Answers
Answer:
Step-by-step explanation:
Good job on creating a testable equation.
Maybe you need to know what to do with it.
If we can find a real solution or two, then the projectile will reach the 100 ft altitude. (I'm fairly certain it will given that high initial velocity)
If we cannot find a real solution, then the rocket will fail to reach the altitude goal.
-16t² + 80t + 4 = 100
we will want a zero on the right hand side, so subtract 100
-16t² + 80t - 96 = 0
we can simplify even further by dividing everything by -16
t² - 5t + 6 = 0
which can be factored
(t - 3)(t - 2) = 0
so either
t = 3 s
or
t = 2 s
So the projectile reaches the 100 ft level twice,
at two seconds after launch while rising and
at three seconds after launch while falling.
Lets see what happens when we set the goal a bit higher, say 108 ft
-16t² + 80t + 4 = 108
-16t² + 80t - 104= 0
-2t² + 10t - 13 = 0
not easily factored so let's use quadratic formula
t = (-10 ±√(10² - 4(-2)(-13))) / (2(-2)
t = (-10 ±√-4) / -4
As √-4 = 2i is an imaginary number, there are no real solutions and the projectile will not reach 108 ft.
Related Questions
Please help!! Thank you so much in advance :)
Answers
Answer:
Step-by-step explanation:
x = 1 - i sqrt(2) ^ y = 10 + i sqrt(2)
x = 1 + i sqrt(2) ^ y = 10 - i sqrt(2)
Answer:
Step-by-step explanation:
y = 11 - x ----------(I)
y = 2x² - 4x + 6 -----------(II)
Substitute y = 11- x in (II)
11 - x = 2x² - 4x + 6
0 = 2x² - 4x + x + 6 - 11
0 = 2x² - 3x - 5
2x² - 3x - 5 = 0
Sum = -3
Product = -10
Factors = -5 , 2
2x² - 5x + 2x - 5 = 0
x(2x - 5) + (2x - 5) = 0
(2x -5 )(x +1)=0
2x - 5 = 0 ; x + 1 = 0
2x = 5 ; x = -1
x = 5/2
When x = -1 ; y = 11 - (-1) = 11 + 1 = 12
[tex]When x = \dfrac{5}{2} ; y = 11- \dfrac{5}{2}= \dfrac{22}{2}- \dfrac{5}{2}= \dfrac{17}{2}[/tex]
Solution: (-1 , 12) and (5/2 , 17/2)
Help help help help help help help help help help
Answers
Answer:
A (7,7)
B (10,4)
C (6,5)
Step-by-step explanation:
The translation rule shows that you have to move the coordinates 9 units right on the x axis, and 3 units up on the y axis.
Rafael is building a fence around his garden. For every 3 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
Answers
Answer:
4 = 30
7 = 42
8 = 48
10 = 60
Step-by-step explanation:
The first thing you'll want to do is find the price for 1 foot of fencing.
18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!
Answer:
30/18 = 1.666666667 x 3
1. 5/30
7/5 = 1.4 x 30 = 42
2. 7/42
48/42 = 1.4285714286 x 7 = 8
3. 8/48
10/8 = 1.25 x 48 = 60
4. 10/60
Step-by-step explanation:
you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.
the principal Will attend the class on Tuesday and Wednesday is it simple statement or compound statement
Answers
Answer:
compound
Step-by-step explanation:
because it has and
The given statement is a compound statement.
A simple statement is one that does not contain another statement as a component.
A compound statement contains at least one simple statement as a component, along with a logical operator, or connectives.
Given statement is,
The principal will attend the class on Tuesday and Wednesday
In above statement and is connective word.
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A.
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
B.
x f(x)
-3 9
-2 4
-1 1
0 0
1 1
2 4
C.
x f(x)
0 3
2 3
3 3
4 3
5 3
6 3
D.
x f(x)
0 -1
2 3
0 4
2 5
0 6
2 7
Which table does NOT represent a function?
A)A
B)B
C)C
D)D
Answers
Answer:
xf xf f1x2 x f, y. x y = 2x + 3,. 10, 32. for x = 0, y = 2x + 3 = 2 #0 + 3 = 3; and so on.
Step-by-step explanation:
Plz help I need help
Answers
Answer:
c
Step-by-step explanation:
the equation is basiclly:
3*1/5x-3*1/7
3/5x-3/7
Answer:
[tex]\frac{3}{5} x-\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]3(\frac{1}{5}x- \frac{1}{7} )[/tex]
[tex]\frac{3}{5} x-\frac{3}{7}[/tex]
Find the measure of two complementary angles if the measure of one is 15 degrees more than twice the measure of the other
Answers
Answer:
25 and 65
Step-by-step explanation:
Let one of the angles be x.
So, the other angle is 15 + 2x
complementary angles add up to 90 degrees.
so, we have
x + 2x + 15 = 90
3x + 15 = 90
Subtract 15 from both sides
3x = 75
solve for x
x = 25
so, the angles are 25 and 65
2 complementary angles sum up to 90°.
Take one angle as 'x'. Then, the other angle will be '15 + 2x'.
15 + 2x + x = 90°
15 + 3x = 90°
3x = 90 - 15
3x = 75
x = 75/3
x = 25°.
Measure of 1st angle (x°) = 25°
Measure of 2nd angle (15 + 2x°) = 15 + 2*25 = 65°.
=》 The 2 complementary angles are 25° & 65°.
________
RainbowSalt2222 ☔
Which expression gives the best estimate of 45 percent of 76?
Answers
Answer:
[tex]34\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{45}{100}*76[/tex]
[tex]\frac{171}{5} = 34\frac{1}{5}[/tex]
Answer:
Step-by-step explanation:
babababa
A rectangle has a length of 1.5abc and a width of 10abc find the area of the rectangle
Answers
Answer:
A = 15 a²b²c² square units
Step-by-step explanation:
Area of a rectangle = LW
A = (1.5abc)(10abc)
A = 15 a²b²c² square units
The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 188 feet. Find the width of the garden.
Answers
Answer:
44 Feet
Step-by-step explanation:
Trust me
Answer:
Width = 43 feet
Step-by-step explanation:
Given the 188-feet perimeter of a rectangular garden, for which its length is 8 feet longer than its width:
We can express the length of the rectangular garden as: 8 + W.
Hence, in order to solve for the length and the width of the rectangular garden, use the following formula for the perimeter of a rectangle:
Perimeter (P) = 2(L + W) or 2L + 2W = 188 feet
Length (L) = 8 + W
Width (W) = W
Substitute these values into the perimeter formula to solve for the value of the rectangular garden's dimensions:
P = 2L + 2W
188 feet = 2(8 + W) + 2W
Distribute 2 into the parenthesis, (8 + W):
188 = 16 + 2W + 2W
Combine like terms:
188 = 16 + 4W
Subtract 16 from both sides:
188 - 16 = 16 - 16 + 4W
172 = 4W
Divide both sides by 4 to solve for W:
[tex]\LARGE\mathsf{\frac{172}{4}\:=\:\frac{4W}{4}}[/tex]
W = 43
Therefore, the width of a rectangular garden is 43 feet.
Since we determined that the length is 8 + W, then it means that the length of the rectangular garden is 51 feet.
Verify the dimensions:Double-check whether we have the correct dimensions for the rectangular garden by substituting the length (L) = 51 feet, and the width (W) = 43 feet, into the perimeter formula:
P = 2L + 2W
188 feet = 2(51) + 2(43)
188 feet = 102 + 86
188 feet = 188 feet (True statement). This means that we have the correct dimensions for the rectangular garden.
Answers:Therefore, the width of a rectangular garden is 43 feet.
find the value of f(2) in f(x) = 3x ^4– x^ + 5x – 7
Answers
Step-by-step explanation:
f(2) = 3x^4 - x + 5x + 7
f(2) = 3(2)^4 - 2 + 5(2) + 7
f(2) = 3(16) - 2 + 10 + 7
f(2) = 48 + 15
f(2) = 63
The perimeter p of the rectangle equals 30. Find the value of X?
Answers
Answer:
13
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of width and height with 2
2*(4x-2+7x+9) = 300 solve inside the parenthesis
2*(11x+7) = 300 multiply inside the parenthesis with 2
22x + 14 = 300 subtract 14 from both sides
22x = 286 divide both sides by 22
x = 13
the test is already done but I don't have the answer scheme
Answers
Step-by-step explanation:
[tex] = {( \frac{3 {x}^{2} y}{x {y}^{ - 1} } )}^{2} \times ( \frac{4 {x}^{ \frac{1}{2}} {y}^{ - 2} }{ \sqrt{27 {x}^{3} } } )[/tex]
[tex] = {(3 {x}^{2 - 1} {y}^{1 - ( - 1)} )}^{2} \times (\frac{4 {x}^{ \frac{1}{2} } {y}^{ - 2} }{ {27}^{ \frac{1}{2} } {x}^{ \frac{3}{2} } } )[/tex]
[tex] = (3x {y}^{2} )^{2} \times ( \frac{4}{ {3}^{ \frac{3}{2} } } {x}^{ \frac{1}{2} - \frac{3}{2} } {y}^{ - 2} )[/tex]
[tex] =( {3}^{2} {x}^{1 \times 2} {y}^{2 \times 2} ) \times ( \frac{4}{ {3}^{ \frac{3}{2} } } {x}^{ - 1} {y}^{ - 2} )[/tex]
[tex] = ( {3}^{2} {x}^{2} {y}^{4} ) \times ( \frac{4}{ {3}^{ \frac{3}{2} } x {y}^{2} } )[/tex]
[tex] =4 \times {3}^{2 - \frac{3}{2} } {x}^{2 - 1} {y}^{4 - 2} [/tex]
[tex] = 4 \times {3}^{ \frac{1}{2} } x {y}^{2} [/tex]
[tex] = 4 \times \sqrt{3} xy[/tex]
[tex] = 4xy \sqrt{3} [/tex]
Which graph bet suits the following function?
[tex]y=(\frac{8}{9})^{x}[/tex]
Graph 1 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right becoming more steep, crosses the y-axis at y = 1, and exits the window at the approximate point (10, 3.2).
Graph 2 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right becoming more steep, crosses the y-axis at y = −1, and exits the window at the approximate point (10, −3.2).
Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, −3.2), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
Graph 4 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, 3.2), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis.
Answers
Step-by-step explanation:
Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, −3.2), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
5p+6>41
SHOW WORK.
giving brainiest
Answers
Answer:
P>7
Step-by-step explanation:
1) Subtract 6 from both sides.
5p>41-6
2) Simplify 41-6 to 35.
5p>35
3) Divide both sides by 5.
p>35/5
4) Simplify 35/5 to 7.
p>7
Select all the expressions whose value is larger than OR equal to 100.
A. 120% of 100
B. 50% of 250
C. 150% of 50
D. 20% of 800
E. 200% of 30
F. 500% of 400
G. 1% of 1,000
Answers
Answer:
A. 120% of 100
B. 50% of 250
D. 20% of 800
F. 500% of 400
Step-by-step explanation:
A:
[tex]\frac{120}{100} *100[/tex] [tex]120[/tex] 120 ≥ 100 ✓B:
[tex]\frac{50}{100} *250[/tex] [tex]\frac{12500}{100}[/tex] [tex]125[/tex] 125 ≥ 100 ✓D:
[tex]\frac{20}{100} * 800[/tex] [tex]\frac{16000}{100}[/tex] [tex]160[/tex] 160 ≥ 100 ✓F:
[tex]\frac{500}{100}*400[/tex] [tex]2000[/tex] 200 ≥ 100 ✓
Need the answer and steps please
Answers
Here is the histogram of a data distribution. All class widths are 1.
5
4
3
3
2
1
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution?
A. 7
O B. 5
C. 4
O D. 6
Answers
Answer:
D. 6
Step-by-step explanation:
So median means very middle, so mark off one side, then the other, then back and forth until you have 1 left
5 X
4 X
3 X X
2 X X X X X
1 X X X X X X X X
1 2 3 4 5 6 7 8 9 10
The answer is 6 because it is in the very middle when finding the median
are fractions 3/9,3/10,3/11,and 3/12 arranged in order from least to greatest or greatest to least
Answers
Answer:
They are arranged in order from greatest to least
Step-by-step explanation:
Since the numerator in these fraction are all the same, as smaller the denominator, as bigger the fraction. So these fractions are arranged in order from greatest to least.
Last year, the school library had a total of x books. Over the summer, the library acquired another 36 books and now has a total of 2,284 books. Which
equation could be used to find x, the number of books the library had last year
Answers
Answer:
the last year the eschool has 2248 books
Step-by-step explanation:
2284-36=2248
Answer:
2,248=2,284-36b
Step-by-step explanation:
since the library acquired(added) 36 books the library now has a total of 2,284 books.
To find out how many books the library had before they added 36 books you need to set up a simple equation.
2,284-36=2248
since you now know that before summer the library had 2,248 books you would write an equation and when you solve it you should get 2,248. The equation should be 2,248=2,284-36b. b representing the total number of books that were added.
Hope this helped you!
Convert decimals to fractions
Answers
Answer:I’m not sure if you had a file if so it’s not there but heres something else
Step-by-step explanation:
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
On a given blueprint, 1 in. = 16 ft. If the dimensions of the bedroom on the blueprint are 0.75 inches × 1.5 inches, what are its actual measurements?
Answers
Answer:
288ft
Step-by-step explanation:
1inche=16ft
0.75inches=0.75×16=12ft
1.5inches=1.5×16=24ft
so: 12ft×24ft=288ft
Solve this please math problem asap please
Answers
Answer:
87
Step-by-step explanation:
Hope this helps
If m = 8, how many solutions are there for the expression m - 8?
2
infinite
1
0
plsss give best answer will give brainlist
Answers
Answer:
[tex]^{}[/tex]wer here. Link below!
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?
Answers
Answer:x = amount of hours worked after school
y = amount of hours worked on saturday
x+%2B+y+=+13 or x+=+13+-+y
and
3x+%2B+4y+=+43
plug:
3%2813+-+y%29+%2B+4y+=+43
39+-+3y+%2B+4y+=+43
y+=+4
plug:
x+=+13+-+y
x+=+13+-+4+=+9
9 hours worked after school and 4 hours worked on saturday
Step-by-step explanation:
write an equation of the line below?
Answers
Solve 9x + 3y = 15 for y.
A. y=-3x + 15
B. y = 9x + 15
C. y = -9x + 5
D. y=-3x + 5
Answers
Answer: D) y = -3x + 5
Step-by-step explanation:
Move x.
3y = -9x + 15
Divide by 3.
y = -3x + 5
Hope it helps :) and let me know if you want me to elaborate.
Answer:
D. y = -3x + 5
Step-by-step explanation:
Subtract 9x from both sides
3y = 15 - 9x
y = 15/3 - 9x/3
y = 5 - 3x
y = -3x + 5
How many ways can you choose 7 coins consisting of dimes and nickels so that their total value does not exceed half a dollar?
O 3 ways
4 ways
O 2 ways
O 5 ways
Answers
Answer:
3 porque un dólar es solo uno, por lo que el dólar podría dividirse en 3
If 4 kg of pork cost $1200, which would give the cost of 9kg of pork?
Answers
4 kg of pork = $1200
Then, 1 kg of pork = $1200/4 = $300
Now, cost of 9 kg of pork = $300 × 9
=》Cost of 9 kg of pork = $2700
_____
RainbowSalt2222 ☔
Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden?
Answers
Answer:
66 dollars
Step-by-step explanation:
Justice needs $72 to fence in his garden.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Justice needs 24 feet of fencing to surround his garden.
The fencing is priced at $0.25 per inch.
Since, 1 foot = 12 inch
Hence, 24 feet = 24 x 12 inch = 288 inch.
Cost of the fencing in one inch = $0.25
So, Cost of the fencing in 288 inch = 288 x 0.25
= $72
Thus, Justice needs $72 to fence in his garden.
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