Answer:
.16666667
Step-by-step explanation:
(x)3=0.5
divide both sides by 3
x =.16666667
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.
y = 16x^2+ 238x + 81
Answer: 7.44
Step-by-step explanation: DeltaMath
..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?
Answer:
Approximately 1553.83
Two cars leave simultaneously from points A and B, the distance between which is 280 km. If the cars move to meet each other, they’ll meet in 2 hours. But if they move in the same direction, then the car going from point A will catch up with the car going from point B in 14 hours. What is the speed of each of the cars?
Answer:
Car A speed = 80 m/s
Car B speed = 60 m/s
Step-by-step explanation:
Let Speed of Car A be represented as x
Let Speed of Car B be represented as y
280 = (x+y)(2)140 = x+y --> Equation 1Let z represent the distance that Car A travels until it catches up to Car B
280+z = x(14)Since it takes 14 hours for Car B to cover the distance z,
z = 14y280+14y = 14x280 = 14(x-y)20 = x-y --> Equation 2Solving Equation 1 and Equation 2, we get:
x = y+20140 = 2y+20120 = 2yy = 60 x = y+20 = 80Answer:
Car A speed = 80 km/h
Car B speed = 60 km/h
Step-by-step explanation:
Which equation has no real solutions?
A 2x2 + 2x + 15 = 0
B 2x2 + 5x – 3 = 0
C 1 x2 + 7x + 2 = 0
D x2 - 4x + 2 = 0
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]
On substituting the values,
⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]
⇒[tex]V=4180[/tex]
Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].
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Stacy saved some dimes. Leo saved 3 times as many dimes as Stacy. If Leo saved a total of 72 dimes, how many dimes did Stacy save? Let n represent the number of dimes that Stacy saved.
Answer:
Leo: 3n Dimes
Leo: 72 Dimes
Stacy: 72/3 Dimes
Stacy: 24 Dimes
Which is the equation in slope-intercept form for the line that passes through (-1,5) and is parallel to 3x + 2y = 4?
Answer asap please
Answer:
3.24
Step-by-step explanation:
At the Pizza place, 12% of the pizzas made last week had extra cheese. If 30 pizzas had extra cheese, how many pizzas in all were made last week?
Answer: 250
Step-by-step explanation:
Given
12% of the Pizzas had extra cheese
If those pizzas were 30 in number
Suppose, x be the total Pizzas
So, 12% of x is 30
[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]
Thus, 250 Pizzas were maid last week
Find the 7th term in the following sequence (n = 7)
f(n) = 5 + 8(n-1)
Also, for this question, state what a1 is (first term) and the common difference (a2 - a1).
Answer:
see explanation
Step-by-step explanation:
Substitute n = 7 into f(n)
f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53
f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
By comparison, then
a₁ = 5 and common difference d = 8
help please i don’t get it
(a) An angle measures 30°. What is the measure of its supplement?
(b) An angle measures 26°. What is the measure of its complement?
Answer:
32 and 58.
Step-by-step explanation:
complementary angles add up to 90.
26+x=y
x+y=90
plug y=26+x into the above equation
x+26+x=90
2x=64
x=32
The angles are 32 and 58.
I need help on this math problem quickly!!
Solve using the quadratic formula 1
Answer:
Step-by-step explanation:
Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved. I will assume that the problem is actually x^2 + 8x + 15 = 0.
The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4. Because the discriminant is positive, we know that there are two real, unequal roots.
Continuing with the quadratic formula and knowing that the discriminant is 4, we get:
-8 ± √4 -8 ± 2
x = ---------------- = --------------- , or x = -2 ± 1: x = -3 and x = -5
2 2
How do I solve this arithmetic sequence?
Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist
X 2. Gi'shon needs to complete the expressions below to factor x2 + x - 56. 0/1 Which of the following must be true? * ( x1)x___)
F. Both expressions will include subtraction.
G. The sum of the values in the blanks should be 1. X Х
H. The product of the values in the blanks should be 56.
J. The values in the blanks will be the same number but opposite signs
Answer: gggggg
g the sum of values are 1
Step-by-step explanation: 8-7=1
The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = x² + x - 56
On factorizing the equation , we get
A = x² + 8x - 7x - 56
8x - 7x = 1
So , A = ( x - 7 ) ( x + 8 )
Hence , the expression is A = ( x - 7 ) ( x + 8 )
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please help ASAP!!!
A cone has a radius of 2.5 inches and a height of 1.6 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
4.0 in³
10.5 in³
12.0 in³
23.1 in³
determine the missing length in your right triangle using the Pythagorean theorem. round your answer to the nearest 10th if necessary
Answer:
21.4
Step-by-step explanation:
13^2 + 17^2 = c^2
169 + 289 = c^2
458 = c^2
The square root of 458 is 21.4.
A chemist has a 100 gram sample of a radioactive
material. He records the amount of radioactive material
every week for 6 weeks and obtains the data in the
table below.
look at the picture please <3 i really need this asap
Answer:
75
Step-by-step explanation:
did it 5 mins ago
Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?
Answer:
The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet
Step-by-step explanation:
The given coordinates of the clues for the treasure hunt are
The location of the first clue = 5 units north of the flag pole
The coordinates is (0, 5)
The location of the second clue = 6 units east of the flag pole
The coordinates is (6, 0)
The location of the final clue = 5 units south of the flag pole
The coordinates is (0, -5)
The flagpole is at the origin
The coordinates of the flagpole is (0, 0)
Each unit on the graph = 50 feet
From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;
The shortest distance between 2 points is a straight line
Therefore
The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units
The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet
The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units
The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet
By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61
The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet
if (x-y)=15 what is the value of x^2 -2xy+y^2
Answer:
=225
Step-by-step explanation:
The value of x² - 2xy + y² would be; 225
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
we are given that (x-y)=15
The identity (x + y)² - (x - y)² = 4xy.
(x + y)²= (x² + 2xy + y²)
we have been asked to find x² - 2xy + y²
x² - 2xy + y² = (x - y)²
x² - 2xy + y² = 15²
x² - 2xy + y² = 225
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i need a little help with this
If your input is 5 what is the output?
Answer:
When the input is 5, the output is 11.
Step-by-step explanation:
Replace x with 5: 3(5) - 4 = 15 - 4 = 11
When the input is 5, the output is 11.
V 144 belongs to the set of integers.
O True
O False
Answer:
True
Step-by-step explanation:
[tex] \sqrt{144} [/tex]
is a rational number.
It is also a perfect square which means it is an integer.
Hope this Helps!:)
Answer:
Step-by-step explanation:
True. √144 = 12 (an integer) or 12/1, which is rational.
What is the distance in units from (2, -12) to (-11, -12)
20 POINTSSS
HURRY PLEASEEEE
Answer:
d= (-11-2)^2 + (-12--12)^2
d= (-13)^2 + (0)^2
d=169
square root the 169
answer is 13
that's the distance from (2, -12) (-11, -12)
hope that helps
Step-by-step explanation:
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
What is the distance of a line between 2 points?
The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Given data ,
Let the distance between the two points be = D
Let the first point be represented as = A
The value of A = A ( 2 , -12 )
The second point be represented as = B
The value of B = B ( -11 , -12 )
Now , the distance between the points A and B is given by the equation of distance formula
[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Substituting the values in the equation , we get
[tex]Distance D = \sqrt{(-12-(-12)^{2} + (2-(-11))^{2} }[/tex]
On simplifying the equation , we get
[tex]Distance D = \sqrt{(0 + (2+11))^{2} }[/tex]
[tex]Distance D = \sqrt{(13)^{2} }[/tex]
[tex]Distance D = 13[/tex]
Therefore , the value of D is 13
Hence ,
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
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Please help me this is on khan academy.
Mr. Mole's burrow lies 5 55 meters below the ground. He started digging his way deeper into the ground, descending 3 33 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
At the 95% confidence level, the margin of error for this survey, expressed as a proportion, is approximately 0.0288.
To calculate the margin of error for a survey expressed as a proportion, we need to use the formula:
Margin of Error = Critical Value [tex]\times[/tex] Standard Error
First, let's find the critical value.
For a 95% confidence level, we can refer to the standard normal distribution (Z-distribution) and find the z-value associated with a 95% confidence level.
The critical value for a 95% confidence level is approximately 1.96.
Next, we need to calculate the standard error.
The standard error for a proportion can be computed using the formula:
Standard Error [tex]= \sqrt{((p \times (1 - p)) / n)}[/tex]
Where:
p = proportion of respondents in favor of the plan
n = sample size
In this case, the proportion in favor of the plan is 37/185 = 0.2 (rounded to the nearest thousandth).
The sample size is 185.
Now we can calculate the standard error:
Standard Error [tex]= \sqrt{((0.2 \times (1 - 0.2)) / 185)}[/tex]
Simplifying further:
Standard Error ≈ [tex]\sqrt{((0.04) / 185)}[/tex]
Standard Error ≈ [tex]\sqrt{(0.0002162)}[/tex]
Standard Error ≈ 0.0147 (rounded to the nearest thousandth)
Finally, we can calculate the margin of error:
Margin of Error = 1.96 [tex]\times[/tex] 0.0147
Margin of Error ≈ 0.0288 (rounded to the nearest thousandth)
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The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.
Answer:
Step-by-step explanation:
tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.
d=h/tanα, we are given that h=4ft and α=4.76° so
d=4/tan4.76° ft
d≈48.04 ft (to nearest hundredth of a foot)
Options are:
CPCTC
Congruent
vertical angles are congruent
If alternate interior angles are congruent then lines are parallel
Answer:
1) because they are vertical angles
2) because SAS
3) CPCTC
4) Converse of the Alternate Interior Angles
Find the area of the figure shown below and choose the appropriate result.
A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2
HELP NEEDED!!! 15POINTS FOR A ANSWER AND EXPLANATION! I cant figure this out help me please! Also no links.
Answer:
Line I:y=5
Line m:y=_2×+5
Line n:y=×-1
Line p:×=_5
Step-by-step explanation:
Hope It Help
Brainliest Please
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing: