61 is a required answer.
Answer:
[tex]\boxed{5²+6²=5*5+6*6=25+36=61}[/tex]
What is the mean, outlier & mean without outlier for 4; 4; 5; 6; 8; 9; 27
Answer:
the mean is 9.
Step-by-step explanation:
mean=4+4+5+6+8+9+277
= 63 7 9 is the answer.A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.
Answer:
(105 | 35)
the x-component (how much to the side) is left, the y-component right (how high)
The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
What is a graph?A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.
For the given situation,
The graph shows the time in x-axis and cost in y-axis.
Ordered pairs are often used to represent two variables.
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.
From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.
Thus the point of intersection is x at 110 and y at 35.
⇒ [tex](x,y)=(110,35)[/tex]
Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
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Using the following equation, find the center and radius:
x2 −2x + y2 − 6y = 26 (5 points)
Question 13 options:
1)
The center is located at (−1, −3), and the radius is 36.
2)
The center is located at (1, 3), and the radius is 36.
3)
The center is located at (−1, − 3), and the radius is 6.
4)
The center is located at (1, 3), and the radius is 6.
(NO LINKS OR ABSURD ANSWERS)
Answer: 4) The center is located at (1, 3), and the radius is 6
Step-by-step explanation:
Solve the general equation of the circle.
x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2
Hence, the coordinates of the center (1,3) And the radius will be 6
The center is located at (1,3) and the radius is 6.
What is center of the circle?"The center is the point from which all of the points on the circle are the same distance."
What is radius of the circle?"The radius is the exact distance from the center to any point on the circle."
We have
[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]
Add 1 and 9 on both sides of equation
⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]
⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]
⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)
We know the Standard form of equation of the circle
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
By comparing the standard form and equation (1)
Center (h, k) = (1, 3) and radius is 6
Hence, The center is located at (1,3) and the radius is 6.
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Which of the following are one-dimensional figures?
Check all that apply.
Answer:
2&3
Step-by-step explanation:
Can y’all help me ASAP please?
Step-by-step explanation:
[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]
[tex]64y + 6x = [/tex]
[tex]\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]64 \: y + 6 \: x[/tex]
[tex] = 2 \: ( \: 32 \: y + 3 \: x \: )[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Answer:
2 ( 32y + 3 x)
Step-by-step explanation:
64 y + 6x
factor out 2 from the equation
2 ( 32y + 3 x)
Find the second derivative of the function.
Answer:
[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
Step-by-step explanation:
we would like to figure out the second derivative of the following:
[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]
we can rewrite it thus rewrite:
[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]
take derivative in both sides:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]
by sum derivation we obtain:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]
by exponent derivation we acquire:
[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]
take derivative In both sides once again:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]
use difference rule which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]
use exponent derivation which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]
by law of exponent we get:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
hence, our answer is d)
Math problem please
if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)
Answer:
(f-g)(x)=4x^2+1-x^2+5
=3x^2+6
=3(x^2+2)
The equation sin (25 degree) equals StartFraction 9 Over c EndFraction can be used to find the length of Line segment A B.
Answer:
[tex]AB = 21.3[/tex]
Step-by-step explanation:
Given
[tex]\sin(25) = \frac{9}{c}[/tex]
See attachment
Required
Find AB
We have:
[tex]\sin(25) = \frac{9}{c}[/tex]
Make c the subject
[tex]c = \frac{9}{\sin(25)}[/tex]
[tex]c = 21.3[/tex]
From the attached triangle;
[tex]AB = c = 21.3[/tex]
Hence:
[tex]AB = 21.3[/tex]
Ben is monitoring a colony of bacteria. Initially, the colony consists of 159 bacteria. The following function represents the number of bacteria in the colony after x hours.
Which expression approximately represents the number of hours, x, it takes for the number of bacteria in the colony to reach 168?
Answer:
No solution is possible from the information provided
Step-by-step explanation:
you didn't include the function.
A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?
What is a two-column proof
Answer:
A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.
Step-by-step explanation:
Basically in simple terms, one side is the statements, and the otherside is the reasoning
Find the 23rd term of the arithmetic sequence whose common difference is d=4 and whose first term is a^1 = 3.
Answer: the 23rd term of the arithmetic sequence=91
Step-by-step explanation:
The nth term of an arithmetic sequence is given as
an=a+ (n-1) d
Given common difference , d=4 and
first term is a^1 = 3.
We have that
a₂₃=3+ (23-1) 4
a₂₃=3+ (22) 4
a₂₃=3+ 88
a₂₃=91
the 23rd term of the arithmetic sequence=91
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
Can you explain it if you could I don’t get it
Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
Find the value of x (No explanation please :)
Answer:
48
Hope this helps!
PLEASE GIVE ME THE PERCENTAGES FOR THIS CHART!
BRAINLIEST REWARD!!
Answer:
Sleeping - 30.2%
School - 17.6%
Homework - 0%
EC - 6.73%
Computer - 13.45%
Phone - 0%
Television - 1.68%
Excercise - 6.73%
Family time - 20.18%
Other - 3.36%
Step-by-step explanation:
hope this helps :)
Can someone please help
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm and i Oop
Step-by-step explanation:
The summation symbol, is the Greek capital symbol and it is used like the English S. Why do you think it was chosen to represent a Sigma Notation?
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
its correct on EDGE2021
Please help with this question!
Answer:
a =9 b=0 c=6
Step-by-step explanation:
6+9x^2
Rewrite
9x^2 +0x+6
This is in the form
ax^2+bx+c
a =9 b=0 c=6
Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?
The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.
Answer:
the third option
Step-by-step explanation:
Part A
Find the formula for the corresponding inverse function g(x).
Part B
Select all of the points that would appear on the graph of y = g(x).
1. A
2. B
3. C
4. D
5. E
6. F
7. Lin is saving $300 per year in an account that pays 15% interest per year,
compounded annually. About how much money will she have 20 years after she
started?
A. $545.45
B. $3,748.78
C. $9,411.43
D. $1,124,634,54
Answer:
c
Step-by-step explanation:
to much working out but just as a summary section of working out
3*15=45
300+45=$345(1st year)
345+300=645
6.45*15=96.75
645+96.75=$741.75(2nd year)
keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)
The total money with Lin after 20 years will be $4910.
What is the formula to calculate compound interest?The formula for compound interest -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.
We can write the total money with Lin after 20 years as -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
A = 300(1 + 0.15/1)²⁰
A = 300(1 + 0.15)²⁰
A = 300 x (1.15)²⁰
A = 300 x 16.37
A = 4910
Therefore, the total money with Lin after 20 years will be $4910.
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Select all of the following that are equivalent to 1 10,000 1 A. (10,000) B.(-10,000 D c. 100) ( O D. (10)
Answer:
A. 10,000
Step-by-step explanation:
A. is 10,000, so it is equivalent to 10,000
B. -10,000 No
C. 100 No.
D. 10 No.
Hhhheeeelllllpppppppp
Answer:
35square meters
Step-by-step explanation:
5×7=35
What is m+n?
Please solve! I really need help!!
Answer:
I think 180
Step-by-step explanation:
I think 180 because it looks like M+n are supplimetary angles.
Sorry if this is wrong.
Simplify
7p2 x 3p
14p4
Answer:
294(p)^7
Step-by-step explanation:
7(p)^2 x 3p x 14(p)^4
=> 7 x 3 x 14 x (p)^2 x (p) x (p)^4
=> 21 x 14 x (p)^(2+1+4)
=> 294(p)^7
Find the distance between the two points in simplest radical form. (0,−7) and (−6,1)
Answer:
10
Step-by-step explanation:
d = √(x2 -x1)² + (y2 - y1)²
√(-6 - 0)² + [1 - (-7)]²
√(-6)² + (8)²
√(36) + (64)
√100
= 10
Someone help me with this please
Answer:
Hi, there the answer is -1
Step-by-step explanation:
