Make x the subject of the formula 5(c-bx=10
Answers
Answer:
Open the bracket
then factorise
make the column with X to be the subject
therefore divide both sides by 5b which will give you
X=(5C-10)÷5b
Related Questions
Find the directional derivative of the function at the given point in the direction of the vector v.f(x, y) = 3ex sin y, (0, π/3), v =leftangle0.gif−5, 12rightangle0.gifDuf(0, π/3) =
Answers
The directional derivative of the function f(x, y) = 3ex sin y at the point (0, π/3) in the direction of the vector v = <0, -5, 12> is -15/26.
To find the directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector v = <u, v>, we use the following formula:
Dv(f)(a, b) = ∇f(a, b) · v
where ∇f(a, b) is the gradient of f(x, y) at the point (a, b). The gradient is a vector that points in the direction of the steepest increase of the function and has a magnitude equal to the rate of change of the function in that direction.
In this problem, our function is f(x, y) = 3ex sin y, and the point is (0, π/3). The gradient of the function is:
∇f(x, y) = <∂f/∂x, ∂f/∂y> = <3ex sin y, 3ex cos y>
Evaluating the gradient at the point (0, π/3), we get:
∇f(0, π/3) = <3e0 sin (π/3), 3e0 cos (π/3)> = <0, 3/2>
Next, we need to find the unit vector in the direction of v = <0, -5, 12>. To do this, we first find the magnitude of v:
|v| = √(0² + (-5)² + 12²) = 13
Then, we divide v by its magnitude to get the unit vector:
u = v/|v| = <0, -5/13, 12/13>
Finally, we can use the formula for the directional derivative to find Dv(f)(0, π/3):
Dv(f)(0, π/3) = ∇f(0, π/3) · u = <0, 3/2> · <0, -5/13, 12/13> = -15/26
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In which part of the graph is the distance from home constant?
Distance from home
5
4
Time
O A. 4
O B. 2.
O C. 3
O D. 1
Answers
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of negative 35.84 degrees Upper C and a boiling point of 310.69 degrees Upper C . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state? (Hint: Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis ) Express the range as an inequality. Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid state? nothing (Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
Answers
Answer:
96.512 °F < x < 591.242 °F
Step-by-step explanation:
We are given;
Melting point = 35.84 °C
Boiling point = 310.69 °C
Now, we are given that formula to convert °C to °F is;
°C = (5/9)°F
Thus if the temperature in Fahrenheit is x, then;
Melting point is; 35.84 °C = (5/9)x°F - "32"
x = ((9 × 35.84)/5) + 32
x = 96.512 °F
Similarly, for Boiling point;
Boiling point is;
310.69 °C = (5/9)x°F - "32"
x = ((9 × 310.69)/5) + 32
x = 591.242 °F
Now, we are told that matter is in its liquid form when it is between melting and boiling point.
Thus, range of x in inequality form is;
96.512 °F < x < 591.242 °F
What is the percentage strength of neomycin in the final compounded product? (Answer must be numeric; no units or commas; include a leading zero when the answer is less than 1; round the final answer to the nearest ONE DECIMAL PLACE.)Rx:Neomycin (5%) cream 30gPolymyxin B 20gHydrocortisone 10gMix the ingredients to make a smooth creamSig: apply to affected area BID
Answers
The percentage strength of neomycin in the final compounded product is approximately 2.5%.
To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.
Neomycin (5%) cream: 30g
The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:
Weight of neomycin = 30g × 0.05 = 1.5g
Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:
Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100
Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5
Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answers
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
Buys a new car for $25,300. The car depreciates exponentially at a rate of 7. 5% per year. How much is the car worth after six years?
Answers
The car is worth approximately $14,488.57 after six years of depreciation at a rate of 7.5% per year, given that it was bought for 25,300.
To find the value of the car after six years of depreciation at a rate of 7.5% per year, we can use the formula:
Value after t years = Initial value x \(e^(-rt)\)
where r is the annual depreciation rate as a decimal (in this case, 0.075), t is the number of years of depreciation (in this case, 6), and e is the mathematical constant approximately equal to 2.71828.
Substituting the values given in the problem, we get:
Value after 6 years = 25,300 x \(e^(-0.075 x 6)\)
Simplifying the expression inside the exponential, we get:
Value after 6 years = 25,300 x \(e^(-0.45)\)
Using a calculator to evaluate \(e^(-0.45)\), we get:
Value after 6 years = 14,488.57 (rounded to the nearest cent)
Therefore, after six years at 7.5% annual depreciation, the automobile is now valued roughly 14,488.57.
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you can roughly locate the median of a density cure by eye because it is
Answers
Roughly where the curve intersects the line that represents half of the total area under the curve.
In other words, if you were to draw a horizontal line that cuts the area under the curve in half, the point at which the curve intersects this line would be a rough approximation of the median.
However, it's important to note that this method of locating the median by eye is not always accurate, especially for skewed or non-symmetric distributions.
In such cases, more precise methods, such as calculating the median using statistical software or by hand, may be necessary.
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You purchased a five-pack of new light bulbs that were recalled because % of the lights did not work. What is the probability that at least one of your lights is defective?.
Answers
The probability that at least one of the lights is defective is 0.2661 .
in the question ,
it is given that
the total number of bulbs in the pack of new light bulbs is (n) = 5
percent of bulb that did not work is = 6%
probability that lights did not work is (p) = 0.06
probability that lights work is (q) = 1 - 0.06 = 0.94
let x be the number of defective lights
So ,the probability that at least one of your lights is defective
is P(x ≥ 1) = 1 - P(x<1)
= 1 - P(x = 0)
By Binomial Probability
= 1 - ⁿCₓ*(p)ˣ*(q)ⁿ⁻ˣ
= 1 - ⁵C₀*(0.06)⁰*(0.94)⁵⁻⁰
= 1 - 1*1*(0.94)⁵ ...because ⁵C₀ = 1
= 1 - (0.94)⁵
= 1 - 0.7339
= 0.2661
Therefore , The probability that at least one of the lights is defective is 0.2661 .
The given question is incomplete , the complete question is
You purchased a five-pack of new light bulbs that were recalled because 6% of the lights did not work. What is the probability that at least one of your lights is defective ?
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card is dealt from complete deck of fifty two playing cards (no jokers)_ Use probability rules (when appropriate) to find the probability that the card is as stated: (Count an ace as high: Enter your answers as fractions:) (a) above jack 3/13 below 2/13 (c) both above jack and below 13/52 either above jack or below 5/13
Answers
The probabilities are: (a) 12/13 (b) 1/13 (c) 0 (d) 1 7/26. (a) The probability of drawing a card above a jack is 48/52 or 12/13. This is because there are 48 cards above a jack and 52 total cards in the deck.
(b) The probability of drawing a card below a 2 is 4/52 or 1/13. This is because there are only 4 cards (A, K, Q, J) that are above a 2, and there are 52 total cards in the deck.
(c) To find the probability that a card is both above a jack and below a 2, we need to find the number of cards that satisfy both conditions. There are no cards that satisfy both conditions, so the probability is 0/52 or 0.
(d) To find the probability that a card is either above a jack or below a 5, we need to find the number of cards that satisfy either condition. There are 48 cards above a jack and 20 cards below a 5 (A, 2, 3, 4), but we need to subtract the overlap (cards that are both above a jack and below a 5), which is only 2 (A and 2). So the total number of cards that satisfy either condition is 48 + 20 - 2 = 66. The probability is then 66/52 or 33/26, which simplifies to 1 7/26.
In summary, the probabilities are:
(a) 12/13
(b) 1/13
(c) 0
(d) 1 7/26
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A company estimates that its sales will grow continuously at a rate given by the function s(t) = 11. Where S' (t) is the rate at which sales are increasing, in dollars per day, on dayt a) Find the accumulated sales for the first 6 days, b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5. ) a) The accumulated sales for the first 6 days is $ (Round to the nearest cent as needed. ) b) The sales from the 2nd day through the 5th day is $ (Round to the nearest cent as needed. )
Answers
din textul 1.
In redactarea compunerii:
vei menţiona două trăsături ale personajului;
4 puncte
6 puncte
vei ilustra două modalități de caracterizare diferite, prin câte o secvență comentată;
vei corela o valoare transmisă prin acest personaj cu una importantă pentru tine, justificându-ți
2 puncte
răspunsul.
Punctajul pentru compunere se acordă astfel:
conținutul compunerii - 12 puncte
redactarea compunerii-8 puncte (marcarea corectă a paragrafelor-1 punct; coerenta textului-1 punct
proprietatea termenilor folosiți-1 punct; corectitudine gramaticalà - 1 punct; claritatea exprimării ideilor -
1 punct; respectarea normelor de ortografie - 1 punct; respectarea normelor de punctuație - 1 punct;
lizibilitate-1 punct).
Notă! Punctajul pentru redactare se acordă doar in cazul în care compunerea are minimum 150 de cuvinte
şi dezvoltă subiectul propus.
Please help,
Will mark as brainliest
Answers
Answer: D
Step-by-step explanation:
5 x 3 = 15
8 x 3 = 24
the multipliers are both 3
so they are "similar shapes".
The other options don't have the same multipliers so they aren't right :)
Find f(-6).
f(x) = x + 7
Please help !
Answers
Answer:
The answer to the function f(x) when -6 is substituted into it is 1
HELP. (worth 35 points and will crown brainliest !)
Answers
Answer:
Theoretical probability for each color is 1/4, or 25%.
Experimental probability of blue is 42/200, or 21%.
Experimental probability of purple is 55/200, or 27.5%.
Experimental probability of green is 71/200, or 35.5%.
Experimental probability of red is 32/200, or 16%.
Correct statements:
Experimental property of purple (27.5%) is more than theoretical property of blue (25%).
Theoretical property of blue (25%) is more than experimental property of red (16%).
l=absolute value
simplify the expression without writing absolute value signs
lx-2l if x>2
Answers
The simplified expression without absolute value signs is x - 2.
To simplify the expression |x - 2| when x > 2, we can use the fact that if x is greater than 2, then x - 2 will be positive. In this case, |x - 2| simplifies to just x - 2.
This simplification is based on the understanding that the absolute value function, denoted by | |, returns the positive value of a number. When x > 2, x - 2 will be positive, and the absolute value function is not needed to determine its value. In this case, the expression simplifies to x - 2.
However, it's important to note that when x ≤ 2, the expression |x - 2| would simplify differently. When x is less than or equal to 2, x - 2 would be negative or zero, and |x - 2| would simplify to -(x - 2) or 2 - x, respectively.
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Using the hsd test, if there are 16 df associated with mswithin, and α=0. 05 and the number of groups = 3, qcrit = _________
Answers
Using the hsd test qcrit = 3.65
HSD testis used to check differences among sample way for significance. The Tukey's HSD assessments all pairwise variations at the same time as controlling the probability of making one or greater type I errors.
A Tukey-Kramer test lets us check the null speculation of no distinction between the population approach for all pairs of businesses. The Tukey-Kramer check (also known as a Tukey sincere importance test, or Tukey HSD), is carried out in R inside the function.
solution
given;
using HSD test, the degree of freedom = 16
and α=0. 05
groups = 3
Hence, Qcrit = 3.65 {using HSD table}
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Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. if two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I need help understanding the law of detachment
Answers
The Law of Detachment states:
If a ⇒ b is true and a is true, then b is true
if two figures are congruent, their areas are equal.
a = two figures are congruent
b = their areas are equal
We are given b
The area of ABCD equals the area of PQRS.
We cannot use the law of detachment in this case because we need to be given a for the law of detachment to apply.
ABCD could be a rectangle with area 10
PQRS could be a rhombus with area 10
They are not congruent
7. The rectangle below is dilated by a scale factor of
3.6
to create a new rectangle. Which of the following
could be the dimensions of the new rectangle?
Answers
The new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a rectangle shown in the picture.
The width of the rectangle = 1 1/2 = 3/2 = 1.5 cm
The length of the rectangle = 4 cm
The rectangle is dilated by a scale factor of 3.6:
The new width of the rectangle = 1.5×3.6 = 5.4 cm
The new length of the rectangle = 4×3.6 = 14.4 cm
The dimension of the new rectangle = 14.4 cm ×5.4 cm
Thus, the new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
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Lesson question: How does adding the two equations in a system allow you to solve it?
ANSWER FAST PLEASE
Answers
Answer:
Step-by-step explanation:
y-terms cancel out and are eliminated as a result of adding the two equations.
What is 14 + 6 =
+11
Answers
Since, 14 + 6 = 20
Therefore, 14 + 6 = 9 + 11
dont forget to like and mark me
Answer:
31
Step-by-step explanation:
The floor of a storage unit is 15 feet long and 8 feet wide. What is the distance between two opposite corners of the floor?
Answers
The distance between two opposite corners of the given floor is 17 feet.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that the floor of a storage unit is 15 feet long and 8 feet wide.
Let x would be the distance between two opposite corners of the floor
As per the figure, We have a right triangle with legs 15 and 8 and with hypotenuse x.
According to Pythagoras's theorem,
x² = 15² + 8²
x² = 225 + 64
x² = 289
x = √289
x = 17
Thus, the distance is 17 feet between two opposite corners.
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write an equation of the line that passes through ( 4,-2 ) and is perpendicular to the line y = 2x + 3
Answers
Answer:
y=-x+2
Step-by-step explanation:
Check out the attachment below to check.
Hope this helps!
factor the following expression 5x^5-3x^2-10x^3+6
Answers
Answer:hope this helps
Step-by-step explanation:
(x^2 - 2) (5 x^3 - 3)
(x (5 x^2 - 10) - 3) x^2 + 6
Polynomial discriminant:
Δ = -1772976600
Derivative:
d/dx(5 x^5 - 3 x^2 - 10 x^3 + 6) = x (25 x^3 - 30 x - 6)
Indefinite integral:
integral(6 - 3 x^2 - 10 x^3 + 5 x^5) dx = (5 x^6)/6 - (5 x^4)/2 - x^3 + 6 x + constant
Assume that police estimate that 23% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 20 cars during the first hour a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is pi = 1/p and the variance is ohm^2 = p/q^2? b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
Answers
The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.
a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.
Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.
The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35
The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62
The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95
b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.
Expected number of cars = 1/p = 1/0.23 ≈ 4.35
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evaluate log^8x-4log^8x
Answers
\(\log^8 x -4 \log^8 x\\\\=-3 \log^8 x\)
Where did the Industrial Revolution begin?
A) Ireland
B) England
C) Germany
D) Norway
Answers
Answer:
england
Step-by-step explanation:
Answer:
B) England
Step-by-step explanation:
This process began in Britain in the 18th century and from there spread to other parts of the world
A bar of cast iron 18.125" long has been tapered from a diameter of 0.983" to a diameter of 2.74". What is the difference in diameter between the two ends?
Answers
Answer:
The difference in diameter between the two ends is 1.757''
Step-by-step explanation:
Given;
length of a bar of cast iron, L = 18.125"
initial diameter of the bar, d₁ = 0.983"
final diameter of the bar, d₂ = 2.74"
The difference in diameter between the two ends of the bar is calculated as;
difference in diameter = d₂ - d₁
difference in diameter = 2.74" - 0.983"
difference in diameter = 1.757''
Therefore, the difference in diameter between the two ends is 1.757''
If the simple interest on $7000 for 7 years is $3430, then what is the interest rate?
Answers
The interest rate will be 7%
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount.
Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
the simple interest on $7000 for 7 years is $3430
r = S*100/(p*t)
r = (3430*100)/(7000*7)
r = 7%
Hence the interest rate will be 7%
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in the xy - plain the line of the equation y = 5x - 6 is parallel to the line ax + 2y = 6. Where a is a constant. Determine the value of a
Answers
9514 1404 393
Answer:
a = -10
Step-by-step explanation:
Subtract 5x from the given equation and compare to the desired equation.
-5x +y = -6
ax +2y = 6
For the lines to have the same slope, the ratio of x and y coefficients must be the same.
-5/1 = a/2
-10 = a . . . . . multiply by 2
suppose that the local sales tax rate is 6.25% and you purchase a used car at 16800 what is the car total cost
Answers
Car total cost = 17850
ExplanationsThe sales tax rate = 6.25%
Cost of car = 16800
\(\begin{gathered} \text{Tax = Tax rate}\times Cost\text{ of Car} \\ \text{Tax = 6.25\% }\times\text{ 16800} \\ \text{Tax = }\frac{6.25}{100}\times16800 \\ \text{Tax = }1050 \end{gathered}\)Car total cost = Cost of car + Tax
Car total cost = 16800 + 1050
Car total cost = 17850
the proportion of variation explained by the model is called the ____group of answer choices a. slope of the line b. sum of squares error c. coefficient of determination d. coefficient of correlation
Answers
The proportion of variation explained by the model is called the coefficient of determination, also denoted as R-squared.
It is a statistical measure that represents the percentage of the variance in the dependent variable that is explained by the independent variable(s) in the regression model. In other words, it measures the goodness of fit of the regression line to the observed data points. The coefficient of determination ranges from 0 to 1, where 0 indicates that the model does not explain any of the variance in the dependent variable, and 1 indicates that the model explains all of the variance in the dependent variable. The coefficient of determination is often used in regression analysis to evaluate the predictive power of the model and to compare the fit of different models.
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