Answer:
f(g(1)) = - 2
Step-by-step explanation:
Find g(1) then use the value obtained to find f(x)
g(1) = 1 ← value of y when x = 1 (1, 1 ) , then
f(1) = - 2 ← value of y when x = 1 (1, - 2 )
Round 437,912 to the place value of the underlined digit.
O 437,900
437,000
o
438,000
437,000
Yeah
https://youtu.be/ipEbWgC-6nA
community gym charges a $50 membership fee ad a $55 monthly fee.
Help me please I don’t know what to do
A solution to a system
Is the point two lines cross each other.
3. The lines cross at y = 0 and x = 2, so the solution is x = 2
4. The lines do not cross so there are no solutions.
5. It looks like there is one line which means the two lines are identical so there are infinite solutions
Answer:
Step-by-step explanation:
3) y = x - 2
y = -x +2
Both lines are intersecting at (2 , 0).So, (2, 0) is the solution of the equations.
(2,0)
4) Both lines are parallel to each other and they will never intersect. So, it has no solution.
5) Both lines are coincide. So all points in the line are solutions of the equations.
Infinity solutions
X-3y=-3; ( ,4), (12, ) complete each ordered pair
Answer:
(9,4) and (12,5)
Step-by-step explanation:
x-3y=-3
y=4, x-3*4=-3, x=9. (9,4)x=12, 12-3y=-3, y=5. (12,5)The container that holds the water for the football team is 2/5 full. After pouring in 8 gallons of water, it is 2/3 full. How many gallons can the container hold?
9514 1404 393
Answer:
30 gallons
Step-by-step explanation:
Let c represent the capacity of the container. Then we have ...
2/5c + 8 = 2/3c
Multiplying by 15 clears the fractions:
6c +120 = 10c
120 = 4c . . . . . . . . subtract 6c
30 = c . . . . . . . . . . divide by 4
The container can hold 30 gallons.
_____
Additional comment
Often, you are told to "clear fractions" first when solving equations that involve them. Here, you can work directly with the fractions, if you like.
8 = (2/3c) -(2/5c) = 4/15c . . . . . find the difference of the fractions
8(15/4) = c = 30 . . . . . . . . . . . . . multiply by its inverse
How to divide using area model
Answer:
In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the or the and define the length and width of the rectangle.
We can break one large of the rectangle into several smaller boxes, using number bonds, to make the calculation easier. Then we add to get the area of the whole, which is the or quotient.
To multiply two 2-digit numbers, using the area model, follow the given steps:
Write the multiplicands in expanded form as tens and ones.
For example, 27 as 20 and 7, and 35 as 30 and 5.
Draw a 2 × 2 grid, that is, a box with 2 rows and 2 columns.
Write the terms of one of the multiplicands on the top of the grid (box). One on the top of each cell.
On the left of the grid, write the terms of the other multiplicand. One on the side of each cell.
Write the product of the number on the tens in the first cell. Then write the product of the tens and ones in the second and third cell. Write the product of the ones in the fourth cell.
write the product in the cell
Finally, add all the partial products to get the final product.
Here, for example, the area model has been used to multiply 27 and 35.
area model multiplication
Let us see how to find the product of 3-digit number by a 2-digit number using the area model.
Find the Product using Area Model
Let us now use the area model for the division. Here, we divide 825 by 5.
Area Model Division 1
Area Model Division 2
Fun Facts
The area model is also known as the box model.
The area model of solving multiplication and division problems is derived from the concept of finding the area of a rectangle. Area of a rectangle = Length × Width.
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Solve this question:Зх <-24
Answer:
x< - 8
Step-by-step explanation:
3x <-24
x < - 24
3
x< - 8
x < - 8
Step-by-step explanation:
3x < - 24
Divide 3 on both sides,
3x / 3 < - 24 / 3
x < - 8
After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay in Austria was contaminated by iodine 131 (half-life 8 days). If it is safe to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?
Given the data provided, it follows that the farmers must wait for 26 days before feeding the hay to cows.
What is half life?The term half life is defined as the time taken for half of the original amount of the radioactive sample to remain.
Now we know that;
half life = 8 days
Original amount = No
Amount left after t days = 0.1No
time taken = t days
Hence;
0.693/8 = 2.303/t log (No/0.1No)
0.087 = 2.303/t
t = 2.303/0.087
t = 26 days
Learn more about radioactivity: https://brainly.com/question/14356798
Will give brainliest answer
Answer:
Step-by-step explanation:
A(1) is the amount after 1 decade.
A(0.1) is the amount after 1 year.
Every year, the amount of CO₂ increases by a factor of 1.06^(0.1) ≅ 1.0058
True or false? If it is false, replace the underlined word with the correct word. (Constant is underlined) The constant term in a polynomial expression is a number that is not multiplied by a
variable.
Answer:
true
Step-by-step explanation:
what else would it be. that is exactly the reason why we have constants.
A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?
Answer:
20
that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw
Answer:
197 yards per game
Step-by-step explanation:
divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.
Which of the following ordered pairs
make this equation true?
y = x-3
A (3)
B. (1,-4)
C (2, 1)
D. (0, 3)
Answer:
D. (0, 3)
Step-by-step explanation:
Find the final amount of money in an account if $7, 200 is deposited at 2.5 % interest compounded
quarterly (every 3 months) and the money is left for 9 years.
The final amount is $
Round answer to 2 decimal places
The final amount is $7,615.27
A = P(1 + r/n)^t
Where,
A = Final amount
P = principal = $7, 200
r = interest rate = 2.5% = 0.025
n = number of periods = 4
t = time = 9 years
A = P(1 + r/n)^t
= 7,200(1 + 0.025/4)^9
= 7,200(1 + 0.00625)^9
= 7,200(1.00625)^9
= 7,200(1.0576769512798)
= 7,615.2740492152
Approximately,
A = $7,615.27
https://brainly.com/question/14003110
sample of 1800 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that 28% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim
Answer:
The p-value of the test is 0.0023 < 0.02, which means that there is sufficient evidence at the 0.02 level to dispute the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that 28% do not fail in the first 1000 hours of their use.
At the null hypothesis, we test that at least 28% do not fail, that is:
[tex]H_0: p \geq 0.28[/tex]
At the alternative hypothesis, we test if the proportion is of less than 28%, that is:
[tex]H_1: p < 0.28[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.28 is tested at the null hypothesis:
This means that [tex]\mu = 0.28, \sigma = \sqrt{0.28*0.72}[/tex]
Sample of 1800 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1800, X = 0.25[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.25 - 0.28}{\frac{\sqrt{0.28*0.72}}{\sqrt{1800}}}[/tex]
[tex]z = -2.83[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.25, which is the p-value of Z = -2.83.
Looking at the z-table, z = -2.83 has a p-value of 0.0023.
The p-value of the test is 0.0023 < 0.02, which means that there is sufficient evidence at the 0.02 level to dispute the company's claim.
PLS HELP
Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5
Answer:
y = - [tex]\frac{2}{3}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts
m = [tex]\frac{0-(-3)}{-4.5-0}[/tex] = [tex]\frac{0+3}{-4.5-0}[/tex] = [tex]\frac{3}{-4.5}[/tex] = - [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - [tex]\frac{2}{3}[/tex] x - 3 ← equation of line
The ratio of frogs to toads was 3 to 7. If there were 1280 frogs and toads in all, how many were frogs?
Answer:
348 frogs
Step-by-step explanation:
ratio = 3:7
total of ratio = 10
frogs = 3/10 × 1280 = 348 frogs
Answer:
let the ratio be 3x and 7x.
3x+7x=1280
10x=1280
x=128
Now
frogs =3x=3*128=384
toads =7x=7*128=896
45÷3(90÷2(6+3(19-16))))
simplify
Step-by-step explanation:
= 45÷3(90÷2(6+3(19-16))))
= 45÷3(90÷2(6+3×3)))
= 45÷3(90÷2(6+9)))
= 45÷3(90÷2×15))
= 45÷3(45×15)
= 45÷3×675
= 15×675
= 10125
hope it will help u
WILL GIVE BRAINLIEST ASAP
Answer:
Step-by-step explanation:
Order: NS 1,500 ml over 15 h. After 6 hours 1,200 ml remain in the bag. The facility policy indicates that flow rate adjustments may not exceed 25% of the original rate. Recalculate the flow rate so that the infusion will finish on time, and decide if the adjustment is within the guidelines.
Answer:
ask ya fadaaaaaaaaàaaa
Step-by-step explanation:
guvdhcjnhcxh
The midterm exam will have a total of 108 marks and there are twice as many 05 marks questions than 02 marks questions. Each question is worth either 02 marks or 05 marks”. Find out how many questions of each value there are in the online test?
Answer: 9 (2 mark question) and 18 (5 marks questions)
Step-by-step explanation:
Given: Total mark = 108
Let the 2 marks questions be x
Therefore 5 mark question = 2x
ATQ
⇒5(2x)+2(x) = 108
⇒10x+2x =108
⇒12x = 108
⇒x = 108/12
⇒x = 9
Total two mark questions are 9 and 5 mark questions are 18.
please click thanks and mark brainliest if you like :)
find the missing side. round your answer to the nearest tenth. PLEASE HURRY!
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24 / sin75 = 24.846628...
A job calls for installing 270 lighting fixtures. If 81 fixtures have been installed so far, what
percent of the job still has to be done?
Answer:
70%
Step-by-step explanation:
First find the ones that still need to be installed
270-81
189
Percent to be done = number to be installed / total
=189/270 =.7
Change to percent form = .7 *100% = 70%
A scuba diver is practicing
in a marked pool. He
begins 3 feet below the
surface of the water and
then dives down to the 9
foot marker. How far did
he dive?
Answer:
6ft
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
Turner has 6 pounds of pasta. Each time he makes dinner he uses 0.75 pound
of pasta. How many dinners can he make?
Your answer
Answer:
8
Step-by-step explanation:
if you have 6 pounds and you use 0.75 pounds per then you can make 6/0.75 dinners = 8
What is the quotient of the synthetic division problem below, written in
polynomial form?
5)2 1 -55
O A. -2x+11
O B. -2x+9
O C. 2x+11
O D. 2x+9
Answer:
C. 2x+11
Step-by-step explanation:
2x+11≈21 -55
2x+11≈21 -55
2x+11≈21 -55
2x+11≈21 -55
2x+11≈21 -55
Evaluate u + xy, if u = 18, x = 10, and y = 8.
Hi there!
[tex]\large\boxed{u + xy = 98}[/tex]
We can do substitution to solve.
We are given the values of all of the letters, so:
u = 18
x = 10
y = 8
Substitute:
(18) + (10)(8)
Use the order of operations:
18 + 80 = 98
Step-by-step explanation:
u + xy
make u = 18
x = 10
y = 8
18 + 10 × 8
18 + 80
= 98
I hope this answers your question
f(x) = (2x – 1)(3x + 5)(x + 1) has zeros at I = -
1
cole
2= -1, and x =
What is the sign of f on the interval
5
<<
3
เล
?
Choose 1 answer:
А
f is always positive on the interval.
B
f is always negative on the interval.
f is sometimes positive and sometimes negative on the interval.
Interval of function f(x) is sometimes negative and sometimes positive.
What is interval of function?The function interval is said to be positive if the value of the function f (x) increases with an increase in the value of x. In contrast, the function interval is said to be negative if the value of the function f (x) decreases with the increase in the value of x.
Given function,
f(x) = (2x – 1)(3x + 5)(x + 1),
Zeros of function,
x = 1/2 = 0.5
x = -5/3 = - 1.6667
x = -1
From the graph
Interval of function is negative between -∞ < x < -1.6667
Interval of graph is positive between -5/3 < x < -1
Interval of function is negative between -1 < x < 0.5
Interval of graph is positive 0.5 < x < ∞
Hence, f(x) has sometimes positive interval and sometimes negative interval.
Learn more about interval of function here:
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#SPJ1
please help i dont wanna fail
Answer:
4
Step-by-step explanation
Plug in the numbers for x and y.
4/4 ( 2 + (6) - (4))
Remove the parenthesis. Since 4/4 is equal to 1, you can put down 1 as well.
1 (2 + 6 - 4)
Distribute the 1. When anything is multiplied by 1, it remains the same.
2 + 6 - 4
Simplify.
4
[tex]\huge\boxed{\textsf{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{x}{4}(2 + y - x)}}[/tex]
[tex]\huge\boxed{\mathsf{= \dfrac{4}{4}(2 + 6 - 4)}}[/tex]
[tex]\huge\boxed{\mathsf{= 1(8 - 4)}}[/tex]
[tex]\huge\boxed{\mathsf{= 1(4)}}[/tex]
[tex]\huge\boxed{\mathsf{= 4}}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: 4}}\huge\checkmark[/tex]
[tex]\huge\boxed{\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}}[/tex]
~[tex]\huge\boxed{\boxed{\huge\boxed{\mathsf{Amphitrite1040:)}}}}[/tex]A new coffee shop is being built. Its location is the reflection of the arcade's coordinates across
the y-axis. Which procedure will find the correct distance between the arcade and the new coffee shop?( there is more than one answer)
Step-by-step explanation:
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please mark mep
please help me find the value of x
Answer:
x=10
Step-by-step explanation:
The whole figure is symmetric hence x=10
