Which number has 2 as a factor
Answers
Answer: 2 and 1 are the only factors
Step-by-step explanation: The definition of factor is the numbers that can be multiplied to get the said number. In this case the said number is 2. The only numbers that multiply to get 2 are 2 and 1.
Related Questions
I feel like this one might be a pretty easy question
Answers
Answer:
-29
Step-by-step explanation:
replace the variables with the numbers provided. m = -4 so replace the m in the equation with -4:
3 - (-4)n
same thing with the n. n=-8 so replace the n in the equation with -8:
3 - (-4)(-8)
and then all you have to do after that is solve it using PEMDAS
multiply -4 and -8 first:
3 - 32
then solve 3-32 and you end up with -29.
Given: Circle O with diameter CDC (-7, -1) and D (1,2)Create the equation of this circle,+-:: (2+3):: (y – 1):: (y + 1):: 25:: 100
Answers
Explanation
The equation of a circle with center (h,k) and radius r units is given by:
\((x-h)^2+(y-k)^2=r^2\)then
Step 1
find the diameter of the cirlce:
to do this, we can use the distance between two points formula:
if
\(\begin{gathered} A\mleft(x_1,y_1\mright) \\ B(x_2,y_2) \end{gathered}\)the distance from A to B is
\(\begin{gathered} d_{AB}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}\)so,let
distance CD=
\(\begin{gathered} CD=\sqrt[]{(1-(-7))^2+(2-(-4))^2} \\ CD=\sqrt[]{(8)^2+(6)^2} \\ CD=\sqrt[]{64+36} \\ CD=\sqrt[]{100} \\ CD=10 \end{gathered}\)hence, the diameter of the circle is
\(\begin{gathered} \text{diameter}=10 \\ w\text{e know also} \\ \text{diameter}=2\cdot\text{raidus} \\ \frac{\text{diamteter}}{2}=radius \\ \text{replace} \\ \frac{10}{2}=\text{ radius} \\ \text{radius}=5 \end{gathered}\)Step 2
find the center of the circle:
the center of the circle is the midpoint of CD
so
\(\text{midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)replace
\(\begin{gathered} \text{midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{midpoint}=(\frac{-7+1}{2},\frac{-4+2_{}}{2}) \\ \text{midpoint}=(\frac{-6}{2},\frac{-2}{2}) \\ \text{midpoint}=(-3,-1) \\ \end{gathered}\)so, the center of the circle is (-3,-1)
Step 3
finally, replace in the formula to get the equation of the circle
let
\(\begin{gathered} center=\mleft(-3,-1\mright) \\ radius=5 \end{gathered}\)replace
\(\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-3))^2+(y-(-1))^2=5^2 \\ (x+3)^2+(y+1)^2=25 \end{gathered}\)therefore, the answer is
\((x+3)^2+(y+1)^2=25\)I hope this helps you
Algebra 1 common assessment unit 2-1 SY23
Answers
Answer:
\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)
Ze and function. after a suitable period of time, the concentration of bacteria in the air was measured (in units of bacteria per cubic foot) in all of these rooms. the data and summaries are provided: carpeted rooms: 184 22.0 uncarpeted rooms: 175 16.9 the approximate degrees of freedom for the t-statistc is: 6 7 14 none of the above
Answers
Ze and function doesn't seem to relate to the provided data and summaries about concentration of bacteria in carpeted and uncarpeted rooms.
However, based on the given information, the approximate degrees of freedom for the t-statistic cannot be determined as it is not specified how many observations were made in each type of room. The terms "Ze" and "function" are also not relevant to this question.
Based on your question, you would like to know the approximate degrees of freedom for the t-statistic when comparing the concentration of bacteria in carpeted and uncarpeted rooms. The given data includes:
Carpeted rooms: n1 = 184, X1 = 22.0
Uncarpeted rooms: n2 = 175, X2 = 16.9
To find the approximate degrees of freedom for the t-statistic, you can use the following formula:
d f ≈ (s1²/n1 + s2²/n2)² / [(s1²/n1)²/(n1-1) + (s2²/n2)²/(n2-1)]
However, the given information does not provide the sample standard deviations (s1 and s2) for the two groups, which are necessary to calculate the degrees of freedom. Therefore, it is not possible to provide an accurate answer with the provided information.
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a box contains 6 blue blocks, 13 yellow blocks, 15 blue spheres, and 17 yellow spheres. what is the probability you draw a sphere given it is blue?
Answers
The probability that you draw a sphere given that it is blue is given as follows:
5/7.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The total outcomes in this problem are the blue shapes, hence the number is given as follows:
6 + 15 = 21 shapes.
The desired outcomes are the blue spheres, hence the number is given as follows:
15.
Hence the probability that you draw a sphere given that it is blue is given as follows:
p = 15/21
p = 5/7. (simplify numerator and denominator by 3).
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What is the mode: 18,21,22,18,19
Answers
Answer:
18
Step-by-step explanation:
Mode = modal class (Recurring)
The number/value that appears the most which in this case is 18 because it can be seen twice.
Sutton takes 48 minutes to walk to work. after getting a new job, sutton takes 30.72 minutes to walk to work. what was the percent decrease in the travel time?
Answers
The percent decrease in the travel time after getting a new job is 36%.
Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".
First, determine the decrease in travel time after getting a new job by subtracting the new travel time of 30.72 minutes from the initial travel time of 48 minutes.
decrease in time = 48 - 30.72
decrease in time = 17.28
Then, determine the percent decrease by dividing the decrease in time of 17.28 minutes by the initial travel time of 48 minutes and multiply by 100.
percent decrease = (17.28 / 48) x 100
percent decrease = 36%
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a national business magazine reports that the mean age of retirement for women executives is 63.2. a women’s rights organization believes that this value does not accurately depict the current trend in retirement. to test this, the group polled a simple random sample of 78 recently retired women executives and found that they had a mean age of retirement of 64.2. assuming the population standard deviation is 4.4 years, is there sufficient evidence to support the organization’s belief at the 0.02 level of significance?
Answers
The calculated value |Z| = |-2.00722 | = 2.00722 > 2.054 at 0.02 level of significance. So their claim is wrong.
Given that the mean age of retirement for women, executives is 63.2
Given that the size of the sample 'n' = 78
Given that the mean of sample x⁻ = 64.2
Given that the standard deviation 'σ' = 4.4 years
Null hypothesis: H₀: μ ≠ 63.2
Alternative Hypothesis: H₁: μ = 63.2
Test statistic
Z = -2.00722
|Z| = 2.00722 > 2.054 at 0.02 level of significance
The calculated value |Z| = 2.00722 > 2.054 at 0.02 level of significance
Therefore, we reject the hypothesis.
Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.
The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no association between two measured events or a connection between groups.
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find the area a of the region between the graphs of the equations y2 = 8x x2 = 8y
Answers
The area of the region between the graphs y^2 = 8x and x^2 = 8y is (64/3 - 64) square units.
The area (a) of the region between the graphs of the equations y^2 = 8x and x^2 = 8y can be determined by finding the points of intersection and evaluating the definite integral of the difference in the y-coordinates.
To find the points of intersection, we set the two equations equal to each other: y^2 = 8x and x^2 = 8y. Solving these equations, we find two points of intersection: (4, 4) and (0, 0).
Next, we can set up the definite integral to calculate the area between the curves. We integrate the difference in the y-coordinates from y = 0 to y = 4 (the y-values of the intersection points). The integral expression for the area is: a = ∫[0 to 4] (y2 - x2) dy.
To simplify the integral, we need to express x in terms of y. From the equation x^2 = 8y, we get x = √(8y). Substituting this expression into the integral, we have a = ∫[0 to 4] (y2 - 8y) dy.
Evaluating the integral, we get a = [(y^3)/3 - 4y^2] evaluated from 0 to 4. Plugging in these limits, we find a = (64/3 - 64) - (0 - 0) = 64/3 - 64.
Therefore, the area of the region between the graphs y^2 = 8x and x^2 = 8y is (64/3 - 64) square units.
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three interior angles of a quadrilateral measure 55°, 117°, and 120°. what is the measure of the fourth interior angle? a.68° b.78° c.88°
d.98°
Answers
the measure of the fourth interior angle of the quadrilateral is 68° (Option A)
To find the measure of the fourth interior angle of a quadrilateral, we need to use the fact that the sum of all interior angles of a quadrilateral equals 360°. Given that three interior angles measure 55°, 117°, and 120°, we can find the measure of the fourth angle by subtracting the sum of these three angles from 360°.
First, calculate the sum of the three given angles: 55° + 117° + 120° = 292°.
Next, subtract this sum from 360° to find the fourth angle: 360° - 292° = 68°
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The point in the interior of the circle that is equidistant from every point on the circle is called the _____ of the circle.
Answers
Answer: The point in the interior of the circle that is equidistant from every point on the circle is called the center of the circle.
Step-by-step explanation:
11. A painter is hired to paint a triangular region with sides of length 50 meters, 60 meters and 74 meters. (a) What is the area of the region? Round off your answer to the nearest square meter. Writ
Answers
The area of a triangular region with given side lengths using Heron's formula is 1492 square meters.
To find the area of the triangular region, we can use Heron's formula, which states that the area (A) of a triangle with side lengths a, b, and c is given by the formula:
\(A= \sqrt{s(s-a)(s-b)(s-c)}\)
where s is the semi-perimeter of the triangle, calculated as half the sum of the side lengths: s= (a+b+c)/2.
In this case, the given side lengths of the triangle are 50 meters, 60 meters, and 74 meters.
We can substitute these values into the formula to calculate the area.
First, we find the semi-perimeter:
\(s= (50+60+74)/2 =92\)
Then, we substitute the semi-perimeter and side lengths into Heron's formula:
\(A= \sqrt{92(92-50)(92-60)(92-74)}\) ≈ 1491.86≈ 1492 square meters.
By evaluating this expression, we can find the area of the triangular region.
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You and your EMT partner arrive at the residence of a 50-year-old man who complains of weakness. Your primary assessment reveals that he is critically ill and will require aggressive treatment. The closest hospital is 25 miles away. An ALS unit is 15 minutes away. You should:
Answers
In a situation where a critically ill 50-year-old man requires aggressive treatment and the closest hospital is 25 miles away while an ALS (Advanced Life Support) unit is 15 minutes away, the appropriate course of action would be to request the ALS unit for immediate medical assistance.
Given the critical condition of the patient and the significant distance to the nearest hospital, it is essential to prioritize prompt medical intervention. The ALS unit, equipped with advanced medical equipment and personnel trained in providing advanced life support, can initiate necessary interventions and stabilization measures on-site. The shorter response time of 15 minutes also ensures that medical care can be initiated sooner, potentially improving the patient's chances of survival and reducing the risk of further deterioration during transportation to the hospital. Therefore, requesting the ALS unit for immediate assistance is the most appropriate action in this scenario.
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pleaseeeee help answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The measure of each exterior angle of a regular polygon is given by; Measure of each exterior angle =360°/n; where, n = number of sides of a polygon. One important property about exterior angles of a regular polygon is that, the sum of the measures of the exterior angles of a polygon is always 360°.
Answer:
160 degrees
I searched this up because I also have very little knowledge in these kinds of questions
select the correct volume. sarah has a solid wooden cube with a length of centimeter. from each of its 8 corners, she cuts out a smaller cube with a length of centimeter. what is the volume of the block after cutting out the smaller cubes?
Answers
The volume of the block after cutting the smaller cubes is:
volume = 56/125 \(cm^{3}\)
What is volume?
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.
The formula to calculate the volume of the cube is given by:
Volume = \(a^{3}\), where a is the length of its sides or edges
Length of solid wooden cube= \(\frac{4}{5} cm\)
Length of smaller wooden cube= \(\frac{1}{3} cm\)
Volume of the large cube = \((\frac{4}{3} )^{3}\)
Volume of the large cube = \(\frac{64}{125} cm^{3}\)
Volume of the small cube = \(\frac{1}{5} cm^{3}\)
Volume of the small cube = \(\frac{1}{125} cm^{3}\)
Volume of block after cutting out the smaller cubes is
= \(\frac{64}{125} -\frac{(8)(1)}{125}\)
= \(\frac{64-8}{125}\)
=\(\frac{56}{125}\)\(cm^{3}\)
Hence, the volume of the block after cutting the smaller cubes is:
volume = 56/125 \(cm^{3}\)
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Solve the following system of equations. Show all work and solutions.
y = 3x2 + 6x + 4
y = −3x2 + 4
Answers
Solving 2 quadratic equations we get (0,4) and (-1.1) are common points.
What are Quadratic equations?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.
\(Ax^2 + bx + c = 0\), where x is an unknown variable and a, b, and c are numerical coefficients, is the quadratic equation's general form. An example of a quadratic equation is \(x^2 + 2x + 1\). Here, a is greater than zero because if it equals zero, the equation will no longer be quadratic and will change to a linear equation, such as \(bx+c=0\).
As a result, we cannot refer to this equation as a quadratic equation.
Another name for the terms a, b, and c is quadratic coefficients.
Solutions of quadratic equation are called Zeroes or Roots.
Calculation:\(y=3x^2+6x+4\\y=-3x^2+5\\\)
Equating y of both equations
\(3x^2+6x+4=-3x^2+4\\6x^2+6x=0\\x(x+1)=0\\x=0,-1\)
\(y=-3(0)^2+4=4\\y=-3(-1)^2+4=1\)
⇒(0,4) and (-1.1)
Solving 2 quadratic equations we get (0,4) and (-1.1) are common points.
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What is the value of in if the remainder of n/4 is 2?
O A. -1
О в. і
O c. -i
O D. 1
Answers
To encourage recycling many states require a $.70 deposit or drink containers the total deposit di you pay depends on the number of containers N You by the function D =0.07N could be used to describe the situation if you deposit $1.40 how many containers do you buy?
Answers
Answer:
20 containers
Step-by-step explanation:
Given:
D = 0.07N
Where,
D = Amount of deposits
N = Number of containers
If D = $1.40 find N
D = 0.07N
1.40 = 0.07N
Divide both sides by 0.07
N = 1.40 / 0.07
= 20
N = 20 containers
if you deposit $1.40, you will buy a total of 20 containers.
PLS DO THIS ASAP ASAP 95 POINTS
Answers
The terms in the matching are;
A - Falling action
B - Exposition
C - Rising action
D - Climax
What is the climax of a storyline?
The climax, or most intense and important moment, in a narrative is known as the turning point in storytelling. The story's resolution is frequently decided at the height of tension or conflict, where the stakes are highest. Usually, the story's climax comes at the conclusion, following the rising action but before the falling action and resolution.
The protagonist faces the primary antagonist during the climax, setting off a pivotal and crucial event that drives the plot towards its conclusion.
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What is the simplified form of (6r+7)+(13+7r)
Answers
Answer: 13r + 20
Ok done. Thank to me :>
Answer:
13r + 20Step-by-step explanation:
What is the simplified form of (6r+7)+(13+7r)
(6r + 7) + (13 + 7r)
6r + 7 + 13 + 7r =
13r + 20
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of = 66 hours with a standard deviation of 8 = 6.2 hours You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.5 hour margin of error? Round your answer up to the nearest whole number. n= bacteria
Answers
You should gather a sample of at least 29 bacteria to estimate the mean lifespan for this species of bacteria with a margin of error of 0.5 hours at a 98% level of confidence.
We are given a preliminary sample of 35 bacteria with a sample mean of 66 hours and a standard deviation of 6.2 hours. We need to calculate the sample size required to achieve the desired margin of error.
To calculate the sample size, we can use the formula:
n = (Z * σ / E)²
Where:
n is the required sample size
Z is the z-score corresponding to the desired confidence level (98% confidence corresponds to a z-score of 2.33)
σ is the standard deviation of the population
E is the desired margin of error
Plugging in the values, we have:
n = (2.33 * 6.2 / 0.5)²
Calculating the expression within parentheses:
2.33 * 6.2 / 0.5 ≈ 28.84
Rounding up to the nearest whole number, the required sample size is 29 bacteria.
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f(x)=ln x
g(x)=-5ln x
???????????
Answers
Answer:
I believe you have selected all the correct answers, just give me a few seconds to make sure.
I REALLY NEED THIS
Q.12
A student was asked to determine the y-intercept for the logarithmic function f (x) = log3(x + 2) + 1. Which of the following expressions would result in the correct y-intercept?
A. the quantity log 2 over log 3 end quantity plus 1
B. the quantity log 3 over log 2 end quantity plus 1
C. 3–1 – 2
D. (–1)3 – 2
Answers
f(0) = log3(0 + 2) + 1
f(0) = log3(2) + 1
Using the change of base formula, we can convert this expression to a common logarithm:
f(0) = log(2)/log(3) + 1
Therefore, the correct expression for the y-intercept is option A: the quantity log 2 over log 3 end quantity plus 1.
Quadrilateral ABCD~ Quadrilateral WXYZ, AB= 15, BC= 27, WX= 10
Answers
The scale factor is 3/2. The length of XY is 18.
What are similar Quadrilaterals?
Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape. Real-world examples of congruent figures or objects include, for instance, both of a person's hands, both of a car's front wheels, etc.
If the corresponding angles and sides of two quadrilaterals are equal, then the two quadrilaterals are similar.
Given that Quadrilateral ABCD is similar to Quadrilateral WXYZ.
Thus
AB/WX = BC/XY = CD/YZ = AD/WZ ....(i)
The length of AB = 15, BC= 27, WX= 10
The scale factor is
AB/WX = BC/XY = CD/YZ = AD/WZ
= 15/10
= 3/2 [Divide the denominator and numerator by 5]
Take first two ratios of (i):
AB/WX = BC/XY
15/10 = 27/XY
3/2 = 27/XY
XY = 27 × (2/3)
XY = 18
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17. Callie's cat lost 41/2 pounds before having
surgery. Two weeks after having surgery, her
cat gained 2 7/8 pounds. What was the total
change in weight of Callie's cat?
Answers
The total change in the weight of Callie's cat will be - 1 5/8 pounds.
Callie's cat lost weight = 4 1/2 pounds
Lost = 9 / 2 pounds
Cat gained the weight = 2 7/8 pounds
Gained = 23 / 8 pounds
Net change = - 9 / 2 pounds + 23 / 8 pounds
= - 36 / 8 pounds + 23 / 8 pounds
= - 13 / 8 pounds
= - 1 5/8 pounds
She lost the net weight of 1 5/8 pounds.
Therefore, the total change in the weight of Callie's cat will be - 1 5/8 pounds.
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__________ is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.
Answers
Diffusion is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.
In a simple language, whenever there is a change in one character of the plaintext there is a multiple changes in the ciphertext. The changes do not reveal the information as the structure of plaintext.
What is ciphertext?
Whenever the encrypted text changes from plaintext to encrypted algorithm then it is known as the ciphertext. It cannot be read until it is decrypted with the help of the key. And the decryption cipher algorithm changes ciphertext to plaintext text to make it readable.
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help meeeeeee plzzz
Answers
Answer:
The mode is 4 and the median is 5.4 read the explantion :DDD
Step-by-step explanation:
It super easy but u get there for the mode you have to put it least to greatest and the find the one that occurs the most and for the median u have to add all the number up and divid it by how many numbers they are like 5+7+3+8+4 is 27 divied by 5 is 5.4 i hope i help you :DDDD u need to know and understand it.
Quadrilateral J K L M has vertices J(-10,2), K(-8,-6), L(5,-3) , and M(2,5) . Determine whether J K L M is a rectangle using the Slope Formula.
Answers
The Quadrilateral JKLM is not a rectangle.
The Slope Formula states that the slope between two points (x1, y1) and (x2, y2) is given by:
\(\[m = \frac{y2 - y1}{x2 - x1}\]\)
Let's calculate the slopes of the four sides of quadrilateral JKLM and check if they meet the conditions for a rectangle:
Slope of side JK:
\(\[m_{JK} = \frac{-6 - 2}{-8 - (-10)} = \frac{-8}{2} = -4\]\)
Slope of side KL:
\(\[m_{KL} = \frac{-3 - (-6)}{5 - (-8)} = \frac{3}{13}\]\)
Slope of side LM:
\(\[m_{LM} = \frac{5 - (-3)}{2 - 5} = \frac{8}{-3}\]\)
Slope of side MJ:
\(\[m_{MJ} = \frac{2 - 5}{-10 - 2} = \frac{-3}{-12} = \frac{1}{4}\]\)
For a quadrilateral to be a rectangle, the opposite sides must have equal slopes and the adjacent sides must have negative reciprocal slopes.
In JKLM, we see that the slopes of adjacent sides JK and KL are -4 and 3/13, respectively, which are not negative reciprocals of each other. Therefore, JKLM is not a rectangle.
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HELP ASAPP SHOW YOUR WORK i’ll mark brainliest!
Answers
Answer:
(x,y) (1, -4)
Step-by-step explanation:
3x-7= -4x
x=1
y= -4x1
y= -4
(x,y) (1, -4)
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A certain car is rated to get 26 miles per gallon. How far can it travel on 12.5 gallons of gas?
Answers
Our car can do 26 miles with one gallon, so, if we have 12.5 gallons, to find how much we can travel we need to make the product of the amount of gallons we have by the amount of milles we can do with one gallon, wich gives us the expression:
\(12.5\times26=325\)So our car can travel 325 miles with 12.5 gallons of gas.