Answer:
45%
Step-by-step explanation:
There are five consecutive odd integers. The sum of the three smallest is 3 more than the sum of the two largest. Find the integers.
Answer:
The answer is "[tex]\bold{11, \ 13, \ 15, \ 17, \ 19}[/tex]".
Step-by-step explanation:
In word problem, it is solved by 2k+1, among the most common forms of even an, unlike number.
Let another odd integer become 2k+1.....(a)
(2K+1)+(2k+3)+(2k+5)=(2k+7)+(2k+9)+3(to take the left side 3 extra)
Quality for the k:
[tex]\to 6k+ 9 = 4k +19 \\\\\ \to 6k-4k= 19+9 \\\\ \to 2k = 10 \\\\ \to k = \frac{10}{2}\\\\ \to K = 5[/tex]
put the value of k, in the equation (a):
[tex]\to 2k+1 \\ \to 2(5)+ 1 \\ \to 10 + 1\\\to 11\\[/tex]
There are also 11, 13, 15, 17, and 19 episodes.
Let's test it! Let's test it. 11+13+15=39
17+ 19 = 36.
So we're right, the first 3 integer numbers are 3 more than the last 2.
Answer:
11,13,15,17,19
I checked the RSM thingy
:)
The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
11, 7, 9, 19, 12, 11, 9, 7, 9, 10, 11.
Evaluate 8j - k + 14 when j = 0.25 and k = 1
Answer:
Step-by-step explanation:
8*0.25-1+14
=2-1+14
=1+14
15
Enter the terms and the coefficients of the expression.
-60+ 7p - 3z
The terms are
, and
The coefficients are
and
Answer/Step-by-step explanation:
A term is part of an expression, which could be a number, a number multiplied with a variable, a variable, or 2 variables multiplied together.
The terms in the given expression, [tex] - 60 + 7p - 3z [/tex], are [tex] -60, 7p, -3z [/tex].
Coefficient is the number that is multiplied by a variable.
The coefficients in [tex] - 60 + 7p - 3z [/tex], are: [tex] 7, -3 [/tex].
please help out i’m stuck please and thank you
======================================================
Explanation:
The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4
Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.
Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.
We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b
y = mx+b
6 = (4/3)(3) + b
6 = 4+b
6-4 = b
2 = b
b = 2
The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.
--------------
Extra info:
If you want to convert to standard form Ax+By = C, then you could do the following steps
y = (4/3)x + 2
3y = 4x + 6 ... multiply everything by 3 to clear out the fraction
3y - 4x = 6
-4x + 3y = 6
4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0
ASAP!!! Please solve this problem!!!!
Answer:
[tex]\frac{4}{3}[/tex] x² - [tex]\frac{19}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
(2x - [tex]\frac{5}{3}[/tex] )([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
2x([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) - [tex]\frac{5}{3}[/tex] ([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) ← distribute both parenthesis
= [tex]\frac{4}{3}[/tex] x² - 3x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{27}{9}[/tex] x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{37}{9}[/tex] x + [tex]\frac{5}{2}[/tex]
how do I figure out the circumference of a circle
Answer:
[tex]\huge \boxed{\mathrm{C=\pi d}}[/tex]
Step-by-step explanation:
To find the circumference of a circle, you can multiply the value of the diameter of the circle with the value of pi.
[tex]\sf Circumference = \pi \times diameter[/tex]
[tex]\mathrm{C=\pi d}[/tex]
C=2•π•r
hope it helps;)
Adjust the equation so the line passes through the points. Y=x+1
Answer:
Slope=
2.000
2.000
=1.000
x−intercept=
−1
1
=−1.00000
y−intercept=
1
1
=1.00000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(x+1)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-x-1 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-1 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000
y-intercept = 1/1 = 1.00000
Calculate the X-Intercept :
When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000
x-intercept = 1/-1 = -1.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.000/2.000 = 1.000
Geometric figure: Straight Line
1. Slope = 2.000/2.000 = 1.000
2. x-intercept = 1/-1 = -1.00000
3. y-intercept = 1/1 = 1.00000
The equation of the line that passes through the given points will be y=1.5x-4.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the line passes through (0,4) and (2,7)
The slope of the line is,
m = (7-4)/(2-0)
m=3/2
m=1.5
The equation of the line passes through the points (0,4) and (2,7) and has a slope of 1.5 will be,
y-4=1.5(x-0)
y-4=1.5x
y=1.5x-4
Thus, the equation of the line that passes through the given points will be y=1.5x-4.
Learn more about the straight line here:
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On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0).
What is the range of the function on the graph?
Answer:
B
Step-by-step explanation:
The range of the function is {0, 3}.
The range of a function on a graph is the set of all possible output values (y-values) that the function can take. To find the range of the given function, we need to determine the y-values corresponding to the points where the function is defined.
Let's analyze the points provided:
The line crosses the x-axis at (-4, 0). This means the function's y-value is 0 when x = -4.
The line turns at (-1, 3). This point is on the line, so the function's y-value is 3 when x = -1.
The line crosses the y-axis at (0, 2). This means the function's y-value is 2 when x = 0.
The line crosses the x-axis again at (2, 0). This means the function's y-value is 0 when x = 2.
Now, let's consider the intervals between these points:
a) When x < -4 (to the left of -4): The function's y-value is 0, as the line is horizontal at y = 0.
b) When -4 ≤ x < -1: The function's y-value starts at 0 and increases to 3, as the line rises from (−4, 0) to (−1, 3).
c) When -1 ≤ x ≤ 2: The function's y-value remains constant at 3, as the line is horizontal at y = 3 between (−1, 3) and (2, 3).
d) When x > 2 (to the right of 2): The function's y-value decreases from 3 to 0, as the line descends from (2, 3) to (2, 0) and further to the right.
So, the range of the function is {0, 3}.
In mathematical notation, the range is written as:
Range = {y | y = 0 or y = 3}
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I need help!! Somebody help me I need this fast!
Answer;
m<EAD=29°
m<CAB=119°
Step-by-step explanation:
Angles on a straight line sum up to 180°
This implies that,
61°+90°+EAD=180°
151°+EAD=180°
Subtracting 151° from both sides,we obtain,
EAD=180°-151°
EAD=29°
Angles on a straight line add up to 180°.
this implies that,
CAB+61°=180°
Subtracting 61° from both sides,we obtain
CAB=180°-61°
CAB=119°
Thus,m<EAD=29° and m<CAB=119°
Answer:
29° and 119°
Step-by-step explanation:
Since CF is a straight line, then
90° + ∠ EAD + 61° = 180°, that is
∠ EAD + 151° = 180° ( subtract 151° from both sides )
∠ EAD = 29°
and
∠ CAB + 61° = 180° ( subtract 61° from both sides )
∠ CAB = 119°
Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Ansdwer:
D
Step-by-step explanation:
Answer:
Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Step-by-step explanation:
Edge
Which graph matches the following description?
The function is decreasing over the interval (−∞,3) and increasing over the interval (3,∞). The function has a minimum of −2. The function has a y-intercept of (0,7).
Answer:
The third image is the correct answer.
Step-by-step explanation:
Answer:
3rd graph
Step-by-step explanation:
The answer is the 3rd graph.
The third graph has all the given characteristics.
It decreases from negative infinity to 3.
It increases from 3 to infinity.
It has a minimum value of -2.
It has a y-intercept of (0, 7).
First time I have been on here for a while. Here goes. -4(-d - 4) = -4d + 6(2d + 6) I kinda need help AsAp
Answer:
d= -13
Step-by-step explanation:
-4 ( -d - 4 ) = - 4d + 6 (2d + 6 )
4d - 16 = -4d + 12d + 36
4d - 16 = 8d + 36
- 4d - 4d
- 16 = 4d + 36
-36 -36
-52 = 4d
-52/4 4d/4
-13 = d
Simplify ( If possible please show work)
Answer:
x^2y / 4
Step-by-step explanation:
x^4 y^4 / 4x^2 y^3
x^4 / x^2 = x^2 and y^4 / y^3 = y so:
this = x^2y / 4
Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below. Dripping Water A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6). Which describes the pattern of the data in the graph? The water level increases by 1 inch each hour. The water level increases by 2 inches each hour. The water level increases by a factor of one-half each hour. The water level increases by a factor of 2 each hour.
Answer:
y = 2x
Step-by-step explanation:
Step-by-step explanation:
Let
y ----> the height in inches
x ----> the time in hours
we have the ordered pairs
(1, 2), (2, 4), and (3, 6).
step 1
Find the slope
take two points to calculate the slope
(2, 4), and (3, 6)
The formula to calculate the slope between two points is equal to
m = 2 in/h
step 2
Find the equation of the line in point-slope form
we have
m =2
point (2,4)
Convert to slope-intercept form
isolate the variable y
y = 2x
a certain quantity grows exponeotially over time.the inital quantity at t=0 is 2000.the quantity grows by a factor of 20%. what is the quantity at t=8
Answer:
5200
Step-by-step explanation:
2000 x 20% = 400
400 x 8 = 3200
2000 + 3200 =5200
I am pretty sure I know the answer but I need to be certain. Please answer and give explanation if possible.
Answer:
Vertical opposite angles are the same so the answer is D.
how do do the work for 12c+6c=36
Answer:
c = 2
Step-by-step explanation:
To solve this equation, you need to combine like terms and then divide by the coefficient of the variable on both sides of the equation.
To start, add 12c and 6c because they are like terms.
12c + 6c = 18c
Then, divide by 18 on both sides of the equation to solve for c.
18c = 36
---- ----
18 18
c = 2
What is -3 1/2+ 2 1/3
Answer:
-1.16666666667
Step-by-step explanation:
Answer:
-1 1/6
Step-by-step explanation:
Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x,
determine the numerical length of KL.
Answer:
8
Step-by-step explanation:
[tex]2x + 4x = x + 10 \\ 6x - x = 10 \\ 5x = 10 \\ x = 10 \div 5 \\ x = 2 \\ kl = 4x \\ 4 \times 2 = 8 \\ kl = 8[/tex]
If the value of x will be 2. Then the length of KL will be 8 units.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x.
Then the value of x will be
JL = JK + KL
x + 10 = 2x + 4x
5x = 10
x = 2
Then the length of KL will be
KL = 4x
KL = 4 (2)
KL = 8 units
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Can you please explain and help me find the midpoint?
Answer:
once have a short glance to the above solution.
The midpoint of AB is ( -0.5 , 0)
PLEASE HELP MEEE
Can someone calculate the area of this shape
Step-by-step explanation:
The 1st rectangle
16 *7=112
next triangle
find details
13-7=6
16-8=8
6*8
48÷2
24+112
136
plz help :( what is n – 10 + 2n + 5
Answer:
n-10+2n-5
to me it look like it equal 3n-5
Step-by-step explanation
step one:
add n+2n which equal to 3n
step 2:
-10+5
you add 5 do -10 which equal to -5
and when u put them together the answer will be
3n-5
Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:
Answer: 1. hypothesis: line is horizontal
Conclusion: has a slope of 0
2. If a line is vertical, then it has an undefined slope.
Hypothesis : line is vertical
Conclusion: has undefined slope.
Step-by-step explanation:
Solve the equation. −3=h+8÷2 h=?
Answer:
h = -7
Step-by-step explanation:
8 ÷ 2 = 4Plug 4 in: -3 = h + 4Subtract 4 from each side, so it now looks like this: -7 = hI hope this helps!
To which subset of real number does -2/5 belong in
Answer:
Rational Numbers.
Step-by-step explanation:
Rational numbers ( these can be written as a/v where a and b are integers, b not 0)
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Hi There!!
I think your best answer is B). Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
I'm not sure this is 100% right....
Hope This Helps!!
[tex]Brazts[/tex]
The correct statement will be : Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.
Given,
Unit rate for a proportional relationship.
Here,
When the unit rate for proportional relationship is to be identified than count the number of units at y axis or vertical axis and the number of unit at x axis or horizontal axis .
Take ratios of these two values .
Know more about graphs,
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If n-8=-3, what is 3n?
Answer:
34
Step-by-step explanation:
A. Area of the circle
B. Area of the rectangle
C. Calculate the area of the shaded region.
A. To find the area of a circle you need to use the formula A= π r²
The radius (R) is half of the diameter . . . that's 6.5 cm .
r² = ( 6.5)² = 42.25 cm²
Area = π r² = 42.25 π = 132.7 cm²
B. Area of a rectangle is just (length) x (width).
Length = 12 cm
Width = 5 cm
Area = (12 cm) x (5 cm) = 60 cm²
C. The shaded portion is the part of the circle that's NOT in the rectangle. So its area is (area of the circle) - (area of the rectangle)
Area = (132.7 cm²) - (60 cm²) = 72.7 cm²
You and Anthony are having a swimming race. You can swim 4 meters per minute, and Anthony can swim 4.5 meters per minute. You start at the same time. After how many minutes will Anthony be ahead of you 2 meters?
Answer:
4 minutes
Step-by-step explanation:
Given that:
Person 1's speed = 4 meters per minute
Anthony's speed = 4.5 meters per minute
To find:
In how many minutes, Anthony will be 2 meters ahead ?
Solution:
Let the time taken = [tex]t[/tex] minutes
Distance covered by 1st person = D meters
Distance covered by Anthony = (D + 2) meters
Formula:
Distance = Speed [tex]\times[/tex] Time
For 1st person:
[tex]D = 4 \times t[/tex] ....... (1)
For Anthony:
[tex]D+2 = 4.5 \times t[/tex]
Using first equation:
[tex]4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}[/tex]
So, in 4 minutes, Anthony will be 2 meters ahead of the first person.