Answers
9514 1404 393
Answer:
13 ft(a) 1 second; (b) t = 0, t = 1/2Step-by-step explanation:
1.Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
2.(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Related Questions
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Answers
Adjoa take-home pay earned for the past month is Ghc4,265.46
From the question,
We are to determine the amount of take-home pay Adjoa earn the past month
From the given information, we have that
Adjoa’s gross salary for last month was Ghc4,687.24
Also
Ghc421.78 was deducted from Adjoa’s salary pay
To determine how much take-home pay Adjoa earn the past month,
We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month
That is,
Adjoa take-home pay = Ghc4,687.24 - Ghc421.78
Adjoa take-home pay = Ghc4,265.46
Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46
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How to Reduce -2/-6 to its lowest form?
Answers
Answer:
1/3. To reduce a fraction, divide both the numerator and denominator by the GCF.
Plz help I need help
Answers
Answer:
Proportional
Step-by-step explanation:
The measure of angle STV is 117°. What is the measure of angle UTV
Answers
Answer:
117 - 86 = 31°
The answe is 31
will mark brainlest answer the question in the picture linked below
and explain as well
Answers
Answer:
¹⁰√4
Step-by-step explanation:
4^(2/5*1/4)
4^(1/10)
¹⁰√4
Solve pleaseee !!!..
Answers
Answer:
x=76
Step-by-step explanation:
#CarryOnLearning
Answer:x=76
Step-by-step explanation:
Distribute: -4(x-26)=-200 -4x + 104 - 104 = -200
Subtract 104 from both sides of the equation
-4x + 104-104 = -200-104
Simplify
Subtract the numbers
-4x +104-104=-200 - 104
-4x=-200 - 104
Subtract the numbers
-4x = -200 - 104
-4x = -304
-4x = -304
Solution
x=76
wich one is bigger 4\5 or 0.8
Answers
Answer: They both equal the same thing.
Step-by-step explanation: 4/5=0.8
Answer: there both equal
Step-by-step explanation:
4/5 is basically 0.8 cuz 0.8 put a extra 0 in it its gonna say 0.80 and 4 x 20= 80. and that's 80/100 so yea..... 4/5 and 0.8 are equal.
this my first time answering. Sorry if I get it wrong TwT
Find the value of x
(Please please please help me I will give you brainliest!)
Answers
Answer:
55
Step-by-step explanation:
rectangular triangle
180-(35+90)=55
Answer:
55
Step-by-step explanation:
ANSWER QUICKLY!!!!!
Given the polynomial function
f(x)=x3−4x2+x+6
1) Name all of the possible rational roots for the function using the Rational Root Theorem.
2) Prove 2 is one of the zeroes of this function (show or describe your process).
3) Name all of the actual roots of this function and describe how you found them.
4) Write the original polynomial function f(x)=x3−4x2+x+6 in factored form.
Answers
Answer:
1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant
2. The polynomial is easier to evaluate when it is written in Horner form:
f(x) = ((x -4)x +1)x +6
To show that 2 is a zero, we want to find f(2):
f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0
f(2) = 0, so 2 is one of the zeros of this function
3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...
x = 2 (from above), x = 3, x = -1 (from our factorization)
4. In factored form, the polynomial can be written ...
f(x) = (x +1)(x -2)(x -3)
The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).
The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.
There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.
If there are 2,000 females and 2,000 males enrolled at a college and four different students are randomly selected to receive a book scholarship, what is the probability that at least one is female?
Calculate the probability two ways: a) treat as dependent selections and b) treat as independent selections.
Answers
Answer:
500
Step-by-step explanation:
you just divide 2000 by 4 and get 500
( sorry for the wired question )
researchers in New York city did a study on ice cream sales and murder rates in the city. this graph was included in the results
after seeing this graph as a picture with the headline "ice cream sales causes murder rates to increase" shared on social media by her best friend's second cousin, the president of a prominent HOA in the Hamptons decided to petition to ban the sale of ice cream so that people would stop being murdered .
this is the question - compare and contrast what you see on the graph.
second part to the question - was the HOA president right for doing so ? what other factors could have contributed to both the rise in ice cream sales and murders? is this an example of correlation or causation?
Answers
The presence of a correlation between statistical variables is an indication
of the existence of a relationship variables, it however, does not imply
direct causation.
Part one:
The similarities of the graphs are;
The rate of change in the sale ice cream and rate of murder are almost equal.The peak of ice cream sales and murder rate occur at the same time of the year.The rate of decrease in the sale of ice cream and murder rate are equal between the months of July and December.The differences are;
The shape of the ice cream sale graph is more bell shapes than the graph of murder rates.The murder rates occur over a slightly more longer period than than the sale of ice cream.There is a sharp decrease in the murder rate in the month of February while the ice cream sales increases steadily from January to July.Second part;
The HOA president's petition is in line with the social media post based on the graph.
The graph shows a strong correlation between murder rates and ice cream sales, however, selling ice cream, and murder are unrelated events.
The correlation between the sale of ice cream and murder is an indication of the existence of a common third factor.
Based on the time of the year dependence of the two variables, which corresponds to hot and cold weather, there is a correlation of both the murder rate and ice cream sales with temperature.
Therefore, the HOA president is not right for doing so
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how do line segments differ from distance?
Answers
Answer:
It has length, but not width and depth
A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
Answers
The probability of 1 number showing up out of 20 is 1/20
The probability of 3 different numbers showing up would be 3/20
Answer: 3/20
If AB= 4 units and DC=4 units , what is the length of BC
Answers
Answer:
4 units i think
Step-by-step explanation:
i dont know how beacuse 4 is answer
The average person’s speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to convert this speed to meters per hour?
StartFraction 1 kilometer Over 1,000 meters EndFraction
StartFraction 1 meter Over 1,000 kilometers EndFraction
StartFraction 1,000 meters Over 1 kilometer EndFraction
StartFraction 1,000 kilometers Over 1 meter EndFraction
Answers
Answer:
The given average speed = 18 km per hour
Now, as we know from the conversion parameters:
1000 meters = 1 km
or 1 meter = ( 1/ 1000) kilometer
So, we can use the above information to convert average speed into meters per hour.
The given speed = 18 km / hr = 18 x (1000) meters /hr
= 18,000 meters / hr
Step-by-step explanation:
plz help me to solve stepwise
Answers
Answer:
14 cm by 34m
Step-by-step explanation:
Which of the following coordinate points have a y-value of 6? Select all that apply.
A) (3, 6)
B) (6, 5)
C) (8, 6)
D) (1, 6)
Answers
Answer
A, C, and D
Step-by-step explanation:
You are trying to find the y value in (x,y) form. Therefore, it has to be A, C, and D because they all have a 6 in the y value.
HELP SOLVE PLEASEEE
Answers
Answer:
d. -6x + 2 = -15
for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.
Answers
Answer:
two triangles, the top of one figure with the bottom of the other figure, 8 and 4
Step-by-step explanation:
I am not sure if it's right but I hope it is!
Please help
Ignore the first 2 questions please
Answers
Answer:
12
Step-by-step explanation:
Waterfalls to Canoes = 6 units
-4 to +2 = 6Canoes to Fishing Area = 6 units
-2.5 to +3.5 = 6Total = 6+6 = 12
PLEASE IF YOUR A MATH EXPERT ANSWER THIS I'M LOSING MY SANITY
What is the value of 7m−3n when m = 3 and n = 2?
A: 5
B: 15
C: 24
D: 36
Answers
Answer:
B: 15
Step-by-step explanation:
To answer this question, simply plug in the values according to each variable. So, because m = 3, plug the m next to 7 with 3, so then that means that 7 is now multiplied by 3. Then, plug in 2 into n because n = 2, so 3 is being multiplied to n. This is what we get:
7(3) - 3(2)
Now, multiply!
21 - 6
Finally, solve:
21 - 6 = 15
Therefore, the answer is:
B: 15
Hope this helps :)
Explanation: First you plug in the values that are given m=3 and n=2
7(3) - 3(2)=
So then you multiple and it would be
21-6=
Then you subtract
21-6=15
There for the answer is B: 15
hhhhhhhhhhheeeellllpppppp me
Answers
Answer:
ooo acellus its A
Step-by-step explanation:
What is the slope of the line that contains these points
Answers
Answer:
Slope = - 5
Step-by-step explanation:
Let,
x1 = 13
x2 = 14
y1 = 11
y2 = 6
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 6 - 11 ) / ( 14 - 13 )
= - 5 / 1
Slope = - 5
Answer:
[tex]\boxed{\sf slope:-5}[/tex]
Step-by-step explanation:
Slope :
[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf ^*m=slope[/tex]
[tex]\sf (x_1, y_1): first \: coordinates[/tex]
[tex]\sf (x_2, y_2): second\: coordinates[/tex]
___________________
[tex]\sf \left(x_1,\:y_1\right):\left(13,\:11\right)[/tex]
[tex]\sf \left(x_2,\:y_2\right):\left(14,\:6\right)[/tex]
[tex]\sf slope\:(m)=\cfrac{6-11}{14-13}[/tex]
[tex]\sf slope\:(m)=-5[/tex]
____________________
Question 25
Multiply two or more consecutive integers to obtain a six-digit palindrome whose first two digits are “47”. What is the sum of these consecutive integers?
(A palindrome is a number that reads the same backwards as forwards)
Answers
Answer:
234Step-by-step explanation:
The number is in the form of:
47AA74This is divisible by 2, can be divisible by 3 but not divisible by 4 as 74 is not divisible by 4.
So possible number of integers is 2 or 3.
Two consecutive integersThere is no possible product ending with 4 (test it yourself)Three consecutive integersThe numbers are x - 1, x and x + 1
The product is between 470074 and 479974
Their product is between:
(x - 1)³ < x³ < (x + 1)³470074 ≤ x³ ≤ 479974∛470074 ≤ x ≤ ∛47997477.75 ≤ x ≤ 78.29x = 78 is the only integer within this intervalLets test:
77*78*79 = 474474Sum of these:
77 + 78 + 79 = 234Please please hurry!!!!! Help do as many as u can Sorry its blurry
Answers
Answer:
3. a,c
4. a,c
5. c
6. a
7. y=-9x
8. y=x+9
9. y=x-7,y=x+3
13. y=x+5
14. y=8x-2
15. y=5
Step-by-step explanation:
Sry for late response
Step-by-step explanation:
3. all three equations are in the form of
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
A and X both have a y intercept of 1 so A and C is the answer.
4. A megative slope is included by a negative sign so A and C is the answer.
5. The linear parent function is the identity function which is
[tex]y = x[/tex]
6. Since our points share the same y coordinate, our slope will be a horinzontal line which indicates a slope of zero.
7. The sleepest line has the greatest absolute value slope which is y=-9x.
8. The fattest has the smallest absolute value slope which is y=x+9.
9.The first and second one are parallel because they have the same slope
13.The second one does.
14. 8x+10 is greater slope than 5x.
15. y=5 because it has no y intercept
Tara bought 4 kg of walnuts for $7.85 per kg and 4 kg of almonds for $7.77 per kg. He gave the cashier a $100 bill. What should Tara get back in change?
Answers
Answer:
$37.52
Step-by-step explanation:
A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal places.
Answers
Answer:
the magnitude of the vector is 11.40
what percent of the bottle of orange juice is water?
___% water
Answers
Orange juice that is 100 % orange juice is usally 88 % water
Answer:
88 percent is water and the rest is apple juice
4) Sally has 10 purple beads, 25 yellow beads and 30 red beads. She is
going to make identical bracelets for her friends. What is the maximum
number of bracelets she can make if she wanted to use all her beads?
Answers
Answer:
5 bracelets
Step-by-step explanation:
The common factor of 10, 25 and 30 is 5
this means that each bracelet will have 2 purple, 5 yellow and 6 red.
Answer:
5 Bracelets
Step-by-step explanation:
the common factor of the numbers 10 25 and 30 is 5
5×2= 10
5× 5 = 25
5x6= 30
these numbers are also multiples of 5.
What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50
Answers
The amount of tax that will be deducted will be A. $14.05
Amount given = $562Tax percentage = 2 1/2%In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:
= $562 × 2 1/2%
= $14.05
Therefore, the amount of tax that will be deducted will be $14.05
In conclusion, the correct option is A.
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