are the figures similar why or why not?
Answer: Yes
Step-by-step explanation:
because their overall shape it the same, their size is the only thing that sets them apart, so they're not identical
Is a total of 13 horses complete in the horse race the bell mistakes and how many different ways can the top 5 position be arranged
SOLUTION:
Questions involving arrangement is permutation, while questions involving selection is combination.
Since the given question involves arrangement, so the correct option is PERMUTATION.
The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.
[tex]^{13}P_5\text{ = 154,440 ways}[/tex]Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation. pls hurry 10 mins left
A statement which best describes Gary’s error is that: Gary did not use correct factors for 66 in the equation.
What is the distribution property of multiplication?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
a(b + c) = ab + ac.
Also, the correct greatest common factor of 66 and 36 is given by:
Greatest common factor (GCF) = 6
By applying the distributive property of multiplication, we have:
66 + 36 = 6(11 + 6)
Read more on factor here; https://brainly.com/question/28216114
#SPJ1
Can you help me pls with the answers
The remainder when 14 is divided by 3 is 2
What is remainder?
When we divide a number by another number if at the end if we have a number less than quotient and we can not divide further we say that the remaining number is remainder.
We are given a number as 14 and we divide 14 by 3
And on dividing 14 by 3 we get the quotient as 4 and remainder as 2.
Hence the remainder we get on dividing 14 by 3 is 2.
To learn more about remainder please refer
https://brainly.com/question/27749132
#SPJ13
A 46 gram sample of a substance that's a by product of fireworks has a k-value of 0.1394. Find the substance's half-life in days. Round your answer to the nearest tenth.
N=N0e^-kt
The half life obtained to the nearest tenth is 5.0 days.
What is the half life?The half life is the time taken for only half of the initial amount of the radioactive substance to remain. We know that we have to use the formula;
N=N0e^-kt
N = amount present at time t
No = Amount initially present
k = The constant
t = The half life
We now have that;
HALF LIFE = O.693/k
We have to recall that the term k is the decay constant for the process as shown.
Half life = O.693/0.1394
Half life = 5.0 days
Learn more about half life:https://brainly.com/question/20593538
#SPJ1
-7/9y = -42 solve for y and simplify your answer as much as possible. please answer this
Answer:
y = 54
Step-by-step explanation:
a) Multiply both sides by 9/(-7).
(9/-7) * (-7/9 y) = (9/-7) * (-42)
y = 54
If three points a, b, and c lie on the same line, then b is between a and c if and only if the distance from a to c is equal to the sum of the distances from a to b and from b to c. Write an absolute value equation to represent the definition of betweenness.
The absolute value equation to represent the definition of betweenness is
AB + BC = AC ↔ B ∈ A,C
Absolute value equation:
An absolute value equation is a function that contains an algebraic expression within absolute value symbols.
Given,
Here we have the statement "If three points a, b, and c lie on the same line, then b is between a and c if and only if the distance from a to c is equal to the sum of the distances from a to b and from b to c.".
Here we need to find the absolute value function for this statement.
In order to find the absolute value equation,
First we have to identify the symbols for the terms mentioned in the statement they are,
between = ∈
if and only if = ↔
sum = +
Now, we have to divide the statement as two parts.
First one is, "c lie on the same line, then b is between a and c"
It can be written as,
B ∈ A,C
Then the second part is, "the distance from a to c is equal to the sum of the distances from a to b and from b to c."
Which can be written as
AB + BC = AC
When we combine it, the we get the absolute value equation as,
B ∈ A,C ↔ AB +BC = AC
To know more about Absolute value equation here.
https://brainly.com/question/2166748
#SPJ1
HELP!! also please do not give me the answer i just need help knowing how to solve this! :)
Using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving multiple operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).So, the piece of wood which will have the least amount of unused wood:
The piece of wood Tomas will cut is √11.We know that √11 is 3.313.31 is more than 3 and less than 4.
3 < 3.31 < 4So, wooden pieces of 4 feet will have the least unused wood.
Therefore, using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
Know more about mathematical operations here:
https://brainly.com/question/28937023
#SPJ13
I need explanation with this problem been struggling and it's practice for my exam coming up this semester
The first part of the journey took 4/3 hours (80 minutes)
The last part of the journey too 2/3 hours (40 minutes)
Here, we want to set-up equations to solve
We start by filling the table
Line 1
The rate for the first part of the race is 90 mph
The time for the first part of the race is F
Line 2
The time for the second part of the race is L
The distance (product of the rate and time) is 60L
So, adding these up give us the following equations to be added and solved below;
[tex]\begin{gathered} f\text{ + l = 2} \\ 90\text{ f + 60l = 160} \end{gathered}[/tex]So, we proceed to solve these equations simultaneously
[tex]\begin{gathered} \text{from equation i, f = 2-l} \\ \text{substitute this into i}i \\ 90(2-l)\text{ + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-160} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30} \\ \\ l\text{ = }\frac{2}{3}\text{ hours} \end{gathered}[/tex]To get f, we simply substitute l into the first part of the equations;
[tex]\begin{gathered} \text{from; f = 2-l} \\ \\ f\text{ = 2-}\frac{2}{3} \\ f\text{ = }\frac{4}{3}\text{ hours} \end{gathered}[/tex]Since an hour is 60 minutes;
[tex]\begin{gathered} l\text{ = }\frac{2}{3}\times\text{ 60 = 40 minutes} \\ \\ f\text{ = }\frac{4}{3}\times60\text{ = 80 minutes} \end{gathered}[/tex]What is the y value of the y-intercept of the line that contains the points (-8,-5)
and (10, 67)?
We will see that the linear equation that passes through the two given points is:
y = 4x + 28
So the y-intercept is y = 28.
How to find the y-intercept of the line?First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:
m = (y₂ - y₁)/(x₂ - x₁)
Here our line passes through (-8,-5) and (10, 67), then the slope is:
m = (67 + 5)/(10 + 8) = 4
So we can write:
y = 4*x + b
To find the value of b we can use the point (-8,-5), replacing these values we get:
-5 = 4*-8 + b
-4 + 4*8 = b
28 = b
So the y-intercept is 28.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Lena purchased a prepaid phone card for 30.50 . calls cost 15 cents a minute using this card. the credit, c (in dollars), left on the card after it is used for minutes of calls is given by the following. how much credit is left on the card after lena uses it for 15 minutes of calls?
Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.
Given that,
Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls
It can be written as,
C(x) = 30.50 - 0.15x
C(x) = 30.50-(0.15 x 15)
after Lena uses it for 15 minutes,
C(x) = 30.50 – 2.25 = $28.25 in remaining credits.
Learn more about credits click here :
https://brainly.com/question/15135221
#SPJ4
help pls it's so hard (that's what she said) but fr
If we draw a vertical line and it crosses the figure more than once, then it is not a function.
So, the only graph that a vertical line will intersect the line once is graph A:
B, C and D are intersected more than 1 time, so they are not functions.
Answer: A
The equation for line s can be written as y = 3/10x + 8. Line t is parallel to lines and passes through (-7, -2). What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).
What is the line's slope-intercept form?The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.y= 3 / 10x + 8
The slope-intercept form isy=mx+b, where
m is the slope and b is the y-intercept.y=mx+b
Reorder termsy=3/ 10x+8
Use the slope-intercept form to find the slope and y-intercept.Using the formula y = m x + b, determine the values of m and b.m=3/10 b=8
The value of m represents the line's slope, and the value of b represents the y-intercept.Slope: 3/ 10, and the y-intercept is at (0, 8).
Two points can be used to graph any line. To determine the corresponding y values, enter the equation with two chosen x values.Phrase reordering y = 3 /10 x + 8The x and y values should be put into a table.x y
0 8
10 11.
To Learn more about line's equation refer to:
https://brainly.com/question/18831322
#SPJ1
A fair coin is flipped 10 times. Each flip is independent.
What is the probability of getting exactly eight heads?
Answer:
8 out of 10.
Step-by-step explanation:
if you flip a coin independent then it doesn't matter what the other outcomes are. So if it's a one out of two chance every time then it's 8 /10.
HURRY WILL MARK BRAINLIEST
Evaluate.
(18−42+2)21÷4⋅12
Responses
2
32
64
128
Answer:
128
Step-by-step explanation:
solve for inside parentheses:
-22x21÷4-12
do multiplication and division:
-115.5-12
subtract:
-127.5
Hope this helps
Let g(x) be the transformation, vertical translation 5 units down, of f(x)= 3x+9. Write the rule for g(x).
We can see the next function:
[tex]f(x)=3x+9[/tex]And we need to translate this function 5 units down, which results in the function g(x).
To find the rule for g(x), we can follow the next steps:
1. We know that the general rule for a function translated k units down is given by:
[tex]f(x)-k\rightarrow\text{ f\lparen x\rparen has been translated by k units down \lparen where k > 0\rparen.}[/tex]2. Then if we translate the original function by 5 units down, we will have that:
[tex]\begin{gathered} f(x)=3x+9 \\ \\ \\ f(x)-5=3x+9-5\rightarrow g(x) \\ \\ \end{gathered}[/tex]3. Therefore, g(x) will be:
[tex]\begin{gathered} g(x)=3x+9-5=3x+4 \\ \\ g(x)=3x+4 \end{gathered}[/tex]Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).
Solve 0.005x - 0.03 = 0.01
Given the equation:
[tex]0.005x-0.03=0.01[/tex]You need to solve for "x" in order to find its value:
1. Apply the Addition Property of Equality by adding 0.03 to both sides of the equation:
[tex]\begin{gathered} 0.005x-0.03+(0.03)=0.01+(0.03) \\ 0.005x=0.04 \end{gathered}[/tex]2. Apply the Division Property of Equality by dividing both sides of the equation by 0.005:
[tex]\begin{gathered} \frac{0.005x}{0.005}=\frac{0.04}{0.005} \\ \\ x=8 \end{gathered}[/tex]Hence, the answer is:
[tex]x=8[/tex]
What is the distance between the points (−7, −3) and (−7, −9) ? Responses
Jenna bought a new car for $29,000. She paid a 10% down payment and financed
the remaining balance for 48 months with an APR of 4.5%. Determine the monthly
payment that Jenna pays.
The monthly payment that Jenna pays for the new car is $1279.411 .
What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t
Given, total cost of the car = $29,000
Percentage of amount paid while in down payment = 10%
Therefore, amount paid as down payment = (10/100)*29000 = $2900
Now, amount put on loan by Jenna = A = 29000 - 2900 = $26,100
Also, number of years for which amount is loaned = n = 4 years
Annual Percentage Rate of the loan allowed = R = 4.5
Following the formula established in the literature above, we have:
26100 = P (1 + (4.5/4))⁴ ⇒ P = 26100/(1 + (4.5/4))⁴ ⇒ P = 26100/20.4
= 1279.411
The monthly payment that Jenna pays for the new car is $1279.411
To learn more about this, tap on the link below:
https://brainly.com/question/24924853
#SPJ13
the dial on a combination lock contains markings which represent the numbers from 0 to 39. how many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?
The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.
The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.
How many possible three-number combinations are there?
You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.
To learn more about Three-number combination refer to:
https://brainly.com/question/27242731
#SPJ4
In the accompanying diagram, points A, E, and B are collinear, measure of angle A= 30, measure of angle DEB= 130, and segment AB is perpendicular to segment BC. Find the measure of angle C and the measure of angle D.
Step-by-step explanation:
I assume the points D, E and C are also collinear (are on the same straight line).
that is something your teacher forgot to mention. but it is essential.
we have to remember :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on one side of a line is also always 180°.
3. the angles at the intersection point of 2 lines are the same on both sides of any of the intersecting lines, but they are left-right mirrored.
so,
angle A = 30°
angle DEB = 130°, so,
angle AED = 180 - DEB = 180 - 130 = 50°.
therefore, angle BEC = AED = 50°
therefore, angle D = 180 - 30 - 50 = 100°.
we know, angle B = 90° (AB is perpendicular to BC).
therefore,
angle C = 180 - 90 - 50 = 40°
how much rupees of 12 1/2% is Rs.45
Answer: Rs. 360
Step-by-step explanation:
let x of 12 1/2%=45
=> x.25/200=45
=> x/8=45
=> x=45.8
=> x=360
it is Rs 360
a survey conducted by a research team was to investigate how the education level, tenure in current employment, and age, are related to annual income. a sample 20 employees is selected and the data is given below. education (no. of years) length of tenure in current employment (no. of years) age (no. of years) annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 for two people a and b with the same years of education and age, suppose a's length of tenure is 2 more years than b, what would the salary difference between a and b? group of answer choices -4387.76 2193.88 2689.24 10011.92 none of the choices
The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model.
What is linear regression model?The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model. The response variable is another name for the dependent variable. Explanatory or predictive variables are other names for independent variables. Models with a single predictor are known as simple linear regression. Multiple predictor models are known as multiple linear regression. Models for numerous response variables using multivariate linear regression. Finding the weights (namely, W0 and W1) that result in the best-fitting line for the input data (i.e., the X characteristics) that we have is how linear regression functions. The line with the lowest price is chosen to be the greatest fit.Using an online multiple regression calculator, the estimated multiple linear regression equation that can be used to forecast the annual income using the number of school years completed (Education), length of tenure in the current employment, and age is as follows:
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
According to the general form of a multiple linear regression model:
-143481.1924 = intercept(c) ; where regression line crosses the origin
10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3
y = predicted variable
To learn more about linear regression model refer to:
https://brainly.com/question/25987747
#SPJ4
A family buys a studio apartment for 200,000 . They pay a down payment of 50000
Answer:
A 20% B. 45%
Step-by-step explanation:
A 40,000/200000=.2 0r 20%
b. 90,000/200000=.45 or 45%
A. Find the equation of the L line that intersects graph C at point A (2, -5). B. Find the line equation with the coefficient of direction equal to -10 and touch and graph C
Graph C has a function
[tex]f(x)=2x^3-16x+11[/tex]Since the line L intersects the graph at the point, A (2, -5)
To find the slope of the line we will differentiate the f(x) and substitute x by 2
[tex]\begin{gathered} f^{\prime}(x)=2(3)x^{3-1}-16x^{1-1}+0 \\ f^{\prime}(x)=6x^2-16 \\ m=6(2)^2-16 \\ m=24-16 \\ m=8 \end{gathered}[/tex]The slope of the line is 8, substitute it in the form of the linear equation
[tex]\begin{gathered} y=mx+b \\ y=8x+b \end{gathered}[/tex]To find b substitute x by 2 and y by -5
[tex]\begin{gathered} -5=8(2)+b \\ -5=16+b \end{gathered}[/tex]Subtract 16 from both sides to find b
[tex]\begin{gathered} -5-16=16-16+b \\ -21=b \end{gathered}[/tex]Then the equation of the line is
[tex]\begin{gathered} y=8x+(-21) \\ y=8x-21 \end{gathered}[/tex]Create a system of equations and use algebra to write a quadratic equation with points (-3,-4), (3,14), and (0,-4). Equations 1: -4=9a-3b+c Equation 2: 14=9a+3b+c Equation 3: -4=c
what is the resultiNg of b?
In the system of equations, the value of the variable 'b' will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of the equations is given below.
Equations 1: - 4 = 9a - 3b + c
Equation 2: 14 = 9a + 3b + c
Equation 3: - 4 = c
Put the value of c in equations 1 and 2, then we have
- 4 = 9a - 3b - 4
9a - 3b = 0 ...4
14 = 9a + 3b - 4
9a + 3b = 18 ...5
Subtract equation 4 from 5,
9a + 3b - 9a + 3b = 18 - 0
6b = 18
b = 3
In the system of equations, the value of the variable 'b' will be 3.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
The larger of two numbers is five times the difference of the small number and one. If sum of the two numbers is 50 what are the two numbers?
Answer:
Step-by-step explanation:
40.833 recurring and 9.166 recurring
or 40 5/6 and 9 1/6
Call the small number 's'
Call the big number 'b'
The word problem says:
B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B
So, 5S-5=B=50-S
Therefore 6S=55 and the rest history!
Answer:
Step-by-step explanation:
Sandra saves 12% of her salary for retirement. This year her salary was $1,000 more than in the previous
year, and she saved $4,920. What was her salary in the previous year?
Answer:
$32,000
Step-by-step explanation:
Can anyone do these
Answer: 1. Complementary
2. Supplementary
3. 116
4. 17
5. A- 28 B-152 C-118
4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you
Using a quadratic function, it is found that:
a) The coordinates of the second x-intercept are: (50,0).
b) The vertex shows the maximum flight of the projectile.
c) The coordinates of the vertex are (25, 62).
3) The graph of the equation y = -0.0992(x² - 50x) is given at the end of the answer.
Quadratic functionA quadratic function has two x-intercepts, x' and x'', and is defined as follows:
y = a(x - x')(x - x'').
The intercepts are given as follows:
First x-intercept: coordinates (0,0), as the fruit is thrown from the ground.Second x-intercept: coordinates (50,0), as the fruit travels a distance of 50 feet to hit the ground.The vertex is found as follows:
x-coordinate of 25, which is the mean of the two intercepts.y-coordinate of 62, which is the maximum height.Hence the coordinates are: (25, 62).
The equation can be defined as follows:
y = ax(x - 50)
y = a(x² - 50x).
When x = 25, y = 62, hence the leading coefficient is found as follows:
62 = a(25² - 50(25))
-625a = 62
a = -62/625
a = -0.0992.
Hence the equation is:
y = -0.0992(x² - 50x).
The domain of the function is between the roots, hence 0 ≤ x ≤ 50, and the graph is sketched at the end of the answer.
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ1