Answer:
Step-by-step explanation:
Since g is a one-one function, its inverse exists.
Let (g^-1)(-6) = t
We have to find t
-5
(g^-1)(-6) = t inplies
-6 = g(t)
-6 = 5t + 19
5t = -25
t = -5
The frog is climbing out of a well that is 50 Feet deep. The frog can climb 7 feet per hour but then a rest for an hour and it slips back 3 feet while resting. How long will it take for the frog to get out of the well?
7-3=4 feet per hour
50 : 4 = 12,5 hour
The time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.
It is given that a well has a depth of 50 feet and a frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.
We have to find out what time will it take for frog to get out of the well ?
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
The frog starts from the bottom of the well.
It is given that the well has a depth of 50 feet.
Frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.
Let's check distance covered by frog in 2 hours ;
1st hour = 7 feet
2nd hour = 7 - 3 = 4 feet
So ,
In 2 hours frog covers a distance of 4 feet.
Hence ,
To climb 44 feet or 4 × 11 feet , the frog will take 2 × 11 or 22 hours
and
To climb rest of 6 feet distance , the frog would take [tex]\frac{6}{7}[/tex] of an hour.
Also ;
It is needed to be mentioned that once the frog reaches at the top of well it won't slip back.
So ,
The total time taken by frog to climb 50 feet deep well will be ;
= [tex]22\frac{6}{7}[/tex] hours
Thus , the time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.
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1. If I have a car that cost 30,000 and every year it loses value at 20% a year, then what would the value of
the car be after 5 years?
Growth
rate
Answer:
$9,830.40
Step-by-step explanation:
1st year--$30,000.00 x .20=$6,000.00= $30,000.00 - $6,000.00 =$24,000.00
2nd year--$24,000.00 x .20=$4 800.00=$24,000.00 -$4,800.00=$19 200.00
3rd year---$19,200.00 x .20 =$3,840.00= $19,200.00 - $3,840.00 = $15,360.00
4th year---$15,360.00 x .20=$3,072.00=$15,360.00 - $3,072.00=$12,288.00
5th year $12,288.00 x .20=$2,457.60=$12,288.00 - $2,457.60 =$9,830.40
A rectangular table has a border of same-sized square tiles. The rectangle has 10 tiles along the length and 6 tiles along the width for a total of 28 total tiles. Notice that 10 + 10 + 6 + 6 ≠ 28. If the rectangular table has L tiles along the length and W tiles along the width, which of the following expressions represents the total number of tiles in the border?
l. 2l + 2w
II. 2l + 2w + 4
III. 2l + 2w - 4
IV. 2(1-2) + 2(w-2)+4
A. I only B. II and IV only C. III only D. III and IV only
Answer:
IV. 2(1-2) + 2(w-2)+4
Step-by-step explanation:
III. 2l + 2w - 4
Which expression is equal to (6•5)^4
y=2x-5
write in y=mx+b form
720 = N + 315 + 240 what is it
Answer:
Note: N is represented by n instead.
Step-by-step explanation:
[tex]720 = n + 315 + 240[/tex]
Add the numbers
[tex]720 = n + 555[/tex]
Move the variable to the left-hand side and change its sign
[tex] - n + 720 = 555[/tex]
Collect like terms
[tex] - n = 555 - 720[/tex]
Calculate the difference
-N= - 165
N= 165
Hope this helps
The area of a square in square feet is represented by a^2 + 16a + 64
a- Find an expression for a side length of the square
b- Find the perimeter of the square when a=9
Answer:
a. a side length is (a+8)
b. a=9. (9+8)= 17
17×4= 68 is the perimeter
The table shows the mean monthly temperatures in Alcudia for the last 2 years in degrees Celsius. °C Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Last Year 9 10 11 14 19 22 27 29 21 18 11 6 2 Years Ago 7 11 10 13 17 23 25 25 20 18 12 9. What was the modal temperature last year?
Answer:
The modal temperature last year is 11 (March and November)
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
A year ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
9 10 11 14 19 22 27 29 21 18 11 6
2 years ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
7 11 10 13 17 23 25 25 20 18 12 9
2. What was the modal temperature last year?
Let's recall the mode of a data set is the number that occurs most frequently in the set. The number that occurs the most in the average temperatures last year is 11 (March and November) and 2 years ago is 25 (July and August)
The lawn is 30 yd long and 16 yd wide how much shorter is your walk if you walk diagonally
Check the picture below.
I need help on this please
Answer:
B. R/3
Step-by-step explanation:
The perimeter of a park is 0.251 meters the actual perimeter of the park is 1,000 times as large what is the actual perimeter of the park
The actual perimeter of the park is 251 meters
Solution:
Given that, perimeter of a park is 0.251 meters
The actual perimeter of the park is 1,000 times as large
To find: Actual perimeter of park
From given,
Actual perimeter of park = 1,000 times as large as perimeter of park
Here, "times" means multiplication
Actual perimeter of park = 1000 x perimeter of a park
Actual perimeter of park = 1000 x 0.251
Actual perimeter of park = 251
Thus the actual perimeter of the park is 251 meters
What is the value of the expression (2)^6?
If 10% of 60 is 6, what is 5% of 60?
Explain how you found your answer
Answer:
10% of 60 means (10 X 60)/100 so the answer is 6. Similarly 5% of 60 means (5 X 60)/100 , So the Answer is 3.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Caitlin is at the grocery store, and she’s trying to finthe unit price on a 6-pack of drinks on sale for $2.99.
Her younger brother says that at that
would cost just over $1.00. Is he correct, and how do
you know? If he were incorrect, how would Caitlin’s
brother find the correct price?
Well, first off, any ameteur who read the question once would know he is INCORRECT, this is because you can easily see he's dividing it by 3 not 6 like you should be, so 2.99 divided by 6 is 0.498333 ( continuing ) so since this must be rounded to the nearest hundredth, so, 50 cents per bottle.
So question 1: No, because he divided with the incorrect numbers.
Question 2:( I actually don't understand this question, cause we just established he was wrong ) so since I don't understand this one, imma say no, or meh.
CORRECT unit rate: 50 cents per bottle.
Hope this helps, if not, comment below please!!!!
Ise the terms 4, 12a, 6, 2a, and 24 to make equivalent expressions
Answer:
12a + 24 = 6(2a + 4) is the equivalent expressions
Step-by-step explanation:
Given the terms ; 4, 12a, 6, 2a, and 24
There are two terms with unknown = 12a and 2a
but 12a = 2a x 6 .........(1)
from the last term = 24 = 6 x 4 ...........(2)
add both equation 1 and 2 = 12a + 24
12a + 24 = 6(2a + 4) is the equivalent expressions .
to VERIFY; Use a = 2
substitute into the expression ; LHS = RHS
= 12(2) + 24 = 24 + 24 = 48 (LHS)
FOR RHS = 6(2a+4) = 6(2x2 + 4)
= 6(4+4) = 48
Hence LHS = RHS
Need the answer urgently
Shade the amount of pie given in the mixed number. There may be more pies than you need.
Use the order pairs to find the linear equation in slope intercept form
(0,10) & (3,2)
[tex]y = \frac{-8}{3}x + 10[/tex] is the equation in slope intercept form
Solution:
Given points are (0, 10) and (3, 2)
We have to find the slope intercept form
Let us first find the slope of line
The slope of line is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
[tex](x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)[/tex]
Substituting the values we get,
[tex]m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}[/tex]
The equation of line in slope intercept form is given as:
y = mx + c ------- eqn 1
Where, "m" is the slope of line and "c" is the y intercept
Substitute [tex]m = \frac{-8}{3}[/tex] and (x , y) = (0, 10) in eqn 1
[tex]10 = \frac{-8}{3} \times 0 + c\\\\c = 10[/tex]
[tex]Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1[/tex]
[tex]y= \frac{-8}{3}x + 10[/tex]
Thus the equation of line in slope intercept form is found
Solve the equation 3x - 13y = 2 for x.
Hey there!
To solve for x, you must isolate the x term. To do so, first add 13y to both sides so you can leave 3x isolated on one side:
3x - 13y + 13y= 2 + 13y
3x= 2 +13y
Now, divide both sides by 3 to isolate the x variable and get your final answer:
(3x)/3 = (2 + 13y)/3
x = [tex]\frac{2 + 13y}{3}[/tex]
The equation could also be written as x= [tex]\frac{2}{3}+\frac{13y}{3}[/tex] if you choose to separate the 2 and 13y.
I hope this helps!
Answer:
[tex]x = \frac{2 + 13y}{3} \\ [/tex]
Step-by-step explanation:
[tex]3x - 13y = 2 \\ 3x = 2 + 13y \\ \frac{3x}{3} = \frac{2 + 13y}{3} \\ x = \frac{2 + 13y}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
81) The figure below is a trapezoid.
What appears to be true about this trapezoid's sides?
A) LM || NO
B) NO = LM
C) MN I NO
D) LO || MN
Answer:
A) LM || NO
Step-by-step explanation:
In a trapezoid one pair of opposite sides is always parallel.
Here, in the given figure, LM is parallel to NO
A) LM || NO is the correct answer.
Tell if the slope is positive, negative, zero, or no slope.
Answer:
I think the slope is zero
Answer:
The slope is 0.
Step-by-step explanation:
If the slope line is straight with the x-axis, its 0.
If the slope isnt going straight on x nor y-axis, it had a slope of anything greater or less than 0, but not 0.
on the subway 8 out of 11 people are carrying a briefcase. Based on the information, if there are 700 people on the subway, then about how many do not have a briefcase?
Answer:
About 191 people
Step-by-step explanation:
Given:
On the subway 8 out of 11 people are carrying a briefcase.
There are 700 people on the subway.
Question asked:
About how many people do not have a briefcase ?
Solution:
By applying unitary method:
Out of 11 people, number of people having briefcase = 8
Out of 1 , number of people having briefcase = [tex]\frac{8}{11}[/tex]
Out of 700 people, number of people having briefcase = [tex]\frac{8}{11} \times700\\[/tex]
= [tex]\frac{5600}{11}[/tex]
Number of people not having briefcase = [tex]700 -[/tex][tex]\frac{5600}{11}[/tex]
= [tex]\frac{7700-5600}{11}[/tex]
= [tex]\frac{2100}{11}[/tex] = [tex]190.90[/tex]
Therefore, about 191 people do not have a briefcase on the subway.
Final answer:
To find how many people do not have a briefcase out of 700, calculate the number of people with a briefcase and then subtract that from the total.
Explanation:
On the subway 8 out of 11 people are carrying a briefcase. This can be represented as 8/11 of the people have a briefcase. To find out how many people do not have a briefcase out of 700 people, we can first calculate the proportion that have a briefcase and then subtract that from the total.
To find the number of people with a briefcase:
Proportion with briefcase: 8/11
Number with briefcase out of 700: (8/11) x 700 = 509.09 (round down to 509)
Therefore, the number of people without a briefcase would be: 700 - 509 = 191 people.
3. What value of y makes this true?
25 - y<15
A. 8
B. 9
C. 10
D. 11
To figure out which value of y makes this true, plug in each option:
y = 8
25 - y < 15 Plug in 8 for y
25 - 8 < 15
17 < 15 This is false because 17 is not less than 15
y = 9
25 - y < 15 Plug in 9 for y
25 - 9 < 15
16 < 15 This is false because 16 is not less than 15
y = 10
25 - y < 15 Plug in 10 for y
25 - 10 < 15
15 < 15 This is false because 15 can't be less than itself (15)
y = 11
25 - y < 15 Plug in 11 for y
25 - 11 < 15
14 < 15 This is true because 14 is less than 15
Your answer is D
Round 86 to the nearest 10
Answer:
90
Step-by-step explanation:
"The answer is 90.
To round 86 to the nearest ten, one must look at the digit in the ones place, which is 6 in this case. Since 6 is greater than or equal to 5, the number in the tens place is increased by one. The digit in the tens place is 8, so when it is increased by one, it becomes 9. Therefore, 86 rounded to the nearest ten is 90."
Need help please. Thanks so much.
Answer:
[tex](-1,\frac{17}{6})[/tex]
[tex](3,\frac{3}{2})[/tex]
[tex](-5,\frac{25}{6})[/tex]
Step-by-step explanation:
The given equation is [tex]2x+6y=15[/tex]
We substitute the ordered pairs to see which ones satisfies the equation.
For (-1,-8), we put x=-1 and y=-8 to get:
[tex]2(-1)+6(-8)=^?15[/tex]
[tex]-2+-48=^?15\\-50=^?15[/tex]
This is not true.
For [tex](-1,\frac{17}{6}))[/tex] we put x=-1 and [tex]y=\frac{17}{6}[/tex] to get
[tex]2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15[/tex]
This is true
For (3,3/2) we have 2(3)+6(3/2)=15
This implies 6+9=15
15=15
This is also True
For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15
This is also true.
What percent of the 2019 world population lives in Canada? Round the percentage to three decimal places.
Population in Millions
World: 7,691
Canada: 37.4
0.486 % of world population lives in canada
Solution:
From given,
World population = 7691 million
Canada population = 37.4 million
We have to find the percent of world population lives in canada
Let "x" be the percent of world population lives in canada
Therefore, from question,
x % of world population = canada population
x % of 7691 = 37.4
Solve the above equation for "x"
[tex]x \% \times 7691 = 37.4\\\\\frac{x}{100} \times 7691 = 37.4\\\\7691x = 3740\\\\Divide\ both\ sides\ by\ 7691\\\\x = \frac{3740}{7691}\\\\x = 0.486[/tex]
Thus 0.486 % of world population lives in canada
Pre-image point N(6,-3) was dilated to point N'(2, -1). What was the scale factor used?
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Consider the ratio of the x and y- coordinates, image to original, that is
scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
Showton Middle School has 840 students. Teresa surveys a random sample of 60 students and finds that 8 of them have more than 3 siblings, How many students at the school are likely to have more than 3 siblings?
Based on a sample of 60 students, where 8 have more than 3 siblings, approximately 112 students out of 840 at Showton Middle School are estimated to have more than 3 siblings.
If there are 840 students at the school, we can use this sample to estimate the total number of students likely to have more than 3 siblings across the entire school population. This is a problem related to proportions within a population.
To make this estimation, we need to set up a proportion based on the sample data:
Sample proportion of students with more than 3 siblings: 8 out of 60, or 8/60.Total number of students in the school: 840.Now we can set up a proportion:
(number of students with >3 siblings) / 840 = 8 / 60
We solve for the unknown number of students with more than 3 siblings by cross-multiplying:
(number of students with >3 siblings) * 60 = 8 * 840
(number of students with >3 siblings) = (8 * 840) / 60
(number of students with >3 siblings) = 112
Therefore, based on Teresa's sample, approximately 112 students at Showton Middle School are likely to have more than 3 siblings.
Terry shared an apartment with three other people. Each person paid an equal share of the rent. Together they paid $1495.00 per month. How much did Terry pay per month?
Answer:$493.33
Step-by-step explanation:
$373.75 Terry paid per month.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Terry shared an apartment with three other people. .
The total number of people is 4.
Each person paid an equal share of the rent. Together they paid $1495.00 per month.
We have to find the Terry pay per month.
To find this we have to divide $1495.00/4
$373.75
Hence, $373.75 Terry paid per month.
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Whats the square root of 4?
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: The square root of 4 is 2.
4 is a perfect square which means that a whole number which in this case is 2 can be multiplied by itself to give us 4.
It's also on our perfect square list which I have attached below.
STATE -The Martins bought a condominium for $145,000. Assuming
that the value of the condo will appreciate at most 5% a year, how much
will the condo be worth in 5 years?
The future value of a condominium bought for $145,000 with a 5% annual appreciation over 5 years is calculated using the compound interest formula, resulting in a value of approximately $185,061.
The question is asking us to calculate the future value of an investment in real estate, specifically a condominium that was bought for $145,000 with an annual appreciation rate of 5% over a span of 5 years. To find the value of the condo in 5 years, we use the formula for compound interest, which is:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.
Since the appreciation is compounded annually, n is 1. So, we can simplify the formula to:
[tex]A = P(1 + r)^t[/tex]
Substituting the given values:
[tex]A = $145,000(1 + 0.05)^5[/tex]
Now, let's calculate the future value:
[tex]A = $145,000(1.05)^5[/tex]
A = $145,000(1.2762825)
A ≈ $185,061
The condominium will be worth approximately $185,061 in 5 years.