Answer:
Given: <1 + <2; Line AX = line BX
Prove: Line AC = BD
Step-by-step explanation:
Help please I’m being timed
7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,
d(h) = 1/6 |h – 300| - 50 where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbor master and you want to place buoys where the river bottom is 20 feet below the surface. If one buoy is to be placed 120 feet away from the left shore, how far should the second buoy be placed form the left shore?
(Note: A buoy is an anchored float serving as navigation mark, to show reefs or other hazards to guide ships.)
Answer:
If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480
Step-by-step explanation:
Given that:
The absolute value function:
[tex]d(h) = \dfrac{1}{6}|h - 300| - 50[/tex]
To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.
d(h) = -20
[tex]d(h) = \dfrac{1}{6}|h - 300| - 50 = -20[/tex]
Let us add the sum of 50 on both sides, then:
[tex]= \dfrac{1}{6}|h - 300| - 50+50 = -20+50[/tex]
[tex]= \dfrac{1}{6}|h - 300| = 30[/tex]
By multiplying 6 on both sides, we have:
|h - 300| = 30 (6)
|h - 300| = 180
We can attempt the above expression by rewriting it as two equations:
h - 300 = 180 or h - 300 = - 180
Let us add 300 to both sides from the two expressions above:
h - 300 + 300 = 180 + 300 or h - 300 + 300 = -180 + 300
h = 480 or h = 120
Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480
[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex] is an illustration of an absolute function.
The buoy should be placed at 480 feet from the left shore
The function is given as:
[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex]
To place a buoy at 20 feet below, means d(h) = -20
So, we have:
[tex]\mathbf{-20 = \frac 16|h - 300| - 50}[/tex]
Add 50 to both sides
[tex]\mathbf{30 = \frac 16|h - 300|}[/tex]
Multiply both sides by 6
[tex]\mathbf{180 = |h - 300|}[/tex]
Remove absolute bracket
[tex]\mathbf{h - 300 = -180}\ or\ \mathbf{h - 300 = 180}[/tex]
Make h the subject
[tex]\mathbf{h = 300-180}\ or\ \mathbf{h = 300+180}[/tex]
[tex]\mathbf{h = 120}\ or\ \mathbf{h = 480}[/tex]
This means that, the buoy should be placed at 480 feet from the left shore
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Round 90.2844097979 to 3 decimal places.
Answer:
It would be 90.284.
Step-by-step explanation:
At a sale, coats were sold for $118 each. If the coats originally cost $200 each, what percentage of its original price was a coat sold for?
rAnswer:
Step-by-step explanation:
20$
how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
Answer:
x = 7 ± [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Given
4(x - 7)² - 48 = 12 ( add 48 to both sides )
4(x - 7)² = 60 ( divide both sides by 4 )
(x - 7)² = 15 ( take the square root of both sides )
x - 7 = ± [tex]\sqrt{15}[/tex] ( add 7 to both sides )
x = 7 ± [tex]\sqrt{15}[/tex]
given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.
(0,5) ; m =3
Answer:
Step-by-step explanation:
y - 5 = 3(x - 0)
y - 5 = 3x - 0
y = 3x + 5
Answer:
Step-by-step explanation:
answer on edmentum
A team of runners is needed to run a 1/4 mile relay race . If each runner must run 1/16
mile. How many runners do they need to run the race?
Answer:
4 runners
Step-by-step explanation:
if f(x) = 3x-1 and g(x)= x+2 find (f-g)(x)
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x) = x+2
Find (f-g)(x), this means we need to subtract g from x.
(3x-1) - (x+2)
Subtract the like terms:
3x -x = 2x
-1 -2 = -3
Combine them to get 2x-3
evaluate the function f (x)=-2x+3 for x=-1
Answer:
f ( - 1 ) = 5
Step-by-step explanation:
Step 1:
f ( x ) = - 2x + 3 Function
Step 2:
f ( - 1 ) = - 2 ( - 1 ) + 3 Input x value
Step 3:
f ( - 1 ) = 2 + 3 Multiply
Answer:
f ( - 1 ) = 5 Combine Like Terms
Hope This Helps :)
4. Find the slope of the line through the points (-6, 4) and (8,-4). m =
Answer: Hope it helps :)
-4
7
Step-by-step explanation:
You have to use the formula y2-y1
x2-x1
So -4-4
8--6
-4-4= -8
8--6= 14 (two negative signs become a positive sign)
You have -8 over 14
If you simplify it's -4/7 or -4
7
Answer:
-4/7
Step-by-step explanation:
please help with math problem !! (explanation needed) -3 + (8 – 2x)4 = 29
Answer:
x = -4
Step-by-step explanation:
To solve this type of question, put the term with the exponent on one side and the numerical term on the other side
∵ -3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29
→ Add 3 to both sides
∵ -3 + 3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29 + 3
∴ [tex](8-2x)^{\frac{5}{4}}[/tex] = 32
→ Remember is [tex]x^{\frac{m}{n}}[/tex] = a, then x = [tex]a^{\frac{n}{m}}[/tex], that means to move the exponent
from one side to the other side reciprocal it
∴ 8 - 2x = [tex](32)^{\frac{4}{5}}[/tex]
→ Use your calculator to find the value of [tex](32)^{\frac{4}{5}}[/tex]
∵ [tex](32)^{\frac{4}{5}}[/tex] = 16
∴ 8 - 2x = 16
→ Subtract 8 from both sides
∴ 8 - 8 - 2x = 16 - 8
∴ -2x = 8
→ Divide both sides by -2
∴ x = -4
To check the solution substitute x by -4 in the left side and find its answer if it equals the right side, then the solution is right
∵ Left side ⇒ -3 + (8 - 2 × -4)[tex]^{\frac{5}{4}}[/tex] = -3 + (8 + 8)[tex]^{\frac{5}{4}}[/tex] =-3 + (16)[tex]^{\frac{5}{4}}[/tex] = -3 + 32 = 29
∵ Right side = 29
∴ The solution is right
The GCF, greatest common factor, for 35 and 70 is:
O No answer text provided.
O No answer text provided.
O 5
O 35
O 70
o
None of the above
Answer: 35
Step-by-step explanation:
What is the answer to
-100%+0.58= ?
Answer:
-0.42
Step-by-step explanation:
Answer: -0.42
Step-by-step explanation:
HELP ASAPPPPP 5 POINTSSSSS
Answer:450
Step-by-step explanation:
first subctract then add
Answer:
The answer is C. The vertex is (-1,-12)
Step-by-step explanation:
F a seed is planted, it has a 75% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 2 don't grow?
Answer:
0.3
Step-by-step explanation:
Given that:
Probability of growing into a healthy plant = probability of success (p) = 75% = 0.75
Number of seeds planted(n) = 9
Probability that exactly 2 don't grow is equivalent to having 7 that grows (9 - 2) = 7 = r
Using binomial distribution formula :
nCr * p^r * (1 - p)^(n-r)
9C7 * 0.75^7 * (1 - 0.75)^(9 - 7)
9C7 * 0.75^7 * 0.25^2
36 * 0.13348 * 0.0625
= 0.3003387
= 0.3
Hence, probability that exactly 2 don't grow is 0.3
Match each table to its corresponding explicit formula.
Answer:
see attached
Step-by-step explanation:
The answer is in below picture
Answer:
First table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](4)^{n-1}[/tex]
Second table = [tex]f (n)[/tex] = [tex]3[/tex] · [tex](2)^{n - 1}[/tex]
Third table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](6)^{n - 1}[/tex]
I hope this helps you.
justin and his friends dan went to the movies if they each bought popcorn for $4.25 and soda for $2.25 what was their total bill after adding 5% of sales tax
Answer:
Step-by-step explanation:
4.25+2.25=6.50 per person
6.50*2 people= 13.00
13.00*5% tax=0.65 tax
13.00+.65= 13.65
Answer:
Step-by-step explanation:
4.25 x 2 + 2.25 x 2 = 13
Convert 5% into a decimal ( 0.05)
0.05 x 13 = 0.65
0.65 + 13 equals 13.65
Which equation represents a line that passes through the point (6,-3) and is parallel to the graph y=3x+1
Answer:
y = 3x + 6
Step-by-step explanation:
To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:
y = mx + b
y = 3x + b
-3 = 3(-3) + b
-3 = -9 + b
Add 9 to both sides to isolate the b:
-3 + 9 = -9 + 9 + b
6 = b
The y-intercept is 6. Let's put that into our equation:
y = 3x + 6
Now we have our answer :)
What is the value of 1/2x^3+3.4y when x=4 and y=2 PLZ HELP. WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
the answer is= 38.8
Step-by-step explanation:
Answer:
what does the dot mean? so far without the .4y I got 9
Step-by-step explanation:
10 points!!!
Evaluate. 5 + |1 - 4| (3 - 6)^2 /3
A. 6
B. 11
C. 14
D. 24
Answer:
The answer from using a graphing calculator would be B because I had gotten 11.24025147 and that would round up to 11
Step-by-step explanation:
I would suggest that you use your graphing calculator for this or calculator.
Find the unit rate: $7.40 for 5 pounds
Answer:
Step-by-step explanation:
7.40 for 5 pounds
7.40/5= 1.48 a pound
Simplify: 3(4x-5) - (3x+2)
Answer:
Step-by-step explanation:
3(4x-5)-3x+2 work the ()
12x-15-3x+2 combine like terms
9x-13
Find the theoretical probability.
Simplify completely.
Answer:
3/8
Step-by-step explanation:
Favorable outcome is 3
Total outcome is 8
P(1, 2, or 3) = [tex]\frac{3}{8}[/tex]
The theoretical probability is 0.375
We have given that, a diagram of the circle.
We have to find the theoretical probability and simplify the probability.
What is the formula for probability?Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.
The favorable outcome is 3.
The total outcome is 8
P(1, 2, or 3) = 3/8
The theoretical probability is 0.375
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Based on the line of best fit luther can expect the average speed of his pitches to be about _____ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ______ pitches.
Answer:
answer choices?
Step-by-step explanation:
Answer: 51 & 54
Step-by-step explanation:
Based on the line of best fit luther can expect the average speed of his pitches to be about __51___ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ____54__ pitches.
there are 90 dogs and 60 casts at the east dallas animal shelter. of these animals, 9 dogs and 3 cats have parvovirus. what percentage of the animals in the shelter have parvovirus.
Answer:
8%
Step-by-step explanation:
12/250=0.08
0.08=8%
Answer:
8%
Step-by-step explanation:
The formula for the volume V of a cylinder is V=pier2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Answer:
h = V / πr²
Step-by-step explanation:
V = πr²h
Where,
V = volume of a cylinder
π = π
r = radius of the cylinder
h = height of the cylinder
V = πr²h
Solve for h
V = π × r² × h
Divide both sides by π × r²
h = V / π × r²
h = V / πr²
Height of the cylinder = volume of the cylinder / pie × r²
The cost of buying our Stats book online is represented by the 8 sample purchases (in dollars) below: 67.99 78.99 68.99 84.36 80.24 86 101.25 99.29 3. If I bought a book for both me and a friend, what's the chance that I would pay, on average, under $70 per book?
Answer:
2/8
Step-by-step explanation:
Cost of book 8 sample purchases (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29, 101.25
Chance (Probability) of paying under $70 = Favourable outcomes (<70)
Total outcomes
= 2/8
Help me complete this table please
Answer:
x -6 3 15 -12
y 11 5 -3 15
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
[tex]y = -\frac{2}{3}x +7[/tex]
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
What number was added to 8 to get a sum of -4?
Answer:
-12
Step-by-step explanation:
8+(-12)=-4
WHICH GRAPH SHOWS A FUNCTION AND ITS INVERSE.
brainliest plz hurry timed test!!
A slope is also known as the gradient of a line. The correct option is B.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
Since for the two functions to be inverse of each other, the line of equations must bisect each other at 90° so that the product of the slope of the two equations is equal to -1.
For the second graph, the slope of the blue line is,
m₁ = (-1-0)/(0-4) = 0.25
The slope of the green line is,
m₂ = (-4-0)/[0-(-1)] = -4
Now, the product of the slope can be written as,
0.25×-4 = -1
Since the product is -1, the function is inverse of each other.
Hence, the correct option is B.
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