Answers
Answer:
4 seconds
Step-by-step explanation:
First I substitute the Y with 0 and then I move the 16x^2 to the left side of the equation and then I divide both sides with 16 leaving me with x^2 then I get the square root of both sides and then I evaluate it and then I got the answer x = 4
Answer:
4 seconds
Step-by-step explanation:
We have a quadtratic equation, that is, we have a function to the highest degree of x^2.
When solving this, we can either solve using the quadratic equation, or by solving for X which would be the easiest and quickest way to do it.
256 -16x^2=0
-16x^2=-256
x^2=16 (divide both sides by -16)
[tex]\sqrt{x} =\sqrt{16}[/tex]
Which leaves x=4 as your answer.
To check this, we can simply input 4 back into the equation, and we will find that it does indeed equal 0.
To further visualize this, when we solve the equation for x, we are finding where the x value that intersects the x axis. We are finding where x=0, or when it touches the ground.
Related Questions
Kathy has 68 coins in total. She has 5 more dimes than quarters and 5 times as many nickels than quarters. How many of each coin does she have?
Answers
Kathy has 28 dimes, 33 quarters, and 7 nickels, for a total of 68 coins which was found by solving three simultaneous equations.
What exactly are simultaneous equations?Two or more algebraic equations that share variables, such as x and y, are referred to as simultaneous equations. Because the equations are solved simultaneously, they are referred to as simultaneous equations. Each of these equations could have an infinite number of solutions.Given: Kathy possesses a total of 68 coins. She has 5 more dimes than quarters and 5 times as many nickels as quarters.
Let,
number of of coins of dimes = d
number of coins of quarters = q
number of coins of nickels = n
From the given information, we can form equations as follows:
q = 5 + d
q = 5n
d + q + n = 68
Arranging these equations,
q = 5n
d = 5n - 5
n = q/5
On solving these three equations simultaneously,
we get
d = 28
q = 33
n = 7
Therefore, Kathy has 28 dimes, 33 quarters and 7 nickels which together form 68 coins in total.
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For f(x) = 2x + 1 and g(x) = x2 – 7, find (f + g)(x).
x^2 + 2x + 8
2x ^2– 15
2x^3 – 6
x^2 + 2x – 6
Answers
Answer:
x^2 + 2x - 6.
Step-by-step explanation:
(f + g)x
= f(x) + g(x)
= 2x + 1 + x^2 - 7
= x^2 + 2x - 6.
Hello, I need some assistance with this homework question please for precalculusHW Q41
Answers
a 57-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answers
It is divided into two sections, a 57-inch piece. The length of one component is double that of the other. The length of the shortest piece wound be 29.
Given that,
It is divided into two sections, a 57-inch pipe. The length of one component is double that of the other.
We have to calculate the shorter piece's length.
Let us take the length of shortest piece as x
The length of longest piece wound be 2x
We can write as,
x+2x=57
3x=57
x=57/3
x=29
The length of largest piece will be 2×29=58
Therefore, The length of the shortest piece wound be 29.
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If ST = 65, TR= 40, and WU = 16, find the length of VW. Round your
answer to the nearest tenth if necessary.
Answers
Answer:
162.5
Step-by-step explanation:
You can set up a proportion
[tex]\frac{vw}{st}[/tex] = [tex]\frac{tr}{wu}[/tex] plug in the numbers that you know and solve for vw
[tex]\frac{vw}{65}[/tex] = [tex]\frac{40}{16}[/tex]
I would simply [tex]\frac{40}{16}[/tex] by dividing the numerator (top) and the denominator (bottom) by 8 to get [tex]\frac{5}{2}[/tex] which would be easier to work with
[tex]\frac{vw}{65}[/tex] = [tex]\frac{5}{2}[/tex] Cross multiply
2vw = 5(65)
2vw = 325 Divide both sides by 2
vw = 162.5
a/12 = 30.1/12 i am trying to find a if someone could help me please. :)
Answers
The value of a is 30.1
Divide Fraction Definition
The denominators of fractions must match in order to divide them. The numerators' quotient will be the quotient.
The phrase provided is,
a/12 = 30.1/12
We can directly cut the values if the denominator is the same. Since there is a 12 in the denominator on both the right and left sides in this case, remove 12 from both sides.
Thus, a = 30.1
Likewise, you can act in such manner,
a = (30.1 * 12) / 12
a = 30.1
Here, we take the right side of the left side denominator 12 and cancel 12.
Hence, A has a value of 30.1
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what is (-3) (-2) +98
Answers
Answer:
104
Step-by-step explanation:
(-3) (-2) +98
= 6 + 98
= 104
what is 50 precent of 286
Answers
Answer:
143
Step-by-step explanation:
divide 286 in half because 50/100 = 1/2
Hey there!
50% of 286
= 50% * 286
= 50/100 * 286/1
= 50 ÷ 50 / 100 ÷ 50 * 286/1
= 1/2 * 286/1
= 1 * 286 / 2 * 1
= 286 / 2
= 143
Therefore, your answer should be:
143
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I need help with this
Answers
Step-by-step explanation:
71.5
....................
Given the equation negative 24 equals y over 8, solve for y.
−192
−3
3
192
Answers
Answer:
Y= -192
Step-by-step explanation:
-24X8= -192
I hope this helps! If you don't mind could you please mark me brainliest?
i need help for this question
Answers
A right triangle is made up of two legs and one hypotenuse. The two legs meet at a 90° angle, and the hypotenuse is the right triangle's longest side and the side opposite the right angle.
What is Right triangle?A right triangle, also known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle. A right-angled triangle exists a triangle in which one of the angles stands 90 degrees. The sum of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.Therefore,
M = 30°, O = 60°, Q = 90°. Because this is a right angle triangle with angle 90°
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which shows the opposite -1.2
Answers
the opposite of -1.2 is 1.2
Two consecutive whole numbers are n-1 and n
a) Simplify n-(n-1)
b) Multiply out n(n-1)
c) Simplify (n-1) + n
d) The two numbers are added.
The answer is
A always even B always odd C sometimes even, sometimes odd
Answers
a. n-(n - 1) = 1
b. n( n - 1) = n² - n
c. (n - 1) + n = 2n - 1
d. (n - 1) + n = 2n - 1
Solution:
General Rule for Equation Solving
Remove parentheses and combine like terms to simplify each side of the equation.To isolate the variable term on one side of the equation, use addition or subtraction.To find the variable, use multiplication or division.Given two consecutive numbers , (n - 1) , n
simplifying :
n - (n - 1)
= n -1(n - 1)
= n - n + 1
= 1
multiplying :
n( n -1)
= n² - n
simplifying :
(n-1) + n
= n - 1 + n
= 2n -1
by adding two numbers :
(n - 1) + n
= n -1 + n
= 2n - 1
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The following table gives the number of people on the Titanic by class and whether or not they survived.
Class Survived Died Total
First class 202 123 325
Second class 118. 167. 285
Third class 178. 528. 706
Crew class 215 698 913
Total 713 1516 2229
Which of the following interpretations are correct?
(A). If a person survived, it is more likely that the person was in the crew than any other individual class.
(b). Given that a person was in the crew, it was more likely that the person died than survived.
(c). If a person died, it is likely that the person was in the third class or crew.
Answers
Answer:
(A) correct
(B) correct
(C) correct
Step-by-step explanation:
(A) is correct
Total survived = 713
Out of the 713 passengers who survived, the number of crew members = 215, the highest. The ratio of 215/713 is higher than any other ratio. This means 30% of those who survived were crew members. The next higher group of survivors was First Class passengers with a survival rate of 202/713 ≈ 28%
(B) is correct
There were 913 crew members. Out of this, 698 died 215 survived.
So it is more likely that given a person was a crew member, the person died than survived. That comprises 698/913 or 76% of crew members who died with only 24% survival rate
(C) is correct
There were 1516 passengers who died
Out of these, 528 + 698 = 1,226 were either third class or crew members and comprised 1226/1516 or approximately 81 percent of people who died
Gustavo applied the distributive property to the expression 9(w+5) . He then used the commutative property.
Drag and drop expressions to the boxes to correctly complete the statements.
Answers
The values of the expression after each property are as follows:
Distributive property: 9w + 45.Commutative property: 45 + 9w.Distributive propertyFor the distributive property, the outer term multiplies each of the inner terms of the expression.
In this problem, the expression is:
9(w + 5).
After the distributive property, the expression is represented as follows:
9 x w + 9 x 5 = 9w + 45.
(the outer term 9 multiplies each of the inner terms, of w and 5, and then they are added, due to the plus sign).
Commutative propertyThe commutative property of addition states that the order of the terms of the addition is not important, hence:
9w + 45 = 45 + 9w.
(the two terms just exchanged places).
Missing informationThe problems asks for the algebraic expression after each property is applied.
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If one card is drawn from a deck, find the probability of getting these results.Enter your answers as fractions or as decimals rounded to 3 decimal places.(a) A black 4P (black 4) =
Answers
A deck has a total of 52 cards.
The probability of getting a black 4 is then:
[tex]\begin{gathered} P(\text{black 4)= }\frac{1}{52} \\ P(\text{black 4)= }0.019 \end{gathered}[/tex]Find the midpoint of AB given A (2, -6) and B (-8,5).
Answers
Answer:
(-3, -.5)
Step-by-step explanation:
average of 2 and -8 is -3 = x-value
average of -6 and 5 is -.5 = y-value
The angle of the rook on Kaya's dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4. What is the measure of the angle of the roof of the model?
Answers
The measure of the angle of the roof of the model is 56 degrees.
Given:
The angle of the rook on Kaya's dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4.
From the statements given:
That a dilation is being performed that is the original figure is similar to the scale mode she made.
When two figures are similar then the angle of the two figures are same.
This means angle of the rook on Kaya's dollhouse and the built a scale model of the dollhouse with a scale ratio of 1:4 is same.
Therefore the measure of the angle of the roof of the model is 56 degrees.
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The line y-5=9/7(x+4) is graphed in the coordinate plane. Complete the sentence below describing this process
By inspecting the equation, the graph of the line has a slope of what?
Answers
Answer:
the slope Is 9/7........
The Hobby Center has 3,590 seats. On Monday,
25
5
of the seats were sold. On Tuesday
2
3
of the remaining seats were sold. How many seats are left?
Answers
3312 seats were left at The Hobby Center which has 3,590 seats.
What is subtraction?Subtracting from a group or a number of objects in math indicates taking something away. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. In mathematics, subtraction involves removing anything from a group or a number of objects. What is left in the group gets smaller when you subtract. The following is an illustration of a subtraction issue: 5 - 3 = 2
Given Data
The Hobby Center has 3,590 seats. On Monday, 255 of the seats were sold. On Tuesday 23 of the remaining seats were sold.
Total = 3590
On Monday = 255
On Tuesday = 23
Remaining seats = Total - seats sold
Remaining seats = 3590 - 255 - 23
Remaining seats = 3312
3312 seats were left at The Hobby Center which has 3,590 seats.
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What is the product?
Enter your answer as
a fraction, in simplified form, in the box.
-1/4 . (-6/11)
Answers
The most appropriate choice for r=fraction is [tex]\frac{3}{22}[/tex].
What is fraction?Suppose there is a collection of objects and a part of the collection are taken. Fraction represents that part of the object which are taken. In other words it can be said that fraction represents part of a whole collection of objects.
The upper part of the fraction is called numerator and the lower part of the fraction is called denominator of the fraction
Here,
Product of [tex]-\frac{1}{4}[/tex] and [tex]-\frac{6}{11}[/tex] =
[tex]-\frac{1}{4} \times -\frac{6}{11}\\= \frac{3}{22}[/tex]
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Question 4 of 6, Step 4 of 49/14CorrectConsider the following data representing the price of plasma televisions (in dollars).1387, 1135, 1352, 1220, 1202, 1217, 1176, 1268, 1150, 1182, 1222, 1391, 1163, 1168, 1282, 1250, 1201, 1225, 1403, 1175, 1371Copy DataPricePlasma Televisions (in Dollars)ClassFrequencyRelative FrequencyCumulative Frequency1077-11361137-11961197-12561257-13161317-13761377-1436Step 4 of 4: Compute the cumulative frequency of the fourth class.AnswerTablesKeypad
Answers
There are 21 televisions.
Class 1077-1136:
The frequency is how many of them cost in this range.
There is 1.
So frequency: 1
Relative frequency is 1/21 = 0.0476
Cumulative frequency is the previous cumulative plus the relative:
Previous cumulative: 0
Relative: 0.0476
Cumulative = 0 + 0.0476 = 0.0476
Class 1137-1196:
6 in this interval.
Frequency: 6
Relative frequency: 6/21 = 0.2857
Previous cumulative: 0.0476
Relative: 0.2857
Cumulative = 0.0476 + 0.2857 = 0.3333
Class 1197-1256:
7 in this interval.
Frequency: 7
Relative frequency: 7/21 = 0.3333
Previous cumulative: 0.3333
Relative: 0.3333
Cumulative: 0.3333 + 0.3333 = 0.6666
Class 1257-1316:
2 in this interval.
Frequency: 2
Relative frequency: 2/21 = 0.0952
Previous cumulative: 0.6666
Relative: 0.0952
Cumulative: 0.6666 + 0.0952 = 0.7618
Class 1317-1376:
2 in this interval.
Frequency: 2
Relative frequency: 2/21 = 0.0952
Previous cumulative: 0.7618
Relative: 0.0952
Cumulative: 0.7618 + 0.0952 = 0.857
Class 1377-1436:
3 in this interval.
Frequency: 3
Relative frequency: 0.143
Previous cumulative: 0.857
Relative: 0.143
Cumulative: 0.857+0.143 = 1
f(n+1)=f(n)-2 if f(1) =10
what is f(3)
Answers
The function f(3) has a value of 6
How to evaluate the function?The definition of the function is given as
f(n + 1) = f(n) - 2
Where
f(1) = 10
We start by substituting 1 for n in the equation f(n + 1) = f(n) - 2
So, we have
f(1 + 1) = f(1) - 2
Evaluate the like terms
So, we have
f(2) = f(1) - 2
Substitute f(1) = 10 in f(2) = f(1) - 2
f(2) = 10 - 2
Evaluate the difference
f(2) = 8
We continue by substituting 2 for n in the equation f(n + 1) = f(n) - 2
So, we have
f(2 + 1) = f(2) - 2
Evaluate the like terms
So, we have
f(3) = f(2) - 2
Substitute f(2) = 8 in f(3) = f(2) - 2
f(3) = 8 - 2
Evaluate the difference
f(3) = 6
Hence, the value of f(3) is 6
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heeeeeelpppp meehh pl.s
Answers
Answer:
1) d times c = n
2) 2A - a =b
3) F times R2 divided by m2G = m
Step-by-step explanation:
if you know what maps are they are like a guide so the map to your first answer would be times c on both sides of the = sign
your second map would be times 2 on both sides of the = sign then to also subtract a on both sides
Find the coordinate of the image of B (4, 0) after a reflection over the y-axis.
Answers
We need to know reflection of point about axes to solve the problem. The image of B (4,0) after reflection about y-axis is (-4,0).
Reflection about an axis means finding the point on the graph that is at an equal distance from the axis on the opposite side of the reflecting surface. The reflection can be about an axis or a line or origin. When a point is reflected about the x-axis, the sign of the y-coordinate of the point changes, when a point is reflected about y-axis the sign of the x-coordinate of the point changes and when a point reflects about the origin, the sign of both the coordinates change. Here in the question we need to find the reflection of point B (4,0) about y-axis, the image of point B will be (-4,0).
Therefore the image of point B(4,0) when reflected about y-axis is (-4,0).
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5 ( 4 ( x-3) + 5x) - 4 (3x + 1 )
Answers
Answer:
20x-72+25x-12x-4=33x-68
Step-by-step explanation:
5(4(x-3)+5x)-4(3x+1)
5(4x-12+5x)-12x-4
5(9x-12)-12x-4
45x-60-12x-4
45x-12x-60-4
33x-64
Customers of a beauty salon were surveyed to see which type of service they had during their visit (hair, nails, or skin) and their age (18 years or younger or over 18 years old). The results of the survey were displayed in a joint relative frequency table.
Which of the following describes this data set?
Numerical and univariate
Numerical and bivariate
Categorical and univariate
Categorical and bivariate
Answers
The characteristics that describe the following data-set are given as follows:
Categorical and bivariate.
How to classify the variables?First, we classify the variable as either numerical or categorical, as follows:
Categorical variable: The possible values assumed by the variable are labels, such as yes/no, good/bad, hairs, nails, and so on...Numerical variable: The values assumed by the variable are numbers.In the context of this problem, the variables are as follows:
Type of service: Hairs, nails or skin, the three of which are labels.Age: 18 years or younger, or over 18 years old, hence assuming a yes/no format.Thus the variable is categorical.
Additionally, there are two variables in this problem, the ones stated above, the type of service and the age, hence the data set is classified as bivariate.
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PRACTICE
For each graph, find the a. domain and range, b. positive and negative interval(s), and c. interval(s) of increasing and decreasing values.
Answers
A function's "positive regions" are those times when it is above the x-axis. Y-values that are positive are where it is (not zero). The portions of a function that are below the x-axis are known as its negative regions. Where the y-values are negative is there (not zero).
The interval widens if the function's first derivative is f' (x) 0.
On the other hand, the interval is referred to as a declining interval if the value of the derivative f' (x) 0.
How does negative interval work?The mean of the first population is higher than that of the second population for an interval range with exclusively positive values. The mean of the first population is lower than that of the second population for an interval range with only negative values.The range that the genuine difference in means falls within is shown by the 95% confidence interval. Because the difference in means could be negative, the CI can therefore include negative numbers.It is perfectly OK to replace the lower endpoint with zero if the lower endpoint of a confidence interval for a population percentage is negative because doing so does not reduce the level of confidence. A population percentage cannot be more than 100%, either.Only in the sense that, depending on the range of the data, one or more of the confidence interval's bounds (upper or lower) may be negative. The upper-lower interval will inevitably always be positive.To learn more about negative interval refer to:
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need help asap!!!!!
Answers
Using the quadratic formula, the values in the form a + bi is 1 + 4i.
What do we mean by quadratic formula?The quadratic formula is a formula used to solve quadratic equations in elementary algebra. There are alternatives to using the quadratic formula to solve quadratic equations, including factoring, completing the square, graphing, and others.Quadratic formula: [tex]D = \frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]So, represent in the form a + bi:
Given equation: [tex]\frac{4+\sqrt{16 - (4)(5)} }{2}[/tex]
From the equation, we can assume that the value of b is 4 and the value a must be 1.When the value of a will be 1, then only the denominator can be 2 as 2(1) = 2.Hence, 1 + 4i.
Therefore, using the quadratic formula, the values in the form a + bi is 1 + 4i.
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I AM GROUNDED AND NEED A BETTER GRADE PLEASE AND THANK YOU IN ADVANCE
Answers
Answer:
y=90, x=56
Step-by-step explanation:
y has a 90 degree indicator, sum theory solves x
Answer:
x = 56
y = 90
Step-by-step explanation:
34 + 90 + x = 180
124 + x = 180
x = 56
y = 90
