Find the range of the following piecewise function. [27,3) (-22,3] (27,3] [-22,3)
Answer:
The answer is "(27,3]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to f(-5) = (-5)^2 + 2 = 25 +2 =27\\\\\to f(7)= 7-4 = 3\\\\answer \ is = ( 27, 3]\[/tex]
Answer
(27,3]
Step-by-step explanation:
Correct In HW
ions
How many solutions does this equation have?
1 solution
x + 3 + x + 3 = - (x + 4) + (3x - 2)
No solution
Infinite solutions
Explain your thinking
Answer:
I am not certain but I think it's no solution but how the number of X's their is and won't have it's value, it's by themselves
the question is the picture
A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If the population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01
Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.
Given: [tex]\sigma=\$2,050[/tex]
n= 256
Then, the standard error of the mean:-
[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]
Hence, option a. is correct.
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the line tangent to the graph of f at x=−1 ?
Answer:
The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].
Step-by-step explanation:
From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - Intercept, dimensionless.
The slope of the tangent line at [tex]x = -1[/tex] is:
[tex]f'(x) = -3\cdot x +4[/tex] (2)
[tex]f'(-1) = -3\cdot (-1) +4[/tex]
[tex]f'(-1) = 7[/tex]
If we know that [tex]m = 7[/tex], [tex]x = -1[/tex] and [tex]y = 6[/tex], then the intercept of the equation of the line is:
[tex]b = y-m\cdot x[/tex]
[tex]b = 6-(7)\cdot (-1)[/tex]
[tex]b = 13[/tex]
The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].
if 'HOPE' is called 3, ' GOVERNMENT' is called 9, ' PEACEFUL' is called 7, what would HAPPINESS 'be called??
Answer:
8
Step-by-step explanation:
Identifying the Pattern:
We are told that 'HOPE' is called 3
we can see that there are 4 characters in the word HOPE
So, we can see that the number is one less than the number of characters in the given word
Let's see if the observation we made still holds for the other Words:
We are also told that 'GOVERNMENT' is called 9
the number of characters = 10
Here, we once again notice that the code number is one less than the number of characters in our word
We are Given that 'PEACEFUL' is called 7
the number of characters = 8
Once again, our observation holds true
Hence, our observation holds true for all the words
Therefore, we can say with certainty that the pattern is:
code number = (number of characters of the word) - 1
Code number for 'HAPPINESS':
from the above, we know that:
code number = (number of characters of the word) - 1
we can see that 'HAPPINESS' has 9 words, plugging that value:
code number = 9 - 1
code number for 'HAPPINESS' = 8
Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99
Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = [tex]\frac{1-0.9}{2}[/tex] = 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = [tex]\frac{1-0.95}{2}[/tex] = 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = [tex]\frac{1-0.98}{2}[/tex] = 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = [tex]\frac{1-0.99}{2}[/tex] = 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977
Find the angle measures.
Justify your responses.
Given: a ||b, m∠6=128°
Find: m∠1, m∠3
Answer:
Step-by-step explanation:
It's given that a║b and m∠6 = 128°
Since, ∠1 and ∠3 are the consecutive interior angles,
m∠6 + m∠1 = 180°
128° + m∠1 = 180°
m∠1 = 180° - 128°
= 52°
Since, ∠6 and ∠3 are the corresponding angles,
Therefore, ∠6 ≅ ∠3
m∠3=52°
simplify 32 L : 56L with whole numerator and denominator
Answer:
4L/7L
Step-by-step explanation:
32:56 is the same as 32/56
They can be divided by a maximum of 8
32/8=4
56/4=7
4/7
Find three consecutive odd integers such that the sum of the first and the third is 34,
HURRY PLEASE
Answer:
15,17,19
Step-by-step explanation:
assume the first number is X which means the third number will be X+4 so X+ X+4=34
solve for X which will be 15
thus the numbers are 15,17 and 19
Jose D is looking for a skateboard. He sees one that costs $148. The owner is offering him a 20% discount.. What is the price of the skateboard after the discount and a 7% sales tax?
Answer:
110.112
Step-by-step explanation:
Algebra!!!
3 Questions Only take if you know ALL Answers
PLZZZ QUICK
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!
Find the deposit required to accumulate $7700 after investing 3 years in an account that pays an APR of 5% compounded quarterly. How much is earned in interest?
Answer:
The deposit required is $6633.62 and the interest earned is $366.38
Step-by-step explanation:
Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.
To find the principal P, we solve the previous equation for P as follows:
[tex]{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}[/tex]
Substituting:
[tex]{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}[/tex]
[tex]{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}[/tex]
P=$6633.62
The interest earned is:
I = A - P = $7700 - $6633.62 = $366.38
The deposit required is $6633.62 and the interest earned is $366.38
Example 4: In May 2006, Commonwealth Edison Company supplied electricity to residences for a
monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr
supplied in the month, and $0.06208 per kWhr for all usage over 400 kWhr in the month. (a) What is the
charge for using 300 kWhr in a month? (b) What is the charge for using 700 kWhr in a month? (c) If Cis
the monthly charge for x kWhr, develop a model relating the monthly charge and kilowatt-hours used.
That is, express C as a function of x.
Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr
Step-by-step explanation: I took this test before so I hope this helps gl on the test
a) The charge for using 300 kWhr in a month is $ 32.41
b) The charge for using 700 kWhr in a month is $ 59.30
c) The rule for computing C is
C ( x ) = { 7.58 + 0.08275x if 0 ≤ x ≤ 400
15.848 + 0.06208x if x > 400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The monthly charge = $ 7.58
The monthly charge for per kWhr = $ 0.08275
The monthly charge per kWhr over 400 kWhr = $ 0.06208
So ,
The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x
The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
Now ,
a)
The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300
So ,
The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x
The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300
= 7.58 + 24.825
= $ 32.405
Therefore , The monthly charge for 300 kWhr is $ 32.41
b)
The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700
The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
The monthly charge for 700 kWhr =
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
Substituting the value for x as 700 , we get
= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )
= 40.68 + 18.624
= $ 59.304
Therefore , The monthly charge for 700 kWhr is $ 59.304
c)
Let x represent the number of kWhr used and C be the monthly charge for x kWhr.
The model can be split into 2 parts of condition , where
For , 0 ≤ x ≤ 400
The function is 7.58 + 0.08275x
For , x > 400
The function is 15.848 + 0.06208x
Therefore ,
The rule for computing C is
C ( x ) = { 7.58 + 0.08275x if 0 ≤ x ≤ 400
15.848 + 0.06208x if x > 400
Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304
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I will mark Brainliest What is the length of AB
Why is the distributive property important in solving equations?
Answer:
it helps simplify difficult problems . it breaks down expressions into the difference or the sum
of two numbers.
Devra soled the
inequality, and she says that x= -10 is a solution
Lavan says that a negative value of r does not make
sense in the context of the problem. He says that
x=1 is a solution Who is correct? Explain
Answer:
What’s the problem? If you could attach the problem we can help u out!
Step-by-step explanation:
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
The answer is 0.7%
Hope this helped!
Answer:
0.6%
Step-by-step explanation:
Percentage = 24/4000 *100
=0.6%
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
What compound inequality describes the graph shown below?
PLEASE ANSWER ASAP Find the slope of the line
Answer:
4
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex]. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.
Slope=[tex]\frac{rise}{run}=\frac{4}{1}=4[/tex]
The world's largest fruitcake was made by Dr.Fabrizio Sepe of Italy.It was 4,353kg.If each serving size was 200 grams.How many people could the fruitcake serve?
Answer:
i believe your answer would be 21,765
Step-by-step explanation:
since there are 1000 grams in a kilogram the equation would be 4353÷.200
Please help, this chapter was on derivatives...
================================================
Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
-----------
Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
-----------
Side note: The information t = 40 is never used. It's just extra info.
please help me ig :/
Answer:
either A&C of B&C
Step-by-step explanation:
why i think that is because perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°). and both A&C of B&C are (90°).
What is the equation of the line that passes through the points (3,6) and (-4,-8)
Hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
( -8 - 6 ) / ( -4 - 3) = -14 /-7 = 2
slope is 2
now : we have : 2 ( 3) +... = 6
6 +0 = 6
equation of line is : y = 2x
12. Write the EQUATION for 125 is what percent of 200.
A 125 = p x 200
B 125 = p/200
C 125/p = 200
D 125 = 200/2
Answer:
Step-by-step explanation:
125 =200p
125/p=200
So the answer is option D
The correct equation for 125 is what percent of 200 is:
C (125/p = 200).
To write the equation for 125 is what percent of 200, follow these steps:
Step 1: Identify the unknown value.
In this case, looking for the percent, which can represent as p.
Step 2: Set up the equation.
To express the relationship between 125 and 200 as a percent, use the equation: 125 = p/100 * 200.
Step 3: Simplify the equation.
To simplify, divide both sides of the equation by 200 to isolate p:
125/200 = p/100
Step 4: Simplify further.
To simplify the left side, divide both the numerator and denominator by 25:
5/8 = p/100
Step 5: Rewrite the equation.
Finally, rewrite the equation as:
125/p = 200
Therefore, the correct equation for 125 is what percent of 200 is:
C (125/p = 200).
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answer fast!!!
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 32% of the seats in the theater. How many 6th graders went on the trip?
Answer:
992
Step-by-step explanation:
Answer:
38%
Step-by-step explanation:
1178 / 3100 = 0.38
38%
Harry earns$12 20 per hour Monday to Friday if he works on a Sunday he owns 1.75 times hourly rate how much will Harry earn if he works for 8 hours on a Sunday
Answer:
he will make 170.80 that day
Step-by-step explanation:
12.20*1.75*8
Answer:
good question................
Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all variable expressions represent positive real numbers.
[tex] \frac{1}{3} log_{5}(p) + log_{5}(p^{2} - 25 ) - log_{5}(p - 5) [/tex]
Thanks in advance.
Answer:
log₅(p)¹/³(p+5)Step-by-step explanation:
1/3log₅(p) + log₅(p²-25) - log₅(p-5) = 1/3log₅(p) + log₅(p+5)(p-5) - log₅(p-5) =1/3log₅(p) + log₅(p+5) + log₅(p-5) - log₅(p-5) =1/3log₅p + log₅(p+5) =log₅(p)¹/³(p+5)Answer: The answer is log₅(p)¹/³(p+5).
Step-by-step explanation:
hvfygcicgdigcigcicticigcdbgvbug
Answer:
This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.
Step-by-step explanation: