Answer:
0.3° = 0.3π/180
8° = 2π/45
Multiplying both
0.3π/180×2π/45
3/10π/180 × 2π/45
You will get
π/300 × π/45
= π²/13500 where a = π² b= 13500
Hope this helps.
Jeremy analyses one of his parachute jumps. He draws a graph showing his velocity up to the opening of his parachute. a) Estimate Jeremy's acceleration at t = 10s to 1 decimal place. b) Estimate his average speed for this part of the jump. Give your answer to two significant figures.
Answer:
Jeremy's acceleration is about [tex]1\,\frac{m}{s^2}[/tex] at t =10 s
His average speed is about 44.5 m/s in this section of his jump approximating with points on the curve (under-estimate)
His average speed is about 46 m/s if using the tangent line (over estimate)
Step-by-step explanation:
Jeremy's acceleration can be estimated by the curve's derivative at that point. That is the slope of the tangent line to the velocity curve at x = 10 sec. Please see attached image where the tangent line is drawn in orange, and the points to use to calculate its slope are drawn in green.
These points are : (6, 42) and (14,50) which using the slope formula give:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{50-42}{14-6}=\frac{8}{8} \frac{m}{s^2} = 1\,\frac{m}{s^2}[/tex]
So his acceleration at that point is about [tex]1\,\frac{m}{s^2}[/tex]
Now, using about the same interval of x-values (from 6 to 14), the corresponding speeds are approximately: 40 (for time 6 seconds) and 49 (for time 14 seconds (look for the red dots on the attached image). Since the average velocity is given by the integral of the function between those points divided by the length of the interval where it is calculated:
[tex]v_{average}=\frac{area}{interval\,\,length}[/tex]
and we don't have the actual velocity function to estimate the integral, we can approximate this area by that of a trapezoid that connects the red dots with the bottom of the horizontal axis (see red trapezoid in the image). Clearly from the image, this approximation would give us an under-estimate of the actual average speed.
The area of this trapezoid is: approximately:
[tex]Trapezoid\,\, area=(49+40)\,8/2=356[/tex]
Then the average velocity estimated from it is:
[tex]v_{average}=\frac{356}{8} \frac{m}{s} =44.5\,\frac{m}{s}[/tex]
If the area is approximated instead with the trapezoid form by the green points we used to calculate the acceleration (this would give us an over-estimate):
[tex]Trapezoid\,\, area=(50+42)\,8/2=368[/tex]
Then the average velocity estimated from it is:
[tex]v_{average}=\frac{368}{8} \frac{m}{s} =46\,\frac{m}{s}[/tex]
while his actual instantaneous velocity seems to be about 46 m/s from the graph
Answer:
a) 1.0
b) s=45
Step-by-step explanation:
What is 15% of 80kg????
Answer:
12 kg
Step-by-step explanation:
15%×80 =
= 15×80/100
= 15×8/10
= 120/10
= 12 kg
37 POINTS pls help time limit 13 minute left...
Answer:
first 3
Step-by-step explanation:
Answer:
A B C and D are all true not the last one!
Step-by-step explanation:
Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3
The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.
What is a function?A function is a relation between two sets one is called domain and the other one is range.
Given functions are:
h(x) = 2x
f(x) = 8x² − 3x
g(x) = 19x
p(x) = 5x³ + 3
Here, p(x) = 5x³ + 3 is the only cubic function.
As the degree of the function p(x) is highest among all.
Therefore, this function p(x) grows at the fastest rate for increasing values of x.
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please see the attached image and help me complete this question , please , its an emergency
Answer:
46
Step-by-step explanation:
32+14 = 46
46 ppl study spanish
Answer:
A = the Venn diagram and the middle section is 41 because :
14 + 25 = 39
80 - 39 = 41
B = 25 ( because of diagram )
C = the number of kids who studied both and only studied it which is:
41 + 14 = 55 (so C = 55).
Find the side of to cube
whose volume is
5.832cm3
Answer:
[tex]1.8cm[/tex]
Step-by-step explanation:
Use the volume of cube formula.
[tex]\displaystyle V=s^3[/tex]
[tex]\displaystyle5.832=s^3[/tex]
[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]
[tex]\displaystyle s=1.8[/tex]
Answer:
a= 1.8 cm
Step-by-step explanation:
V= a³
a= ∛Va= ∛5.832a= 1.8 cmPriya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. Including herself, there are 12 people in the club. A package of cheese contains 16 ounces and costs $3.99. A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Let represent number of people in the club, represent the ounces of fruit punch, represent the ounces of cheese, and represent Priya's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.
Answer:
i) Number of people in club = 12
ii) 96 ounces of fruit punch for 12people
iii) 24 ounces of cheese for 12 people
iv) Priya's budget for poetry club meeting in dollars = $7.87
Step-by-step explanation:
We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.
Number of people in the club = 12
8 ounces of fruit punch per person
For 12 people = 12×8 = 96 ounces of fruit punch
2 ounces of cheese per person
For 12 people = 12×2 = 24 ounces of cheese
A package of cheese = 16 ounces
The costs for 1package = $3.99
The costs for 16 ounces of cheese = $3.99
The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985
The cost for 24 ounces of cheese = $5.99
One-gallon jug of fruit punch = 128 ounces
The cost of One-gallon jug of fruit punch = $2.50
The costs of 128 ounces of fruit punch = $2.50
The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875
The costs for 96 ounces of fruit punch = $1.88
Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87
Cost per item for x number of people:
y = x(2.5/128) + x (3.99/16)
y = x(0.0195) + x(0.2494)
Cost equation for Priya's budget:
y = 96x(2.5/128) + 24x (3.99/16)
y = 96x(0.0195) + 24x(0.2494)
Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12
FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2 gallongallon of juicejuice. How many cupcups of juicejuice does hehe buy?
Answer:
10 cups
Step-by-step explanation:
He buys 1 pint of juice and 1/2 gallon of juice.
We have to convert pint and gallon to cups and then add them.
1 pint = 2 cups
1 gallon = 16 cups
1/2 gallon = 1/2 * 16 = 8 cups
Therefore,
2 + 8 = 10 cups
Fernando buys 10 cups of juice.
oPr
on (x - 2)(x + 5) = 0?
________________________________
Hey!!
Solution,
(x-2)(X+5)=0
Either,
x-2=0
X=0+2
X=2
or,
X+5=0
X=0-5
X=-5
Hope it helps
Good luck on your assignment
____________________________
Suppose it costs you $100 to rent a jet ski, plus another $150 per hour
of use. Using the equation C = 150h + 100, where C represents the
total cost for the rental and h represents the number of hours you rent
the jet ski, identify the slope and y-intercept.
You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?
Answer:
you have 33 cans and so you have completed 166% of your goal
Step-by-step explanation:
I dont know
166 percent of the goal person as collected the cans.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, a goal to collect 50 cans for a food drive.
Person as collected 83 cans.
Here, x% of 50 =83
x/100 ×50 =83 (word "of" means multiplication)
x/2 =83
x=166 (Transpose 2 to RHS of the equation)
So, x=166%
Therefore, 166% of the goal person as collected the cans.
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Over winter break, Raymond worked 12.5 hours at the library and 20.5 hours at a café. The library paid him $13 per hour. If he earned a total of $459.75 from both jobs, how much did the café pay Raymond per hour?
Answer: the correct answers is $14.50
Step-by-step explanation:
The amount that the cafe pays per hour will be $14.50 per hour.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given,
The rate of the library = $13 per hour.
For 12.5 hours.
Earning from library = 13 x 12.5 = $162.5
Cafe pay per hour = x
For 20.5 hours.
Earning from cafe = 20.5x
Total earning = 162.5 + 20.5x
20.5x = 459.75 - 162.5
x = 14.5
Hence "The amount that the cafe pays per hour will be $14.50 per hour".
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Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.
Answer: 4
Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.
Find the value of x in the isosceles triangle shown below
Thank you!
Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant
Answer:
2 quadrant
Step-by-step explanation:
i think
Answer:
Quadrant 2...
Which function has an inverse function?
A- F(x) = l x-4 l + 1
B- F(x) = 25x^2+70x+49
C- F(x) = x^4
D- F(x) = x+3/7
Answer:
D
Step-by-step explanation:
Of these four functions, D is the only one that has an inverse. The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.
what is the solution to the equation x-16=-8
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
I’m kinda stuck on this, could anyone explain it ?
The slope of the given line is -3/4.
Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.
Use the given point and the point-slope formula to get the equation of the particular line:
y - (-1) = 4/3 * (x - 0)
y + 1 = 4x/3
y = 4x/3 - 1
Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?
Answer:
I believe the answer is four there is twice as many horses so you would double the amount of original goats.
The number of goats that went with 6 pigs and 10 horses is; 4 goats.
Let the number of horses be h.
Let the number of pigs be p
Let the number of goats be g.
We are told that horses vary directly as goats.
Thus;
h ∝ g
Thus; h = k1g - --(eq 1)
Also, we are told that horses varies inversely as pigs squared.
Thus;
h ∝ 1/p²
h = k2/p² - - - (eq 2)
Where k1 and k2 are constant of proportionality.
When there are 5 horses there are 2 goats. Thus;
5 = 2k1
k1 = 5/2
k1 = 2.5
When there are 10 horses, we will have;
10 = 2.5g
g = 10/2.5
g = 4
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Express 7040 in its standard form
Answer:
[tex]7.040 \times {10}^{3} [/tex]
Step-by-step explanation:
First write this number like this
[tex]7.040[/tex]
Then,
[tex]7.040 \times {10}^{3} [/tex]
To check whether your answer is correct you can do like this
[tex]7.040 \times {10}^{3} [/tex]
[tex] {10}^{3} = 10 \times 10 \times 10 \\ \: \: \: \: \: \: \: \: \: \: = 1000[/tex]
[tex]7.040 \times 1000 \\ = 7040[/tex]
yes, your answer is correct.
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the square root of 24 to the 16th power
Answer:
24 ^ 8
Step-by-step explanation:
sqrt(24) ^ 16th power
Rewriting the square root as ^ 1/2
24 ^ 1/2 ^ 16
We know that a^b^c = a^ (b*c)
24 ^ (1/2*16)
24 ^ 8
Answer:
2²⁴ *3⁸ or 24⁸
Step-by-step explanation:
the square root of 24 to the 16th power can be written as 24
([tex]\sqrt{24}[/tex] )¹⁶
√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or
24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]
then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸
the lines shown below parallel. if the green line has a slope of -1, what is the slope of the red line
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -1, the red line has a slope of -1
Helpppp meeeeee plsssssss
Answer:
a)3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a)3²×3² = 3^2+2=3⁴
b)7×7⁴=7¹×7⁴=7^1+4=7⁵
c)10⁹÷10⁷=10^9-7=10²
d)5⁸÷5=5⁸-5¹=5^8-1=5⁷
Picture attachment is below
Answer:
0.04
Step-by-step explanation:
Answer:0.04
Step-by-step explanation:4/100
A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?
Answer:
8
Step-by-step explanation:
There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat
Answer:80milliliters/pound
Step-by-step explanation:
Rate per a pound = 20/15=4/3
For 60pounds =4*60/3
=80milliliter/pound
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?
Answer:
20 feet
Step-by-step explanation:
5 descent =>100 feet
1 descent => 100÷5
= 20 descent
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
any suggestions on how to solve this? thanks
Answer: x = 4
Step-by-step explanation:
You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.
[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]
We can see here that doing sine will give us the length of the opposite
[tex]sin19.47 = \frac{x}{12}[/tex]. Do sine of 19.47, then multiply by 12. I got 4
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?
Answer:
Both conclusions are correct
Step-by-step explanation:
Ivan: The product of an even number of negative fractions is always positive.
When even numbers of same negative fractions are multiplied together, the product is positive.
For instance: -1 × -1
Since the total numbers to be multiplied are even (two -1), the product becomes +1
Ivan's conclusion is correct.
Polina: The product of an odd number of negative fractions is always negative.
When odd numbers of same negative fractions are multiplied together, the product is negative.
For instance: -1 × -1 × -1 × -1 ×-1
Since the total numbers to be multiplied are odd (five -1), the product becomes -1
(-1 × -1) × (-1 × -1) ×-1
= +1 × +1 × -1
The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value
= +1 × -1
= -1
Polina's conclusion is correct
Both are correct.
Answer:
both of them
Step-by-step explanation:
Find the slope of the line that passes through (5, 9) and (2, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
bdudbrksowodndiwnsonsuendumdjdndoamslals
The right answer is 7/3
hope it helps
Good luck on your assignment
