Question 4:
QA: once is the depth of each diver for three minutes from now
QB: in how many minutes will the assistant be 33.3 m below the surface
QC: according to the algebraic model, in how many minutes will the divers be at the same depth
Answers
Answer:
a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.
b. 10 minutes
c. 6 minutes
Step-by-step explanation:
Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.
Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.
a.
J(x)=-13.9-7.5x
J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4
a(x)=-97.3=+6.4x
a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1
b.
a(x)=-97.3=+6.4x
-33.3=-97.3=+6.4x
64=6.4x
x=10
c.
when divers are at the same depth, J(x)=a(x)
J(x)=a(x)
-13.9-7.5x=-97.3=+6.4x
83.4=13.9x
x=6
Related Questions
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.
Answers
Answer:
h(t)=
h(t)=vt-21t+2
Step-by-step explanation:
initial height =2
initial velocity=21ft/s
dh/dt=v
dh=vdt
intergrating both sides
h(t)-h(i)=vt-v(i)t
h(t)-2=vt-21t
h(t)=vt-21t+2
What common base can be used to rewrite each side of the equation
2
3
5
8
Answers
Answer:
2.
Step-by-step explanation.
Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each
new chapter. She spends at least 10 hours per week studying French. Which graph could represent the possible
number of old chapters Vicky reviews, x, and new chapters Vicky learns, y, each week?
Answers
The answer is D
Step-by-step explanation:
The graph B is correct.
What is graph?The pictorial representation of data is called the graph.
Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.
She spends at least 10 hours per week studying French.
We need to find the graph for this relation,
Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,
Therefore,
x + 1.5 y ≥ 10
Put the graph for the same.
Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.
We get the second graph is the correct graph.
Hence the graph B is correct.
Learn more about graphs, click;
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Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?
Answers
Answer:
9 pieces represent 3/ 4 because
3/4 × 12 parts = 9 parts
mark me as brainliest
Answer:
9 pieces
Step-by-step explanation:
12 x 3/4 = 9 or
3/4 converted to a decimal = .75 and 12 x .75 = 9
what does b equal b=____
Answers
9514 1404 393
Answer:
b = 90°
Step-by-step explanation:
Angles a, b, c form a linear angle, so their sum is 180°. This means ...
a + b + c = 180°
b = 180° -(a +c)
Angles 'a' and 'c' are complementary, so their sum is 90°.
b = 180° -90°
b = 90°
__
We can also find the measures of the other angles in this geometry.
a = 90° -c = 90° -56° = 34°
e = c = 56° . . . . . . . . . vertical angles
In summary, ...
a = 34°, b = 90°, c = 56°, d = 124°, e = 56°
Find the area of the polygon.
Answers
Answer:
74.5
Step-by-step explanation:
13.5 * 4.5 = 60.75
5.5 * 2.5 = 13.75
60.75 + 13.75 = 74.5
y
9
30°
х
Find the values of x and y. Write your answers in simplest form.
y =
Answers
Answer:
I just know
Step-by-step explanation:
X= 9 square root of 3
Y = 18
The values of {x} and {y} in the given right angled triangle is -
x = 9√3 and y = 18.
What is Pythagoras theorem?Pythagoras theorem states that the square of the hypotenuse is equivalent to the square of the base and perpendicular. We can write the formula for Pythagoras theorem as -
(hypotenuse)² = (base)² + (perpendicular)²
Given is a right angled triangle as shown in the image.
We can write the tangent function as -
tan(30) = 9/x
x = 9/tan(30)
x = 9√3
Similarly, we can write the sine function as -
sin(30) = 9/y
1/2 = 9/y
y = 18
Therefore, the values of {x} and {y} in the given right angled triangle is -
x = 9√3 and y = 18.
To solve more questions on triangles, visit the link-
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Water freezes at 0 °C. If water at 97 °C is cooled at a rate of 6 °C per minute, will it be frozen in 16 min? Show a mathematical statement and all your work.
Answers
Answer:
No. (work in the step by step explanation)
Step-by-step explanation:
Find out how many degrees it will drop in 16 mins.
1 minute = 6°C
16 mins = 6 x 16 = 96°
97 - 96 = 1°C
Hannah factored the expression 24xy + 15y. Her work is shown below.
1. GCF (24xy, 15y) = 3y
2. 24xy/3 = 8xy, 15y/3 = 5y
3. 3(24xy + 15y)
What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.
Answers
- She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
- She didn’t undistribute the GCF from the original expression.
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answers
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
George drove 240 miles to his grandmother's house. The graph below shows the relationship between the distance he traveled and time.
What does the slope of the graph represent?
A.
The total distance he has traveled.
B.
George's speed in minutes per mile.
C.
George's speed in miles per minute.
D.
The total distance he has left to travel.
plz get it right
Answers
Answer:
There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B
Step-by-step explanation:
someone please help me answer this!!!
Answers
Answer:
4.8 km is the answer.
Step-by-step explanation:
a = ?
b = 5 km
c = 7 km
According to the Pythagorean theorem,
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 49 - 25
a² = 24
a = 4.8989
Round to the nearest tenth,
a = 4.8 km
What is the value of x?
Answers
Answer:
Solution given:
38°=x°+10°[vertically opposite angle]
x°=38°-10°=28°
is your answer
pls help me giving brainless. find all angle measures. Assume each truss is symmetric. All of the roofs have a total top peak angle of 120 degrees
Answers
Answer:
Pls mark me branliest
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
Answer:
Equation: 15x-2=11x+34
x=9
Angle: 133
Step-by-step explanation:
15x-2=11x+34
add 2 to both sides
15x=11x+36
-11x to both sides
4x=36
x=9
Answer:
15x-2=11x+34
exaplan
the two-line is parallel
Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth it to buy the car wash? When is it worth it if the car wash cost $4
Answers
Answer: b and d
Step-by-step explanation:it IS
Help Plis.......................
Answers
Answer:
C
Step-by-step explanation:
Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!
Can someone help me on this ASAP pls I really need to know this
Answers
Answer:
A is bethel
B is below sea level by 22 feet
C is I would describe the elevation very low lowest elevation in North America
D is 0 the elevation is right at sea level.
E is has a lower elevation and is one of the lowest major cities in the entire United States.
Step-by-step explanation:
please help me with this
Answers
Answer:
Sorry I don't really now about this questions
(its difficult for me sorry)
PLEASE I HAVE TO TURN IT IN
What is the slopes of the triangles (I’ll report you if you answer with a link)
Answers
Answer:
The slope of the line is 1.
Step-by-step explanation:
The triangles don’t have a slope. They help you find the slope of the line.
slope = rise over run
2/2=1
3/3=1
Whichever triangle you use, the slope of the line is 1.
Can someone help me pls
Answers
ROUND TO THE NEAREST TENTH: 50.3
Hope this helps! :)
Answer:
50.2 in.
Step-by-step explanation:
To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.
Here, only the radius is displayed.
8 ⋅ 2 = 16.
16 is the diameter.
Now we can multiply the diameter by pi to get the circumference.
16 ⋅ 3.14 = 50.24
50.24 rounded to the nearest tenth is 50.2
Again, the formula for circumference is diameter ⋅ π (pi).
Therefore, 50.2 in. is the circumference of this circle.
Find the surface area of the following figure with the given dimension
Answers
Answer:
The surface area is 54 square feet
Step-by-step explanation:
Given
The attached figure
Required
The surface area
This is calculated as:
[tex]SA = 2(LW + LH + HW)[/tex]
Where
[tex]L = Length\\ W = Width\\ H = Height\\[/tex]
So,
[tex]SA = 2 * (3 * 3 + 3 * 3 + 3 * 3)[/tex]
[tex]SA = 54[/tex]
Two angles in a triangle have measures of 35 and 73
What is the measure of the third angle?
Answers
Hello!
This is a question relating the interior angle sum of a triangle.
The interior angle sum of a triangle will be 180 degrees.
Since we are given two angle measures, we can set up an equation to find the unknown angle measure.
[tex]35+73+x=180[/tex]
[tex]x=180-35-73[/tex]
[tex]x=72[/tex]
The third angle's measure is 72 degrees.
Hope this helps!
Answer:
(A) P E X
Step-by-step explanation:
−28 = 7b
Solve for b
Tell what you did to find b
Answers
Answer:
b= -4
Step-by-step explanation:
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n
Answers
Answer:
2\6 is the ratio
Step-by-step explanation:
brainliest pls
step by step explenation
thank you
pair of ratios. 1 : 2 = ___ : 8
Answers
Answer:
4
Step-by-step explanation:
Answer:
1 : 2 = 4 : 8
Step-by-step explanation:
HELP ME ASAP
(THE ANSWER IS ALSO COULD BE NONE)
Answers
Answer:
B
Step-by-step explanation:
They have to be the same shape and size so the most probability is B
HELP DUE NOW BRAINLEST AND A THANKS
Answers
Answer:
its c bc it starts at 30
Step-by-step explanation:
Find the solutions of :
-3X + 2 2 14
Give 5 solutions
Answers
Answer:
-3(x - 738)
Step-by-step explanation:
-3x+2214
-3x+3 . 738
-3(x-738)
If 40% of a number is 28, find 10% of that number.
Answers
Answer: 7
Step-by-step explanation:
have a good day:)