Due to gravity, an object falls 16t^2 feet in t seconds. You drop a backpack from a window that is 20 feet above the ground. Will the backpack hit the ground in 1 second?
Answer:
NO
Step-by-step explanation:
Let h(t) represent the distance the pack is located above the ground at time t. Then h(t) = 20 ft - 16t^2 ft. Notice how h = 20 ft (the initial height) and that it decreases as t increases.
How long does it take for the pack tohit the ground? Set h(t) = 0 and solve for t:
0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1. So the question "Will the backpack hit the ground in 1 second" is answered by NO.
please help me????????
Answer:
2. 5x+8
3.5a+2b+2-b
4.15+10y
5.8+9x+5y
6. 9+w(to the fourth power)
7. i cant figure out how to do the last
Find the 9th term of the geometric sequence 9, 27, 81,
Answer:
9, 27, 81, 6561, 43046721, 1853020188851841, 3.4336838202925124e+30, 1547.141555, 2393646.991208
Step-by-step explanation:
Answer = 2393646.991208
Hope it helps!
What does equal to? 18 cm = __cm
Answer:
[tex]18 \times 1000 \: metres[/tex]
[tex]18000 \: metres[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: don't \: to \: \\ like \: and \: mark \: me[/tex]
A bagel shop takes a survey to find the approximate percentage of its customers who prefer the new shop hours.
What is the population of this survey?
I need hellpppp!!!!!
Answer:
1. C
2.G' is (8,-2) and H' is (14,8)
Step-by-step explanation:
Sorry if im wrong!
For each 70 mm of coloured fabric Alex uses to make his curtains, he also uses 20 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Use a quadratic function to model the area of the triangle. Graph the function. (Refer to the attached photo) no links pls
9 Calculator What is the median of the data set? 3, 10, 1, 6, 10, 3, 11, 14
Answer:
1, 3, 3, 6, 10, 10, 11, 14
(6,10) 6+10= 16
16/2= 8
median is = 8
Step-by-step explanation:
Hi answer as fast as you can
Answer:
864 cm
Step-by-step explanation:
After combining like terms we know that 3M +9+ 6M -1 is equivalent to
Answer:
9M + 8!
Step-by-step explanation:
Brainliest Please!
Plz help!! Find the area where f the composite figure
Answer:
The area of this composite figure is 122.75 m².
Step-by-step explanation:
What I can go on ahead & do is split this figure into a 5 * 16 rectangle and a 9 by 9.5 triangle.
(5 * 16) + 1/2(9 * 9.5) {Multiply 5 by 16 first; go from left to right}
80 + 1/2(9 * 9.5) {Now multiply 9 by 9.5}
80 + 1/2(85.5) {Then multiply 85.5 by 1/2, which is the same thing as dividing by 2}
80 + 42.75 {Lastly, add the two values together}
122.75 m²
The area of this composite figure is 122.75 m².
please help me outtttttttttttttt 15 points
Answer:
6 there are 6 motorcycles
Step-by-step explanation:
2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI
FIRST PERSON TO ANSWER CORRECTLY GETS 100 POINTS +BRAINLEST +5 STARS +THANKS ON PROFILE!!!!
Here are two right triangles. Explain how you know the triangles are similar.
In both triangles Be ABC and RQS
[tex]\because\sf \begin{cases}\sf <B=<Q=90°\\ \sf <\alpha\sim <alpha\end{cases}[/tex]
Hence
[tex]\\ \qquad\quad\sf\longmapsto \Delta ABC\cong \Delta PQR(AA)[/tex]
HELPPP MEEEE PLEASE!
Answer:
What is that
Step-by-step explanation:
I am scared of math
A five-digit number starts with a number between 4-9 in the first position, with no restrictions on the remaining 4 digits. a) Find the probability that a randomly-chosen phone number contains all different digits. b) Find the probability that a randomly-chosen phone number contains at least one repeated digit. a) Write an expression that models the probability. Select the correct choice below and fill in the answer box(es) within your choice.
Answer:
(a) [tex]Pr = 0.3024[/tex]
(b) [tex]Pr = 0.6976[/tex]
(c) [tex]Pr = \frac{^9P_{n-1}}{10^{n-1}}[/tex]
Step-by-step explanation:
Given
[tex]Start = \{5,6,7,8\}[/tex] i.e. between 4 and 9
[tex]n(Start) =4[/tex]
[tex]Digits = 5[/tex]
Solving (a): Probability that each of the 5 digit are different
Since there is no restriction;
The total possible selection is as follows:
[tex]First\ digit = 4[/tex] (i.e. any of the 4 start digits)
[tex]Second\ digit = 10\\[/tex] (i.e. any of the 10 digits 0 - 9)
[tex]Third\ digit = 10[/tex] (i.e. any of the 10 digits 0 - 9)
[tex]Fourth\ digit = 10[/tex] (i.e. any of the 10 digits 0 - 9)
[tex]Fifth\ digit = 10[/tex] (i.e. any of the 10 digits 0 - 9)
So, the total is:
[tex]Total = 4 * 10 * 10 * 10 * 10[/tex]
[tex]Total = 40000[/tex]
For selection that all digits are different, the selection is:
[tex]First\ digit = 4[/tex] (i.e. any of the 4 start digits)
[tex]Second\ digit = 9[/tex] (i.e. any of the remaining 9)
[tex]Third\ digit = 8[/tex] (i.e. any of the remaining 8)
[tex]Fourth\ digit = 7[/tex] (i.e. any of the remaining 7)
[tex]Fifth\ digit = 6[/tex] (i.e. any of the remaining 6)
So:
[tex]Selection =4 * 9 * 8 * 7 * 6[/tex]
[tex]Selection =12096[/tex]
So, the probability is:
[tex]Pr = \frac{Selection}{Total}[/tex]
[tex]Pr = \frac{12096}{40000}[/tex]
[tex]Pr = 0.3024[/tex]
Solving (b): At least 1 repeated digit
The probability calculated in (a) is the all digits are different i.e. P(None)
So, using laws of complement
We have:
[tex]P(At\ least\ 1) = 1 - P(None)[/tex]
So, we have:
[tex]Pr= 1 - 0.3024[/tex]
[tex]Pr = 0.6976[/tex]
Solving (c): An expression to model the probability.
Using (a) as a point of reference, we have;
[tex]Pr = \frac{Selection}{Total}[/tex]
Where
[tex]Selection =4 * 9 * 8 * 7 * 6[/tex] ---- for selection of 5 i.e. n = 5
[tex]Total = 4 * 10 * 10 * 10 * 10[/tex]
[tex]Selection =4 * 9 * 8 * 7 * 6[/tex]
This can be rewritten as:
[tex]Selection = 4 * ^9P_4[/tex]
4 can be expressed as: 5 - 1
So, we have:
[tex]Selection = (5-1) *^9P_{5-1}[/tex]
Substitute n for 5
[tex]Selection = (n-1) *^9P_{n-1}[/tex]
[tex]Selection = (n-1)^9P_{n-1}[/tex]
[tex]Total = 4 * 10 * 10 * 10 * 10[/tex]
This can be rewritten as:
[tex]Total = 4 * 10^4[/tex]
[tex]Total = (5-1) * 10^{5-1}[/tex]
[tex]Total = (n-1) * 10^{n-1}[/tex]
[tex]Total = (n-1) 10^{n-1}[/tex]
So, the expression is:
[tex]Pr = \frac{(n-1)^9P_{n-1}}{(n-1)10^{n-1}}[/tex]
[tex]Pr = \frac{^9P_{n-1}}{10^{n-1}}[/tex]
Where n represents the digit number
Why do we need to lean stuff that we dont need in the real world???
Answer:
Teachers are idiots that's why :)
Answer:
The Answer to that is pretty simple..
Step-by-step explanation:
We learn stuff that we typically don't need in the real world you would think but when it comes to getting a job thats were that information comes in. Like Science about fossils - You might work at a museum?
But some of this stuff is not really needed so I get your point.
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Enter your answer in the box.
cups
Answer:
3 cups of Chicken Broth remains
Step-by-step explanation:
$20,000 $18.400 $16.928 $15.573.76
If the original price of the car was $20,000, what is the depreciation rate?
What will the car be worth after 6 years?
Answer:
Depreciation rate is 8%
Car is worth $12127.10
Step-by-step explanation:
Ok here go a few of them
Answer:
1 = 58°
2 = 32°
3 = 32°
Step-by-step explanation:
find the correct classisication irratinal number rational number whole number intergers
Step-by-step explanation:
Real numbers include:
Rational numbers include
Fractions, Integers
Integers include
Negative Integers, Whole numbers
Whole numbers include
Zero, Natural number
Irrational numbers
7 over 9 raised to the 2nd power value
Answer:
7/9²=49/81
Step-by-step explanation:
soskssjshsgsgsgsgsgs
Evaluate- 4 + 8 ÷ 2 x (6 - 3)
What is the solution to the following equation?
5(2x –6) + 20 = 10
Answer:
Step-by-step explanation:
Simplifying
5(2x + -6) + 20 = 10
Reorder the terms:
5(-6 + 2x) + 20 = 10
(-6 * 5 + 2x * 5) + 20 = 10
(-30 + 10x) + 20 = 10
Reorder the terms:
-30 + 20 + 10x = 10
Combine like terms: -30 + 20 = -10
-10 + 10x = 10
Solving
-10 + 10x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 10x = 10 + 10
10x = 10 + 10
Combine like terms: 10 + 10 = 20
10x = 20
Divide each side by '10'.
x = 2
Simplifying
x = 2
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2x−6)+20=10
Step 1: Simplify both sides of the equation.
5(2x−6)+20=10
(5)(2x)+(5)(−6)+20=10(Distribute)
10x+−30+20=10
(10x)+(−30+20)=10(Combine Like Terms)
10x+−10=10
10x−10=10
Step 2: Add 10 to both sides.
10x−10+10=10+10
10x=20
Step 3: Divide both sides by 10.
10x
10
=
20
10
x=2
Answer:
x=2
Please help with this algebra question
Answer:
y < 5x + 5
Step-by-step explanation:
find slope and y-intercept first:
for slope I used the formula with these two points: (0,5) and (-1,0) and the y-intercept can be seen at (0,5)
so equation is y = 5x + 5
but we need to select an inequality symbol, because line is dashed it must be either > or <
I used the point (0, 0) to determine the sign:
is this true or false? 0 > 5(0) + 5 False
so the sign must be <
Check: is this true or false? 0 < 5(0) + 5 True
A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $6 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $30 per order as well as $6 per shoe pair. The retail store sells 2500 shoe pairs each year. Find a function that models the total inventory costs as a function of x x the number of shoe pairs in each order from the manufacturer.
Answer:
$ ( 3 x + 75000 / x )
Step-by-step explanation:
Function that models the total inventory cost as a function of x
holding cost = $6
ordering cost ( fixed cost ) = $30
cost of a pair = $6
Total demand = 2500
∴The total inventory cost ( TIC ) is represented as
holding cost + Ordering cost
= 1 / 2 ( x ) ($6 ) + 2500 / x ( $30 )
= $ ( 3 x + 75000 / x )
while total cost = $ ( 3x + 75000 /x + ( 2500 * 6 ) )
is 1/5 the same as 5?
Answer:
No, it is not.
Step-by-step explanation:
1/5 is equal to 0.2
5/1 is equal to 5 because there are 5 ones.
What is | 6 | - | 1 |
What |6|
Answer:
|6|-|1|=5
|6|=6
Step-by-step explanation:
Help me or I’ll mark Brainly I just need a couple of answers finished
Answer:
4. 72 m
5. 42 m
6. 66 yd
8. 18 yd
9. 200 cm
Step-by-step explanation:
3) 1 × 3 × 8 + [5 × 8 × (4-3)] = 24 + 40 = 64 yd³
4) 9 × 1 × 8 = 72 m³
5) 3 × 7 × 2 = 42 m³
6) 3 × 3 × (6 - 2) + 2 × 5 × 3 = 36 + 30 = 66 yd³
7) (7 - 5) × 7 × 3 + 8 × 7 × 5 = 42 + 280 = 322 mm³
8) 3 × 3 × 2 = 18 yd³
9) 8 × 5 × 5 = 200 cm³