8=15
15=15
Help me plsssssss jdhdhdhdud
Answer:
5/2
Step-by-step explanation:
c (constant of proportionality) = y/x = 5/2 in this case
Sandy planted a tree and wanted to record its growth. The graph shows growth of the
tree over time.
1
The equation for the tree's growth is y =
+ 20.
2x
Select the meaning of the slope and y-intercept from the drop-down menus.
The given equation of the height of the tree is the equation of a straight line.
The slope is the number of units of growth each time period.The y-intercept is the initial height of the tree.Reasons:
1. The equation of the tree's growth is presented as follows;
y = 20 + 2·x
The equation of the tree is in the form of the equation of a straight line,
which is, y = m·x + c
Where, by comparison, we have;
m = The slope = 2
c = The y-intercept = 20
y = The height of the tree
x = The time of measurement of the growth of the tree
Therefore;
The slope = The height to which the tree grows within each time period.Therefore, the tree grows by 2 units of the height each time period of measurement
The y-intercept = The height of the tree at the start of the measurement.Therefore, the tree was 20 units of the length measurement at the start of the record.
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Answer:
Step-by-step explanation:
First Box: In the scenario, the slope represents
the growth rate of the tree per year.
Second Box: In the scenario, the y-intercept represents
the tree's initial height.
help me pls help me
Answer:
Well I’m not sure what Answers do you want
Step-by-step explanation:
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33
Answer:
0.05
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
Got it right
Which value for x makes the following equation true?
−2x−4=−6
Answer:
Step-by-step explanation:
−2x − 4 = −6
−2x − 4 + 4 = −6 + 4
−2x = −2
−2x/-2 = −2/-2
x = 1
The equation is,
→ -2x - 4 = -6
Let's solve for the value of x,
→ -2x - 4 = -6
→ -2x = -6 + 4
→ x = (-2)/(-2)
→ x = 2/2
→ [ x = 1 ]
Thus, the value of x is 1.
using agona} John ran 6/7 per day, he already for 8days. what is the total distance that he ran for 8 days ?
Find the slope of the line that passes through:
(5, -10) and (5,-4)
Answer:
Undefined
Step-by-step explanation:
you use the slope formula
m = y2 - y1 / x2 - x1
substitute
m = -4 - (-10) / 5 - (-5)
subtract 5 from 5
- 4 - (-10) / 0
The expression contains a division by 0. The expression is undefined.
This graph gives Selma's distance from home over time What does the slope of the line show in this situation? 20 18 16 Select from the drop-down menus to correctly complete each statement 14 12 Distance from home (miles) 100 For this situation, the slope of the line represents 81 60 Choose 40 20 The slope is Choose... which means that Selma's distance 0 from home Choose... by Choose... miles per hour.
Answer:
The amount Selma's distance from home changes per unit of time.
The slope is 38, which means that Selma's distance from home increases by 38 miles per hour.
Step-by-step explanation:
I just took the the test in k12 and I got it right.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. Selma's distance from home increases by 38 miles per hour.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points from graph are (2, 91) and (4,167)
x₁=2,y₁=91,x₂=4, y₂=167
Substitute in the formula
167-91/4-2
76/2
38
The amount Selma's distance from home changes per unit of time.
So slope is 38, which means that Selma's distance from home increases by 38 miles per hour.
Hence Selma's distance from home increases by 38 miles per hour.
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Find the missing number.of 2/4÷5/7= 2/4×7/5=
[tex] \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = [/tex]
[tex] \tt\frac{2}{4} \times \frac{7}{5} = [/tex]
[tex] \tt \frac{14 \div 2}{20 \div 2} = [/tex]
[tex] \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}[/tex]
THE RESULT IS 7/10
Answer:
The solution is:
2/4÷5/7 = 7/102/4×7/5 = 7/10Step-by-step explanation:
2/4÷5/7
= 2/4×7/5
= 1/2×7/5
= 7/10
2/4×7/5
= 1/2×7/5
= 7/10
Jay buys 60 square feet of tile for $324. Later, he buys another 20 square feet of tile. How much does the extra tile cost?
What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.
Answer:
9 unitsStep-by-step explanation:
Given two points:
(4, 7) and (4, - 2)The distance between them is the difference of y- coordinates since x- coordinates are same:
7 - (- 2) = 7 + 2 = 9
4(-8x+5)-(-33x-26)=[tex]4(-8x+5)-(-33x-26)=[/tex]
Answer:
4(-8x+5) - (-33x-26)
-32x+20+33x-26
collect like terms
-32x+33x+20-26
=x-6
Step-by-step explanation:
x-6
Is this correct way to solve the problem?
5(2x-2)=30
10x-1030
10x=30+10
10x=40
(-10x)=(40)
x=-4
help me plz
Answer:
10x=40
x=40/10
x=4
4 is the answers, not -4
Step-by-step explanation:
pls mark as brainliest
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.
Answer:
2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
-Chetan K
Answer: 2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)