Answer:
C. 16 mi.
Step-by-step explanation:
This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.
Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.
a² + b² = c²
32² + 24² = c²
1600 = c²
40 = c
So, the southeast course is 40 miles long.
Find how many miles the pilot traveled on the alternate route:
32 + 24
= 56
Find the difference in extra miles:
56 - 40
= 16
So, the pilot was forced to fly 16 extra miles.
The correct answer is C. 16 mi.
Answer:
16
Step-by-step explanation:
On Edge 2022
The number of students in an school building that have the flu after t days is given by the function
()=800/1+49^−0.2
a) What was the initial number of students infected (think about what time is initially).
b) When will the number of students infected be equal to 200?
Round all of your answers to the NEAREST whole number and be sure to label your answers.
Step-by-step explanation:
[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]
[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]
Could someone please help? I’ve done this lesson so many times and still struggle.
Nice job on getting problem 1 correct.
=================================================
Problem 2
The double stem and leaf plot says we have the following data set for the men's side
53,54,57 60,61,62,63,63,64,64,66,67,67,68,69 70,70,70,70,70,73,76,77,77,77,77,79 81,82,85,86,88,88 90,92,93,98Be careful to read the stem first, followed by the leaf (even though the leaf values are listed on the left side of the stem).
Notice how each row is a different stem (in this case, tens digit) to help make things more readable.
If we were to add up all of those values I listed above, then we should get the sum 2707. Divide this over n = 37 to get 2707/n = 2707/37 = 73.162 approximately. This rounds to 73 since your teacher wants you to round to the nearest whole point.
The average score for the men is 73.You'll do the same thing for the women's side. That data set is
55,59 60,60,62,62,63,64,65,66,66,67 70,71,71,72,73,74,75,76,79,79 80,81,82,83,83,84,89 90,92,92,93,93,95,98 100Again, it's handy to break the scores up by stem or else you'll have a long string of scores to get lost in (or it's easier to get lost in).
Adding up those 37 scores should get you 2824 which then leads to a mean of 2824/n = 2824/37 = 76.324 approximately. This rounds to 76
The average score for the women is 76.=================================================
Problem 3
The range for the men is max - min = 98 - 53 = 45
The range for the women is max - min = 100 - 55 = 45
Both groups have the same range (which is 45)==================================================
Problem 4
It's strongly recommended to use a spreadsheet here. Let's focus on the men's data set.
The idea is to subtract each data value from the mean 73.162, and then square the result. So each term is of the form (x-mu)^2 where mu is the mean.
For example, the data value x = 53 on the men's side will lead to
(x-mu)^2 = (53 - 73.162)^2 = 406.506
We consider this a squared error value.
You'll do this with the remaining 36 other values in the men's data set.
After doing this, you'll add up the 37 items in this new column and you should get roughly 4711.027, and this is the sum of the squared errors (SSE).
Divide this over n = 37 and we get 4711.027/37 = 127.325
Lastly, apply the square root and we arrive at sqrt(127.325) = 11.284 which rounds to 11.28
The steps for the women's standard deviation will be the same. You should get 12.30
-------------
Answers:Men's standard deviation = 11.28Women's standard deviation = 12.30These are population standard deviation values. If you don't want to use a spreadsheet, a much better option is to use online calculators that specialize in population standard deviation.
1) The men's and women's team each played 37 games.
2) the mean score of men's and women's team is 73 and 76 approximately.
3) the range of men's and women's score is 45.
4)the standard deviation of men and women team 11 and 12 approximately.
Number of observations can be found by counting the observations.
Mean is the average of all observations. It is the sum product of observations divided by the number of observations.
The range of observations is the measure of spread. It is the highest value minus the lowest value.
The standard deviation is another measure of variability. It is the square root of variance, where variance is the sumproduct of observations minus the mean, divided by the number of observations.
The data set is given by:
Men's team
53,54,5760,61,62,63,63,64,64,66,67,67,68,6970,70,70,70,70,73,76,77,77,77,77,7981,82,85,86,88,8890,92,93,98Women's team
55,5960,60,62,62,63,64,65,66,66,6770,71,71,72,73,74,75,76,79,7980,81,82,83,83,84,8990,92,92,93,93,95,981001) Number of games each team played :
men's team = 37
women's team = 37
2)mean = [tex]\frac{sum \ of \ observations}{number \ of \ observations}[/tex]
men's team = [tex]\frac{2707}{37}[/tex] = = 73.162
women's team = [tex]\frac{2824}{37}[/tex] = = 76.324
3)range = highest observation - lowest observation
men's team = 98 - 53 = 45
women's team = 100 - 55 = 45
4)population standard deviation = [tex]\sqrt{ \frac{\sum (x-\bar x)^2}{n}}[/tex]
On using the formula :
men's team = [tex]\sqrt{\frac{4711.027}{37} } = \sqrt{127.325} = 11.284[/tex]
women's team = [tex]\sqrt{151.29}[/tex] = 12.3
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Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?
Answer:
k + 7 = 11
k = 4
Step-by-step explanation:
1 + 6k = 25
25 - 1 = 6k
24 / 6 = k
k = 4
4 + 7 = 11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
k = 4
The value of k + 7 = 11
Step-by-step explanation:
1 + 6k = 25
To find the value of k we have to use inverse operations
1 + 6k = 25
1 - 1= 0
25 - 1 = 24
This cancels out the 1 in this equation. 25 becomes 24 now because what we do to one side we do to the other.
6k = 24
To find k we have to divide 6 from 6 and 24
6/6= 0
24/6= 4
Now we are left with the variable k and 4
Therefore, k = 4.
To solve the second part of the equation we plug in k to the equation
k = 4
so the equation becomes 4 + 7
4 + 7 = 11
Please help if possible its important!!
Answer:
600 ft³
Step-by-step explanation:
Base area: B
Base is triangle
base = 12 ft and height = 5 ft
Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]
[tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]
H = 20 ft
Volume = B * H
= 30 * 20
= 600 ft³
Please help, need to find f^-1 (x)
The inverse function [tex]f^{-1}(x)[/tex] is such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us
[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]
Solve for [tex]f^{-1}(x)[/tex] :
[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]
(2w+3x)(w-5x) - (3w+7x)(w-7x)
Answer:
-w²+49x²-8wx
Step-by-step explanation:
if you want how I did this it's quite lengthy so let me know if you want the process
Answer:
-w^2 + 21xw - 64x ^2
Step-by-step explanation:
Which of the following statements is false?
A. Opposite sides of a parallelogram are congruent.
B. The diagonals of a parallelogram bisect each other.
C. A rhombus is a parallelogram.
D. A rhombus is a regular polygon.
Answer:
D
Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on
prime factorization of 44
231 give the serious
answer
Answer:
11,4021
Step-by-step explanation:
the steps are simply ,
44231
11^4021
Answer:
The Prime Factorization is:
11 x 4021
In Exponential Form:
111 x 40211
CSV Format:
11, 4021
All Factors of 44231:
1, 11, 4021, 44231
hope it helps
please mark Brainliest
Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?
Answer:
56
Step-by-step explanation:
Mrs. Sprott is planting a square garden in her backyard. The garden will
measure x feet on each side. Which function will give F(x), the area in
square feet of the garden?
Answer:
The answer the above question is f(x) = x²
Answer:
fdybg
gyani
2574387y
sngsrh
funddhhtffdsdnjjj
Two trains leave the station at the same, one heading west and the other east. The westbound train travels at 55 miles per hour. The eastbound train travels at 75 miles per hour. How long will it take for the two trains to be 156 miles apart?
The time that taken for the two trains is 1.2 hours.
The computation of the time taken for the two trains is shown below:
Given that
The westbound train travels 55 miles per hour.
And, the eastbound train travels 75 miles per hour.
So, the total speed is
= 55 miles per hour + 75 miles per hour
= 130 miles per hour
The distance is 156 miles
So, the time taken is
[tex]= \frac{distance}{speed}\\\\= \frac{156\ miles}{130\ miles\ per\ hour}\\\\[/tex]
= 1.2 hours
Therefore we can conclude that the time that taken for the two trains is 1.2 hours.
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Answer:
1.2 hours
Step-by-step explanation:
Given data:
Speed of the westbound train = [tex]55 miles/hr[/tex]
Speed of the eastbound train = [tex]75 miles/hr[/tex]
Since the trains are moving in the opposite direction their relative speed becomes,
[tex]55 miles/hr +75 miles/hr=130 miles/hr[/tex].
Since, time = distance / speed
Now the time taken for the two trains to be 156 miles apart
[tex]time = \frac{156 miles}{130 miles/hr} \\=1.2 hours[/tex]
Hence, the time taken for the two trains to be 156 miles apart = [tex]1.2 hours[/tex]
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There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?
Answer:
2/15
Step-by-step explanation:
2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens
P(red) = red/total = 4/10 = 2/5
Keep the pen
2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens
P(red) = red/total = 3/9 = 1/3
P(red,red) = 2/5 * 1/3 = 2/15
Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram
Solution :
Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.
So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.
Thus in the quadrilateral ABCD we see that :
1. AC and DB are the diagonals of quadrilateral ABCD.
2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)
3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )
4. Angle ABE is congruent to angle CDE. (Angle side angle)
5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)
Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.
Answer:
△ABE and△CDE by side-angle-side
Place parentheses in the following equation to make it true.
6+6/6x6-6= 0
Answer: (6+6/6)*(6-6)= 0
Draw a 6 × 6 grid. Colour 1
4
of the grid red, 1
3
blue, and the remaining part
yellow.
a) How many squares are red? b) How many squares are blue?
c) What fraction of the grid is yellow?
Answer:
Step-by-step explanation:
there are 36 squares
red takes 1 of 4 so red has 9
blue takes 1 of 3 so blue has 12
5 of 12 of the grid is yellow
The value of n is a distance of 2 units from -1 on a number line which numbers can be the value of n
Answer:
{-3, 1}
Step-by-step explanation:
If n is to the right of center -1 on a number line, we ADD 2 to -1, obtaining 1. Here n is 1.
If n is the left of center -1 on a number line, we SUBTRACT 2 from -1, obtaining -3. Here n is -3.
Find the value of
x for which ABCD
must be a
parallelogram.
6
54
3
27
Answer:
3
Step-by-step explanation:
As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:
-9-6x = x-30
7x=21
x=3
help me solve this i dont kow how to do this i was absent in class when my teaacher taught this doont send video just answer
8:-
[tex]\\ \sf \longmapsto 5x+20=40[/tex]
[tex]\\ \sf \longmapsto 5x=40-20[/tex]
[tex]\\ \sf \longmapsto 5x=20[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{20}{5}[/tex]
[tex]\\ \sf \longmapsto x=4[/tex]
9:-
As its a isosceles triangle
x=y[tex]\\ \sf \longmapsto x+y+60=180[/tex]
[tex]\\ \sf \longmapsto 2x+60=180[/tex]
[tex]\\ \sf \longmapsto 2x=120[/tex]
[tex]\\ \sf \longmapsto x=y=60[/tex]
and[tex]\\ \sf \longmapsto z=x+60÷60+60=120[/tex]
What is an equation of the line that passes through the points (-6, -8) and (-3,-3)?
Answer:
y = 5/3x+2
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 - -8)/( -3 - -6)
= ( -3+8) / (-3+6)
= 5/3
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
Substituting the point (-3,-3)
-3 = 5/3(-3) + b
-3 = -5+b
-3+5 = b
2 = b
y = 5/3x+2
Given points
(-6,-8)(-3,-3)First find the slope
[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]
Now
[tex]\boxed{\sf y=mx+b}[/tex]
[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]
[tex]\\ \sf\longmapsto b=2[/tex]
Hence the equation will be
[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]
whats the volume the triangular prism?
Answer:
Step-by-step explanation:
B ----> Base Area
Base is triangle
base = b = 10 in
height = h = 6 in
Area of base B = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]
B = 30 in²
H = 15 in
Volume of triangular prism = BH
= 30 * 15
= 450 in³
1. A soccer team is to be selected from a group of 24 players. Of them, one-third is below 16 years of age, one-fourth is in the age group 16 to 18 years and the remaining are above 18 years.
(a) What fraction of players is above 18 years of age?
(b) If all players of age above 18 are selected, how many players are above 18 years of age?
Answer:
(a).5/12
(b).10 players
Step-by-step explanation:
a.
⅓+¼=7/12
Remaining=5/12
b.5/12of 24 =10 players
PLz, Help fast! 100 points
A line is drawn on a scatter plot, as shown below:
A graph shows values till 10 on both x- and y axis with increments of 1.Dots are shown at 0.5, 7.5 and 1.8, 6.5 and 3, 6 and 4.4, 5 and 4.8, 4 and 5.9, 3.2 and 6.6, 2 and 7.5, 2.5 and 8, 1 and 8.8, 0. A straight line joins the ordered pairs 0, 7.9 and 10, 0.
Which statement best describes the line?
Answer:
It can be the line of best fit because it closely fits the data points.
Step-by-step explanation:
The line is near the data points and goes down from left to right just like the data points. It is just above or just below the data points.
Answer:
guy above is right
Step-by-step explanation:
Samia created the following tables of values for a linear system. She concluded that there is no
solution to the system
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
How many solutions do a system of linear lines have?A system of equations, involving two linear lines has solutions as follows:
Unique Solution: When the lines intersect, the point of intersection is the solution.No Solution: When the lines are parallel, no solution exists.Infinite Solution: When the lines coincide, then all points on the line become solutions, giving an infinite number of solutions.How to solve the question?In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.
We are asked to comment on her conclusion.
To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.
Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.
Thus, the slope for:-
Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.
Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.
Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
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Question 6 of 10 The triangles shown below may not be congruent. 1) 25° 55° 100° 100° 66° 25° O A. True O B. False
Answer:
True, they may not be congruent
Step-by-step explanation:
A figure cannot be determined as congruent from three angles alone. In order for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.
The triangles shown below may not be congruent is True statement.
What is Congruency?Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.
In both Triangle we can see that
2 Angles measures 25.
2 Angles measures 100.
and, 2 angles measures 55.
As, we know there no Congruence rule for AAA.
Thus, both triangles are not Congruent.
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A line passes through the point (0-4) and has a slope of 3/2
What is the equation of the line?
A. 3x – 2y = 8
B. 6x+4y=-8
C. 2x+4y=-1
D. 3x – 2y = 8
Answer:
y = 3/2 - 4
A. is the answer
A. 3x – 2y = 8
Step-by-step explanation:
3x – 2y = 8
-2y =8 - 3x
y = - 4 + 3/2x
y= 3/2x - 4
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{3}{2}[/tex] and c = - 4 , then
y = [tex]\frac{3}{2}[/tex] x - 4 ← equation in slope- intercept form
Multiply through by 2 to clear the fraction
2y = 3x - 8 ( subtract 2y from both sides )
0 = 3x - 2y - 8 ( add 8 to both sides )
8 = 3x - 2y , that is
3x - 2y = 8 ← in standard form → D
nent
Which expressions are equivalent to 7-2.76?
Choose 2 answers:
W
1
3 min
A
72
7-2
icals
B В
76
7-2
7-12
z 25
D
(72)2
molitvin
7^2/7^-2 and (7^2)^2
Please help explanation if possible
Answer:
Jordans' age = 31 ; Anna's age = 19
Step-by-step explanation:
Given the 2 equations relating their ages
J + A = 50 → (1)
J = 12 + A → (2)
Substitute J = 12 + A into (1)
12 + A + A = 50
12 + 2A = 50 ( subtract 12 from both sides )
2A = 38 ( divide both sides by 2 )
A = 19
Substitute A = 19 into (2)
J = 12 + 19 = 31
Then Jordans' age = 31 ; Anna's age = 19
Answer:
Step-by-step explanation:
J = 12 + A equation 1
J + A = 50 equation 2
Solving equation 2
J + A = 50
A = 50 - J equation 3
Putting value of A in equation 1
J = 12 + A
J = 12 + 50 - J
Bringing like terms on one side
J + J = 12 + 50
2J = 62
J = 62/2 = 31
Putting value of J in equation 3
A = 50 - J
A = 50 - 31 = 19
Checking answer by putting values in equation 2
J + A = 50
31 + 19 = 50
50 = 50
So the age of Jordan is 31 and Anna is 19
PLS HELP ME
The width of a rectangle is 20m to 2 significant figures
The length of a rectangle is 40m to 1 significant figure
What is the shortest perimeter the rectangle could have?
Answer:
80m
Step-by-step explanation:
(20x2) =40m + 40m= 80m
Divide. Write your answer as a decimal.
8.722÷(−3.56)=
Answer:
-2.45
Step-by-step explanation:
Answer:
-2.45
Step-by-step explanation:
A square has an area of 100 m squared. What is the length of each side?
Answer:
10m
Step-by-step explanation:
area of a square =s^2
therefore s^2=100
s= under root 100
= 10
