Answer:
35%
Step-by-step explanation:
$28 less.
28 is 35% of 80. (28/80 = 0.35 which is 35%)
the percent markdown is 35%
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
>Vertex
(5/2, 11/2)
(-5/2, 11/2)
(5, -7)
Given:
The quadratic equation is
[tex]-2x^2-y+10x-7=0[/tex]
To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
We have,
[tex]-2x^2-y+10x-7=0[/tex]
It can be written as
[tex]-2x^2+10x-7=y[/tex]
[tex]y=-2x^2+10x-7[/tex] ...(i)
Here, [tex]a=-2,b=10,c=-7[/tex].
[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]
Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get
[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]
[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]
[tex]y=\dfrac{-50}{4}+25-7[/tex]
[tex]y=\dfrac{-25}{2}+18[/tex]
On further simplification, we get
[tex]y=\dfrac{-25+36}{2}[/tex]
[tex]y=\dfrac{11}{2}[/tex]
So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].
Therefore, the correct option is A.
Whoever gets this right gets brainliest note ( ITS 4 FUN ! NOT A GRADE) 2+4x7=?
What is the value of x in 5x = 35? *
Answer:
7
Step-by-step explanation:
Triangle RST reflectid over the x-and then translated 4 unita to the right What are the coordinates of the final image in its new position?
Answer:
R" (0,3)
S" (1,1)
T" (4,2)
Step-by-step explanation:
The reflection of the point (x, y) across the x-axis is the point (x, -y).
Translate right 4- add 4 to the x coordinate
R ( -4, -3 ) R' ( -4 , 3) R" ( 0 , 3)
S ( -3, -1) S' (-3 , 1) S" ( 1 , 1)
T ( 0 , -2) T' (0, 2) T" ( 4 , 2)
The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages
Answer:
Elder brother: 25
Younger brother: 5
Step-by-step explanation:
38 - (4+4)= 30
Now trial all square numbers
e.g 2 + 4 = 6 (does not work)
5 + (5x5)= 30
PLZ HELP
What is the x-intercept of the graph y = 2x - 14?
-14
-7
0
7
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal.) The results were as follows:
Duration of Exposure
< 1 1 to < 5 >= 5
Diseased 12 10 18
Sensitized 14 18 13
Normal 66 142 210
Required:
a. Compute the expected frequencies of diseased workers.
b. Compute the expected frequencies of sensitized workers.
c. How many degrees of freedom are there?
Answer:
1. Has been answered below
2. Degree of freedom is 4
Step-by-step explanation:
Row 1: 12+10+18 = 40
Row 2: 14+18+13 = 45
Row 3: 66+142+210 = 418
Grand total = 40+45+418 = 503
Column 1 : 12+14+66 = 92
Column 2: 10+18+142 = 170
Column 3: 18+13+210 = 241
Total = 92+170+241 = 503
Expected frequencies of diseased workers
92x40/503 = 7.316
170x40/503 = 13.52
241 x 40/503 = 19.165
Expected frequencies of sensitized workers
92x45/503 = 8.23
170x45/503 = 15.20
241x 45/503 = 21.56
2.
Degree of freedom
= (Number of row -1)(number of column - 1)
= 3-1 * 3-1
= 2x2
= 4
a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually. to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 15700 dollars?
A = P(1+r/n)^nt
Answer:
t=13.28382 ≈ 13.3 years
It takes 13.3 years to amount $15700 from the principal $6500.
Given that, a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = A = P(1+r/n)^nt
Now, 15700 =6500(1+6.75/2×100)^2t
⇒ 15700/6500=(1+6.75/200)^2t
⇒ 15700/6500=1.03375^2t
⇒ 2.415=1.03375^2t
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
t=ln(2.415)/2ln(1.03375)
Decimal Form:
t=13.28141707
≈ 13.3 years
Therefore, it takes 13.3 years to amount $15700 from the principal $6500.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
Complete please! All of them
Answer: #1: 15/12 aka 1 3/12 #2: < #3 11/9 aka 9 2/11
Step-by-step explanation: Hope it helps ya
Can somebody pls help me :<
Answer:
True.
We can see that the line goes through (0, 0), however, the line is not dotted, therefore that point is included. (0,0) also coincides with the other inequality, which means that (0, 0) is a solution.
Here are the boiling points of certain elements in degree Celsius:
•Argon: -185.8
•Chlorine: -34
•Fluorine: -252.87
•Krypton -153.2
List the elements from least to greatest boiling points.
Answer:
Fluorine
Argon
Krypton
Chlorine
Write the left side of the identity in terms of sine and cosine. Rewrite the numerator and denominator separately. (Do not simplify.) Simplify the fraction from the previous step such that both the fractions have the common denominator The expression from the previous step then simplifies to using what? A. Addition and a Reciprocal Identity B. Addition and a Pythagorean Identity
Answer:
[tex](a)[/tex] [tex]\frac{2}{cos\theta}/\frac{1}{sin\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
[tex](b)[/tex] [tex]\frac{2sin\theta}{cos\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
(c) Addition and Quotient identity
Step-by-step explanation:
Given
[tex]\frac{2sec\theta}{csc\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex] --- The expression missing from the question
Solving (a): Write the left hand side in terms of sin and cosine
In trigonometry:
[tex]sec\theta = \frac{1}{cos\theta}[/tex]
and
[tex]csc\theta = \frac{1}{sin\theta}[/tex]
So, the expression becomes:
[tex]\frac{2 * \frac{1}{cos\theta}}{\frac{1}{sin\theta}} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
[tex]\frac{\frac{2}{cos\theta}}{\frac{1}{sin\theta}} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
Rewrite as:
[tex]\frac{2}{cos\theta}/\frac{1}{sin\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
Solving (b): Simplify
[tex]\frac{2}{cos\theta}/\frac{1}{sin\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
Change / to *
[tex]\frac{2}{cos\theta}*\frac{sin\theta}{1} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
[tex]\frac{2sin\theta}{cos\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
Solving (c): The property used
To do this, we need to further simplify
[tex]\frac{2sin\theta}{cos\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]
Take LCM
[tex]\frac{2sin\theta+ 4sin\theta}{cos\theta} =6tan\theta[/tex]
Add the numerator
[tex]\frac{6sin\theta}{cos\theta} =6tan\theta[/tex]
Apply quotient identity
[tex]\frac{sin\theta}{cos\theta} = tan\theta[/tex]
This gives
[tex]\frac{6sin\theta}{cos\theta} = 6tan\theta[/tex]
Hence, the properties applied are:
Addition and Quotient identity
i have been struggling with this question for 30mins. if you answer it can you please show work? thank you
Answer:
a)22
Step-by-step explanation:
10 points!!!!!!! Plssssss helpppppp
Need help please thanks
Answer:
6.
Just count the x's on the graph...
what is an outlier number?
Answer:
an outlier is a number that is at least 2 standard deviations away from the mean for example in the set 1,1,1,1,1,1,1,1,1,7,7,7 would be the outlier
Step-by-step explanation:
watashi wa sore ga tadashī koto o negatte imasu
arigatozaimasu!!
Step-by-step explanation:
i have noooo idea but ayyeee
Anastasia went shopping for birthday gifts and bought three of the same board game. She also spent $9.75 on birthday cards. Anastasia spent a total of $69.60. What was the price of each board game?
Paul asked four friends how many hours of tv they watch and their grade on a recent test
Answer: D
Step-by-step explanation: The answer wouldn't be A because all the information is there, B is out because the question tells you there is a correlation between the two, and C is out because it has a more negative affect than positive.
How many time does 217.39 go into 5000
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
How can I solve the following systems using Gaussian elimination method, w+2x-y=4, x-y=3 , w+2x-2y=7 2u+4v+w+7x=7?
write an equation of the line that passes through the given point and has the given slope (6,4) slope -3/4
Answer:
Its slope is
m = -1/(1/2) = -2
y = -2x + b
Get b from the given point.
-4 = -2(6) + b
b = 8
y = -2x + 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given slope (m) = -3/4
and x1 = 6
and y1 = 4
Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)
-3/4 = (4-y1)/(6-0)
-3/4 = (4-y1)/6
-(3/4)*6 = 4 - y1
-18/4 = 4 - y1
y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2
therefore the correct answer should be:
Equation of the line:
y = -3/4x + 8 1/2
What is the area of the triangle in the diagram?
theres no diagram given
2.
Select the correct answer.
The national apple growers organization recently released its first crop of a new apple variety. It gathered data on the weight of the new apples.
It found a population mean of 4.85 ounces and a standard deviation of 0.92. Each sample size was 500 apples. By the central limit theorem,
which interval do 99.7% of the sample means fall within?
OA.
4.81 and 4.89
OB.
4.73 and 4.97
Ос. .
4.84 and 4.86
OD
4.77 and 4.93
Answer:
B. 4.73 and 4.97
Step-by-step explanation:
To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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.
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.
Standard deviation of 0.92, sample of 500:
This means that [tex]\sigma = 0.92, n = 500, s = \frac{0.92}{\sqrt{500}} = 0.04[/tex]
By the central limit theorem, which interval do 99.7% of the sample means fall within?
Within 3 standard deviations of the mean. So
4.85 - 3*0.04 = 4.85 - 0.12 = 4.73
4.85 + 3*0.04 = 4.85 + 0.12 = 4.97
So, option B.
Answer:
4.73 and 4.97
Please give me brainliest, I really need it.
In the elimination method would you add or subtract the following system? (Elimi
2x+5y=-2
-2x-7y=-6
(1 Point)
Add
Subtract
(Worth 10 points)
Answer:
You will add!
Step-by-step explanation:
Words words words
Which expressions can be added to find the volume of the solid figure?
Select all that apply.
Answer:
Option A and D will be your answer
Step-by-step explanation:
hope it helps
solve the inequalities and graph the solution 7d+8>29
The answer is d>3
I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,
Solve this before 6:00 and i will give brainliest
Answer:
4
Step-by-step explanation:
Use PEMDAS. Use a calulator to solve 3 and 1/3 times 1.9+19.5 divided by 4 and 1/2 and after you solve that solve 62/75- 0.16. Divided the first answer by the second. Now move to 3.5+4 and 2/3+ 2 and 2/15 then solve. Next solve 0.5 times ( 1 and 1/20+ 4.1) and with the answer you got from the equation above divided that by the answer just solved. Now divided the number on the left with the number on the right and you should get 4.
Solve the following question:
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3.
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
[hint: X~Geo(0.3) a) P(X=__), b) P(X<__)]
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
b*) Find P(G=20) correct to 3 significant figures.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Help Me Please.............................(7)
Answer:
Step-by-step explanation:
The first step contains the error.
2x - 10 = 22 Add 10 to both sides
+ 10 +10
2x = 32 Divide by 10
2x/2 = 32/2
x = 16
Marie necklace is 30 inches long. She decided to make it 6 inches shorter. How many feet long is the neck less now?
Answer:
24 inches
Step-by-step explanation:
Answer:
2 feet long
Step-by-step explanation:
12 inches in a foot
30-6=24
24 inches=2 feet