the value of current is I = 0.05 amps
the value of voltage is V =0.6
we know the ohms law
V = I x R
0.6 = 0.05 x R
R = 0.05/0.6
R = 0.083 ohms
thus, the answer is 0.083 ohms
Evangeline has 3/5 of a box of nuts. She uses it to fill 6 bowls. What fraction of the box does she put in each bowl
Answer:
Step-by-step explanation:
we will divide 3/5 by 6
(3/5)/6=3/30=1/10
1/10 in each bowl
8 in.
4 in.
13 in.
Find the area of a trapezoid
Answer:
the area is 68
Step-by-step explanation:
Which function is decreasing on the same interval as the function graphed here?
f (x)
61
N
-2
O A.
O B.
O c.
O D
4
2
-2
10
-41
2
A.
★
k (2) = -2x2 – 82 + 5
भ
Ko
j (±) = 22 + 4 – 4
=
9 (‡) = 322
- 12x + 18
h (x) = 2x2 + 8x + 3
The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.
To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.
Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.
Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.
Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).
Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).
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Write the equation of the line that passes through the points (-6, 4) and (-3, -2).
Answer:y=2x+4
Step-by-step explanation:
y2-y1/x2-x1
-2-4/-3-6
-6/-3
=2
y=2x+c
substitute one of the point into the formula y=mx+c
im choosing-3,-2
-2=2(-3)+c
-2=-6+c
c=4
y=2x+4
hope this helps
What is 56x92.2÷3?
Answer this fast for brainliest
Plz help
Answer:
1721.06666667
Step-by-step explanation:
Answer:
1795.73333333
Step-by-step explanation:
hope this helps
An army camp had a food provision of 35 days for 800 soldiers on the first day of the month. On
the same day, some of the soldiers were transferred to another camp. The food provision lasted for
50 days for the remaining soldiers. How many soldiers were transferred to the other camp?
(Assume that each soldier consumes equal quantity of food per day.)
240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.
Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.
After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.
Since the amount of food remains the same, we can set up the following equation:
\(28,000 = (800 - x) * 50\)
Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:
\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)
By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.
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The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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Suppose $50,000 is divided into two bank accounts. one account pays 4% simple interest per year and the other pays 6.4%. after five years there is a total of $12,000 in interest between the two accounts. how much was invested into the bank account that pays 6.4% simple interest (rounded to the nearest cent)?
Answer:
$33333.33
Step-by-step explanation:
Suppose x invested into the bank account that pays 4% simple Interest
5x4%x+5x6.4%(50000)= 12000 { The interest due is equal to interest}
4x+6.4x50000-6.4x=240000
2.4x=80000
x=33333.33
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
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Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
You work at a sporting goods store and make commissions on the products you
help sell. If you earn a 5.5% commission on all regular priced items, and a 4.5%
commission on all items on sale, how much do you earn in a week where you sell
$8,800 worth of regular goods, and $10,650 worth of items that are on sale?
Answer:
963.25
Step-by-step explanation:
8,800x0.055=484
10,650x0.045=479.25
484+479.25=963.25
A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 50% magical syrup by volume (and the rest is just water), and blue potion, which is 10% magical syrup by volume. (Perhaps you're wondering how the same syrup can produce both red and blue potions. That's why it's magic syrup!)
(a) Find the amount of red potion (in mL) that must be added to 200 mL of blue potion in order to produce potion that is 30% magical syrup by volume.
(b) Find the amounts of red potion and blue potion (in mL) that can be combined in order to produce 150 mL of a potion that is 30% magical syrup by volume.
(c) Does there exist a combination of red potion and blue potion that can produce a potion that is 20% magical syrup by volume?
Answer:
Step-by-step explanation:
its a
Terri buys five and seven-eighths ounces of chocolate chips. She uses four and four-sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
Answer:
1 5/24 ounces--------------------------
Find the difference of the initial and used amounts:
5 7/8 - 4 4/6 = 5 - 4 + 7/8 - 4/6 = Combine whole and fraction parts1 + 7/8 - 2/3 = Simplify1 + 21/24 - 16/24 = Common denominator is 241 + 5/24 = Convert to mixed fraction1 5/24A legal document contains pages numbered 1 through 50. What is the probability that the lawyer will flip to a page number
that is not a multiple of 4?
• Write your answer in fraction form. Reduce the fraction if necessary.
Provide your answer below:
Using it's concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:
\(p = \frac{19}{25}\)
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:
\(p = \frac{38}{50} = \frac{19}{25}\)
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Need help ASAP!
Write a formula for the distance from A (-1, 5) to P (x, y), and another formula for the distance from P (x, y) to B (5, 2). Then write an equation that says that P is equidistant from A and B. Simplify your equation to linear form. This line is called the perpendicular bisector of AB. Verify this by calculating two slopes and one midpoint.
Thanks!
Answer:
Step-by-step explanation:
A=(-1,5)
B=(5,2)
P=(x,y)
AP²=(x+1)²+(y-5)²=x²+2x+1+y²-10y+25
BP²=(x-5)²+(y-2)²=x²-10x+25+y²-4y+4
AP²=BP² ==> 12x-6y=3 or y=2x-1/2
Proof:
\(AB\ slope=\dfrac{2-5 } { 5+1 } =-\frac { 1 } { 2 } \\\\perpendicular\ slope =2\\\\middle\ of\ AB=(2, \frac{7}{2} )\\\\perpendicular\ bisector:\ y-\frac{7}{2} =(x-2)*2\\\\y=2x-\dfrac{1}{2} \\\\\)
What’s the correct answer for this question?
Answer:
y = 1/-20 (x-2) - 5
Step-by-step explanation:
Focus = (a,b) = (2,-4)
So a = 2, b = -4
Directrix: y = -6
But y = k
So k = -6
Finding Standard Form of Equation for parabola
y = (1/2(b-k))(x-a)²+(1/2)(b+k)
y = (1/2(-4-6))(x-2)+(1/2)(-4-6)
y = (1/2(-10))(x-2)+(1/2)(-10)
y = (1/-20)(x-2)+(-5)
y = 1/-20 (x-2) - 5
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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Makayla’s local movie theater has a moviegoer club. The charts in the annual registration fee of $25. However movie tickets are discounted remembers at six dollars per ticket instead of the regular nine dollars per ticket. Let him represent the number of movie tickets Makayla’s purchase a need to write a function tomorrow the amount of money Makayla spent going to the movies doing the club
Answer:
m = 25 + 6n
Step-by-step explanation:
To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.
Please help me solve this I will give you brainliest.
Answer:
j <= 13
Step-by-step explanation:
10j <= 130
j <= 130/10
j <= 13
what is a counterexample to this claim?
Dividing a number by two always results in a smaller number.
A. the number is 8
B. the number is 5.
C. the number is 2
D. the number is 1.
E. the number is -1
Answer:
E. the number is -1
Step-by-step explanation:
We can go through all of these to see whether or not dividing by 2 results in a smaller number, then select the option that results in a larger number.
First, we'll look at A. 8 ÷ 2 = 4, which is smaller than 8, so this can't be the answer. Next, B. 5 ÷ 2 = 2.5, which is smaller than 5. We'll next look at C. 2 ÷ 2 = 1, and 1 is smaller than 2.
Alright, moving on to D. 1 ÷ 2 is 1/2 or 0.5, which is smaller than 1, and finally we'll take a look at E. -1 ÷ 2 = -1/2 or -0.5, which is indeed greater than -1, so we can deduce that this is the answer.
Let me know if you have any more questions! :)
6x^2-18x-18=6
CAN SOMEONE EXPLAIN PLS
What best determines whether a borrowers interest rate on an adjustable rate loan goes up or down
The thing that t best determines whether a borrowers interest rate on an adjustable rate loan goes up or down is: C. A market's condition.
What is market condition?Market conditions help to show how the state of an economy or how good or bad the economy of a nation is.
Market condition help to show the state of affairs of a nation economy as well as the overall situation that a market is facing at a particular period of time.
Therefore we can conclude that market condition can tend to show if a borrowers interest rate on an adjustable rate loan goes up or down.
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The complete question is:
What best determines whether a borrower's investment on an adjustable rate loan goes up or down?
a fixed interest rate
a bank's finances
a market's condition
a person's finances
Select all the partial products for
9
×
813
.
A.
12
B.
27
C.
90
D.
900
Answer:
ok639010 is the answer of the day when I am in the toilet
log (x + 20) – log (x + 1) = log 18
- Rewrite the given equation without logarithms.
Can someone help me and can y’all show me how you got the answer
Answer:
x = -8
Step-by-step explanation:
Step 1: Write equation
1/2x + 13 = 9
Step 2: Solve for x
Subtract 13 on both sides: 1/2x = -4Multiply both sides by 2: x = -8Step 3: Check
Plug in x to verify it's a solution.
1/2(-8) + 13 = 9
-4 + 13 = 9
9 = 9
Answer:
-8
Step-by-step explanation:
you use inverse operation
meaning opposite signs
subtract -13 from 13 cross it out
subtract 13 from 9
you get 1/2x=-4
divide 1/2 on both sides
-4 divided by 1/2 =-8
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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While scuba diving, Rajeev dove to a depth of 12.6 feet below the surface of the water and then descended another 8.7 feet. What expression can be used to find Rajeev’s new position?
12.6 – 8.7
–12.6 – 8.7
–12.6 – (–8.7)
12.6 – (–8.7)
Answer:
the answer is 16/20 feet oooooooooooo
A father's age is 4 times as that of his son's age. in 5 years time, the father will be 3 times as old as his son. what are their present ages?
Answer:
present age of son = 10 present age of father = 40Step-by-step explanation:
Let, present age of son be 'x'
present age of father be 'y'
y = 4x→ equation ( i )
After five years,
Son's age = x + 5
father's age = y + 5
According to Question,
\(y + 5 = 3(x + 5)\)
Put the value of y from equation ( i )
\(4x + 5 = 3(x + 5)\)
Distribute 3 through the parentheses
\(4x + 5 = 3x + 15\)
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S. and change its sign
\(4x - 3x = 15 - 5\)
Collect like terms
\(x = 15 - 5\)
Calculate the difference
\(x = 10\)
Now, put the value of X in equation ( i ) in order to find the present age of father
\(y = 4x\)
plug the value of X
\( = 4 \times 10\)
Calculate the product
\( = 40\)
Therefore,
Present age of son = 10
present age of father = 40
Hope this helps..
Best regards!!