Answer:
y= 0,4 x=0,3
Step-by-step explanation:
Can someone show me how to get x for both
Answer:
So since the sum of both is 13 because it shows both of the lines connected as a length of lines.
So we add them (14+x)+(x+15) = 13
14+2x+15 = 19+2x = 13
-6=2x
x=
-3
Step-by-step explanation:
What is the gradient of the line y 7x 3?
The given expression is of the form y=mx+c. Comparing, we get the slope as 7.
The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.
Given the expression is y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.
The complete question -
What is the gradient of the line y=7x+3?
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can someone help me out it would be great if u can explain it.
Answer:
113.1
Step-by-step explanation:
formula for circle is pie X radius^2
The weights of ice cream cartons are normally distributed with a mean weight of 12 ounces and a standard deviation of 0.5 ounce (a) What is the probability that a randomly selected carton has a weight greater than 12.31 ounces? (b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 12.31 ounces? (a) The probability is (Round to four decimal places as needed.)
The probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.
To calculate the probability that a randomly selected carton has a weight greater than 12.31 ounces, we can use the z-score and the standard normal distribution.
(a) Probability for a single carton:
Step 1: Calculate the z-score using the formula: z = (x - μ) / σ
Where:
x = 12.31 (the given weight)
μ = 12 (mean weight)
σ = 0.5 (standard deviation)
z = (12.31 - 12) / 0.5 = 0.62
Step 2: Find the probability associated with the z-score using a standard normal distribution table or a calculator. The probability of a weight greater than 12.31 ounces is equivalent to finding the area to the right of the z-score of 0.62.
Using a standard normal distribution table or calculator, the probability is approximately 0.2676.
Therefore, the probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.
Note: Make sure to round the result to four decimal places as requested.
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2: The only contents of a bag are 4
red balls and 6 blue balls. What is the
probability that two balls drawn at
random from the bag will be red if
the first ball drawn is not replaced?
Answer:
2÷15Step-by-step
the total number of balls in the in the bag is 10
Then
the probability of drawing a red ball on the first draw is 4/10.
…………………………………………………………
Now , if the first ball drawn is not replaced.
Then
the probability of drawing a red ball on the Second draw is 3/9.
……………………………………………
Conclusion:
the probability that two balls drawn at random from the bag will be red if the first ball drawn is not replaced is :
(4÷10)×(3÷9)
= (2÷5)×(1÷3)
= 2÷15
= 0.133333333333
Slope and y-intercept form from a table
Answer:
The y-intercept is 3
Gradient: 4
11-3= 8
2-0= 2
8/2= 4
Hope this helped!
(L8) Apply the 30º-60º-90º Triangle Theorem to find the length of the hypotenuse of a triangle if the length of the shorter leg is 4 inches.
The 30º-60º-90º Triangle Theorem states that the longer leg of a triangle is equal to the shorter leg multiplied by the square root of 3, and the hypotenuse is equal to twice the shorter leg.
Therefore, if the length of the shorter leg is 4 inches, the longer leg would be 4√3 inches, and the hypotenuse would be 8 inches.
To apply the 30-60-90 Triangle Theorem, remember the ratio of the sides is 1:√3:2. In this case, the length of the shorter leg is 4 inches (corresponding to the 30º angle). Since the ratio of the shorter leg to the hypotenuse is 1:2, simply double the length of the shorter leg to find the hypotenuse. So, the length of the hypotenuse is 4 × 2 = 8 inches.
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Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of
f(5) − f(1)?
Answer:
Step-by-step explanation:
By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that
f'(c) = [f(6) - f(1)]/ (6 - 1)
So, f(6) - f(1) = 5f'(c).
Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20
So, f(6) - f(1) is between 10 and 20.
At what rate per cent per annum will rs 6000 amount to rs 6615 in two years when interest is compounded annually?
Answer: 5%
Step-by-step explanation:
\(6615=6000(1+r)^{2} \\ \\ 1.1025=(1+r)^{2} \\ \\ 1.05=1+r \\ \\ r=0.05=\boxed{5\%}\)
Ana runs 3/4 mile in 6 minutes. Fill in the missing values in the table. Using the table, find the constant of proportionality. Then write the equation to represent this relationship.
1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.
2. The missing value in the table will be 7.5 miles and 8.75 miles.
What is constant of proportionality?It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.
1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:
y = kx
where y = distance
x = time
3/4 = 6x
0.75 = 6k
Divide
k = 0.75 / 6
k = 0.125
The constant of proportionality is 0.125.
2. The missing value in the table will be:
y = kx
when x = 60.
y = 60 × 0.125 = 7.5 miles.
y = kx
when x = 70
y = 70 × 0.125 =8.75 miles.
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Oliver estimates the weight of his cat to be 16 pounds. The actual weight of his cat is 14.25 pounds. What is the percent error of Olver's estimate? Round the percent to the nearest tenth if necessary.
ANSWER
The percent error is 10.9 %
EXPLANATION
The percent error is:
\(\text{ \% error}=\frac{|approx-exact|}{exact}\times100\)In this problem, the approximate value is 16 and the exact value is 14.25:
\(\begin{gathered} \text{ \% error}=\frac{|14.25-16|}{16}\times100 \\ \text{ \% error}=\frac{1.75}{16}\times100 \\ \text{ \% error}=0.109375\times100 \\ \text{ \% error}=10.9375\approx10.9\text{ \%} \end{gathered}\)Answer:
10.9%
Step-by-step explanation:
14.25/16 = 0.890625
0.890625 * 100 = 89.0625
1 - 89.0625 = 10.9375%
If the x-intercepts of a function are -2 and 6 the f(-2)= and f(6)= the x-intercepts -2 and 6 are called the _____ of the function
The x-intercepts -2 and 6 are called the "zeros" or "roots" of the function.
The x-intercepts of a function represent the values of x for which the function equals zero. In this case, the x-intercepts are -2 and 6. When a function equals zero at a specific x-value, it means that the function's output or y-value is zero at that point.The values f(-2) and f(6) represent the function evaluated at those specific x-values. Since the x-intercepts are the points where the function equals zero, we can conclude that:
f(-2) = 0
f(6) = 0
Therefore, the x-intercepts -2 and 6 are called the "zeros" or "roots" of the function.The x-intercepts of a function are the values of x for which the function equals zero. Geometrically, they represent the points where the graph of the function intersects the x-axis. At these points, the y-coordinate is zero.
In the given scenario, the x-intercepts of the function are -2 and 6. This means that when we substitute these values into the function, the result will be zero:
f(-2) = 0
f(6) = 0
When we evaluate the function at x = -2 and x = 6, we find that the corresponding y-values are both zero. This indicates that the function crosses the x-axis at those points.
The notation f(x) represents the output or value of the function at a specific x-value. So, f(-2) represents the value of the function when x = -2, and f(6) represents the value of the function when x = 6.
Since the y-values at these x-intercepts are both zero, we can conclude that f(-2) = 0 and f(6) = 0.
In summary, the x-intercepts, in this case, -2 and 6, are called the "zeros" or "roots" of the function because they are the points where the function equals zero. These points indicate where the graph of the function intersects the x-axis.
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Which expreion have a quotient of 6? Select all that apply. 0. 48 ÷ 0. 8
4. 8 ÷ 8
0. 48 ÷ 0. 08
4. 8 ÷ 0. 8
4. 8/0. 8
Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.
What is quotient?
In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
0. 48 ÷ 0. 8
=0.06
The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6
The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.
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Find the measure of the arc or angle indicated.
Answer: The correct is 114
Step-by-step explanation: Hope this helps
6. Enrico is filling his pool. The pool has 3,000 gallons of water in it now. The water hose that Enrico uses puts 500 gallons per hour into the pool. Write an equation for the number of gallons y of water in the pool after x hours. Identify the slope and the y-intercept.
Answer:
equation: y = 500x + 3,000
Step-by-step explanation:
The slope is 500 because it is gaining 500 gallons of water every hour. The y-intercept is 3,000 because the pool started off with 3,000 gallons in it.
Find the missing number 390 x _ = 390,000 O A. 102 OB. 103 < O C. 104 O D. 105
We have 390 and we want to find the number thart multiplied by it, will result in 390,000
If we count how many zeros of diffrence between 390 and 390,000 we have, we will notice that:
\(\text{ 390 }\Rightarrow\text{ 390 , 000 (Exactly 3 zeros at the right more)}\)Therefore, the solution should be 1,000 because:
390 * 1,000 = 390,000
\(Thefirstsolutiongivenis10^2\text{ or 10 }\cdot\text{ 10 = 100. This isn't the solution.}\)\(\text{ The second solution we have is 10}^3\text{, that is 10}\ast\cdot\text{ 10 }\ast\text{ 10 = 1,000.}\)This is the solution we are looking for. Correct answer is B.
how much more or less we’re the penders total expenditures for the month of july than the amount they had budgeted
The Penders' total expenditure for the month of July is $126.45 less than the amount they had budgetd.
How do you solve for Penders' total expenditures for the month of July?To solve for total expenditure, we total the amount of money spent for the month and minus it by the total amount of money budgeted for the month. Or you some the balance.
9. How much more or less were the Penders' total expenditures for the month of July than the amount they had budgeted? (2 points)
Expense Summary for Paul and Diana Pender for the Month of July 20
Amount B. Amount S. Difference
(Food/Groceries)
Food/Groceries $290.00 $302.60 a. -12.6
(Household Expenses)
Electricity $45.00 $44.35 b. 0.65
Heating $80.00 $0.00 c 80
Cell Phone $35.00 $35.00 d. 0
Water $24.50 $31.70 e. -7.20
Cable/Internet $95.00 $95.00 f 0
(Transportation)
Gasoline/Oil $85.00 $101.70 g -16.7
Parking/Tolls $70.00 $50.00 h. 20
(Personal)
Clothing $60.00 $31.75 i 28.25
Credit Card(s) $50,00 $60.00 j -10
Pocket Money $80.00 $93.75 k. -13.75
(Entertainment)
Movies/Theater $20.00 $35.00 L -15
Sporting Events $65.00 $32.00 m. 33
Recreation $22.00 $63.80 n. -41.80
Dining Out $140.00 $158.40 o. -18.40
(Fixed)
Rent/Mortgage $625.00 $625.00 p. 0
Furniture $125.00 $125.00 q 0
Savings $250.00 $150.00 r 100
Contributions $8.33 $8.33 S. 0
$2169.83 $2042.38
$290 + $45 + $80 + $35 + $24.50 + $95 + $85 + $70 + $60 + $50 + $80 + $20 + $65 + $22 + $140 + $625 + $125 + $250 + $8.33 = 2169.83
$302.60 + $44.35 + $0 + $35 + $31.70 + $95 + $101.70 + $50 + $31.75 + $60 + $93.75 + $35 + $32 + $63.80 + $158.40 + $625 + $125 + $150 + $8.33 = 2043. 38
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the lengths of fish in a neighborhood pond are normally distributed with a mean of 5 inches and a standard deviation of 1.2 inches. what is the probability that a sample of 10 randomly selected fish will have a mean length of of over 6 inches?
According to the given standard deviation, the probability that a sample of 10 randomly selected fish will have a mean length of over 6 inches is 0.0188 or 1.88%.
In this problem, we want to find the probability of the sample mean being greater than 6 inches. We can calculate this by standardizing the sample mean using the formula:
z = (x - μ) / (σ / √n)
Where z is the standard normal variable, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the given values in the formula, we get:
z = (6 - 5) / (1.2 / √10)
z = 2.10
Now, we can use a standard normal table or calculator to find the probability of z being greater than 2.10. The probability of z being greater than 2.10 is approximately 0.0188 or 1.88%.
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question how many of u have watched a whisker away on netflix
To improve the safety of motorists, modern cars are built so that the front-end crumples upon impact. A 1200 kg car is travelling at a constant velocity of 8 m/s. It hits a wall and comes to a complete stop. If the wall exerts a force of 38000 N on the car, how long would it take the car to come to rest?
The required time that took the car to stop is 0.25 seconds.
Given that,
A 1200 kg car is traveling at a constant velocity of 8 m/s. It hits a wall and comes to a complete stop. If the wall exerts a force of 38000 N on the car, how long would it take the car to come to rest is to be determined.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
u = 8
V = 0
force = 38000
m = 1200
Calculating accelartion, by newton's second law,
force = ma
38000 = 1200a
a = 31.6,
Applying the first equation of motion,
v = u + at
0 = 8 + -31.6t [took negative because the acceleration is in opposite direction]
8/31.6 = t
t = 0.25
Thus, the required time that took the car to stop is 0.25 seconds.
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Josh has a spinner that is divided into 4 equal sections. The sections are colored blac
red, white, and orange. If Josh spins the spinner once, what is the probability it will sto
on the orange section?
3
0
-1
1
Done
The probability that the spinner lands on orange is P ( O ) = 1/4 = 25 %
We have,
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
The total number of sides for the spinner = 4
Since the spinner is divided into 4 equal sections, each section has an equal chance of being landed on
Therefore, the probability of spinning orange is 1 out of 4, or 1/4, which is equivalent to 25%
We can express this probability as:
P(orange) = 1/4
Hence , the probability that Josh spins orange is 1/4 or 25%
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The marked price of an article i 2080. After allowing d% dicount and levying (d-2)% VAT, the cot of the article become R. 1997. 84. Find the dicount amount and VAT amount
The marked price of an article is 2080 . Discount: 2080-1997.84 = 82.16, VAT: (2080-82.16)*(d-2)/100 = 1997.84-2080.
Let's call the discount amount "D". We know that the marked price of the article is 2080, and the discount is "d%", so we can calculate the discount amount as
D = 2080 * (d/100).
Next, let's call the VAT amount "V". The VAT is calculated as (d-2)% of the price after discount, which is 2080 - D. So, we can calculate the VAT as
V = (2080 - D) * ((d-2)/100).
Now, we know the total cost of the article after discount and VAT is 1997.84, so we can write an equation using the variables D and V:
1997.84 = 2080 - D + V
Expanding the right-hand side using the definitions of D and V:
\(1997.84 = 2080 - (2080 * (d/100)) + (2080 - (2080 * (d/100))) * ((d-2)/100)\\1997.84 = 2080 - 2080 * (d/100) + 2080 * (1 - (d/100)) * ((d-2)/100)\\1997.84 = 2080 - 2080 * (d/100) + 2080 * (1 - (d/100)) * ((d-2)/100)\\1997.84 = 2080 * (1 - (d/100) + (1 - (d/100)) * ((d-2)/100))\\1997.84 = 2080 * (1 - (d/100) + (100 - d)/100 * (d-2)/100)\\1997.84 = 2080 * (1 - (d/100) + (100 - d)/100 * (d-2)/100)\\\)
\(1997.84 = 2080 * (1 - d/100 + (100-d)/100 * (d-2)/100)\\1997.84 = 2080 * (1 - d/100 + (100-d)/100 * (d-2)/100)\\1997.84 = 2080 * (1 - d/100 + (100-d) * (d-2)/10000)\\1997.84 = 2080 * (1 - d/100 + (100-d) * (d-2)/10000)\\1997.84 = 2080 * (1 - d/100 + (100-d) * (d-2)/10000)\)
\(1997.84/2080 = 1 - d/100 + (100-d) * (d-2)/10000\\1997.84/2080 = 1 - d/100 + (100-d) * (d-2)/10000\\1997.84/2080 = 1 - d/100 + (100-d) * (d-2)/10000\\1997.84/2080 = 1 - d/100 + (100-d) * (d-2)/10000\\\)
Solving for d, we can find the discount percentage and use it to find the discount and VAT amounts.
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The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
Write a function that gives the lion population size, P(t)P(t)P, left parenthesis, t, right parenthesis, ttt years from today.
Answer:
\(P(t) = 200\cdot 0.95^t\)
Step-by-step explanation:
The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
Write a function that gives the lion population size,
Each year, the population drops to 95% of its previous value. (100 - 5)%
That is, the population is multiplied by 0.95 each year.
Repeated multiplication is signified by an exponent.
Here, that exponent is the number of years from today (t).
There fore, The population function can be written as ... P(t) = 200·0.95^t\(P(t) = 200\cdot 0.95^t\)Answer:
200 x 0.95(t)
Step-by-step explanation:
if 3 painters can paint a house in 12 hours. how long would it take for 4 paintets to paint the house
If three painters can paint a house in 12 hours, it would take four painters less time to complete the job. However, the exact duration can be determined by applying the concept of "painter-hours" to compare the work rates.
To determine the time required for four painters to complete the task, we can consider the concept of "painter-hours." The work rate of three painters is equivalent to 3 painters multiplied by 12 hours, resulting in 36 painter-hours to complete the job. This means that three painters working together can complete 36 units of work in 12 hours.
To calculate the time required for four painters to complete the same amount of work, we divide the total painter-hours (36) by the number of painters (4). This gives us 9, which represents the number of hours it would take for four painters to finish the job. Therefore, with the increased workforce of four painters, the house can be painted in 9 hours.
It is important to note that this calculation assumes that the work rate remains constant and that the painters are equally skilled and efficient. Additionally, other factors such as the size and complexity of the house, the type of paint, and the condition of the surfaces may influence the actual time required for completion.
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FIND THE VALUE OF X
30 points
4 mins left
Answer:
Maybe 143 degrees i dont know
Step-by-step explanation:
thought that cause 180 - 37 is 143
if not sorry
A group of friends were working on a student film that had a budget of $1500. They used $1200 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
80%
Step-by-step explanation:
1200/1500
12/15 = 0.8
80%
Do u know this? Answer if u do
Answer:
Your answer is correct.
Step-by-step explanation:
When we have a product on one side of the equation and 0 on the other, we'd be looking to find when either of the parts of the product zeroes out. This is due to the fact that multiplying anything by 0 returns 0, therefore we're looking to find when any of the parts are 0, meaning that side of the equation would be zero.
In our product, the parts of the product are (3n + 7) and (n - 4). To find n, we'll find when both of these items are equal to zero:
\(3n + 7 = 0\\3n = -7\\n = -\frac73\)
\(n - 4 = 0\\n = 4\)
Therefore, n is either -7/3 or 4.
12 10 9 8 7 6 5 t 3 2 1 2 3 4 5 6 7 8 9 Which point represents the outlier? OA. (2,3) (4.5) (3, 13) OD. (8,9) C. 10 11 12
Answer:
3, 13
Step-by-step explanation:
(3,13)
Answer: (3,13)
Step-by-step explanation:
logp(5) = x, logp(7) =y
Write logp([5p^2]/49) in terms of x and y
The expression is x+2-2y
It is given to us that logp5=x and logp7=y
Now we are required to find logp(5p^2)/49 in terms of x and y
we know that in logarithmic formulas
loga^b=b loga
logab = log a+log b
log a/b= log a- log b
Now using these formulas to find the solution,
logp 5p^2/49
= logp5+ logp p^2 -log 49
=logp5+2 logpp-2log7
we know that logpp=1,hence
= logp5+2 -2 logp7
=x+2-2y
Hence the expression is x+2-2y
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The Alden Middle School girls' soccer team won 80% of its games this season. If the team won 12 games,how many games did it play?
Answer:
15 games
Step-by-step explanation:
Since the team won 80% of the games and won 12, we can put these into an equation.
80% is also 0.8 so:
x * 0.8 = 12
To find x we can simply do 12 divided by 0.8 which equals =
15