Answer:
NO
Step-by-step explanation:
Two fourths =
\( \frac{2}{4} = 0.5\)
Two thirds =
\( \frac{2}{3} = 0.66667\)
Therefore
0.66667 > 0.5
\( \frac{2}{3} > \frac{2}{4} \)
or
0.5 < 0.66667
\( \frac{2}{4} < \frac{2}{3} \)
i hope this helped
Answer: No, 2/4 is not greater than 2/3
Step-by-step explanation: To find an easy way to calculate their values we have 2 options. So, the 1st option is to turn them into a decimal. I already calculated their values which are:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is not greater than 0.667.
The 2nd way is to find a common denominator, which would look like this:
2/4 = 6/12
2/3 = 8/12
8/12 is greater than 6/12, so that also proves that 2/4 is not greater than 2/3.
What is the solution to the given system of equations
Y= 4x-28
Y= 1.5x - 18
-12,4
4,-12
7,0
7.5,2
Answer:
Point Form:
(4,−12)(4,-12)
Equation Form:
x=4,y=−12
If Susan will be 2 times old in seven years as she was 3 years ago, what is Susan's present age?
Answer:
Let's start by assigning a variable to Susan's present age. Let's call it "x".
According to the problem, in seven years, Susan will be "x + 7" years old.
Three years ago, Susan was "x - 3" years old.
The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:
x + 7 = 2(x - 3)
Now we can solve for x:
x + 7 = 2x - 6
x = 13
Therefore, Susan's present age is 13 years old.
Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."
Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:
x + 7 = 2(x - 3)
Let's solve this equation to find Susan's present age:
x + 7 = 2x - 6
Subtracting x from both sides:
7 = x - 6
Adding 6 to both sides:
13 = x
Therefore, Susan's present age is 13 years.
Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?
A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 972 in3. How big a piece of cardboard is needed? Your answer is:__ in. by___ in.
show your work
Answer:
24 in by 24 in
Step-by-step explanation:
Height of the box is 3 in, then
area of base is 972/3 = 324 in.
The side of the box base is \(\sqrt{324}\) = 18
The side of the square piece of carboard is 18 + 2 x 3 = 24 in.
If Cindy uses 1
1/2 cups of sugar to make 2 pints of Kool-aid, how much sugar would she need for 5 pints of Kool-aid?
Answer: 3.75
Step-by-step explanation:
5/2=2.5
1 1/2 = 1.5
1.5*2.5=3.75
What kind of question is this? To say you are in college...
What is one fifth of twenty more than half
of 80?
(A) 8
(B) 10
(C) 12
(D) 13
Answer:
(C) 12
Step-by-step explanation:
To solve this problem, we can use the following steps:
Find half of 80: 80/2 = 40
Add 20 to half of 80: 40 + 20 = 60
Find one fifth of the result: 60/5 = 12
Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.
Answer:
(C) 12
Step-by-step explanation:
What is one fifth of twenty more than half of 80
0.5 × 80 = 40
What is one fifth of twenty more than half of 80
40 + 20 = 60
What is one fifth of twenty more than half of 80
1/5 × 60 = 60/5 = 12
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Using the following graph, determine the equation of the graph in slope intercept form.
the equation of the graph in slope intercept form.
\(y=2x+9\)
Given :
We are given with the graph of a line
Slope intercept form of a line is y=mx+b
where m is the slope and b is the y intercept .
To find out slope m we use slope formula
Lets pick any two points from the graph
\((0,9) and (1,11)\)
Apply slope formula
\(m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{11-9}{1-0} =2\)
Slope is 2
Y intercept is the point where the graph crosses y axis
Graph crosses y axis at (0,9)
y intercept b=9
Now we frame equation of line using slope and y intercept
\(y=mx+b\\y=2x+9\)
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The volume of a tree stump can be modeled by considering it as a right cylinder. Xavier measures its height as 2.1 ft and its circumference as 61 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump is 7451.9 cubic inches.
How to find the volume of the stump in cubic inches?The volume of a cylinder can be calculated using formula below:
V = πr²h
where r is the radius and h is the height of the cylinder
We have circumference (C) = 61 in.
Let's find the radius (r) using the formula:
C = 2πr
61 = 2 * 22/7 * r
r = 9.70 in
h = 2.1 ft = 2.1 * 12 = 25.2 in
Substituting into V = πr²h:
V = 22/7 * 9.70² * 25.2
V = 7451.9 cubic inches
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
is (85.76%) an C or B
Answer:
It is B.
Step-by-step explanation:
A C is anything between 73-76 %, while a B is anything between 83-86 %
I need some help with this math problem help me out please...
Answer:
29
Step-by-step explanation:
(7-5)^2 is 4 and (20-19)^2 is 1
4+1=5
3*5=15
15+14=29
Answer:
29
Step-by-step explanation:
3((7-5)^2+(20-19)^2) + 14
3(4+1)+14
12+3+14
15+14
29
What is the sum of -4 1/2 and 10 1/3 show work plz
Answer:
5 5/6
Step-by-step explanation:
Change the mixed numbers to improper fractions, and you get -9/2 + 31/3, which adds up to 35/6, then divide 35 by 6, which changes it back to a mixed number, 5 5/6.
it would be greatly appreciated if someone could help me.
Here x = 5, The two angles are ∠B = 41° and ∠C= 63°.
What is a pentagon?A pentagon is a 2D polygon with five sides and five angles.
Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°.
We are given in the figure , following information about a pentagon:
3 angles are 90 degrees, one angle is (6x+1) degrees, and the other angle is (8x-11) degrees.
To solve for x, we need to add all of the angles together.
The sum of the angles in any polygon is always equal to (n-2)*180, where n is the number of sides in the polygon.
In this case, n=5, so the sum of the angles is (5-2)*180 = 540 degrees.
We can now solve for x by substituting our known values into the equation.
540 = 90 + (6x + 1) + (8x - 11)
540 = 14x
x = 540/14
x = 5
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A company that usually sells satellite TV equipment for $74 and two year subscription of satellite TV service for 666 has a special offer that is sells the equipment for 420 and two years of service free. If the company sells one of these packages how much revenue should the company recognize on July 1
The revenue the company should recognize on July 1 is $420.
What is the Revenue recognition theorem?Revenue recognition refers to the accounting principle that outlines the conditions under which a company recognizes revenue on its financial statements. Generally, revenue is recognized when the goods or services are delivered to the customer and the payment is reasonably assured.
To determine the revenue the company should recognize on July 1, we need to understand the revenue recognition principles.
In this case, the company is offering a special package that includes satellite TV equipment for $420 and two years of service free.
The company will deliver the equipment to the customer and the customer will receive two years of service for free.
Since the two years of service are free, the company cannot recognize revenue for that portion of the package.
Therefore, the revenue the company should recognize on July 1 is only for the equipment, which is sold for $420.
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Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
Simplify.
8m+4n+7m−2n
17mn
m + 2n
15m + 2n
15m + 6n
Answer:
use math(way)
Step-by-step explanation:
Can side lengths 3, 4, and 5 form a right triangle
Answer:
Yes it can! Plz the Brainliest!
Step-by-step explanation:
A right triangle is defined as a triangle with sides in the ratio 3:4:5. Pythagorean Doubles are triangles whose sides have had a ratio of the whole numbers as their sides. Even if the sides are multiplied by any number, the result is still a right triangle with sides in the ratio 3:4:5. For instance, 6, 8, and 10 are all numbers.
32q+4= please help me
Answer:
q = -1/8
Step-by-step explanation:
You're trying to solve for q
32q+4=0
Subtract 4 both sides
32q=-4
Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.
q = -1/8
Answer:
4(8q+1)
Step-by-step explanation:
32q+4
4*8q+4*1
4(8q+1)
6. John is signed up for a running race. He wants to
choose the shortest race. His choices are 2.5 kilometers
or 5.0 kilometers. Which is the shorter race?
Answer:
yo mama (first one ) .bsnisjehdvxbnxjx
(q1) Find the length of the curve described by the function
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
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Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or -1
- The y - intercept is (0,-49)
- The x - intercepts are ( -7,0), (7,0)
- The degree is 2
- as x → - ∞, f(x) → ∞
- as x → ∞, f(x) → ∞
The polynomial function is f(x) = x² - 49 if the leading coefficient is 1 or f(x) = -x² - 49 if the leading coefficient is -1.
What is Polynomial?Polynomials are expressions of the form,
a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ
where a's are the coefficients, x is the variable and n is the number of terms.
Given that, the degree of the function is 2.
So the function is quadratic.
It is of the form f(x) = ax² + bx + c.
The y - intercept is (0,-49).
Substituting the point,
(a × 0²) + (b × 0) + c = -49
c = -49
Function is f(x) = ax² + bx - 49.
We have, the x - intercepts are ( -7,0), (7,0).
Substituting the points, we get two equations.
a (-7)² + b (-7) - 49 = 0 and a (7)² + b (7) - 49 = 0
49a - 7b - 49 = 0 and 49a + 7b - 49 = 0
Subtracting 49a - 7b - 49 = 0 from 49a + 7b - 49 = 0, we get,
14b = 0
b = 0
So the function is of the form f(x) = ax² - 49.
Given that, Assume the leading coefficient is 1 or -1.
Function is either f(x) = x² - 49 or f(x) = -x² - 49
Hence the required function is f(x) = x² - 49 or f(x) = -x² - 49.
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What is the probability that a smart phone buyer did not also own either a tablet/ laptop or a music player?
Answer: 78% of buyers didn't own both a music player or tablet/laptop at once
Step-by-step explanation:
36% didn't own a tablet/laptop, 72% didn't own a iPod/music player and 78% didn't own both at once
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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The rectangles are similar. Find x.
Answer:
x = 7 1/2
Step-by-step explanation:
We can use proportions to solve
12 5
----- = -----
18 x
Using cross products
12x = 18*5
12x = 90
Divide by 12
12x/12 = 90/12
x = 7 1/2
12/18 = 5/x
12x = 18 × 5
12x = 90
x = 90 ÷ 12
x = 7,5 => x = 7 1/2
Someone help me solve please
Answer:
48.37 degrees
Step-by-step explanation:
c = AB = sqrt((9-7)² + (2-7)²) = sqrt(4+25) = sqrt(29)
b = AC = sqrt((5-7)² + (3-7)²) = sqrt(4+16) = sqrt(20)
a = BC = sqrt((5-9)² + (3-2)²) = sqrt(16+1) = sqrt(17)
A = angle at A
B = angle at B
C = angle at C
cos(A) = (b²+c²-a²)/(2bc) = (20+29-17)/2sqrt(20)sqrt(29) =
= 32/48.16637832... = 0.664363839...
A = acos(0.664363839...) = 48.366461... degrees
Put the numbers in order from least to greatest.
Answer:
0.6 > 0.49 > 0 > -0.2 > -0.32
Step-by-step explanation:
-0.32 is the smallest number because it is farthest to the left of 0.-1/5 is the same thing as -0.2. Therefore it is the second smallest number because it is greater than -0.32 but smaller than zero. 0 belongs in the middle because it has no value and is a neutral number. 0.49 is greater than 0 so it should go to the right of zero. 6/10 is the same thing as 0.6. 0.6 is the greatest number of all these numbers so it should be the farthest to the right from 0.Please let me know if this helped!!!
An elevator travels 310 feet in 10 seconds.
1. At that speed, how far can this elevator travel in 12 seconds?
Answer:
372
Step-by-step explanation:
1 sec=31 feet
10 sec=310 feet
12 sec=372 feet
In the following: i. Find the zeros of each function
ii. Approximate the intervals in which the function is increasing, decreasing
or constant, and Sketch the graph of each function
a) f(x) = 2x⁴ - 3x² +1
b) f(x) = 4x√(1 - 3x)
c) f(x) = |x² - 9|