Total time used= 15+45+30=90 mins
Initial time=7:45
final time will be 1 hr 30 mins more than initial Time
final time= 9:15 am
Write the equation for circle below
Answer:
Step-by-step explanation:
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)
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]
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:)
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
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
Over a season in a women's basketball league Jackson scored 42 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1144 points during the season. How many points did each player score
over the course of the season?
First, you know that Jackson (let call her J) scored 42 more points than L (Leslie). What we don't know is how many points L scored so we can use a variable that will be 'x'.
So the equation will be J=42+x.
We also know that the total points is 1,144.
To find out what x is we first subtract 1,144-42. We then get 1,102.
We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.
551=x so now we can plug that in.
J = 551 + 42
Jackson scored 593 points and Leslie scored 551 points
(You can use bar modeling to do solve this problem. An example of bar modeling is shown below.
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
Use the Parabola tool to graph the quadratic function.
f(x)=3x^2−6x+5
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
graphed below:
[tex]\sf f(x)=3x^2-6x+5[/tex]
vertex: (1, 2)cuts y-axis: (0, 5)Answer:
Given function: [tex]f(x)=3x^2-6x+5[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
(where [tex](h, k)[/tex] is the vertex)
Expand vertex form:
[tex]y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of given function with expanded vertex form
Comparing coefficient of [tex]x^2[/tex]:
[tex]3=a[/tex]
Comparing coefficient of [tex]x[/tex]:
[tex]\ \ \ \ \ -6=-2ah\\\implies-6=-2 \cdot 3h\\\implies -6=-6h\\\implies h=1[/tex]
Comparing constant:
[tex]\ \ \ \ \ \ 5=ah^2+k\\\implies5=3(1)^2+k \\\implies 5=3+k\\\implies k=2[/tex]
Therefore, the vertex is (1, 2)
As the leading coefficient is positive, the parabola will open upwards.
Additional plot points:
[tex]f(0)=3(0)^2-6(0)+5=5[/tex]
[tex]f(2)=3(2)^2-6(2)+5=5[/tex]
(0, 5) and (2, 5)
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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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
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:
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.
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.
please please someone help
i put a picture
Check the picture below.
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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#SPJ4
maximum 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.
What are the solutions to the system of equations graphed below?
The solutions to the system of the equations graphed below are where the graphs intersect:
In this case, the two graphs intersect at (0,6) and (-3, -3)
So the solutions are (0,6) and (-3,-3)
Hope that helps!
The solution to the system of the equations below is: (0,6) and (-3,-3)
The solutions are where the two graphs of the equations intersect
Rewrite in simplest terms: 8(2n + n + 8) − n
Answer:
[tex]23n + 64[/tex]
Step-by-step explanation:
Hope this helps
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
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°
a cone has a volume of 1144.53 cubic inches. the base of the cone has a radius of 9 inches. what is the height of the cone? record your answer to the nearest tenth of an inch. Use 3.14 for pie
Answer: 13.5 in
Step-by-step explanation:
The formula for the volume of a cone is: V = π*r^2*(h/3).
Therefore, when the given numbers are plugged in, it becomes:
1144.53 = (3.14)(9^2)(h/3).
Solving this for h, we get the answer of 13.5 in
6. The figure below is composed of nine congruent
squares. What is the area of the shaded portion?
12 in
Ath 12 in
The Area of the shaded portion = area of 5 shaded squares = 80 in.².
What is the Area of a Square?Area of a square = s², where the edge length is s.
Edge length of each small square = 12/3 = 4 in.
Area of the shaded portion = area of 5 shaded squares = 5(s²)
s = 4 in.
Area of the shaded portion = 5(4²)
Area of the shaded portion = 80 in.²
Therefore, the Area of the shaded portion = area of 5 shaded squares = 80 in.².
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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.
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!!
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.
A lake has a surface area of 11. 0 square miles. What is its surface area in square meters?
Answer:
11mi² = 28489869m²
Step-by-step explanation:
m² = mi² / 0.00000038610
Write 5.2 as a mixed and improper faction
Answer:
Mixed Fraction: [tex]5\frac{1}{5}[/tex]
Improper Fraction: [tex]\frac{26}{5}[/tex]
Step-by-step explanation:
[tex]\mathrm{Rewrite\:as}[/tex]
[tex]=5+0.2[/tex]
[tex]\mathrm{Convert\;0.2\;to\;a\;fraction}:\frac{1}{5}[/tex]
[tex]=5+\frac{1}{5}[/tex]
[tex]=5\frac{1}{5}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]
[tex]5\frac{1}{5}=\frac{5\cdot 5+1}{5}=\frac{26}{5}[/tex]
[tex]=\frac{26}{5}[/tex]
~lenvy~
Hello!
First, let's convert 5.2 into a fraction:
[tex]\bf{5\displaystyle\frac{2}{10} }[/tex]
Simplify:
[tex]\bold{5\displaystyle\frac{1}{5}}[/tex]
We turned this number into a mixed number.
That's why it's mixed - we have a whole number and a fraction.
Now, convert the mixed number into an improper fraction.
Step 1: Multiply the whole number times the denominator.
5×5=25
Step 2: Add the numerator.
25+1=26
The denominator stays the same.
Therefore, the answer is
[tex]\bold{\displaystyle\frac{26}{5}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning :-)
Keisha received a $90 gift card for a coffee store. She used it in buying some coffee that costs $8.47 per pound. After buying the coffee, she had $47.65 left on her card. How many pounds of coffee did she buy?
Subtract to find how much was spent on coffee:
90 - 47.65 = 42.35
Divide what was spent by the price per pound:
42.35 / 8.47 = 5
They bought 5 pounds of coffee
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.