Answer:
4.93 seconds
Step-by-step explanation:
The height y in feet of water t seconds after its release is given by the equation as follows :
[tex]y=-16t^2-2t+400[/tex]
We need to find the taken taken for the water to reach the ground. When it reach the ground, y will be equal to 0. So,
[tex]-16t^2-2t+400=0[/tex]
Above is a quadratic equation whose solutions can be calculated as follows :
[tex]t=\dfrac{-(-2)\pm \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=\dfrac{-(-2)+ \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}, \dfrac{-(-2)- \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=-5.062\ s\ \text{and}\ 4.93\ s[/tex]
Neglecting negative value.
Hence, it will take 4.93 seconds for the water to reach the ground
help someone pls !!!
Answer:
its A
Step-by-step explanation:
6. Describe and correct the error in solving the equation.
X Х
0.4x = 0.2(x.-8)
0.4x = 0.2 x - 8
0.2x = -8
x = -4.
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A. -4
B. -2
C. -1
D. 1
Answer:
The answer would be A. -4
Step-by-step explanation:
If you right it out like x-6=5(x+2), then you distribute the 5, you get: x-6=5x+10. Then subtract x from both sides, you get: -6=4x+10. Subtract 10 from both sides, you get: -16=4x. The all you have to do is divide both sides by 4, and you get: -4=x
12.4 x -1.35
A. 1.674
B. -16.74
C. -1.674
D. 16.74
It Would Be 16.74
Calculate the cross product of two given vectors.
Use determinants to calculate a cross product.
Find a vector orthogonal to two given vectors.
Determine areas and volumes by using the cross product.
Calculate the torque of a given force and position vector
A rental company rents a luxury car at a daily rate of 39.11 $ plus $.50 per mile. Is allotted100 $ for car rental each day. Write an equation to represent the cost C of renting a c ar and driving x miles. How many miles can travel on the 100$?
Answer:
- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x
- $100 can travel 121.78 miles
Step-by-step explanation:
From the question, a rental company rents a luxury car at a daily rate of 39.11 $ plus $.50 per mile, that is
$0.50 is added to the initial $39.11 for every mile.
The equation that represent the cost C of renting a car and driving x miles is
C = $39.11 + $0.50x
Now, to determine how many miles 100$ can travel,
we will put C = $100, and determine x in the above equation
$100 = $39.11 + $0.50x
$100 - $39.11 = $0.50x
$60.89 = $0.50x
x = $60.89/$0.50
x = 121.78
Hence, $100 can travel 121.78 miles
Which of the lines graphed has a slope of 1 and a y-intercept of -3?
An electronics superstore normally sells a new smartphone for $200, but it is currently offering a 50% discount off the price. The same phone is available online for $200; the website is offering 25% off the phone, plus another 25% discount off all purchases. Where should you buy the phone to get the better deal? Why?
Answer: They are equal, but if you are buying something else with it,, say a case, the website
Step-by-step explanation:
Website:
1/4 +1/4 = 1/2
Store:
1/2
Answer:
the 50% off is the better deal
Step-by-step explanation:
200 x .50= 100 so on the first phone you save $100
the website you get 25% off so .25 x 200=50 so 200 - 50 =150 then you get another 25% off .25 x 150 =37.50 so 150 - 37.50 = 112.50.
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
Answer:
Slope = 6
Step-by-step explanation:
Reading your description carefully, the equation of line has been given to be
When we compare this with the standard form of a straight line
We immediately see that the slope or gradient m = 6.
Alternatively, when we consider the coordinates of the points mentioned, we have
(1, 5) ; (0, -1) ; (-1, -7)
We can take any two points out of these three and calculate the slope using the formula
For example, let us consider the points (1, 5) and (-1, -7)
Here x₁ = 1; x₂ = -1 and y₁ = 5; y₂ = -7
Plugging the numbers in the above formula, we have
This agrees with what we calculated directly from the equation of the line!
Hence, slope of the line on the graph = 6
The slope of the line in simplified form is -1
Find the required diagram attached.
The formula for calculating the slope of a line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the coordinate points (0, -2) and (-2, 0)
Substitute the given coordinates into the formula:
[tex]m=\frac{0-(-2)}{-2-0}\\m=\frac{0+2}{-2}\\m=\frac{-2}{2}\\m=-1[/tex]
Hence the slope of the line in simplified form is -1
Learn more here: https://brainly.com/question/17003809
PLEASE HELP
I like or go to the beach or I like to eat ice cream.
I like or go to the beach and I like to eat ice cream.
I enjoy rainy days and I like to eat ice cream.
I do not enjoy eating ice cream or I do not enjoy rainy days.
Therefore, I enjoy ice cream.
ANSWER OPTIONS
p v q
~q v r
r ^ q
p ^ q
(Three dots in the shape of a pyramid) q
Answer:
Step-by-step explanation:
These are what the symbols mean so you can better understand them
p: I like to go to the beach
q: I like to eat ice cream
r: I do not enjoy rainy days
^ = means OR so a that has or in it.
v = means AND so any sentance with and in it
~ = not so any phrase that condridicts what the origional P,Q, and/or R
∴ = Therefore so any phrase with therefore.
So; p ∧ q would be P... OR... Q acording to the key above would be
I ilke to go to the beach OR I like to eat icecream.
You can figure out the rest! Hope this helps you!
Answer:
~q v r
Step-by-step explanation because I mart
0.15x-0.6 pls I need it quick
Answer:
The inverse is f^-1 (x) = 6.6x + 4
Factored is 0.15 (x - 4)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
Find the value of a and b need help ASAP
Answer:
Step-by-step explanation:
<a = 85° ( Vertically Opposite Angles )
<b = 180 - 85 = 95° ( Adjacent Angles )
Hope this helps
Plz mark as brainliest!!!!!!!!
Answer:
<a=85
<b=95
Step-by-step explanation:
<a is going to be the same as the other angle is across from it. So <a equals 85 degrees. So now since we know that two parts are 85 degrees we add 85 + 85 and we get 170 degrees. Since the whole thing is 360 degrees we need to subtract the 170 degrees that we already have. So 360-170 is equal to 190 degrees. Now since <b is the same as the angle across from it is we just need to divide the remaining degrees in half. So we take the 190 degrees and divide that in half. When you divide that in half you get 95 degrees. So <b is 95 degrees.
Multiple questions! Need help within the hour!
9 increased by the quantity of b added to 10
Answer:
19b + 10
Step-by-step explanation:
Here, we want to increase 9 by the quantity of b added to 10.
We proceed as follows;
9 increased by quantity of b is 9 + b
This added to 10 would be 9 + b + 10 = 19b + 10
I need help ASAP
Which statement best describes points P and Q?
Answer:
their y coordinates are the same
Step-by-step explanation:
Answer:
Their y-coordinates are the same.
Step-by-step explanation:
Point P is at (-6, 4) and Point Q is at (1, 4).
Notice how their y-values, which is 4, are the same.
Find the constant. quickly please!
Answer:
Assuming you are asking for the slope which is 3 or in the equation format y=3x
Step-by-step explanation:
you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).
Expand: log 4(x/ y^5z)
Answer:
log4+logx-5zlogy
in whichvpair of figures can Figure A be taken to Figure B by a rotation?
Pair 1 is the correct answer
A coyote population has decreased by 168 over the past 3 years. The same number of coyotes were lost each year. Which division expression gives the change in the coyote population each year? A) 168 3 B) 168 −3 C) −168 3 D) −168 −3
Answer:
C, [tex]\frac{-168}{3}[/tex]
Step-by-step explanation:
The number of coyotes is decreasing, which makes it negative, but you can't have a negative year, so the answer must be [tex]\frac{-168}{3}[/tex]
Katie has a doll house that is a small model of a real Victorian house. The real house has a rectangular window that measures 65 centimeters long by 45 centimeters wide. The length of the window in Katie's house is 13 centimeters long. How wide is the window in Katie's house?
Answer:
9
Step-by-step explanation:
65/13=5
45/5=9 The answer is 9
What is 1/10 x 4/10=
Answer:
4/100
Step-by-step explanation:
Just multiply across.
1x4=4
10x10=100
1/10x4/10=4/100
Hope this helps! Have a great day!! C:
Answer:
The answer for this question is 1/25.
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
What is the slope of the line?
A. -2
B. -1/2
C. 7/16
D. 39/30
A = ( 15 , 15 )
B = ( 6 , 33 )
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
[tex]slope = \frac{33 - 15}{ 6 - 15} \\ [/tex]
[tex]slope = \frac{18}{ - 9} \\ [/tex]
[tex]slope = - 2[/tex]
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
A. -2
Step-by-step explanation:
took the test :))
HELP!
i picked the wrong answer and my reach won’t let me out the class until i get it right
Answer:
a
Step-by-step explanation:
Can I please get help
Answer:the value of AC is 15
FIND VALUE OF X AND OF ANGLE ABC AND ACD
PLS HELP
GEOMETRY
Answer:
see explanation
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ACD is an exterior angle of the triangle, thus
43 + 5x - 48 = 3x + 57 , that is
5x - 5 = 3x + 57 ( subtract 3x from both sides )
2x - 5 = 57 ( add 5 to both sides )
2x = 62 ( divide both sides by 2 )
x = 31
Thus
∠ ABC = 5x - 48 = 5(31) - 48 = 155 - 48 = 107°
∠ ACD = 3x + 57 = 3(31) + 57 = 93 + 57 = 150°
What is the y-intercept of the function f(x)=4 – 5x?
ОООО
О Т + 0
Answer:
The y-intercept of the function is 4
Step-by-step explanation:
The y-intercept is the point at which the graph crosses the y-axis.
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container? 1 serving 2 servings 4 servings 5 servings
Answer:
4 servings
Step-by-step explanation:
Yogurt in the container = 1 5/8 pounds
A serving = 3/8 pounds
how many servings of yogurt are in the container?
Servings in the yogurt container = total yogurt in the container / yogurt per servings
= 1 5/8 ÷ 3/8
= 13/8 × 8/3
= 13/3
= 4.33
To the nearest whole serving
= 4 servings
Answer:
C
Step-by-step explanation:
The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to be half as wide as it was originally. This resulted in a garden with a 34-foot perimeter. What is the area of the new smaller garden?
Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden
[tex]2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29[/tex]
So,
length = x
width = y = [tex]29-x[/tex]
The length is reduced by 7 feet and the width becomes half.
New length = [tex]x-7[/tex]
New width = [tex]\frac{1}{2}(29-x)[/tex]
New perimeter = 34 foot
[tex]2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19[/tex]
So,
New length [tex]=x-7=19-7=12\,\,foot[/tex]
New width = [tex]\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot[/tex]
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
In order for s//t which pairs of angles must be congruent
Answer:
her you go
Step-by-step explanation:
The local bowling alley is offering a discount on their normal rate per game. Their normal price per game is 8$. If you bowl 3 games and rent a pair of bowling shoes for $2 and paid $20, how much was the discount?
Answer:
10 off
Step-by-step explanation:
3times 8= 24
3 times 2= 6
then add together-10 dollars
what is 6.7 x 10 to the power of 1 in standard form
Answer: 6.7 x 10^1 = 67
Step-by-step explanation:
move the decimal point once, to the right.