Answer:
The answer is below
Step-by-step explanation:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, 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 harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed
Answer:
To solve the problem, the depth of the water would be equated to the position of the river bottom.
[tex]d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore[/tex]
If f(1) = 1, what is f(3)?
Answer:
would be 3
Step-by-step explanation:
if 1 is 1 ,3 would be 3 ;-;
3/5 is equal to what in decimal form?
Answer:
.60
Step-by-step explanation:
I borrowed $1,000 for 5 years with 7.5%
simple interest per year. What is
the equation to find how much simple
interest is paid?
Answer:
(1000*5)= 5000*.075= 375. then 5000+375=5,375
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening
Which equation can Maya use to find how much of the project she painted in all?
A family is driving at a steady rate on their vacation. The graph shows the relationship between the time and distance from home. What is the constant of proportionality for this graph?
92 miles per hour
460 miles per hour
46 miles per hour
2/92 miles per hour
Answer:
46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot
Step-by-step explanation:
in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant
Answer:
46 miles per hour
Step-by-step explanation:
2x46=92
92÷2=46
92-46=46
Fawn ran a 5-kilometer race in 66 minutes. To the nearest hundredth, what was her speed in meters per second?
A.
1.26
B.
0.08
C.
0.13
D.
75.76
5 km = 5000 meters
66 minutes = 3960 seconds
Meters per second = 5000/3960 = 1.26
The answer is A.1.26
y-4= 3х + 5y
Solve for y
Answer:
y= -3x/4 - 1
Step-by-step explanation:
Answer:
y = - 3/4x - 1
Step-by-step explanation:
Step 1:
y - 4 = 3x + 5y Equation
Step 2:
- 4 = 3x + 4y Subtract y on both sides
Step 3:
- 3x - 4 = 4y Subtract 3x on both sides
Step 4:
- 3/4x - 1 = y Divide
Answer:
y = - 3/4x - 1
Hope This Helps :)
Write a real world example, then solve.
5x + 4 = 2x +14
Answer:
x=10/3
Step-by-step explanation:
Answer: 10/3
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Subtract 2x from both sides.
Step 2: Subtract 4 from both sides.
Step 3: Divide both sides by 3.
If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.
Answer:
S = 2w( 5w + 6h)
Step-by-step explanation:
given:
S = 2(lw + lh + wh)
if l = 5w, then we simply substitute this into the expression above.
S = 2[ lw + lh + wh ]
S = 2[ (5w)w + (5w)h + wh ]
S = 2[ 5w² + 5wh + wh ]
S = 2( 5w² + 6wh) simplify by factoring out w
S = 2w( 5w + 6h)
Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charge of $3 for bowling shoes. Consider the following information. y = 4x + 3y is the total cost of bowling x is the number of games bowled Based on the information, which statement is TRUE?
A. The total cost will increase by $4 for every game bowled.
B. The total cost will increase by $3 for every game bowled.
C. The total cost will increase by $4 for every 3 games bowled.
D. The total cost will increase by $3 for every 4 games bowled.
Answer:
A:The total cost will increase by $4 for every game bowled
Step-by-step explanation:
$4 per game not 3 games or 4 game is per game
The correct statement is:
The total cost will increase by $4 for every game bowled.
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
Given:
Total cost of bowling = 4x + 3y
where x is the number of games.
Now, every time the game played they charged it for $4 per game.
So, when there 2 games then the charges will be $8 for two games.
Hence, the correct statement is The total cost will increase by $4 for every game bowled.
Learn more about algebra here:
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The height y (in feet) of a baseball t seconds after it is hit can be modeled by the function y = −16t2 + 96t + 3. About how long does it take to hit the ground?
Answer:
6.03 seconds
Step-by-step explanation:
Given
[tex]y = -16t\² + 96t + 3[/tex]
To solve this, we simply set the height to 0.
i.e. [tex]y = 0[/tex]
So, we have:
[tex]-16t\² + 96t + 3 = 0[/tex]
Solve using quadratic formula.
[tex]t = \frac{-b+-\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex]
[tex]b = 96[/tex]
[tex]c = 3[/tex]
[tex]t = \frac{-96+-\sqrt{96^2 - 4 * -16 * 3}}{2 * -16}[/tex]
[tex]t = \frac{-96+-\sqrt{9216 +192}}{-32}[/tex]
[tex]t = \frac{-96+-\sqrt{9408}}{-32}[/tex]
[tex]t = \frac{-96+-96.9948452239}{-32}[/tex]
[tex]t = \frac{-96+96.9948452239}{-32}[/tex] or [tex]t = \frac{-96-96.9948452239}{-32}[/tex]
[tex]t = \frac{0.9948452239}{-32}[/tex] or [tex]t = \frac{-192.994845224}{-32}[/tex]
[tex]t = -0.031088913245535[/tex] or [tex]t = 6.0310889132455[/tex]
Since time can't be negative, we have:
[tex]t = 6.0310889132455[/tex]
[tex]t = 6.03\ seconds[/tex] (approximated)
Answer:
last graph
Step-by-step explanation:
If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then which of the following is a true statement?
f(0) > g(0)
f(8) = g(8)
f(2) = g(2)
g(4) < f(4)
Answer:
f(8) = g(8)Step-by-step explanation:
Given
f(x)= 2x – 3 and g(x) = 3/2x + 1
f(0)= 2(0)-3
f(0) = -3
g(0) = 3/2(0)+1
g(0) = 0+1
g(0) = 1
Hence since -3 < 1, this means that f(0)<g(0)
Also;
f(8)= 2(8)-3
f(8) = 16-3
f(8) = 13
g(8) = 3/2(8)+1
g(8) =12+1
g(8) = 13
This shows that g(8) = g(8)
Hence g(8) = g(8) is a true statement
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
okay so I believe the answer is 30
step-by-step explanation:
So the area is length times width and a parallelogram is Bh so all you would have to do is multiply 10 by 30
Lines q and r are parallel What is the value of x?
A.14
B. 22
C. 53
D. 70
Answer:
I'm pretty sure it is C
Step-by-step explanation:
If you look right above x, you will see that the triangle is the same size as the x triangle. So the are gonna be the same degrees. (53 degrees)
Answer:
53°( vertically opposite angles)
57°( alternative angles)
According to the above problem,
[tex]5x + 53 + 57 = 180 \\ 5x + 110 = 180 \\ 5x = 70 \\ x = \frac{70}{5} \\ \boxed{x = 14}[/tex]
(A) 14 is the right answer.Look at pictures help please 11 points
Answer:
negative 70 (-70)
Step-by-step explanation:
below sea level, so below zero, would be -70
Answer:
-70
Step-by-step explanation:
Its below it would be in the negatives
please help me and don't just write a random answer for the points. thank you
Answer:
If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck
Step-by-step explanation:
0.09 divided by 1.053
Answer:
0.085 round to the nearest thousandth
Answer:
[tex]\frac{10}{117}[/tex]
Step-by-step explanation:
Convert the decimal into a fraction
9/100 ÷ 1.053
Convert the decimal into a fraction
9/100 ÷ 1053/1000
To divide by a fraction, multiply by the reciprocal of that fraction
9/100 × 1000/1053
Reduce the number with the greatest common factor 100
9 × 10/1053
Reduce the number with the greatest common factor 9
10/117
Solution
10/117
Alternate form
0.85470
I need help with scientific notations 9.691 x 10^7
Answer: 9.691x107
Simplifies to:
9.691x10000000
=9.691x10000000
Step-by-step explanation: haha hopes this helps!
Mrs.Burkett has hauled 4 1/4 ton of gravel for a quarry jobsite. If she were to haul 6 5/8 tons more, then how much total gravel would she have been hauled at the jobsite?
Answer:
[tex]10\frac{7}{8}[/tex]
Step-by-step explanation:
You simply add the fractions up!
First thing is that [tex]\frac{1}{4} = \frac{2}{8}[/tex] So we can write the fractions as:
[tex]4\frac{2}{8} + 6\frac{5}{8}=4+6\frac{2+5}{8}=10\frac{7}{8}[/tex] tons of gravel was hauled.
Answer:
7 7/8 ton of gravel
Step-by-step explanation:
Its pretty easy actually. All you need to do is add 4 1/4 and 6 5/8.
Let's simplify it and then make a common denominator! (It is 8)
5 x 2 = 10
4 x 2 = 8
Then add:
10 x 53 = 64
8 8 8
Then simplify! And you get
7 7/8
Hope this helped! :)
help me pleaseeeeee somebody !!!
Answer:
Function f is symmetric around point (4, -1). This point is the minimum of the function f
Step-by-step explanation:
The vertex-form of the quadratic function is y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of its vertex pointThe graph of the quadratic function is a parabola symmetric at the vertex point (h, k), which is the lowest or the highest on the graphIf the vertex is the lowest point then, it is minimum, if it is the highest point, then it is maximumLet us solve the question
→ From the given graph
∵ The graph represents a quadratic function f(x)
∵ It has the lowest vertex
∴ The vertex is minimum
∵ The coordinates of the vertex are (4, -1)
∵ The is symmetric around the vertex point
∴ The function is symmetric around point (4, -1)
Function f is symmetric around point (4, -1). This point is the minimum of the function f
input 1, 3, 4, 3
output 1, 9, 16, 27
is it a function
A. yes, each input has only one output
B. yes, each output has only one input
C. yes, each output is the square of the input
D. no, the input 3 has 2 outputs
what would the answer be?
Answer:
no the input 3 has 2 outputs so it would be D
Step-by-step explanation:
its not a funtion becues theres not a padern
a funtion would be like this
input 1, 3, 5, 7, 9
output 3, 6, 9, 12
thats a funtion
What is the standard form of the equation of the line through (6, –3) with a slope of 2/3? a. 2x – 3y = 21 b. 3x – 2y = –21 c. –2x + 3y = 24 d. 3x – 2y = 24
Answer:
i think its b
Step-by-step explanation:
im so sorry if im wrong
look at the picture &’ help.
Step-by-step explanation:
the first option is the answer because the exponent always stands base 10 power a value or (10^n)
4x + 3(2 - x) = 8 – 2x
Answer:
x= 2/3 or in decimal form 0.6(the 6 repeats) hope this helps
Step-by-step explanation:
divide each side by the factors that do not contain the variable in this case the variable is x
r/10+15=60 what is r
Answer:
I think 35 is R
Step-by-step explanation:
10+15=25 and 60-25 is 35.
what is the value of the expression 12 - k
if k = (-3)
Answer:
15
Step-by-step explanation:
12-k
12- (-3)
12+3
=15
Answer:
15
Step-by-step explanation:
Substitute the variable, "k" into "12-k" from the equation "k=(-3).
12-k
12-(-3)
12+3---> two negatives make a positive
15
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
The equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
As it is needed that the line must be perpendicular to the y-axis, therefore, the slope of the line will be 0 and the value of y will be 0. Also, it is given that the line passes through (4, 7). Therefore, the equation in slope-intercept form for the line is,
y = mx + c
7 = 0(4) + c
c = 7
Hence, the equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.
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Joana takes $20 to the arcade and it costs $2 for every game she plays.
a) Write the equation that represents I, how much she has left, after she has
played x number of games.
Answer:
m = 20 - 2x
Step-by-step explanation:
where m represents the amount of money she has left, and x represents the number of video games she has played
can i get a thanks and brainliest please?
yall a Chef Boyardee Beefaroni = $0.88 if I buy 4 of them how much money i need???
Answer:
$3.52
Step-by-step explanation:
$0.88 x 4 = $3.52
(I love Chef Boyardee stuff)
Hope this helped :)
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Answer:
lol thats unclear
Step-by-step explanation:
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