Answer:
Answer below
Step-by-step explanation:
Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.
The equation of the path of a rocket is given that is y= x^2 + 153x + 98
We need to determine the time that the rocket will hit the ground.
Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.
Therefore, the value of y is 0.
Thus, -16x^2 +153x + 98 = 0
Now, the formula for finding the roots of the quadratic equation
ax^2 +bx +c = 0 is given as:
[tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x^2 = \frac{-b -\sqrt{b^2 -4ac} }{2a}[/tex]
Comparing the expression with the standard form of the equation.
a = -16b = 153 and c = 98
By applying the formula there are two values are come that is,
x^1 = -0.602555
x^2 = 10.1651
Time can not be negative from any perspective.
Hence, the correct answer is 10.16 seconds.
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(Hope this helps can I pls have brainlist (crown)☺️)
Which expression is equivalent to (6x + 12)?
Answer:
2(3x + 6)
Step-by-step explanation:
Express sin UU as a fraction in simplest terms.
S
T
U
24
18
Answer: \sin U =sinU=
The expression of sinU as a fraction is 12/13
Find the diagram attached.
To get the fraction represented by sinU, we will use the SOH CA TOA identity.
From the diagram;
Hypotenuse = SU = 13Opposite = ST = 12 (angle opposite to m<U)Since sin theta = opp/hyp
SinU = ST/SU
SinU = 12/13
Hence the expression of sinU as a fraction is 12/13
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
NEED NOW PLEASE.......
Answer:
Integers
Step-by-step explanation:
Integers are the set of whole numbers and their opposites.
If △CFE≅△PTR, complete each of the following statements:
CE¯¯¯¯¯¯¯¯ ≅
TR¯¯¯¯¯¯¯ ≅
∠P ≅∠
∠F ≅∠
△FEC ≅△
△RPT ≅△
Based on the definition of congruent triangles, the statements will be completed as follows:
CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECFRecall the following about Congruent Triangles:
The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.Given that △CFE≅△PTR, thus:
CE corresponds to PR, therefore CE ≅ PRFE corresponds to TR, therefore FE ≅ TRCF corresponds to PT, therefore CF ≅ PT∠P corresponds to ∠C, therefore ∠P ≅ ∠C∠T corresponds to ∠F, therefore ∠T ≅ ∠F∠R corresponds to ∠E, therefore ∠R ≅ ∠EThus, based on the definition of congruent triangles, the statements will be completed as follows:
CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECFLearn more about congruent triangles on:]
https://brainly.com/question/8876876
2x2 +5x+8
Given x 3-2, the expression
x+2.
is equivalent to
Answer:
x=-1
Step-by-step explanation:
so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!
The expression equivalent to the given expression is (2x+1)+6/(x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x²+5x+8)/(x+2)
From the given options,
Simplifying (2x+1)+6/(x+2), we get,
= (2x+1)(x+2)+6/(x+2
= (2x²+4x+x+6+2)/(x+2)
= (2x²+5x+8)/(x+2)
Since, we get the main expression by solving the option expression,
Hence, the expression equivalent to the given expression is (2x+1)+6/(x+2)
For more references on expressions, click;
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1. As a diver descends, the pressure in the water
a
increases by about 0.455 pound per square
inch
(psi) for each foot of descent. This can be
modeled by the equation P = 0.455d + 14.3,
where P is the pressure in pounds per square
inch and d is the depth in feet.
Use a graphing calculator to graph the model.
(a)
Sketch the graph showing d (horizontal axis
representing depth )and P (vertical axis
representing the pressure).
Plotting the graph using geogebra online graphing tool and attaching.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let P represent the pressure in pounds and d represent the depth in feet.
Given the equation:
P = 0.455d + 14.3
Plotting the graph using geogebra online graphing tool and attaching.
Find out more at: https://brainly.com/question/13911928
3. A recipe for banana cakes calls for 6 cups of mashed banana to 9 cups of flour. How many cups of
flour per cup of mashed banana does the recipe require?
Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
Help me with this question thanks so much
pls help due tonight
Answer:
-32
Step-by-step explanation:
-32x + 4y = 12
4y = 12 + 32x
/4 /4 /4
y = 3 + 8x
help. i need itttttt
Answer:
In a parallelogram, opposite sides are the same length. If PR = ST, then the same would happen for the other sides.
Step-by-step explanation:
Find the equation of the line
Answer:
Y = 4x - 9
Step-by-step explanation:
Hope this helps! If it’s wrong I’m really sorry.
Pls give brainliest!
Answer:
...
Step-by-step explanation:
Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8
Answer:
No solution
Step-by-step explanation:
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.
Sammy's rabbit can eat 70 pounds of food in 80 days. Part A: At that same rate, how much food will Sammy need to feed his rabbit in 24 days? Part B: How long will it take his rabbit to eat 87.5 pounds of food? Part C: Suppose Sammy buys his rabbit a companion. Together, the rabbits need can eat 95 pounds of food in 65 days. Approximately how much food will Sammy need to buy in order to feed both rabbits inl year ( 365 daya)? Round to the nearest tenth.
Part A
The rabbit can eat 70 pounds of food in 80 days. The unit rate is 70/80 = 0.875 pounds of food per day. Multiply this with the 24 days to get the total amount eaten over that timespan.
24*0.875 = 21
Answer: 21 pounds of food=========================================================
Part B
x = number of days
The rabbit eats at a unit rate of 0.875 pounds per day. After x number of days pass by, the rabbit has eaten a total of 0.875x pounds of food. Set this equal to 87.5 and solve for x.
0.875x = 87.5
x = (87.5)/(0.875)
x = 100
Answer: 100 days=========================================================
Part C
This is is similar to part A, just with different numbers. We could follow those steps to get the answer, but I'll go another route.
Instead, I'll use a proportion to solve.
(95 pounds)/(65 days) = (x pounds)/(365 days)
95/65 = x/365
95*365 = 65*x
34675 = 65x
65x = 34675
x = 34675/65
x = 533.461538
x = 533.5
Answer: 533.5 pounds of foodFind the midpoint of Segment AB if A (-5, 6) and B(1.-3).
Midpoint Formula: (X: + X2, Y + y2)
2 2
Answer:
(-2, 1.5)
Step-by-step explanation:
x-coordinate = ½(1 - 5) = -2
y-coordinate = ½(-3 + 6) = 1.5
Which equation represents this statement?
The product of 1/5 and a number is equal to 1/1 2.
1/5n=1/1 2
1/5÷n=1/1 2
1/5−n=1/1 2
1/5+n=1/1 2
Answer:
answer is B
Step-by-step explanation:
William is trying to pay off his credit card bill. He currently owes $184 on his bill without the interest charge from the credit card company. If the company charges 8% interest on his credit card bill, how much will William need to pay the credit card company so that he will have no payments?
Answer:
$198.72
Step-by-step explanation:
A raised flower bed is 40 feet long, 7 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds.
Area = length x width
Area = 40 x 7 = 280 square feet
Volume = length x width x depth
Volume = 40 x 7 x 1.2 = 336 cubic feet
Find the value of x.
950°
1280°
60°
x°
Answer:
x=77
Step-by-step explanation:
128+95+60+x=360
283+x=360
x=77
is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function
Answer:
No
Step-by-step explanation:
No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.
Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
Find X. Enter a number for your answer. Do not type the symbol for degree or the
word "degrees"
Use angle sum property (the 3 angles in a triangle sum up to 180°).
2x + x + 54 = 180
3x + 54 = 180
3x = 180 - 54
3x = 126
x = 126/3
x = 42
_____
Hope it helps ⚜
x = 42
Explanation:-We know that,Angles of a triangle adds to 180°
So,=> 2x + x + 54 = 180
=> 3x = 180 – 54
=> 3x = 126
=> x = 126/3
=> x = 42
(x = 42° ; 2x = 84°)
3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition
tom's snowman has to increase by anything greater than 4.4 ft
Answer:
4.5 feet
Step-by-step explanation:
9+4.5=13.5
13.5>13.4
2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
answer part B and yeaa don’t mind my answers
Answer:
you are correct
Step-by-step explanation:
Work out the area of the shaded shape.
Answer:
61 m²
Step-by-step explanation:
Find the area of the whole rectangle and subtract the part that is cut off
Area = [tex]11 *8 - 9 *(8-5)[/tex]
= [tex]88 - 9*3[/tex]
= [tex]88 - 27[/tex]
= [tex]61[/tex]
Units = m * m or m²
61 m²
-Chetan K
solve 557+3 using number disks
Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,
A polygon with both equal angles and equal sides is called
Answer:
It's called a regular polygon
Answer:
A regular Polygon
Step-by-step explanation:
2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Ok, so we start off with [tex]2^x+2=4[/tex]
Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]
After that, we simplify to get: [tex]2^x=2[/tex]
Finally, the solution becomes: [tex]x=1[/tex]
Answer:
x=1
Step-by-step explanation:
2^x=4-2
2^x=2
2^x=2^1
x=1