Answer:
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The linear function that gives the total pressure exerted on an underwater object at a depth of f feet below sea level is given by:
p = l + 0.0303f.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
The pressure changes by 1 for each 33 feet of depth, hence m = 1/33 = 0.0303.The initial pressure is of l, hence b = l.Thus, the function is given by:
p = l + 0.0303f
More can be learned about linear functions at https://brainly.com/question/24808124
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In which expression should the exponents be multiplied? (4 points)
The rectangle has a length of -2x + 10 and a width of 10. a) Find the area of the rectangle and simplify.
Answer:
Area = -20x + 100Perimeter = -4x + 40Step-by-step explanation:
Given rectangle with
Length l = - 2x + 10 Width w = 10To find
AreaPerimeterSolution
A = lwA = (-2x + 10)*10 = -20x + 100P = 2(l +w) P = 2( -2x + 10 + 10) = 2( -2x + 20) = -4x + 40Angle A and angle B are complementary angles. If m angle A = (x + 8) and m
angle B = (8x + 1)", then find the measure of angle A.
You want to buy a new hat that costs $9.20 on the price tag. How much
will you pay at the register if there is an 8.5% tax? Round to the nearest
cent. *
Answer:
$9.98 :)
Step-by-step explanation:
just multiply the tax (0.085) by the price ($9.20) then add the initial price ($9.20) to that.
Which of the following is an equation of the line with slope 2 that passes through the point (-1,-4)
Show complete working format
Answer:
y = 2x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
Slope m = 2
Random point (-1, -4)
y = 2x + b
Step 2: Find b
-4 = 2(-1) + b
-4 = -2 + b
-2 = b
Step 3: Rewrite linear equation
y = 2x - 2
given a right-angled triangle with perimeter 18. The sum of the squares of the three side lengths is 128. What is the area of the triangle ?
Answer:
9units²
Step-by-step explanation:
A triangle has 3 sides. Let the length of the three sides be a, b, c.
If the perimeter of the triangle is 18, then;
P = a+b+c
a+b+c = 18... 1
If the sum of the squares of the three side lengths is 128, this means;
a²+b²+c² = 128... 2
Since the triangle is also right angled, according to Pythagoras theorem;
c² = a²+b²... 3 (taking c as the hypotenuse)
Substitute equation 3 into 2;
(a²+b²)+c² = 128
c²+c² = 128
2c² = 128
c² = 128/2
c² = 64
c = √64
c = 8
Substituting c = 8 into 1
a+b+c = 18
a+b+8=18
a+b = 10 ...... 3
Substituting c = 8 into 2
a²+b²+c² = 128
a²+b²+8² = 128
a²+b²+64 = 128
a²+b²= 64..... 4
Solve equation 3 and 4 simultaneously;
a+b = 10
a²+b²= 64
From 4; a = 10-b
Substitute a = 10-b into 4;
(10-b)²+b² = 64
100-20b+b²+b² = 64
2b²-20b+100-64 = 0
2b²-20b+36 = 0
Divide through by 2:
b²-10b+18 = 0
b = 10±√10²-4(18)/2
b = 10±√100-72/2
b =( 10±√28)/2
b =(10±√4×7)/2
b = (10±2√7)/2
b = 5±√7
Hence b = 5+√7
If a+ b = 10
a+(5+√7 ) = 10
a = 10-(5+√7)
a = 10-5-√7
a = 5-√7
Area of the triangle A = 1/2 ab
A = 1/2 × (5+√7) × (5-√7)
A = 1/2 × (25-5√7+5√7-7)
A = 1/2 × (25-7)
A = 1/2 × 18
A = 9
Hence the are of the triangle is 9units²
helphelphelphelphelp
Answer:
Point A
Step-by-step explanation:
Given: KM bisects JKL
Prove: m MKL= 1/2m JKL
please explain
Start with out given statement:
Line KM bisects <JKL and the reason for that is because it's given.
For statement 2, we know that m<JKM = m<MKL
because of the definition of an angle bisector.
For statement 3, we can use the angle addition
postulate to get m<JKM + m<MKL = m<JKL.
For statement 4, we use substitution from
the info in statement 2 to get m<MKL + m<MKL = m<JKL.
For statement 5, we simplify to get 2(m < KML) = m<JKL.
For statement 5, we use the division property of equality.
All the reasons are underlined.
8. Why is it NOT useful to view science as a set of facts?
This is my honest opinion
Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.
I hope it helps.
Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth
i) How old is Kenneth?
ii) How old is Randy?
Answer:
Kenneth: 12 years old
Randy: 48 years old
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.
Equation 1
r=4k
This equation comes from the first part, where Randy is four times as old as Kenneth.
Equation 2
r=36+k
This equation comes from the second part, where Randy is 36 years older than Kenneth.
Since we have r=, we can use substitution method.
4k=36+k [subtract both sides by k]
3k=36 [divide both sides by 3]
k=12
Now that we have found k, we can plug that into any equation to find r.
r=4(12) [multiply]
r=48
Now, we know that Randy is 48 years old and Kenneth is 12 years old.
a rectangular piece of metal is 15in longer then it is wide. squares with sides 3in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 1092in cubed what were the original dimensions of the piece of metal?
Step-by-step explanation:
Let x equal the width of the box and x + 15 equal the length of the box. Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6). These are the length and width of the box respectively. We also know that the height of the box is 3. Plugging these into the formula for the volume of a box gives you:
3(x+9)(x-6)=1092
Expanding this out gives:
3x^2+9x-162=1092
Subtract 1092 from both sides to make the quadratic equation equal zero. Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.
3x^2 +9x-1254 = 0
a = 3 b = 9 c = -1254
I hope this helps :)
3х^2–36 = — 84
can someone help me with this one
Answer:
No real solution.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Write the word phrase for the equation 7x + 10 = 14 divided by x
Step-by-step explanation
ten plus x multiplied by seven is equal to fourteen divided by X
whayt is the value 4x0.36
In a scale drawing of a painting, 1 centimeter represents 6 Inches.
Scale
1 cm: 6 in
Answer the following.
(a) In the scale drawing, the length of the painting is 7
centimeters. What is the length of the real painting?
(I) inches
X
(b) The height of the real painting is 24 inches. What is the
height of the painting in the scale drawing?
I centimeters
38503.45 in standard form
Hey there!
ANSWER:[tex]38503.45[/tex]EXPLANATION:38503.45 in standard form.
The decimal 38503.45 is already in standard form. Try multiplying [tex]38503.45[/tex] by [tex]10^0[/tex].
[tex]38503.45*10^0=38503.45\\38503.45(ANSWER)[/tex]
The answer is the same as the decimal. That is because it was already in the standard form.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
A line with a slope of 1/7 passes through the points seven and one what is it equation in slope intercept form
Answer:
y=1/7x
Step-by-step explanation:
Plug into Point slope form:
y - 1= 1/7( x -7)
y -1 = 1/7 x -1
y -1 +1 = 1/7x -1 +1
y= 1/7x
How do I rewrite a quadratic into graphing form
Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
The volume of a pyramid, V, is calculated using the formula V = 1/3 AH, where A is the area of the base and H is the height of the pyramid.
Rearrange the formula to solve for the base area (A)
Answer:
A= 3V/H
Step-by-step explanation:
V=1/3 AH
multiply 3 on both sides
3V=AH
divide both sides by H
3V/H=A
At the fair, Terrell has 47 ride tickets. Each ride on the Ferris wheel costs 6 tickets. After
riding the Ferris wheel as many times as possible, how many tickets will Terrell have left?
Answer:
Terrell has 5 tickets left.
Step-by-step explanation:
Alfred and his 4 friends bought 13 1/4 pounds of gummy bears at $1.20 pound . If the cost is divided between alfred and his four friends what would each person pay
Convert 10 mL/sec to L/min
Step-by-step explanation:
1000 mL = 1 L
10 mL = 1/1000 × 10 = 0.01 L/sec
60 sec = 1 min
1 sec = 1/60 min
0.01 L/sec
= 0.01 L × 60
= 0.6 L/min
10 mL/sec = 0.6 L/min
The number of fungi on a culture has increased from 800 spores to 1,600 spores in 1 hour. What is the growth factor for
this fungus?
0.1
1
2
10
can someone help me? help
Answer:
Step-by-step explanation:
Remove the brackets
3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7
Combine
3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7
3x^3 17x^2 +6x - 7
-1 7/8 + -6 Help, please.
You have taken up gardening for relaxation and have decided to fence in your new
rectangular shaped masterpiece. The length of the garden is 4 meters and 34 meters
of fencing is required to completely enclose it. What is the width of the garden?
Answer:
13 meters
Step-by-step explanation:
Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.
4 meters + width = 17 meters
width = 13 meters . . . . . subtract 4 meters
A diver descends 90 feet in 5 minutes. What is the
diver's change in depth per minute?
Answer:
18 feet/min
Step-by-step explanation:
Divide 90/5 to find the diver's change in depth per minute 18 feet per minute is the answerLynn and Max are divers. Lynn's depth gauge says she is 43.6 feet deep. Max's depth gauge says that he is 54.2 feet deep. Who is closer to the surface? Write two statements of inequality to describe the situation.
Answer: Lynn is closer to the surface.
Step-by-step explanation:
Lynn is 43.6 deep meaning -46.3. Max is 54.2 feet meaning that he is -54.2 feet below sea level. so the smaller the number the close it is to 0 (which in this case is the surface) hope this helped
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started. pls help fgkogijriojg
Answer:-32
Step-by-step explanation:
You times the two numbers and add a negative sign in front of it
8 would be a negative in this situation and 4 would be a positive. So the problem would look like this:
-8 x 4 = ?
For this particular problem, we would do 8 x 4 which would equal 32. Then we would try to find which one has the greater absolute value.
Absolute Value:
4 = 4
-8 = |8|
Since -8 has the greater absolute value, the answer would be negative.
The Answer: -32
a decimal number in which a digit or group of digits
repeats without end
Answer:
that is called a repeating decimal.
Step-by-step explanation: