The time taken by the package to reach the ground will be 5.45 seconds.
What governs motion, according to Newton?The motion of an object is related to the forces acting on it by Newton's laws of motion. According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.
Solution:-
vo=12m/s
h=80m=yo
Then,
[tex]y-yo= vot-1/2gt^2[/tex]
⇒[tex]0-80m=(12m/s)t - 1/2(9.8m/s^2)t^2[/tex]
⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]
⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]
⇒[tex]t=5.45s, t=-3.00s[/tex]
∴[tex]t=5.45s[/tex]
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which number is equivalent to (-14+6)-8÷4×4
Answer:
-16
Step-by-step explanation:
(-14+6)-8/4x4
-14+6=-8
-8-8/4x4
Following order of operations, we divide first, then multiply, then add/subtract.
-8-(8/4)x4
-8-2x4
-8-(2x4)
-8-8
-16
---
hope it helps
Answer: its -16
Step-by-step explanation:
Which is the algebraic sequence of 1,4,7,10
The algebraic sequence of 1,4,7,10 is aₙ = 3n - 2
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
1,4,7,10
In the above sequence, we can see that 3 is added to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ + 3
Also, we have
a = 1 i.e. the first term
d = 3 i.e he common difference
When represented explicitly, we have
aₙ = a + (n - 1) * d
So, we have
aₙ = 1 + (n - 1) * 3
Evaluate the products
aₙ = 3n - 2
Hence, the explicit formula is aₙ = 3n - 2
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Simplify (4s^5t^-7/-2s^-2t^4). Write your answer using only positive exponents. Evaluate any numerical powers.
I'LL NAME YOU BRAINLIEST
please help!!
In positive exponents, the simplified form of the above polynomial is s⁷/t¹¹.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here,
=4s⁵*t⁻⁷/-2s⁻²*-2t⁴
=s⁷/t¹¹
The simplified form of given polynomial is s⁷/t¹¹ in positive exponents.
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Find an equation for the line that passes through the points (-5, 2) and (3, 4)
How do you solve this
The measure of angle TQW from the given figure is 25°.
What are perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.
Given that, QT⊥PQR at Q, QW⊥QS at Q, and m∠SQP=25°.
From the given figure, m∠SQP+m∠SQT=90° -------(I)
m∠TQW+m∠SQT=90° -------(II)
Here, equation (I)=(II), we get
m∠SQP+m∠SQT=m∠TQW+m∠SQT
m∠SQP=m∠TQW
25°=m∠TQW
Therefore, the measure of angle TQW from the given figure is 25°.
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HELP PLEASE How many combinations are possible to select a student president, vice president, and treasurer among 23 students? Assume a student cannot hold more than one office.
Answer:
10,626
Step-by-step explanation:
Because being the student president is different from being the treasurer, the order in which students are selected for these roles matters. Therefore, a permutation is used to calculate the number of combinations that are possible, with nPr = n/(n-r) or evaluate it by doing 23c3.
A cylinder has a diameter of 8 inches and a volume of 128 cubic inches.What is the height of the cylinder?
In an animal shelter, the ratio of cats to dogs is 6 to 9. How many CATS were in the shelter 1 point
if there were 36 dogs at the shelter? please help !!
Answer:
24 cats
Step-by-step explanation:
The ratio of cats to dogs is 6:9. There are 36 dogs in the shelter. Let's make the number of cats x.
6:9=x:36
You multiply 4 with 9 to get 36, so you do the same for 6.
6 x 4 = 24
24 cats in the shelter
Find the value of w, then x. Round lengths of segments to the nearest tenth pls help
Answer:
option b is the correct answer
Which pair of functions have the same domain?
A. f(x)= cos x and g(x)= tan x
B. g(x)= tan x and f(x)= sec x
C. f(x)= sin x and f(x)= sec x
D. g(x)= tan x and f(x)= cot x
In a middle-school mentoring program, a number of the sixth graders are paired with a ninth-grade student as a buddy. No ninth grader is assigned more than one sixth-grade buddy. If 13 of all the ninth graders are paired with 25 of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy
Answer:
13/25
I hope this is the correct answer.
The average mass of a giraffe is approximately 1x 10^8 kilograms. The average mass of a blue whale is approximately 2x 10^6 kilograms. About how many times more mass does a giraffe have than a blue whale?
Answer:
Giraffe = 1,000 kg
Whale = 2,000,000 kg
Step-by-step explanation:
Whale has 2,000 times the mass.
Can I please get Branliest and rate, like Thank you!
HELP ME WITH THIS> WILL MARK BRAINLIEST
Answer:
I think x = 8
Step-by-step explanation:
Samantha correctly solved the equation x2 -4x= 4 by completing the square. Which equation is part of her solution?
Answer:
±
2
√
2
+
2
Step-by-step explanation:
A helicopter pad which is in the shape of a circle has a circumference of 62. 48 feet and a diameter of 24 feet. Which expression best represents the value of ?
The expression which represents the value of the area could be the six times the circumference of the circle.
What is area of circle ?
area of circle can be defined as the product of pi(3.14) and square of radius of the circle.
Given,
helicopter pad which is in the shape of a circle has a circumference 72.48
and the diameter of 24 feet.
radius = diameter/2
radius = 24/2
radius = 12
circumference of circle = 72.48
area of circle = π*r*r
area of circle = 22/7 * 12 * 12
area of circle = 452.5
area of circle is approximately 6 times the circumference of circle.
Hence , The expression which represents the value of the area could be the six times the circumference of the circle.
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What are the two types of measurements of angles?
The two types of units that are used for the angle measurements are (d) degrees and radians .
The two types of Units of Measurements are Radians and Degrees ,
The unit Degrees is used to measure the direction and angle size. If the object is facing north, then the object is said to be at 0°. If the object turn the opposite direction to face south, then the object turned 180°.
A full circle comprises of 360 degree .
The Radian is an S.I. unit of measuring the angles , one radian is defined as angle made at center of a circle by an arc whose length is equal to radius of circle.
The value of 1 radian is approximately equal to 57.296 degree .
The given question is incomplete , the complete question is
What are two types of angle measurements ?
(a) metrics and radians
(b) radians and metrics
(c) degrees and metrics
(d) degrees and radians
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Multiply.
(x - 2)(x + 3)
Answer:
espero y te ayude esto de aquí
Determine how many solutions exist for this system of equations:
y = -3x+6
y=-3x – 5
A= No solution
B= One solution
C= infinity many
D= Two solutions
I’ve been having a few mistakes with substitution so pls help
Answer:
No Solution
Step-by-step explanation:
-3x+6=-3x-5
+5 +5
-3x+11=-3x
+3 +3
11=0
No Solution
What is the opposite reciprocal of 0/6
Answer: The reciprocal of a number is defined as 1 divided by that number. The opposite of a number is the number with the opposite sign. Therefore, the opposite reciprocal of a number is equal to the reciprocal of the opposite of that number.
In this case, the opposite reciprocal of 0/6 is the reciprocal of the opposite of 0/6. The opposite of 0/6 is 0/-6, which is equal to -0/6. The reciprocal of -0/6 is 1/(-0/6) = -6/0.
However, division by 0 is not defined, so it is not possible to find the reciprocal of -0/6. Therefore, the opposite reciprocal of 0/6 is undefined.
Step-by-step explanation:
Answer:
there is no reciprocal for 0/6
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!!!!
In a party, the guest's attendance depends on their vehicle status. If they have four wheelers then the attendance of guests is 2500 and if they have two wheelers then the attendance of guests is 1500. If on the next party, 70% of families will have four wheelers and 30% of families will have two wheelers. What is the expected attendance of guests?
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
what is percentage ?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
given
2500 guests are present when four-wheelers are available.
two wheelers, the number of guests is 1500,
making the total 2500 + 1500 = 4000.
70 percent of families will own four-wheelers, or 3000/4000/100.
30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
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Which graph matches the system of equations
2x+3y=5
4x−5y=−1
Responses
The graph of equation is in image.
What are linear equations?When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."
There are linear equations with one and two variables, respectively.
Given equations
2x + 3y = 5
4x - 5y = -1
For equation 1
2x + 3y = 5
The table of values appears as follows
x 1 -2 4
y 1 3 -1
Coordinates for equation 2
4x - 5y = -1
The table of values as thus
x 1 2 -4
y 1 1.8 -3
And the intersection point of equation is (1, 1)
Hence the graph of equation is intersecting at (1, 1).
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This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
BCDF
Frequency
5
10
15
3
2
Find the probability that a student earns a
grade of A, B, or C.
p=[?]
Enter a decimal rounded to the nearest hundredth.
Answer:
85.71% probability
Step-by-step explanation:
30 of 35 of the students are in abc range so take 35/100% or 0.35 and go 30/0.35 and you get 85.71%
A stone was thrown into a pond from 8 feet above the surface of the water in the pond. Justin wrote 8 feet to represent the height from which the stone was thrown. What does 0 represent in this situation
can someone help me do my homework
Answer:
(0, -8)
Step-by-step explanation:
Because the question asks for the y-axis intercept, the x coordinate will automatically be 0. Then we just look at where parabola intersects the y axis (-8), and that's the y coordinate. Finally, we put those two numbers together:
(0, -8)
Answer:
(0, -8)
Step-by-step explanation:
That is where the y-intercept happens.
Hope this helps! Please leave any questions or concerns in the comments. byeee <3
PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS
Answer:
F and C
Step-by-step explanation:
CUZ AAS means angle angle side
Answer:
see explanation
Step-by-step explanation:
for the triangles to be congruent by the angle- side- angle (ASA postulate )
if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle ( included side is the side between the vertices of the two angles ) , then the triangles are congruent.
given
∠ B ≡ ∠ D and AB ≡ PD
then the included sides are AB and PD
the other 2 angles for congruency are ∠ A ≡ ∠ P
-----------------------------------------------------
By the AAS postulate
If two angles and a non included side of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent
for AAS then ∠ C ≡ ∠ F
if u answer correct u r a math god its hard trust me
Answer:
27 square units
Step-by-step explanation:
Area of triangle = 1/2(b)(h)
Base = 6
Height = 9
1/2(6)(9)
1/2(54)
Area = 27 units
Help me please
in this worksheet
Answer:
the document doesnt open up for me
Step-by-step explanation:
The table provides information on road accidents reported to the police for the days in December.
Accidents reported l Frequency
3 - 7 l 17
8 - 12 l 1
13 - 18 l 1
19 - 25 l 12
Estimate the range.
The range of the accidents reported from the grouped frequency table is 22.
What is a range in a set of data?The range is the difference between the highest value and the lowest value of a given set of data.
We have,
The number of accidents reported from the grouped frequency table.
The largest number of accidents = (19 - 25)
The smallest number of accident = (3 - 7)
Now,
Range.
= 25 - 3
= 22
Thus,
The range of the reported accidents is 22.
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what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25
Answer:
y = -1/5x - 31/5
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + 5y = 25.
First, let's put this in standard form of y = mx + b.
x + 5y = 25
Subtract x from both sides.
5y = -x + 25
Divide each term by 5.
y = -1/5x + 5
This line's slope is -1/5. A line parallel to this one will also have a slope of -1/5.
Plug this value (-1/5) into your standard point-slope equation of y = mx + b.
y = -1/5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -5). Plug in the x and y values into the x and y of the standard equation.
-5 = -1/5(-6) + b
To find b, multiply the slope and the input of x (-6)
-5 = 6/5 + b
Now, subtract 6/5 from both sides to isolate b.
-5 - 6/5 = b
-25/5 - 6/5 = b
-31/5 = b
Plug this into your standard equation.
y = -1/5x - 31/5
This equation is parallel to your given equation (y = -1/5x + 5) and contains point (-6, -5)
Hope this helps!
what is the approximate volume?
Answer:
A. 524m^3
Step-by-step explanation:
Formula for volume of sphere:
[tex]V = \frac{4}{3} \pi r^3[/tex]
If we use 3.14 for pi, we get:
V = 4/3(3.14)(5)^3
V = 523.33