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
The sum of two numbers, x and y, is 12. The difference of four times the larger number and two times the smaller number is 18. Which system of equations should you use to find the two numbers?
Answers
Answer:
4x – 2y = 18
Step-by-step explanation:
Hope this helps!
What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.
Point 1 = (0, -2)
Point 2 = (-2, 0)
Slope-Formula: (y2 - y1) / (x2 - x1)
Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.
(0 - - 2) / (-2 - 0)
(2) / (-2)
-1
The slope of the line is -1.
Hope this helps!! :)
Answer: -1
Step-by-step explanation:
-6/6= -1
Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.
---Round answers to nearest cent
Answers
Answer:
See belowStep-by-step explanation:
Given:
Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055a. compounded semiannually, n = 2
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]b. compounded quarterly, n = 4
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]c. compounded monthly, n = 12
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]d. compounded continuously
[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]what is 2 over 5 + 3 over 7=
Answers
Answer:
[tex]\frac{29}{35}[/tex] Is correct answer
Step-by-step explanation:
Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.
Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.
Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.
Step 2: Since our denominators match, we can add the numerators.
14 + 15 = 29
That gives us an answer of = [tex]\frac{29}{35}[/tex]
In pic
(Hope this helps can I pls have brainlist (crown)☺️
Just pleasssssssssss help me.
Answers
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
3/14, 2/7, 1/2
1st you would need to find a common denominator which would be 14.
3/14 =3/14
1/2 = 7/14
2/7 = 4/14
Then you can compare them easier and see that the order is 3/14, 2/7, 1/2
Hope this helps :D
9р - Зр equivalent expression
Answers
Answer:
6p
Step-by-step explanation:
9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.
Seven large hamburgers are shared equally among twelve people at a dinner. Which of the following shows the amount of a hamburger that each person eats?
Answers
cut 6 into half's and spit the last into 7th's
what is 3,936.58 rounded to the nearest 1,000
Answers
Answer:
936.58
Step-by-step explanation:
How to solve 589 divided by 41
Answers
Answer:
14.365
Step-by-step explanation:
do long division or put it in a calculator
what does N equal because i dont know
Answers
Answer:
N = Natural numbers
Find the odd one out
1. 33
2. 57
3. 79
4. 13
5. 93
6. 52
Answers
Answer:
52
Step-by-step explanation:
All of these are odd numbers 52 isn't not a odd number so it doesn't belong...
(7x)(2xy) how do I rewrite that as a sum
Answers
What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.
Answers
Answer:
Step-by-step explanation:
the lengths of the line segments
Which of the following algebraic expressions will translate “the sum of eight and twice w”?
A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.
Answers
d
8+2x is the correct answer
Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment
Answers
Answer:
0.0003
Step-by-step explanation:
What are the terms in the expression 2d + 7 + 5f?
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answers
Answer: 2d, 7, and 5f
Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."
PLS PLS PLS HELP ME ILL GIVE 20 points.
Answers
Answer:
if you want to know the x is.
Step-by-step explanation:
(180°－4x)+(180°－6x)+2x=180°
x=22.5°
5.5 minutes = 330 seconds
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
330 Seconds = 5.5 Minutes = 5 Minutes and 30 Seconds
Answer:
False :-
Step-by-step explanation:
5 mins = 300 secs
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
Answers
Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.
Answers
Step-by-step explanation:
Evaluate:
-[-1⅘ ÷ 0.3(1.2)] - 5/6
⇛-[- 20/5 ÷ 0.3(1.2)]-5/6
⇛- [-20/5 ÷ 0.36] - 5/6
⇛-[-20/5 ÷ 36/100] - 5/6
Here I have changed in expression decimal point into fraction by putting 100 in Denominator.
⇛-[-20/5 × 100/36] - 5/6
⇛-[(-20 × 100)/(5×36)] - 5/6
⇛-[-2000/180]-5/6
Remember (-) × (-) = +.
⇛2000/180 - 5/6
Now, LCM of the denominator 6 and 180 is 180.
⇛(2000 - 150)/180
⇛1850/180
Now, reduce the fraction by extracting and cancaling out by 2.
⇛825/80
Again reduce the fraction by extracting and cancaling out by 5.
⇛165/16 Ans.
Hope this helps!!
Factor completely. 81 p 8 − 100 =
Answers
Answer:
Step-by-step explanation:
[tex]81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\[/tex]
Heyyyyy help mee please
Answers
A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.
Answers
Basically let's represent the number of girls with x.
There are 6 more boys than girls, so x+6
Let's sum it all up
x+x+6=40
Collect like terms;
2x+6=40
2x=40-6
2x= 34
Divide both sides by 2
x=17
17+6=23
Therefore there are 17 girls in the class and 23 boys.
please mark Brainliest.
What is the equation of the following line be sure to scroll down first to see all answer options
Answers
Answer:
b
Step-by-step explanation:
mark me as brainliest have a great day
What is the equation in point slope form for a linear function with a slope of m = -4 that passes through the
point (2,- 7)?
Answers
The equation for point slope form is
y - y1 = m(x - x1) where m represents the slope.
It coordinates and slope are given, they just need to be plugged into the equation.
y - (-7) = -4(x - 2)
Subtracting a negative can be written as adding a positive, so the equation can be simplified as:
y + 7 = -4(x - 2)
8. Solve the system. (1 point)
x+y=5
-2x+4y=8
Answers
Step-by-step explanation:
multiply the first equation by 2 and then add both equations.
2x + 2y = 10
-2x + 4y = 8
---------------------
0 + 6y = 18
y = 3
x + y = 5
x + 3 = 5
x = 2
HELP!!!! PLEASE URGENT!!! IM BEING TIMED!!! thank you
Answers
Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference
b. What would be a30
Answers
Answer:
65
Step-by-step explanation:
a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence
b. in this case, a = 7 and d =2
the equation would be a30 = 7 + (30-1)2
solving this gives us 65
2w + y = 6
a. Find y if w = -4
b. Find y if w = 10
Answers
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6
Answer:
a. Find y if w = -4 --- y = 14
b. Find y if w = 10 --- y = -14
Step-by-step explanation:
This is all about substitution!! For question a, we need to substitute "w" with "-4" ...
2 (-4) + y = 6
We know that a positive time a negative equals a negative...so 2 · -4 is -8.
-8 + y = 6
Now let's add 8 on both sides to isolate the variable...which equals to
y = 14
Onto question b...We substitute w with 10.
2 (10) + y = 6
= 20 + y = 6
Subtract 20 from both sides to isolate "y"
y = -14
Hope this helpsss :D
Please answer. Don't spam!
Answers
Hello Gumiho!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Find the distance.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Refer to the attached picture for the steps.
Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]
__________________
Hope it'll help you!
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