Answer:
a)[tex]s=\sqrt{1+d^2}[/tex]
b)d(t)=500t
c)[tex]s(t) =\sqrt{1+250000t^2}[/tex]
Step-by-step explanation:
d = Horizontal distance
s = the distance between the plane and the radar station
The horizontal distance (d), the one mile altitude, and s form a right triangle.
So, use Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]s^2=1^2+d^2[/tex]
a) [tex]s=\sqrt{1+d^2}[/tex]
(b) Express d as a function of the time t (in hours) that the plane has flown.
[tex]distance = speed \times time[/tex]
d(t)=500t
(c) Use composition to express s as a function of t.
[tex]s(t) =\sqrt{1+d^2}[/tex]
using b
[tex]s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}[/tex]
what’s the difference between 2.7 , 5.9 on a number line
Answer:
3.2
Step-by-step explanation:
5.9 - 2.7 = 3.2
**difference means subtract**
The difference is between 2.7 and 5.9 on a number line.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.
Any directed number's location can be determined using a number line. There are positive and negative axes in it.
We have to determine the difference between 2.7 and 5.9 on a number line.
⇒ 5.9 - 2.7
Apply the subtraction operation between 2.7 and 5.9, and we get
⇒ 3.2
Therefore, the difference is between 2.7 and 5.9 on a number line.
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Based on the equation 6x + 2y = 30, what is the missing value in the table?
Answer:
I think it is 5.
Answer:
Answer is 5
Step-by-step explanation:
Doing the quiz go tq00% just wanted to help people hope this helps yall.
Two angles form a linear pair. One angle measures
2
x
and the other angle measures
10
x
. Find the measure of the smaller angle.
Answer:
30 degrees
Step-by-step explanation:
a linear pair adds up to 180 degrees. therefore, you can compose the equation 2x+10x=180
12x=180
x=15
the smaller angle is 2x, so 2 times 15 is 30
What is the slope of the line for the situation below in decimal form?
Answer:
5/4
Step-by-step explanation:
The slope should be 5/4 because if you go to a point on the line where the boxes meet on your graph and connect it to another point, you can count. I like to use rise over run, meaning you count up or down until you get level with the point you're trying to reach, and the run is the left or right until you get to the point you need. I really hope this helped! It may seem confusing at first, but you got it!
Use the Normal model N(1114,65) for the weights of steers.
a) What weight represents the 42nd percentile?
b) What weight represents the 94th percentile?
c) What's the IQR of the weights of these steers?
a) The weight representing the 42nd percentile is nothing pounds. (Round to the nearest whole number as needed.)
b) The weight representing the 94th percentile is nothing pounds.(Round to the nearest whole number as needed.)
c) The IQR for the weights of these steers is nothing pounds. (Round to the nearest whole number as needed.)
When Quinn got home, he turned the air conditioner on.
QQQ represents the temperature in Quinn's home (in degrees Celsius) after ttt minutes.
Q=42-0.7tQ=42−0.7tQ, equals, 42, minus, 0, point, 7, t
What was the temperature when Quinn returned home?
degrees Celsius
Answer:
It’s 42
Step-by-step explanation: when Quinn return home, it was 0 minutes he turned on the air conditioner. So temperature at that time is equal to value of Q when t=0
Q=42-0.7t
=42-0.7(0)
=42
Answer:
42
Step-by-step explanation:
Factor the expression 15x + 21 completely
Answer:
3(5x+7)
Step-by-step explanation:
15x+21
3(5x+7)
Answer:
3(5x + 7)
Step-by-step explanation:
15x + 21
3(5x + 7)
Diagnosis of a square are
Answer: A square has two diagonals, they are equal in length and intersect in the middle. The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular. The diagonals of a square are the same length (congruent).
Step-by-step explanation:
Write the CONTRAPOSITIVE of the following statement: If three points are coplanar, then they are collinear.
Answer:
If they are not collinear, then the three points are coplanar.
Step-by-step explanation
Contrapositive is the negative + opposite of the original statement.
What is occurring when two waves traveling along the same medium meet and cancel each other out?
O destructive interference
O constructive interference
O reflection
O refraction
THIS IS URGENT PLEASE HELP!!!!!!
WILL GIVE BRANLIEST
Answer: Consructive interference
Step-by-step explanation:
Answer:
destructive interference
Step-by-step explanation:
Solve 4x- c= k for x.
K + c
A. X =
*=***
B. x = 4(k-c)
C. x = 4(k+ c)
К-с
D. x.
Answer:
Step-by-step explanation:
Let's begin the solution by isolating the 4x term:
4x- c= k => 4x = c + k
Now divide both sides by 4:
c + k
x = --------------
4
This does not match Answer C, but would match Answer C if k + c were divided by 4. Answer C, as shown, is incorrect.
This is a warmup for your first project. The drug valium is eliminated from the bloodstream through a decay process with a half-life of 36 hours. This means that no matter how much drug is in your body, 36 hours later, half will be left. An initial dose of 20 milligrams of valium is taken at midnight. This is actually a version of the mixing-tank problem with the tank representing the circulatory system. If we don’t know something, give it a name (e.g. flow in = rin). Assume that the volume of blood in a person does not fluctuate much, so we can assume it is a constant.
(a) Define your dependent and independent variable with units. Typical volume units for blood is in terms of Liters.
(b) What is the flow rate in? flow rate out? concentration going in? concentration going out? initial condition?
(c) Write the initial value problem (IVP).
(d) Solve your initial value problem.
(e) Use information given to you to determine all constants in your solution.
(f) What is the amount of valium in your body at noon the next day? How long does it take for the drug to reach 10% of its initial level?
Step-by-step explanation:
a. We have v as the amount of drug(mg) in the blood at time t (hrs)
b. Flow rate in = k litre/he
For a circulatory system we have the flow rate in and flow rate out to be the same
Therefore,
Flow rate out = k litre/hr
concentration of drug going in = 0mg/litre
Concentration of drug going out = v mg/litre
V(0) = 20mg since 20mg was taken at midnight
V(0) = 20
Half life t1/2 = 36 hours
V(36) = v(0)/2
= 20/2
= 10mg
C. [tex]ivp = \frac{dv}{dt}[/tex][tex]= -kv[/tex]
[tex]v(0) = 20mg\\v(36) = 10mg[/tex]
d. solution
[tex]\frac{dv}{dt} = -kt\\ln(v) = ln(c) - kt[/tex]
[tex]\frac{v}{c} = e^{-kt} = v=ce^{-kt}[/tex]
v(0) = 20
[tex]ce^{-k(0)} =20[/tex]
c = 20
so
[tex]v(t) = 20e^{-kt}[/tex]
e.
[tex]t\frac{1}{2}=36hours\\ v(36)= 10[/tex]
[tex]10 = 20e^{-36k}[/tex]
[tex]\frac{1}{2} =e^{-36k}[/tex]
we take log
[tex]k=\frac{ln(2)}{36}[/tex]
please check attachment for answer f
11 divided by 8 + 9 divided by 3
Answer:
Step-by-step explanation:
4.375
A company has beginning inventory of 20000, purchases of 15000, and ending of 2500. The cost of goods available for sale is?
Answer:
Maybe,2500. Is just my guessing.
Step-by-step explanation:
Cost of Goods Sold = Beginning Inventory + Purchases during the year - Ending Inventory
= 20,000 + 15,000 - 2,500
=35,000 - 2,500
=32,500
On Monday Sarah has to meet her friend at the park after school. The distance from her house to school is 2x+5. The distance from the school to the park is z if the total distance she walks that day is 10x +9 how far is
from the park back to her house? The graphic below is not drawn to scale
7z+4
7+14
8x + 4
13x + 4
Giving brainly
Complete Question:
On Monday, Sarah has to meet her friend at the park after school. The distance from her house to school is 2x + 5. The distance from school to the park is x. If the total distance she walks that day is 10x + 9, how far is it from the park back to her house?
Answer:
[tex] = 7x + 4 [/tex]
Step-by-step explanation:
Distance from her house to school = 2x + 5
Distance from school to park = x
Total distance walked that day including distance from the park back to her house = 10x + 9
Distance back to her house = total distance walked - (distance form her house to school + distance from school to park)
= [tex] (10x + 9) - ((2x + 5) + (x)) [/tex]
[tex] = (10x + 9) - (2x + 5 + x) [/tex]
[tex] = (10x + 9) - (3x + 5) [/tex]
[tex] = 10x + 9 - 3x - 5 [/tex]
Combine like terms
[tex] = 10x - 3x + 9 - 5 [/tex]
[tex] = 7x + 4 [/tex]
Evaluate each trigonometric equation for θ.
Answer:
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Step-by-step explanation:
Let us revise the trigonometry functions
Sin(x) = opposite/hypotenuseCos(x) = adjacent/hypoteouseTan(x) = opposite/adjacentCsc(x) = hypotenuse/oppositSec(x) = hypotenues/adjacentCot(x) = adjacent/oppositeIn the given figure
The opposite side to angle Ф = 8
The adjacent side to angle Ф = 15
Find the hypotenuse using Pythagoras' theorem
[tex]Hypotenuse = \sqrt{8^{2}+15^{2} }[/tex]
[tex]Hypotenuse = \sqrt{64+225}[/tex]
[tex]Hypotenuse = \sqrt{289}[/tex]
[tex]Hypotenuse = 17[/tex]
Let us use the rules above to find the trigonometry functions
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Cargo ships arrive at a loading dock at a rate of 2 per day. The dock has the capability of handling 3 arrivals per day. How many days per month (assume 30 days in a month) would you expect the dock being unable to handle all arriving ships
Answer: 4 days
Step-by-step explanation:
Kindly check attached picture for detailed explanation
Im having a really hard time rn ;-;
2(a + 6) – 3(a – 5) = 18
Answer: A= 9
Step-by-step explanation:
2(a+6)-3(a-5)=18
FIRST YOU WANT TO DISTRUBUTE THE PARENTHESIS
2a + 12 -3a + 15 =18
ADD AND SUBTRACT LIKE TERMS
-1a + 27 = 18
SUBTRACT 27 ON BOTH SIDES
-1a + 27 =18
- 27 -27
-1a= -9
DIVIDES -1 ON BOTH SIDES AND NEGATIVES CANCEL OUT SO IT WOULD BE
A= 9
ITS EASY BUT I DIDNT STUDY - PLZ HELP
Answer:
B
The answer is b im doing a type limit.
The expression you wrote for part b represents how the jacks and balls can be split among Harold and his friends. What does each number in the expression represent?
Answer:
6 represents the number of people among which the balls and jacks will be split.
4 represents the number of balls.
10 represents the number of jacks.
Step-by-step explanation:
This is the PLATO answer, hope it helps :)
Answer:
6
Step-by-step explanation:
Find the missing value
Answer:
-12
Step-by-step explanation:
Let's replace that blank with x for now ;)
x - (-5) = -7
First, let's change that -(-5) to +5 because subtracting negatives is the same as adding.
x + 5 = -7
Subtract five from each side.
x + 5 = -7
-5 -5
x = -12
So then we change that x back to the blank and fill it in with -12.
Let me know if this helped!
Can you help me please
Answer:
Step-by-step explanation:
6, 2, 4 =136*
136+136=272
1,3,7,5 = 44 each
360* is the total 4 numbers
If there is a nonmathematical symbol in the preceding expression, then your browser doesn't have the math symbol font. Please follow the instructions on the WeBWorK front page to install the STIX math fonts. To get around this temporarily, (i) print a hardcopy (the symbols will be there), (ii) in the options box in the right column of this screen, check the formatted option and press the apply options button, or (iii) go to a UITS public cluster (e.g., the Library) and work there.) Find the following:
a. g(h(x))=_______
b. h(g(x))=_______
c. h(h(x))=_______
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]
b
[tex]h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17[/tex]
c
[tex]h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]
Step-by-step explanation:
From the question we are told that
[tex]h(x) = x^2 + x + 5[/tex]
and
[tex]g(x) = \sqrt[4]{x} + 3[/tex]
Considering first question
Now we are told g(h(x))
i.e
[tex]g(h(x)) = [x^2 + x + 5 ]^{\frac{1}{4} } + 3[/tex]
=> [tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]
Considering second question
Now we are told h(g(x))
i.e
[tex]h(g(x)) = [x^{\frac{1}{4} } + 3]^2 + x^{\frac{1}{4} } + 3 + 5[/tex]
=> [tex]h(g(x)) = x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}} + 8[/tex]
=> [tex]h(g(x)) = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17[/tex]
=> [tex]h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17[/tex]
Considering third question
[tex]h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] + 5[/tex]
=> [tex]h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]
What digit is known to be in fron of a variable if
we do not see one?
its just the letter
0
Answer:
if we dont see a numer in front of a variable it is just 1
Step-by-step explanation:
so for example if you had x^2
it would be 1x^2
Find the angle measure of a blue wedge
Answer:
14 +15 the answer is this
I'm just confuse prob need bit help
PLEASE HELP ! 30 POINTS WHOEVER ANSWERS GETS BRAINEST! Evaluate.
4/7 +3/4
37/56
1 19/28
3/7
7/11
Answer:
55075 / 68992
Step-by-step explanation:
:) hope this helps
I need help asap! Answer question quickly.
Answer:
455 so its A
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
861 - (182 + 224) = 861 - 406 = 455
Determine which of the following statements are true. Select all that apply.All rational numbers are also integers. Zero is not a rational number. All integers are rational numbers. All rational numbers can be written in the form
Step-by-step explanation:
1)All rational numbers are also integers.
2)All integers are rational numbers.
3)All rational numbers can be written in the form.
Decrease 520 by 15% what Is the answer?
Answer:
442
Step-by-step explanation:
If you want to decrease 520 by 15%, you have to multiply 15% by 520 first, which is 78. Next, you have to minus 78 from 520. Now you get 442!
The number is 442 which is obtained after decreasing 520 by 15% the answer is 442.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Let x be the number that is obtained after decreasing 520 by 15%
= (100 - 15)% of 520
= 85% of 520
= 0.85×520
= 442
Thus, the number is 442 which is obtained after decreasing 520 by 15% the answer is 442.
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