Jackson is scuba diving on a hunt for sunken treasure. He dives down 450 meters, then gets nervous and
ascends back up 323.4 meters. After taking a minute to regain his condence, he then dives down another 101.1
meters. How far is he from the surface now?
Answer:
227.7
Step-by-step explanation:
450
-323.4
-----------------
126.6
126.6
+ 101.1
---------------------
227.7
2) | 10+ 9 | - 6-23
Absolute value
solve for m KLM. i have no idea how to do this
Answer:
75
Step-by-step explanation:
just add them up to get the angle
how do you find answer to 9/35 - 1/5?
Answer:
2/35
Step-by-step explanation:
\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)
x + 121 = 4x - 20 what is x
Answer:
x = 47
Step-by-step explanation:
x + 121 = 4x - 20
-3x + 121 = - 20
-3x = -141
x = 47
So, the answer is x = 47
Fred is (x-1)years old now. how old is he if his age in 8 years time will be three times his age 4 years ago
Answer: Fred will be 3(x-5) years old in 8 years, which is 3x-15 years old.
We know that x-1=3x-15, so x=16.
Fred is 16 years old now.
Step-by-step explanation:
Fred's age four years ago was (x - 5), Fred will be (x+7) years old in 8 years. Fred is currently eight years old.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that Fred is (x-1) years old
i) Fred age 4 years ago
Subtract 4 years from the present age
x -1 - 4
x - 5
So, Fred's age 4 years ago is (x - 5)
ii) Add 8 years to the present age
(x-1) + 8
(x+7)
So, Fred's age after 8 years from now is (x+7) years
iii) By the given statement
⇒ (x+7) = 4 [ x - 5 ]
We can then solve for x by expanding the right side of the equation:
⇒ x + 7 = 4x - 20
Then, we can combine like terms to get:
⇒ 4x - x = 20 + 7
⇒ 3x = 27
⇒ x = 9
Fred's present age = (x-1) = 9 - 1 = 8 years
Thus, Fred's current age is 8 years.
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The question seems to be incomplete the correct question would be:
Fred is (x-1) years old now How old: (1) was he 4 years ago. (ii) will he be 8 years from now? (ii) is he now, if his age in 8 years time will be three times his age 4 years ago?
Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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A family buys an apartment for 200000. They pay a down payment of 20000. Their down payment is what percent of the purchase price
Answer:
the down payment of 20000 is 10% of the purchase price of 200000.
Step-by-step explanation:
To calculate the percentage of the down payment to the purchase price, you can use the following formula:
(down payment / purchase price) x 100
So in this case:
(20000 / 200000) x 100 = 0.1 x 100 = 10
Therefore, the down payment of 20000 is 10% of the purchase price of 200000.
Given f(x)=4x2+19x−5 and g(x)=4x2−x.
What is (fg)(x)?
Responses
x+5x where x≠0, 14
fraction numerator x plus 5 end numerator over denominator x end fraction, where , x not equal to 0 comma one fourth
xx+5 where x≠0, 5
fraction numerator x over denominator x plus 5 end denominator end fraction, where , x not equal to 0 comma 5
−x19x−5 where x≠0, 519
fraction numerator negative x over denominator 19 x minus 5 end denominator end fraction, where , x not equal to 0 comma fraction numerator 5 over denominator 19 end fraction
−19x+5x where x≠0, 14
The expression (fg)(x) is equal to 16x^4 + 72x^3 - 39x^2 + 5x.
To find (fg)(x), we need to evaluate the product of f(x) and g(x).
First, let's express f(x) and g(x) explicitly:
f(x) = 4x^2 + 19x - 5
g(x) = 4x^2 - x
Now, we can calculate their product:
(fg)(x) = f(x) * g(x)
= (4x^2 + 19x - 5) * (4x^2 - x)
To simplify the expression, we can use the distributive property and combine like terms:
(fg)(x) = 4x^2 * 4x^2 + 4x^2 * (-x) + 19x * 4x^2 + 19x * (-x) - 5 * 4x^2 - 5 * (-x)
Expanding and collecting like terms:
(fg)(x) = 16x^4 - 4x^3 + 76x^3 - 19x^2 - 20x^2 + 5x
Combining like terms:
(fg)(x) = 16x^4 + 72x^3 - 39x^2 + 5x.
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Write four hundred eighty-five thousandths as a decimal number.
Answer:
0.485
Step-by-step explanation:
What was calvin's score for the three games
Answer:
I think the answer is -4 .
Step-by-step explanation:
Let me know if it's right or wrong.
Please help me thank you I appreciate it
Answer:35 degrees
Step-by-step explanation:
Answer:
angle KLN° + angle NLM° =180° ( l.p)
angle NLM°=180°-145°
angle NLM=35°
help 5 start rating helpp\ plzzzzz
Answer:
hwbqjakakakakakakamamakjajajq
Caulcualte the Area of the triangle
Answer:
7
Step-by-step explanation:
7×2 then Divide by 2.......
what is the different between 50g and 125g
Answer:
75grams is the difference
Step-by-step explanation:
What is the value of x
Answer:
your answer is 20.
Step-by-step explanation:
x^2+4^2=(2+x)^2
The side length of a triangle are given by the expression 3x+6, 6x-2, and 4x+3 write and simplify a linear expression for the perimeter of the triangle
A small cube's edges are 2.5 inches long. A large cube's edges are 5 inches long. How many small cubes would it take to fill the large cube?
It would take 64 small cubes to fill the large cube. This is because the volume of a cube is equal to the length of its edges.
What is volume?The amount of space occupied by an object or the amount of space an object can fill. It is usually expressed in cubic units, such as cubic centimeters or cubic meters.
This is because the volume of a cube is equal to the length of its edges cubed, or V = s³, where s is the length of the edge.
We can calculate the volume of the large cube by replacing the length of its edges with 5 inches, or V = 53 = 125 in³.
To find the number of small cubes, we must first figure out the volume of a single small cube.
We can do this by replacing the length of the small cube's edges with 2.5 inches, or V = 2.53 = 15.625 in³
We can then divide the volume of the large cube (125 in³) by the volume of the small cube (15.625 in³) to get the number of small cubes needed to fill the large cube, which is equal to
125 / 15.625 = 8 * 8 = 64.
Therefore, it would take 64 small cubes to fill the large cube.
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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
Is the area of a room measured in cm2 or m2
Answer:
m² would be the best unit if you want to measure a room.
Step-by-step explanation:
The unit cm² is too small and would be less exact.
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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1. How many telephones per 100 inhabitants did Bermuda have?
2. In 2005, the population of Luxembourg was 470,000. How many telephones were in use in Luxembourg?
Please help with two questions!!!
In Bermuda, there are a total of 90 telephones for each 100 people. Also there are a total of 3,76,000 telephones in use in Luxembourg according to simple calculations.
Here, they given that a telephone symbol is equal to 5 telephones.
Then according to the given diagram,
1. There are:
= (5 + 5 + 5 + 3) 5 telephones
= ( 18 ) 5 telephones
= 90 telephones.
Therefore, there are a total of 90 telephones for each 100 people.
2. In 2005, the population of Luxembourg was 470,000.
According to the given diagram, there are 80 telephones available for every 100 people.
For 4,70,000:
100 -------------- 80
4,70,000 ------ (x)
After cross multiplication,
x * 100 = 80 * 470000
x = 8 * 47000
x = 3,76,000
Therefore, there are total of 3,76,000 telephones in use in Luxembourg.
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Homework: Ch 5.2 Practice A - MyLab
Score: 0 of 1 pt
1 of 3 (0 complete)
5.2.13
Assume a member is selected at random from the population represented by the graph Find the probability that the
member selected at random is from the shaded area of the graph Assume the variable x is normally distributed
SAT Critical Reading Scores
Q
200
510
0121
os
200
375
800
Score
The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed)
Question Viewer
Enter your answer in the answer box and then click Check Answer
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0•1/91+1/1+1•1/91+2•1/91+...+90•1/91 pls help!!
Answer:
it is 2.021978 or 184/91
heart if this helps
It's 2.021978 or 184/91
Evaluate the expression when
a = 0.3
b = 0.5
c = 0.25
5a - 7b + 6c
Answer:
-3.5
Step-by-step explanation:
5(.3) - 7(.5) + 6(.25) = 1.5 - 3.5 + 1.5 = -3.5
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
Help me please quickly
Answer:
the are of the triangle is 216
Step-by-step explanation:
3x9 is 27 27x8 is 216
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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A farm sells oranges in 3-1b bags for $3.75. What equation represents the
cost, c, for p pounds of oranges? *
C = 1.25p
p = 1.250
c = 3.75p
p = 3.750
HELLPP MEEEE
Cost is $3.75 for 3 pounds
C is the answer