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.
———————————————————————————————————————-
(Hope this helps can I pls have brainlist (crown)☺️)
can anyone help me please just cat get it
Answer:
it is c I think if not sorry
[tex]~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}[/tex]
[tex]\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
now keeping that template for transformations above in mind, let's take a look at this one
[tex]\stackrel{\textit{original}}{f(x) = |x|}\implies f(x)=\stackrel{A}{1}|\stackrel{B}{1}x+\stackrel{C}{0}|+\stackrel{D}{0}[/tex]
now, the vertex of this type, or original that'll be the origin at (0,0), and its' graph looks like a V.
now let's take a peek at the graph, hmmm from the original V-shape it moved to the left by 2 units, with a horizontal shift of C/B = 2, we can say that +2/1 gives B = 1 and C = +2, and moved upwards by 3 units, namely D = +3.
we can also see that it flipped upside-down over the horizontal(x-axis), namely A is negative, on all choices the only value we see for A is "4", so it must be that A = -4
let's plug all those in
[tex]\begin{cases} A=-4\\ B=1\\ C=+2\\ D=+3 \end{cases}\qquad f(x)=\stackrel{A}{-4}|\stackrel{B}{1}x+\stackrel{C}{2}|+\stackrel{D}{3}\implies f(x)=-4|x+2|+3[/tex]
455,757,974,946,454 ×454,942,164,313,233.Plz help.
91929229
7373738292929202010100110010110
A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?
12 miles
12 miles
25 miles
25 miles
120 miles
120 miles
312 miles
312 miles
Answer:
25 miles?
Step-by-step explanation:
Draw the image of AABC under a translation by 3 units to the left and 3 units down
this is an answer if u have somethin better go for it
Multiply.
[−3⋅914]⋅[(−0.1)⋅(−28)]
What is the product?
Answer:
x=5.3984
Step-by-step explanation:
7.
The transformation described below adds 1 to the x-coordinate and doubles the y-coordinate of any given point.
(x,y) → (x + 1, 2y)
2
What is the effect of this transformation on distance and angle measure?
A. It preserves angle measure but does not preserve distance.
B. It preserves neither distance nor angle measure.
C. It preserves both distance and angle measure.
D
It preserves distance but does not preserve angle measure.
Answer: make me brainlist
Step-by-step explanation: CCCCCCC
What is 7*1893/2? Help please
Multiply first then divide:
7*1893 = 13251
13251/2 = 6625.5
Answer: 6625.5
The picture can be represented by the equation 40 divided by 8 equals 5.
Answer:
what is to do here
[tex] \sqrt[8]{40} = 4 \\ 5[/tex]
the answer like this up will be 5 what grade questionPerimeter of piecewise rectangular figure. Please help.
Check the picture below.
so the perimeter is 6+16+14+7+8+9 = 60.
which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42
Answer:
It is C. 500 tablets in a bottle for 13.42
Step-by-step explanation:
9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.
6.32/100 = 0.06 cents per tablets in a bottle.
13.42/500 = 0.02 cents per tablets in a bottle.
d ÷ 20 = 0.81
d = ?
what is d?
Answer: 16.2
Step-by-step explanation:
i used the calculator
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
Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
Answer:
The center is at (1, 6) and the radius is 1.
Step-by-step explanation:
x^2 + y^2 - 2x - 12y +36 = 0
Convert to standard form:
x^2 - 2x + y^2 - 12y = -36
(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36
(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1
(x - 1)^2 + (y - 6)^2 = 1
The center is at (1, 6) and the radius is 1.
find the mean of 98 100 100 100 100 100
Answer:
the mean of this sequence of numbers is 99
Answer:
it is 99
Step-by-step explanation:
Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.
As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.
At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:
"I wisht they'd strike game somewheres, an' go away an' leave us alone."
"They do get on the nerves horrible," Henry sympathized.
They spoke no more until camp was made.
Read this line from the story:
As darkness came on, the hunting-cries to right and left and rear drew closer, ...
What is the purpose of this sentence in the story? (5 points)
It implies a mood of utter despair.
It implies a near tragic event.
It creates a feeling of being trapped.
It creates a sense of action. I AM GIVING 50 POINTS!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The problem with this kind of question is that the author tells you what you should see in that sentence. The dogs experienced fear. Any other answer you suggest is not what the author means. So you are guessing. It is adding to the notion that the arctic is not a friendly place and you cannot go sunbathing in and be comfortable in the middle of winter.
A is as good an answer as you are likely to get, but I don't think it's right.
PHOTO ATTACHED CAN SOMEONE PLZ FR HELP LIKE NOT LIKE A LINK OR A ANSWER FOR THE POINTS I NEED SOME HELP!!!!!!!! thank you :)
Answer:
80a²b³c
Step-by-step explanation:
As with numbers, the LCM is the product of the highest-powered factors.
16ab³ = 2⁴×a×b³
5a²b² = 5×a²×b²
20ac = 2²×5×a×c
The highest power of the factor 2 is 2⁴.
The highest power of the factor 5 is 5.
The highest power of the factor a is a².
The highest power of the factor b is b³.
The highest power of the factor c is c.
The LCM is 2⁴×5×a²×b³×c = 80a²b³c
How do I figure this out
Answer:
D
Step-by-step explanation:
yeah-ya....................... right?
Answer:
D
Step-by-step explanation:
hope it help correct me if wrong
Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8
영
0-1
-4
ANSWERS:
4
1/4
-1/4
-4
Answer:
45
Step-by-step explanation:
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
if I set off for the market,a distance of 11km at 10am. And walk at an average speed of 3km per hour,At what time will I reach the market?
Answer:
At 1:40 pm you will reach the market.
Step-by-step explanation:
Distance (d) = 11 km
Average speed (v) = 3 km/h
Formula:
[tex] \rm Average \: speed = \dfrac{Distance}{Time} \\ \\ \rm 3 = \dfrac{11}{t} \\ \\ \rm t = \dfrac{11}{3} \\ \\ \rm t = 3 \frac{2}{3} \\ \\ \rm t = 3 hr \: 40min[/tex]
It will take 3 hours 40 minutes to reach the market.
So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).
Find the equation of the line.
Use exact numbers.
y= x+
Answer:
The equation of this line is y = -3x + 7
Step-by-step explanation:
Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.
(The slope determines the direction in which the line goes, and is written as rise/run.)
In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.
(The y-intercept is the point in which the line crosses the y-axis.)
In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.
So all together we have y = -3x + 7.
Hope this helps you :)
HELP!!!! PLZZZZZZZZZZ
Answer:
2x³ + 4x² cub. inches
3x³ + 36x² + 105x cub. inches
x³ + 32x² + 105x cub. inches
Step-by-step explanation:
Volume of the small box = x × 2x × (x + 2)
= 2x²(x + 2)
= 2x³ + 4x² cubic inches
Volume of the large box = (x + 5)(x + 7) × 3x
= (x² + 12x + 35) × 3x
= 3x³ + 36x² + 105x cubic inches
Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)
3x³ + 36x² + 105x - 2x³ - 4x²
x³ + 32x² + 105x cubic inches
Help help help help help help help help
Answer:
y=2
y=4
y=6
y=8
Step-by-step explanation:
please mark brainlist
Will give brainliest
Answer:
between midnight and 3am i think
Step-by-step explanation:
y=sech(tan‐¹x) find the derivative
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
HELP
please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️
Answer:
[tex](x-6)^2=8[/tex]
Step-by-step explanation:
[tex]x^2-12x+32=4[/tex]
[tex]x^2-12x+32+4=4+4[/tex]
[tex]x^2-12x+36=8[/tex]
[tex](x-6)^2=8[/tex]
Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.
A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.
Answer:
The guitarist makes 70$ a performance
Step-by-step explanation:
To find how much he makes per performance we need to make an equation where how much he makes per performance is x
The equation would be:
6×x=420
Then we would divide both sides by 6
6÷6×x=420÷6
which would make the equation
x=70
meaning that the guitarist makes 70$ per performance
Let performances be x
[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]
[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]
[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]
[tex]\\ \sf{:}\dashrightarrow x=35[/tex]
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.
The probability that a randomly received emergency call is between 5 and 10 min is 77.97%.
Z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation and x is the raw score.
Given that μ = 6.4, σ = 1.7
For x = 5:
z = (5 - 6.4) / 1.7 = -0.83
For x = 10:
z = (10 - 6.4) / 1.7 = 2.12
a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797
b) P( x < 5) = P(z < -0.83) = 0.2033
c) P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017
The probability that a randomly received emergency call is between 5 and 10 min is 77.97%.
Find out more on Z score at: https://brainly.com/question/25638875
parallel to the line y=3/5x-8; passes through (0,-3)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]
so we're really looking for the line of a slope of 3/5 and passing through (0,-3)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]
[-4,6)
Write the interval as an inequality.
Answer:
4<×<6
Step-by-step explanation:
interval as an inequality
What is the range if this function ?
Answer:
-4 to 0 (both -4 and 0 are included in the range because of the dots)
