Answer:
The depth to which a BASE jumper jumps in 3 seconds is 144 feet
Step-by-step explanation:
The details of the Cave of Swallows are;
The depth of the cave = 1,220 ft.
The function that represents the duration, t, in seconds it takes to fall d feet is given as follows;
[tex]t = \dfrac{1}{4} \cdot\sqrt{d}[/tex]
The distance a BASE jumper jumps in 3 seconds = Required
By substituting t = 3 in the given function, we get;
[tex]t = 3 = \dfrac{1}{4} \cdot\sqrt{d}[/tex]
Therefore;
4 × 3 = 12 = √d
d = 12² = 144
The distance a BASE jumper jumps in 3 seconds is d = 144 feet.
Help me: Solve: z^4 = -4
All answers should be in the format a+bi where a and b are real numbers
z²-2i=0
Answer:
Solution given:
z⁴=-4
doing square root on both side
[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]
we know i²=-1
substituting i² we get
z²=[tex]\sqrt{2²*i²}[/tex]
z²=2i
z²-2i=0 is a required answer. where
z² and 2 is real number.
Answer:
z = {-1 -i, -1 +i, 1 -i, 1 +i}
Step-by-step explanation:
Using Euler's formula, we can write the equation as ...
z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer
Then the 4th root is ...
z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3
z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3
z = ±1 ±i
z = {1 +i, -1 +i, -1 -i, 1 -i}
_____
Additional comment
Values of n are only needed in the range 0–3, because the answers repeat for values other than those.
Between what two whole numbers is the length of the
diagonal from M to N in the rectangular prism?
—HELP ASAP
I put a pic.
Answer in the pic hope it helps
what is the slope of y-3=-2(x+5)
Answer: slope (m) = -2
Step-by-step explanation:
y-3=-2(x+5)
put it into y=mx+b
use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.
first, parantheses.
-2(x+5)
-2 times x = -2x
-2 times 5 = -10
your new equation is y-3 = -2x-10
now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.
you final equation will be y=-2x-7
in the form y=mx+b, m is your slope.
therefore, -2 is your answer, or slope.
Shapes. I will give brainless answer correctly and tell me the top number and bottom.
Answer:
2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares
can someone answer my question plz
Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is Graph the relationship. The unit rate of change is _____
Answer:
Draw a straight line through these two points (0, 0) and (1, 3).
Step-by-step explanation:
"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.
Plot a dot at (0, 0). Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3). Draw a straight line through these two points (0, 0) and (1, 3).
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
plz help with my math hw
Answer:
cant see
Step-by-step explanation:
Help ???????????? ?????
Answer:
A
Step-by-step explanation:
Answer:
the answer is BStep-by-step explanation:
(-5,-2),(-7,r) if m=5/9 what is r? slope
Answer:
r = -28/9
Step-by-step explanation:
use slope formula of (y₂-y₁) / (x₂-x₁)
5/9 = [r - (-2)] / [-7 - (-5)]
5/9 = (r+2) /-2
cross-multiply to get:
-2(5) = 9(r+2)
-10 = 9r + 18
-28 = 9r
r = -28/9
blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
Answer:
1/4 or .25
Step-by-step explanation:
You cross multiply which would give you 4x=1.
Functions f(x) and g(x) are define below.
f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4
determine where f(x) = g(x) by graphing.
Answer:
slope:1
y-intercept:(0,0
Answer:
x = -1 and x = 8.1
See image
Step-by-step explanation:
If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form
y=sqrt x
And
y=|x|
Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Please help! Even 1 answer would be helpful
In the original equation, x is a variable, hence f(x). If that term in the parenthesis changes, such as to 0 or -2, we will plug in that number in place of the current variable.
f(0) = 4(0)^2 + 3 = 0 + 3 = 3
f(-2) = 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19
Hope this helps! :)
Is
13
6
A rational number?
Answer:
13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational
1/3 + 1/2 + 4/5 jdnjfnawbfaibgfiabfwhbruwbrfywhfywg8eyfhwa8uofhawufhaw
Answer: 49/30 or, 1 19/30
Pleaseeeeee I need help!
THANK YOU
[tex] \: \: \: \: \: \: \: [/tex]
[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]
refer to the attachment for explanationhope it helpsA recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
Answer:
8:10
Step-by-step explanation:
8 parts for brown sugar and 10 parts flour.
In simplest, 4:5 (divide 8 and 10 by 2)
Help due in 2 mins!!!!
What is the value of the expression below???
Answer:
A. 4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Angeline wants to buy eggnog at the store. It costs 4.76 for three cartoons. What is the unit rate for one carton?
Answer:
See image
Step-by-step explanation:
Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.
Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)
Cost/numbers of items = Cost/number of items
We know all but one piece of information:
4.76/3 = x/1
Solve for x to find the price of one carton.
PLEASE HELP ASAP
What is the result if you divide -12x^8y^8 by 3x^4y^2 ?
A. -4x^2y^4
b. 4x^4y^6
c. 4x^2y^4
d. -4x^4y^6
Answer:
A.-4x^2y^4
that the answer
5) find the value of x and y
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved.
Answer:
y=6+8
y=14
Step-by-step explanation:
y=14 is the answer to this question
Two boxes are similar. The longest dimension of the smaller box is 6 inches and its volume is 48 in3. The longest dimension of the larger box is 12 inches. What is the volume of the larger box?
Answer:96
Step-by-step explanation:
Rewrite this equation below into standard form
y=−3−7x
Find the slope of the line that passes through (-10, -52) and (56, -37).
The car travels 60 km from city A to city B passed at speed x. On the way back, the speed was increased by 12 km / h. What is the initial speed if the car has traveled for a total of 10 hours?
Answer:
54 km/h
Step-by-step explanation:
use s=½(u+v)t
600=½(x+x+12)10
600=½(2x+12)10
600=(2x+12)5
600=10x+60
540=10x
x=54 km/h
I think this is how to do it, I'm so sorry if I do it wrong!
Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!
Answer:
y=2(x+5)^2-4.
Step-by-step explanation:
By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!
If I swim 575 yards for three days how many yards I swim
Step-by-step explanation:
If you swim 575 yards in 3 days, you swim 575 yards.
If you swim 575 yards per day for 3 days, then you swim 3 × 575 yd = 1725 yd
What is the equation for the line in slope-intercept form?
Answer:y=4x+4
Step-by-step explanation:
Factorise fully the following:
2x^2-8x
6x+9x^3
12x^3-4x^2
Step-by-step explanation:
1- 2x(x -4)
2- 3x(2-3x)
3- 4x²(3x-1)
