Answer:
-5
Step-by-step explanation:
The distance traveled by a snowball thrown straight down from the top of a bluff can be calculated with the equation d=ut+12gt2, where d is the distance traveled in meters, u is the initial velocity in meters per second, t is the time in seconds, and g is the acceleration due to gravity, which is 9.8ms2. If the snowball traveled 200 meters in 5 seconds, what was its initial velocity?
Answer:
15.5 m/s
Step-by-step explanation:
Using the equation, d = ut+1/2gt² where all the variables have meaning as given above, making u subject of the formula, we have
d = ut+1/2gt²
d - 1/2gt² = ut
d/t - 1/2gt²/t = u
u = d/t - 1/2gt
Since d = 200 m, t = 5 s and g = 9.8m/s², substituting the values of the variables into the equation, we have
u = d/t - 1/2gt
u = 200 m/5 s - 1/2 × 9.8m/s² × 5 s
u = 40 m/s - 49 m/s ÷ 2
u = 40 m/s - 24.5 m/s
u = 15.5 m/s
So, the initial speed of the snowball is 15.5 m/s
Can someone please help me?
Answer:
The angle between the two sides of the right triangle is aproximately 31.003º.
Step-by-step explanation:
From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:
[tex]\cos \alpha = \frac{6}{7}[/tex]
[tex]\alpha = \cos^{-1} \frac{6}{7}[/tex]
[tex]\alpha \approx 31.003^{\circ}[/tex]
The angle between the two sides of the right triangle is aproximately 31.003º.
if one zero of the quadratic polynomial x²+3x+k is 2, then the value of k is. [ ]
a) 10
b)-10
c)5
d)-5
Answer:
b) -10
Step-by-step explanation:
x^2 + 3x + k = (x - 2)(x - a)
(x - 2)(x - a) = x^2 - 2x - ax + 2a = x^2 + [-2 - a)x] + 2a
-2 - a = 3
2a = k
a = -5
k = 2(-5) = -10
Answer: b) -10
Answer:
GET READY FOR FIGHT !!!!!
Step-by-step explanation:
*Intense music in background*
Which inequality is true?
b TCR
d 5 > 1
C
Answer:
A-R<S
Step-by-step explanation:
Substitute the value for the variable with the number given and solve.
11b - 65 =
Substitute 6 for b
Answer:
1
Step-by-step explanation:
11(6) - 65
66 - 65
1
find x and what type of angle is this?
Answer:
a) x = 12
b) right triangle
Step-by-step explanation:
a) 2x + 1 + 5x + 5 + 90 = 180
7x + 96 = 180
180 - 96 = 84
84 / 7 = 12
x = 12
b) you can tell that it is a right triangle because of the square in the corner that indicates it is a right triangle
Georgia buys 4 books online. Each book is the same price. She has a discount code
for $5 off the entire purchase. She pays a total of $60.
Help me plzzzz, thanks If you do
hope it's helpful ❤❤❤❤
THANK YOU.
P and q are points on the line y=2-4X
Draw the line y= 2-4X for vales of x from -2 to 2
Answer:
`The answer is below
Step-by-step explanation:
P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)
Draw the line y= 2-4X for vales of x from -2 to 2
Solution:
The equation of a line is given by:
y = mx + b
Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).
The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.
x: -2 -1 0 1 2
y: 10 6 2 -2 -6
The value P(0, ) Q( ,0)
The y coordinate of point P is gotten by substituting x = 0:
y = 2 - 4(0) = 2
P = (0, 2)
The x coordinate of point Q is gotten by substituting y = 0:
0 = 2 - 4x
4x = 2
x = 0.5
Q = (0.5, 0)
You buy 3 bags of sand and 5 bags of pea gravel for $26. In a second purchase (at the same prices), you buy 4 bags of sand for $8. Let z represent the price in dollars) per bag of sand
and let y represent the price in dollars) per bag of pea gravel Use a graph to find the price per bag of sand and the price per bag of pea gravel
Line
Undo
Redo
Reset
Answer:
2z and 4y
Step-by-step explanation:
We first have to use the second purchase to figure this out, if 4 bags of sand is $8. We have to divide 8 by 4, which we get $2. We use this to find the bags of pea gravel. Since you bought 3 bags, 3 times 2 is 6. We subtract 6 from 26 leading to 20 dollars. We also buy 5 bags of pea gravel so we have two numbers, 20 and 5. We divide 20 and 5 and we get 4 dollars for 1 bag of pea gravel. If this is not what you meant I apologise.
PLEASE HELP!!! THIS IS MY LAST QUESTION!!!! PLEASE!
Answer:
2, -2, 0
hope it's right :)
There are 3 “bumps” on the graph ( the u and upside down u shaped parts)
This degrees are the number of bumps + 1
So this graph has 4 degrees.
The arrows at the ends are pointing up so the sign is positive
+, 4th
Describe at least two events where the probability is 0.
Answer:
world peace, and ending world hunger. Human kind is far too cruel to fix these areas.
Step-by-step explanation:
Being in space without oxygen has a 0% probability of survival.
Cooking noodles is boiling water has a 0% chance of the noodles not cooking.
These may be odd examples but they are accurate.
-Northstar
Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?
Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
In a survey of 800 people, 32% preferred cats and 27% preferred dogs. How many more people preferred cats than preferred dogs?
Calculate the amount of people on both sides.
32% preferred cats
32% of 800
0.32 × 800 = 256 people
27% preferred dogs
27% of 800
0.27 × 800 = 216 people
So 256 people preferred cats and 216 people preferred dogs.
256 - 216 = 40 people
40 more people preferred cats than preferred dogs
40 people preferred cats more than preferred dog.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Total number of people participated in survey = 800.
Percentage of people who preferred cats = 32%,
And percentage of people who preferred dogs = 27%.
The percentage of people who preferred cats more than preferred dogs
= 32 - 27
= 5 %
The number of people preferred cats more than preferred dogs
= 800 x 5/100
= 40.
There are 40 more people preferred cats than dog.
To learn more on Percentage:
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The graph of a quadratic function is shown on the grid. 2 HE . Which equation best represents the axis of symmetry?
Answer:
Step-by-step explanation:When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical. The graph of the parabola represented by the quadratic function y = a( x - p )2 + q has an axis of symmetry represented by the equation of the vertical line x = p.
Answer:
x=2
Step-by-step explanation:
symmetry= the hightest number x value. basically the halo of the quadratic.
how to find the domain of a function
Answer: For the numerator, we know we have to have a positive number in the expression for ln. Therefore, 0">x−2>0, which means 2">x>2. Combining these, we get the domain of the function is all positive values for x which are greater than 2. In interval notation, this is simply (2,∞).
Step-by-step explanation:
Which of the equations are true identities?
A. (9k – 8)(9k + 8) = 81k2 + 64
B.(3m +2n)(6m – 4n) = 18m²
18m2 – 8n?
Choose 1 answer:
Answer:
We have two expressions, let's see if they are true or not:
A: (9k - 8)*(9k + 8) = 81*k^2 + 64
To prove this, we only need to start in the left side and see if we can construct the right side:
(9k - 8)*(9k + 8) = (9k)*(9k) + (9*k)*8 - (9k)*8 + 8*(-8)
= (9k)^2 - 8^2
= 9^2*k^2 - 64 = 81*k^2 - 64
This is different than the thing in the original equation, then this one is not an identity.
B) (3m +2n)(6m – 4n) = 18m^2 – 8n
Same as before, we start at the left side and work it out.
(3m + 2n)*(6m - 4n) = (3m)*(6m) + (3m)*(-4n) + (2n)*(6m) + (2n)*(-4n)
= 18*m^2 -12*m*n + 12*m*n - 8*n^2
= 18*m^2 - 8*n^2
Notice that here we have an "n^2" while in the original equation we have only an "n".
This may be an error in the question and the exponent is missing, in that case, this equation would be an identity, but it is not as how is written in the question.
Then neither A nor B are correct.
Answer:
only b
Step-by-step explanation:
A cylinder has a radius of 3 in and a volume of approximately 136.78 in? What is the height of the cylinder?
Round to the nearest tenth.
Answer:
4.835(I don't know unit.(m/in/cm)
Step-by-step explanation:
volume=πr^2h
136.78=22÷7×3^2×h
h=136.78×7÷(22×9)=4.835
Can a triangle be formed using the side lengths of 8 ft, 6 ft, and 4ft? If so, classify the triangle.
Yes, a triangle can be formed using those side lengths. This is because when using Triangle Inequality Theorem, any two side lengths added together is greater than the third side. The triangle is also scalene since none of the sides have the same measure.
What is the measure of 1?
Answer:
1
Step-by-step explanation:
pls mark brainliest
answer:
attach a picture so that we can answer your question. we need to see 1.
Which of these is not a method to solve systems of
equations?
-Substitution method
-Graphing method
-Addition method
-Difference of squares method
Answer:
Fourth option
Step-by-step explanation:
The answer is the fourth option "difference of squares method." It's not the first option because the substitution method is when you pick one of the equation in a system of equations, solve it for a variable and then plug the variable into the other equation to help solve. It's not the second option because the graphing method is used to solve a system of equations by graphing the equations on the same coordinate plane, it's not the third option because the addition method is also known as the elimination method which is the third method to solving a system of equations. Therefore your answer is the fourth option.
Hope this helps.
A new car is purchased for $42,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $5,800?
Answer:
t=20
Step-by-step explanation:
delta math blessed.
Answer:
t=20
Step-by-step explanation:
I do not have one, I apologise.
Faith invested $4,100 in an account paying an interest rate of 2.6%
compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach
$5,290?
Answer:
1 year (10 months)
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I got it right
what is 4.0 x 10 by the 2nd power
In which quadrant does 694 lie?
Answer: C. quadrant l
Step-by-step explanation:
Angle 694° lies Quadrant IV which is correct option (D)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
For Quadrant I : the value of x and y both are positive ( +,+ )
For Quadrant II : the value of x is negative and y is positive ( -,+ )
For Quadrant III : the value of x is negative and y is negative ( -, - )
For Quadrant IV : the value of x is positive and y is negative ( +, - )
Locate the quadrant of the angle.
If the angle is greater than 360°,
Subtract 360° until the angle is less than 360°.
⇒ 694 - 360
⇒ 334°
Hence, angle 694° lies Quadrant IV
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Somebody help plz I need some help
Answer:
[C] 44°
Explanation:
That Is A Right Angle, So x° + 46° Needs To Equal 90°Equation: x + 46 = 90
Subtract 46 From Both Sides
x + 46 - 46 = 90 - 46
x = 44
B = 44°After riding the stationary bike for just 8 minutes, Betty had burned 50
calories. How long must she ride if she wants to burn 325 calories?
Answer:
She has to ride for 52 minutes!
Step-by-step explanation:
50/8=6.25
325/6.25=52
6.25*52=325
Answer:
52 minutes
Step-by-step explanation:
50/8=6.25
325/6.25=52
6.25*52=325
those are the answer choices! ^
question: what is the order of operations needed to evaluate the expression 4(5)- 8 (divided) 2?
Answer:
I think its c bc (PEMDAS) shoes multiplication comes first
Answer:
I also think it's. C
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
please help me with this
The path of a diver diving off a 10-foot platform can be represented by the function h(x) = - 0.5(x^2 - 4x - 21) where h is the diver's height above water and x is the horizontal distance from the platform (in feet).
What does the positive zero represent?
Answer:
x = -3 and 7
Step-by-step explanation:
Given the path of a diver expressed as;
h(x) = - 0.5(x^2 - 4x - 21)
The positive zero occur at when h(x) = 0
Substitue
0 = - 0.5(x^2 - 4x - 21)
-0.5x^2 + 2x + 10.5 = 0
Multiply through by -10
5x^2 - 20x - 105 = 0
x^2 - 4x - 21 = 0
x^2 - 7x+3x - 21 = 0
x(x-7)+3(x-7) = 0
(x+3)(x-7) = 0
x = -3 and 7
Hence the positive zero displacement occurs at x = -3 and 7