Answer:
x > 1/2
Step-by-step explanation:
A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the
reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the
positive y axis and its vertex at the origin.
Answer:
y = [tex]\frac{x^2}{20}[/tex]
The focus of the solar oven's reflector is (0,a)
Step-by-step explanation:
The missing figure( i.e diagram) from the question is attached below:
Now ; given that :
The focus of the sun's rays is at a point L = 5 inches away from the vertex of the reflector. Also the distance of the parabolic curve be a= L = 5
So the equation for a cross section of the oven's reflector with its focus on the
positive y axis and its vertex at the origin is expressed as:
x² = 4 L y
x² = 4 (5) y
x² = 20 y
y = [tex]\frac{x^2}{20}[/tex]
The focus of the solar oven's reflector is (0,a)
If you charge $2,000 on a credit card today, how much will the
balance be in seven years (assuming no additional fees) if the
credit card has 14.99% APR that is compounded monthly?
A = P(1 + )
Answer:
$5,674.30
Step-by-step explanation:
Use the Compound Amount formula:
A = P(1 + r/n)^(n*t), where r = APR as a decimal fraction = 0.1499
and n = 12 (compounded monthly).
Then A = $2,000(1 + 0.1499/12) )^(7*12)
= $2,000(1 + 0.0125)^84
= $2,000(1.0125)^84 = $2,000(2.837) = $5,674.30
Rewrite the function f(x)=7 (1/2)^3x using the properties of exponents.
The function [tex]\(f(x) = 7 \cdot 2^{-3x}\)[/tex] is a rewritten form using exponent properties.
To rewrite the function [tex]\( f(x) = 7 \left(\frac{1}{2}\right)^{3x} \) using the properties of exponents, we can first rewrite \( \frac{1}{2} \) as \( 2^{-1} \). Then, we can apply the property \( (a^m)^n = a^{mn} \)[/tex] to simplify the expression. Here's how it goes:
[tex]\[ f(x) = 7 \left(\frac{1}{2}\right)^{3x} \][/tex]
[tex]\[ = 7 \left(2^{-1}\right)^{3x} \][/tex]
[tex]\[ = 7 \cdot 2^{-3x} \][/tex]
So, [tex]\( f(x) = 7 \cdot 2^{-3x} \)[/tex] is the rewritten form of the function using the properties of exponents.
) Graph the image of U(-9, -2) after a reflection over t
What is the difference between the absolute value of –8 and the absolute value of 6? 2 8 14 16
Answer:
the answer should be 2
Step-by-step explanation:
the absolute value of something cannot be negative, the eight automatically becomes +8 and the difference between 8 and 6 is 2 (8-6=2)
There are 72 boys and 90 girls on the math team,
For the next math competition, Mr. Johnson would like to arrange all of the students who
rows with only girls or only boys in each row.
What is the greatest number of students that can be in each row
Answer:
The students can be arranged in rows of 18 that is 4 rows of boys and 5 rows of girls
Step-by-step explanation:
Helena borrowed $189 from her parents to
buy an electric bass. She paid back $56
last week and $64 this week. How much
does Helena still owe her parents?
A $133
C $69
B $120
D $29
I don’t know how to find the LCM for this.
Answer:
B
Step-by-step explanation:
7mn³|7m²n³ ---14mn^5
| m---2n²
LCM=7mn³×m×2n²
=14m²n^5
or LCM of 7,14 =14
Highest power of m=2
Highest power of n=5
LCM=14m²n^5
A rectangular one story house covers an area of 3,700 square feet. The ceilings are 8 feet high. What is the volume of the interior of the house?
Number Model:The surface area is 3700 square feet.
The house is 8 feet tall.
Simply, you just have to multiply 3700 * 8.
Answer: 29,600 Cubic Feet
B. The owners added a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet tall. What is the volume of the second floor?
Number Model:
Answer: Cubic Feet
C. What is the total volume of the interior of the house?
Number model:
Answer: Cubic Feet
Answer:
43100 cubic feet
Step-by-step explanation:
Floor 1: 3700 * 8 = 29600
Floor 2: 50 * 30 * 9 = 13600
Total = 29600+13600=43100
The volume of the interior of the house is 29,600 cubic feet.
The volume of the second floor is 13,500 cubic feet.
The total volume of the interior of the house is 43,100 cubic feet.
What is the volume?The formula that can be used to determine the volume of a rectangular prism is : length x width x height
surface area x height
The volume of the interior of the house = 3700 x 8 = 29,600 cubic feet
The volume of the second floor - 50 x 30 x 9 = 13,500 cubic feet.
The total volume of the interior of the house = 29600 + 13500 = 43,100 cubic feet.
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
What is the rule for a geometric sequence whose first term is 6 and the common ratio is 2?
Answer:
6/2
Step-by-step explanation:
Answer:
An = 6*2^(n-1)
Step-by-step explanation:
Red: y = 7x
Blue: y = 5x
Green: y - 4x
Purple: y= 34
As x gets very large, which function becomes largest and remains so?
y = 7x
y = 5x
y = 4x2
y = 3
Final answer:
As the independent variable x grows very large, the quadratic function y = 4x^2 will outpace the linear functions y = 7x, y = 5x, and y = 34, hence it will become the largest and remain so.
Explanation:
The student is asking about the behavior of different linear functions and a quadratic function as the independent variable x becomes very large. When examining the functions given, we notice that three of them, y = 7x, y = 5x and y - 4x are linear, while the fourth, given the context should likely be a quadratic function y = 4x2, although that wasn't presented correctly in the question. As x grows, the function with the highest degree will become the largest. In this case, the quadratic function y = 4x2, which grows at a rate proportional to the square of x, will outpace the linear functions, whose growth is only directly proportional to x. Thus, as x becomes very large, the quadratic function “y = 4x2” becomes the largest and remains so.
It is okay to download information without asking a lab instructor as long as it is for your online class.
Please select the best answer from the choices provided
OT
OF
Answer:
false
Step-by-step explanation:
on eng 2020
The correct option is " Option 2" i.e., False.
It is given that somebody is trying to download an information without asking a lab instructor.
We have to tell that whether it is a right thing or not ?
What do you mean by moral values ?
Moral values are defined as the guidelines that assist a person in deciding between right and wrong.
It is not a right thing to use any private thing without the permission of the owner.
Hence it is also not okay to download information without asking a lab instructor even if you are using it for your online classes.
To learn more about moral values click here ;
https://brainly.ph/question/20338415
#SPJ2
what ordered pair represents the y-intercept of the graph of the equation y=-4x-7
Answer:
(0,-7)
Step-by-step explanation:
y-intercepts are when x=0
During his 2009 MVP season for the St. Louis Cardinals, Albert Pujols hit 93
singles, 45 doubles, 1 triple, and 47 home runs in a total of 568 at bats. The
following table arranges these data in terms of the number of bases for a hit,
counting O bases for the times when he did not get a hit and 4 bases for
home runs.
Number of
Bases
0
1
3
4
2
451
Number of
Times
382
47
To the nearest thousandth, what was E(X), the expected number of bases for
Albert Pujols in a typical at bat in 2009?
O
A. 0.327
OB. 0.487
O
C. 0.658
OD. 0.597
Answer:
E(Bases ) = 0.6584499955929 choice C.
Step-by-step explanation:
We want Expected number of bases during 2009
E(bases) = SUM (number of outcomes) *probabiility of outcome
93 + 45 + 1 + 47 = 176 hits
but there are a total of 568 bats
568 - 176 = 392 misses?
E(Bases) = 0* P( miss) + 1 * P( hitting singles) + 2*P(hitting doubles) + 3*P(hitting triples) + 4*P(home run)
E(Bases) = 0 + 93/568 + 2* (45/568) + 3*(1/568) + 4*(47/568)
0.16373239 + 0.158450 + 0.0052816901 + 0.33098591549
E(Bases ) = 0.6584499955929
Answer:
C 0.658
Step-by-step explanation:
A car travels 25 ⅕ miles in ⅔ of an hour. What is the average speed, in miles per hour?
Answer:
37 4/5 miles per hour
Step-by-step explanation:
Take the miles and divide by the time
25 1/5 ÷ 2/3
Change the mixed number to an improper fraction
(5*25 +1)/5 ÷ 2/3
126/5 ÷ 2/3
Copy dot flip
126/5 *3/2
378/10
Changing to mixed number
10 goes into 378 37 times with 8 left over
37 8/10 which simplifies to 37 4/5
37 4/5 miles per hour
Sara spent $5 from her savings
to buy a book. Then she spent
half of her remaining savings
when she paid $9 for a shirt.
How much money did Sarah have
in savings before she bought
the book and the shirt?
Answer:
sorry for this just wait im about to slove it
Step-by-step explanation:
found it.it was 23
Answer: 23$
Step-by-step explanation:
If half of Sara's remaining savings was 9$, her remaining savings after buying the book would be 18$. 18$+5$=23$. Good luck and have a nice day!
if the length of side PQ is 5 inches, what are the possible lengths of the other 2 sides?
Complete this proof.
Given: EC AC, DB AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Answer:
Proved
Step-by-step explanation:
Given: EC || AC, DB || AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Solution
See diagram attached to the solution to better understand the following workings.
Redrawing ΔMDF or rotating to be facing the same direction.
EC is parallel to AC
DB parallel to AC
Using similar triangle theorem:
If ΔMDF ∼ ΔNCA
Ratio of Corresponding sides would be equal
(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)
DF/ CA = MD/NC = FM/AN
∠A = ∠F
∠M = ∠N
∠D = ∠C
Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.
ΔMDF ∼ ΔNCA
Statement:
1. line EC is perpendicular to line AC, line is perpendicular to DB line AC, ∠A = ∠F
2. ∠F = ∠A
3. ∠1 =∠2
4. ΔMDF ∼ ΔNCA
Reason:
1. Given
2. Given
3. Alternate interior angles are equal
4. AA
Which is an example of a non-statistical question?
Question 1
Question 2
Question 3
Question 4
Questions
What did each person in our class have for lunch yesterday?
What did each child in preschool have for lunch yesterday?
What did Maria have for lunch today?
What did each person in our class have for lunch today?
question 1
question 2
question 3
question 4
Answer:
What did Maria have for lunch today?
Step-by-step explanation:
For each of the other questions we can collect data
For Maria it is one piece of information
Answer:
Question 3: What did Maria have for lunch today?
Step-by-step explanation:
Statistical questions are to analyse a population based on a sample. Maria is one individual, not a population
3. Carlos' grandparents gave him $19,000
for college. He plans to invest it with Willy
Loanshark. Willy pays 10% compounded
quarterly for one year. How much will Carlos
have at the end of the year? *
O
$20972.44
O
$2851187.50
O
$19475.00
O
$66500.00
Answer:
A = 20972.44
Step by step explanation:
Principal (P) = 19000
Rate = 10% = 0.1
Time = 1 year
N (number of time the interest is compounded) = 4
Compound interest (A) = P(1 + r/n)^nt
A = 19000 * (1 + 0.1 / 4)^4*1
A = 19000 * (1 + 0.025)⁴
A = 19000 * 1.025⁴
A = 19000 * 1.1038
A = 20972.44
The interest at the end of the year is $20972.44
The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviation of 0.3 ounce. A random sample of 16 cupcakes is selected every day and measured. What is the probability the mean weight will exceed 2.1 ounces?
Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) = a2 + ab + ( b2)
Answer:
2a^2+ 9ab+ (-7b^2)
Step by Step Explanation
Hope this helps!! Have a great day!! : )
The simplified expression of [tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex] is [tex]2a^2+ 9ab - 7b^2[/tex].
The expression is given as:
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex]
Remove brackets
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 + 4ab - 3b^2 +5ab - 4b^2 - 3a^2[/tex]
Collect like terms
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 - 3a^2+ 4ab +5ab - 3b^2 - 4b^2[/tex]
Evaluate like terms
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 2a^2+ 9ab - 7b^2[/tex]
The equation cannot be further simplified.
Hence, the simplified expression is [tex]2a^2+ 9ab - 7b^2[/tex]
Read more about simplification at:
https://brainly.com/question/8008182
A lollipop weighs 1 ounce. Do 14 lollipops weigh more than 1 pound
Yes they do weigh 1 pound or No they don't weigh less than one pound
Answer:
they weigh less than a pound
Step-by-step explanation:
because 1 pound is equal to 16 ounces
Is these two correct?
Just to make sure.
Answer:
It should be correct
Step-by-step explanation:
Select the statement that explains the relationship between 430,100 and 43,010.
Choose 1 answer:
~
430,100 is 10 times smaller than 43,010.
®
43,010 is 10 less than 430,100.
©
430,100 is 10 times as much as 43,010.
Answer:
430100 is 10 times much as 43010
Step-by-step explanation:
43010 multiply by 10=430100
PLEASE ANSWER ASAP!!
What is the solution to the system of equations below?
y =2/5x - 3 and x = –10
1. (-10, -7)
2. (-10, -1)
3. (-7, -10)
4. (-1, -10)
Please help!! Will give Brainly to the best answer!!!!The function f(x) = -X² + 16x - 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number of candles sold.
Determine the vertex, and explain what it means in the context of the problem.
(6, 10): The vertex represents the maximum profit.
(6. 10): The vertex represents the minimum profit.
(8. 4): The vertex represents the minimum profit.
(8.4); The vertex represents the maximum profit.
Answer:
(8,4)
Step-by-step explanation:
The vertex means that the maximum amount of candles that you can sell is exactly 8 to obtain full profit.
The equation would be f(x) = -X² + 16x - 60
then -(x^2 -16x)-60 which then equals
-(x^2-16x+64-64)-60
then that would equal -(x-8)^2 +64 -60
which would give you the final answer of -(8x)^2 +4
Answer:
(8, 4); The vertex represents the maximum profit.
Step-by-step explanation:
Help if you answer I’ll mark you brainliest
Answer:
I CAN'T SEE ANYTHING FROM THAT FAR SORRY BUT I WISH I COULD HELP YOU!!!
Step-by-step explanation:
(again sorry)!
Answer:
1 = 1.3
2 = 2.25
3 = 9/100
4 = 3/4
5 = 31
6 = <
Step-by-step explanation:
Simplify (3-4i) (-6-6i)
Answer: -42+6i
Step-by-step explanation:
1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
−18−18i+24i−24
2. Collect like terms.
(−18−24)+(−18i+24i)
3. Simplify.
−42+6i
How does estimating an addition or subtraction problem help you know if ananswer is reasonable?
Answer:
To be reasonable means to be as much as is appropriate or fair.
In math, reasonableness can be defined as checking to verify that the result of the solution or the calculation of the problem is correct or not, be either estimating or by plugging in your result to check it.
When solving a math problem, we can check if the answer we have derived to is reasonable or not, based on an estimate. A reasonable estimate does not exceed the original numbers in a problem.
For instance, in a division problem like 424 ÷ 4 − 10, we can check is our answer is reasonable or not, by estimating an approximate answer or by plugin gin using the division formula.
We can round down 424 to the nearest hundreds, to estimate the answer. Since 96 (actual answer) ≈ 90 (estimate answer), we know our solution is correct.
We can check our solution by plugging in to verify using, 96 × 4 + 10 as well.
Step-by-step explanation:
When estimating an addition or subtraction problem, you can easily tell if it is reasonable or not. If you're having trouble with a problem, such as 1342+7864, and you're getting an answer of... 1300, but don't think its correct, you can estimate by rounding the numbers and adding them. For example, 1342=1300 and 7864=7900 (I'm using the rule that if the number is 4-0 I round down and if its 5-9 I round up.) Since we're woring with thousands you would try to get the most split, even value you can without taking off too much, so we would round the tens place. And after that you could add 1300+7900=9200. Then you would know your answer of 1300 is not reasonable and you have an error in your equation. Estimating is a great skill to have, and it really helps when you're just trying an equation out or get one of those "Estimate the sum of" questions.
Hope this helps! I didn't copy it from anywhere, just wrote it myself :) Brainliest would be awesome!