Answer:
5 × 10¹³
Step-by-step explanation:
(1.5 × 10¹⁰) ÷ (3 × 10⁻⁴) = 50,000,000,000,000
) The height h(t) in feet of a model rocket above the ground t seconds after
lift-off is given by h(t) = −t
2 +30t, for 0 ≤ t ≤ 30. When does the rocket reach its
maximum height above the ground? What is its maximum height?
After 15 seconds rocket reaches to maximum height is 225 units.
What is Differentiation?Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, the given equation of height
h(t) = -t² + 30t
y = -t² + 30t
Now, on differentiating both side with respect to t, we get
dy/dt = -2t + 30
put dy/dt = 0, we get
0 = -2t + 30
2t = 30
t = 15
Now, at t = 15 sec. rocket reach at its maximum height.
maximum height at t = 15 sec is
h(15) = -(15)² + 30(15)
h(15) = -225 + 450
h(15) = 225
Thus, after 15 seconds rocket reaches to maximum height is 225 units.
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What is the square root of 121 ?
Answer:
√121 = 11
Explanation:
11 × 11 = 121
Answer:
11
Step-by-step explanation:
The square root of 121 is 11.
= 11*11 = √(121)
= 121 = 11
done
Find a coterminal angle between 0° and 360°.
780
for an angle of 780°, we can say that is really a 360° + 360° + 60°, so two full revolutions plus an extra 60°. Check the picture below, with the coterminal in green.
A water barrel has a total volume of 1.25 cubic meters (m3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to cubic feet (ft3). Round your answer to the nearest tenth. Do not type the units in the space below.
Answer:
see the attachment photo!
Select the action you would use to solve x-3= 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
OF. Property: Subtraction property of equality
← PREVIOUS
Answer:
Add 3 to both sides
Property: Addition property of equality
Step-by-step explanation:
Action: Add 3 to both sides.
⇒ x - 3 = 12
(cancel out)+ 3 + 3
------------------------ -----
x = 15
The property used:
Addition property of equality.→ equation is true and the same #is added to each side the resulting equation is true. for any #s a,b,c,if a=b then a+c=b+c.
6x³ + 3x
how do you factor out the GCF in this question??
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to factor out the GCF in the expression
[tex]\star~\star\mathrm{6x^3+3x}~\star~\star[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Divide every single term of the expression by the GCF (Greatest Common Factor).So let's divide.
But first. we should work out the GCF.
Both terms have 3x in common, so we divide both terms by 3x:
[tex]\mathrm{6x^3+3x}[/tex]
[tex]\mathrm{3x(2x^2+1)}[/tex]
To ensure that we've factored correctly, we can always use the distributive property, distribute 3x and see whether or not we end up with [tex]\mathtt{6x^3+3x}[/tex].
So the answer is
[tex]\mathrm{3x(2x^2+1)}[/tex]
Notice I put parentheses around 2x²+1. This indicates that 3x is multiplied times both 2x² and 1.
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Given Segment AC with point B contained on the segment, as shown below.
Write a complete two-column proof for following information:
Given: Segment AB = x + 16, Segment BC = 4x + 11
Segment AC = 77
Prove: AB = 26
It is true that the line segment AB equals 26
How to prove that line segment AB = 26?The given parameters are:
AB = x +16
BC = 4x + 11
AC = 77
The two-column proof is as follows:
AC = AB + BC Line segment formula
77 = x + 16 + 4x + 11 Substitution property of equation
77 = 5x + 27 Addition property of equation
5x = 50 Subtraction property of equation
x = 10 Division property of equation
AB = 10 +16 Substitution property of equation
AB = 26
Hence, the line segment AB has been proved to equal 26
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Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph?
(1.1, 0.9)
(1.5, 1.3)
(–2.2, 15.8)
(–1.8, 13.2)
The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
How to determine the relative maximum?The equation of the function is given as:
y = x^3 + x^2 – 6x + 5
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the relative maximum to be at:
(x,y) = (-1.8,13.2)
Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
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Help me with the problem please!!
Step-by-step explanation:
Scale factor red to blue meaning 42 to 7
42÷7=6
Scale factor is 6
Perimeter of the blue quadrilateral = ?
If perimeter of red = 204
Then we use this following proportion
[tex]204 \div 42 = x \div 7[/tex]
[tex] \frac{204}{42} = \frac{x}{7} [/tex]
Then we cross multiply
42x=7×204
42x=1428
x=34
Area of the blue quadrilateral = ?
If area of the red quadrilateral = 2880
Then we use the following proportion
[tex]2880 \div 42 = x \div 7[/tex]
[tex] \frac{2880}{42} = \frac{x}{7} [/tex]
Then we cross multiply
42x=2880×7
42x=20160
x=480
if1(2) at the level 20= 0.94770 and 1(2) at the level 21= 096020 find the required level of mortality for the estimated value of 1(2)* =0.95656.
Answer:
Step-by-step explanation
Sorry but your answer is a fake question which I can't answer
Which of the following is a right triangle?
Answer:
B
Step-by-step explanation:
A right triangle must have one of its 3 angles equal to 90°
the only triangle with an angle of 90° is Triangle C
Answer:
B:Triangle
Step-by-step explanation:
Which expression is equal to
5(2x²-1) + 3(7x² + 1)?
11x² + 2
11x-2
31x² + 2
31x²-2
Answer:
d
Step-by-step explanation:
A cylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in
cubic feet, to the nearest tenths place?
The volume of the cylinder will be equal to 1017.87 cubic feet.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, the volume will be calculated by radius and the height of the cylinder.
Given that:-
The volume of the cylinder will be calculated by using the formulas below:-
V = πr²h
V = π ( 9 )² 4
V = 1017.87 cubic feet.
Therefore the volume of the cylinder will be equal to 1017.87 cubic feet.
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nth term formula? maths quickly
[tex]\text{Nth term of an arithmetic series} = a +(n-1)d \\\\\text{Nth term of an geometric series}= ar^{n-1}\\\\\text{where,}\\\\\text{a = first term.}\\\\\text{d = common difference.}\\\\\text{r = common ratio.}[/tex]
Please explain as well!
Answer:
The height of the other book is 2 3/4 inches.Step-by-step explanation:
From the information,we get:
Two stacks of books together are = 7 1/2 inches tall.
One stack is given,that is = 4 3/4 inches.
To Find:
The height of the other.Solution:
Let us assume that the other height of the book be x.
Then the equation will be:
[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]
Solve for x to get the other book's height.Convert the mixed fractions to fractions:
[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]
Subtract 19/4 from both sides:
[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]
[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]
Hence, we can conclude that:
The height of the other book is 2 3/4 inches.
HELP ILL GIVE BRAINLIEST!
Solve 2u² = 90, where u is a real number.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
u=
Answer:
I think maybe u=6.71 but I'm not sure. wait for another answer
This list shows the lengths in feet of the 25 longest bridges in the United States.
1010
1470
1600
2000
2800
1053
1495
1632
2150
3500
1200
1596
1750
2150
3800
1207
1600
1800
2300
4200
1380
1600
1850
2310
4260
Jamie made a frequency table of the bridge data.
U.S. Bridges
Length (ft)
Tally
Frequency
(first interval)
|||| ||
7
(last interval)
||
2
Based on the tallies and frequencies for the first and last intervals, how many intervals of what length did Jamie use?
a.
4 intervals of 1000 feet
c.
6 intervals of 500 feet
b.
5 intervals of 1000 feet
d.
7 intervals of 500 feet
Please select the best answer from the choices provided
A
B
C
D
The length of the intervals of the given frequency table is
500 ft.
The given list shows the lengths in feet of the 25 longest bridges in the United States.
we have to determine the median and mode of the bridge data.
The median is the middle number of the data set arranged in ascending order.
1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.
The median is 1750.
Mode is the number that appears most often in the data set.
1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260
The mode is 1600.
Therefore the correct option is Median: 1750, Mode: 1600
So the length of the intervals of the given frequency table is
500 ft.
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You plan to build a house that is 1 ½ times as long as it is wide. You want the land around the house to be 20 feet wider than the width of the house, and twice as long as the length of the house, as shown at the right.
The total area with land based on the information given is 3x² + 60x.
How to find the area?Let the width = x
Let the length = (1.5 × x) = 1.5x
Area = 1.5x × x = 1.5x²
The area along with land:
Width = x + 20
Length = 3 × x = 3x
The total area with land:
= Length × Width
= 3x(x + 20)
= 3x² + 60x.
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Michael and Zach are hiking in the mountains. They left Michael’s car in the parking lot and walked northwest for 12.4 km to a campsite. Then they turned due south and walked another 7.0 km to a glacier lake. The weather was taking a turn for the worse, so they decided to plot a course directly back to the parking lot. Zach remembered, from the map in the parking lot, that the angle between the path to the campsite and the path to the glacier lake measures about 30°. What compass direction should they follow to return directly to the parking lot?
Answer:
about 101°
Step-by-step explanation:
The bearing back to the parking lot is the reverse of the bearing from the parking lot to the lake. That bearing can be found two ways. One of them uses the bearing and distance of each leg of the hike. The other uses what Zach remembers about the map.
__
sum of vectorsThe location of the lake from the parking lot can be found by adding the vectors to the campsite from the lot and to the lake from the campsite. That sum will be ...
12.4∠315° +7.0∠180° ≈ 8.94∠281.4°
A suitable calculator can be used to find this sum, as shown in the second attachment. (Angles are displayed by the calculator in the range (-180°, 180°].)
__
The direction of the parking lot from the lake will be the opposite direction. It can be found by subtracting 180° from the angle:
bearing to parking lot = 281.4° -180° = 101.4°
Michael and Zack should follow a compass direction of about 101°.
__
map memoryNorthwest is a compass bearing of 315°. Points south of that bearing will have a smaller angle. Zach remembers the direction of the lake to be about 30° less than that angle, so at 315° -30° = 285°.
The bearing back to the parking lot is the opposite direction, so ...
285° -180° = 105°
Based on Zack's memory, they should follow a compass direction of about 105°.
They will come within about 560 meters of the parking lot using this heading.
_____
Additional comments
When doing these vector calculations by hand, a couple of different methods can be used. One is to convert the vectors to component form, add the components, then convert back to polar form. The other is to make use of the Law of Cosines and the Law of Sines to solve the relevant triangles.
Here, the lake-lot distance is the third side of a triangle with two sides and the included angle known. The Law of Cosines applied to this situation is ...
c² = a² +b² -2ab·cos(C) . . . . . generic Law of Cosines equation
c² = 12.4² +7.0² -2(12.4)(7.0)cos(45°) ≈ 80.0063
c ≈ √80.0063 ≈ 8.9446
Using the Law of Sines, we find the obtuse angle of the triangle to be ...
sin(L)/12.4 = sin(C)/8.9446 . . . . . L and C are vertex angles in the diagram
L = 180° -arcsin(12.4/8.9446×sin(45°)) ≈ 101.4°
__
If translation to rectangular coordinates is used, this can be done using the usual translation ...
(x, y) = (r·cos(θ), r·sin(θ)) . . . . rectangular coordinates for r∠θ
The value of θ used can be the bearing angle (measured clockwise from north), or it can be the corresponding Cartesian plane angle (measured counterclockwise from +x). As long as the angles are consistently measured, the math works either way.
__
We have assumed that "northwest" is a bearing of 315°. If the compass rose is divided into 32 segments, the name "northwest" will be given to any bearing within 5° of this value. This makes our detailed vector calculations be somewhat approximate, and means that Zach's memory of the required bearing may be sufficiently accurate after all. Or not.
an isosceles triangle has two 5.5 cm sides and two 32.4 angles. find the area and primeter of this triangle.
The area and perimeter 10.7625 sq. cm and 11.5536 cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
let us construct perpendicular bisector.
Using trigonometry
cos [tex]\theta[/tex]= B/H
cos 32.4 = x / 5.5
5.5 cos 32.4 =x
We will consider the third side 2x.
So, 2( 5.5 cos 32.4) is the third side
P = 5.5 + 5.5 + 2( 5.5 cos 32.4)
= 11 + 0.5536
= 11.5536 cm
Area= 1/2* 5*5* sin 115.2
= 12.5 * 0.861
= 10.7625 sq. cm
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What are the zeros of the function f(x) = x4 − 4x2 − 5?
Answer:
A graph shows zeros to be ±3. Factoring those out leaves the quadratic
(x-2)² +1
which has complex roots 2±i.
The function has roots -3, 3, 2-i, 2+i.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
The function is :
f(x) = x⁴ - 4x² - 5
=============================================================
Plotting on a graph :
⇒ Once plotted on graph, check where the line of the function intersects the x-axis
⇒ Those will be the zeros of the function
===========================================================
Solution :
⇒ x = -2.236
⇒ x = 2.236
Consider a triangle ABC like the one below. Suppose that a = 31, b = 23, and c = 20. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".
The solution to the triangle is A = 92.0, B = 47.9 and C = 40.1
How to solve the triangle?The figure is not given;
However, the question can still be solved without it
The given parameters are:
a = 31, b = 23, and c = 20
Calculate angle A using the following law of cosine
a² = b² + c² - 2bc * cos(A)
So, we have:
31² = 23² + 20² - 2 * 23 * 20 * cos(A)
Evaluate
961 = 929 - 920 * cos(A)
Subtract 929 from both sides
32 =- 920 * cos(A)
Divide both sides by -920
cos(A) = -0.0348
Take the arc cos of both sides
A = 92.0
Calculate angle B using the following law of sine
a/sin(A) = b/sin(B)
So, we have:
31/sin(92) = 23/sin(B)
This gives
31.0189 = 23/sin(B)
Rewrite as:
sin(B) =23/31.0189
Evaluate
sin(B) =0.7415
Take arc sin of both sides
B = 47.9
Calculate angle C using:
C = 180 - 92.0 - 47.9
Evaluate
C = 40.1
Hence, the solution to the triangle is A = 92.0, B = 47.9 and C = 40.1
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The population standard deviation for the height of college hockey players is 3.4 inches. If we want to estimate 90% confidence interval for the population mean height of these players with a 0.6 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number) Answer:
Answer:
i thank 4 for this players
The solution for which of the following is neither a interger nor a fraction 4x+7=x+2 ,5x-8=x+4, 3x+2=5x+2, none of the above
Answer:
none of the above
Step-by-step explanation:
4x + 7 = x + 2
4x - x + 7 = x - x + 2
3x + 7 = 2
3x + 7 - 7 = 2 - 7
3x = -5
3x / 3 = -5 / 3
x = -5 / 3 = -1.667
5x - 8 = x + 4
5x - x - 8 = x - x + 4
4x - 8 + 8 = 4 + 8
4x = 12
4x / 4 = 12 / 4
x = 3
3x + 2 = 5x + 2
3x - 5x + 2 = 5x - 5x + 2
-2x + 2 = 2
-2x + 2 - 2 = 2 - 2
-2x = 0
x = 0
Integers, As a whole number that can be written without a remainder,
x = 3
x = 0
(Mixed) Fraction
x = -5 / 3 = -1.667
PLEASE HELP TIMER!!!!!!!!!!!!!
Answer:
Answer: -3/2
Step-by-step explanation:
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congruent figures someone please help
What do you think are the biggest advantages & disadvantages regarding the kind of technology we have access to in the early 21st century?
The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:
Advantages:
The improvement of productivity.
Better and easier communication between people.
Disadvantages:
Can be bad for the environment.
Technology might be able to replace humans in jobs.
What is technology?Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.
Technology is embedded in the operation of all machines for the intended purpose of an organization.
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A group of researchers wants to develop an experiment to determine whether a new drug effectively treats hypothyroidism. The researchers want to inject the drug in rabbits first to determine whether there are any potential serious side effects.
Part A: What are some possible ethical issues to this type of testing? (5 points)
Part B: While conducting the experiment, the researchers find the thyroid begins functioning properly, and they declare the new drug is causing the change. Is this a good assumption? Explain. (5 points)
Some possible ethical issues to this type of testing that they are subjected to unpleasant and hazardous procedures, as well as stress and injury.
What is experiment?Any well-defined method that yields an observable outcome that cannot be precisely predicted in advance is referred to as a experiment. To avoid any ambiguity or surprise, a experiment must be properly defined.
A) Because human experimentation is immoral, animal research has been employed as a research approach.
However, using animals is unethical because they are subjected to unpleasant and hazardous procedures, as well as stress and injury. The use of non-animal methods to substitute animal methods as much as possible will provide both ethical and technical benefits. Researchers should make the use of non-animal methods for a top priority experiments.
B) Even though the purpose of an experiment is to ensure success in rabbits, this is incorrect in people because action is what will operate properly.
The absence of thyroid-stimulating hormone in rabbit serum is a mistaken notion. As a result, it is preferable to test the drug further, and it was a success. As a result, there will be no dysfunctionality for humans.
Thus, some possible ethical issues to this type of testing that they are subjected to unpleasant and hazardous procedures, as well as stress and injury.
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Example
In rectangle PRST, ST and RT are extended as shown.
What is mLUTV?
Since LPTS is a right angle, LPTR and
LRTS are complementary angles.
x + (2x-57) = 90
3x - 57 = 90
3x = 147
X = 49
So, m/UTV = 41°.
(2x-57)
T
LRTS and LUTV are vertical angles,
so m/UTV = m/RTS.
m/UTV = (2x - 57)°
= [2(49) - 57]⁰°
= 41°
S
Name another pair of complementary angles and another pair of vertical angles
Find m
Nani wait what I don't know
Find the volume of the right circular cone with radius 6 cm, height 7 cm
[tex]( \pi = \frac{22}{7} )[/tex]
Answer:
Volume = 264 cm³Step-by-step explanation:
Formula:
Let b be the base (circle) of the cone
and h be the height of the cone
[tex]\text{volume of the cone} =\frac{1}{3} \times b\times h[/tex]
……………………………………………
→ b = π × r²
= π × 6²
= (22÷7) × 36
= 113.142857142857 cm²
→ h = 7
[tex]\text{volume of the cone} =\frac{1}{3} \times b\times h[/tex]
The volume = (1÷3)×(113,142857142857)×(7)
= 264 cm³
===================
METHOD 2 :
Volume = (1÷3)×(22÷7)×36×7
= (1÷3)×22×36
= 22×12
= 264