Answer:
D.
Step-by-step explanation:
First figure: 2 dots by 1 dot
Second figure: 3 dots by 2 dots
Third figure: 4 dots by 3 dots
The numbers of dots are going up by one both horizontally and vertically, so I expect the next one to be
Fourth figure: 5 dots by 4 dots which is option D.
The next term of the given series 2,6,12, ( after converting the dots into numbers ) is 20.
What is series?A series is an arrangement of real numbers which follows some pattern. We can also say a series is a function from set of natural number to a particular set of numbers.
We can write the series mathematically as
2, 6,12,
which is equivalent to 2, 2²+2, 3²+3 etc
In this process the next term will be 4²+4, which is equal to 16+4=20
Therefore the next term will be 20.
Hence the next step of the given series will be 20.
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The graph below represent a trip taken by bicycle. Use the graph to answer questions
11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop? ________
12. During which labeled section was he traveling the slowest? _______
13. During which labeled section was he traveling the fastest? ______
14 Calculate the speed of the cyclist during section D _______
15. How far away was the cyclist when he turned around and headed home? _______
I'm pretty sure that the answer to this question is B
How do you find the measure of angle YXZ?
Answer:
90 Degrees
Step-by-step explanation:
The find the measure of that angle, find the measure of it's intercepted arc, which is already given as 180. When you find the measure of the intercepted arc, to find the measure of the angle/ divide the measure of the intercepted arc by 2, since the angle is on the circle and boom you get 90 degrees
PLS HELP I GIVE BRAINLIEST
Answer:
MNStep-by-step explanation:
If ΔLMN ≅ ΔXYZ, then corresponding angles and corresponding segments are congruent:
∠L ≅ ∠X
∠M ≅ ∠Y
∠N ≅ ∠Z
and
LM ≅ XY
MN ≅ YZ
LN ≅ XZ
Answer:
Line MN.
Step-by-step explanation:
As you can see, YZ is in fact the hypotenuse of the other triangle.
Using this information, YZ should be congruent to the other hypotenuse, which in this case is MN.
Therefore, YZ=MN.
What is the slope of the line that passes through the points (-2, 4) and (1, 10)?
Answer:
2
Step-by-step explanation:
The slope of a line is found by using
m = (y2-y1)/(x2-x1)
(10-4)/(1--2)
6/(1+2)
6/3
2
what is the slope of a line that is perpendicular to the line that contains points (5,4) and (-7,9). explain please
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
First find the slope of the line containing points (5,4) and (-7,9). To find the slope use the formula [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. Putting those values in, you have
[tex]\frac{9-4}{-7-5}[/tex]
Simplify
[tex]\frac{5}{-12}[/tex]
[tex]-\frac{5}{12}[/tex]
Then, to find the slope of the line perpendicular to that, find the negative reciprocal.
[tex]\frac{12}{5}[/tex]
What is the exact value for the expression the square root of 56. − the square root of 14. + the square root of 126.? Simplify if possible. the square root of 14. 4 the square root of 14. 2 the square root of 42. 8 the square root of 42.
[tex]\bf \sqrt{56}-\sqrt{14}+\sqrt{126}~~ \begin{cases} 56=&2\cdot 2\cdot 2\cdot 7\\ &2^2\cdot 14\\ 126=&2\cdot 3\cdot 3\cdot 7\\ &2\cdot 3^2\cdot 7\\ &3^2\cdot 14 \end{cases}\implies \sqrt{2^2\cdot 14}-\sqrt{14}+\sqrt{3^2\cdot 14} \\\\\\ \stackrel{\textit{let's add the like-terms}}{2\sqrt{14}-\sqrt{14}+3\sqrt{14}}\implies 4\sqrt{14}[/tex]
Answer:
Step-by-step explanation:
sqrt(56) = sqrt(4*14) = 2*sqrt(14)
sqrt(126)= sqrt(9*14) = 3*sqrt(14)
2*sqrt(14) - sqrt(14) + 3*sqrt(14)
5sqrt(14) - sqrt(14)
4*sqrt(14)
====================
The second one is not clear enough.
4x-2y=4 6x-4y=6
Solve the systems of equations algebraically
Isolate “y” in one of the equations, then substitute it in the other equation. After you find x, put it in the isolated equation and you’ll find y value.
The value of x = 1 and y = 0.
How to solve the systems of equations algebraically?Consider the given system of equation
4x - 2y = 4 ........(1)
6x - 4y = 6 ........(2)
Solve the system algebraically,
By using the elimination method,
Multiply equation (1) by 2, and we get,
(1) ⇒ 8x - 4y = 8 ............(3)
Subtract equation (2) from (3), we get,
8x - 4y - (6x - 4y) = 8 - 6
Simplifying the above equation, we get
8x - 4y - 6x + 4y = 2
8x - 6x = 2
⇒ x = 1
Substitute x = 1 in (1) and solve for y, we get,
⇒ 4x - 2y = 4
⇒ 4 (1) - 2y = 4
⇒ 2y = 4 - 4
⇒ 2y = 0
⇒ y = 0
Therefore, the value of x = 1 and y = 0.
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What is 23.014 written in expanded form?
A (2 x 100) + (3 x 10) + (0 x 10)+(1 x 100) + (4 x 7,000)
B (2 x 10) + (3 * 1) + (0 x 1b) + (1 100) +(4x 1,000)
C (2 x 10) + (3 * 1) + (0 x 1,000) + (1x 100 +(4 x to
D (2 x 10) + (3 x 1) + (0 x 1\1) + (1 x 1) + (4 x 100)
Please help
b(2 ×10)+(3*1)+(0×1b)+(1×100)+(4×1000)
Final answer:
The number 23.014 in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001), illustrating the value of each digit according to its place value.
Explanation:
Writing the number 23.014 in expanded form means expressing each digit according to its place value. Expanded form represents a number by showing the value of each digit. For the decimal number 23.014, we look at the place value of each digit: the digit in the tens place, the ones place, the tenths place (one place after the decimal), the hundredths place (two places after the decimal), and so on.
The correct expanded form for 23.014 is:
<(2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001)
This means:
The '2' is in the tens place, so it represents 2 x 10, or 20.
The '3' is in the ones place, so it represents 3 x 1, or 3.
The '0' is in the tenths place, but since it's 0, it adds no value (0 x 0.1 = 0).
The '1' is in the hundredths place, so it represents 1 x 0.01, or 0.01.
Finally, the '4' is in the thousandths place, so it represents 4 x 0.001, or 0.004.
Therefore, 23.014 written in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001).
how do you factor a polynomial by its greatest common monomial factor of 25y^2-35y
Answer: 5y(5y-7)
Step-by-step explanation: 25y^2 - 35 y
factor out 5y
5y(5y-7)
Answer:
[tex]\large\boxed{25y^2-35y=5y(5y-7)}[/tex]
Step-by-step explanation:
[tex]25y^2=(5y)(5y)\\\\35y=(5y)(7)\\\\25y^2-35y=(5y)(5y)-(5y)(7)=(5y)(5y-7)[/tex]
What is the greatest common factor of 48 and 81
Answer:
3
Step-by-step explanation:
Find the prime factorization of 81, which is 3 x 3 x 3 x 3. Next, do the same with 48, which is 2 x 2 x 2 x 2 x 3. Lastly, to find the gcf, multiply the prime factors that are common to both numbers. The GCF is 3
The required greatest common factor of 48 and 81 is 3.
To find the greatest common factor (GCF) of 48 and 81, we need to determine the largest number that evenly divides both 48 and 81.
We can start by listing the factors of each number:
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 81: 1, 3, 9, 27, 81
From the lists, we can see that the common factors of 48 and 81 are 1 and 3. However, we are looking for the greatest common factor, which in this case is 3.
Therefore, the greatest common factor of 48 and 81 is 3.
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I need to know the output
of “n”
in a function table :)
Answer:
I believe the answer is (n-5)
Step-by-step explanation: If you look at the other inputs, you can see that you subtract 5 to get the output. For input 6, you would subtract 5 (6-5=1) and you would receive the output, 1. This is shown to be true for the other two inputs. I hope this helps you.
anyhow, notice the pattern, the output is always the input minus 5, thus n - 5.
What is the exponential regression equation for the data set x 3,4,7,11,12,16,19 y .3,.5,.9,1.2,1.7,1.7,1.9
Answer:
The exponential regression equation for the data set is;
[tex]y=0.3258e^{0.1074x}[/tex]
Step-by-step explanation:
Exponential regression can easily be carried out in Ms. Excel. The first step is to enter the data in any two adjacent columns with the headers x and y in order to differentiate the response from the predictor variable.
The next step is to highlight the data, click the insert ribbon and choose the scatter-plot feature. This step will create an x, y scatter-plot for the data. The next step we click on the Add-Chart Element feature and add an exponential trend line to the scatter-plot while ensuring the Display Equation on chart is checked.
Ms. Excel provides the following exponential regression equation that models the data;
[tex]y=0.3258e^{0.1074x}[/tex]
what is the solution to every system of equation
By graphing is the solution to every equation
Select all the statements that are correct rational approximation of irrational numbers?
The answers would most likely be A,C,and B from my calculations
Which statement best describes how to determine wether f(x)=x^3 +5x+1 is an even function
Answer: second option.
Step-by-step explanation:
By definition, a function is even when:
[tex]f(x) = f(-x)[/tex]
Then, knowing this, given the function [tex]f(x)=x^3 +5x+1[/tex] you can substitute [tex]-x[/tex] into this function:
[tex]f(-x)=(-x)^3 +5(-x)+1[/tex]
Now you need to simplify the function. Then you get:
[tex]f(-x)=-x^3 -5x+1[/tex]
In this case, you can see that:
[tex]f(x)\neq f(-x)[/tex]
Therefore, the function [tex]f(x)=x^3 +5x+1[/tex] is not even.
As you observed in the procedure above, the statement that best describes how to determine whether the given function is even is:
Determine is [tex](-x)^3 +5(-x)+1[/tex] is equivalent to [tex]x^3 +5x+1[/tex]
Trigonometry how to do this
I’m not sure either, but lets keep in touch because I do Acellus too, and Trigonometry. Give me a thanks so we can message
Trigonometry involves the study of angles and sides of triangles, where sine, cosine, and tangent are fundamental ratios used to solve problems. The Law of Sines and the Law of Cosines help calculate unknown lengths and angles in various types of triangles.
Explanation:Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right-angled triangles. Key concepts such as trigonometric ratios including sine, cosine, and tangent are fundamental in solving problems in trigonometry. When provided with a diagram like Figure 4.17 or Figure 5.27, one can determine the magnitudes of various components by applying these trigonometric principles.
For instance, if we know the angle and a side length adjacent to it, we can find the lengths of the unknown sides using functions such as cosine for the adjacent side or sine for the opposite side relative to the given angle. The Law of Sines and the Law of Cosines are also substantial tools in trigonometry, allowing us to calculate unknown lengths and angles in non-right triangles. Practicing these calculations with a calculator, as mentioned, helps familiarize oneself with the trigonometric functions and their inverses.
Worth 30 points!
please help
Answer:
y,n,y,y
Step-by-step explanation:
1*15=15
2*15=30
3*15=45
Answer:
(1,15) = yes
(1,30) = no
(2,30) = yes
(3,45) = yes
Step-by-step explanation:
The points on the graph:
(0,0)
(1,15)
(2,30)
(3,45)
(4,60)
(5,75)
(6,90)
(7,105)
(8,120)
(9,135)
(10,150)
(Hope you understand!)
The volume of the cylinder with a hight of 1.5 cm and the diameter of 2 cm.
Answer:
4.71 ish centimeters
Step-by-step explanation:
The equation for a cylinder is [tex]\pi r^{2} h[/tex] , where h is the height and r is the radius. So plugging in the numbers you have Pi * (1)^2 *1.5.
4.71 centimeters is the answer
what is the solution to this equation -13x =25
Answer:
-1 12⁄13
Step-by-step explanation:
-13x = 25 [Divide by -13]
x = -1 12⁄13
13 is your divisor, which will be your denominator, and the numerator is your remainder. Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:
-25⁄13 = -1 12⁄13
I am joyous to assist you anytime.
What is the surface area in square inches
Answer:
62
Step-by-step explanation:
2* 2*3 + 5*10 = 12 + 50 =62
Answer:
The answer is 62.hope this helps.☻♥
80x80divided by 8 ......
Answer:
800
Step-by-step explanation:
80*80=6400
6400/8=800
The answer is 800
800 hope this helps
Hope U get a A+
The value of c is equal to _____.
A.√82
B.√41
C.√410
D.√841
a^2 + b^2 = c^2(hypotenuse)
a=20^2=400
b=21^2=441
c^2=400+441
c^2=841
take the square root of 841
answer is D
the answer is (D) 841 ( The value of C is equal to 841)
the distance formula is required to find the length of a horizontal segment. true or false?
Answer:
To use the distance formula to find the length of a line
So you're answer would be false
Hope this Helps (:
You can use the Distance Formula to find the length of such a line. This formula is basically the Pythagorean Theorem, which you can see if you imagine the given line segment as the hypotenuse of a right triangle. By using a basic geometric formula, measuring lines on a coordinate path becomes a relatively easy task.
Answer:
True...
Let me know if that was right, but I'm almost a hundred percent sure it is...
Can someone please answer this for me
Answer:
A = 30m + 35
Step-by-step explanation:
let A be the amount saved and m represent month
Note the difference in the amount saved is constant, that is
185 - 155 = 155 - 125 = 125 - 95 = 95 - 65 = 30
We can express this as
A = 30m + c
To find c use any pair from the table and substitute into the equation
using (3, 125) then
125 = (3 × 30) + c
125 = 90 + c ( subtract 90 from both sides )
c = 125 - 90 = 35, thus
A = 30m + 35 ← linear relationship
As a check
When m = 4, A should be 155
A = (4 × 30) + 35 = 120 + 35 = 155 ← correct
Linear function representing the table is
A(m) = 30m + 35
what is the domain and range of the square root of x+3-1?
Answer:
[tex]\large\boxed{\text{The domain:}\ x\geq-3\to x\in[-3,\ \infty)}\\\boxed{\text{The range:}\ y\geq-1\to y\in[-1,\ \infty)}[/tex]
Step-by-step explanation:
[tex]y=\sqrt{x+3}-1\\\\The\ domain:\\\\x+3\geq0\qquad\text{subtract 3 from both sides}\\\\x\geq-3\to x\in[-3,\ \infty)\\\\The\ range:\\\\\sqrt{x+3}\geq0\qquad\text{subtract 1 from both sides}\\\\\sqrt{x+3}-1\geq-1\\\\y\geq-1\to y\in[-1,\ \infty)[/tex]
if a sequence is defined recursively by (0)=3 and (n+1)=-f(n)+5 for n≥0, Then f(2) is equal to
Answer:
f(2) = 3
Step-by-step explanation:
We are given:
f(0) = 3
and
f(n+1) = -f(n) + 5
We have to find the value of f(2). In order to find f(2) we first have to find f(1)
f(n + 1) = - f(n) + 5
Using n = 0, we get:
f(0 + 1) = - f(0) + 5
f(1) = -f(0) + 5 Using the value of f(0), we get
f(1) = -3 + 5 = 2
Now using n = 1 in the function, we get:
f(1 + 1) = - f(1) + 5 Using the value of f(1), we get
f(2) = -2+ 5
f(2) = 3
Thus the value of f(2) will be 3
Find the derivative of f(x) = negative 9 divided by x at x = -8.
Answer:
[tex]f'(-8)=\frac{9}{64}[/tex]
Step-by-step explanation:
Given the function
[tex]f(x)=\frac{-9}{x}[/tex]
We can rewrite it as
[tex]f(x)=-9x^{-1}[/tex]
Now we can apply the power rule
[tex]f'(x)=9x^{-2}[/tex]
Now we can rewrite it
[tex]f'(x)=\frac{9}{x^{2} }[/tex]
Now we can plug in x=-8
[tex]f'(-8)=\frac{9}{(-8)^{2} }\\f'(-8)=\frac{9}{64}[/tex]
The derivative of f(x) = -9/x at x = -8 is 9/64.
Explanation:To find the derivative of f(x) = -9/x at x = -8, we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = x^n, then the derivative of f(x) is given by f'(x) = n*x^(n-1).
In our case, the function is f(x) = -9/x. Rewriting it as f(x) = -9*x^(-1), we can apply the power rule and find that the derivative is f'(x) = (-1)*(-9)*x^(-1-1) = 9/x^2.
Substituting x = -8 into the derivative formula, we get f'(-8) = 9/(-8)^2 = 9/64.
In geometry, the word draw means the same as the word
Answer:
Construct
Step-by-step explanation:
"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil.
Maximum number of possible solutions x^2+4y^2=64 x+y=5
Answer:
2
Step-by-step explanation:
We don't need to "solve" this to figure out the answer.
We need to recognize that the first equation given is that of an ellipse and the second equation given is that of a line.
A line and an ellipse in a coordinate system can have these outcomes:
1. They can intersect (touch) at 1 point
2. They can intersect at 2 points
3. Can't intersect at all
Thinking will make sense. So, the maximum number of possible solutions is 2.
Note: The number of points of intersection are the solutions as well
at what point does the line with equation y=4-2x cut the y axis?
Answer:
4
Step-by-step explanation:
This equation is in a reversed form of slope-intercept, or y=mx+b. In this form, b is the y-intercept and in the equation b is equal to 4 and the slop is 2!