Please help im new and i need help!
Please help me if you onlw the answers please!!
Answers
9514 1404 393
Answer:
a) 2.038 seconds
b) 5.918 meters
c) 1.076 seconds
Step-by-step explanation:
For the purpose of answering these questions, it is convenient to put the given equation into vertex form.
h = -4.9t² +9.2t +1.6
= -4.9(t² -(9.2/4.9)t) +1.6
= -4.9(t² -(9.2/4.9)t +(4.6/4.9)²) +1.6 +4.9(4.6/4.9)²
= -4.9(t -46/49)² +290/49
__
a) To find h = 0, we solve ...
0 = -4.9(t -46/49)² +290/49
290/240.1 = (t -46/49)² . . . . subtract 290/49 and divide by -4.9
√(2900/2401) +46/49 = t ≈ 2.0378 . . . . seconds
The ball takes about 2.038 seconds to fall to the ground.
__
b) The maximum height is the h value at the vertex of the function. It is the value of h when the squared term is zero:
290/49 m ≈ 5.918 m
The maximum height of the ball is about 5.918 m.
__
c) We want to find t for h ≥ 4.5.
h ≥ 4.5
-4.9(t -46/49)² +290/49 ≥ 4.5
Subtracting 290/49 and dividing by -4.9, we have ...
(t -46/49)² ≥ 695/2401
Taking the square root, and adding 46/49, we find the time interval to be ...
-√(695/2401) +46/49 ≤ t ≤ √(695/2401) +46/49
The difference between the interval end points is the time above 4.5 meters. That difference is ...
2√(695/2401) ≈ 1.076 . . . . seconds
The ball is at or above 4.5 meters for about 1.076 seconds.
__
I like a graphing calculator for its ability to answer these questions quickly and easily. The essentials for answering this question involve typing a couple of equations and highlighting a few points on the graph.
_____
Additional comment
I have a preference for "exact" answers where possible, so have used fractions, rather than their rounded decimal equivalents. The calculator I use deals with these fairly nicely. Unfortunately, the mess of numbers can tend to obscure the working.
"Vertex form" for a quadratic is ...
y = a(x -h)² +k . . . . where the vertex is (h, k) and 'a' is a vertical scale factor.
In the above, we have 'a' = -4.9, and (h, k) = (46/49, 290/49) ≈ (0.939, 5.918)
Related Questions
It takes 12 people 15 hours to complete and certain job.how many hours would it take 18 people, working at the same rate to complete 2/5 of the same job?
Answers
Answer:
2 Hours
Step-by-step explanation:
Required man hours to complete the full job = 12 *15
=180 Man hours
Required man hours to complete the 2/5 of the job = 180/5
= 36 Man hours
if 18 peoples are working,
required hours to complete the 2/5 of the job = 36 /18
= 2 hours
hello,can you answer this question asap thxs
Answers
9514 1404 393
Answer:
111 1/9 pounds
Step-by-step explanation:
The given relationship is ...
delivered = ground × (1 -10%)
Then ...
ground = delivered/0.90 = 100 lb/0.90 = 111 1/9 lb
It is necessary to grind 111 1/9 pounds of grain to have exactly 100 lb after a 10% payment.
If two bags of popcorn and three drinks cost $14,
and four bags of popcorn and one drink costs
$18, how much does a drink cost?
Answers
Answer:
2dollars
Step-by-step explanation:
one bag of popcorn is 4 dollars so 4 bags of popcorn is 16 plus 1 drink which is 2 dollars equal 18.
The cost of each popcorn is $4 and the cost of each drink will be $2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18.
Let the cost of each popcorn be 'x' and the cost of each drink be 'y'. Then the equations are given as,
2x + 3y = 14 ...1
4x + y = 18 ...2
From equations 1 and 2, then we have
2x + 3(18 - 4x) = 14
2x + 54 - 12x = 14
10x = 40
x = $4
Then the value of the variable 'y' is calculated as,
y = 18 - 4(4)
y = 18 - 16
y = $2
The cost of each popcorn is $4 and the cost of each drink will be $2.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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What are the possible degrees for the polynomial function?
Answers
Answer: Option 1
Degrees of 6 or greater
Answered by Gauthmath must click thanks and mark brainliest
The length AB of a rectangle ABCD is 8cm and its diagonal BD and measures 10 cm Find its breadth BC
Answers
please help me with geometry
Answers
Answer:
x = 8
Step-by-step explanation:
Set 2x + 3 = 3x - 5
Solve for x
x = 8
Figure
А A
Figure B
How many squar
w many square are in
tigne
this
Answers
Answer:
7 square are 0resent on aaaaaa
y=0.0111x+2.7617 what is the x axis
Answers
Step-by-step explanation:
here's the answer to your question
The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 42 ft, find its area.
Answers
Answer:
A = 108 feet²
Step-by-step explanation:
Let the width is b.
Length = 3+b
Perimeter of the rectangle, P = 42 ft
Perimeter = 2(l+b)
42 = 2 (3+b+b)
21 = (3+2b)
21-3 = 2b
18 = 2b
b = 9 feet
Length, l = 3+9 = 12 feet
Area of the rectangle,
A = lb
So,
A = 12 × 9
A = 108 feet²
So, the area of the rectangle is 108 feet².
Find the perimeter of the following quadrilateral.
Write your answer as a mixed number in simplest form. Be sure to include the correct unit in your answer.
Answers
Answer:
7 3/4ft
Next time when a question ask you to find the perimeter just add all the length of each sizes
Which is the answer choice to this question?
Answers
Answer:
D
Step-by-step explanation:
Graph it
Write the expression as a trinomial: (y+7)(y-11). You want to make the expression into trynomial form, not simplified it
Answers
Answer:
y² - 4y - 77
Step-by-step explanation:
(y+7)(y-11)
y² - 11y + 7y - 77
y² - 4y - 77
Find the surface area of the rectangular prism below.
Answers
Answer:
Option B
Step-by-step explanation:
This is the formula :
2(wl+hl+hw)
Step 1 : Take the length, width, and height and substitute the values in.
The required surface area of the rectangular prism is 461.02 square meters (m²).
What is surface area?Surface area is defined as the measure of a region or surface is called as surface area.
The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
Substituting the given values, we get:
Surface area = 2(12.3m x 4.3m) + 2(12.3m x 10.7m) + 2(4.3m x 10.7m)
Simplifying the expression gives:
Surface area = 461.02m²
Therefore, the surface area of the rectangular prism is 461.02 square meters (m²).
Learn more about the surface area here: https://brainly.com/question/2835293
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A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling an 8.
The probability of rolling an 8 is:
Answers
This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.
Side note: this 12-sided die is known as a dodecahedron.
Two professors are applying for grants. Professor Jane has a probability of 0.64 of being funded. Professor Joe has probability 0.28 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.
Required:
a. What is the probability that both professors get their grantsfunded?
b. What is the probability that at least one of the professors will befunded?
c. What is the probability that Professor Jane is funded but ProfessorJoe is not?
d. Given at least one of the professors is funded, what is theprobability that Professor Jane is funded but Professor Joe is not?
Answers
Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. Suppose that a husband and wife are both carriers and that they have four children. If the outcomes of the four pregnancies are mutually independent, what are the probabilities of the following events?
a. All three children will develop Tay–Sachs disease.
b. Only one child will develop Tay–Sachs disease.
c. The third child will develop Tay–Sachs disease, given that the first two did not.
Answers
Lo siento mucho, necesito los puntos porque estoy en una prueba.
how to solve the matrix equation for matrix Y.simplify all elements
[tex]Y\left[\begin{array}{ccc}-1&-4\\0&-5\\\end{array}\right] = \left[\begin{array}{ccc}5&-5\\8&8\\\end{array}\right][/tex]
Answers
Given YA = B, you can solve for Y by multiplying by A ⁻¹ on the right (on both sides of the equation). So we have
YA = B ==> (YA) A ⁻¹ = BA ⁻¹ ==> Y (AA ⁻¹) = BA ⁻¹ ==> Y = BA ⁻¹
provided that the inverse of A exists. In this case, det(A) = 5 ≠ 0, so the inverse does exist, and
[tex]A=\begin{bmatrix}-1&-4\\0&-5\end{bmatrix} \implies A^{-1}=\dfrac1{\det(A)}\begin{bmatrix}-5&0\\4&-1\end{bmatrix} = \begin{bmatrix}-1&0\\\frac45&-\frac15\end{bmatrix}[/tex]
Then
[tex]Y=\begin{bmatrix}5&-5\\8&-8\end{bmatrix}A^{-1} = \begin{bmatrix}-5&5\\-8&\frac{24}5\end{bmatrix}[/tex]
Plz help on this question
Answers
Answer:
B
Step-by-step explanation:
Because it'll be 1²+2×1-3=0
And -3²+2(-3)-3=9-6-3=0
So it's impossible
help will give brainliest asap!!
Answers
Answer:
C.
Don't have time for explanation... just trust me
Please answer all of these
Answers
Answer:
1a 300
b 180
c 330
d 1470
e 180
f 7344
Step-by-step explanation:
Please help please reply ASAP
Answers
Answer:
Option C. 6.5
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle B = 80°
Side opposite B (b) = 10
Angle C = 40°
Side opposite C (c) =?
We can obtain the value of c by using the sine rule as illustrated below:
b / Sine B = c / Sine C
10 / Sine 80 = c / Sine 40
Cross multiply
c × Sine 80 = 10 × Sine 40
Divide both side by Sine 80
c = (10 × Sine 40) / Sine 80
c = 6.5
Thus, the value of c is 6.5
Please help me on this
Answers
Answer:
gshwhsye
Step-by-step explanation:
gshshhshshshjsjsjsj
Hannah's suitcase has the following dimensions.
length: 27 inches
width: 21 inches
depth: 14 inches
What is the volume of Hannah's suitcase in cubic inches?
Answers
Answer:7938 inches square
Step-by-step explanation:
multiply everything
Answer:
7938
Step-by-step explanation:
A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate, at most, by 4 miles per gallon. Which of the following absolute value inequalities matches this scenario? Question 23 options: |x + 18| ≤ 4 |x – 18| ≤ 4 |x – 4| > 18 |x + 18| > 4
Answers
Answer:
the correct answer is |x – 18| ≤ 4
just took the test
Step-by-step explanation:
Design specifications require that a key dimension on a product measure 100 /- 10 units. A process being considered for producing this product has a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability
Answers
Answer:
0.8333
Step-by-step explanation:
Given :
Mean, X = 100
Lower Specification Limit, LSL = 100 - 10 = 90
Upper Specification Limit, USL = 100 + 10 = 110
Standard Deviation, σ = 4
The process capability index, Cpk;
Cpk = Min[(X - LSL) / 3σ; (USL - X) /3σ]
Cpk = Min[(100 - 90) / 12 ; (110 - 100 ) /12]
Cpk = Min [0.8333 ; 0.8333]
Hence, Cpk = 0.8333
I need help please guys thank you
Answers
Answer:
Option A, the parent function has been translated up
Option B, the parent function has been compressed
Option C, the parent function has been translated to the right
Please help i need the answer asap!!!
if you know the answer please give it to me as soon as you can!!
Answers
Answer:
35 cm
Step-by-step explanation:
You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.
a² = b² + c² - 2bc cos A
a² = (36²) + (52²) - 2(36)(52) cos 42°
a² = (1296) + (2704) - (3744)(0.7431448255)
a² = (4000) - (2782)
a² = 1218
a = ✓1218
a = 34.9 cm
Parallel lines: Solve for Y
Answers
Answer:
35
Step-by-step explanation:
Since they are the same angle in the corresponding parallel line, they will equal eachother.
2y = 70
---- ----
2 2
y = 35
The answer will be 35.
Step-by-step explanation:
Well, we know that when we have parallel lines, by the alternating interior angle theorem, we know that alternate angles are congruent.
So, 2y = 70 makes y = 35.
The length of a rectangle garden plot is 3 metres greater than its
width.The area of the plot is 154 square metres.What is the width of the garden?
Answers
Answer: width = 11 m
Concept:
Here, we need to understand how to find the area of a rectangle.
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.
A = w · l
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = w + 3
A = 154 m²
Given formula
A = w · l
Substitute values into the formula
154 = w · (w + 3)
Expand Parentheses (Distributive property)
154 = w² + 3w
Subtract 154 on both sides
154 - 154 = w² + 3w - 154
0 = w² + 3w - 154
Solve for the quadratic equation
(w - 11) (w + 14) = 0
w = 11 or w = -14 (Neglected because length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions
Consider possible daily uses for the Pythagorean Theorem. For what types of careers would knowledge of this theorem be useful or necessary? For each career, include an example of a use for a2 + b2 = c2.
Answers
For engineering, it would be very useful to know Pythagorean theorem. You can use it to measure the tension in each ropes.
