Answer:
In the quadratic function "y = -x^2q - 2x + 10", the term "-x^2q" is the coefficient of the quadratic term and is represented by the letter "A". The term "-2x" is the coefficient of the linear term and is represented by the letter "B". The constant term "10" is the coefficient of the constant term and is represented by the letter "C".
The axis of symmetry of the graph of this quadratic function is the line that divides the graph into two congruent halves. It can be found by using the formula "x = -B / 2A". In this case, the axis of symmetry is "x = -(-2) / 2(-x^2q) = x^2q / x".
So in the function "y = -x^2q - 2x + 10", the coefficient of the quadratic term is "A = -x^2q", the coefficient of the linear term is "B = -2x", the coefficient of the constant term is "C = 10", and the axis of symmetry is "x = x^2q / x".
Write the equation of a circle with a center at
(2, -9) and a radius of 7
Helpppp
Answer:
[tex]x^2+y^2+14y+36=0[/tex]
Step-by-step explanation:
Given that,
Center = (2,-9)
Radius of the circle, r = 7
We need to find the equation of a circle with a center at (2, -9) and a radius of 7. It can be given by :
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Put h = 2, k = -9 and r = 7 So,
[tex](x-2)^2+(y-(-9))^2=7^2\\\\x^2+4-4x+y^2+81+18y=49\\\\x^2+y^2+14y+85-49=0\\\\x^2+y^2+14y+36=0[/tex]
Hence, this is the required solution.
[tex] \: \: \: \: \: \rm \: 25x {}^{2} = - 25 + 50x[/tex]
Find possible values of x
Answer:
[tex]\boxed{\boxed{\sf x=1}}[/tex]
Step-by-step explanation:
[tex]\sf 25x^2=-25+50x[/tex]
Simplify both sides of the equation:-
[tex]\sf 25x^2-50x=-25[/tex]
Subtract 50x-25 from both sides:-
[tex]\sf 25x^2-(50x-25)=50x-25-(50x-25)[/tex]
[tex]\sf 25x^2-50x+25=0[/tex]
Factor left side of equation:-
[tex]\sf 25(x-1)(x-1)=0[/tex]
Set factors equal to 0:-
[tex]\sf x-1=0\: or\: x-1=0[/tex]
[tex]\sf x=1[/tex]
___________________
Hope this helps!
Have a great day!
ccording to the Australian Bureau of Agricultural and Resource Economics, Queensland egg farmers produce millions of eggs every year. Suppose egg production per year in Queensland is normally distributed, with a standard deviation of 83 million eggs. If during only 3% of the years Queensland egg farmers produce more than 2,655 million eggs, what is the mean egg production by Queensland farmers (in million)?
Round your answer to 1 decimal place.
The standard deviation of 83 million eggs and 2,655 millions eggs represent that of 3% of the farmers, of the production that is normally distributed, indicates that the mean egg production by Queensland farmers is about 2498.1 million eggs.
What is a normal distribution?A normal distribution is a probability distribution such that the values of the distribution are symmetrical around the mean value of the distribution.
The standard deviation, σ = 83 million eggs
The percentage of farmers that produce more than 2,655 million eggs, x = 3%
The formula for the z-score is; [tex]Z = \dfrac{x - \mu}{\sigma}[/tex]
Therefore, we get;
[tex]Z = \dfrac{2655 - \mu}{83}[/tex]
From the z-score table for P(Z > Z₁), where Z₁ is the z-score corresponding to Φ(1 - 0.03) = Φ(0.97)
The z-value corresponding to Φ(0.97) is about 1.89
Therefore;
[tex]Z = \dfrac{2655 - \mu}{83} \approx 1.89[/tex]
83 × 1.89 ≈ 2655 - μ
μ ≈ 2655 - 83 × 1.89 = 2498.1
The mean egg production by Queensland farmers is about 2498.1 million eggs per year
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Find the measures of the unknown angles in the triangle shown. Round answers to the nearest degree.
Answer:
y is 40.54 degrees
x is 49.46 degrees
Step-by-step explanation:
Recall that Pythagoras theorem states that
a^2 + b ^2 = c^2
where a and b are the opposite and adjacent sides of a right angled triangle and c is the hypotenuse side
Using the notation SOH CAH TOA
Sin y = 13/20 where 13 is the length of the opposite side and 20 is that of the hypotenuse side.
y = sin^-1 0.65
y = 40.54 degrees
Considering angle x,
Cos x = 13/20 where 13 is the adjacent side and 20 is the hypotenuse side
x = Cos^-1 0.65
= 49.46 degrees
Answer:
x=49
y=41
Step-by-step explanation:
Solve quadratic equation by square roots method 2x^2-18=0
Answer:
x = 3 and x = -3 (aka. x = ±3)
Step-by-step explanation:
2x² - 18 = 0
x² - 9 = 0
x² = 9
x = ±3
Therefore, x = 3 and x = -3
Suppose that 12 inches of wire costs 60 cents.
At the same rate, how much (in cents) will 9 inches of wire cost?
9. A vendor is going to pack okra in bundles. What is the least number of okra that could be sold
in bundles of 3 and 5?
A. 10 bundles
B. 12 bundles C. 15 bundles D. 18 bundles
Answer:
C. 15 bundles
Step-by-step explanation:
In this scenario, the okra seller intends selling his products in bundles of 3 and 5. This simply means that each bundle would either contain 3 okra or 5 okra.
Hence, to find the least number of okra that could be sold in these bundles, we would find the lowest common multiple (LCM) of 3 and 5.
LCM = 3 * 5
LCM = 15
Therefore, 15 is least number that okra can be packed in bundles of 3 and 5 because it's the lowest number that could be divided by both numbers at a time.
As part of your retirement planning, you purchase an annuity that pays 4 % annual interest compounded quarterly
If you make quarterly payments of $600 how much will you have saved in 5
years?
instead, if you make quarterly payments of $300, how much will you have saved in 10 years
Answer:
This Might Be Helpful To You
Step-by-step explanation:
It is a good idea to try to save up money to buy large items or find 0% interest deals so
you are not paying interest. However, this is not always possible, especially when buying
a house or car. That is when it is important to understand how much interest you will be
charged on your loan.
Rahul and his children went into a restaurant that sells hamburgers for $8 each and tacos for $4 each. Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and
tacos for $4 each.
Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.
Let x represents the number of hamburgers purchased and y represents the number of tacos purchased,
x+y≥11...(1)
8x+4y=80..(2)
8(11-y)+4y=80
88-8y+4y=80
88-4y=80
8=4y
y≥2
Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.
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HEYYYY Please solve the following problem in the photo blow, also please show your work
Answer:
35.4ft
Step-by-step explanation:
Please help
need help
Answer:
The answer is B
Step-by-step explanation:
I'm not 100% sure but since its translated 3 units left it should be y=f(x-3)
Answer:
a. y = f(x+3)
Step-by-step explanation:
Replacing x in a function with x-h moves the graph h units to the right. Here, the graph is moved 3 units to the left, so the value of h must be -3.
f(x -(-3)) = f(x+3)
The red graph is described by ...
y = f(x+3)
(PLEASE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT NO LINKS PLEASE)
Answer:
1. Mary's mother gave her ten dollars to spend at the Market. Mary then spends two and a half dollars on her favorite candy. Mary wants to know how much money she has left.
2. x represents the amount of money Mary has remaining.
3. x + 2 1/2 = 10
(sub tract 2 1/2 from each side)
x = 7 1/2
Step-by-step explanation:
(HELP ASAP!)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
In baseball, each time a player attempts to hit the ball, it is recorded.
The ratio of hits compared to total attempts is their batting average.
Each player on the team wants to have the highest batting average to help their team the most.
For the season so far,
Jana has hit the ball 7 times out of 10 attempts.
Tasha has hit the ball 10 times out of 16 attempts.
To find the ratio of batting average:
We must find the same number of attempts.
So,
Jana has ratio 7/10.
So, 56 /80 = 0.7
Tasha has ratio 10/16.
So, 50 / 80 = 0.625
Therefore, Jana has the highest batting average.
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The parabola y = x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3. What is the equation of the new parabola?
Answer:
Y=-x^2+4/3 (not really sure though)
HELPPPP
When y=4x-6 find y if x=1/2
Answer: y = -4
Step-by-step explanation:
y = 4x-6
y = 4(1/2)-6
y = 2-6
y = -4
Answer:
Step-by-step explanation:
Y = 4x - 6
Putting value of x = 1/2 in the equation
Y = 4(1/2) - 6
= 2 - 6
= - 4
someone please help
Casey and Lance run laps to train for basketball. Casey runs 2 laps in the time it takes for Lance to run 9 laps.
If Casey runs 16 laps, how many laps does Lance run in the same amount of time?
Answer:
72 laps
Step-by-step explanation:
2/16=8
8x9=72
Can someone please help me?? T^T
What is the slope of each line?
Answer:
Graph 1: The slope is -1/1 or -1
Graph 2: The slope is -1/1 or -1
Step-by-step explanation:
I hope this helps!
what does x equal????????????????//
Answer:
i don't know what does x equal?
its x=1/6
Step-by-step explanation:
do you need the step by step? i don't know, I'm gonna give it to you anyways.
x+2/3 =5/6
x+2/3-2/3 =5/6 - 2/3
then just subract the number and bam!
x=1/6
Step-by-step explanation:
We have ,
> 3/4= x/20
> x = 3/4 × 20
> x = 15
Solution 2 :-
> x + 2 / 3 = 5/6
> x + 2 = 5/6 × 3
> x + 2 = 5/2 = 2.5
> x = 2.5 - 2
> x = 0.5
A hill rises from 100 m to 175 m over
a horizontal distance of 300 m. What
is the percent slope of the hill?
20 pts
Answer:
25%
Step-by-step explanation:
slope = (175-100)/300 = 75/300 = ¼
the percent slope = ¼×100%= 25%
Which event is LEAST LIKELY to occur?
A. Event A
B. Event B
C. Event C
D. Event D
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Express (x-12)^2(x−12)
2
as a trinomial in standard form.
The trinomial (x - 12)² in standard form is x² - 24x + 144
How to evaluate the trinomial in standard formFrom the question, we have the following parameters that can be used in our computation:
(x-12)^2
Express properly
So, we have the following representation
(x - 12)²
Expand the expression
This gives
(x - 12)² = (x - 12) * (x - 12)
Open the brackets
This gives
(x - 12)² = x² - 12x - 12x + 144
Evaluate the like terms
(x - 12)² = x² - 24x + 144
Hence, the trinomial is x² - 24x + 144
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In a recent sample of 84 used car sales costs, the sample mean was $6,425 with a standard deviation of $3,156. Assume the underlying distribution is approximately normal.a. Which distribution should you use for this problem
Answer:
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample mean was $6,425 with a standard deviation of $3,156
This means that [tex]\mu = 6425, \sigma = 3156[/tex]
Sample of 84:
This means that [tex]n = 84, s = \frac{3156}{\sqrt{84}} = 344.35[/tex]
a. Which distribution should you use for this problem?
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
Which pair of ratios is proportional?
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation:
The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Here,
A) 6/21 and 2/42
2/7 and 1/21
So, the given ratios are not in proportion.
B. 25/100 and 50/150
1/4 and 1/3
So, the given ratios are not in proportion.
C. 18/24 and 6/12
3/4 and 1/2
So, the given ratios are not in proportion.
D. 7/14 and 20/40
1/2 and 1/2
The given ratios are in proportion.
Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which pair of ratios is proportional?
A. 6/21 and 2/42
B. 25/100 and 50/150
C. 18/24 and 6/12
D. 7/14 and 20/40
use the order of operations to evaluate the expression 4×(3/4 - 1/2) +3×6
Answer:
19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4 × (3/4 - 1/2) + 3 × 6
Step 2: Evaluate
(Parenthesis) Subtract: 4 × 1/4 + 3 × 6Multiply: 1 + 3 × 6Multiply: 1 + 18Add: 19Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?
Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.
cos θ = Opposite side / Adjacent side
cos θ = 14 / 22
cos θ = 0.6363
θ = cos^-1 (0.6363)
θ ≈ 45.9°
Hi everyone! I got another problem I need help on over probability. No links or you will be reported!!!
Please help me solve this. Where I'm going wrong and an explanation would be very helpful as well.
problem: The data in the following table shows the outcomes of guilty and not-gulity pleas in 1055 criminal court cases.
Sent to prison:
Guilty plea: 399
Not-gulity plea: 59
Not sent to prison:
Guilty plea: 567
Not-gulity plea: 29
A. What is the probability that a randomly selected defendant either pled guilty or was not sent to prison? (round to three decimal places as needed.)
Answer:
0.944
Step-by-step explanation:
First of all, are you sure the datas are alright? We have a count of 1054 defendants while adding up all these numbers.
Assuming the datas are true, out of the 1054 defendants:
- 399 are sent to prison and guilty
- 567+29 = 596 aren't sent to prison.
Since we are looking for the probability that a randomly selected defendant either pled guilty or was not sent in prison, it means we have
[tex] \frac{399+596}{1054} = \frac{995}{1054} = 0.944[/tex]
(rounded to three decimal places).
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Both of you are correct because using either way can solve the equation for the value of x.
How to solve for x ?In the case of solving for x in 2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.
Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :
Multiplying :
2/5 x = 14
5 / 2 x 2 / 5 x = 14 x 5 / 2
x = 35
Dividing :
2/5 x = 14
2 / 5 x / 2 / 5 = 14 / 2 / 5
x = 35
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One third of the students at max middle school play a musical instrument. If 152 students play an instrument. How many students are at the school
Answer:
456 students attend Max Middle School.
Step-by-step explanation:
In this problem, it states 152 students play an instrument. It then says, 1/3 of the students play an instrument within the school. So, what you need to do to find the total number of students is multiply 152 times 3.
152·3=456
As a result, here is your product or your answer.
Mark bought five packs of markers for $12.25. What is the cost of a pack of markers, in dollars, if all the packs cost the same?
Answer:
The cost of a single pack would be $2.45.
Step-by-step explanation:
If a 5 pack costs 12.25 then to find the cost of 1 packet we need to divide.
We would divide by 5.
$12.25/5=$2.45