Answer: Hence the ball would take about 4 seconds to hit the ground, so the answer is A).4 seconds
Step-by-step explanation:
someone please help me answer this!!
Answer:
0.55x10= 5.50
Step-by-step explanation:
URGENT 20 points please
The ancient Greek mathematician Euclid is credited with the development of the theorem that the sum of the angles of
a triangle is 180 degrees.
Use the previous information to solve for the measure of the two unknown angles of an isosceles triangle where the
third angle measures 32 degrees.
If the third angle measures 32 degrees, the other two angles measure ____ and ____
do 180-32=148 and then do 148÷2=74
A1 Math gr8 20-21 Form CNG Online
8 of 8Item s
Item 8
Use the drop-down menus below to create an equation that represents the line on the graph.
The graph's x-axis ranges from negative 10 to 10, and the y-axis ranges from negative 10 to 10.
$y\ =$
Answer:
ss
Step-by-step explanation:
s
2. Which system has an infinite number of solutions?
a. x ÷ 2=y
4=2y - x
b. 2y ÷ 6 = 4x
-3 = y - 2x
c. y ÷ 3 = 2x
4x = 2y - 3
d. y = 2x - 5
-2 = y - 2x
A set of two or more linear equations involving the same set of variables make up a linear system of equations, which is the type of system of equations in question.
Substitution methodAnswer: d. y = 2x - 5; -2 = y - 2xy = 2x - 5 and -2 = y - 2x has an infinite number of solutions.This system can be written as y = 2x - 5 and -2 = y - 2x.Since they have the same equation, they have an infinite number of solutions.The equation y = 2x - 5 can be rearranged to x = (y + 5)/2, and when this is substituted into -2 = y - 2x, the equation becomes -2 = y - 2(y +5)/2, simplifying to 0 = 5y + 10.This equation has an infinite number of solutions, since any value of y will satisfy the equation.For example, if y = -2, then x = 0; and if y = 6, then x = 4. All real numbers satisfy the equation, so the system has an infinite number of solutions.To learn more about infinite number of solutions refer to:
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Graph (3,4) when the radius is 6
Answer:
(x-3)^2+(y-4)^2=6^2
Step-by-step explanation:
(x-3)^2+(y-4)^2=6^2
Cancel the common factor of the numerator and the denominator and write specified expression
Step-by-step explanation:
Hello,
I hope you mean to cancel the common factor that exists in numerator and denominator,right.
so, Let's look for the common factor,
here, the expression is,
=4(x-2)/ (x+5)(x-2)
so, here we find the common factor is (x-2)
now, we have to cancel it. And after cancelling we get,
=4/(x+5)
Note:{ we cancel the common factor if the common factors are in multiply form.}
Hope it helps
The question is in the picture.
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
Please review the following sets of sentences and select the one that contains filler.
A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.
B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.
C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.
D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.
The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D
In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.
The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.
In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.
Option D
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Answer:D
Step-by-step explanation:
1. An oil tank has a circular cross section of radius 2.1 metres. It is filled to a depth of 3.4 metres. a) Calculate x, the width in metres of the oil surface. 3-4 m b) What other depth of oil would give the same surface width? 2.1m
Answer:
Step-by-step explanation:
A) We can find half of the width of the surface by applying pythagorean theorem on the right angled triangle formed by three points which are the center of the circle, the point on the circle where the the endpoints of the width and the radius meet, and the midpoint of the width.
let radius=r, width=w
\(r^2=(w/2)^2+(3.4-2.1)^2\\\), since the distance between the origin and the midpoint of the width is 3.4m-2.1m.
\(-(w/2)^2=(3.4-2.1)^2-r^2, r=2.1\\-(w/2)^2=(1.3)^2-(2.1)^2\\-(w/2)^2=1.69-4.41\\-(w/2)^2=-2.72\\w/2=\sqrt{2.72}\\w=2*\sqrt{2.72}\\w=3.3 meter\)
B) we can find the other depth of oil which can give the same surface area of oil if the now empty part of the cylinder is filled with oil and the now filled part of the cylinder is empty, so the other possible depth for the same surface area of oil is the diameter of the circle minus 3.4 meters:
diameter=4.2 meter, 4.2 meter-3.4 meter:
0.8 meter depth
a. The width (x) of the oil surface is approximately 5.348 meters.
b. Another depth of oil that would give the same surface width (x ≈ 5.348 meters) is approximately 3.402417 meters.
a) Here, we have to calculate the width (x) of the oil surface, we need to find the length of the chord of the circular cross-section at the top of the oil tank.
We can use the formula for the length of a chord in a circle when the depth and radius are known.
Given that the radius (r) of the circular cross-section is 2.1 meters and the depth (d) of the oil is 3.4 meters, the width (x) can be calculated as follows:
x = 2 * √(r * d)
x = 2 * √(2.1 * 3.4)
x = 2 * √(7.14)
x ≈ 2 * 2.674
x ≈ 5.348 meters
So, the width (x) of the oil surface is approximately 5.348 meters.
b) Now, let's find the other depth of oil that would give the same surface width (x = 5.348 meters).
We can rearrange the formula to solve for the depth (d):
x = 2 * √(r * d)
Divide both sides by 2:
x/2 = √(r * d)
Square both sides:
(x/2)² = r * d
Now, plug in the given values (x = 5.348 meters and r = 2.1 meters) and solve for d:
(5.348/2)² = 2.1 * d
2.674² = 2.1 * d
7.145076 = 2.1 * d
Divide by 2.1:
d ≈ 7.145076 / 2.1
d ≈ 3.402417
So, another depth of oil that would give the same surface width (x ≈ 5.348 meters) is approximately 3.402417 meters.
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A rock is thrown upward from the top of a high cliff overlooking the ocean at a speed of 96 feet per second . The rock's height above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . How long will it take seconds for the rock to hit the ocean? Do not include units in your answer.
Answer:
7
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
In this question:
The height of the rock after t seconds is given by the following equation:
\(H(t) = -16t^2 + 96t + 112\)
How long will it take in seconds for the rock to hit the ocean?
This is t for which:
\(H(t) = 0\)
So
\(-16t^2 + 96t + 112 = 0\)
Simplifying by -16
\(t^2 - 6t - 7 = 0\)
So a quadratic equation with \(a = 1, b = -6, c = -7\)
\(\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64\)
\(t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7\)
\(t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1\)
Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.
Find the degree measure of a, b, c, d, e, f, g, and h. Explain how you
found each answer.
142°
8 h
a
b
1060
e
130°
Answer:
were fired up
Step-by-step explanation:
The graph below shows the solution to which system of inequalities?
factorise fully:
1) 2014² - 2013²
please explain and help
What is the measure of B?
A. 60
B. 25°
C. 759
D. Cannot be determined
Answer:
60°
Step-by-step explanation:
The triangle ABC is a equilateral triangle with all side lengths measures equal to each other so the angle measures would be same and equal as well
In trapezoid ABCD, line AC is a diagonal and angle ABC is congruent to angle ACD. Find AC if the lengths of the bases line BC and line AD are 12m and 27m, respectively
Since ΔABC and ΔACD are similar triangles, therefore the length of AC is 18 m.
What are Similar Triangles?Similar triangles are triangles with corresponding sides that have the same ratio.
Thus:
AD is parallel to BC (bases of a trapezoid are parallel)
Therefore:
∠ACB = ∠CAD (alternate interior angles)
This implies that, ΔABC ~ ΔACD by AA similarity theorem.
Thus:
AC/DA = CB/AC
Substitute
AC² = 12 × 27
AC = √324
AC = 18 m
Therefore, since ΔABC and ΔACD are similar triangles, therefore the length of AC is 18 m.
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Met Manufacturing produces inexpensive sunglasses. The selling price per pair is $9.44, with variable costs per pair being $2.19. Fixed costs, which include paying off the plant, labor, insurance, marketing, and management, are $748,374. What is the break-even point?
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
Definitiοn οf a unitary methοd.The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.
Here,
We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.
Assume that X sunglasses must be sοld tο break even.
Fixed cοst plus variable cοst equals tοtal cοst.
Selling price x Number οf units sοld equals tοtal revenue.
The tοtal revenue and entire expense are equal at the break-even pοint.
Thus, we can cοnstruct the equatiοn:
Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.
=> $9.44 X = $748,374 + $2.19 X
=> $9.44 X - $2.19 X = $748,374
=> $7.25 X = $748,374
=> X = $748,374 / $7.25
=> X = 103,184
Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.
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In d e f, d f equals 16 and F equal 26. Find Fe to the nearest tenth
Answer:
14.4 units
Step-by-step explanation:
In Trigonometry
\(\cos \theta =\frac{Adjacent}{Hypotenuse}\\\)
In Triangle DEF,
\(\cos F =\dfrac{EF}{DF}\\\cos 26^\circ =\dfrac{EF}{16}\\EF=16 \times \cos 26^\circ\\=14.4$ units (correct to the nearest tenth).\)
you invest $2000 in an account that pays simple interest of 2% for twenty years. what amount of money will you have in 20 years
Answer:
$2971.9
Step-by-step explanation:
2000*(1+2%)^20 = 2971.895
Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $98
Selling price: $111.48
Tax amount: $
Tax rate: %
The tax amount is $16.48 and the tax rate is 16.8%
How to find the tax rate?If the tax rate is an increase of an X percent, and x is the decimal form of that percentage, then the factor by wich a price increases is (1 + x)
Here we know that the cost of theitem is $98 and the selling price (after the the tax is applied, is $111.48
Then we can write:
111.48 = 98*(1 + x)
Solving that for x we will get:
111.48/98 - 1 = x = 0.168
Writting that as a percentage we get:
0.168*100% = 16.8%
And the value of the tax alone is given by the difference between the two prices:
$114.48 - $98 = $16.48
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Help me please will be appreciated thx
Answer:
-6 +8d -2c
Step-by-step explanation:
\(\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c\)
Help sue at 12am and it’s 10 pm
..........plsssssssssssssssss
Answer:
a = 4
b = 5
c =6
Step-by-step explanation:
i hope it helps
the answers are absolutely correct
Number 10 thank you ASAP
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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please help and tell me how you got your answer
Answer:
36
Step-by-step explanation:
Any number on top, like 6^2 is multiply the number by itself accordingly to the number on top. For example, if it is 6 to the 4th, then you multiply 6 by itself 4 times, and you will get 1296. Squaring is a number multiplying to itself according to the exponet.
(-1.1/7)
Find the exponential function f(x) = a^X of this interval.
f(x) = .........
The exponential function that passes through the point (-1, 1/7) for the given interval is f(x) = 7ˣ.
What is the exponential function?To find the exponential function that passes through the points (-1, 1/7), we can use the general form of an exponential function, which is:
f(x) = aˣ
where;
a is the base of the exponential function.First, we can use the given point (-1, 1/7) to find the value of "a". Substituting these values into the equation, we get:
1/7 = a⁻¹
To solve for "a", we can take the reciprocal of both sides of the equation and simplify:
7 = a
Now that we have found the value of "a", we can substitute it into the general form of the exponential function to get the specific function for this interval:
f(x) = 7ˣ
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The complete question is below:
(-1, 1 / 7)
Find the exponential function f(x) = aˣ of this interval.
f(x) =
geometry acellus i need help pretty please
Answer:
change your pfp and ill give u the answer
Step-by-step explanation:
Answer:
x = 17.5 degrees
Step-by-step explanation:
So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.
2x+10 = 45
Move over the 10
2x = 35
Divide by 2
x = 17.5 degrees
That's all.
perform the indicated operation y^4-16/y+2 ÷ y^2+4/5
Answer:
5(y-2)
Step-by-step explanation:
(look at screenshot)
The solution of the expression (y⁴ - 16) /(y + 2) ÷ (y² + 4) / 5 will be;
⇒ 5 (y - 2)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (y⁴ - 16) /(y + 2) ÷ (y² + 4) / 5
Now,
Solve the expression as;
⇒ (y⁴ - 16) /(y + 2) ÷ (y² + 4) / 5
⇒((y²)² - 4²) /(y + 2) ÷ (y² + 4) / 5
Since, we know that;
⇒ a² - b² = (a - b) (a + b)
So, We get;
⇒ (y² - 4) (y² + 4)/(y + 2) ÷ (y² + 4) / 5
⇒ (y² - 4) (y² + 4)/(y + 2) × 5 / (y² + 4)
⇒ (y² - 4) /(y + 2) × 5
⇒ 5 (y² - 4) /(y + 2)
⇒ 5 (y - 2) (y + 2)/(y + 2)
⇒ 5 (y - 2)
Thus, The solution of the expression (y⁴ - 16) /(y + 2) ÷ (y² + 4) / 5 will be;
⇒ 5 (y - 2)
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help a brother out????
Answer:
0
Step-by-step explanation:
1. Substitute the values in: \(2^0 - (-1)^2\)
2. Evaluate the expression: \(2^0 = 1\), \((-1)^2 = 1\), which means that 1 - 1 is 0
Therefore, 0 is the answer.
In a certain year, there were 88 female officials in Congress, which is comprised of the House of Representatives and the Senate. If there were 54 more female members of the House of Representatives than female senators, find the number of females in each house of Congress.
Answer:
71 in House of Representatives17 in SenateStep-by-step explanation:
Let h and s represent the numbers in the House and Senate, respectively. Then we have ...
h + s = 88
h - s = 54
Subtracting the second equation from the first gives ...
(h +s) -(h -s) = (88) -(54)
2s = 34 . . . . . simplify
s = 17 . . . . . . . divide by 2
h = 88 -17 = 71 . . . . find the other value using the sum equation
There were 71 females in the House of Representatives, and 17 females in the Senate.
Evaluate expression
a) -19 + 3(-13 + 4*3)
b) | -7(2) |
c) 15 – 3 | - 4-2 |
Answer:
a) -22, b)14 c) -3
Step-by-step explanation:
a) -19+3(-13+4*3)
= -19+3*(-13+12)
= -19+3*(-1)
= -22
b) | -7(2)|
= | -7*2|
= -14
c) 15-3 | -4-2|
= 15-3* (-6)
= 15-18
= -3