Answer:
diameter
Step-by-step explanation:
A chord is a line segment connecting any 2 points on the circumference of the circle.
The diameter connects 2 points and also passes through the centre of the circle, making it the longest chord.
solve[tex]x^2-8x-9=0[/tex] algebraically
Answer:
x=9 x=-1
Step-by-step explanation:
We can factor
x^2 -8x-9 =0
What 2 numbers multiply to -9 and add to -8
-9*1 = -9
-9 +1 = -8
(x-9) (x+1) =0
Using the zero product property
x-9 =0 x+1 =0
x=9 x=-1
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
Solving the equation
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Answer:
A and C
Step-by-step explanation:
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill. I did the test and got 100 percent
On the day of the field trip, each teacher must call the parents of any student who has not returned a permission slip. All of Mr. Gomez’s students returned their permission slips, so he did not have to make any calls. Mrs. Hooper and Mr. Anderson had to call a total of eight parents. Mrs. Hooper needed to call two more students than Mr. Anderson which set of equations correctly describes the phone calls made
h=mrs hooper
a=mr anderson
A. H+A=8 ; H=A+2
B. H+A=8 ; A=H+2
C. H+A=2 ; H=A+8
D. H+A=2 ; A=H+8
Answer:
B
Step-by-step explanation:
B is the correct answer. Since Mrs. Hooper and Mr. Anderson had to call a total of 8 parents, you know the first equation must be either A or B (H + A = 8).
Since you know that Mrs. Hooper had to call 2 more parents than Mr. Anderson, the equation will have to have H + 2 on one side; that's how you know the correct answer is B.
The set of equations which correctly describes the phone calls made is A. H + A = 8 ; H = A + 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
H denote the number of calls Mrs. Hooper made and A denote the number of calls Mr. Anderson made.
Mrs. Hooper and Mr. Anderson had to call a total of eight parents.
So, the equation representing this is, H + A = 8
Mrs. Hooper needed to call two more students than Mr. Anderson.
H = A + 2
So the set of equations are,
H + A = 8 ; H = A + 2
Hence the correct option is A. H + A = 8 ; H = A + 2
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(10 points)
Solve for x. Assume that the lines which appear to be tangent are tangent
The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.
1. 4x + 3 = 3x +12
Subtract 3x from each side:
x +3 = 12
Subtract 3 from both sides:
x = 9
2. -2 + x = 2x -7
Subtract 2x from both sides:
-2 - x = -7
Add 2 to each side:
-x = -5
Multiply both sides by -1:
x = 5
The value of x for both the circles is 9 and 5 .
What are Tangents ?
A tangent for a circle is defined as a straight line which touches the circle at just one point.
The tangent is perpendicular to the radius of the circle at the point of where tangent touches the circle.
It is given in the question to find the value of x
When two tangents meet at a point C , the distance between the point of tangency and the point C is equal for both the tangent.
Therefore for the given circle
For first circle to solve for x , we will equate the two distances
4x + 3 = 3x +12
x +3 = 12
x = 9
-2 + x = 2x -7
-2 - x = -7
-x = -5
x = 5
Therefore the value of x for both the circles is 9 and 5 .
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Which of the following situations can be defined using an exponential function?
A)The value of the stocks decreased by $100 last year.
B)The number of bacteria increases by 700 each hours.
C)The value of the stocks increases by $10 every year you own them.
D)The number of bacteria decreases by 7% each hour.
Answer:
D) The number of bacteria decreases by 7% each hour.
Step-by-step explanation:
Exponential functions describe situations where values do not increase at a linear or constant rate. Adding or subtracting every year or hour will result in a linear function, so A, B, and C are incorrect.
Option (D) The number of bacteria decreases by 7% each hour is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
As we know, the exponential function increases rapidly according to the exponent.
It is not a linear function, and it never gives a negative value if the value of a>0
As the no other information was given.
Thus, option (D) The number of bacteria decreases by 7% each hour is correct.
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what is the solution to
- 4x + 28 > 12
Answer:
[tex]\large\boxed{x<4\to x\in(-\infty,\ 4)}[/tex]
Step-by-step explanation:
[tex]-4x+28>12\qquad\text{subtract 28 from both sides}\\\\-4x>-16\qquad\text{change the signs}\\\\4x<16\qquad\text{divide both sides by 4}}\\\\x<4[/tex]
PLEASE last one to graduate!!
Answer:
[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]
Step-by-step explanation:
The graph of the cosine function can be obtained by shifting the sine function to the left by [tex]\frac{\pi}{2}[/tex] units.
The given cosine function is:
[tex]y=4\cos(\frac{3}{2}x+\frac{\pi}{6})[/tex]
When we shift this function to the left by [tex]\frac{\pi}{2}[/tex] units, we obtain a sine function
[tex]y=4\sin(\frac{3}{2}x+\frac{\pi}{6}+\frac{\pi}{2})[/tex]
[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]
These two functions have the same graph
The second option is correct.
How do you graph |x| = -2
Answer:
Graph of given function doesn't exist.
Step-by-step explanation:
Given equation is [tex]|x|=-2[/tex].
Now we need to determine about how do you graph [tex]|x|=-2[/tex].
We know that [tex]|x|[/tex] represents absolute value function.
By definition of absolute value function, we know that output of [tex]|x|[/tex] must always be positive.
But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.
That is not possible.
Hence there is no solution to the given problem [tex]|x|=-2[/tex].
So the graph of given function doesn't exist.
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Use the order of operations. Which operation should you perform last to evaluate the expression? (7×4)+(10÷2)×(14.7−9)
A.multiplication
B. division
C. addition
D. subtraction
Answer:
Pemdas subtracting would be last
Step-by-step explanation:
The operation should perform last to evaluate the expression is Addition.
What is BODMAS?The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement.
B - Brackets, O - Order of powers or roots, (in some cases, 'of'), D - Division, M - Multiplication A - Addition, and S - Subtraction.
We have the expression,
(7×4)+(10÷2)×(14.7−9)
Now, using BODMAS first division is performed.
(7×4)+ 5 x (14.7−9)
Now, Multiplication is performed
28 + 5 x (14.7-9)
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A storage room measuress 48 inches by 60 inches. What is the total area, in square feet, of the closet?
Multiply the two numbers.
48*60=2880 inches
I think this is the way to answer this question.
A region with a 7-mile radius has a population density of about 2200 people per square mile. Find the number of people who live in the region to the nearest ten thousand.
Answer:
[tex]340,000\ people[/tex]
Step-by-step explanation:
step 1
Find the area of the circular region
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7\ mi[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(7)^{2}[/tex]
[tex]A=153.86\ mi^{2}[/tex]
step 2
Find the number of people who live in the region
Multiply the area by the density
so
[tex]A=153.86*(2,200)=338,492\ people[/tex]
Round to the nearest ten thousand
[tex]338,492=340,000\ people[/tex]
The number of people who live in the region to the nearest ten thousand is 340,000.
What is the number of people living in the region?Population density is the amount of organisms that live in a square feet of an area.
Population density x area = population
Area = πr²
3.14 x 7² = 153.86 m²
Population = 153.86 x 2200 = 340,000
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what does it mean when the correlation coefficient has a positive value?
Answer:
A
Step-by-step explanation:
means that as the value of one variable increases, the value of the other variable increases; as one decreases the other decreases.
Isabella caries a box up a metal ramp into the back truck. The ramp is 3 meters long and the bottom makes a 32 degree angle with the ground. How many meters is the ground distance between the bottom of the ramp and the back of the truck?
Answer:
2.5 m
Step-by-step explanation:
Consider the ramp, the ground and the back of the lorry to form a right triangle where the ramp is the hypotenuse and the distance from the back of the lorry is the adjacent side, x
Using the cosine ratio in the right triangle
cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3}[/tex]
Multiply both sides by 3
3 × cos32° = x, hence
x ≈2.5 m
The area of a trapezoid is 48 square inches. If the bases of the trapezoid are 9 inches and 15 inches, what is the height? 2 in. 1 in. 8 in. 4 in.
Answer:
Option D 4 inches is correct.
Step-by-step explanation:
Area of trapezoid = 48 square inches
Base a = 9
Base b = 15
We need to find the height h.
The formula for area of trapezoid is
Area = (a+b)/2 * h
Putting the values, we get
48 = ( 9+15)/2 * h
48 = (24)/2 * h
48 = 12 *h
=> h = 48/12
h = 4 inches
So, Option D 4 inches is correct.
Answer:
4 in.
Step-by-step explanation:
The area of a trapezium is calculated using the formula:
[tex]Area=\frac{1}{2}(Sum\:of\:the\:bases)\times height[/tex]
The given tra-pezoid has area [tex]48[/tex] square inches.
The bases are given as 9 inches and 15 inches.
We plug in the known values into the formula to get;
[tex]48=\frac{1}{2}(9+15)\times height[/tex]
[tex]48=\frac{1}{2}(24)\times height[/tex]
[tex]48=12\times height[/tex]
Divide both sides by 12.
[tex]\frac{48}{12}=height[/tex]
[tex]4 in.=height[/tex]
Therefore the height of the trapezoid is 2 inches.
What is the solution of -3x -12>3
Answer: x<5
How?
-3x-12>3
(Add 12 to both sides)
-3x>15
(Divide -3 by 15)
x<5
(Remeber to flip the signs since you are dividing by a negative.)
Chris is checking to determine if the expressions 2(x+3) and 2 x+4+2x are equivalent. When x=1 , he correctly finds both expressions have a value of 8. When x=2, he correctly evaluates the first expression to find that 2(x+3)=10
Final answer:
The expressions 2(x+3) and 2x+4+2x are not equivalent.
Explanation:
To determine if the expressions 2(x+3) and 2x+4+2x are equivalent, we can simplify them and compare the results. Let's simplify each expression when x=1:
2(x+3) = 2(1+3) = 2(4) = 8
2x+4+2x = 2(1)+4+2(1) = 2+4+2 = 8
Both expressions evaluate to 8 when x=1, so they are equivalent. Now, let's evaluate the first expression when x=2:
2(x+3) = 2(2+3) = 2(5) = 10
The first expression evaluates to 10 when x=2, which is different from the value of 8 obtained from the second expression. Therefore, the expressions 2(x+3) and 2x+4+2x are not equivalent.
Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below.
SA = 2 [(5)(7)] + 2 [(6)(7)] + 2 {tex]\frac{1}{2}[/tex(5)(9.3)] + 2 [[tex]\frac{1}{2}[/tex(6)(9.2)] = 255.7
Answer:
The surface area of the composite figure is [tex]285.7\ units^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the composite figure is equal to the lateral area of the rectangular prism plus the area of the base of rectangular prism plus the lateral area of the pyramid
[tex]SA=2(5+6)(7)+(5)(6)+2[\frac{1}{2}(6)(9.2)] +2[\frac{1}{2}(5)(9.3)]\\ \\SA=154+30+55.2+46.5\\ \\SA=285.7\ units^{2}[/tex]
Karla in her work does not consider the area of the base of the rectangular prism.
Answer:
B-She left out one of faces of the solid. She should have simplified
Step-by-step explanation:
the dude before me is wrong i got 100%
help a brother out find me on ticktock and gramy - yrkjncl
Multiple Choice | Apex | Pre-Cal
what is the maximum number of possible solutions for the system shown below?
3x^2+y^2=64
x^2+y=10
A. 1
B. 2
C. 3
D. 4
The answer is D. because when you solve the equation by combining expressions and isolating the variable, both equations have 2 solutions-
Answer:
D
Step-by-step explanation:
A bag contains five white marbles and five black marbles. What is the probability of drawing a WHITE marble, NOT replacing it, and then drawing another WHITE marble?
The probability is 1:2
Answer:
4/18
Step-by-step explanation:
You have 5 WHITE marbles and 5 Black marbles.
The probability of drawing a WHITE marble is 5/10 or 1/2
And the probability of drawing the second (marble another WHITE marble) is 4/9
So 1/2 x 4/9 = 4/18 or 5/10 x 4/9 = 20/90 / 5 = 4/18
Therefore the probability of drawing a WHITE marble not replacing it then drawing another WHITE marble is 4/18
A fair four-sided number die is marked 1, 2, 2, and 3. A spinner, equally divided into
3 sectors, is marked 3, 4, and 7. Jamie tosses the number die and spins the spinner.
a) Use a possibility diagram to find the probability that the sum of the two resulting
numbers is greater than 5.
b) Use a possibility diagram to find the probability that the product of the two
resulting numbers is odd.
The probability that the sum of the two resulting numbers is greater than 5 is 2/3
The probability that the product of the two resulting numbers is odd is 1/3
How to determine the required probabilities
From the question, we have the following parameters that can be used in our computation:
Die = {1, 2, 2, 4}
Spinner = {3, 4, 7}
The sample space is represented as
Space = {(1, 3), (1, 4), (1, 7), (2, 3), (2, 4), (2, 7), (2, 3), (2, 4), (2, 7), (4, 3), (4, 4), (4, 7)}
For the sum greater than 5, we have the following space
Space = {4, 5, 8, 5, 6, 9, 5, 6, 9, 7, 8, 11}
In the above, we have
Total = 12
Sum greater than 5 = 8
So, this probability is
P = 8/12 = 2/3
For the product resulting in odd numbers, we have the following space
Space = {3, 4, 7, 6, 8, 14, 6, 8, 14, 9, 12, 21}
In the above, we have
Total = 12
Odd results = 4
So, this probability is
P = 4/12 = 1/3
Hence, the probabilities are 2/3 and 1/3
In a drawer you have 8 black socks and 5 yellow socks , if you pick out a sock what is the probability that pick out a black sock
13/8
fraction
I think cause you nees to add all of the socks together and put how many socks was black
Hello there!
Answer:
8/13
Step-by-step explanation:
In order to find the probability in questions like this, we would need to find the number that we want to get and the total amount of possibilities.
Important information in the text:
8 black socks5 yellow socksWith the information, we can find the probability.
In the question, we are trying to find the probability of picking out a black sock, and there is 8 black socks. The 8 will go on our numerator.
Our denominator would be the total amount of things that leads to our probability. Since we only have 8 black socks and 5 yellow socks, we would add 8 + 5 to get the total amount of socks.
8 + 5 = 13
The 13 will go in the denominator.
When you put all of the stuff together, you should get 8/13. You can't simplify it because 13 is an odd number that can't get any smaller.
8/13 is the probability of picking out a black sock
PLEASE HELP WILL GIVE POINTS!!!!!!!!!!!!PLS PLS PLS
Answer:
25 + 144 = 169
Step-by-step explanation:
Take a look at the first possible answer:
5² + 12² = 13². Is this true or not?
25 + 144 = 169, which is equal to 13². This set of side lengths represents a right triangle.
Answer:
5² + 12² = 13²
Step-by-step explanation:
[tex] {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ \\ \sqrt{169} = ±13[/tex]
I am joyous to assist you anytime.
(05.06)
A system of linear inequalities is shown below:
y-x>0
x+1<0
Which of the following graphs best represents the solution set to this system of linear inequalities
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y-x> 0 -----> inequality A
y> x
The solution of the inequality A is the shaded area above the dashed line y=x
x+1<0 ----> inequality B
x < -1
The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)
therefore
The solution of the system of inequalities in the attached figure
The bargain shows a company‘s income and expenses over the last five years. Which team is supported by the information in the graph
Check the picture below.
Which measurement could be a volume measure?
25 kg
36 m2
44 mm
75 in3
Answer:
75 in^3
Step-by-step explanation:
i know because i had the test, and the other persons answer is wrong :)
Express the series in summation notation.
2 + 4 + 6 + 8 + 10 + 12
ANSWER
[tex] \sum _{n = 1} ^{6} 2n[/tex]
EXPLANATION
The series is:
2 + 4 + 6 + 8 + 10 + 12
The first term is:
f(1)=2
The common difference is
[tex]d= 4 - 2 = 2[/tex]
The formula for the corresponding sequence is
[tex]f(n) = 2 + 2(n - 1)[/tex]
[tex]f(n) = 2 + 2n - 2[/tex]
[tex]f(n) = 2n[/tex]
The summation notation is:
[tex] \sum _{n = 1} ^{6} 2n[/tex]
15 of the students in a English class passed a English test. If these students are 75% of all the students in the class, how many students are in this English class? Round your answer to the nearest whole number if necessary
Answer:
Part 1) [tex]20\ students[/tex]
Part 2) [tex]95\%[/tex]
Part 3) [tex]9\ games[/tex]
Step-by-step explanation:
Part 1) Using proportion
[tex]\frac{15}{75\%}=\frac{x}{100\%}\\ \\x=15*100/75\\ \\x=20\ students[/tex]
Part 2) Using proportion
[tex]\frac{40}{100\%}=\frac38}{x\%}\\ \\x=100*38/40\\ \\x=95\%[/tex]
Part 3) Using proportion
[tex]\frac{18}{100\%}=\frac{x}{50\%}\\ \\x=18*50/100\\ \\x=9\ games[/tex]
Answer:
what he said
Step-by-step explanation:
What is the area of a triangle with base 18 meters and height
6 meters?
Answer:
27 meters
Step-by-step explanation:
a=1/2bh
a=1/2(18)(6)
a=27
David and Rob each got the same-size pack of crackers. David
ate 3/6 of his crackers. Rob ate 3/4 of his crackers. Who ate more of
his crackers? Compare the fractions using a symbol.
Show your work.
Answer: Rob ate more crackers.
Symbol answer: 6/12 < 9/12
Step-by-Step explanation:
Common knowledge: Anytime you have the same numerator, with a different denominator, the one with the bigger denominator is always smaller. For example, if had a pizza with 6 slices and a pizza with 4 slices, the one with 6 slices and smaller and the one with 4 slices and bigger. Even though 6>4 that mindset has to change when thinking about a problem like this.
Another explanation:
If you still don’t get it, simply find a common denominator, so we’ll choose 12. Take 3/6 and multiply that by 2/2 so you get 6/12 and then take 3/4 and multiply that by 3/3 on both the (numerator and denominator) and that equals 9/12.
So now you have the expression: 6/12<9/12.
Choose all of the terms that describe the set of lines.
Transversal
Parallel lines
Perpendicular lines
Intersecting lines
These lines are only parallel lines because these lines don't touch each other and parallel lines don't touch each other.
Answer:
These lines are only parallel.