The value of x for the missing lengths in the given chords in the circle is; x = 4
How to Use the Intersecting Chord Theorem?The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle.
Thus, for two chords AC and BD intersecting in a point S the following equation holds: AS * SC = BS * SD
Thus, for this question;
8(x + 2) = 12x
8x + 16 = 12x
12x - 8x = 16
4x = 16
x = 16/4
x = 4
Read more about Intersecting Chord Theorem at; https://brainly.com/question/13950364
#SPJ1
What is the inverse of p>q
Inequalities help us to compare two unequal expressions. The inverse of p>q is p<q.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the inequality that p is greater than q, therefore, the inverse of it will be p smaller than q. Thus, The inverse of p>q is p<q.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ1
Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation
The value of the temperature in function notation is gotten as; f(x) = 91 - 11x
How to write a function Notation?Let us first find the relationship between temperature and how long the turkey sits out.
The temperature after the normal 390 minutes is equal to approximately 6.5 hours.
Let us create a ratio and solve for x, which represents the temperature change during that extra hour after the "normal time sitting out".
Thus;
(7.5/6.5) = (80/80+ x)
Solving for x gives x = -10.7.
This means that for every extra hour it sits out, the turkey cools approximately 11°. When we add that to 80°, we have 91° which is the expected temperature after 390 minutes (6.5 hours) of sitting out.
Thus, the motion as a function of time is;
f(x) = 91 - 11x
Read more about Function Notation at; https://brainly.com/question/27834526
#SPJ1
Please help !!! I will give 20 points to correct answer !!!!
Answer:
the answer above the image
Answer:
a=-4/3, 14/3
Step-by-step explanation:
absolute value only makes the answer become positive whether the value inside is negative or positive.
so -3a+5=9 or -3a+5=-9 all works
-3a+5=9
-3a=4
a=-4/3
If -3a+5=-9
-3a=-14
a=14/3
Determine the number of zeros of the polynomial function. f(x) = x^3 + 7x^2 + 2
Answer:
3
Step-by-step explanation:
The fundamental theorem of algebra tells you the number of zeros is equal to the degree of the polynomial.
__
applicationThe given degree-3 polynomial has 3 zeros.
__
Additional comment
Descarte's rule of signs tells you the absence of sign changes among the coefficients means that there are no positive real roots. Changing the sign of the one odd-degree term gives one sign change, so there is one negative real root. The other two zeros are complex.
one negative real zero, and two complex zeros
A graph confirms that the only real zero is negative and irrational, about -7.04.
Isabella is making a scrapbook each page of the scrapbook is a square with a length of 11 in if each page holds three pictures that each have an area of 15 in squared what is the remaining area on each page and square inches that can be used for decoration
The remaining area of the page will be 80 square inches.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
The area of the remaining part will be calculated as;-
Area of the square page will be = 11 x 11 = 121 square inches.
Area of three pictures will be = 15 x 3 = 45 square inches.
So the remaining area will be = 121 - 45 = 80 square inches.
Therefore the remaining area of the page will be 80 square inches.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ1
The graph of a function is shown on the coordinate plane below.
Between which two values of x is the function nonlinear and increasing?
A -5 and -3
B -3 and 1
C 1 and 4
D 4 and 6
The answer to this question is choice B
Please help
Tell me the solution of this question .. if 7+9=254016 , 3+7=7779240 , 5+8=2496000 then 4+5=?
Based on the data given on the number pattern, 4 + 5 = 180
Number pattern7 + 9 = 254016
3 + 7 = 7779240
5 + 8 = 2496000
7 + 9 = (7 × 9)^|7-9| × (7 + 9) × |7 - 9)
= 69² × 16 × 2
= 4761 × 16 × 2
= 254,016
3 + 7 = (3×7)^|3-7| × (3+7) × |3-7|
= 21⁴ × 10 × 4
= 194,481 × 10 × 4
= 7,779,240
So,
4 + 5 = (4×5)^|4-5| × (4+5) × |4-5|
= 20¹ × 9 × 1
4 + 5 = 180
Learn more about pattern of numbers:
https://brainly.com/question/6561461
#SPJ1
Circle G is shown. Line segment F G is a radius with length 3.
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.
What is the area of Maria’s circle?
6Pi units squared
9Pi units squared
12Pi units squared
18Pi units squared
By definitions of the area of a circle and area ratios, we conclude that the area of the circle drawn by Maria is equal to a value of 18π units squared.
What is the area of the circle?
In this question we have a circle whose radius (r) is kwown. Besides, we know that Maria draws a circle with double the area of the prior circle. The area of the circle (A) is described by the following formula:
A = π · r² (1)
Then, we have that the area drawn by Maria is:
A = 2 · [π · 3²]
A = 18π
By definitions of the area of a circle and area ratios, we conclude that the area of the circle drawn by Maria is equal to a value of 18π units squared.
To learn more on circles: https://brainly.com/question/11833983
#SPJ1
Answer:
18π units squared
Step-by-step explanation:
On edge
5, 3.1.24
f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]
Given that [tex]f(x) = 3x^2 + 5[/tex], we have
[tex]f(x + 3) = 3 (x + 3)^2 + 5 \\\\= 3 (x^2 + 6x + 9) + 5 \\\\= 3x^2 + 18x + 32[/tex]
so that
[tex]f(x+3) - (f(x) + 3) = (3x^2 + 18x + 32) - (3x^2 + 8) \\\\= \boxed{18x + 24}[/tex]
is y=6x-3 a function
Yes it is
Step-by-step explanation:
it is a linear function as it is written in the standard form Y=MX+C
5m³ into cm³
Show the answer step by step
Answer: So you want to convert 5 cubic meters into cubic centimeters? If you're in a rush and just need the answer, the calculator below is all you need. The answer is 5000000 cubic centimeters.
Step-by-step explanation:
algebra 2 help needed image below urgent !!!
Answer:
Domain = x ≥ 0
Range = y ≥ 20
Step-by-step explanation:
The equation in slope-intercept form would look like this:
y = 4x + 20
The slope is $4 because that is the money that can be made depending on the week. Because he received a random $20 at the beginning, this is just an additional income.
---------------------------------------------------------------------------
In this scenario, the domain (x-values) represent the number of weeks. The range (y-values) represent the total money made.
So the domain is asking, what is the lowest/highest amount of weeks he can save for? We know the number of weeks cannot be negative because he can't save for negative weeks. However, he could save for zero weeks. He can be saving for theoretically infinite weeks. Therefore, the domain is x ≥ 0.
The range is asking, how much money can he save? Since he starts out with a baseline of $20, this is the lowest amount of money he can have. If he were to save for an infinite amount of weeks, he could make an infinite amount of money. Therefore the range is y ≥ 20.
EAsy math challenge! Click me!
Answer:
the answer is 64
Step-by-step explanation:
now atleast mark me brainliest answer
the product of a quarter of 3 more than a number a and 2 times a number b
Answer:
[tex] \frac{1}{4} (3a + 2b)[/tex]
The expression from the given condition is 1/4(3a+4b).
We have given that,
The product of a quarter of 3 more than a number a and 2 times a number b.
What is the quarter?
The quarter means divided into four equal or corresponding parts.
Therefore we get the expression from the given condition is
1/4(3a+4b).
To learn more about the expression visit:
https://brainly.com/question/12907094
#SPJ1
A consultant needs to make at least $600 this week. She earns $120 for each
new written piece and $60 for each review. Which of the following inequalities
represents the possible combinations of reviews and new written pieces that
she must complete?
OA. 120x+60 y ≤ 600
OB. 120x+60y < 600
O C. 120x+60y 2 600
OD. 120x+60y > 600
SUBMIT
what is the ratio of the radius of circle a to the radius of circle b?
Answer:
3:1
Step-by-step explanation:
Assuming that the edges of the circle are supposed to line up with the dotted lines of the graph, all you have to do is count how many lines are between the middle of the circle and the edge (either directly vertical or horizontal due to the graph we are using). We can see that the radius of circle A is approximately 3 units, while the radius of circle B is approximately 1 unit. So the ratio of the radius of circle A to the radius of circle B is 3:1.
Answer:
3:1
Step-by-step explanation:
because once count the radius of the big circle that is 3 unit and the radius of small circle is 1 unit
The function y=(x-4)2+3 is a transformation of the function y=x2. How is the functions vertex affected by the transformation?
It is shifted 4 units right and 3 units up.
It takes 70 pounds of seed to completely plant an 8-acre field. How many acres can be planted per pound of seed?
No. of pounds of seed it takes to plant an 8-acre field = 70 pounds.
No. of acres can be planted per pound of seed = 70/8
= 8.75.
thus, 8.75 acres can be planted per pound of seed.
Determine the equation of the line with slope m=2/3, passing through the point (0,4)
Answer:
y = 2/3x + 4
Step-by-step explanation:
The slope-intercept form is y=mx+b. m (the slope) is equal to 2/3, so you can substitute that number in for m. B is the y value of the y-intercept. The y-intercept is (0,4) as given in the problem, so the value of b is 4. You can substitute that value into the equation as well.
Solve the following system of equations:
4x − 2y − z = −5
x − 3y + 2z = 3
3x + y − 2z = −5
(0, 1, 3)
(0, −1, 3)
(0, 1, −3)
(0, −1, −3)
Answer: (0, 1, 3)
Step-by-step explanation:
Adding the second and third equations, we get [tex]4x-2y=-2[/tex]Multiplying both sides of the first equation by 2, we get that [tex]8x-4y-2z=-10[/tex]. Adding this to the second equation, we get that [tex]9x-7y=-7[/tex].If we multiply both sides of the equation [tex]4x-2y=-2[/tex] by 7, we get [tex]28x-14y=-14[/tex].
If we multiply both sides of the equation [tex]9x-7y=-7[/tex] by 2, we get [tex]18x-14y=-14[/tex].
Subtracting the equation [tex]28x-14y=-14[/tex] from the equation [tex]18x-14y=-14[/tex], we get that [tex]-10x=0 \longrightarrow x=0[/tex].
This means that [tex]4(0)-2y=-2 \longrightarrow y=1[/tex]
And thus, [tex]4(0)-2(1)-z=-5 \longrightarrow -2-z=-5 \longrightarrow z=3[/tex].
So, the solution is (0, 1, 3).
The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.
The graph shows f of x equals x squared minus 2, which is an upward opening parabola with a vertex at 0 comma negative 2 and a point at negative 1 comma negative 1 and a point at 1 comma negative 1. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 5 and a point at negative 1 comma 4 and a point at 1 comma 4.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x2 – 2
y ≥ –x2 + 5
We will need to shade the region above f(x) and the region below the function g(x)…
How to transform the graph into the solution set?We have:
f(x) = x² - 1
g(x) = -x² + 4
Both of these are already graphed, and we want to transform it into:
y > f(x)
y ≤ g(x)
The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x)…
For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve…
If you want to learn more about inequalities, you can read:
brainly.com/question/18881247
Examine the following three premises: i. All kids who have a smartphone play mobile legends.
ii. All people who play mobile legends enjoy life.
iii. Some college instructors enjoy life. Now consider each of the following six conclusions. For each conclusion, determine whether the argument formed by the three premises and the conclusion is valid or invalid.
1. Therefore, some college instructors have a smartphone.
2. Therefore, some college instructors play mobile legends.
3. Therefore, some kids who play mobile legends are college instructors. Examine the following three premises :
i . All kids who have a smartphone play mobile legends .
ii . All people who play mobile legends enjoy life .
iii . Some college instructors enjoy life . Now consider each of the following six conclusions . For each conclusion , determine whether the argument formed by the three premises and the conclusion is valid or invalid .
1. Therefore , some college instructors have a smartphone .
2. Therefore , some college instructors play mobile legends .
3. Therefore , some kids who play mobile legends are college instructors .
Answer:
The increasing number of students who are hooked on playing online mobile games (OMG) is alarming. As such, this study was realized to address the problem. This study assessed the gaming profile towards OMG and its relation to the academic performance of the engineering students of Eastern Visayas State University Tanauan Campus (EVSUTC). Specifically, the study investigated the correlation between student's number of hours spent on playing OMG (at school and home), commonly played OMG (at school and home), reasons for playing OMG and attitudes on playing OMG with academic performance utilizing Eta and Pearson r correlation analyses. A random sample of 134 student respondents were selected through purposive sampling of those who are playing OMG using their mobile phones. Descriptive correlational research design was utilized and a validated survey instrument was employed to gather the needed information. The findings revealed that majority of the students played mobile legends and spent mostly 2 hours playing OMG for a reason of boredom. The overall attitudes of the students on playing OMG were interpreted as Less Favorable (M=2.58, SD=1.13). Out of the independent variables being set in the study, the number of hours spent on playing OMG at home (r=-0.188, p=0.039) and commonly played OMG at school (r=0.203, p=0.045) were found significantly correlated with student's academic performance. Hence, the students' time spent on playing OMG at home and the type of games that students played at school have significant bearing to their academic performance. As such, delimiting student's usage of internet can be made to address the problem.
what is the general term for sequence -6;3;15;30?
Answer:
[tex] \frac{3}{2} n {}^{2} + \frac{9}{2} n - 12[/tex]
Step-by-step explanation:
This sequence is a quadratic sequence meaning that we should find the difference and the constant second difference.
The difference between the 4 terms is in the sequence:
9;12;15
The constant second difference is 3.
Use your method of finding the general term:
2a=3 3a+b=9 a+b+c=-6
a=3/2 3(3/2)+b=9 3/2+9/2+c=-6
b=9/2 c=-12
Standard form for quadratic sequence:
[tex] {an}^{2} + bn + c[/tex]
Therefore your general term is the one stated above in the answer.
Hope that helps!
Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there?
Answer:
Step-by-step explanation:
it equal 925 tins in total when you multiply 37 times 25. Hope that helps
The velocity of a car over five hours is given by v(t)=60ln(t+1),0≤t≤5 in kilometers per hour. What is the total distance traveled from t=0 to t=5? Round your answer to the nearest whole number and do not include units.
Step-by-step explanation:
as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.
v(t) = 60×ln(t + 1)
V(t) = 60 × integral(ln(t + 1)) between 0 and 5.
integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C
V(t) = 60 × ((t + 1)ln(t + 1) - t + C)
the distance traveled between t = 0 and t = 5 is then
60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =
= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =
= 60×(5.750556815... + C) - 60×C =
= 60×5.750556815... = 345.0334089... ≈ 345 km
factor completely
0.09y² - 0.81
Answer:
[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]
Step-by-step explanation:
The difference of squares formula gives us
[tex]a^2 - b^2 = (a+b)(a-b)[/tex]
(you can multiply this out to confirm)
[tex]0.09y^2 = (0.3y)^2[/tex]
and
[tex]0.81 = 0.9^2[/tex]
Thus, by the difference of squares formula
[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]
Tim has 9 pencils in his book bag. Jaime has 3 more pencils than Tim. Which of the following equations would describe n, the number of pencils that Jaime has in her book bag?
for what value of k will the relation not be a function
R={(k-8.3+2.4k,-5),(3/4k,4)}
Step-by-step explanation:
hope you can understand
(5x+7)(8x+7) = 0
Find the two possible values.
[tex](5x + 7)(8x + 7) \\ \\ 5x + 7 = 0 \\ \\ 5x = - 7 \\ \\ x = \frac{ - 7}{5} \\ \\ 8x + 7 = 0 \\ \\ 8x = - 7 \\ \\ x = \frac{ - 7}{8} .[/tex]
the values of x are -7/5 and -7/8 .
Hi!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer.}\circ\leftharpoonup[/tex]
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
Set each factor equal to 0.
[tex]\twoheadrightarrow\sf 5x+7=0[/tex]
[tex]\twoheadrightarrow\sf 8x+7=0[/tex]
[tex]\bullet[/tex] Solve each equation
[tex]\twoheadrightarrow\sf 5x+7=0[/tex]
[tex]\bullet[/tex] Subtract 7 from both sides
[tex]\twoheadrightarrow\sf 5x=-7[/tex]
[tex]\bullet[/tex] Divide both sides by 5
[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{5}}[/tex]
[tex]\bullet[/tex] Now let's solve the second equation
[tex]\twoheadrightarrow\sf 8x+7=0[/tex]
[tex]\bullet[/tex] Subtract 7 from both sides
[tex]\twoheadrightarrow\sf 8x=-7[/tex]
[tex]\bullet[/tex] Divide both sides by 8
[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{8}}[/tex]
[tex]\bullet[/tex] Great job, we found the two possible values
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
Discriminat step by step of x^2+4x+5=0
Answer:
-4
Step-by-step explanation:
x^2+4x+5=0
a=1,b=4^1 C=5
4^2-4×1×5
-4