A ball is thrown from a height of meters with an initial downward velocity of . The ball's height (in meters) after seconds is given by the following.
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
A ball is thrown with an initial downward velocity as it is dropped from a height of meters. 2.19 seconds pass from the moment the ball is tossed and the time it strikes the ground.
This is further explained below.
What is the time?The ball's height doesn't often alter as it descends to the ground. As a consequence, the function will always have a value of 0 for the y-coordinate anytime it crosses the x-axis.
When y equals 0, it means that the ball has contacted the ground. You may use the formula for quadratic equations to factor h(t) = -542 - 5t + 35.
Because of this, a=-5, b=-5, and c=35.
t=2.19 or t=-3.19 using the quadratic formula
You end up with the zeros -3.19 and 2.19 when you factor it in. The only two mathematical quantities that can never, ever, ever be negative are time and length or distance.
Inferring that the ball reaches its destination 2.19 seconds after being thrown is what we can infer from this data.
Thus, 2.19 seconds is the right response.
Read more about time
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Related Questions
the table shows the scores of 20 people who took a paramedic licensing test. Find the mean and standard deviation of the data. find the standard deviation for the follow set: (the mean for the data has been found and equals 76). [round the standard deviation to three decimal places as needed]
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mean=(71*5+72*1+75*5+79*6+80*2+84*1)/(5+1+5+6+2+1)
mean=1,520/20
mean=76Part 2
Find out the deviation standard
For each value of the score, subtract the mean, square the result and multiply by the frequency
so
(71-76)^2=25*5=125
(72-76)^2=16*1=16
(75-76)^2=1*5=5
(79-76)^2=9*6=54
(80-76)^2=16*2=32
(84-76)^2=64*1=64
Adds the numbers
(125+16+5+54+32+64)=296
Divide by (n-1)
n=20
so
296/(20-1)=296/19
the deviation standard is the square root of 296/19
therefore
deviation standard=3.947Given the dimensions of the frustum, find the volume in terms of pi.
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We are asked to find the volume of the given frustum.
Recall that the volume of a frustum is given by
[tex]V=\frac{1}{3}\cdot h\cdot(B_1+B_2+\sqrt[]{B_1B_2})[/tex]Where h is the height, B₁ is the lower area and B₂ is the upper base area of the frustum.
The lower base area (B₁) is given by
[tex]B_1=\pi r^2_1=\pi(21)^2=441\pi\: in^2[/tex]The upper base area (B₂) is given by
[tex]B_2=\pi r^2_2=\pi(7)^2=49\pi\: in^2[/tex]Finally, substitute all the values into the above volume formula
[tex]\begin{gathered} V=\frac{1}{3}\cdot h\cdot(B_1+B_2+\sqrt[]{B_1B_2}) \\ V=\frac{1}{3}\cdot24\cdot(441\pi+49\pi_{}+\sqrt[]{441\pi\cdot49\pi}) \\ V=\frac{1}{3}\cdot24\cdot(441\pi+49\pi_{}+147\pi) \\ V=\frac{1}{3}\cdot24\cdot(637\pi) \\ V=\frac{1}{3}\cdot15288\pi \\ V=5096\pi\: in^3 \end{gathered}[/tex]Therefore, the volume of the frustum is 5096π cubic inches.
solving by Subtitition
Answers
y = -2x - 14
y = 6x + 18
Substitution
6x + 18 = -2x - 14
6x + 2x = -14 - 18
8x = -32
x = -32/8
x = -4
Solve for y
y = 6(-4) + 18
y = -24 + 18
y = -6
Result
x = -4 y = -6
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. sin 34° = ____
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Answer:
sin 34° = 0.56
Explanation:
Using the calculator, we get that:
sin 34° = 0.56
what is the value of c 4x^3+13x^2-5x+c
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Answer:
c - 5 x + 13 x ² + 4 x ³
Step-by-step explanation:
First, we have to evaluate the function at x = 0. Like " f (x) = 4 x ³ + 13 x ² - 5 x + c.
Then we have to differentiate like " f (0) = c.
After that, we evaluate the function again at x = 0. Like this "f ' (x) = 12 x ² + 26 x - 5.
Then, we differentiate again like " f ' (0) = -5
We have to keep repeating and evaluate the function at x = 0 like this " f " (x) = 24 x + 26"
We have to repeat and differentiate like this " f " (0) = 26.
Now, we substitute x = 0, like this "f ⁽³⁾(x) = 24
After that, we have to list the values we found "f ⁽³⁾(x) = 24"
Use the definition "f (0) = c , f ' (0) = - 5 , f " (0) = 26 , f ⁽³⁾ (0) = 24
Simplify like "c - 5 x + 26 x x ² + 24
--- ---
2 ! 3 ! x x ³
Then, your solution is c - 5 x + 13 x ² + 4 x ³!
Hope this helps! :)
The question and answer options are in the image below
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1) Looking at the graph, we can see that the length of MN is 3 units.
2) Notice that according to the question, each unit represents 3", so MN is 9" inches long.
2.2) Since the scale factor is greater than 1, (it's 3) then we'll have an image M'N' thrice larger than the Pre-image, so we can write out the following:
[tex]\begin{gathered} MN=9in \\ k=3 \\ M^{\prime}N^{\prime}=27in \end{gathered}[/tex]3) Hence, the answer is M'N' is 27 inches long
Choose Yes or No to tell whether the pairs of angles are congruent.
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From the diagram
Correspond angles are congruent YES
Alternate interior angles are congruent YES
Same side interior angles are congruent YES
What is a collection of fact or information?VariablesDataQuantitativeQualitative
Answers
How to simplify this equation that i an trying to solve
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we have the expression
[tex]\cot (\theta)\cdot\sec (\theta)[/tex]Remember that
[tex]\cot (\theta)=\frac{\cos(\theta)}{\sin(\theta)}[/tex]and
[tex]\sec (\theta)=\frac{1}{\cos(\theta)}[/tex]Substitute given values in the original expression
[tex]\frac{\cos(\theta)}{\sin(\theta)}_{}\cdot\frac{1}{\cos(\theta)}=\frac{1}{\sin(\theta)}=\csc (\theta)[/tex]therefore
the answer is csc(theta)Early this morning, I was in the teacher’s lounge early. In the lounge, there are vending machines--one that sells only bottled water and one that sells different flavors of juice. Coincidentally, the person who services those machines was also there making his morning delivery. When I entered the room, he was filling the water machine. Wow, was there a lot of water in that machine! I asked the man how many bottles the machine could hold, and he told me 156! Next to the machine, I noticed he had a cart with the water bottles on it. The bottles were in six-packs, and he had to tear the bottles out of their six-pack holders to put them in the machine. That got me thinking. I wonder how many six-packs the machine will hold?
Answers
We have from the question that:
1. The machine can hold 156 water bottles.
2. The bottles were in six-packs.
How many six-packs the machine will hold?
In this case, we need to divide the 156 water bottles into 6 to have the six-pack holders.
Then, we have that:
[tex]s=\frac{156}{6}\Rightarrow s=26[/tex]Therefore, the machine will hold 26 six-packs.
We can check this if we multiply 26 * 6 = 156 water bottles.
Find the 10thterm of the following geometric sequence,1, 3,9, 27, ...
Answers
Given:
1, 3,9, 27, ...
To determine the 10th of the given geometric sequence, we use the formula:
[tex]a_n=a_1\cdot r^{n-1}[/tex]where:
an=nth term of the sequence
r=common ratio
a1=first term of the sequence
We can get the common ratio by observing that:
Based on the given geometric sequence, we let:
n= 10
a1=1
r=3
We plug in what we know:
[tex]\begin{gathered} a_n=a_1\cdot r^{n-1} \\ a_{10}=1\cdot(3)^{10-1} \\ \text{Simplify} \\ a_{10}=1(3)^9 \\ a_{10}=19683 \end{gathered}[/tex]Therefore, the 10th term of the given geometric sequence is 19683.
What are two advantages of displaying data in a chart? O A. It allows the data to be organized in meaningful ways. B. It makes it easier to see and work with the data. C. It increases the number of words needed to describe the data. D. It makes it harder to make sense of the data.
Answers
Charts are used to represet data.
There are different types of charts being used, pie chart, bar chart and so on.
In a chart, the datas are visualized in an easier way rather than expressing in long descriptions.
It makes it easier to see and work with the data.
Therefore Answers A and B is correct
Holly is planning a high school reunion a local hotel rents a hall for 300 and charges 65 per guest Write a linear equation. Total cost y X for number of guest
Answers
ANSWER:
y=300+65x
STEP-BY-STEP EXPLANATION:
We have that the total cost, is given of a fixed cost and a variable cost, just like this:
let y be the total cost
let x be the number of guest
[tex]y=300+65x[/tex]Find the distance between (-9,-8) and (5,1) rounded to the nearest tenth.Select One Answer:A. 4.1B. 18.0C. 8.1D. 16.6
Answers
Answer:
Explanation:
The formula for calculating the distance between two points is expressed as;
[tex]\sqrt[\square]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Given the coordinates (-9, -8) and (5, 1)
[tex]\begin{gathered} D\text{ = }\sqrt[\square]{(5-(-9))^2+(1-(-8))^2} \\ D\text{ = }\sqrt[\square]{(5+9)^2+(1+8)^2} \\ D=\sqrt[\square]{14^2+9^2} \\ D\text{ = }\sqrt[\square]{196+81} \\ D\text{ = }\sqrt[\square]{277} \\ D\text{ = 16.6} \end{gathered}[/tex]Hence the distance bet
If there is more than one intercept , separate them with commas I only need the VERTEX , I have the x intercept
Answers
vertex is (-2, -16)
Explanation:[tex]y=x^2+\text{ 4x - 12}[/tex]Vertex is given as (h, k)
To get the vertex, we will apply the formula:
h = -b/2a
k = f(-b/2a)
[tex]\begin{gathered} \text{From the equation:} \\ a\text{ = 1, b = 4, c = -12} \\ h\text{ = }\frac{-b}{2a}\text{ = }\frac{-4}{2(1)} \\ h\text{ = -4/2} \\ h\text{ = -2} \end{gathered}[/tex][tex]\begin{gathered} k\text{ = f(-b/2a)} \\ y\text{ = f(x)} \\ f(x)=x^2+4x\text{ - 12} \\ f(\frac{-b}{2a})\text{ = f(-2) } \\ \text{ As -b/2a = -2, we will be substituting x in the function with -2 } \\ \\ f(-2)=(-2)^2+4(-2)\text{- 12} \\ f(-2)\text{ = 4 - 8 - 12} \\ \text{f(-2) = -16} \\ k\text{ = -16} \end{gathered}[/tex]Hence, the vertex (h, k) is (-2, -16)
In Fairbanks, Alaska, the temperature one day was –18° F. On the same day,83 degrees higher in Honolulu, Hawaii. What was the temperature in Honolulu, on that day?
Answers
Given in the question that the temperatures in Alaska was : -18° F
In Honolulu the same day, the temperature was 83° higher .
To get the temperature in Honolulu, you perform addition as:
-18° F + 83° F = 65°F
Answer
A. 65
graph the following line passing through -1 and 4 whose slope is m equals 1/4
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Answer:
The point-slope form of the equation of a line is generally given as;
[tex]y-y_1=m(x-x_1)[/tex]From the question, we're told that the slope, m, is 1/4 and the line passes through -1 and 4, so our x1 = -1 and y1 = 4, let's substitute these values into the above equation to determine the equation of the line;
[tex]\begin{gathered} y-4=\frac{1}{4}\lbrack x-(-1)\rbrack \\ y-4=\frac{1}{4}(x+1) \\ 4y-16=x+1 \\ 4y=x+17 \\ y=\frac{1}{4}x+\frac{17}{4} \end{gathered}[/tex]So the line will have a y-intercept at 17/4. See below the graph of the line;
What is the number of terms in this expression? m/5+4×5
Answers
m / 5 + 4- 6
using the order of operation
PEMDAS
m/5 + 4 - 6
division first
m/ 5 + ( 4 - 6)
m/5 + (-2)
= m/5 - 2
find the lcm
the lcm is 5
m - 10 / 5
The answer is m - 10 / 5
a parking lot is constructed in the shape of a parallelogram if the base is 200 in the height is 120 ft and a diagonal with its 140 what is the area of the parking lot
Answers
We can draw the following picture:
then, we can see that the parallelogram consists in 2 equal triangles:
The area of a triangle is
[tex]A_T=\frac{b\cdot h}{2}[/tex]By substituting the given values into the area formula, we get
[tex]\begin{gathered} \\ A_T=\frac{200\cdot120}{2} \\ A_T=\frac{24000}{2} \\ A_T=12000ft^2 \end{gathered}[/tex]Therefore, the area of the parallelogram is twice the area of one triangle:
[tex]A_{\text{parallelogram}}=2\cdot A_T[/tex]which gives:
[tex]\begin{gathered} A_{\text{parallelogram}}=2\cdot12000 \\ A_{\text{parallelogram}}=24000ft^2 \end{gathered}[/tex]that is, the answer is 24000 ft^2
please help me ASAP!!!!!!!
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When you study the Domain of a quatient of two polynomial functions, have in mind that you need to worry about the zeros in the function that goes in the DENOMINATOR.
In your case, the only zero you fear is that coming from the function:
g(x) = x - 8
and this function has a zero at the point x = 8
Then the quotient f/g is NOT defined at x=8 (meaning that x = 8 is NOT in the Domain of the quotient f/g.
Then the only correct answer is: The second one that states that the Domain is All Real numbers except for x = 8 because the denominator is ZERO.
The graph below represents the value of a car, inthousands of dollars, with respect to the number ofyears since it was purchased.Based on the graph, what was the initial value of thecar (in thousands of dollars)?A.0B.10C.12D.15
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we can look at the graph and observe that
y axis= value in thousands of dollars
x axis= time in years
the car was bought at the price of 12 thousands of dollars, and after that the value was going down
You earn $900 per week and earn a 5% commission on sales each week. What are the possible amounts (in dollars)that you must sell each week to earn at least $1050 per week? Write a linear inequality and solve.
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$3000 or more
Explanation:Amount earned weekly = $900
let the number of sales = y
Amount in commission per sales = 5% = 0.05
At least $1050 means the minimum amount of sales per week:
It is represented as ≥ 1050
The linear inequality:
Amount earned weekly + Amount in commission per sales(number of sales) ≥ 1050
900 + 0.05(y) ≥ 1050
900 + 0.05y ≥ 1050
subtract 900 from both sides:
900 - 900 + 0.05y ≥ 1050 - 900
0.05y ≥ 150
divide both sides by 0.05:
0.05y/0.05 ≥ 150/0.05
y ≥ 3000
Hence, the possible amounts (in dollars) that you must sell each week to earn at least $1050 per week is $3000 or more (atleast $3000)
The accompanying diagram shows two cables ofequal length supporting a pole. Both cables are 14meters long, and they are anchored to points in theground that are 14 meters apart.14 mPole14 m14 mWhat is the exact height of the pole, in meters?Your answer
Answers
As shown in the figure:
The two cables and the ground like as an equilateral triangle
The length of each side = 14 m
The pole is perpendicular to the ground
So, there are two right angle triangle
From the left side triangle:
hypotenuse = 14 m
And the length from the cable to the pole = 14/2 = 7 m
Let the height of the pole = h
Using Pythagorean theorem:
[tex]\begin{gathered} 14^2=7^2+h^2 \\ h^2=14^2-7^2=196-49 \\ h^2=147 \\ h=\sqrt[]{147}=\sqrt[]{3\cdot49}=7\sqrt[]{3} \end{gathered}[/tex]So, the height of the pole = 7√3 meters.
Type the correct answer in each box. Use numerals instead of words.Consider the systems of equations below.System A hasSystem B hasSystem Chas
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Answer
Explanation
To solve the systems, we can use the method of substitution, where in one equation we isolate for one variable, replace the expression obtained in the other equation, and solve for that variable, and finally replace the value obtained in the other equation. Below we will see this procedure.
• System A
Given
[tex][/tex]11 more than nine times the amount of 10
Answers
This is a word problem and our approach is to make mathematical sense of it as much as possible.
[tex]11+9\times10[/tex]represents 11 more than 9 times of 10. We'll equally use BODMAS.
[tex]11+(9\times10)=11+90=101[/tex]ANSWER = 101
Select all of the following that can be a counterexample for the statement below.If x is an integer, then x + 2> 7
Answers
Answer: -2, 0, 3 and 4
Given that x is an integer
x + 2 > 7
Firstly, isolate x
x > 7 - 2
x > 5
This implies that x is greater than 5 and x could be 6 and 9
The counter examples: This implies that some options does not support the conditions
Since x > 5
The counter examples are -2, 0, 3, and 4
Lucia already knew 1 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. After how many weeks of culinary school will Lucia know a total of 40 appetizer recipes?
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w e can writhe a equation
[tex]y=3x+1[/tex]where y is the total of recipes and x the weeks
y=40 according to the text
so, we can replace y and solve x to know the weeks
[tex]\begin{gathered} 40=3x+1 \\ 40-1=3x \\ x=\frac{39}{3} \\ x=13 \end{gathered}[/tex]so she will know 40 appetizer recipes on 13 weeks
Problem 1. i point) Find the r-coordinate of the absolute maximum for the function f(2) 3+8ln(z) =>0. I coordinate of absolute maximum =
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Explanation
Step 1
[tex]f(x)=\frac{3+8\ln (x)}{x}[/tex]Step
derivate
[tex]undefined[/tex]For the dilation, is the image J'K'L' M' an enlargement or reduction of JKLM? What is the scale factor?yAJK'K-2OM-3The image is a(n)The scale factor n =M'24L'
Answers
Solution
The image below contain the solution
Brief Explanation
Obviously, the image is a reduction
The scale factor is
[tex]\frac{1}{2}=0.5[/tex]Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the new box be?
Answers
To get the scale factor of how much bigger the new box be, we let the dimensions of the smaller box equal to 1, and then get the volume.
[tex]\begin{gathered} \text{Smaller box Volume} \\ l=1 \\ w=1 \\ h=1 \\ V_{\text{small box}}=l\times w\times h \\ V_{\text{small box}}=1\times1\times1 \\ V_{\text{small box}}=1\text{ cubic units} \end{gathered}[/tex]Then we multiply all the dimensions with four, and get the volume, then divide it by the volume of the smaller box.
[tex]\begin{gathered} \text{Bigger box} \\ l=1\times4=4 \\ w=1\times4=4 \\ h=1\times4=4 \\ V_{\text{big box}}=4\times4\times4 \\ V_{\text{big box}}=64\text{ cubic units} \\ \\ \text{Divide it by the original box} \\ 64\div1=64 \end{gathered}[/tex]Therefore, the volume of the new box will be 64 times bigger.
