Answer:
5.33 Seconds
Step-by-step explanation:
This is because you have to do the quadratic equation and solve.
The time required to hi the water is 5.33 seconds.
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x as ax^2+bx+c=0 with a ≠ 0 . A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2.
For the given situation,
The function is h(t)= -16t^2+16t+370
The roots of this function can be found by using the formula,
[tex]t=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]t=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
Here, a=-16, b=16, c=370
⇒ [tex]t=\frac{-16+\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex] or [tex]t=\frac{-16-\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex]
⇒ [tex]t=\frac{-16+\sqrt{23936} }{-32}[/tex] or [tex]t=\frac{-16-\sqrt{23936} }{-32}[/tex]
⇒ [tex]t=\frac{-16+154.712}{-32}[/tex] or [tex]t=\frac{-16-154.712}{-32}[/tex]
⇒ [tex]t=\frac{138.712}{-32}[/tex] or [tex]t=\frac{-170.712}{-32}[/tex]
⇒ [tex]t=-4.33[/tex] or [tex]t=5.33[/tex]
Time cannot be negative. So the value is 5.33.
Hence we can conclude that the time required to hi the water is 5.33 seconds.
Learn more about quadratic equation here
https://brainly.com/question/12187987
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A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)
Answer:
It is -0.465 when you add it to the nearest thousandth
Step-by-step explanation:
PLS ANSWER FOR 30 POINT AND BRAINLIEST!!!
Answer:
B and E
Step-by-step explanation:
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
simplify the following:4(2x)^2+5(2y^2)^3
Answer:
16x^(2)+40y^(6)
Step-by-step explanation:
The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answer:
213,987.7 ft2
Step-by-step ex planation:
Calculate the perimeter and the area of the figure use 3.14
Answer:
Step-by-step explanation:
13.
P= 19.42mm
A= 18.32mm²
Answer:
Half of 6 is 3(new radius)
2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42
2 + 2 + 2 = 6
6 - 2 = 4
Add lengths:
9.42 + 6 + 4 = 19.42 mm is your perimeter
2 x 2 = 4
3^3 = 9
9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13
Add areas:
4 + 14.13 = 18.13 mm2 is your area
Find the height of a right triangle with a hypotenuse of 15 feet and a base of 12 feet.
Answer:
c^2=a^2+b^2
c is hypothesis b is abase h is a
15^2=x^2 +12^2
225-144 =x^2
81=x^2
x=9
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
A semi-trailer in the shape of a rectangular prism, has inside measurements of 53 feet, 8 feet, and 8.5 feet. What is the volume of the trailer?
Answer:
4.5
Step-by-step explanation:
HELPPPPPPP PLZZZZZZZZ
Answer:
azesrdftgyuh
Step-by-step explanation:
dxcfvghbj
Find the values of x and y.
Answer:
y=60°
x=12°
Step-by-step explanation:
because the propertiy of parallelogram is the opposite side have equal measurement.
that is why y=60°
x+3=15 the paralla side are equal
x=15°-3°
x=12°
proof》》》》x+3=
12°+3°=15°
15°=15°
Flip a coin 4 times and calculate the experimental probability of the coin landing heads up. Flip a coin 4 more times to increase the total number of trials to 8. What is the experimental probability of the coin landing heads up?
Answer:
0.35 Not sure
Step-by-step explanation:
Answer:
3/4 and 5/8
Step-by-step explanation:
need to know the answer
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12
what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter
Answer:
Step-by-step explanation:
Answer:1630.9 cm
v=4/3πr^3
radius =9.2
Plug in
4/3π(9.2)^3
3261.76066-
Volumenof hemisphere Half of volume of spehere
3261.76066698/2
=1630.9 cm^3
Someone help me please
Step-by-step explanation:
I think the choose 3 (g , h ,f )
A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT
Answer:its D 8 -4 = 4
Step-by-step explanation:
which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)
Answer:
C
Step-by-step explanation:
the answer is c because there is more then one y value for 5
hey whats the answer to this ? will mark brainliest if correct
Answer:
C. 128°Step-by-step explanation:
Here,
<BAC + <BAE = 180° [Since supplementary angles]
=> 52° + <BAE = 180°
=> <BAE = 180° -52°
=> <BAE = 128° (Ans)
Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
Explain which properties you would use to fully expand (the problem in the screenshot)
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]
no links please i’m in yr7 / sixth grade so don’t make the answer too complicated or it won’t register ot
Answer:
each apple is £ 1.80
Step-by-step explanation:
i first multiplied the cost for one pear by 7, to get how much money was spent on pears out of the 12.70.
Then i took the remaining money and divided it by 2 to get how much each apple costs.
Answer:
1.80
Step-by-step explanation:
1) Price of Pears
[tex]1.30 * 7 = 9.10[/tex] formating: 1.30*7 = 9.10
2) Price of Apples
[tex]12.70 - 9.10 = 3.60[/tex] formating: 12.70-9.10 = 3.60
3) Price of Apples/Kg
[tex]\frac{3.60}{2} = 1.80[/tex] formating: 3.60/2 = 1.80
PLEASE HELP!! NO LINKS!!
Answer:
105°
cause You can measure an arc in degrees just like you measure an angle
A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12
Answer:
4,800 loaves.
Step-by-step explanation:
Solve by utilizing ratios and cross-multiplication.
2 x [(27–3) - (3+4)] = n
what’s (n)
Answer:
n = 34
Step-by-step explanation:
2{(24- ( 3 + 4)) =n
2{(24 - 7) =n
2 x 17 = n
34 = n
swap the sides
n = 34
Find the value of x pls I’ll give brainleist.
Answer:
x=15°
Step-by-step explanation:
We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.
(7x-10)+(6x-5)=180
7x-10+6x-5=180
13x-15=180
13x=195
x=15
Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
Which is the factored form of x(w – 1) + (W – 1)?
22 pts
Answer:
Solution given:
x(w – 1) + (W – 1)
distribute it:
xw-x+w-1
xw+w-x-1
take common from each term
w(x+1)-1(x+1)
take common again
(x+1)(w-1)
the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).