Answers
Answer:
some examples are 1, 2, 3, 4
Related Questions
32 = 25t ^ 2 - 4 round to the nearest tenth
Answers
Answer:
t = 1.2, -1.2
32 + 4 = 25t^2
36 = 25t^2
Root of 36 = root of 25t
6 = 5t
6/5 = t
Therefore t = +-1/2 or +-6/5
On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that the system is a Wii console.
Answers
Step-by-step explanation:
a probability is always desired cases over total possible cases.
so, we have actually 8 systems (5 + 3) we can pick from.
therefore, the total possible cases are 8.
the desired case is in this question to pick one of the 3 Wii consoles.
the probability to pick a Wii is therefore
3/8 = 0.375
Answer:
3/8, or 37.5%
Step-by-step explanation:
There are 8 different playing devices there.
There are only 3 Nintendo Wii consoles.
So, the probability is 3/8
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answers
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
Use completing the square to solve the equation x^2+16x=-44.
Answers
x^2+16x=-44
Complete the square on the left hand side and add the answer to the right side to balance it
(16/2)^2=(8)^2=64
x^2+16x+64=-44+64
Simplify the equation
(x+8)^2=20
Find the roots of both sides
x+8=4.5 to nearest tenth
x=4.5-8
x=-3.5
Hope it helps
we need to add 64 on both sides and required equation is x=-8±2√5-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x²+16x=-44
Now we need to make the coefficient of x variable half and to square it.
(16/2)²=8²=64
Now add 64 on both the sides
x²+16x+64=-44+64
x²+16x+64=20
(x+8)²=20
x+8=±√20
x+8=±2√5
Now subtract 8 on both sides
x=-8±2√5-8
Hence, we need to add 64 on both sides and required equation is x=-8±2√5-8
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Evaluate log4 25 using common logarithms or natural logarithms. Round your answer to the nearest thousandth.
log4 25
Answers
Answer: 20 log (2)
Step-by-step explanation:
Answer: Logarithms are mathematical functions that are used to represent the relationship between two quantities that are related by a power law. For example, if we have an exponential equation like 2^x = 8, we can use logarithms to solve for x: log2 8 = x.
In general, logarithms are written in the form logb a, where b is the base of the logarithm and a is the number we want to take the logarithm of. There are several different bases in that logarithms can be written in, including the common logarithm (base 10) and the natural logarithm (base e).
To evaluate a logarithm, we need to use the logarithmic properties and the change of base formula. One important property of logarithms is that logb (xy) = logb x + logb y. Another property is that logb (x/y) = logb x - logb y.
The change of base formula is used when we need to evaluate a logarithm in a different base than the one given. The formula is:
logb a = logc a / logc b
where c is any base other than b or a. By using this formula, we can convert a logarithm from one base to another in order to evaluate it using a calculator.
In the case of log4 25, we can use the common logarithm (base 10) or the natural logarithm (base e) to evaluate the logarithm. Using the change of base formula with the common logarithm, we have:
log4 25 = log(25) / log(4)
Using a calculator, we find that log(25) ≈ 1.39794 and log(4) ≈ 0.60206, so:
log4 25 ≈ 1.39794 / 0.60206
Simplifying this expression, we get:
log4 25 ≈ 2.32193
Rounding to the nearest thousandth, we get:
log4 25 ≈ 2.322
So, the value of log4 25 to the nearest thousandth is 2.322.
Step-by-step explanation:
Vincent counts 30 dimes and 87 pennies in a bowl how many more pennies than dimes are in the bowl
Answers
Explanation:
87-30= 57
Answer:
87-30=57
step-by-step explanation:
The question asked was how many more pennies are in the bowl than dimes so obviously u have to subtract but subtraction isn't as simple as you think.
for example if you had put subtract it like this
30-87 the answer would have been -57 so to simply avoid that you will have to put 87-30 to get a positive answer
The results of a political poll indicate that the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Let x represent the true percentage of votes received by this candidate. Write an absolute value inequality that represents an interval in which to estimate x.
Select one:
a. |x - 52| ≥ 0.05
b. |x - 52| ≤ 0.05
c. |x - 0.05| ≥ 52
d. |x - 0.05| ≤ 52
Answers
The absolute value inequality that models the function is given by:
b. |x - 0.52| ≤ 0.05Absolute value:The absolute value function measures the distance of a point to the origin, and is defined by:\(|x| = x, x \geq 0\)
\(|x| = -x, x < 0\)
In this problem, the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Hence, the difference between his percentage of votes x and 0.52 should be at most plus/minus 0.05, that is:
\(|x - 0.52| \leq 0.05\)
Hence, option b is correct.
You can learn more about absolute value inequality at https://brainly.com/question/24005819
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
Answers
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
For more such questions on percentage.
https://brainly.com/question/24877689
#SPJ8
What is the correct answer to this question?
Answers
In accordance with Pythagorean theorem, no point is 4 units away from point M.
What point is 4 units away from point M?
In this problem we find the coordinates of points A, B, C, whose coordinates are (- 4, 2), (2, 7) and (8, - 6), respectively, and the location of point M, whose coordinates are (- 4, - 6), all set on Cartesian plane. We need to determine if at least one of those three points (A, B, C) are four units away from point M. This can be checked by means of Pythagorean theorem:
AM = √[(- 4 - 2)² + [- 6 - (- 4)]²]
AM = √[(- 6)² + (- 2)²]
AM = 2√10 = √40
BM = √[(- 4 - 2)² + (- 6 - 7)²]
BM = √[(- 6)² + (- 13)²]
BM = √205
CM = √[(- 6 - 8)² + [- 4 - (- 6)]²]
CM = √[(- 14)² + 2²]
CM = 10√2 = √200
There is no point that is four units away from point M.
To learn more on Pythagorean theorem: https://brainly.com/question/14930619
#SPJ1
Yall know the answer?
Answers
Answer:
pretty sure its 4
Step-by-step explanation:
hope it helps
You observe the following pattern: J, K, N, B. What is the next letter in the sequence?
a. X
b. B
c. G
d. U
e. E
f. S
Answers
Answer:
C. G
Step-by-step explanation:
Find the lengths of the sides of the triangle (). Is it a right triangle? Or is it an Isosceles triangle.
(, −, ), (, , ), (, −, )
Answers
It is not an isosceles triangle.
An isosceles triangle is what?
Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.For an isosceles triangle two sides must have same length.
We will use the distance formula to find the lengths.
\(PQ = \sqrt{( 4 - 2 )^{2} + ( 1 + 1)^{2} + ( 1 - 0 )^{2} }\) = 3
\(QR = \sqrt{( 4 - 4 )^{2} + ( -5 -1 )^{2} + ( 4 - 1 )^{2} } = 3\sqrt{5}\)
\(PR = \sqrt{( 4 - 2 )^{2} + ( -5 + 1 )^{2} + ( 4 - 0 )} = 6\)
Since no sides are of the same length, so it is not an isosceles triangle.
Learn more about isosceles triangle
brainly.com/question/2456591
#SPJ9
The complete question is -
Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles triangle? P(2, -1, 0), Q(4, 1, 1), R(4, -5, 4)
(12²-15+17)+16= what is the answer
Answers
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
Tell whether the triangles are similar.Explain.
Answers
Answer: 13. yes 14. no
Step-by-step explanation:
13. same angles sized down
14. different angles sized down
I need help with this practice problem solving It asks to simplify
Answers
Given:
\(\frac{[(2i)^4]^2}{16i^5}\)Find-:
Simplify
Sol:
Simplify then:
Value of :
\(\begin{gathered} i=\sqrt{-1} \\ \\ i^2=-1 \\ \\ i^4=1 \end{gathered}\)So the simplification is:
\(\begin{gathered} =\frac{[(2i)^4]}{16i^5} \\ \\ =\frac{2^4\times i^4}{16i^4\times i} \\ \\ =\frac{16\times1}{16(1)\times i} \\ \\ =\frac{16}{16i} \\ \\ =\frac{1}{i} \end{gathered}\)Simplify the value is:
\(\begin{gathered} =\frac{1}{i} \\ \\ =\frac{1}{i}\times\frac{i}{i} \\ \\ =\frac{i}{i^2} \\ \\ =\frac{i}{-1} \\ \\ =-i \end{gathered}\)So simplify value is: "-i"
The rectangle below has the dimensions 6.9 x 5.2 create another rectangle that is scaled to 4 times the size of the current rectangle I need this answer fast
Answers
A rectangle that is scaled to be 4 times the size of the given rectangle would have the dimensions of 27.6 x 20.8.
How to create the rectangle ?When a rectangle is said to be scaled to be a certain number of times more than the size of another rectangle, it means that both rectangles will have the same shape and orientation, but their dimensions will be different.
This difference will come from the change that the scale factor brought about. In this instance, the scale factor is 4 times which means that the second rectangle will be 4 times the size of the first.
The first dimension would be :
= 6 . 9 x 4
= 27.6 units
The second dimension would be:
= 5 . 2 x 4
= 20. 8 units
The dimensions would then be:
27. 6 x 20. 8
Find out more on rectangles at https://brainly.com/question/2826496
#SPJ1
What is the domain if the rational expressions X(x-2/(x- 2)(x+ 3) and x/x+3 are equivalent? A. all real numbers except -3 B. all real numbers except -2 C. all real numbers except -3 and 2 D. all real numbers except 2
Answers
Answer:
C. all real numbers except -3 and 2
Step-by-step explanation:
These two numbers will make the denominator equal to zero.
The domain of the rational expression is all real numbers except -3 and 2. The correct option is C.
What is a domain?The domain of the function is defined as the set of all the possible values of the function. The range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.
Given rational expression is,
E = x(x-2/(x- 2)(x+ 3)
For the above rational expression when we substitute the values of x as 2 and -3 the rational expression will give undefined values.
Therefore, the domain of the rational expression is all real numbers except -3 and 2. The correct option is C.
To know more about the domain follow
https://brainly.com/question/2264373
#SPJ2
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answers
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
What is the percentage form of 49/58?
Answers
Answer:
84.4%
Step-by-step explanation:
9 divided by 58 = 0.844.
Next, multiply 0.844 by 100 for the percentage
0.844x100 = 84.4%
Answer:
84.48%
Step-by-step explanation:
Convert 49/58 to Percentage by Converting to Decimal
With this method, we first need to divide the numerator by the denominator:
49 ÷ 58 = 0.8448275862069
We can see that this gives us the exact same answer as the first method: 49/58 as a percentage is 84.48%.
Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.
what is the slope of -3 up to positive 3
Answers
The line or points has a slope value of -1
How to determine the slope of the point?From the question, we have the following statement that can be used in our computation:
The slope of -3 up to positive 3
For a start, we represent the above parameters using an ordered pair
The ordered pair is represented as
(x, y) = (-3, 3)
The slope of the point is then calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3, 3) and (0, 0)
The coordinate (0, 0) represents the origin
Substitute the known values in the above equation
So, we have the following equation
Slope = (3 - 0)/(-3 - 0)
Evaluate the difference
So, we have the following equation
Slope = (3)/(-3)
Evaluate the quotient
So, we have the following equation
Slope = -1
Hence, the slope is -1
Read more about slope at
https://brainly.com/question/29135291
#SPJ1
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
Read more on equation of a circle here: brainly.com/question/17028215
#SPJ1
In a statistics class, students were asked how many siblings they have. The mean number of siblings for the class is 3.08 with a standard deviation of 1.61 siblings. The z-score for a student with four siblings is 0.57. Which of the following statements is the best interpretation of the z-score?
Answers
Answer:
The number of siblings for this student is 0.57 standard deviations above the mean number of siblings.
Step-by-step explanation:
yes
ANYONE PLEASE HELP
I'M CONFUSED WITH THIS!!
Write, in words, a situation with the given equation. (Make up your own variables for y and x, that would make the equation true.)
y = 2x
Answers
A word problem that can represent the situation is Jordan is twice as old as his brother
How to determine the word problemFrom the question, we have the following equation that can be used in our computation:
y = 2x
The above equation implies that:
The variable y is twice the variable x
Next, we use the following representations:
y =Jordan's age
x = his brother's age
This means that Jordan is twice as old as his brother
Read more about word problem at
https://brainly.com/question/21405634
#SPJ1
2.7 divided by 22.41
Answers
Answer:
\(\frac{10}{83}\)
I hope this helps!
Find the ratio of the perimeter of △ABC to the perimeter of △XYZ.
Answers
The ratio between the perimeter of triangle ABC and the perimeter of triangle XYZ is given as follows:
1/3.
What is the perimeter of a triangle?The perimeter of a triangle is the total length of its three sides. To find the perimeter of a triangle, you need to add up the lengths of all three sides.
The ratio between the side lengths of triangle ABC and triangle XYZ is given as follows:
5/15 = 1/3.
The perimeter of a triangle is measured in units, as area the side lengths, hence they have the same ratio, and thus the ratio between the perimeter of triangle ABC and the perimeter of triangle XYZ is given as follows:
1/3.
More can be learned about the perimeter of a triangle at https://brainly.com/question/24382052
#SPJ1
A school supervisor wants to determine the percentage of students that bring their lunch to school. What method would assure random selection of a sample population?
Answers
To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.
Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:
Define the population: The school supervisor needs to clearly define the population of interest, which would be all the students in the school.Assign a unique identifier: Each student should have a unique identifier, such as a student ID number, to differentiate them from one another.Generate a sampling frame: A sampling frame is a list of all the unique identifiers of the students. This could be obtained from the school's records or databases.Determine the sample size: The school supervisor needs to decide on the desired sample size, ensuring it is representative of the population while being practical to manage.Use a random selection method: Employ a random selection method, such as using a random number generator or a random number table, to select the required number of unique identifiers from the sampling frame.Contact selected students: Once the sample has been selected, the chosen students can be contacted to participate in the survey or data collection regarding whether they bring their lunch to school.know more about percentage here:
https://brainly.com/question/24877689
#SPJ8
Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Answers
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
13x-x = 8+ 4
12x= 12
X= 1
definition of the difference quotient of a function
Answers
Answer:
Step-by-step explanation:
The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.
Use vector notation to describe the points that lie in the given configuration. (Let s and t be elements of the Reals.)
The plane spanned by:
v1 = (6, 5, 0)
and
v2 = (0, 6, 5)
l(s, t) = ?
Answers
Answer: I(s,t) = {(6s, 5s+6t, 5t)| sER, tER }
Step-by-step explanation:
Given the data in the question;
A vector is in the span of V1 and V2 only if it is a linear combination.
of V1 and V2.
so 'V' is in the span if;
V = SV1 + tV2 [ S and t are real numbers ]
V = [ 6si + 5sj ] + [ 6tj + 5tz]
V = 6s, 5s+6t, 5t
so
I(s,t) = {(6s, 5s+6t, 5t)| sER, tER }
Vector notation is indeed a commonly utilized notation in maths and physics for expressing vectors, which can be either Euclidean carriers or, more generally, members of a vector space, and the calculated value "\(\bold{I(s,t) = {(2s,7s+2t,7t)| sER, tER}}\)".
Vector notation calculation:Vectors, like any other variable, are frequently represented in advanced maths as a basic italic font.A vector is a linear combination of \(v_1\ \text{and} \ v_2\), it would be in the span of \(v_1\ \text{and} \ v_2\). In other words, if v is in the span, it would be in the span.\(v = s v_1 + t v_2\) [ s and t are real numbers ]
\(v = [2si + 7sj ] + [ 2tj + 7tz]\\\\v = 2s,7s+2t,7t\\\\I(s,t) = {(2s,7s+2t,7t)| sER, tER}\)
Find out more information about the vector notation here:
brainly.com/question/24974842
Help I need help with this answer
Answers
Answer:
5.4 cm^2
Step-by-step explanation:
Area of a triangle is calculated by multiplying height to the base and that divided by two
5.4 × 2 ÷ 2 = 5.4 cm^2