some help help help help help help help help help help help help help help help help help help help help me please please please some
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Please help !!!!!!!!
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replace f(x) with y
y = 1/2x+4
switch x and y
x = 1/2y +4
solve for y
multiply both sides by 2
2x = y+8
subtract 8 from both sides
2x-8 = y
rewrite with y on the left side: y = 2x-8
replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8
solve for f^-1(4)
replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0
You are laying an asphalt driveway. How much area must you cover if the driveway is 21 feet long and 10.5 feet wide?
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An asphalt driveway has the shape of a rectangle
so
area of rectangle=long*wide
area=21*10.5-----> 220.5 ft²
the answer is
220.5 ft²
Given: ΔSTQ, ST = TQ
Line SD is perpendicular to TQ
m∠1=32°
Find: m∠S, m∠T, m∠Q
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__________________________________________________________
Explanation:
__________________________________________________________
To find "m∠Q" :
Consider the triangle formed by ∠D , ∠1, and ∠Q ;
Given m∠1 = 32° ;
and m∠D = 90° (a "right triangle" ; as shown in "image attached" ;
and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ;
→ m∠Q = 180 − (90 + 32) = 180 − 122 = 58 ;
_______________________________________________________
Since this is an "isosceles triangle" ;
→ m∠S = m∠Q = 58° .
Since all angles of any triangle add up to " 180° " ;
→ m∠T = 180 − (58 + 58) = 180 − 116 = 64 ;
____________________________________________
Answer: m∠S = 58 ° ; m∠T = 64 ° ; m∠Q = 58 ° .
____________________________________________
Answer:
s=58 degrees, Q=58 degrees, T=64 degrees
Step-by-step explanation:
Consider the triangle formed by ∠D , ∠1, and ∠Q ;
Given m∠1 = 32° ;
and m∠D = 90° (a "right triangle" ; as shown in "image attached" ;
and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ;
→ m∠Q = 180 − (90 + 32) = 180 − 122 = 58
Sunny's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants. For every 3 tomato plants in Sunny's garden, there is 1 ____ plant.
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from the list of plants there are 3 squash plants
3 squash plants x 3 tomato plants = 9 total tomato plants
the answer is Squash Plants
Answer: Squash plant is the right answer to fill the blank.
Step-by-step explanation:
Since we have given that
Number of tomato plants = 9
Number of pepper plants = 5
Number of squash plants = 3
Number of pumpkin plants = 6
Since the ratio of tomato plants to squash plants is 9 : 3 = 3 : 1.
So, for every 3 tomato plants in Sunny's garden, there is 1 squash plant.
Hence, Squash plant is the right answer to fill the blank.
20 POINTS!!!
a point is translated 2 units to the right and five units down on the coordinate plane, how will this affect the x- and y- coordinates of the point?
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Let y start out as y
The original point is (x , y)
Start with moving the x 2 units to the right.
To the right means going more positive.
x would become x + 2
down means the value is going in the minus y direction you are subtracting 5 from the original y
y - 5 is what you get.
The answer is
(x + 2, y - 5) <<<<<< answer
Jaimie purchased a condo at naples Florida for 699000. She put 20 % down and financed the rest at 5% for 35 yrs what are Jaime total finance charges
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Finance charges are about $626,128.20.
A survey questioned 1,000 high school students. the survey revealed that 48% are honor roll students. of those who are honor roll students, 45% play sports in school and 22% of those that are not honor roll students, don't play sports. what is the probability that a high school student selected at random plays sports in school?
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Of the remaining 520 non-honor-roll students, 22%, or 114.4 don't play sports. That leaves 405.6 that do.
Thus, of the 1000 students surveyed, 216 +405.6 = 621.6 play sports, for a ratio of 621.6/1000 = 0.6126.
The probability that a randomly chosen student plays sports in school is about 0.6216.
hello can you please help me posted picture of question
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There are 4 ways to fill 1st seat.
When 1st seat is filled, there will be 3 ways to fill the second seat.
Similarly there will be 2 ways to fill the third seat and 1 way to fill the last seat.
So, total number of ways the seats can be filled = 4 x 3 x 2 x 1 = 24 ways.
Therefore, the correct answer is option A
In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nearest 1000) a 12,000 b 13,000 c 14,000 d 15,000
A.) 12,000
B.) 13,000
C.) 14,000
D.) 15,000
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A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer:
A.) 12,000
T-Shirts R Us advertises shirts as shown below. mc002-1.jpg Which quantities in the advertisement represent a unit rate?
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Answer:
C.) $10 per shirt
Step-by-step explanation:
have a nice day
The option C is more simplified answer for given condition, unit rate is $10.
What is unit rate?When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.
Given
There are 5 shirts in the image given to us composed of 3 white shirts and 2 black shirts.
A rate with 1 as its denominator is known as a unit rate.
Option A: A ratio of 3:2 or a fraction of 3/2 is indicated by 3 white shirts and 2 white black shirts.
The denominator is not 1, hence this cannot be a unit rate.
Option B: 5 white shirts to 2 black shirts. This cannot be a unit rate because the fraction 2/5 will not have 1 as the denominator.
Choice C: $10 for each shirt. Because it represents a ratio of 10:1 or a fraction of 10/1, this rate is a unit rate. Therefore, the price of 5 shirts will be $50.
D: $50 for each shirt. Because option C has provided us with a more straightforward sum of $10, which we must accept as we are dealing with unit rates, this would not be a unit rate in this question.
Hence Option C is most suitable answer.
Learn more about unit rate;
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The complete question is in image.
On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to complete the last task to make an item.How many items can be completed in 25 minutes?
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Task 2 ----- 3 min 10 sec = 3+10/60 = [tex] 3\frac{1}{6} [/tex] minutes
Task 3 ----- 1 min
Total time to make 1 item = [tex]2 \frac{1}{2} [/tex] + [tex]3 \frac{1}{6} [/tex] +1 = [tex]6 \frac{2}{3} [/tex]minutes
In 25 minutes;
Number of items made = 25/(6 2/3) = 3.75 items = 3 items (since only a fully assembly can be regarded as an item).
the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sad is in each dump truck when the trucks are the same weight
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Answer:2 .25 Tons
Step-by-step explanation:
Weight of truck + sand when filled= 18 tons
Discharge rate per minute= 1/8 tons/ minute
Quantity of sand in the truck will be:
1/8tons per minute×18tons = 9/4 = 2.25tons
List two school activities that u do in the morning time and afternoon time.write time for these two activities
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2. I spend time doing assignments in votech: 12:00pm to 2:30pm
- go to class at 7:05
-leave class at 3:15
-do homework for 45 minutes
-debate club in the afternoon at 4:00
Can someone tell me if I got this answer correct? If not, what is the correct answer?
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A) 9^2 *9-2 = 81 * 7 =567
B) 2^2 * 2-2 = 4 *0 = 0
C) 4^2 * 4-2 = 16 * 2 = 32
D) 2-2 *2^2 = 0*4 = 0
the correct answer is D
You roll a 6-sided die.
What is P(prime)? Simplify your answer and write it as a fraction or whole number.
P(prime) =
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3/6 simplifies to 1/2.
Factor the Following Expression using the greatest common monomial factor. (x^p+2)(y^p+2) + (x^p+2)(y^p-1) + (x^p+1)(y^p+1) + (x^p+1)(y^p-1)
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[tex]x^{p+2}y^{p+2}+x^{p+2}y^{p-1}+x^{p+1}y^{p+1}+x^{p+1}y^{p-1}\\\\=(x^{p+1}y^{p-1})(xy^{3}+x+y^{2}+1)[/tex]
The product of two consecutive even integers is 120. Find the interfere
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The product of two consecutive even integers is 120. Find the integers
let
x-----------> first even integer
x+2-------> second consecutive even integer
we know that
x*(x+2)=120-------> x²+2x-120=0
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=10
therefore
first even integer is 10
second consecutive even integer is (10+2)----> 12
the answer is
10 and 12
Mason earns $70,000 per year and puts 7% of his earnings into a savings account. What is the total amount in Mason's account after 1 year if the interest rate is 3%?
A. $147
B. $72,100
C. $5,047
D. $2,100
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Annual income of Mason is 70,000 dollars.
He saves 7% of his annual earnings into a saving account.
So, his savings would be 7% of 70,000 = 0.07 x 70,000 = 4,900 dollars.
The saving account gives an interest rate of 3% per annum.
So the interest accrued on 4900 dollars over the year would be 3% of 4,900 = 0.03 x 4,900 = 147 dollars.
Total amount in the saving account would be sum of principal amount and interest accrued.
Total balance = principal amount + interest accrued.
Total balance = 4900 + 147 = 5,047 dollars.
Hence, option C is correct i.e. 5,047 dollars.
The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play?
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Answer:
Step-by-step explanation:
it shows 16 dots but it keeps saying i get it wrong
Answer:
16
Step-by-step explanation:
Plato ( just put 16 nothing extra “
Eya is 7 less than threee times bills age.if eya is 17 how old is bill
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24(3)=x
x=72
bill is 72
We do the opposite than what is says in the problem
Eya is 7 less than three times bills age
We add 7 to Eya age
17 + 7 = 24
It says three times bills age so we divide by 3
24 / 3 = 8
Bill is 8
Hope this helps!
A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?
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simplify
200/16=12.5
12.5*6=75
Answer = 75
Simplify 5(7y+2) can someone help me with the steps on how to simplify this problem and answer as an expression
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Distribute (multiply) the 2 to the numbers in the parentheses.
35y + 10
Solve the system of equations. -6y+11x = -36
-4y+7x=-24 −6y+11x=−36 −4y+7x=−24 x= y=
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y -(11/6)x = 6
y -(7/4)x = 6
Subtracting one of these from the other tells you x=0, so you know immediately that y=6.
The solution is ...
x = 0
y = 6
The solution to the system of equations is:
x = 0
y = 6
To solve the system of equations:
-6y + 11x = -36
-4y + 7x = -24
You can use the method of substitution or elimination. I'll use the elimination method here.
First, multiply the second equation by 3 to make the coefficients of y in both equations equal:
-6y + 11x = -36
-12y + 21x = -72
Now, you can subtract the first equation from the second equation to eliminate x:
(-12y + 21x) - (-6y + 11x) = (-72) - (-36)
Simplify:
-12y + 21x + 6y - 11x = -72 + 36
Combine like terms:
-6y + 10x = -36
Now, divide both sides by 2 to simplify:
(-6y + 10x) / 2 = (-36) / 2
-3y + 5x = -18
Now you have a simplified system of equations:
-6y + 11x = -36
-3y + 5x = -18
You can solve this system using either the substitution or elimination method. Let's use the elimination method again. Multiply the second equation by 2 to make the coefficients of x equal:
-6y + 11x = -36
-6y + 10x = -36
Now, subtract the first equation from the second equation:
(-6y + 10x) - (-6y + 11x) = (-36) - (-36)
Simplify:
-6y + 10x + 6y - 11x = -36 + 36
Combine like terms:
-1x = 0
Now, solve for x:
x = 0
Now that you know the value of x, you can substitute it into one of the original equations to find the value of y. Let's use the first equation:
-6y + 11x = -36
-6y + 11(0) = -36
Simplify:
-6y = -36
Now, solve for y:
y = (-36) / (-6)
y = 6
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John's monthly salary is 7,000. If John deposits 0.75 of his paycheck into a savings account. How much money does he put in his savings account every month?
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John deposits $5,250 into his savings account every month, which is 75% of his monthly salary.
The student's question is about how much money John deposits into his savings account from his monthly salary. To solve this, we calculate 0.75 (or 75%) of John's monthly salary of 7,000.
Calculation: 0.75 imes 7,000 = 5,250
So, John deposits $5,250 into his savings account every month.
Find the area of the circle in terms of Pi
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1) A = pi* (3^2)
2) A = 9pi
The area in terms of pi is 9pi cm^2.
I got 9pi cm^2, but it is always helpful to double check work. Hope this helps!
r - the radius
We have the diameter of the circle: d = 6cm.
d = 2r, therefore
2r = 6cm → r = 3cm
Substitute to the formula:
[tex]A=\pi\cdot3^2=9\pi\ cm^2[/tex]
The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface area of the pyramid?
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[surface area of the pyramid]=area of the base+4*[area of one lateral triangle]
area of the base=14*14------> 196 cm²
area of one lateral triangle=b*h/2
b is the length side of the square
b=14 cm
h is the slant height
h=15 cm
area of one lateral triangle=14*15/2-----> 105 cm²
[surface area of the pyramid]=196 cm²+4*[105 cm²]-----> 616 cm²
the answer is
616 cm²
"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probability of type i error if the population mean time lag is 20 days?"
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.......... .
Answer:
17
Step-by-step explanation:
Simplify the expression 6sqrt2/sqrt3
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First you factor the 6
[tex] \frac{2 * 3 \sqrt{2} }{ \sqrt{3} } [/tex]
Simplify
[tex]2 \sqrt{2} * \sqrt{3} [/tex]
Multiply the square roots
[tex]2 \sqrt{6} [/tex]
The answer is [tex]2 \sqrt{6} [/tex]
Hope this helps!
1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the second slip of paper. What is the probability of selecting and odd number and then a number greater than 9? 1/2 1/18 6/10 3/25
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2. We would expect that P(2 white cards) = P(1 white card)*P(2nd white card given 1 white card).This gives the equation 14/95 = 2/5 * x
Solving for x gives x = 7/19.
3. There are a total of 4 favorable results: 1, 4, 5, 6. Out of the 6 possibilities, this is a probability of 4/6 = 2/3.
How do I answer this dot plot?
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Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)
1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
3. False. √12.71 ≠ √6.1475
4. False. The mean of Data Set A is 29.7.
5. False. Data Set A has the higher standard deviation.
6. TRUE. 29.7 is close to 29.5.
The true statements are
• the 2nd one
• the 6th one