Answer:
Step-by-step explanation:
Select all of the steps that are possible when solving for x.
5 1/2x + 2/3x = 37
x = 37
x = 6
37x = 6
37/6x = 37
1 1/2x + 2/3x =37
Answer:
37/6x = 6 and 5 1/2x + 2/3x = 6
Step-by-step explanation:
Pls help me do this :) urgent message!
Answer:
y-intersept is where the line crosses the y axis
on this one it is
(0,-3)
Hope This Helps!!!
Answer:
(0,-3)
Step-by-step explanation:
The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).
Hope this helps!!
A functionf(θ) is periodic if after some periodt, it repeats. In other wordsf(θ t) =f(θ) for allθ. Lettingθbe a real number, isf(θ) =eiθperiodic? (2 points) if so, what is its period? (2points)
The period of the given function is T = 2π
What is the period of the function?The period T of a function f(x) is such that:
f(x + T) = f(x).
In this case, our function is:
f(θ) = e^{iθ}
Remember that this can be written as:
f(θ) = cos(θ) + i*sin(θ)
So yes, this is in did a periodic function.
Then the period of the function f(θ) is the same as the period of the cosine and sine functions, which we know is T = 2π.
If you want to learn more about periodic functions, you can read:
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The period of the considered function f(θ) = e^{iθ} is found to be P = 2π (assuming 'i' refers to 'iota' and 'e' refers to the base of the natural logarithm)
What is euler's formula?For any real value θ, we have:
[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]
where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.
What are periodic functions?Functions which repeats their values after a fixed interval, are called periodic function.
For a function [tex]y = f(x)[/tex], it is called periodic with period 'T' if we have:
[tex]y = f(x) = f(x + T) \: \forall x \in D(f)[/tex]
where D(F) is the domain of the function f.
Suppose that, the period of the function [tex]f(\theta) = e^{i \theta}[/tex] be P, then we get:
[tex]f(\theta + P) = f(\theta)\\\\e^{i(\theta)} = e^{i(\theta + P)}\\\\\cos(\theta) + i\sin(\theta) = \cos(\theta + P) + i\sin(\theta + P)[/tex]
When two complex numbers are equal, then their real parts are equal and their imaginary parts are equal.
That means,
[tex]\cos(\theta) + i\sin(\theta) = \cos(\theta + P) + i\sin(\theta + P)[/tex] implies that:
[tex]\cos(\theta) = \cos(\theta + P)\\\sin(\theta) = \sin(\theta + P)[/tex]
Also, we know that the period of sine and cosine function is [tex]2\pi[/tex]
Thus, we get:
[tex]P = 2\pi[/tex]
Thus, the period of the function [tex]f(\theta) = e^{i \theta}[/tex] is P = 2π
Learn more about periodic functions here:
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Jonas is using a coordinate plane to plan an archaeological dig. He outlines a rectangle with the vertices at (5, 2), (5, 9), (10, 9), and (10, 2). Then he outlines a second rectangle by reflecting the first area across the x-axis and then across the y-axis. Which is a vertex of the second outlined rectangle after completing both reflections?
Reflecting the archaeological dig implies that the dig is flipped
The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)
How to determine the vertices of the rectangleThe coordinates of the rectangle are given as:
(5,2) , (5,9) , (10,9) , (10,2)
When reflected across the x and the y axes, the transformation rule is:
[tex](x,y) \to (-x,-y)[/tex]
So, the new coordinates are:
(-5,-2),(-5,-9),(-10,-9),(-10,-2)
This means that:
The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)
Read more about reflection at:
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You are taking a trip at the same time as another
family. Your family traveled 1,900 miles in 2 days,
their family traveled 2,700 miles in 3 days. Who is
traveling faster?
Answer:
1,900 miles in 3 days is going fast than 2,700 miles in 3 days
Step-by-step explanation:
1,900 divided by 2 is = 950
2,700 miles divided in 3 days is = 900
Answer:
your family traveled faster
Step-by-step explanation:
your family traveled 1,9000 miles in 2 days and to find speed you need to divide 1,900 by 2 (answer is 950)
do the same for 2,700 and 3 (900 is answer)
compare the two and you have your answer!
Hope this helps and that you have a wonderful evening/day!
convert 4 hours into minutes
helpp ASAP
Answer: 240 minutes
Step-by-step
60 times 4 hour = 240 minutes
b= c= Please help I need to do this asap
how many cups can fit into 3 gallons equally
Answer: 48
Step-by-step explanation:
3x16=48
3 gallons=48 cups
There are 48 cups in 3 gallons.
To start your conversion, you need to know how many cups are in one gallon.
There are 2 cups in 1 pint, and 2 pints in 1 cup.
what is the equation of the line that passes through each pair of points for (-2,3) (3,-2)
Answer:
y = -x + 1
example:
(-2, 3)
y = -(-2) + 1
y = 2 + 1
y = 3
Answer:
y = -x + 1
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) = (-2-3)/(3-(-2)) = -5/5 = -1
y-int: y=mx+b --> plug in a point --> 3 = (-1)(-2)+b --> b=1
y = -x + 1
4x : 3 = 6 : 5
Calculate the value of x.
Answer:
x = 9/10
Step-by-step explanation:
This problem features a ratio: 4x/3 = 6/5
By cross multiplying you get that 4x*5 = 3*6 or 20x = 18. By dividing both sides by 20, you get that x = 18/20, and when simplified, 9/10.
someone please help me find the value of x
Answer:
x = 102.5°
Step-by-step explanation:
these two angles are adjacent and supplementary which means their sum must be equal to 180 degrees
create this equation to find 'x':
x + x-25 = 180
combine 'like' terms:
2x - 25 = 180
add 25 to each side:
2x = 205
x = 205/2 or 102.5°
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
O 8 m
O 167 m
O 647 m
O 2567 m
Answer:
approximately V = 201 m^{3}
Step-by-step explanation:
Volume of a right circular is π[tex]r^{2} h[/tex]
R = radius of 4m
H = height of 4m
pi = approximatly 3.14
[tex]V = 3.14*4^{2}*4[/tex]
[tex]V = 3.14*16*4[/tex]
[tex]V = 3.14*64[/tex]
approximately [tex]V = 201 m^{3}[/tex]
Hope this helps :)
(If this was not the corrrect answer please give me more information)
The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBracket upper H subscript 3 upper O superscript plus EndBracket equals 10 superscript negative p H. 1. 05 times 10 to the negative 3 moles per liter. 4. 79 times 10 to the negative 3 moles per liter. 2. 09 times 10 squared moles per liter. 9. 55 times 10 squared moles per liter.
The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.
What is pH value?The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.
The pH value can be calculated with the following formula.
[tex]\rm pH=log[H^{+}][/tex]
Here, [H⁺] is the molar hydrogen ion concentration.
The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,
[tex]\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M[/tex]
Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.
Learn more about the pH value here;
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Answer:
B ✔️
Step-by-step explanation:
A circular rug has a circular table in the middle. The diameter of the rug is 12 meters and the diameter of the table is 4 meters. What area of rug is left after placing the table over the midddle of the rug? Use 3.14
Answer:
100.53m² area of carpet is left after putting the table in place.
1) on a test suzy has a diagram of a regular prism and pyramid. both have a height of 4 inches, both have square bases with the side lengths of 6 inches, and the pyramid has a slant height of 5 inches. which shape has the larger surface area? a) they have the same surface area. b) the prism does by 72 square inches. c) the pyramid does by 72 square inches. d) there is not enough information to determine the surface area.
The Prism has a larger surface area than the pyramid.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
Surface area of Prism = 2 * base area + 4(base length)(height)
Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²
Surface area of pyramid = (base area) + 2(base length)(slant height)
Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²
The Prism has a larger surface area than the pyramid.
Find out more on area at: https://brainly.com/question/25292087
The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's diameter?
Answer:
6 cm
Step-by-step explanation:
A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.
The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)
The diameter is twice the radius:
d = 2 × (3 cm) = 6 cm
The dial's diameter is 6 cm.
An account with $300 gains 0. 5% annual interest compounded continuously. How
many years would it take to reach $600? Round to the nearest whole year and type
your answer into the box.
Formula: A=
Pert
Answer:
139
Step-by-step explanation:
A = Pe^rt
A = 600$
P = 300$
R = 0.005
T = ?
600 = 300e^(0.005)(t)
t = 138.63
How do I solve this problem? Also, shouldn't the answer be square root 61 because you do 5^2+6^2=c^2?
Hey there!
Formula:
a = √p(diagonal)^2 + q(diagonal)^2 / 2
a = √p + q / 2
SOLVING FOR CURRENT EQUATION
a = √10^2 + 12^2 / 2
a = √10 * 10 + 12 * 12 / 2
a = √100 + 144 / 2
a = √244 / 2
a = √61
a ≈ 7.81
Thus, your answer is: √61
Or as you put….
5^2 + 6^2 = c^2
5 * 5 + 6 * 6 = c^2
25 + 36 = c^2
√61 or -√61 = c^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
15x + 50y = _____ (3x + 10y)
Answer:
15x + 50y = 5 (3x + 10y)
5 is a common factor
15/3x = 3x
50/5y = 10y
the answer is 5
[tex] \huge \mathbb \orange{HEY \: THERE}[/tex]
[tex] \mathfrak \red{AnSwEr~}[/tex]
5 is the common factor.[tex] \mathfrak \red{Explaination}[/tex]
[tex] \mathsf \pink{15x + 50y = 5(3x + 10y)}[/tex]
[tex] \mathsf \pink{5 \: is \: multiplied \: with \: both \: 3x \: and \: 10y}[/tex]
[tex] \huge \mathbb \orange{HOPE \: IT \: HELPS}[/tex]
answer question pls I will give brainliest
Answer:
6 x 4 x 4
Step-by-step explanation:
Name the type of logical fallacy being used.
29. if you don’t want to drive from boston to new york, then you will have to take the train.
The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.
What is fallacy?It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.
In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.
Learn more about fallacy on:
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will give brainliest!
fill in the table using this function rule. y= 3 + 2x
x- 4, 5, 9, 10
y- blank
Replace x in the equation with the given x values and solve for y:
3 + 2(4) = 11
3 + 2(5) = 13
3 + 2(9) = 21
3 + 2(10) = 23
the y values are: 11, 13, 21, 23
#4
y=3+2(4)=3+8=11#5
y=3+2(5)=3+10=13#9
y=3+2(9)=3+18=21#10
y=3+2(10)=3+20=23maximum numbers of circles can be drawn through three noncollinear point is
Answer:
find the product of (4m-n)and(3m-2n)
Answer:
1
Step-by-step explanation:
the number of circles which can pass through three given non-collinear points is exactly one.
the reason is that the center of such a circle must be on the (perpendicular) bisectors of the lines between each pair of these points.
these bisectors intersect at one unique point which is the center of the circle and the distance of any point from the center is the radius. So given three non collinear points fixes the center and the radius thereby giving us one unique circle.
the same way we find the circumscribing circle of a triangle, which is exactly the same situation.
576 = 96 × 6
Which statement does the equation represent?
A. 96 is 6 more than 576
B. 576 is 96 more than 6
C. 96 is 6 times as many as 576
D. 576 is 96 times as many as 6.
Answer:
D
Step-by-step explanation
A.96=6+576
B.576=96+6
C. 96=6×576
D. 576=96×6
I don’t really understand this please help me.
Answer:
Top question) 12
Bottom question) 16
Step-by-step explanation:
top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.
bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box
Hope this helps! pls mark brainliest
Find the height of a tree of angle of elevation of its top changes from 25 degree to 50 degree as the observer advance 15m towards its base
please help me fast
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
Write the equation for circle below
Answer:
Step-by-step explanation:
Use the equation, 8^2x = 32^x+3 , to complete the following problems.
(a) Rewrite the equation using the same base.
(b) Solve for x. Write your answer in the simplest form.
Side note: For your answers, I ask that you show your work so that I can review it and hopefully understand how to do this myself in the future!
Answer:
Question (a)
Given equation:
[tex]8^{2x} = 32^{x+3}[/tex]
8 can be written as [tex]2^3[/tex]
32 can be written as [tex]2^5[/tex]
Therefore, we can rewrite the equation with base 2:
[tex]\implies (2^3)^{2x} = (2^5)^{x+3}[/tex]
------------------------------------------------------------------------------
Question (b)
To solve:
[tex](2^3)^{2x} = (2^5)^{x+3}[/tex]
Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :
[tex]\implies 2^{3 \cdot 2x} = 2^{5(x+3)}[/tex]
[tex]\implies 2^{6x} = 2^{5x+15}[/tex]
[tex]\textsf{If }a^{f(x)}=a^{g(x)}, \textsf{ then } f(x)=g(x)[/tex] :
[tex]\implies 6x = 5x+15[/tex]
Subtract [tex]5x[/tex] from both sides:
[tex]\implies x = 15[/tex]
A floor plan of the living room is shown below. If the carpet he chooses costs $27.50 per yard square, how much will the new carpet cost
Answer:
there is no picture,you need to add a pic
draw a triangle ABC with vertices A(4,2), B(3,5)and C(6,5) on a graph paper. Reflect it on X=Y and show the image on the same graph paper.
Answer:
not sure if its correct but let me know if its incorrect
thank you !