Answer:
131.6
Step-by-step explanation:
During batting practice, two pop flies are hit from the same location, 2 s apart. the paths are modeled by the equations h = -16t2 + 56t and h = -16t2 + 156t - 248, where t is the time that has passed since the first ball was hit. explain how to find the height at which the balls meet. then find the height to the nearest tenth. to find the time at which both balls are at the same height, set the equations equal to each other then solve for t. the balls meet at a height of ft.
The time at which both balls are at the same height is t = 2.48 seconds and the balls meet at a height of approximately 125.44 feet.
To find the height at which the balls meet, we need to set the two equations equal to each other:
-16t^2 + 56t = -16t^2 + 156t - 248
By simplifying the equation, we can cancel out the -16t^2 terms and rearrange it to:
100t - 248 = 0
Next, we solve for t by isolating the variable:
100t = 248
t = 248/100
t = 2.48 seconds
Now, we substitute this value of t into one of the original equations to find the height at which the balls meet. Let's use the first equation:
h = -16(2.48)^2 + 56(2.48)
h ≈ 125.44 feet
So, the balls meet at a height of approximately 125.44 feet.
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The following angles are given in degrees and fractions of degrees. Rewrite them in degrees, arcminutes, and arcseconds.
A. 24.2 degrees?
B. 1.56 degrees?
C. 0.1 degrees?
D. 0.01 degrees?
The value is approximately equal to 12.0711°
Degrees-Minutes-SecondsWhile measuring angles, we use various units of measurements such as the degrees or the SI unit radians as per our convenience.
When we use the degree system, we can use the degree-minute-second or the degree decimal system as per our requirement of precision.
The angle in degree - minutes - seconds is 12°4'16"
We know that \(\frac{1}{60}\) of a degree is minute and \(\frac{1}{60}\) of a minute is a second.
Hence, \(\frac{1}{3600}\) of a degree is a second.
Therefore the angle \(\theta\) in degrees and decimal fractions of degrees will be:
\(\theta\) = \(12+\frac{1}{60}\) × 4 + \(\frac{1}{3600}\) × 16
= \((12+\frac{1}{15}+\frac{1}{225} )\)°
The value is approximately equal to 12.0711°
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The given question is incomplete, complete question is:
The angle 12 degrees 4'16" is given in degrees, arcminutes, and arcseconds. How do you rewrite them in degrees and decimal fractions of degrees?
Rachana has a set of ten mugs the set up is made of 3 different mugs
If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.
To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.
Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.
For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.
Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.
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Complete question is:
Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?
15 What is the value of x? Only type the number. Pleassee help
The value of x for the given triangles is 48.
What is the similarity?Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.
Given that there are two triangles. The two triangles are similar to each other.
The value of x will be calculated by applying the property of similarity in the two triangles.
(18+x) / (56+21) = x / 56
(18+x) / ( 77 ) = x / 56
1008 + 56x = 77x
1008 = 21x
x = 48
Therefore, the value of x will be 48.
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Find the difference.
-12 - (-8)
Answer:
-4
Step-by-step explanation:
-12 - (-8)
the two negatives will combine to make a positive so:
-12 + 8 = -4
Answer:
-4
Step-by-step explanation:
-12 - (-8)
can also be seen as:
-12 - -8
Which would be the same as:
-12 + 8
(The minus signs cancel each other out, so it turns positive.)
and to solve:
-12 + 8 = -4
Simplify to a single power of 5: 5^8/5^6
Answer:
5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.
Step-by-step explanation:
Answer:
the answer for that is 5^6-3 = 5^3 = 125
Step-by-step explanation:
Simplify the expression. 6(3−y)
Answer:
18 - 6y
Step-by-step explanation:
Step 1:
6 ( 3 - y )
Step 2:
6 × 3 - 6 × y
Answer:
18 - 6y
Hope This Helps :)
Answer:
18-6y
Step-by-step explanation:
Use the Distributive Property.
you have six slices of bread, three tomato slices, and two cheese slices. how many tomato-cheese sandwiches can you make? which ingredient(s) limit the number of sandwiches you can make?
You can make a maximum of two tomato-cheese sandwiches. because you can only make as many tomato-cheese sandwiches as the number of cheese slices you have
To make a tomato-cheese sandwich, you need one tomato slice and one cheese slice. Since you have three tomato slices and two cheese slices, you are limited by the availability of cheese slices.
Therefore, you can only make as many tomato-cheese sandwiches as the number of cheese slices you have, which in this case is two.
The ingredient that limits the number of sandwiches you can make is the cheese slice. You have more tomato slices than cheese slices, so you cannot make more than two tomato-cheese sandwiches.
Even if you have extra tomato slices, you cannot make additional sandwiches because you do not have enough cheese slices to pair with them.
In summary, the number of tomato-cheese sandwiches you can make is determined by the ingredient with the lowest quantity,
which in this case is the cheese slice. Therefore, you can make a maximum of two tomato-cheese sandwiches.
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Show your work.
1) 800 yards into feet.
2) 1,540 decimeters into meters
3) 15 gallons into pints
4) 20.56 milligrams into centigrams
5) 61°F to C°
6) 10°C to °F
7) 27°F to °C
Answer:
1= 2,400 feet
2= 154 meters
3= 120 pints
4= 2. 056 centigrams
5= 16.1 C
6= 50F
7= -2.8C
1= multiply the length value by 3
2= divide the length value by 10
3= multiply the volume value by 8
4= divide the mass value by 10
5= Take the °F temperature and subtract 32. Multiply this number by 5. Divide this number by 9 to obtain your answer in °C.
6= multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit.
Answer:
1) 800 yards into feet.
Now
we have
1 yard=3ft
800yard=800*3=2400ft
2) 1,540 decimeters into meters
we have
10deci meter=1 meter
1decimeter =1/10meter
1540decimetre=1540/10=154meters
3) 15 gallons into pints
1 gallon =8 pints
15 gallons=8*15=120pints
4) 20.56 milligrams into centigrams
we have
10milligram=1 centigram
20.56milligram=1*20.56/10=2.056centigram
5) 61°F to C°
Formula
(61°F − 32) × 5/9 = 16.11°C
61°F=16.11°C
6) 10°C to °F
Formula
(10°C × 9/5) + 32 = 50°F
10°C =50°F
7) 27°F to °C
Formula
(27°F − 32) × 5/9 = -2.78°C
27°F=-2.78°C
Which of the following is the characteristic feature of all alkenes? the presence of a ring system the presence of at least one carbon-carbon double bond, and at least one carbon-carbon triple bond the presence of one or more carbon-carbon double bonds the presence of one or more carbon-carbon triple bonds
The characteristic feature of all alkenes is the presence of one or more carbon-carbon double bonds.
Alkenes are a class of hydrocarbons that contain carbon-carbon double bonds (C=C). These double bonds are formed by the sharing of two pairs of electrons between two carbon atoms.
This double bond configuration imparts unique chemical and physical properties to alkenes, distinguishing them from other classes of hydrocarbons.
The presence of one or more carbon-carbon double bonds is the defining characteristic of alkenes. This feature gives alkenes their reactivity and makes them prone to undergo addition reactions, where atoms or groups of atoms add to the double bond to form new compounds.
The presence of double bonds also affects the physical properties of alkenes, such as their boiling points, melting points, and solubility.
In contrast, alkanes, another class of hydrocarbons, do not possess double bonds and are characterized by single carbon-carbon bonds. Alkynes, yet another class of hydrocarbons, contain carbon-carbon triple bonds (C≡C).
Therefore, the presence of one or more carbon-carbon double bonds specifically distinguishes alkenes from other hydrocarbon classes.
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he magnitude of vector
A
/56.8 m. It points in a direction which makes an angle of 145
∘
measured counterdockwise from the positive x-axis. (a) What is the x component of the vector −3.5
A
? (b) What is the y component of the vector −3.5
A
? (c) What is the magnitude of the vector −3.5
A
? m
The x-component, y-component, and magnitude of the vector -3.5A.
(a) To find the x-component of the vector -3.5A, we need to multiply the x-component of vector A by -3.5. The x-component of vector A can be found using the formula:
x-component = |A| * cos(θ), where |A| is the magnitude of vector A and θ is the angle it makes with the positive x-axis. Substituting the given values, we have: x-component = 56.8 m * cos(145°).
Evaluating this expression gives us the x-component of -3.5A.
(b) To find the y-component of the vector -3.5A, we multiply the y-component of vector A by -3.5.
The y-component of vector A can be found using the formula: y-component = |A| * sin(θ), where | A| is the magnitude of vector A and θ is the angle, it makes with the positive x-axis.
Substituting the given values, we have:
y-component = 56.8 m * sin(145°). Evaluating this expression gives us the y-component of -3.5A.
(c) The magnitude of the vector -3.5A can be found using the Pythagorean theorem: |-3.5A| = √((x-component)^2 + (y-component)^2).
By substituting the calculated values of the x-component and y-component into this equation, we can find the magnitude of -3.5A.
By evaluating these expressions, we can determine the x-component, y-component, and magnitude of the vector -3.5A.
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What is the value of x? responses x = 4. 8 cm x, = 4. 8 cm x = 30 cm x, = 30 cm x = 93 cm x, = 93 cm x = 187. 5 cm x , = 187. 5 cm.
Using the equation we know that the required value of x is (B) 30 cm.
What are equations?Basically, an equation is when you have two expressions with the same value on either side of an "equal to" sign.
For example, 3x + 5 = 15.
There are lots of different types of equations, like linear, quadratic, and cubic, among others.
So, looking at the diagram, the equation is true.
x/75 = 12/30
Solve as follows:
30x = 12 * 75
30x = 900
30x/30 = 900/30
x = 30
Therefore, using the equation we know that the required value of x is (B) 30 cm.
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Correct question:
What is the value of x?
(A) X= 4.8 cm
(B) X= 30 cm
(C) X= 93 cm
(D) X= 187.5 cm
What are the steps to understanding this problem as well as the answers.
Step-by-step explanation:
1
\( \frac{1}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{3 - 4i}{25} = \frac{ 3}{25} - \frac{4i}{25} \)
2)
\( \frac{1}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{3 + 4i}{25} = \frac{ 3}{25} + \frac{4i}{25} \)
3)
1+0i
4)
\( \frac{3 - 4i}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{ - 7 - 24i}{25} = - \frac{7}{25} - \frac{24i}{25} \)
5)
3 - 4i
6)
\( \frac{3 + 4i}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{ - 7 + 24i}{25} = - \frac{7}{25} + \frac{24i}{25} \)
The volume of a sphere is 11,488.21 .To the nearest yard, what is the radius of the sphere? Use 3.14 for
Answer:
The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere
Find the perimeter of AABC.
B
5x-19
2x +11
А
16
10
0 31
0 47
78
Answer:
78
Step-by-step explanation:
Since the base angles are congruent, then the triangle is isosceles and
AB = BC , that is
5x - 19 = 2x + 11 ( subtract 2x from both sides )
3x - 19 = 11 ( add 19 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
AB = BC = 2x + 11 = 2(10) + 11 = 20 + 11 = 31
Thus
perimeter = 31 + 31 + 16 = 78
Answer: 78
Step-by-step explanation:
three times the sum of seven and a number:
Answer:
7× • 3
Step-by-step explanation:
This might be the answer
PLEASE HELPPPPPPPPP:(
Answer: The first one, y = 3x - 4
Hope this helps :)
Answer:
Option 1, which is y= 3x - 4
Find the diameter of a sphere with a surface area of 196π square centimeters
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}\)
What is the density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060 m3 ? 330 kg/m3 0.003 kg/m3 0.012 kg/m3 1200 kg/m3
The density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is 0.003 kg / m³.
What is the density?Density of the matter means space taken by matter.
To find the density, density = mass of matter / volume of mass.
Given that mass of the pumpkin 2.0 kg and a volume of 0.0060 m³.
Now the density from the formula;
Density = mass of pumpkin / volume of pumpkin
Density = 2.0 / 0.0060
Multiply by 10000,
Density = 20000 / 60
Density = 2000 / 6
Density = 1000 / 3
Density = 0.003 kg / m³
Therefore, the density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is 0.003 kg / m³
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how to find the x component of this vector
12.1 meters 48.4 degrees
The magnitude of the x-component of this vector is 9.05m.
The angle of inclination of the vector is calculated as;
θ = 90 ⁰ - 48.4 ⁰
θ = 41.6 ⁰
The magnitude of the x-component of the vector is calculated as;
Vx = 12.1 m x cos ( 41.6 )
Vx = 9.05 m
A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.
Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.
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Complete Question:-
a bunny hopped on a number line. A bunny hopped from -5 to 34 in 3 minutes. How far did it hop? What was its average speed?
The distance and average speed of bunny are 39 units and 780 units per hour.
How to find distance between two points on number line?The bunny hopped from \($-5 to 34$\) on the number line, which means it hopped a distance of:
\($$34 - (-5) = 34 + 5 = 39$$\)
Therefore, the bunny hopped a distance of 39 units.
To find the average speed of the bunny, we need to divide the distance it traveled by the time it took:
\($\text{Average speed} = \frac{\text{Distance traveled}}{\text{Time taken}}$$\)
The time taken by the bunny was 3 minutes, or \($\frac{3}{60}$\) hours. Therefore, the average speed of the bunny was:
\($\text{Average speed} = \frac{39}{\frac{3}{60}} = \frac{39 \times 60}{3} = 780 \text{ units per hour}$$\)
Therefore, the bunny's average speed was 780 units per hour.
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Answer:
distance:39
Average:13 per minute
Step-by-step explanation:
I can not explain i don't know how to
Point (m,2) lies on the line given by the equation 5x-y=20. find m
\(\qquad\) ☀️\(\pink{\bf{ {m = \: \:4.4 }}} \)
We are given –
Point (m,2) lies on the line given by the equation 5x-y=20.That means –
x = m y = 2Let's substitute the values of x & y in the given equation.
\(\qquad\) \(\pink{\twoheadrightarrow\bf 5x -y = 20 } \)
\(\qquad\) \(\twoheadrightarrow\sf 5 \times m - 2 =20 \)
\(\qquad\) \(\twoheadrightarrow\sf 5m =20+ 2 \)
\(\qquad\) \(\twoheadrightarrow\sf 5m = 22 \)
\(\qquad\) \(\twoheadrightarrow\sf m = \dfrac{22}{5} \)
\(\qquad\) \(\twoheadrightarrow\sf m =\cancel{ \dfrac{22}{5} } \)
\(\qquad\) \(\pink{\twoheadrightarrow\bf m = 4.4} \)
Henceforth, value of m will be 4.4.what is -2/3 divided by 6/8
Answer:
-8/9 yw
Step-by-step explanation:
just divide the numbers by each other:D
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Here's the solution :
\( - \dfrac{2}{3} \div \dfrac{6}{8} \)\( - \dfrac{2}{3} \times \dfrac{8}{6} \)\( \dfrac{ - 16}{18} \)\( \dfrac{ - 8}{9} \)Find the missing value of x and y.
Answer:
x = y = \(\sqrt{7\\}\)
Step-by-step explanation:
\(\sqrt{7} ^{2} + \sqrt{7} ^{2} = \sqrt{14}^{2}\\7 + 7 = 14\)
HELP AGAIN, LAST ONE!
Answer:
-3
Step-by-step explanation:
Given: -62 -(-59) =
"Clean House" / Combine Negatives: -62 + 59 =
Add: -62 + 59 = -3
Answer: -3
Hope this helps, have a nice day :)
Nyoko is having a pizza party. If two large pizzas serve 9 people, how many pizzas should she order to serve 27 guests at the party?
Answer: 6
Step-by-step explanation:
Just some simple ratios
P = Pizza People = Pl
P: Pl
2 : 9
x: 27
We want to find x.
Since 27/9 is equal to 3, we multiply 2 by 3 as well!
2x3=6, our desired amount.
$220 is invested in an account earning 4.8% interest (APR), compounded daily. Write a function showing the value of the account after t t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
The annual growth rate (APY) for this investment is 0.48%. This means that the account will grow 0.48% each year. This is equivalent to an APR of 4.8%.
The function below shows the value of the account after t years, where the annual growth rate can be found from a constant in the function and all coefficients are rounded to four decimal places.
V(t) = 220 * (1 + 0.00480)t
The annual growth rate (APY) can be calculated by taking the natural logarithm of both sides of the equation and solving for the rate.
ln(V(t)) = ln(220 * (1 + 0.00480)t)
ln(V(t)) = ln(220) + ln((1 + 0.00480)t)
ln(V(t)) = ln(220) + t*ln(1 + 0.00480)
Taking the derivative of both sides with respect to t yields:
(1/V(t)) * (dV(t))/dt = ln(1 + 0.00480)
Solving for the rate:
r = (1/V(t)) * (dV(t))/dt/t = ln(1 + 0.00480)/t
The annual growth rate (APY) for this investment is 0.48%. This means that the account will grow 0.48% each year. This is equivalent to an APR of 4.8%.
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One more time help????
Horatio sold 5/8 of a carton of bottled water. A carton contains 32 bottles of water. How many bottles did Horatio sell?
Bottles
Answer:
20 i'm sure
Step-by-step explanation:
Answer:
20! brandonlugo2026 is correct.
Step-by-step explanation:
What is the solution to the equation below?
5 + (10 × 8) ÷ 5 - 7 = ?