Answers
Answer:
(5, negative infinity)
Related Questions
Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answers
Answer:
4 ft higher
Step-by-step explanation:
Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.
So, by Pythagoras' theorem,
10² = 6² + d² (the length of the ladder is the hypotenuse side)
d² = 10² - 6²
d² = 100 - 36
d² = 64
d = √64
d = 8 ft
Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.
Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).
Now, applying Pythagoras' theorem to the ladder with these new lengths, we have
10² = (6 + x)² + (8 - 2x)²
Expanding the brackets, we have
100 = 36 + 12x + x² + 64 - 32x + 4x²
collecting like terms, we have
100 = 4x² + x² + 12x - 32x + 64 + 36
100 = 5x² - 20x + 100
Subtracting 100 from both sides, we have
100 - 100 = 5x² - 20x + 100 - 100
5x² - 20x = 0
Factorizing, we have
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0 or x = 4
The top of the ladder is thus 4 ft higher
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers from this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following correctly interprets the 90% confidence interval for the true mean number of hours teenagers from this town watch sports?
90% of all teenagers from this town watch sports for the number of hours that lie between the values in the interval.
In repeated sampling, 90% of the time, the true mean number of hours teens from this town watch sports will be 6.25 hours.
The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.
In repeated sampling, 90% of the time the true mean number of hours teens from this town watch sports will be captured in the constructed interval.
Answers
Answer:
c. The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.
Step-by-step explanation:
got it right on edge
The statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
First, we will find the 90% confidence interval:
We have:
X = 6.25 hours, SD =4.33 hours, n = 40
90% confidence interval:
= (X±t×s/√n)
For 90% confidence interval:
t = t(n-1), 1-α/2 = t(39), 0.95 = 1.685
After putting all the values in the above confidence interval, formula:
We get:
Confidence interval = (5.097, 7.404)
Thus, the statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?
Answers
Answer:
28
Step-by-step explanation:
Solve for the values of x and y:
y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Answers
Answer:
x= 3, y= 4
Step-by-step explanation:
y= 3x -5 -----(i)
y= -x +7 -----(ii)
Substitute (i) into (ii):
3x -5= -x +7
3x +x= 7 +5
4x= 12
x= 12 ÷4 (÷4 on both sides)
x= 3
Substitute x= 3 into (ii):
y= -3 +7
y= 4
Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.
Answers
Answer:
The distance between Mary's house and her grandmother's house is approximately 49.73 miles.
The 3 traveled the following distances:
Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.
Step-by-step explanation:
Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.
Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that
[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]
[tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]
Mary's route was 49.73 square miles, to sum it up.
Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]
As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.
Answer:
49.73
Mary, Theo, Nancy
Step-by-step explanation:
Approximately how many miles did Mary drive to her grandmother’s house?
✔ 49.73
Order the distances that each family member drove to their grandmother’s house from least to greatest.
✔ Mary, Theo, Nancy
(b) A train of length 120 m is travelling at 144km/h.
It passes under a bridge of width 20m.
Find the time taken for the whole train to pass under the bridge.
Give your answer in seconds.
Answers
Answer:
3 seconds.
Step-by-step explanation:
First calculate the time for each 20m length to pass through the bridge.
The train takes 3600 seconds to travel 144,000 m
So it takes 3600/144000 seconds to travel 1m.
and 3600 * 20 / 144000 seconds to travel 20 m.
As the train is 120 m long and there are 6 * 20 m in 120m the answer is:
3600 * 20 * 6 / 144000 seconds.
= 3 seconds.
Write the numbers -2.1, -1.8, -2.5 and -2.7 from greatest to least.
Answers
Answer:
-1.8, -2.1, -2.5, -2.7
hope it helps.
The table shows Emily's monthly budget. Emily earns $1,300 a month.
Monthly Budget
Expense Amount of Money
Clothes
$260
Food
$350
Cell phone
$75
College savings
$195
Car payment
$300
Other
$120
Which statement is NOT supported by the information in the table?
Answers
Answer:75
Step-by-step explanation:
Is (x + 2) a factor of 3x3 + 4x2 - 4 ?
Answers
Answer:
No it is not a factor
Step-by-step explanation:
Reason for not being a factor is 3x^3-4x^2-4x. 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x. Factor x x out of 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x
Who here absolutely hxtes school.(and hxte is such a strong word I despise school)???.........because teachers constantly pack work on you and don't stop til you get tired and then you don't do the work at all, but they have the nerve to call you "lxzy" when you have been really working hard on your grades and your parents can't understand why you are about to fail so they try and compare school then and school now but you get annxyed because everyone knows school has changed and with the pandemic they have no right to call you "ungrxteful"......On top of that you have three major test coming up because school isn't even about learning it's about passing with all this stxpid irrelevant extra algebra they teach in math...that had no affect on the career you wanna do or what you want to do in your life.....but apparently in school they want you to be under pressure and stressed out....school is the reason i need ther.apy, school is apart of the reason why I don't like existing that much, and school is the reason why i have anx.iety and i feel my self slowly slipping into depr.ession.......ya know what lets just call this a POV
and if you like school....the LUCKY YOU (enjoy it while you can) smh
Answers
Answer:
Lol
Step-by-step explanation:
Find the area of the circle with a diameter of 12 m.
a 95.64 m2
b 112.27 m2
C 113.04 m2
d 210.36 m2
Answers
Answer:
113.04 is our answer
Step-by-step explanation:
When finding Area the formula to do so is
radius x radius x pi
Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So
3.14 x 36 = 113.04 So c is our answer!
50 POINTS FOR BRAINLIEST (also $45 prize given on a cash sending app)
use a calculator if needed
Javier estimates the square root of 18 in the following way:
18−−√=29–√=2∗3=6
18=29=2∗3=6
Explain why her reasoning is incorrect.
Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Answers
Answer:
The square root will be about 4 because the formula for square root is √(x^2) = x
Step-by-step explanation:
Answer:
√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.
4x4 = 16
5x5 = 25
so √18 is between 4 and 5. closer to 4
Step-by-step explanation:
Dominic spent hours on his art project. Rachel worked times as long on her art project as Dominic worked. For how many hours did Rachel work on her art project?
Answers
Answer:
Rachel worked for [tex]3\frac{2}{3}[/tex] hours
Step-by-step explanation:
See comment for complete question
Given
Let
[tex]D = Dominic[/tex]
[tex]R = Rachel[/tex]
So:
[tex]D = 2\frac{3}{4}[/tex]
and
[tex]R =1\frac{1}{3}[/tex] as long as D
Required
Determine the number of hours spent by Rachel
This implies that:
[tex]R =1\frac{1}{3}[/tex] as long as D
Rewrite as:
[tex]R =1\frac{1}{3} * D[/tex]
Substitute: [tex]D = 2\frac{3}{4}[/tex]
[tex]R =1\frac{1}{3} * 2\frac{3}{4}[/tex]
Express as improper fraction
[tex]R =\frac{4}{3} * \frac{11}{4}[/tex]
This gives:
[tex]R =\frac{1}{3} * 11[/tex]
[tex]R =\frac{11}{3}[/tex]
Express as mixed numbers
[tex]R =3\frac{2}{3}[/tex]
Hence, Rachel worked for [tex]3\frac{2}{3}[/tex] hours
The list shows the growth in centimeters of students in two years.
6, 7, 8, 8, 8, 8, 9, 9, 10, 11, 11, 12, 14
Which box plot best displays a summary of these data?
Answers
Answer:
D
Step-by-step explanation:
Answer.
Step-by-step explanation:
Given the data set below, which is the best measure of center? 5, 1, 3, 2, 12, 10, 63, 2, 7
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
hope it helped you out
Please help ASAP!!!
Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travel 30 miles per hour faster than the other plane and they meet in one hour, what are their respective speeds?
Thank you, thank you, thank you!!
Answers
Let the speed of the first plane be x then the speed of the second plane would be x + 30
The combined speed is x + x + 30 = 2x + 30
2x + 30 = 380
Subtract 30 from both sides
2x = 350
Divide both sides by 2
X = 175
The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour
At a point 70 feet from a tree, a forester measures the angle of elevation to the top of the tree to be 62°. How tall is the tree to the nearest foot?
Answers
Answer:
The tree is about 62ft tall
Step-by-step explanation:
sin(62)=x/70
70sin(62)=x
61.8=x
Help I’ll give brainliest!
Answers
Answer:
-5
Step-by-step explanation:
Gradient/ slope = [tex]\frac{-8-7}{ 5-2}[/tex](change in y/ change in x)
= [tex]\frac{-15}{3} = -5[/tex]
jerry has a water tank that holds 5 gallons of water. jerry drinks 4 pints of water a day. how many full tanks of water will he drink in 30 days?
Answers
Answer:
3
Step-by-step explanation:
first of all, 8 pints=1 gallon
multiply 4 by the number of days which is 30 so you get 120. then divide by 8 (pints) to find the number of gallons. you come out with 15 gallons. each tank has 5 gallons, so 15 divided by 5 is 3.
Write a system of equations that represents the situation.
The sum of two numbers is 15. The second number is equal to the first number plus 1.
Let x = the first number Let y = the second number
First sentence: Equation 1:
Second sentence: Equation 2:
Do not include spaces in your equations.
Part 2: Find the numbers. ( ,)
Answers
Answer:
See below.
Step-by-step explanation:
Let x = the first number
Let y = the second number
First sentence: Equation 1: x+y=15
Second sentence: Equation 2: y=x+1
Part 2: Find the numbers.
x + y = 15
y = x + 1
x + x + 1 = 15
2x + 1 = 15
2x = 14
x = 7
y = x + 1 = 7 + 1 = 8
The numbers are 7 and 8.
Answer:
x = 7
y = 8
Step-by-step explanation:
x + y = 15
y = x + 1
Part 2:
x + (x + 1) = 15
x + x + 1 - 1 = 15 - 1
2x = 14
2x/2 = 14/2
x = 7
y = 7 + 1
y = 8
Therefore, x = 7 and y = 8
In science class, students are mixing water and a citric acid solution. The table shows how much water and acid solution two students use. Whose mixture is more acidic?
Answers
Answer:
the one with the most parts citric acid
Step-by-step explanation:
no tables were provided but if a cup is 3/4 water and 1/4 citric acid and the other is 1/4 water and 3/4 citric acid then it's the second one. Basically it the one with the most citric acid.
Is 27 an irrational number?
Answers
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Its rational
If ur sqare rooting it than yes it is
what is 66.66 as a fraction
Answers
Answer:
The answer to this question is 3333/50
Answer:
66.66 as a fraction is [tex]{66}\frac{33}{50}[/tex]
Step-by-step explanation:
a circle has a diameter of 3.8n cm. what is the area of the circle?
Answers
Answer:
11.34 cm.
Step-by-step explanation:
have a nice dayyy!! :)
What is the solution for -3n = 12
Answers
Answer:
-4
Step-by-step explanation:
Answer:
n = -4
because
-3n=12
n=12/-3
n=-4
Which expression is equal to 4y?
y + 3
y2 + y2
3у + 1
y+ y + y + y
Answers
2y+2y=4y
Y+y+y+y=4y
Answer:
D. y + y + y + y
Step-by-step explanation:
Solve the Inequality for x
x/2+3/2<5/2
Answers
Answer:
x<2
Step-by-step explanation:
I didnt feel like typing it out but the explanation is in the picture hope this helps :)
explain truth tables and how they work
Answers
A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.
If n/12 = 15/36 , then n= ___.
pls help me!
Answers
Answer: n=5
have an amazing day <3
12 x ? = 36
12 x 3 =36
15 / 3 = 5
N= 5
What is the solution to the equation 4w=2/3?
w=2/12
w=2/7
w=8/3
w=3 1/3
Answers
Answer:
2/12
Step-by-step explanation:
4w=2/3
1/4(4w)=1/4 x 2/3
w=2/12