Answer: 10
Step-by-step explanation: The diameter is twice the radius
Which equations are true for x = -2 and x = 2? Select two options
Ox²-4 = 0
0x²= -4
3x² + 12 = 0
14x² = 16
2(x-2)² = 0
Answer:
x2-4 = 0
x2= 4
x = 2 or x = (-2)
The equations that are true for x = -2 and x = 2 are:
x² - 4 = 0
2(x - 2)² = 0
Options A and D are the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
The values given for x are -2 and 2.
Therefore, we can substitute each value of x into the given equations to determine which are true for those values.
x² - 4 = 0
When x = -2, we have (-2)² - 4 = 0, which is true.
When x = 2, we have (2)² - 4 = 0, which is also true.
x² = -4
When x = -2, we have (-2)² = 4 which is not equal to -4, so this equation is false for x = -2.
When x = 2, we have (2)² = 4 which is not equal to -4, so this equation is false for x = 2.
3x² + 12 = 0
When x = -2, we have 3(-2)² + 12 = 0, which is false.
When x = 2, we have 3(2)² + 12 = 24, which is not equal to 0.
Therefore, this equation is false for x = 2.
14x² = 16
When x = -2, we have 14(-2)² = 56, which is not equal to 16.
Therefore, this equation is false for x = -2.
When x = 2, we have 14(2)² = 56, which is also not equal to 16.
Therefore, this equation is false for x = 2.
2(x-2)² = 0
When x = -2, we have 2(-2-2)² = 0, which is not equal to 0.
Therefore, this equation is false for x = -2.
When x = 2, we have 2(2-2)² = 0, which is equal to 0.
Therefore, this equation is true for x = 2.
Therefore,
The equations that are true for x = -2 and x = 2 are:
x² - 4 = 0
2(x-2)² = 0
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Which statement is true about the graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2?
They have no relation, except for the fact that they intersect.
We have given that,
The graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2
If the equations were instead y = +5/4x - 1/2 and
What is the slope of the perpendicular line?Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.
y = -4/5x + 2, or
y = +4/5 + 2 and
y = -5/4x -1/2,
Then they would be perpendicular.
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Which of the following is a solution to this inequality?
y<2/3x+2
O (0, 3)
O (-3, 1)
O (3,5)
O (1, 2)
Answer: D
Step-by-step explanation:
We can substitute in each of the coordinate pairs.
A) We get 3 < (2/3)(0)+2, which is false.
B) We get 1 < (2/3)(-3)+2, which is false.
C) We get 5 < (2/3)(3)+2, which is false.
D) We get 2 < (2/3)(1)+2, which is true.
help
Divide.
22.7 ÷ 0.04
Answer:
567.5
Step-by-step explanation:
it's 567.5. please add me to your followers
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digit can
repeat. What is the probability of choosing a random number that starts with 5 from this group? Enter a fraction or round your answer to
4 decimal places, if necessary.
Answer:
1/4 or 0.25
Step-by-step explanation:
The total possibilities of any 7 digit number using 0-9 is :
9×10×10×10×10×10×10=9000000
To work out the total possibilities in this question :
We look at the conditions :
The first digit can only be 5 numbers :
1 , 3 , 5 , 7 , 9
Now we subtract 5 from 9 :
9-5 = 4
Since no repeats for 2 , 3 , 4, 5, 6:
9 , 8 , 7 , 6 , 5,
5 possibilities for the last digit :
Total possibilities for this code :
4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400
If it begins with 5 that is only 1 possibility for the first digit
1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600
Now we make a fraction :
75600÷302400
Dividing top and bottom by 75600 gives you 1/4 or 0.25
Hope this helped and have a good day
Answer:
Step-by-step explanation:
Comment
The first digit and the last digit are both odd. That tells you that so far what you have is one of 5 digits for the first digit and and one of 4 for the last digit. 4 because you can't repeat the first digit.
5, , , , , ,4
2 digits are gone 8 remain.
5* 8 * 7* 6* 5* 4* 4 = 134400
Part 2
Only one number can go at the beginning, and that is a 5. Everything else remains the same.
1 * 8 * 7 * 6 *5 * 4 * 4 = 26880
P(picking a number beginning with a 5 is 25880 /13440) = 0.2
y=x^2 -2x -3 im not sure how to solve this
Answer:
It is solved on a graph
Step-by-step explanation:
A quadratic graphical solution.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 65 mph and
standard deviation 6 miles per hour. Let X be the speed for a randomly selected car
b. If one car is randomly chosen, find the probability that it is traveling more than 63 mph.
Answer:
B) the probability that is traveling more than 63 mph is 0.6293 (or 62.93%)
Step-by-step explanation:
Given:
Normally DistributedMean (μ) = 65 mphStandard Deviation (σ) = 6 miles per hourFinding the Probability:
If one car is randomly chosen, we want the probability that is traveling more than 63 mph is,
P(X > 63)
To find the value of z,
z = x - μ / σ
z is the standard scorex is the observed valueμ is the mean of the sampleσ is the standard deviation of the samplez = 63 - 65 / 6
z = -2 / 6
z = -1 / 3 which is approximately -0.33
Using Z table (attached below):
z = -0.33to find this on the table
on the vertical side under z go to -0.3on the horizontal next to z, go to .03The area under the curve is 0.3707
P(z > 63) = 1 - P(z < 63)
= 1 - 0.3707
= 0.6293
Hence the probability that is traveling more than 63 mph is 0.6293
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42+48/6=?
48/6 meaning a fraction not division
Answer:
50
Step-by-step explanation:
Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).
48/6 = 8
42 + 8 = 50
I’m going to need a serious answer through this one or I’m screwed.
Answer:
A = 60 ft²
Step-by-step explanation:
the area (A) of the shaded sector is calculated as
A = area of circle × fraction of circle
= 90 × [tex]\frac{240}{360}[/tex]
= 90 × [tex]\frac{2}{3}[/tex]
= 30 × 2
= 60 ft²
Answer:
58.83 ft^2
Step-by-step explanation:
Finding the radius:
A = πr^2
90 = πr^2
90/π = r^2
28.6 = r^2
5.3 = r
Using the area of a sector of a circle formula:
θ/360 x πr^2
240/360 x π(5.3)^2
= 58.83 ft^2
PLEASE HELP I WILL GIVE BRAINLEST!!!!!!
Below is the graph of a polynomial function with real comedic fangs. All local extreme of the function are shown in the graph.
Use the graph to answer the following questions.
(a) over which intervals is the function decreasing? Choose all that apply.
(-∞,-8) (-8,-4) (-4,0) (0,5) (-4,5) (9, ∞)
(b) At which x-values does the function have local minima? If there is more than one value seepage them with commas.
(C) what is the sign of the function’s leading coefficient?
Answers are positive, negative, not enough time
(D) which of the following is a possibility for the degree of the function? Choose all that apply
4 , 5 , 6 , 7 , 8 , 9
Part (a)
Decreasing means that as x increases, y decreases.
So the intervals are [tex](-8, -4), (0, 5), (9, \infty)[/tex]
Part (b)
A local minimum is where the function changes from decreasing to increasing.
So, the local minima are at [tex]x=-4, 5[/tex]
Part (c)
The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative
Part (d)
The degree is given by the number of roots (including multiplicity).
From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.
Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)
However, since the graph has the same end behavior in both directions, the degree must be even.
So, the possible answers are any even number that is at least 6
I need this answered fast pleasee
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B rents for $150 and $50 an hour. Let t = the number of hours and c = cost.
Part A Write a system of equations to represent the cost at each studio.
Part B Solve the system of equations from Part A. Explain your method.
Part C Explain what the solution to the system means in terms of where your band will rent a studio.
The descriptive answer of different part is described below.
What is Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Here, Studio A rents for $75 plus $75 an hour .
Studio B rents for $150 and $50 an hour.
Let t = the number of hours and c = cost.
Part A
Studio A: c = 75 +75·t
Studio B: c = 150 +50·t
Part B
We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.
150 +50·t = 75 +75·t, subtract 75 and 50t from both sides
150 -75 = 75t -50t, combine likes terms
75 = 25t, divide both sides by 25
3 = t
Now we know that t = 3 so we find c by substituting t with 3 in the second equation.
c = 150 +50·t
c = 150 +50·3
c = 300
The solution of the system of equations is c = 300 and t = 3
Part C:
The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.
The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.
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If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018? Be careful to treat the year 2000 as the beginning; let x be the number of years since the year 2000.
The answer is not 2,100
The population at the end of the year 2018 will be 2150.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.
The population will be calculated as the year 2000 is also considered:-
P = Total years x Increase per year
P = 19 x 50
P = 2150
Therefore the population at the end of the year 2018 will be 2150.
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Im stuck on this to could you guys explain how you do this
The required equation of a line is y = -3x- 1
Equation of a lineThe equation of a line in slope-intercept form is expressed as:
y = mx + b
where
m is the slope
b is the y-intercept
Using the coordinate point (0, -1) and (-1, 2)
Slope = 2-(-1)/-1-0
Slope = 3/-1
Slope =-3
Since the line crosses the y-axis at (0, -1), hence the value of b is -1
Determine the equation
y = mx + b
y = -3x + (-1)
y = -3x- 1
Hence the required equation of a line is y = -3x- 1
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3.8% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?
The conditional probability that the person has the disease given that the test result is positive is of 0.4750 = 47.50%.
What is Conditional Probability?
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Positive test.Event B: Has the disease.The percentages associated with a positive test is:
93.9% of 3.8%(has the disease).4.1% of 100 - 3.8 = 96.2%(does not have the disease).Hence:
[tex]P(A) = 0.939(0.038) + 0.041(0.962) = 0.075124[/tex]
The probability of both a positive test and having the disease is given by:
[tex]P(A \cap B) = 0.939(0.038) = 0.035682[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035682}{0.075124} = 0.4750[/tex]
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Evaluate the expression.
{[(30 – 60) ÷ (-30)]² – 15} ÷ (-7)
What is the value of the expression?
Answer:
22/7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
(30–60)= –30
[‐30÷(–30)]²=1
{1–15}=–14
–14÷(–7)=2
The earnings for a cashier at the local grocery store varies directly with how many hours she works. If the cashier is paid $524 for a 40 hour work week, how many hours would it take for him to make 720.50? Enter the number only.
Using proportions, it is found that it would take 55 hours for him to make $720.50.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
He is paid $524 for a 40 hour work week, hence per hour he earns?
r = 524/40 = $13.1.
The amount of hours he would need to make $720.50 is given by:
h = 720.50/13.1 = 55.
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x2 +kx+12
What are two numbers that k could be so that each expression could be factored??
Answer:
K could be 7 or 8
Step-by-step explanation:
If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)
If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)
need answers right now
A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors. What is the relative frequency of students who are not
seniors at this high school?
The relative frequency is %.
(Type an integer or decimal rounded to the nearest tenth as needed.)
The relative frequency of students who are not seniors at this high school will be 82.96%.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
P = a/b × 100
A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors.
Then the relative frequency of students who are not seniors at this high school will be
P = 998/1203 × 100
P = 0.82959 × 100
P = 82.959%
P ≈ 82.96%
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A cylindrical can has a height of 19 cm and a radius of 6 cm. The volume of the cylindrical can is decreasing at a rate of 563 cubic cm per second, with the height being held constant. What is the rate of change of the radius, in cm per second, when the radius is 6 cm?
Round your answer to the nearest hundredth.
The rate of change of radius at radius 6cm is 0.79 cm/sec.
The rate of change of a function is simply the derivative of the function with respect to the changing parameter in the function i.e. variable in the function.
So for calculating the rate of change of radius, we calculate the rate of volume change as volume is the function of radius.
As we know volume of the cylinder is given by V=πr²h
where r is the radius and h is the height of the cyclinder.
Given that rate of change of volume = 563 cm/sec
⇒ dV/dt =563 cm/sec
⇒ d(πr²h)/dt =563
taking πh outside the derivative as π and h is constant term
⇒ πh dr²/dt =563
⇒ πh (dr²/dr)(dr/dt)= 563 (applying chain rule dy/dx = (dy/du)(du/dx))
⇒ πh(2r)(dr/dt) =563
⇒dr/dt= 563/(2πhr)
given height of the cylinder h= 19cm
rate of change of radius at radius r =6cm= dr/dt= 563/(2πhr)= 563/(2*π*19*6)= 0.79 cm/sec
Therefore rate of change of radius at radius 6cm is 0.79 cm/sec.
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Need help with this please!! :)
Mark divided a basket of apples evenly into small bags. The number of bags was equal to the number of apples in each bag. Which could be the total number of apples?
A. 25 B. 27 C. 20 D. 18
There are 5 bags and each bag has 5 apples and total there are 25 apples , Option A is the correct answer.
What is a Perfect Square ?A perfect square is a number which can be written as the product of an integer with itself.
It is given that Mark divided a basket of apples evenly into small bags.
Let there be n no. of bags and therefore n number of apples in each bag
Then the total number of apples will be
n * n
n²
The value of total number of apples should be a perfect square,
In the option given only 25 is the perfect square
Therefore the equation can be made as
n² = 25
n = 5
There are 5 bags and each bag has 5 apples and total there are 25 apples.
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If anyone can help me to solve this.
Explanation:
Equation: x + 1 = 9
Solving Steps:
x + 1 = 9 (subtract both sides by 1)
x + 1 - 1 = 9 - 1 (simplify the following)
x = 8
Then check for solution:
x + 1 = 9
[insert x = 8]
8 + 1 = 9
9 = 9
As both sides are equal, the statement is true.
[tex]\large\underline{ \cal{SOLUTION:}}[/tex]
[tex] \large \bold{x + 1 = 9}[/tex]
[tex] \large \bold{x = 9 - 1}[/tex]
[tex] \large \bold{x = \red{8}}[/tex]
[tex] \: [/tex]
[tex]\large\underline{ \cal{CHECKING:}}[/tex]
Put x = 8[tex] \large{ \bold{ \underline{ \red{8} }+ 1 = 9}}[/tex]
___________________________________[tex] \large \bold{-N} \frak{unx-}[/tex]
I WILL GIVE BRAINLIEST
Which is true of dependent events?
ANSWER CHOICES:
The probability of all dependent events can be calculated using the OR formula P(A+B) =P(A) +P(B)-P(A and B) .
You can use a two-way frequency table to calculate the conditional probability of events that are dependent.
You can find the AND probability of dependent events using the formula P(A or B)= P(A) times P(B) .
The outcome of one event has no effect on the outcome of a second event.
Probability helps us to know the chances of an event occurring. The correct option is A.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Dependent events are those events in which the outcome of the first event affects the outcome of the second event. The statement that is correct about the dependent event is that the probability of all dependent events can be calculated using the "OR" formula P(A+B) =P(A) +P(B)-P(A and B).
Hence, the correct option is A.
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24. Demography A city has a population of 71,500. Ten years ago the population
was 32,500. What percent of the population 10 years ago is the population now?
Use the proportion method.
Answer:
45.5%
Step-by-step explanation:
The increase in population was 45.5%
What is the equation of the line that has a slope of 3 and passes through the point (1,-2)?
Y=3x+5
Y=3x-5
Y=3x+1
Answer:
y = 3x - 5
Step-by-step explanation:
y = mx + b
y - b = mx
-b = mx - y
b = -mx + y
b = -3(1) -2
b = -5
NEED THIS DONE ASAP!! Thank you!!
Answer:
arc BC = 75 degrees
Step-by-step explanation:
The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.
__
The angle relation is ...
1/2((8x +11) +(9x -7)) = (8x +6)
17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify
x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides
Then the measure of arc BC is ...
arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees
_____
Additional comment
We can compute the other measures just to make sure they have the desired relationship.
angle BAC = 8x+6 = 70 . . . degrees
arc FD = 9x -7 = 65 . . . degrees
Since 70 = (65 +75)/2, these measures work out as expected.
The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.
A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000.
For which year would this model most likely be sufficient to make a prediction of the population?
1950
2005
2025
2050
Answer:
B: 2005
Step-by-step explanation:
Worked on edge 2022
hey
can someone solve this 4 me
Answer:
∠a = 50°
∠b = 130°
∠c = 130°
Explanation:
Following Vertical Angles Theorem:
∠(2a - 50) = ∠a2a - 50 = a2a - a = 50a = 50A straight line has 180° angle measure, ∠c and ∠a lies on a straight line
∠c + ∠a = 180°∠c + 50° = 180°∠c = 180° - 50°∠c = 130°Also, following vertical angle theorem:
∠b = ∠c∠b = 130°PLEASE HELP IF YOU DO YOU BELIEVE IN JESUS THANK YOU SO MUCH
These steps outlined were used to construct the perpendicular bisector of
Answer: ZT = ZS
Step-by-step explanation: ZT = ZS must be true under all circumstances. This is because a perpendicular bisector of a line cuts the line into two equal pieces. It is the midpoint of the entire line. Thus, ZT is the same as ZS since the line is equally cut in half and thus are the same.
