sx+tx=r solve the literal equation for x
Answers
Answer:
\(x = \frac r{s + t}\)
Step-by-step explanation:
Hello!
Solve by isolating the variable.
Solve for x\(sx + tx = r\)\(s(x) + t(x) = r\)\(x(s + t) = r\)\(x = \frac r{s + t}\)The solution for x is \(x = \frac r{s + t}\).
Related Questions
What is the solution set for this inequality
Answers
Answer:
\(x < 7\)
Step-by-step explanation:
1) Subtract 40 from both sides.
\( - 8x > - 16 - 40\)
2) Simplify -16 - 40 to -56.
\( - 8x > - 56\)
3) Divide both sides by -8.
\(x > \frac{ - 56}{ - 8} \)
4) Two negative numbers makes a positive.
\(x > \frac{56}{8} \)
5) Simplify 56/8 to to 7.
\(x < 7\)
Therefor the answer is option B. x < 7.
Answer:
\(x<7\)
Step-by-step explanation:
\(-8x+40>-16\)
Move the constant to the right-hand side and change its sign
\(-8x>-16-40\)
Calculate the difference
\(-8x>-56\)
Divide both sides of the inequality by -8 and flip the inequality sign
\(x < 7\)
Therefore the Correct Answer B. x < 7
Help me i swear ill give brainlist
Answers
so
3.4^2 • 3.14 = 36.3
Good luck! The answer is C!
Jason bought four tickets to a basket ball game. He paid a total of $42.10 for the tickets and his parking was $6.50. What is the cost of each ticket
Answers
The cost of each ticket is 8.9 dollars.
What is cost price?
In mathematics, the term cost price can be explained with the help of profit which states, as the amount which is on the commodity and in the form of standard price called cost price. For the profit, the amount of the commodity can be designed by the shopkeeper which is bigger amount as per the cost price.
According to the question, the Jason bought 4 tickets for basket ball game. He paid a total cost of $42.10 for the tickets and for parking as $6.50
The paid amount for the 4 tickets is: $42.10.
And the parking cost is: $6.50
Total cost price without parking is: $42.10 - $6.50 = $35.60
Therefore, to calculate the cost of each ticket is: 35.60/4 = 8.9 dollars
Hence, the cost of each ticket is 8.9 dollars.
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a box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. the box is to hold 2800 in3. how big a piece of cardboard is needed?
Answers
A square piece of cardboard with side length of 34 inches is needed to make the box.
Let the side of the square piece of cardboard be x inches.
After cutting out 7 inch squares from each corner, the dimensions of the base of the box will be (x-14) inches by (x-14) inches, and the height of the box will be 7 inches.
The volume of the box can be expressed as:
V = (x-14\()^2\)\(\times\)7
We know that the box is to hold 2800 in3, so we can set up an equation:
(x-14\()^2\)\(\times\) 7 = 2800
Simplifying and solving for x, we get:
(x-14\()^2\) = 400
x-14 = ±20
x = 34 or x = 6
Since the cardboard cannot have a side length of less than 7+7=14 inches, the only valid solution is x=34 inches.
Therefore, a square piece of cardboard with side length of 34 inches is needed to make the box.
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What scale factor takes hexagon J to hexagon K?
Answers
Answer:
Step-by-step explanation:
boody boody
f (x) = 3x^2 - 7x - 32
What is the value of f(-4)?
Answers
Answer:
f (-4) = 3x(-4)^2 - 7x(-4) - 32 = 44
Step-by-step explanation:
you should replace every x with the number given which is here equals -4
Find the values of k for which the vectors u = (111), v=(436) and w=(-2-7x) are linearly independent.
Answers
To determine the values of k for which the vectors u = (1, 1, 1), v = (4, 3, 6), and w = (-2, -7, x) are linearly independent, we can examine the determinant of the matrix formed by these vectors.
The vectors are linearly independent if and only if the determinant of the matrix formed by them is non-zero.Constructing the matrix, we have:
| 1 4 -2 |
| 1 3 -7 |
| 1 6 x |
To find the determinant, we can perform row operations to simplify the matrix. Subtracting the first row from the second row, we get:
| 1 4 -2 |
| 0 -1 5 |
| 1 6 x |
Now subtracting the first row from the third row, we have:
| 1 4 -2 |
| 0 -1 5 |
| 0 2 x+2 |
The determinant of the matrix is given by the product of the diagonal elements, so:
det = 1(-1)(x + 2) = -x - 2
For the vectors to be linearly independent, the determinant must be non-zero. Therefore, the values of k for which the vectors u, v, and w are linearly independent are all values except k = -2.
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Consider the solid region E enclosed inside the paraboloid z= x2 + y2 +1 and the cone z = 3 - Vx2 + y2. Also consider the integral 1 III. veti dᏙ 22 + y2 (a) Evaluate the integral using cylindrical coordinates. Also, evaluate the volume of E using triple integrals. Sketch the 2D graph related to the region in xy-plane. (b) Can you set up the integral in rectangular coordinates? (c) Can you set up the integral in spherical coordinates?
Answers
The integral can be evaluated using cylindrical coordinates. The volume of region E can also be determined using triple integrals. The 2D graph related to the region can be sketched in the xy-plane.
Can the integral and volume be calculated using cylindrical coordinates?In cylindrical coordinates, the paraboloid and cone equations can be expressed as z = r^2 + 1 and z = 3 - r^2, respectively. To evaluate the given integral, we convert it into a triple integral using cylindrical coordinates. The region E can be defined as the intersection between the paraboloid and the cone. By setting the two equations equal to each other, we find the limits for the radius (r) in terms of z.
The volume of region E can be calculated by integrating the function 1 over the region E using triple integrals. The limits for the variables r, θ, and z will depend on the intersection points of the paraboloid and the cone. By evaluating this triple integral, we can determine the volume of region E.
To sketch the 2D graph related to the region in the xy-plane, we can ignore the z-coordinate and plot the curves formed by the intersection of the paraboloid and the cone. This will give us an idea of the shape of the region in the xy-plane.
Evaluating triple integrals in different coordinate systems, including cylindrical and spherical coordinates, you can study multivariable calculus. Understanding coordinate transformations and their applications in integration can greatly aid in solving problems involving solid regions and volumes.
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Question 13 If the inflation rate is 180%, in how many years will average prices double?
Answers
If the inflation rate is 180%, the average prices will double in less than one year.
This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate
In this case, the inflation rate is 180%.
Therefore:Years to double = 70/180%
Years to double = 0.389 years
This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).
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solve for h pleas
A=1/2bh
Answers
h = 2A/b
An equation is a group of expressions formed by using arithmetic operations, along with an equality sign.
Here, we are given an equation, A = 1/2bh
As we are not given any values for any of the variables, we can find the value of h in terms of A and b only.
To do this, we keep h on one side and take all the other terms to the other side of the equation.
A = 1/2bh
Multiplying both sides by 2,
⇒ 2A = 2/2bh
2A = bh
now, dividing both sides by b,
2A/ b = bh/b
2A/b = h
h = 2A/b
Thus, the value of h is 2A/b
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(Asapppppp!!)
Simplify to create an equivalent expression,
19 - 6(-k - 2)
Choose 1 answer,
A.-6k+31
B.25k+7
C.6k+31
D.25k+32
Answers
Answer:
56/1230
Step-by-step explanation:
I’m not sure but I think it is letter C.
Good luck
Is the sequence bellow arithmetic or geometric?
6, 12, 18, 24, 30, 36, 42
Answers
Answer:
arithmetic
Step-by-step explanation:
use the formula for the sum of the first n integers to evaluate the sum given below. 3+6+9+12+....+150
Answers
The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:
Sum = (n * (a1 + an)) / 2
where n is the number of integers, a1 is the first integer, and an is the last integer.
In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:
n = ((an - a1) / common difference) + 1
n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50
Now, use the sum formula:
Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825
So the sum of the given series is 3825.
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What’s the value of the underlined digit?
Answers
Answer:
C
Step-by-step explanation:
Do 300,000/3 and count 0 to find answer
an investigative agency has cases and agents. how many different ways can the cases be assigned if only case is assigned to each agent?
Answers
The number of different ways the cases can be assigned to each agent is 2520.
According to the question we have been given that an investigative agency has,
number of cases = 7
number of agents = 5
We need to find the number of ways the cases can be assigned to each of the agents. For this we will use permutation.
The first agent gets any of the seven cases.
The next agent can get any of the six left over cases.
The third can get any of 5 cases.
the 4th can get any of 4 cases left over and at last
the fifth agent can be assigned any of 3 cases left over.
Hence the number of ways = 7*6*5*4*3
= 2520
Thus there are 2520 ways.
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Using the function f(x) = -3/X
a.) Find the derivative of the function at x = 2. Use the definition of
derivative.
b.) Find the equation of the tangent line at x=2
Answers
f'(x) = lim(h->0) [(f(x + h) - f(x))/h]
Substituting the given function:
f'(x) = lim(h->0) [(-3/(x + h) - (-3/x))/h]
Simplifying the expression:
f'(x) = lim(h->0) [-3(x - (x + h))/(x(x + h)h)]
f'(x) = lim(h->0) [-3(-h)/(x(x + h)h)]
f'(x) = lim(h->0) [3/(x(x + h))]
Now, substitute x = 2 into the expression:
f'(2) = lim(h->0) [3/(2(2 + h))]
Simplifying further:
f'(2) = lim(h->0) [3/(2(2 + h))]
= 3/(2(2)) (since h -> 0, we can substitute h with 0 in the denominator)
= 3/4
Therefore, the derivative of the function f(x) = -3/x at x = 2 is f'(2) = 3/4.
b) To find the equation of the tangent line at x = 2, we can use the point-slope form of a linear equation. We already have the slope, which is the derivative f'(2) = 3/4, and we need a point on the line. We can use the point (2, f(2)).
Substituting x = 2 into the original function:
f(2) = -3/2 = -1.5
So, the point on the line is (2, -1.5).
Using the point-slope form of a linear equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-1.5) = (3/4)(x - 2)
Simplifying:
y + 1.5 = (3/4)(x - 2)
y = (3/4)x - (3/2) - (3/2)
y = (3/4)x - 3/2
Therefore, the equation of the tangent line at x = 2 is y = (3/4)x - 3/2.
Each chart has which three components (choose three)?
A. Forecast of customer
B. A center line representing the average
C. An upper line representing last week's sample
D. A lower line representing last week's sample
E. An upper line representing the maximum acceptable variation upwards
F. A lower line representing the maximum acceptable variation downwards
G. A center line representing the maximum acceptable variation centrally
Answers
Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.
Each chart has the following three components:
1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.
2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.
3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.
These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.
In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.
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Here are the counts (in thousands) of earned degrees in the United States in the 2005-2006 academic year, classified by level and the gender of the recipient. Bachelor's 855 Female Male Master's 356 238 Professional 44 44 Doctorate 27 631 29 What is the probability that a randomly chosen student who graduated in 2005- 2006 with a doctorate is female? 0.50 0.58 0.56 0.48
Answers
The closest option from the given choices is 0.04 or 0.48.
To calculate the probability that a randomly chosen student who graduated in 2005-2006 with a doctorate is female, we need to find the ratio of the number of females with doctorate degrees to the total number of individuals with doctorate degrees.
From the given data, we can see that the number of females with doctorate degrees is 27. The total number of individuals with doctorate degrees is the sum of females and males with doctorate degrees, which is 27 + 631 = 658.
Therefore, the probability that a randomly chosen student with a doctorate degree is female is:
P(Female | Doctorate) = Number of females with doctorate degrees / Total number of individuals with doctorate degrees
P(Female | Doctorate) = 27 / 658
Calculating this expression:
P(Female | Doctorate) ≈ 0.041
Rounding to two decimal places, the probability that a randomly chosen student who graduated in 2005-2006 with a doctorate is female is approximately 0.04, or 4%.
So the closest option from the given choices is 0.04 or 0.48.
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Ms. Higgins would like for her homework assignments to have three addition problems for every five subtraction problems. If she wants 39 addition problems how many subtraction problem will she have?
Answers
Answer: 65
3:5=35:x
solve for x
When you code a SELECT statement, you must code the four main clauses in the following order
SELECT, WHERE, ORDER BY, FROM
SELECT, ORDER BY, FROM, WHERE
SELECT, FROM, WHERE, ORDER BY
SELECT, FROM, ORDER BY, WHERE
Answers
When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.
Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.
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Calculate for labor hours for eighth satellite as follows: - Use Table 1 to find the learning curve value for 8th
unit at expected improvement curve of 80% Thus, learning curve value for 8 th
unit is 0.5120 - Calculate number of labor hours as follows: labor hours for eighth satellite
=0.5120∗100,000=51,200
Thus, for 8 th
satellite number of labor hours will be 51,200 . Thus, for 8 th
satellite number of labor hours will be 51,200 .
Answers
The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.
The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.
To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.
Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.
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.........................
Answers
Answer:
a=180-79
a=101
c=83 (vertically opposite angles)
d=c (corresponding angles)
d=83
b=a(corresponding angles)
b=101
Hope it helps
n plzz mark meh da brainliest
Answer: a=101 b=79 c=83 d=97
Step-by-step explanation:
A: angles on a straight line add up to 180° so you would take away 79° from 180° which is 101°.
B: angles on a parallel lines are always the same, you can see that 79 is at the same position as b.
C: opposite angles are always the same so it would still be 83°.
D: d is on other side as c and this would add up to 180° so as we already know that c is 83° you would have to take away 83° from 180° to get d.
Find the volume of this right rectangular prism. [type your answer as a number]
![Find the volume of this right rectangular prism. [type your answer as a number]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/fYxZirzWW6qA974CmRzWys0tQEIg6S49.png)
Answers
Answer:
200 cubic meters
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
please answer quickly!
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P'Q'R' has vertices P'(4, 0), Q'(3, 1), and R'(−1, −2).
Plot triangles PQR and P'Q'R' on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)
Answers
The answer to all the subparts are shown below:
(A) Triangle PQR is distorted into Triangle P'Q'R' by a scale factor of 1/4.
(B) Δ P"Q"R": coordinate are -
P" (-1,0)Q"(0,-1)R"(2,-1)(C) Triangles PQR is not congurent to triangle P"Q"R".
What is a triangle?A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.(A) So, the distance between P Q and P'Q can be calculated using the distance formula.
Distance formula: \(D=\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}\)
From the distance formula, we know that -
\(P Q=\sqrt{(0-4)^2+(-4-0)^2}\)PQ = 4√2Then,
P'Q'= √2PQ /P'Q' = 4The scale factor of a dilation is therefore 1/4. (Compression)
(B) For a point, the Coordinates of Reflection about the y-axis can be written:
(x, y) as (-x, y)Consequently, the Coordinated of PQR can be expressed as:
P" (-1,0)Q"(0,-1)R"(2,-1)(C) Although △PQR and △P"Q"R are similar triangles, they are not congruent because the sizes of their sides differ.
Therefore, the answer to all the subparts are shown below:
(A) Triangle PQR is distorted into Triangle P'Q'R' by a scale factor of 1/4.
(B) Δ P"Q"R": coordinate are -
P" (-1,0)Q"(0,-1)R"(2,-1)(C) Triangles PQR is not congurent to triangle P"Q"R".
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Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with. Cate added 6 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 7 cards from the stack. How many cards were left in the stack?
Answers
Answer:
16 cards were left in the stack.
Step-by-step explanation:
27 to begin with + 6 that Cate added - 10 that Elena took - 7 that Cate took.
27 + 6 - 10 - 7 = 16
Someone help!!!!!! Look at the picture below
Answers
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
Help please stuck on this !!!!!
Answers
Answer:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
A group of 3 Canadians, 4 Brazilians, and 5 Australians are seated at random around a circular table with 12 seats
Answers
The number of ways that a group of 3 Canadians, 4 Brazilians, and 5 Australians are seated at random around a circular table with 12 seats is 180180 ways.
How to calculate the valueTo find the number of ways the group can be seated at random around a circular table with 12 seats, we can use the concept of permutations.
First, let's consider the number of ways the Canadians can be seated. Since there are 3 Canadians and 12 seats, the number of ways they can be seated is given by the permutation formula:
P(n, r) = n! / (n - r)!
The number of ways will be:
= 12! / 3!4!5!
= 180180 ways
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Find the number of ways A group of 3 Canadians, 4 Brazilians, and 5 Australians are seated at random around a circular table with 12 seats
Which survey is most likely affected by bias
A) a server asking randomly selected bike riders if they wear a helmet or not.
B. a survey of supermarket shoppers about their favorite grocery store.
C. a survey of randomly selected students and teachers about the cell phone policy in their school district.
Answers
The reason for this is because some students might strongly believe you should be allowed to have cell phones, but others are strongly against it
Sorry if I am wrong
Pls help me with this question
Answers
Answer:
B
Step-by-step explanation:
the sum of all angles in a triangle is always 180°.
the triangle RTQ is an isoceles triangle (both legs and therefore both baseline angles are equal), because we are dealing with a regular polygon.
so the angle RQT is the same as angle TRQ.
angle RQT = (180 - 108)/2 = 72/2 = 36°.
now, the polygon interior angle RQP is the supplementary angle to angle RQT (that means together they represent one side of a line like TP in this case, and therefore 180°).
angle RQP = 180 - 36 = 144°.
we know that the sum of all interior angles in a polygon is
(n - 2)×180
with n being the number of sides.
and each interior angle in a regular polygon is therefore
(n - 2)×180/n
we know that the interior angle is 144°.
so,
144 = (n - 2)×180/n
144n = (n - 2)×180 = 180n - 360
0 = 36n - 360
360 = 36n
n = 10
so, B is the right answer.