Answer:
\(\frac{3}{5} +\frac{1}{5} =\frac{4}{5}\)
Step-by-step explanation:
The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be \(\frac{4}{5}\).
Each tire on a toy car has a diameter of 5.6 cm. the tires spun completely around 15 times when the car was pushed in a straight line.about how far was the car pushed
Answer:
I believe the answer is 84 centimeters.
Step-by-step explanation:
If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.
A shirt cost the store $50. The mark up on the shirt was 10%. What was the selling price of the shirt?
Step-by-step explanation:
10 ÷ 100 =0.1 × 50 = 5
50 + 5 = 55
the selling price of the shirt is $ 55
Answer:
Step-by-step explanation:
10%*50 then simplify do 0.1*50
50 + 5 = 55
the selling price of the shirt is $ 55
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
You insure your home for $125,000. You want to be safe and add coverage on the contents, so you take 55% on the contents. How much coverage will you have on the contents of your home?
The amount of coverage that you will have on the contents of your home would be = $68,750
How to calculate the amount of coverage for contents of your home?The total amount of money that was insured for the house = $125,000
The percentage of insurance that was left for the contents of the house = 55% of insurance.
That is;
= 55/100 × $125,000
= 6875000/100
= $68,750.
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A customer spends $300 at Kal's on a shopping trip.
The customer hands the cashier a 25% off coupon AND
a $20 off coupon.
The cashier scans the $20 coupon first, then scans the
25% off coupon.
What is the customer's final price....not including tax?
$
Answer:
210
Step-by-step explanation:
280 times .25 is 70,. 280 -minus 70 is 210
Maria doesn’t address a notice that she received earlier regarding some incomplete information in her patent application. What notice does the patent office send her regarding this? A. Notice of Allowance B. Non Final Office Action C. Final Office Action D. Examiner's Amendment
Answer:
D. Examiner's Amendment
Step-by-step explanation:
Maria most likely received an Examiner's Amendment letter from the Patent Office regarding her patent. This letter is sent when there are informalities, errors, or missing information from the submitted patent. It is sent to the individual that submitted the patent so that they may correct these and resubmit so that the patent office can continue verifying the patent with all the necessary information to continue the process. Since Maria's patent had incomplete information this was most likely what she received.
Answer:
the correct answer is C. Final Office Action
Step-by-step explanation:
i just took the test and i got it right, edmentum
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.
To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:
s = v0t - 16t^2
Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.
Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:
48 = 96t - 16t^2
Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.
Rearranging the equation:
16t^2 - 96t + 48 = 0
Dividing the equation by 16 to simplify:
t^2 - 6*t + 3 = 0
We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.
Using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
t = (6 ± √((-6)^2 - 413)) / (2*1)
t = (6 ± √(36 - 12)) / 2
t = (6 ± √24) / 2
Simplifying the square root:
t = (6 ± 2√6) / 2
t = 3 ± √6
Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.
In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.
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Note the complete question is
The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
Which equation can be used to describe the pattern in the table
Answer:
I feel like its C.
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
because all the a values are 5 more than b
0.455 round to the nearest tenth
0.5
this part is a filler for the 20 character filter))
Answer:
0.5
Step-by-step explanation:
So tenth is at the 1st number from the "." so 0.1 So where the 1 is at. We then look at the thousandth spot and see if the number is over 5 if it is make it a 0 and make the next number to the left a +1, in this case 0.460, then make sure the hundredth place is over 5, as 6 is greater than 5 make the 6 a 0 and make the 4 a 5.
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
if m<xyz = 58 and m<wxz = 51 find m<wzx
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical coordinates over the solid shown. f(x, y, z) dv e
Answer: 19, 15
f=5 x,y,z and the coordinates are equal to 3 so the answer is 19, 15 lol
The triple integral of the function is \(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)
What are cylindrical coordinates?Cylindrical coordinates can be defined as an extension of polar coordinates to space. The variables r and θ is maintained and one of the three rectangular coordinates is added, in the case of the exercise the variable z is added.
The solid is the portion of the cylinder of radius 3 and height 2 that is in the first octant.
We can use the cylindrical coordinates to pose the triple integral.
\(I_E = \int\limits\int\limits\int\limits{(f(x, y, z))} \ dV\) {triple integral in rectangular coordinates}
\(D_{cc} = [(r, \theta, z) | 0 \leq r\leq 3, 0\leq \theta\leq \pi /2,0\leq z\leq 2]\) {region in cylindrical coordinates}
\(I_E = \int\limits\int\limits\int\limits{(f(r, \theta, z))} \ r dz d\theta dr\) {triple integral in cylindrical coordinates}
\(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)
Hence, the triple integral of the function is \(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)
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A salesperson at a jewelry store earns 4% commission each week. Last week, Heidi sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
$27.2
Step-by-step explanation:
680x0.04=. 27.2
She made $27.2 last week
consider the following line integral. c xy dx x2y3 dy, c is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)
The required value of the given integral \(\int\limits_C xydx+x^2y^3dy\) and vertices (0, 0), (1, 0), and (1, 4) by both direct and Green's theorem method is 20.
The integral of a function over a line or curve is known as a line integral. First, we have to determine the limit of the integral using the given vertices.
\(\mathrm{C_1:(0,0)\;to\;(1,0): r_1(t)=ti\;\;\ 0 \geq t\geq1}\\\mathrm{C_2: (1,0)\;to\;(1,4): r_2 (t) = i+4tj\;\;\ 0 \geq t\geq1}\\\mathrm{C_3: (1,4)\;to\;(0,0):r_3 (t) = (1-t)i+(4-4t)j\;\;\; 0\geq t\geq1}\)
Then, the required direct line integral is,
\(\begin{aligned}\int\limits_C xydx+x^2y^3dy&=\int\limits^1_0 (t)(0)(1)+t^2(0)^3(0)dt\\&+\int\limits^1_0(1)(4t)(0)+1^2(4t)^3(4)dt\\&+\int\limits^1_0 (1-t)(4-4t)(-1) +(1-t)^2 (4 - 4 t )^3 (-4) dt \\&=\int\limits^1_0 256t^3dt+\int\limits^1_0 -4(1-t)^2-256(1-t)^5dt\\&=64-\frac{4}{3}-\frac{128}{3}\\&=20\end{aligned}\)
b) A simple link between the macroscopic circulation around curve C and the total amount of the microscopic circulation that is inside C is known as Green's theorem. A line integral can occasionally be converted into a double integral using Green's theorem, and the reverse is also sometimes true. By Green's theorem, \(\oint Mdx+Ndy= \iint_R \frac{\partial N}{\partial x}-\frac{\partial M}{\partial y} dA\)
Then, the required line integral using Green's theorem,
\(\begin{aligned}\oint xydx+x^2y^3dy&=\int\limits^1_0 \int\limits^{4x}_0(2xy^3-x) dydx\\&=\int\limits^1_0 \left[\frac{xy^4}{2}-xy \right]^{4x}_0dx\\&=\int\limits^1_0 (128x^5-4x^2)dx\\&=\left[\frac{64x^6}{3}-\frac{4x^3}{3}\right]^1_0\\&=20\end{aligned}\)
The required answer obtained by both direct and Green's theorem method is 20.
The complete question -
Evaluate the line integral by the two following methods.
\(\int\limits_C xydx+x^2y^3dy\) C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).
(a) directly
(b) using Green's Theorem
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2,239 ÷ 7
Division compatible numbers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
1
Which expression has a value of 36?
Answer: (1/6)^2
Step-by-step explanation:
Answer:
The third answer is correct
Step-by-step explanation:
Use the properties of degrees:
1)
\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)
\( \frac{1}{6561} ≠ \frac{1}{36} \)
.
2)
\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)
\( \frac{1}{729} ≠ \frac{1}{36} \)
.
3)
\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)
\( \frac{1}{36} = \frac{1}{36} \)
Please provide with an explanation to get brainiest
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
The dimensions of a rectangular building are given as a length of 12x + 24 feet and a width of 20x - 10 feet.
Write the expression that represents the area of the building, in terms of x.
Write the expression that represents the perimeter of the building, in terms of x.
If the perimeter is going to be 220 feet, what are the dimensions of the building.
Answer:
120(2x² + 3x - 2) or 240x² + 360x - 240
Perimeter = 64x + 28
x = 3
Length = 60ft
Width = 50ft
Step-by-step explanation:
Area = (12x + 24)(20x - 10)
= 12(x + 2).10(2x - 1)
= 120(2x² + 3x - 2)
= 240x² + 360x - 240
Perimeter = 2(12x + 24) + 2(20x - 10)
= 24x + 48 + 40x - 20
= 64x + 28
64x + 28 = 220
64x = 192
x = 3
Length = 12(3) + 24
= 36 + 24
= 60
Width = 20(3) - 10
= 60 - 10
= 50
Answer:
area: (12x +24)(20x -10)perimeter: 64x +2860 ft long by 50 ft wideStep-by-step explanation:
The area of the building is given by the formula ...
A = LW
A = (12x +24)(20x -10) . . . . . substitute given length and width
__
The perimeter is twice the sum of length and width:
P = 2(L +W)
P = 2((12x +24) +(20x -10)) = 2(32x +14)
P = 64x +28
__
If the perimeter is 220 feet, we can use that fact to find the value of x.
220 = 64x +28
192 = 64x . . . . . . . subtract 28
3 = x . . . . . . . . . . . divide by 64
Then the dimensions of the building are ...
length = 12x +24 = 12(3) +24 = 60 . . . feet
width = 20x -10 = 20(3) -10 = 50 . . . feet
The length and width of the building are 60 feet and 50 feet, respectively.
1. Find extrema and intervals of increasing and decreasing the function
\(y = \frac{ {e }^ { - (x + 2)} }{x + 2} \)
2. Find inflection points and intervals of concavity and convexity of the function:
\(y = \frac{2x - 1}{(x - 1) ^{2} } \)
The function y = (e⁻⁽ˣ⁺²⁾) / x + 2 increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but concave downwards along (-∞, 1) ∪ (1 ,∞)
Extrema and Intervals of a FunctionAn extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.
The function given;
y = (e⁻⁽ˣ⁺²⁾) / x + 2
The extrema and intervals of increase or decrease of this function are
(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)
2. The inflection points and intervals of concavity and convexity of the function
y = 2x - 1 / (x - 1)² are
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Halle planted mint and basil seeds in her herb garden. She measured the height of each herb plant at the end of each week for six weeks. The results are shown in the line graph below.
What is the difference to the nearest tenth in the mean growth per week for both herbs during the six weeks shown in the graph?
A. 0.7cm/week
B. 0.6cm/week
C. 3.7cm/week
The difference in mean growth per week is 3.7cm/week
From the graph given :
Growth per week for Basil = 2, 6, 9, 10, 14, 16
Growth per week for Mint = 1, 2, 4, 7, 9, 12
Mean growth per week = (2+6+9+10+14+16) / 6 = 9.5 cm/week
Mean growth per week (Mint) = (1+2+4+7+9+12)/6 = 5.83 cm/week
The difference cannbe obtained by subtracting the mean Values thus ;
Difference in average growth = 9.5 - 5.83 = 3.67 cm/week
Therefore, the difference in mean growth per week is 3.7cm/week
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Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and the point (-2,√3) is
on the terminal side of 0. Then find the values of the six trigonometric functions for the angle. Rationalize denominators
if applicable.
The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:
sin(0) = √3/2
cos(0) = -1/2
tan(0) = -√3
csc(0) = 2/√3
sec(0) = -2
cot(0) = -1/√3
To sketch an angle in standard position, we start by placing the initial side along the positive x-axis. Since we want the angle with the least possible positive measure, we choose the smallest positive angle, which is 0 degrees or 0 radians.
Next, we plot the point (-2, √3) on the terminal side of the angle. This point lies in the third quadrant of the coordinate plane. We draw a line segment from the origin to this point, representing the terminal side of the angle.
To find the values of the trigonometric functions, we can use the coordinates of the point (-2, √3) to determine the side lengths of a right triangle. The x-coordinate (-2) represents the length of the adjacent side, and the y-coordinate (√3) represents the length of the opposite side. The hypotenuse can be found using the Pythagorean theorem.
Using the values of the sides, we can calculate the trigonometric functions:
sin(0) = opposite/hypotenuse = √3/2
cos(0) = adjacent/hypotenuse = -1/2
tan(0) = opposite/adjacent = -√3
csc(0) = 1/sin(0) = 2/√3
sec(0) = 1/cos(0) = -2
cot(0) = 1/tan(0) = -1/√3
The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:
sin(0) = √3/2
cos(0) = -1/2
tan(0) = -√3
csc(0) = 2/√3
sec(0) = -2
cot(0) = -1/√3
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Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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Two figures have a similarity ratio of 3 : 7. If the area of the larger figure is 294 cm2, which is the area of the smaller figure?
Answer:
The area of the smaller figure is 126 cm^2.
Step-by-step explanation:
3:7 ratio
Divide 294 by larger ratio.
294/7 = 42
Multiply 42 by the smaller ratio.
42 x 3 = 126
Nao and Arban drive to work.
Nao drives 95 miles in 2.5 hours.
Arban drives 128 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Thank You.
Answer:
41.6 km/h
Step-by-step explanation:
Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h
1 hr 15 min is the same as 1.25 hours
Arban drives 128km/1.25hr or 102.4 km/h
The difference is 102.4-60.8 = 41.6
The zoom feature on a camera lens allows you to dilate what appears on the display. When you change from 100% to 600%, the new image on your screen in an enlargement of the original image with a scale factor of 5. If the new image is 36 millimeters wide, what was the width of the original image?
A: 6 mm
B: 2mm
C: 12 mm
D:5 mm
Answer:6mm
Step-by-step explanation:
So we know that you started with 100% and ended with 600% to get from 100 to 600 you would need to multiply by 6
100 * 6 = 600
So you know that to get back to your original number you would need to divide by 6
If you are trying to figure out what the original width is you would divide your current number by 6 to get the original number
36 / 6 = 6
A. Range
B. Mode
C.mean
D.median
Please help me for a test i will give you a lot of Brainly points
Answer:
Step-by-step explanation:
A range
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
which representation illustrates all the possible outcomes of flipping a coin and rolling
Answer:
2
Step-by-step explanation: