Answer:
[tex]51.4\ \text{m/s}[/tex]
[tex]52.84\ \text{m/s}[/tex]
[tex]52.984\ \text{m/s}[/tex]
Step-by-step explanation:
The function of displacement is
[tex]y=85t-16t^2[/tex]
[tex]\text{Average velocity}=\dfrac{\text{Total displacement}}{\text{Time elapsed}}[/tex]
Lasting 0.1 s
[tex]v_1=\dfrac{y(1.1)-y(1)}{1.1-1}\\\Rightarrow v_1=\dfrac{85\times 1.1-16\times 1.1^2-(85-16)}{0.1}\\\Rightarrow v_1=51.4\ \text{m/s}[/tex]
The average velocity is [tex]51.4\ \text{m/s}[/tex]
Lasting 0.01 s
[tex]v_2=\dfrac{y(1.01)-y(1)}{1.01-1}\\\Rightarrow v_2=\dfrac{85\times 1.01-16\times 1.01^2-(85-16)}{0.01}\\\Rightarrow v_2=52.84\ \text{m/s}[/tex]
The average velocity is [tex]52.84\ \text{m/s}[/tex]
Lasting 0.001 s
[tex]v_3=\dfrac{y(1.001)-y(1)}{1.001-1}\\\Rightarrow v_3=\dfrac{85\times 1.001-16\times 1.001^2-(85-16)}{0.001}\\\Rightarrow v_3=52.984\ \text{m/s}[/tex]
The average velocity is [tex]52.984\ \text{m/s}[/tex]
16 x 7 = 28 x n
and
39 x 5 = n x 15.
Step-by-step explanation:
the first one is 4 and the second one is 11.6
Step-by-step explanation:
16×7=28×n
or,16×7/28=n
or,112/28=n
or,n= 4
Again
39×5=n×15
or,39×5/15=n
or,195/15=n
or,n=13
Help Please! Find The Missing Sides Using Special Right Triangles.
Answer:
Choice 1
Step-by-step explanation:
m^2 +n^2=13^2
m^2=13^2-n^2
n^2=13^2-m^2
Both m & n =(13 x sq rt 2)/2
To put it another way:
m=(sq rt 2)/2 x 13
n=(sq rt 2)/2 x 13
Linda buys a packet of biscuits, there were p biscuits in it. She eats y of them and gave the rest to her friend. How many biscuits does Linda's friend get?
please help me with this
Answer:
A. 4/5
Step-by-step explanation:
The red dot is on 0.8
0.8 as a fraction is 4/5
a right cone has a slant height of 17 feet and the diameter of the base it 30 feet. what is the height of the cone?
Answer:
8
Step-by-step explanation:
The height of the cone is 8 feet by using the Pythagorean theorem.
How to find the height of a cone?The height of a cone can be found using the Pythagorean theorem and the slant height and radius (or diameter) of the base.
Given that the slant height of the cone is 17 feet and the diameter of the base is 30 feet, we can use the following formula to find the height:
height = √(slant height² - (diameter/2)²)
So in this case, the height of the cone would be:
height = √(17² - (30/2)²) = √(289 - 225) = √(64) = 8
Thus, the height of the cone is 8 feet.
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What is the equation of the line in slope-intercept form?
Answer:
y = ⅗x
Step-by-step explanation:
The line passes through the point of origin, (0, 0). This implies that the graph represents a proportional relationship between x and y. Thus, in slope-intercept form, the line of a proportional graph can be represented as y = mx.
Where,
m = slope/constant of proportionality = y/x
To write an equation for the line, let's find the slope using any of the points on the line.
Using (50, 30):
Slope (m) = 30/50 = ⅗
Plug in the value of m into y = mx
Thus, equation of the line would be:
y = ⅗x
Isabella correctly answered 18 of the questions on a history test. This represented 90% of the total questions. What was the total number of questions on the history test?
Answer:
20
Step-by-step explanation:
let x equal the number of questions
We know that
.9*x=18
to solve divide by .9 and get x=20
Answer:
20
Step-by-step explanation:
i took this on edg
Nicolas has to repair the roof on his grandmother's house. He needs a ladder
that is 12 meters long. If one meter is approximately equal to 3.3 feet, how long
does his ladder need to be in feet?
8.7 ft
o 3.6 ft
39.6 ft
O 12.2 ft
Answer:
The ladder has 39.6 feet
Step-by-step explanation:
Length Units Conversion
To convert from meters to feet we use the relation
1 m = 3.3 ft
The ladder that Nicholas needs to repair the roof of his grandmother's hours is 12 meter long.
Converting this length to feet we have
12 * 3.3 = 39.6 ft
The ladder has 39.6 feet
5a +8 2ab + 4 simplifies into:
Answer:
I think it is 5a+2ab+12
What is the equation of the line that has a slope of 1/2 and passes through the point (8,-1)? (Write your answer in slope intercept form)
Answer:
y = 1/2x - 5
Step-by-step explanation:
y = 1/2x+b
-1 = 1/2(8) +b
-1 = 4+b
-5 = b
If there are 9 players on a team how many different ways can you make a lineup?
A) 387,420,489
B) 362,880
C) 81
D) 336
Answer:
B
Step-by-step explanation:
9!=362880
look at pic and answer plzzzzz its a DLA (7th)
Answer: 187.96 cm
Step-by-step explanation: First you need to convert all of the units into centimeters. To do this you need to convert the 6 feet into inches. Since there are 12 inches in a foot, 6 feet is equal to 72 inches. Next add the 2 inches to 72, and now this means Tyson is 74 inches tall. Lastly convert the inches into centimeters by multiplying 74 by 2.54, which equals 187.96.
Answer:
187.96cm
Step-by-step explanation:
Step 1: Convert 6 feet 2 inches to centimeters.
We have 1 inch = 2.54 cm and 1 foot = 12 inches and 1 feet = 30.48 cm
=> 6 feet 2 inches is about 187.96cm
there are 86 calories in 100g of bannana
there are 89 calories in 100g of yougurt
amanda has 70g of bannana and 14og yogurt
what is the total of calories in this breakfast
Answer:
72.66 calories
Step-by-step explanation:
1. find 1g of bannana = calories
86÷100g = 0.86 calories
1g of bannana = 0.86 calories
2 find 1g of yougurt = calories
89÷100g = 0.89 calories
1g of yougurt = 0.89 calories
3. 70g of bannana= 70×0.86
= 60.2 calories
4. 14g yogurt= 14×0.89
= 12.46 calories
5. 60.2 calories +12.46 calories = 72.66 calories
PLEASE HELP!!! Using the zero product property.
Which expression(s) is (are) equivalent to
5(x + 9) + 7(y + 2) - x?
Select ALL that apply.
A. 5x + 9 + 7y + 2 - x
B. 4x + 7y + 59
OC. 5x + 45 + 7y + 14 - X
D. 11xy + 11
OE. 4x + 7y + 11
OF. 11xy + 59
Answer:
OC. 5x + 45 + 7y + 14 - X, OE. 4x + 7y + 11
Step-by-step explanation:
Because, 5(x + 9) is 5x + 45 and 7(y + 2) is 7y + 14 and so you simplify by simplifying the like terms for example 5x - x = 4x 45 + 14 = 59 and 7y stays the same.
The expression 5(x + 9) + 7(y + 2) - x can be equivalent to 4x + 7y + 59 and 5x + 45 + 7y + 14 - x, so option B and C are correct.
What is expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
Given expression:
5(x + 9) + 7(y + 2) - x
If you simplify, you will get,
5x + 45 + 7y + 14 - x,
And as further simplified we get,
4x + 7y + 59
Therefore, the expression 5(x + 9) + 7(y + 2) - x can be equivalent to 4x + 7y + 59 and 5x + 45 + 7y + 14 - x.
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There are 10 m of thread on the reel. She uses 210 cm. How much is left on the reel in centimeters
Answer: 8 meters and 90 centimeters
Step-by-step explanation:
there are 100 centimeters in a meter
manuel ate 1/3 of the crackers on a plate. his brother ate 1/4 of the crackers. there were 5 crackers left on the plate. how many crackers were on the plate to begin with
Answer:
there would have been 12 crackers on the plate at the start
Step-by-step explanation:
So 1/3 +1/4 = 7/12
Therefore 5/12 left on the plate …ie 5.
So total to start with
5/5×12=12
Ans 12
PLS HELP ME WITH THIS!!
Also pls explain why you go the answer.
Answer:
C
Step-by-step explanation:
To simplify this equation,
-x+10<2
-10 from both sides
-x<-8
Take out the negative
x<8
This means x is less than 8
For ≤ and ≥ , use a closed dot to indicate the number itself is part of the solution.
For < and >, use an open circle to indicate the number itself is not part of the solution.
In this case you use a open circle and becasue x is less than 8, the arrow pointing left is correct.
Lucy made $323 for 17 hours of work.
At the same rate, how many hours would she have to work to make $95
I need help with this problem please
Answer:
c'( 7,-8) , T < -3 , -5 > 0r
180
Step-by-step explanation:
hope this helps
Exercise 3
John spends half of his pocket money, then a third of the rest.
1) What proportion of the starting money does he have left?
2) Since he has 5 dollars left, how much did he initially have?
Answer:
1/2 - 1/3
3/6- 2/6 = 1/6
he has 1/6 left
6 X 5 = 30
he initially had $30
Exapand using Distributive Property: 2(x-5)
i need this ASAP please
Answer:
2x-10
Step-by-step explanation:
no time to explain
The base of a right prism is a right triangle. The lengths of the legs of the triangle are 3 meters and 5 meters. The volume of the prism is 30 cubic meters. Find the height of the prism
Answer:
15 meters
Step-by-step explanation:
What is the mode of the data set shown below?
{10, 2, 8, 9, 5, 2, 6}
A. 42
B. 7
C. 6
D. 2
Answer:
d. 2
Step-by-step explanation:
a mode is the most frequently appeared value in a set of data. in other words, the most repeated number in a set of x, y, z.
example:
2, 3, 8, 7, 8, 7, 8
number of times 2 appeared: 1
number of times 3 appeared: 1
number of times 7 appeared: 2
number of times 8 appeared: 3
the mode here would be 8, since it is the most repeated number.
I hope this helped.
The Change in your pocket weighs 23.42 grams. You remove a quarter that weighs 8.74 grams. How much weight is in your pocket?
Answer:
14.68
Step-by-step explanation:
it simple 23.42 minus 8.74
100 points and brainiest if correct:
What is the first step needed to solve 4 over 7 the whole multiplied by x minus 5 equal negative 13?
Subtract 13 from both sides
Divide both sides by 7
Add 5 to both sides
Multiply both sides by 4
Answer: Add 5 to both sides
What is the first step needed to solve 4 over 7 the whole multiplied by x minus 5 equal negative 13?
Answer- Add 5 to both sides
(4/7)x - 5 = -13
• As mentioned above, first step would be,
adding 5 to both sides
=> (4/7)x - 5 + 5 = -13 + 5
=> (4/7)x = -8
• Now, transporting 7 from L.H.S. to R.H.S
=> 4x = -8 × 7
=> 4x = -56
• Now in the same way, transporting 4 from L.H.S. to R.H.S
=> x = (-56/4)
=> x = -14
• And in this way, or taking (Add 5 to both sides) as our first step, we find that the value of x is -14.
∴ x = -14
Hope it helps.
Name the theorem or postulate that can be used to prove that these triangles are similar
Answer:
SSS similarity.
Step-by-step explanation:
AA, SAS, and SSA similarities means the triangle must have an angle, which it doesn't, so by process of elimination it is SSS similarity.
By AA similarity criteria, the triangle AOB is similar to the triangle COD. Therefore, option A is the correct answer.
In the given figure, two lines AB and CD are parallel.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider, the triangle AOB and the triangle COD.
Here, AB║CD
∠BAO=∠CDO (Alternate interior angles)
∠ABO=∠DCO (Alternate interior angles)
By AA similarity criteria ΔAOB≈ΔCOD
By AA similarity criteria, the triangle AOB is similar to the triangle COD. Therefore, option A is the correct answer.
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How many 9 portions for the 3 serves
Answer 60 ml oil 90 g onions 1200 g potatoes 1350 ml milk
Step-by-step explanation:
multiply by 3
Answer:
60 ml oil
90g onions
1200 g potatos
1350ml milk
Step-by-step explanation:
Im a lil confused with 20% of 180 ft
Answer:
36 ft
Step-by-step explanation:
20% x 180 = 36
Find the value of 49 – (-40)-(-3)+69
Answer:
49−(−40)−(−3)+69
=49+40+3+69
=89+72
=161.
Step-by-step explanation:
this answer ................
