Answer:
[tex]t = 11.085[/tex]
Step-by-step explanation:
The expression is given as:
[tex]h=-16t^2+24t+1700[/tex]
Required
Determine how long it will hit the ground
When the pebble is on the ground, this implies that h = 0
So, we have that:
[tex]h=-16t^2+24t+1700[/tex] becomes
[tex]0=-16t^2+24t+1700[/tex]
Reorder
[tex]-16t^2+24t+1700 = 0[/tex]
Multiply through by -1
[tex]16t^2-24t-1700 = 0[/tex]
Solve using quadratic formula [tex]ax^2 + bx + c = 0[/tex]:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex] [tex]b = -24[/tex] [tex]c = -1700[/tex]
So, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t = \frac{-(-24) \± \sqrt{(-24)^2 - 4*16*(-1700)}}{2*16}[/tex]
[tex]t = \frac{24 \± \sqrt{576 + 108800}}{32}[/tex]
[tex]t = \frac{24 \± \sqrt{109376}}{32}[/tex]
[tex]t = \frac{24 \± 330.72}{32}[/tex]
[tex]t = \frac{24 + 330.72}{32}[/tex] or [tex]t = \frac{24 - 330.72}{32}[/tex]
[tex]t = \frac{354.72}{32}[/tex] or [tex]t = \frac{-306.72}{32}[/tex]
[tex]t = 11.085[/tex] or [tex]t = -9.585[/tex]
But time can't be negative.
So: [tex]t = 11.085[/tex]
Hence, it will take 11.085 seconds to hit the ground
Solve: 3x – 8 = 6(1 – 2x) + 16
Answer:
x=2
Step-by-step explanation:
3x-8=6-12x+16
3x+12x=22+8
15x=30
x=2
Answer:
x=2
Step-by-step explanation:
It's right bc I took the test and got it 100%
Solve the following system of equations.
2x+y = 3
x=2y – 1
x=
y=
Answer:
y=1 x=1
Step-by-step explanation:
2x + y = 3
x = 2y - 1
.
It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
Answer:
Y =1
X =1
Good luck!!
Rita charges $60 for 5 tutoring session. What is the cost per session?
Answer:
$12=$60÷5. 12dollars is the answer
simplify each of the following ratios.
e) 2/3 : 3/2 : 5/8
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8.
Remember, a ration and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
May I have brainliest please? :)
Someone help me please.
Find the measure of 0.(to the nearest tenth)
Answer:
I don't believe any are correct, from what I know its 36.9.
Step-by-step explanation:
sorry I know this isn't help full good luck!
Calculate the TOTAL mechanical energy of a pendulum (mass 4 kg) as it swings from its highest point to its lowest point. Use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. Total energy is the sum of gravitational potential energy and kinetic energy. In this problem, round gravity to: g = 10 m/s2.
**** BONUS POINTS ADDED FOR ANSWER****
Answer: its should be 2.0 and 4.5 on it ✨
Step-by-step explanation: trusttt me
The graph models the path of a soccer ball, showing the vertical distance, in yards, as a function of the horizontal distance, in yards.
2 is less than or equal to x is less than or equal to 4
The State Furniture Company makes tables. The number of tables made on a given day is shown by the expression 20h , where h is the number of hours the company is open that day. What is a reasonable set of values for h?
Answer:
z
Step-by-step explanation:
sdggsgsgdd
Answer:
im sorry
Step-by-step explanation:
i ned help on the same question
23) Solve for :
-3x + 14 > -13.
Answer:
x < 9
Step-by-step explanation:
-3x + 14 > -13
-3x > -13 - 14
-3x > -27
-x > -27 ÷ 3
-x > -9
x < 9
Answer:
explaination. a ah. is
Caleb bought 3 bagels and 2 muffins for $7.00.
Jonathan bought 2 bagels and 5 muffins for
$12.00. Find the cost of each bagel and each
muffin.
Answer:
Bagels= 1$ and Muffins= 2$
Step-by-step explanation:
if Caleb bought 3 bagels for 1$ each that is 3$ and 2 muffins for 2$ each is 4$ and 4+3=7$
if Jonathan bought 2 bagels for 1$ each that is 2$ and 5 muffins for 2$ each is 10$ and 10+2=12$
Find the reciprocal of 4/11
Answer:11/4
Step-by-step explanation: u have to just put it backwards
The diameter of a circle is 20 centimeters. What is the radius?
Answer:
10
Step-by-step explanation:
radius is the middle point of a circle, therefore divide it in half.
Find the difference -1/8-(-6 7/8)
Answer:
The difference is 6 3/4
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
if f(x)= 1/x+2, what is f(3+h)?
A. 1/ (x+2)(3+h)
B. (3+h)/(x+2)
C. 1/(3+h)
D. 1/ h+5
Answer:
D. 1/h+5
Step-by-step explanation:
f(x)=1/3+h+2
F(x)=1/h+5
They who answer first, brainliest is thy prize
Answer:
Quotient: 3x+3
remainder: -2x+5
Step-by-step explanation:
Use polynomial long division
The area of a circle is equal to
Answer:
A=[tex]\pi r^{2}[/tex]
Find the value of the expression 0.5^10/0.5^7
Answer:
The solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]Step-by-step explanation:
Given the expression
[tex]0.5^{10}\div 0.5^7[/tex]
Solving
[tex]\frac{0.5^{10}}{0.5^7}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
so
[tex]\frac{0.5^{10}}{0.5^7}=0.5^{10-7}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:10-7=3[/tex]
[tex]=0.5^3[/tex]
[tex]=0.125[/tex] ∵ [tex]0.5^3=0.125[/tex]
Therefore, the solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]
6/7 ÷ 1/6
this is for flash cuz hes smart
Answer:
5.1
Step-by-step explanation:
Major League Baseball fans eat about 21 million hot dogs every season. There are a total of 2,430 games each season. About how many hot dogs are eaten at each game?
Answer:
About 8642
Step-by-step explanation:
21 mil/2430= 8641.97530864
3 + 2x -y =0
-3 -7y = 10x
Answer:
(-1, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
3 + 2x - y = 0
-3 - 7y = 10x
Step 2: Rewrite systems
3 + 2x - y = 0
Add y to both sides: 3 + 2x = yStep 3: Redefine systems
y = 2x + 3
-3 - 7y = 10x
Step 4: Solve for x
Substitution
Substitute in y: -3 - 7(2x + 3) = 10xDistribute -7: -3 - 14x - 21 = 10xCombine like terms: -14x - 24 = 10xAdd 14x on both sides: -24 = 24xDivide 24 on both sides: -1 = xRewrite: x = -1Step 5: Solve for y
Define original equation: -3 - 7y = 10xSubstitute in x: -3 - 7y = 10(-1)Multiply: -3 - 7y = -10Add 3 to both sides: -7y = -7Divide -7 on both sides: y = 1Step 6: Graph
Check the solution set.
Help
The diameter of the circle is 8in
Answer:
25.13 or 8pi
Step-by-step explanation:
Find the value of y when x = -5
Answer:
there isn't even a y here
Step-by-step explanation:
Did you not write the while question?
Please answer 1 and 2! Thank you!
Answer:
there is nothing here so??
Answer:
where??? uhhhhhhhh lol
Express it in slope form
Answer:
y=1/3x-4
Wish i could explain but i gtg
Step-by-step explanation:
Help me solve for the right one ?
I need help
Answer:
it should be B correct me if I'm rong
Which value is a solution of the inequalityx∕5 + 2 ≤ 6?
A)
x = 49
B)
x = 15
C)
x = 37
D)
x = 21
Answer:
B
Step-by-step explanation
the answer comes to [tex]x\leq 20[/tex] and 15 is the only answer below 20
Answer:
B. x = 15
Step-by-step explanation:
Firstly we simplify the inequality, so we have x on the left side, and every number on the right side[tex]\frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2)[/tex] so we take away 2 on both sides[tex]\frac{x}{5}\leq 4[/tex] now this is the same as [tex]\frac{1}{5}*x\leq 4[/tex] Now we multiply by 5 on both sides [tex]5*\frac{1}{5}*x\leq 5*4[/tex] which is [tex]\frac{5}{5}*x \leq 20[/tex] which is simply [tex]x \leq 20[/tex] since 5 divide by 5 is 1 and 1 times x is xSo the inequality [tex]x \leq 20[/tex] means "every number for x that is less than or equal to 20"Now from the list, the only number that fits is 15. So that's our answerits a funny shape ;) but if you answer correctly ill give brainliest
Answer:
Rectangle
Step-by-step explanation:
2 cadenas de operaciones distintas cuyo resultado sea 325 utilizando las 4 operaciones básicas
Answer:
Dos cadenas de operaciones matemáticas distintas, cuyo resultado sea 325 utilizando las 4 operaciones básicas (suma, resta, multiplicación y división) pueden ser las siguientes:
((2 + 8) / 2) x 65 = 325
10 / 2 x 65 = 325
5 x 65 = 325
325 = 325
((300 / 10) x 15) - 130 + 5 = 325
(30 x 15) - 130 + 5 = 325
450 - 130 + 5 = 325
325 = 325
The 2 different chains of operations resulting in 325 using the 4 basic operations are;
[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]
and;
[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]
According to the question, we are to find 2 different chains of operations resulting in 325 using the 4 basic operations.
The four basic operations are addition(+), subtraction(-), division(÷) and multiplication (×).
One of the chains of operation will be:
[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]
Another chain of reaction will be:
[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]
Learn more here: https://brainly.com/question/22224175
Solve for X. Send help please!!
Answer:
x=118
Step-by-step explanation:
180-62=118
hope it helps !
Y=-x-6 with slope graph Please help me answer this
Answer: the slope of the graph is -1
Step-by-step explanation: because x has a coefficient of negative 1 but if you wanted to graph this line, you have to be careful since you go down 1 unit and right 1unit. The line is descending since it has a negative slope so technically the slope is -1/1 but we can just say it’s -1