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The increase in pressure (P) is a linear function of the depth (d) to which a scuba diver descends. This is the function: P(d)=0.445d + 14.7.
1.) What does the initial value represent?
2.) What does the rate of change represent?
Answer:
Initial value = 14.7
Rate of change = 0.445
Step-by-step explanation:
Given the linear function :
P(d) = 0.445d + 14.7
The linear equation above takes the general. Form of a slope - intercept equation :
y = mx + c
Where ; m = slope or gradient = rate of change in y per unit change in x
c = intercept , which is the intial value of y when x = 0
Thus using the above information ;
Initial value = intercept value = 14.7
The rate of change is the slope value = 0.445
A square garden has an area of 0625
hectares Okoth went round it twice
how many metres did he cover
Answer:
to answer this question i need to know what and what x together to get the area
Step-by-step explanation
how do you find the value in a ratio?
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.
Step-by-step explanation/example
The car was traveling 60 miles per hour, or 60 miles in 1 hour. You have a 1 in 28,000,000 chance of winning the lottery. Out of every possible scenario, only 1 out of 28,000,000 of them has you winning the lottery.
Answer:
China can have the brainiest.
Step-by-step explanation:
Prove that:
1+cot²a / 1 + cosec a = cosec a
Step-by-step explanation:
LHS= 1 + cot^2A/1+cosecA
=(1+cosecA + cot^2A)/1+cosecA
{By using basic trigonometric theorem cot^2A = cosec^2A - 1}
=(1+cosecA + cosec^2A - 1)/(1+cosecA)
=(cosecA + cosec^2A)/(1+cosecA)
=[cosecA (1+cosecA)]/(1+cosecA)
{Cancelling 1+cosecA}
=cosecA
I need help with Geometry
Which four colonies were considered to be part of the Middle Colonies? A: New York B: Pennsylvania C: Connecticut D: Virginia E: Delaware F: New Jersey
Answer:
The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.
Step-by-step explanation:
Consider the provided information.
The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.
The four colonies that were considered to be part of the Middle Colonies are:
New Jersey, Pennsylvania, New York and Delaware Colony
So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.
Identify the function shown in this graph.
O A. y=-3x+1
B. y = 3x + 1
C. y = 12+1
D. y = 3x - 1
Answer:
y = 3x + 1
Step-by-step explanation:
As you can see the y-intercept is at the number 1
and for the slope, if u do rise over run or y/x you get....
3/1 = 3
So the slope is 3
Hope this helped!
The number of times that interest is compounded per year is represented by the variable ____.While the annual interest rate is represented by___.
Answer:
1. (n) 2. (r)
Step-by-step explanation
interest compounded per year is (n),
annual interest rate is (r).
The number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
A = amount, P = principal, r = rate of interest, n = number of times interest is compounded per year and t = time (in years).
Therefore, the number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
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Carla is going on a boat tour. The boat will travel a total distance of 40 kilometers during the 10 hour tour. If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 7 hours? Choose the correct answer below.
Answer:
Distance cover in 7 hour = 28 kilometer
Step-by-step explanation:
Given:
Distance = 40 kilometers
Time taken = 10 hour
Find:
Distance cover in 7 hour
Computation:
Distance cover in 7 hour = (40/10)7
Distance cover in 7 hour = (4)7
Distance cover in 7 hour = 28 kilometer
Sandra is now three times as old as her daughter .Five years ago her age was 10 years more
Step-by-step explanation:
This is an incomplete question. Kindly complete it for assistance
Step-by-step explanation:
Aaron (A)=30 years old currently. (Aaron's son (S)=10 years old currently)
PREMISES
3S+10=2(S+10)
ASSUMPTIONS
Let A=Aaron's “current” age (3S in terms of his son's age)
Let S=Aaron's son's “current” age (S)
CALCULATIONS
3S+10=2(S+10)
3S+10=2S+20
(3S-2S)+10=(2S-2S)+20
S+10=0+20
S+(10–10)=20–10
S+0=10
S=
10 years old
and,
if S=10 years old, then
A=3S (Aaron's “current” age in terms of his son's age)
A=3(10)
A=
30 years old
PROOF
If A=30 years old, then the equations
3S+10=2(S+10)
3(10)+10=2(10)+20
30+10=20+20 and
40=40 establish the roots (zeros) A, S={30 years old, 10 years old} of the mathematical statement 3S+10=2(S+10)
A point K is on the perpendicular bisector of a segment with endpoints at H and J. What must be true about point K? It is equidistant from H and J It falls on the h j It is at the midpoint of h j Not enough information is given
Answer:
[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].
Step-by-step explanation:
Given that the point [tex]K[/tex] which is on the perpendicular bisector of the line segment having endpoints at [tex]H[/tex] and [tex]J[/tex].
The given situation can be represented as the diagram as attached in the answer area.
Referring to the [tex]\triangle HOK, \triangle JOK[/tex]:
[tex]\angle HOK = \angle JOK=90^\circ[/tex] (As it is the perpendicular bisector)
[tex]OH = OJ[/tex] (As it is the perpendicular bisector)
Also, the side [tex]OK[/tex] is the common side.
Therefore by [tex]S-A-S[/tex] congruence, [tex]\triangle HKO\cong \triangle JKO[/tex]
As per the properties of congruent triangles:
Side [tex]HK[/tex] = Side [tex]JK[/tex]
[tex]HK[/tex] and [tex]JK[/tex] are nothing but the distance of the point [tex]K[/tex] from the end points [tex]H[/tex] and [tex]J[/tex] which are proved to be equal to each other.
Therefore, we can conclude that:
[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].
hey can someone please help me asap
3rd one
Step-by-step explanation:
Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of the point p
Answer:
a) [tex]G(x)= \sin x + 2[/tex]
b) The coordinates of P are
[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]
Step-by-step explanation:
Translation
The dashed line shows the graph of the function
[tex]y = \sin x[/tex]
This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:
[tex]\boxed{G(x)= \sin x + 2}[/tex]
b) The coordinates of P correspond to the value of
[tex]x = \frac{3\pi}{2}[/tex]
The value of G is
[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]
Since
[tex]\sin \frac{3\pi}{2}=-1[/tex]
[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]
The coordinates of P are
[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]
Find the value of a and b when x = 10
a= 5x²/2
b= 2x²(x-5)/10x
what is the formula of Arae circle
Answer:
A=πr2
Step-by-step explanation:
Answer:
A= πr²
r = Radius
Step-by-step explanation:
In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.
Hope it is helpful......
Which of the following statements is
CORRECTLY matched?
A. 20 km <200m
19. four years <36 months
C. obtuse angle > reflex anglo
D. 812 821
Answer:
d 812 821 here is the answer
solve this inequality for x. 81 - 1 1/5x 55
A.x>21/2/3
B.x 5 1/5
D.< -21 2/3
Answer:
A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I got it right on plato
Figure EFGH is a trapezoid.
Trapezoid E F G H is shown. Sides E F and H G are parallel. Angle H is a right angle. Angle E is (9 x) degrees, angle F is (14 x) degrees, and angle G is (4 x) degrees.
What is the measure of angle F?
100o
130o
140o
150o
Answer:
B.
Step-by-step explanation: B.
Answer:
B.
Step-by-step explanation:
HELP I WILL MARK U BRAINLIEST!!
Answer:
Y-7 is the answerr
Step-by-step explanation:
Because there's is a minus sign behind of the y
cómo se cambia grados a radianes
. How many solutions does this system of equations have?
y = 4x - 2.
y = 4x +5 *
Answer:
No solutions
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Can someone please help me with this?
Answer:
13. x = 12
Step-by-step explanation:
[tex]\frac{16}{x}=\frac{12}{9}[/tex] cross multiply
12x = 144
x = 12
Help round all THE WAY decimal or fraction form!!
Answer:
The answer to the question provided is
[tex] \frac{1}{2} [/tex]
hiiiiii please help me i’ll give brainliest if you give a correct answer
Answer:
2nd box, and 4th box.
Step-by-step explanation:
Give the coordinates of the image of the figure below after the transformation.
Reflect triangle ABC with vertices A(-3, 2), B(-1.7), and C(6. 1): x-axis
B
A
c
Answer:
B ( -1,-7)
A (-3,-2)
C (6, -1)
Step-by-step explanation:
Explanation:-
Given vertices are A( -3,2) , B(-1,7) and C(6,1)
Reflection about the x-axis then the coordinate points are transformed to
(x,y)→ (x,-y)
A(-3,2)→ A¹(-3,-2)
B(-1,7)→ B¹(-1,-7)
C(6,1)→ C¹(6,-1)
Explain the steps needed to solve the inequality.
-3x + 4 > 25
Step-by-step explanation:
-3x + 4 > 25
-3x > 21 (subtract 4 on both sides)
x < -7. (divide -3 on both sides, flip the sign)
what is the surface area!!
Answer:
450
Step-by-step explanation:
find perimeter of bases and then the area. then find Lateral Surface area to get Surface area
-2 + 6.45 - 6 + (-3.5z)
The terminal side of ø quadrant IV and sin ø = -12/13. What is the cos ø?
A. 5/13
B. 5/12
C. -5/12
D. -5/13
Answer:
Step-by-step explanation:
cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169
cos θ is positive in Quadrant IV
cos θ = √(25/169) = 5/13
The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.
What is Trigonometric functions?Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
We have: The terminal side of θ is in quadrant IV quadrant
sinθ = -12/13
cos²θ = 1 - sin²θ
cos²θ = 1 - (-12/13)²
cos²θ = 1 - 144/169
cos²θ = 25/169
cos θ = √(25/169)
cos θ = 5/13
cos θ is positive in Quadrant IV
Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.
Learn more about Trigonometric functions here:
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