The consecutive integers are 5 and 6.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
The sum of the reciprocals of two consecutive integers is 11/30.
Let the integers be n and n+1.
Then,
1/n + 1/n+1 = 11/30
{n + 1 + n}/n(n+ 1) = 11/30
30(2n+1 ) = 11(n²+n)
60n + 30 = 11n² + 11n
11n² - 49n - 30 = 0
(11n +6) (n-5) = 0
Only taking,
n = 5.
So, 5 and 6.
Therefore, 5 and 6 are the integers.
To learn more about the integers;
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(20 points)In 2008, there were 6.7 × 10^9 people living on earth. What is that number in standard notation?
A. 6,700,000
B. 67,000,000
C. 6,700,000,000
D. 67,000,000,000
What is the length of x-component of v?
What is 3y+5x=-15 written in slope-intercept form
hey broskey your answer is option B :)
Three bags of of potatoes and four cases of corn cost $40. Five bags of potatoes and two cases Of corn cost $34. Find the cost of one bag of potatoes and the cost of one case of corn. Show your work
May I pretty please have some math help?
Which of the following sets represents the range of the function shown?
{(−3, 4), (5, 11), (9, −1), (10, 13)} (5 points)
{−3, 5, 9, 10}
{−1, 4, 11, 13}
{(4, −3), (11, 5), (−1, 9), (13, 10)}
{−3, −1, 4, 5, 9, 10, 11, 13}
Answer:
it's B guys
Step-by-step explanation:
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? y − 5 = −3(x + 2) y − 5 = 3(x + 2) y − 11 = −3(x − 2) y − 11 = −3(x + 2)
Hello : let A(0,5) B(-2,11)
the slope is : (YB - YA)/(XB -XA)
(11-5)/(-2-0) = 6/(-2)
the slope is : -3
Answer: [tex]y-11=-3(x+2)[/tex]
Step-by-step explanation:
Given points : (0, 5) and (−2, 11)
Slope of the line passing through given points .
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-5}{-2-0}=\frac{6}{-2}=-3[/tex]
Thus, slope of line passing through given points m=-3
We know that the equation of a line passing through points [tex](x_0,y_0)[/tex] with slope 'm' is [tex](y-y_0)=m(x-x_0)[/tex]
Thus, equation of a line passing through (−2, 11) with slope m=-3 will be
[tex](y-11)=(-3)(x-(-2))\\\Rightarrow\ y-11=-3(x+2)[/tex]
Hence, the equation of line is [tex]y-11=-3(x+2)[/tex]
To the nearest degree what is the measure of each exterior angle of a regular octagon
Answer:
The measure of exterior angle of regular octagon is 45°
Step-by-step explanation:
Given the regular octagon we have to find the measure of exterior angle of regular octagon.
The formula to find the measure of exterior angle of regular octagon is
[tex]\frac{360}{n}[/tex]
where n is number of sides.
Number of sides in octagon=8 sides
Hence, the measure of exterior angle is
[tex]\frac{360}{8}=45^\circ}[/tex]
A yogurt with 1 topping is sold for $3.65. Additional toppings can be added for $0.45 cents each. If y represents the total cost and x represents the total number of toppings added, which function rule describes this pattern? A. y=0.45x+3.65 B. y=3.65+0.45(x-1) C.y=3.65+0.45(x+1) D.3.65(x-1)+0.45
since the 3.65 price includes 1 topping when you calculate the cost of the additional toppings it would be x-1
so the equation would be y=3.65 +0.45(x-1)
The square root of 32, expressed in terms of a simple radical is
What would be the point of discontinuity in the following function f(x)=x^2+5x+6/x+3
The width of a rectangular poster is its length.the area of the poster is 128 square feet what is the width of the poster
since the length and width are the same, it is actually a square
area of a square is S^2
sqrt(128) = 11.3137
round off as needed
In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.
Answer:
69
Step-by-step explanation:
I got it correct on founders edtell
If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second prism?
What is the area of the sector bound by the center of the circle and arc CD in the circle below? Radius is 6 ft and central angle is 30 degrees.
The answer is 9.42 for the ones wondernig what it was! I calculated it and took the exam and it was correct.
The sum of two numbers is 47 and the difference is 25 . what are the numbers?
Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t:
t (hours) 1 2 3 4 5
f(t) (mg) 150 90 54 32.4 19.4
Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below:
f(t) = 200(0.976)t
Which statement best describes the rate at which Maureen's and Ken's bodies eliminated the antibiotic?
Maureen's body eliminated the antibiotic faster than Ken's body.
Maureen's body eliminated the antibiotic at the same rate as Ken's body.
Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic.
Maureen's body eliminated the antibiotic at one-fourth of the rate at which Ken's body eliminated the antibiotic.
Answer:
(A)Maureen's body eliminated the antibiotic faster than Kens body
Step-by-step explanation:
We already have the table for Maureen, so lets figure out the table for Ken. We've been given the formula 200(0.976)^t.
we already know our starting point is 0, 200
first we substitute 1 into t, which would look like this 200(0.976)^1
So we would solve the power of 0.976 to the power of 1, which is just 0.976. so now we do 200 x 0.976 which results in 195.2. on the chart, the point would be (1, 195.2). now lets solve for the rest doing the same steps.
(2, 1905.5)
(3, 181.4)
(4, 135.5)
(5, 01.9)
William can run 5 laps in 9 2/3 minutes. If one lap is 2/5 of mile how fast is William running in miles per minute?
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
50 in2
59 in2
85 in2
90 in2
*WILL GIVE BRAINLIEST* (08.03)Consider the following set of equations:
Equation C: y = 2x + 8
Equation D: y = 2x + 2
Which of the following best describes the solution to the given set of equations?
No solution
One solution
Two solutions
Infinite solutions
Answer:
No solution
Step-by-step explanation:
This is because either way you do it it still doesnt make any sense and doesent line up correctly. THis is high school workand im doing it in 8th grade
Answer:
no solution
Step-by-step explanation:
because it just is
The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x. y = x3 + 72 y = 5x2 + 18x Graph this system of equations on the graphing calculator. How many intersection points can you see in the default viewing window?
Answer:
he following system of equations can be used to find the roots of the equation
x3 + 72 = 5x2 + 18x.
y = x3 + 72
y = 5x2 + 18x
Graph this system of equations on the graphing calculator.
How many intersection points can you see in the default viewing window?
✔ 1
Adjust the window so you can find all of the points of intersection for the system of equations.
What are the roots of the original polynomial equation? Check all that apply.
–6
0
✔ 6
✔ –4
✔ 3
8
Step-by-step explanation:
no
In the above figure, AE = 2, CE = 3, and DE = 4. What is the length of BE?
Answer:
its 6 i think
Explanation:
if you have the choices 6, 8, 12, 5.. then 6 is ur answer. why?
well u do CE x DE = AE x BE
(3)(4)= (2)(BE)
12=2x
12÷2= 6
Write a recursive formula for 16, 9, 7, 2, 5
which of the following represents the zeros of the function f(x) = 4x3 -13x2 -37x +10
The legs of a right triangle have lengths of 3 and 4. What is the length, to the nearest tenth, of the altitude to the hypotenuse?
An athlete eats 45g of protein per day while training. How much protein will she eat during 25 days of training?
(14 + 13) + 2 = 29 Choose an equivalent addition sentence that shows the associative property of addition. 29 = (14 + 13) + 2 (14 + 13) + 2 = 29 14 + (13 + 2) = 29 14 + 13 + 2 = 29
Final answer:
An equivalent addition sentence showing the associative property of addition in the given example is 14 + (13 + 2) = 29, where the grouping changes but the sum remains the same, rooted in the commutative property of addition.
Explanation:
The question is about the associative property of addition which essentially states that when you add three or more numbers, the way in which you group them doesn't affect the sum. To illustrate with the given example $(14 + 13) + 2 = 29$, an equivalent sentence that demonstrates the associative property would be 14 + (13 + 2) = 29. Here, the grouping has changed, but the resulting sum remains the same. The reason this works is due to the commutative property of addition which tells us that changing the order of the numbers we're adding doesn't change the sum, expressed as A + B = B + A. This universality is showcased by the idea that regardless of 'real-world context' or 'complexity of calculation', the same rules apply.
What value of x makes the denominator of the function equal zero? y= 4/3x-33
Answer: 11 is your answer
Step-by-step explanation:
help please
Given the vertices of ∆ABC are A (2,5), B (4,6) and C (3,1), find the vertices following each of the transformations FROM THE ORIGINAL vertices:
a. Rx-axis
b. Ry = 3
c. T<-2,5>
d. T<3,-6>
e. r(90◦, o)
Answer with explanation:
Vertices of ∆ABC are A (2,5), B (4,6) and C (3,1).
Plotting the points on coordinate plane
a.→ [tex]R_{x}[/tex]
We have to find vertices of image , that is ΔA'B'C' when ∆ABC is reflected across x axis.
The Distance from each of the vertices of ∆ABC from X axis will be same as Perpendicular distance from each of vertices of ∆A'B'C' from X axis.
Result is shown in the image 1.
b.→[tex]R_{y}=3[/tex]
We have to find the image of vertices of triangle through line, y=3.
The Distance from each of the vertices of ∆ABC from line,y=3 will be same as Perpendicular distance from each of vertices of ∆A'B'C' from line, y=3.
Result is shown in the image 2.
c. →T(-2,5)
Translation of vertices of triangle ABC by 2 units left and 5 units up.
[tex]A(2,5)_{-2,5} \rightarrow (2-2,5+5)\rightarrow (0,10)\\\\B(4,6)_{-2,5} \rightarrow (4-2,6+5)\rightarrow (2,11),\\\\C(3,1)_{-2,5} \rightarrow (3-2,1+5)\rightarrow (1,6)[/tex]
d.→T(3,-6)
Translation of vertices of triangle ABC by 3 units right and 6 units left.
[tex]A(2,5)_{3,-6} \rightarrow (2+3,5-6)\rightarrow (5,-1)\\\\B(4,6)_{3,-6} \rightarrow (4+3,6-6)\rightarrow (7,0),\\\\C(3,1)_{3,-6} \rightarrow (3+3,1-6)\rightarrow (6,-5)[/tex]
e.→Rotation by 90° with respect to Origin
When rotated in clockwise direction ,vertices of ΔABC changes by the rule ,that is (x,y)→(y,-x) and in anticlockwise direction ,(x,y)→(-y,x).
In clockwise direction
A(2,5)→A"(5,-2)
B(4,6)→B"(6,-4)
C(3,1)→C"(1,-3)
In Anti clockwise direction
A(2,5)→A'(-5,2)
B(4,6)→B'(-6,4)
C(3,1)→C'(-1,3)
Image is depicted below.
how to make d the subject of V=ldh