Answer:
[tex]1+2\sqrt{2}[/tex] seconds
Step-by-step explanation:
When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:
[tex]0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0[/tex]
Plugging this into the quadratic equation, you get:
[tex]t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}[/tex]
Since the time must be positive, it takes the ball [tex]1+2\sqrt{2}[/tex] seconds to hit the ground, or around 3.828. Hope this helps!
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
to add the two equations, you have to make sure that the y's are the same. you would do this by multiplying each equation by the other equation's y variable
Find the volume of a triangular prism that has a triangle base of14 and height of 17 with a prism height of 5
I am having real trouble with this equation
7 - 12
how can you go lower then zero?
Answer:
Subtract 12 from 7 = -5
The density of a marble is 2.7g/cm3. What is the mass of th marble slab
Answer:
if the marble slab is 1 cm³ in volume the mass is 2.7 g but u did not put a volume
Share 30 oranges between Alan and Andy in the ratio 6:4. Alan gets_
[tex]\frac{30}{6+4}[/tex]
[tex]\frac{30}{10}[/tex]
[tex]=3[/tex]
[tex]3*6:3*4[/tex]
[tex]18:12[/tex]
Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles.A person draws one marble from each bag.Find the probability that both marbles are white.
Answer:
There is a 9 out of 14 chance that the marble will be white or there is a 3 out of 5 chance along with a 6 out of 9 chance.
Step-by-step explanation:
Since there's a total of 14 marbles from both bags and there are a possible 9 white marbles, it would be a total of 9 out of 14, or it would be separate and be a 3 out of 5 chance with a 6 out of 9 chance.
You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What is the probability you reach in and pull out: a. one of each? b. 4 Honey Crisps c. 2 G. Smiths & 1 R. Delicious
Answer:
A.) 4991/157216
B.) 2401/1336336
C.) 16399/314432
Step-by-step explanation:
Given the following :
Granny Smith = 23
Honey crisp = 14
Red delicious = 31
Probability = (number of required outcome / number of possible outcomes)
Number of possible outcomes = 23 + 14 + 31 = 68
With replacement :
A.) one of each :
P(granny Smith) × P(Honey crisp) × P(Red delicious)
P(granny Smith) = 23/68
P(Honey crisp) = 14/68 = 7/34
P(red delicious) = 31/68
(23/68 × 7/34 × 31/68) = 4991/157216
B) 4 honey crisp:
P(4 Honey crisp) = P(honey crisp) × P(honey crisp) × P(honey crisp) × P(honey crisp)
7/34 × 7/34 × 7/34 × 7/34 = 2401/1336336
C.) 2 granny Smith and 1 red delicious
P(granny Smith) × P(granny Smith) × P(red delicious)
23/68 × 23/68 × 31/68 = 16399/314432
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 250 people entered the park, and the admission fees collected totaled $750.00. How many children and how many adults were admitted?
Answer:
100 children
150 adults
Step-by-step explanation:
c- children
a- adults
---------------
we get equations as per question:
1.5c+4a= 750 c+a= 250 ⇒ a= 250- c1.5c +4(250-c)= 750 ⇒ 1.5c- 4c+1000=750 ⇒ 2.5 c= 250 ⇒ c= 100a= 250-100 ⇒ a= 150Children 100, adults 150
x^2+{a/a+b + a+b/a}x+1=0 solve for x please solve and i will mark you as the brainliest..its urgent i need to confirm my answer...
Answer:
x^2 + {a/(a + b) + (a + b)/a}x + 1 = 0
Delta = {a/(a + b) + (a + b)/a}^2 - 4
= {a/(a + b)}^2 + {(a + b)/a}^2 + 2 - 4
= {a/(a + b)}^2 + {(a + b)/a}^2 - 2
= {a/(a + b) - (a + b)/a}^2
If a is not equal to zero and a is not equal to -b => delta is always larger than 0
=> Solution 1 = - [ {a/(a + b) + (a + b)/a} + |{a/(a + b) - (a + b)/a}| ]/2
=> Solution 2 = - [ {a/(a + b) + (a + b)/a} - |{a/(a + b) - (a + b)/a}| ]/2
Hope this helps!
:)
Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds, £.
Answer:
£1.6
Step-by-step explanation:
£20 ÷ £2.3= 8 remainder 1.6
change= £1.6
Answer:
1.60 euros
Step-by-step explanation:
2.30 times 8 = 18.40
20-18.40 = 1.60
Two objects that are the same shape but not the same size are ___
Answer:
The answer to your question: Similar
Step-by-step explanatioN
i picked this answer because they have one comparison- same shape
what is comparison- the same features in something between 2 objects or more
this also means similar
so it is similar
Answer:
Similar
Step-by-step explanation:
A. how does your equation from 1b relate to the pendulum equation?'
Calculate the angle to the nearest degree: csc (x) = 1.0353
Answer:
[tex]75^{\circ}[/tex]
Step-by-step explanation:
Given: [tex]\csc (x) = 1.0353[/tex]
To find: angle to the nearest degree
Solution:
A triangle is a polygon that has three sides, three angles ,and three vertices.
Trigonometry explains the relationship between the sides and angles of the triangle.
The angle can be expressed in two forms: degrees or radians.
[tex]\csc (x) = 1.0353\\x=74.995\approx 75^{\circ}[/tex]
Somebody please help me!! I will mark the brainlest
Answer:
96
Step-by-step explanation:
Triangles (front and back)
There are two right triangles -- front and back.
One triangle = 1/2*h*b
h = 3
b = 4
One triangle = 1/2 * 3 * 4
One triangle = 6
two triangles = 2*6 =12
Rectangle using the Net
Area = L * W
L = 3 + 4 + 5 = 12
W = 7
Area = 12 * 7 = 84
Total Area
Area = 12 + 84
Area = 96
use the two graphs to help complete the statements below.
Answer:
graph a: $10 dollars an hour
graph b: 10
Step-by-step explanation:
slope is calculated by rise over run ([tex]\frac{rise}{run}[/tex]) which means how many the line goes up divided by how many the line goes over (to the right)
negative slope is how many the line goes down divided by how many the line goes over (to the right)
Una fabrica produce 132 litros de yogurt diarios .Con 49 litros se llenan botellas de 0,25litros xada una y con el resto que queda en el deposito se llenan botellas de 0,5 litros ¿cuantas botellas de yogurt se llenan ?
Answer:
[tex]z = 362\,botellas[/tex]
Step-by-step explanation:
(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)
La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:
[tex]x = \frac{49\,L}{0.25\,\frac{L}{botella} }[/tex]
[tex]x = 196\,botellas[/tex]
La cantidad remanente de yogurt es:
[tex]V_{r} = 132\,litros - 49\,litros[/tex]
[tex]V_{r} = 83\,litros[/tex]
Ahora, la cantidad de botellas de 0,5 litros que se llenan con el volumen remanente es:
[tex]y = \frac{83\,litros}{0.5\,\frac{litros}{botella} }[/tex]
[tex]y = 166\,botellas[/tex]
Finalmente, el total de botellas a llenar es:
[tex]z = 196\,botellas + 166\,botellas[/tex]
[tex]z = 362\,botellas[/tex]
A prism is a three dimentional shape with the same ________ all the way through
Can anybody fill in the blank?
A prism is a three-dimensional shape with the same cross-section all the way through.
What is prism?A prism is a solid shape that is bound on all its sides by plane faces.
A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.
Hence, a prism is a three-dimensional shape with the same cross-section all the way through.
Learn more about prisms, click;
https://brainly.com/question/29722724
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On a coordinate plane, a line goes through points (negative 3, negative 3) and (0, 3). What is the slope of the line on the graph? 1 1/2 2 3
Answer:
2
Step-by-step explanation:
We can find the slope between two points by using
m= (y2-y1)/(x2-x1)
= (3 - -3)/(0 - -3)
= (3+3)/(0+3)
= 6/3
=2
Answer:
The slope of the line is 2
Step-by-step explanation:
using rise/run will help you figure this out :)
what type of solution does this equation have?
Answer:
Two real solutions
Step-by-step explanation:
We have the equation [tex]u^2=80[/tex]
To get a solution, we must solve for u.
When we solve for u, we need to square root each side, but when we do this, we must add a ± to the side that opposite to the u in order to compensate. This is because you could get 80 in two different ways:
[tex](\sqrt{80} )(\sqrt{80})=80 \\\\(-\sqrt{80} )(-\sqrt{80})=80[/tex]
This would mean that when we solve for u, we would get [tex]u=[/tex] ± [tex]\sqrt{80}[/tex]
Which is the same thing as [tex]u=\sqrt{80}[/tex] and [tex]u=-\sqrt{80}[/tex]
Which are two real solutions.
Answer:
2 real solutions
Step-by-step explanation:
u^2=80 is worked out as u as a variable times 2/u 2 times and when u do that you have to find the value of u and the result should be equal to 80. plz rate as the brainliest
how do I find the angles of a triangle when given all the lengths and no angle?
2x - 2y + z= -7
-x + 3y + 2z = 0
x - 4y - 3z= 1
Answer:
Step-by-step explanation:
I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule. Do that by finding the determinant of the matrix, |A|. The matrix A looks like this:
2 -2 1
-1 3 2
1 -4 -3
and we find the determinant of a 3x3 by expanding it. Do that by picking up the first 2 columns and throw them on at the end, like this:
2 -2 1 2 -2
-1 3 2 -1 3
1 -4 -3 1 -4
and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:
[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to
-18 - (-19) = 1
So the determinant of the matrix A is |A| = 1.
Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:
2 -7 1 2 -7
-1 0 2 -1 0
1 1 -3 1 1
and find the determinant of y:
[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to
-15 - (-17) = 2
So the detminant of y is |Ay| = 2
We can solve for the variable now by dividing Ay by A:
2 / 1 = 2
So the solution for y = 2
The sum of three numbers is 54 . The third number is 2 times the second. The second number is 10 more than the first. What are the numbers?
first number:
second number:
third number:
Answer:
First number: 6
Second number: 16
Third number: 32
Step-by-step explanation:
x + y + z = 54
z = 2y
y = x + 10
Now you can substitute y = x + 10 into z = 2y
The equation becomes z = 2x + 20
Now plug it into the main equation.
x + x + 10 + 2x + 20 = 54
4x + 30 = 54
4x = 24
x = 6
y = 16
z = 32
Classify the following triangle. Check all that apply.
Answer:
The triangle is an acute scalene triangle
Step-by-step explanation:
None of the sides have the same length so the triangle is scalene
All of the angles are less than 90 degrees so all of the angles are acute
The triangle is an acute scalene triangle
How can you get 2 to the power of -3 from the fraction 1/8?
given that f(x)=2x+1, a) find f(2) b) find f -1(x) c) find f-1(7)
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 2x + 1
(a)
To evaluate f(2) substitute x = 2 into f(x), that is
f(2) = 2(2) + 1 = 4 + 1 = 5
(b)
let y = f(x) and rearrange making x the subject
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
change y back into terms of x and x = [tex]f^{-1}[/tex] (x) , thus
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x-1}{2}[/tex]
(c)
To evaluate the inverse function substitute x = 7, that is
[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Luisa had $29.90 in her piggy bank. She made $5.50 a week for 4 weeks by baby-sitting. Write a sequence to show how much money she had in her piggy bank after each week.
Answer:Week 1: $35.40
Week 2: $40.90
Week 3: $46.40
Week 4: $51.90
Step-by-step explanation:
29.90 + 5.50(x) = y
replace x with 1, 2, 3, or 4 for each week.
State the steps on how to solve 5x2 – 18 = 27 using Square root Property in solving Quadratic Equation.
Answer: x = 3
Step-by-step explanation:
From the question,
5x² – 18 = 27
Collect the like terms
5x² = 27 + 18
5x² = 45
We can th n divide both side by 5 which is the coefficient of x²
5x²/5 = 45/5
x² = 9
To get the value of x, we find the square root of 9
x² = 9
x =✓9
x = 3
The value of x is 3
find the area of the shape below
Answer:
The figure is a composite shape.
Theres 1 triangle and 1 rectangle
The formula to find the area of the triangle is 1/2 x base x height
1/2 x 7 x 3 = 10.5 units^2
The formula to find the area of the rectangle is base x height
7 x 3 = 21 units^2
Then add up all the areas to find the area of the entire shape.
10.5 units^2 + 21 units^2 = 31.5 units^2
plz mark brainliest if this helped :)
What is the slope of the line x=3
Answer: The slope is infinite
Step-by-step explanation:
An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis.
Olives garden is only 10 yd and the watermelon plants she wants to grown requir 2.5yd each how many watermelon plants can she grows
Answer:
4
Step-by-step explanation:
10÷2.5
Answer:
4 plants
Step-by-step explanation:
She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants.
