It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.
Let
[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]
we want to calculate the value [tex]t_h+t_y[/tex]
First, we have to calculate [tex]t_h[/tex] using the formula
[tex]v=u+at[/tex]
using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)
[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]
To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula
[tex]h=ut+\frac{1}{2}at^2[/tex]
and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)
[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]
since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship
[tex]h=y+3[/tex]
so that
[tex]y=h-3\\=3.2-3\\=0.2m[/tex]
we can now calculate [tex]t_y[/tex];
[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]
taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)
[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]
So it would take
[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]
for Carol to catch the sweet after Dave threw it from the first floor.
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7
Use synthetic division to divide and write the quotient.
(9x² + 22 x - 15)+(x+3)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x
The solution to the given expression is -15/4
Equations are expressions separated by an equal sign.
Given the expression 17 = -13 -8x
Add 13 to both sides
17 + 13 = -13 - 8x + 13
30 = -8x
Swap sides
-8x = 30
Divide both sides by -8
-8x/-8 = -30/8
x = -30/8
x = -15/4
Hence the solution to the given expression is -15/4
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1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________
Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2
________________________________
Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3
The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:
1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5
3. Alex would represent it as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
A number line is a system that can be used to show the positions of all directed numbers.
Thus, the solutions to the given questions are stated below:
1. Let the scuba diver's previous deepest dive be represented by d . Such that,
2.5 d = - 80 .......... 1
So that;
d + p = -80 ............ 2
From equation 1,
2.5 d = -80
d = -32 feet
From equation 2,
-32 + P = - 80
p = -80 + 32
= -48 feet
p = -48 feet
⇒ -32 + (-48) = -80
Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.
Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles
= 8.6 miles
Thus, since the distance to the store is more than 3.5 miles east of her home, thus the appropriate inequality that represents the situation is:
-5.1 + d > 3.5
The correct option is: A or C
3. Let the number be represented by n, so that:
[tex]\frac{1}{2}[/tex]n > [tex]1\frac{1}{3}[/tex]
Alex would represent the statement as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
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(i) Find i in terms of P and A.
(ii) If 2500 is invested 3 years ago has a present value of 2650, find the rate of interest, i (correct to one decimal place)
Answer:
See belowStep-by-step explanation:
Given formula:
[tex]A=P(1+i/100)^3[/tex](i)
Solve for i:
[tex]A/P=(1+i/100)^3[/tex][tex]\sqrt[3]{A/P}=1+i/100[/tex][tex]\sqrt[3]{A/P} -1=i/100[/tex][tex]i=100(\sqrt[3]{A/P} -1)[/tex](ii)
P = 2500, A = 2650, find i:
[tex]i =100(\sqrt[3]{2650/2500} -1)[/tex]i ≈ 2.0%(x, 7) and (-7, 4); slope: 1
Answer: x= -4
Step-by-step explanation: slope = (y2-y1)/(x2-x1).
(4-7)/(-7-x)
-3/-7-x=1
Multiply both sides by -7-x
-3=-7-x
Add 7 to both sides
4=-x so x = -4
When divding numbers with the same base you________ the exponents
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When divding numbers with the same base you subtract the exponents ~
Answer:
subtracts
Step-by-step explanation:
hope this helps
7075806785463087580370x98437532794395798243757934
Answer:
6.9652496e+47
Step-by-step explanation:
Answer:
use calculator to solve this equation
Find x get 15 points and brainliest
4/5x+9/10=5 1/5
Answer:
x=43/8
Step-by-step explanation:
Answer:
43/8
BUT IN A SIMPLIFIED MIXED NUMBER IT IS
5 3/8
What is the range of the graph
Answer:
You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]
Step-by-step explanation:
The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.
So we're going to try with some simply values for evaluate
[tex]\sqrt[3]{-8} = -2[/tex]
[tex]\sqrt[3]-1} = -1[/tex]
[tex]\sqrt[3]{0} = 0[/tex]
[tex]\sqrt[3]{1} = 1[/tex]
[tex]\sqrt[3]{8} = 2[/tex]
How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function is increasing it's outputs.
Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:
When you have a negative value in the [tex]x[/tex] like in this occasion ([tex]\sqrt[3]{-x}[/tex]) the function reflex it's values with respect to the y axis (image put the functions in a mirror a draw the given image in the same cartesian plane).And you have a -3 this is move each value of the function 3 units down.So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.
[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]
[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]
So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]
Jose has 8 2/3 cups of plaster of Paris powder. If Jose uses 5 3/5 cups of sculpture, how much plaster will he have left?
Answer:
3 1/15
Step-by-step explanation:
8 2/3 - 5 3/5
find the LCD(least Common denominator)
8 10/15 - 5 9/15 = 3 1/15
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answer:
Slope=16
Step-by-step explanation:
Pls hurry on a test
Answer:
B
Step-by-step explanation:
Meet at the middle of the two lines
Answer:
pretty sure it's c
Step-by-step explanation:
when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2
A worker pushes on a crate that experiences a
net force of 75 N. If the crate also experiences
an acceleration of 0.50 m/s^2, what is its
weight?
Answer:
Answer:
M = 75N
0.50 m/s²
M = 150kg
Explanation:
M = F
a6
3x + 3 = 2x + 12 i need help for this answer
Answer:
X=9
Step-by-step explanation:
3x+3=2x+12
3x-2x=12-3
x=9
(05.03)
An equation is shown below:
2/3 x + 8/3 = 2x
What is the solution to the equation? (4 points)
x=2
1:Subtract 2x from both sides.
2:Combine 2/3 x and -2x to get -4/3
3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.
4:Multiply both sides by -3/4,the reciprocal of -4/3
5:Multiply − 3/8 times − 4/ 3 by multiplying numerator times numerator and denominator times denominator.
6:Do the multiplications in the fraction −8(−3) over 3x4.
x=24/12
Divide 24 by 12 to get 2.
x=2
YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.
I need help on this question please
Answer:
ABC -- not similarΔJKL ~ ΔHIG, AA similaritynot similarStep-by-step explanation:
a) Side ratios in the smaller triangle are 3:4:6. In the larger triangle, they are 5:6:9. These are not equivalent ratios, so the triangles are not similar.
__
b) The missing angle in the left triangle is 90° -55° = 35°. This matches the acute angle shown in the right triangle, so the right triangles are similar by the AA similarity criterion. The given triangle JKL starts with the largest acute angle, then the right angle, so the similarity statement must be ...
ΔJKL ~ ΔHIG
__
c) All we know for sure is that the vertical angles are congruent. We need information about a pair of sides or of another angle before any similarity can be claimed. The triangles are not necessarily similar.
help me please (show work)
Answer: A, B, C, and D have the same volumes: 100 units^3
Step-by-step explanation:
The details are attached. Use the volume formula for the respective shapes. Bear in mind that B is he area of the base (I assume). It is the
[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).
How do you make people the BRAINLIEST when you ask a question?
... you answer it correctly and you can see if i figured it out
-wink
-wink
-wink
:( but seriously this is a huge problem that i cant figure out
Answer:
You can only mark someone's answer if one other person has answered as well.
Step-by-step explanation:
If two people answered your question, then you get a notification from brainly asking you to pick a brainliest answer.
Answer:
See below:
Step-by-step explanation:
When you mark something as Brainliest, you recognize the answer as something good and that it's helped you a lot and is the best answer.
It also also used to symbolize that they have the best answer and that you should listen to their response.
Once there are two responses, you will see a yellow crown button that you an click to award brainliest, you can also find the button when you select more options on a question.
Cheers!
Can someone please give me the answer
Answer:
6/10
Step-by-step explanation:
30/50=3/5
3/5=3/5
15/25=3/5
3/5*2/2=6/10
rewrite the expression as a single fraction 3/8 + 1/8
Answer:
Step-by-step explanation:
3/8+ 1/8 = 4/8
Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -
Answer:
Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is
Step-by-step explanation:
calculating the change between two points.
Please help! 20 Points! Will give brainliest if correct!
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used on a 1-topping pizza. The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).
A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).
This sample space shows all the types of 1-topping pizzas. Which outcomes in this sample space show the types of pizza the customer may order?
Select all correct outcomes
Using the given sample space, it is found that the types of pizza the customer may order is: {MG, MH, MO, LG, LH, LO}
The sample space is the set that contains all possible outcomes.
In this problem:
The pizza is large or medium, hence the first letter has to be M or L.The topping is any except pepperoni, hence, the second letter is G, H or O.Thus, the possible outcomes are: {MG, MH, MO, LG, LH, LO}
A similar problem is given at https://brainly.com/question/14798120
common factor of 24 plz
Hey there!
Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.
24 = 1 × 2 × 2 × 2 × 3
24 = 2³ × 3 × 1
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
Hope it helps ya!
please help question 20 due on monday
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Here are the answers
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
Simplify the ratio 18 8
Answer:
9:4
Step-by-step explanation:
Here is the math to illustrate better:
18/2 = 9 and 8/2 = 4
Thus, The 18:8 ratio simplified
What does this sentence mean? Or write the formula
Find all sets of 2 consecutive positive integers with a sum that is at least 8 and less than or equal to 24.
Answer:
An odd integer is denoted by 2n+1 where n is an integer.
First odd integer = 2n+1
Next odd integer = 2n+3
8 ≦ (2n+1)+(2n+3) < 24
8 ≦ 2n+1+2n+3 < 24
8 ≦ 4n+4 < 24
Divide through by 4
2 ≦ n+1 < 6
Subtract 1 for all three sides:
1 ≦ n < 5
n ∈ {1,2,3,4}
Answer: {2n+1, 2n+3} {1,3}, {3,5}, {5,7
Step-by-step explanation:
What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?
Answer:
(7*100) can be written as 7*10^2
4 * / 100 i don’t know
if it was 4 * 100 then it’s 4*10^2
if it was divided then it’s 4*10^-2
8* 1/1000 = 8/1000 = 8*10^-3
add together to get 1.100008 * 10^3 (if it was 4*100)
or 7.00048 * 10^2 ( if it was 4/100)