Answer:
The Scuba diver is 21 feet below sea level
Step-by-step explanation:
I took the test and it was this
The position of the scuba diver relative to sea level is 17 feet below surface.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
Let the position of the fish is at x feet from surface of the ocean
Therefore, the position of scuba diver = x-4
Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)
According to question,
2(x-4) = -34
2x-8 = -34
2x = -26
x = -13
Therefore, the position of the diver = -13-4 = -17
Hence, the position of the scuba diver relative to sea level is 17 feet below surface.
For more references on equations, click;
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Rob is making a square pen for his dog to play in. Each
a
side of the pen is 30 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and sis the length of one side.
What is the area of the pen?
A. 900 square feet
B. 60 square feet / guys help
C. 30 square feet
D. 120 square feet
Answer:
A.900 square feet
Step-by-step explanation:
s×s=A
30×30=900
Which is the best estimate?
how can you solve this (3/4 - 1/5)
Answer:
11/20
Step-by-step explanation:
What is the inequality shown?
-2 -1 0 1 2 3 4 5 6 7 8
Answer:
- 2 ≤ x < 8
Step-by-step explanation:
The closed circle at x = - 2 means that x can equal - 2
The open circle at x = 8 means that x cannot equal 8
All value in between are possible values for x, then the inequality is
- 2 ≤ x < 8
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
Solve the equation x=√(2x-4)+2. Show, explain, and check your work.
Answer:
x = 2, 4
Step-by-step explanation:
Hi there!
x=√(2x-4)+2
Move 2 to the left:
x-2 = √(2x-4)
Square both sides:
x²-4x+4 = 2x-4
Combine like terms:
x²-6x+8 = 0
Factor:
(x-2)(x-4) = 0
Therefore, x = 2, 4.
I hope this helps!
complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
ΔDEFStep-by-step explanation:
Pay attention to order of vertices when comparing the congruent parts or figures.
ΔCBA ≅ ΔDEFC and D as well as B and E are corresponding vertices according to angle marks and side marks.
In ∆ABC and ∆DEF
AB=EFBC=EDAC=FDSo
[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]
By SSS congruence
The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x= 12 cm
Step-by-step explanation:
Answer:
[tex]x=(4\sqrt{3})/3[/tex]
Step-by-step explanation:
If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]
please help!!!!!!!!!!
Answer:
120 / (x+y) = 8
Step-by-step explanation:
120 / (x+y)
= 120 / (3+12)
= 120/15
= 8
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answer:
its F for the inequality to be true
Which is equivalent to the expression below 6a-7+2a-4
A magnifying glass shows the image of an object that is 10 times the objects actual size. Determine the length of the image of the object if the actual length of the object is 8 millimeters
Can someone please answer for d and b
Answer:
d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
first triangle is a 30-60-90
so, sides x-x√2-2x
x=2
therefore d=2√2
second triangle is 45-45-60
sides, 1-1-√2
which means b√2=6
b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator
b=6√2/4 , simplify
b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
Two lines are
perpendicular if the
of their
А
and
Lline are also perpendicular.
If a line is perpendicular to one of the
two given parallel lines then it is also perpendicular to the other line.
As we know that by the theorem of perpendicular transversal theorem that in the plane, if a transverse is perpendicular to one or two parallel lines, then it is perpendicular to the third line. ... Since, they do not touch or interact with each other they are said to be parallel to each other.
Thnx for marking me as brainlistwho knows what 59.95 multiplied by 44.95. And 13.95 multiplied by 15.95.
Answer:
→ 59.95 multiplied by 44.95 is 2694.7525
→ 13.95 multiplied by 15.95 is 222.5025
(I am not sure if this is correct but I hope you get this correct, but I wish you good luck! with your homework.)
suppose a traveler is selected from this sample at random. Let event A = home sharing and event B = fly. Are events A and B independent? No, P(A) = P(A|B). No, P(A) ≠ P(B|A). Yes, P(A) = P(A|B). Yes, P(A) ≠ P(B|A).
Answer:
Yes, P(A) = P(A|B)
Step-by-step explanation:
The context of the question is incomplete but I've assumed logically what it might be;
Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;
Therefore, they are independent;
Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;
This can be represented mathematically as: P(A) = P(A|B);
The corollary of this is P(B) = P(B|A);
A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;
If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails
the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon
Answer:
About 30.06 pounds
Step-by-step explanation:
In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).
the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
Answer:
[tex]250cm^2[/tex]
Step-by-step explanation:
length = 5 + 2w
width = w
P = Sum of all sides
P = 2 * (5 + 2w) + 2w
P = 10 + 4w + 2w
P = 6w + 10
Given Perimeter = 70cm
We substitute
6w + 10 = 70
6w = 70 - 10
6w = 60
w = 60/6
w = 10cm
Since length is 5 + 2w
length = 5 + (2 * 10)
length = 25cm
Area = lw
Area = 25 * 10
Area = [tex]250cm^2[/tex]
Answer:
let
b=x then'
l= 2x+5
Now
p=70
2(l+b)=70
2(x+2x+5)=70
6x+10=70
6x=60
x=6
b=x=10
l=2x+5=25
area of rectangle = l*b
25*10
=250 answer
Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?
Answer:
135 divided by 4
Step-by-step explanation:
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
part A
y = 2x -1
the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive
the y-int is -1
y = 4x -5
the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive
the y-int is -5
part B
the solution to this is (2,3)
Step-by-step explanation:
Answer:
Part A:
y = 2x - 1
Slope = 2/1
Y intercept = -1
y = 4x -5
Slope = 4/1
Y intercept = -5
Part B:
x = 2 y = 3
Step-by-step explanation:
Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.
Equation of a line: y = mx + c
where mx is the slope and c is the y intercept
y = 2x - 1
Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right
y intercept = -1
y = 4x - 5
Slope = 4/1
y intercept = -5
Part B:
Solving for x:
Since we know that y = 2x - 1 but also 4x - 5, then:
2x - 1 = 4x - 5
2x + 4 = 4x
4 = 2x
x = 2
Solving for y:
Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:
y = 2 x 2 - 1
y = 4 - 1
y = 3
expand the expression, image attached giving brainliest please help
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
What happens to the decimal point when we multiply a whole number by 100?
Answer:
Step-by-step explanation:
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
Evaluate each expression when n = 4 and b = 7
1. 2n – 3
2. 4b + 3
3. 3n + 8b – 13
Answer:
1. 5 2. 31 3. 55
Step-by-step explanation:
1. 2(4)-3=8-3=5
2. 4(7)+3=28+3=31
3. 3(4)+8(7)-13=12+56-13=56-1=55
Answer:
1 is 5, 2 is 31, and 3 is 55
Step-by-step explanation:
you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.
Help me please!! This is timed and I’m stuck
Answer:
B 13/2
Step-by-step explanation:
2x² + 7x - 15 = 0
First we want to find the two solutions
We can do this by using the quadratic formula
Quadratic formula:
[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]
Where the values of a,b and c are derived from the equation.
The equation is put in ax² + bx + c = 0 form
2x² + 7x - 15 = 0
so a = 2, b = 7 and c = - 15
We now plug these values into the quadratic formula
(-(7) + or - √7² - 4(2)(-15) ) / 2(2)
first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)
remove parenthesis on 7
(-7 + √7² - 4(2)(-15) ) /2(2)
Apply exponents 7²
(-7 + √49 - 4(2)(-15) ) /2(2)
Multiply -4,2 and -15
(-7 + √49 + 120 ) / 2(2)
add 49 and 120
(-7 + √ 169 ) / 2(2)
Take square root of 169
(-7 + 13 ) / 2(2)
add 13 and -7
6/2(2)
multiply 2 and 2
= 6/4
The first solution is 6/4 or 1.5
Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)
For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.
So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)
So second solution: ( -7 - 13 ) / 2(2)
subtract 13 from -7
-20/2(2)
multiply 2 and 2
-20/4
divide
The second solution is -5
Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s
The two solutions are 6/4 and -5.
6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s
So if r = 6/4 and s = -5
Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2
So the answer is B. 13/2
How to improve your class multiplication skills.
Answer:
PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!
I NEED HELP THIS HW IS DUE TODAY
There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the class
Answer:
Step-by-step explanation:
If the males make up 60% of the class then
The females make up 100 - 60 = 40% of the class.
Females = 40% * x where x = the class size.
380 = 40/100 * x
380*100 =38000
38000 = 40 x
38000/40 = x
x =950
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's B.
Step-by-step explanation: