Answers
Answer:
RZ = 71
SW = 142
x = 22
Step-by-step explanation:
\(3x + 5 + 3x + 5 = 7x - 12 \\ \: \: \: \: \: \: \: \: \: \: \: 6x + 10 = 7x - 12 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{ - 1x + 10 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: \: - 10 = - 10}{ \frac{ - 1x}{ - 1} = \frac{ - 22}{ - 1} } \\ \\ x = 22\)
Related Questions
How do I solve this?
Answers
general equation of the tangent line, expressed through the x-coordinate of the point, at which it touches the function.
How do you find the equation of a tangent line?The equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent lineA tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c
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Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
Answers
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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Show the algorithm/abstract strategy to justify the 3/5?
Answers
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Find the unknown coordinate so the line through the
points has the given slope
Answers
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
Round 24,837,618 to the ten thousands place. It needs to shown full work on my college math class!!
Answers
Answer:
Step-by-step explanation:
3 is in the ten thousands place
24,837,618
to the right of 3 is 7 and it is higher than 5
that means that 3 becomes a 4 and the rest are zeros
so the answer is
24,840,000
Letℎ()h(x)be the inverse of()f(x). Ifℎ()=−4+1h(x)=−4x+1, which of the following represents()f(x)?
Answers
In order to find f(x), we need to calculate the inverse of h(x)
\(h(x)=-4x+1\)y=h(x)
\(y=-4x+1\)We substitute x with y and y with x
\(x=-4y+1\)Then we isolate the y
\(4y=-x+1\)\(y=-\frac{1}{4}x+\frac{1}{4}\)ANSWER
f(x) is
\(f(x)=-\frac{1}{4}x+\frac{1}{4}\)The correct choice is the first one
how do I simplify this
Answers
Answer:Use Distributive property
the midpoint of the line segment from p 1 p 2 is (- 6, 2) . if p 1 =(-8,2) , what is p 2 ?
Answers
((x1+x2)/2,(y1+y2)/2)
We have the first set of coordinates which is (-8,2) and we have the midpoint which is (-6,2)..
For the x-coordinate:
(-8+x2)/2=-6
-8+x2=-12
x2=-12+8
x2=-4
For the y-coordinate:
(2+y2)/2=2
2+y2=4
y2=2
So the coordinate p2 will be (-4,2)
(brainliest) Students at Bayward High are allowed to sign up for one social studies class each year. The numbers in each grade level signing up for various classes for the next school year are given in the partially completed frequency table.
Part A: Complete the frequency table. (6 points)
Part B: What is the greatest marginal frequency, and what does it represent in the context of the data? (7 points)
Part C: What is the greatest joint frequency, and what does it represent in the context of the data? (7 points)
Answers
By the frequency table we can say Students at Bayward high are more interested in civics.
Part A : Total Number of students in both 11th grade and 12th grade = 555
Number of 11th grade students = 235
Number of 12th grade students = total - students in 11th grade
= 555 - 235 = 320
In 11th grade ,
Number of students signing up for civics = 105
Number of students signing up for Economics = 75
so , Number of students signing up for World history = 235 - (105 + 75)
= 55
In 12th grade ,
Number of students signing up for world history = 25
Total students signing for economics = 125
so , Number of students of 12th grade signing for economics = 125 - 75
= 50
Number of students signing up for civics = 320 - (25+50)
= 245
Adding 11th grader students and 12th grader signing for civics = 105+245
Total number of students signing for civics = 350
similarly , Total number of students signing for world history = 55 + 25
= 80
Part B : Greatest marginal frequency is of 12th grade students signing up for civics .
It represent that more than half of 12th grade students are interested in civics.
Part C : Greatest joint frequency is of Students signing up for civics.
It represents that students are more interested in civics .
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a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies
Answers
Answer:10/6 cups of sugar is the answer to this equation being the correct answer.
Step-by-step explanation:
What is the "theoretical yield" of cookies from each of the "reactants?"
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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The results of the test will be sent to the doctor in 72 hours
how many days will the results be sent to the doctor?
Answers
Answer:
The answer is D) 3 days
Step-by-step explanation:
24×3=72
1. Un ama de casa emprende su primer negocio que es venta de desayunos. Su emprendimiento tiene un
costo jo mensual de $12000 en mercadería para la elaboración de los alimentos y materiales descartables
para envasar, y para presentar su producto. Se sabe que el costo total de fabricación de 10 desayunos
es es $19000 y que la función que representa el costo total responde a un modelo lineal:
a) Determiná el precio de venta de cada desayuno sabiendo que se obtuvo por la venta de 16 servicios
un benecio de $10400.
b) ¾Cuántos desayunos se deben producir y vender exactamente para no tener ni ganancias ni pérdi-
das?
c) Si el ama de casa logra bajar los costos jos un 15 %, ¾cuál será el nuevo benecio por la producción
y venta de 8 desayunos?
Answers
De el modelo lineal, hay que:
a) El precio de venta es de $2,100.
b) Si depen producir y vender 8.57 desayunos para no tener ni ganancias ni pérdi- das.
c) El nuevo benecio es $1,840.
-----------------
Un modelo lineal tiene el seguiente formato:
\(y = mx + b\)
m es la inclinacción, o sea, la taja de cámbio.b es el intercepto, que es el valor de y quando x = 0.Costo constante mensual de $12000.
O sea, \(b = 12000\)
Puesto que:
\(C(x) = mx + 12000\)
El costo total de fabricación de 10 desayunos es $19000.
O sea, cuando \(x = 10, C = 19000\), y usa-se esto para encontrar m.
\(19000 = 10m + 12000\)
\(10m = 7000\)
\(m = 700\)
Entonces, la función del costo es:
\(C(x) = 700x + 12000\)
Item a:
El costo de 16 servicios es:
\(C(16) = 700(16) + 12000 = 23200\)
Benecio de $10,400, o sea, las ganancias fueran de 23200 + 10400 = 33600.
El precio de venta es:
\(p = \frac{33600}{16} = 2100\)
De modo que la ganancia de la venta de x servicios es:
\(G(x) = 2100x\)
Item b:
Para esto, hay que:
\(G(x) = C(x)\)
\(2100x = 700x + 12000\)
\(1400x = 12000\)
\(x = \frac{12000}{1400}\)
\(x = 8.57\)
Si depen producir y vender 8.57 desayunos para no tener ni ganancias ni pérdi- das.
Item c:
El costo de 8 desayunos es:
\(C(8) = 700(8) + 12000 = 17600\)
Bajando el costo en 15%, sera 85%, o sea:
\(0.85(17600) = 14960\)
La ganancia es:
\(G(8) = 2100(8) = 16800\)
Lo benecio es:
\(B(8) = G(8) - 0.85C(8) = 16800 - 14960 = 1840\)
El nuevo benecio es $1,840.
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Which of the following domains represent where the function f(x) = 2(2 - 5)2 + 3 is invertible?
А.
225
B.
IS 3
035
D
2 3
Answers
Answer:
a
Step-by-step explanation:
Use the graph below to find the following:
A) what is the slope of the line?
B) what is the y intercept of the line?
C) what is the equation of the line in slope intercept form?
Answers
B.) The y-intercept is b=-5
C.) The equation is: y=-2x-5
According to NASA, an average of one cataloged piece of space debris has fallen back to Earth each day for the past 50 years. Suppose that there is an 11.5% chance that a piece of debris will fall in Russia during a given week, and a 6.7% chance that a piece of debris will fall in Canada during the same week. Which is the most likely
Answers
Determine whether each sample method is unbiased or biased. If themethod is unbiased, use it to make a prediction. If the method is biased,explain why ?Pete's Twisted Pretzels just received a new shipment of pretzel sticks. Themanager must make sure that the shipment has not been damaged. There are100 boxes, each containing 50 bags of pretzels. The manager decides to examineonly the nearest 5 boxes. He finds only 2 damaged packages. What can heconclude about the entire shipment?
Answers
Answer:
The sampling method is a biased sampling method because the manager only preferred the 5 nearest boxes to him out of a total of 100 boxes. These 5 nearest boxes are not representative of the entire population since they were not randomly chosen and each box didn't have an equal chance of being selected.
Explanation:
In a biased sampling method, some members of the population are preferred over others, this means that some members of the population have a higher or lower probability of being sampled than others.
In an unbiased sampling method, each member of the population has an equal chance of being selected because, in this method, a representative of the entire population is being considered.
In the given question, we're told that there are 100 boxes, each containing 50 bags of pretzels but the manager decided to only examine only the nearest 5 boxes, We can see that this is a biased sampling because the manager only preferred the 5 nearest boxes to him. These 5 nearest boxes are not representative of the entire population since they were not randomly chosen and each box wasn't given a fair chance of being chosen.
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
Answers
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
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Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
Answers
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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Solve for x: 3x+2=11
Answers
Answer:
X= 3
Step-by-step explanation:
To solve this, you must first subtract 2 from 11, to get the 3x isolated.
You'll then have 3x=9, but the x is not alone, so you subtract the 3 from both sides. This leaves you with 3
the value of x will be 3 for the given function 3x+2=11.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given a function 3x+2=11
Simplifying the function:
=> 3x + 2 = 11
subtract by 2
=> 3x +2 - 2 = 11-2
=> 3x = 9
divide by 3 into both sides
=> x = 3
Therefore, the value of x will be 3 for the given function.
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The amount of carbon 14 present in a paint after t years is given by A(t)=Ae-0.000121. The paint contains 25% of its
carbon 14. Estimate the age of the paint.
Answers
The age of the paint is 14,290.0 years old
What is the rule of half-life?For any particular drug, understanding the concept of half-life is helpful in calculating steady-state concentrations and excretion rates. Although different drugs have different half-lives, they all adhere to the same principle: 50% of the initial drug dose is eliminated from the body after one half-life.
What is the half-life of carbon 14?Since radiocarbon (14C) has a half-life of 5700 30 years, it is especially helpful for dating in archaeology. However, the so-called Gamow-Teller ß-decay, an exceptional hindrance to the beta decay from 14C to 14N, is what causes this half-life to be so long.
According to the given question :-
0.18 = e^(-0.00012t)
ln(0.18) = -0.00012t
t = - ln(0.18) / 0.00012 ≈ 14289.98690076605833 ≈ 14,290.0 years old
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What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
Answers
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
Answers
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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You are in charge of buying soda and water for the school picnic. A case of soda costs $6.00 and a case of water costs $5.00. (a) If x represents the number of cases of soda and y represents the number of cases of water, write an equation for a purchase that totals $135. (b) If you bought 10 cases of soda, determine the number of cases of water purchased.
Answers
A)
we will write the equation
\(6x+5y=135\)B) x=10, we just replace the x and solve y
\(\begin{gathered} 6(10)+5y=135 \\ 60+5y=135 \\ 5y=135-60 \\ 5y=75 \\ y=\frac{75}{5} \\ y=15 \end{gathered}\)the number of cases of water ir 15
What is the slope of the line x = 33? *
Answers
Answer:
the slope is undefined
Step-by-step explanation:
since x=33 is a vertical line the slope is undefined.
Find the midpoint of AB when A=(1,-2) B=(1,-1)
Answers
Answer:
Midpoint Of AB = ( 1+1/2 , -2-1/2)
= (2/2 , -3/2)
= ( 1 , -1.5)
Hope this helps
Please mark Branliest.
Answer:
-2,0
Step-by-step explanation:
Write a linear function for the graph, and state and interpret the slope and y-intercept for the given scenario:
Bamboo grows very quickly. Use the information in the graph to write an equation that models the height (y) at time (x).
Answers
The linear function for the given graph is y = x + 20.
What is a linear function?
A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:
y = mx + b
From the graph,
The coordinates of the given graph are (0,20) and (20,40)
Then, slope (m) = (40-20)/(20-0) = 20/20 = 1
and y-intercept (b) = 20
So, the equation will be y = 1x + 20
Hence, the linear function for the given graph is y = x + 20.
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Find the domain of the rational expression: 6-x/4x+20
Answers
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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-5x=5 solve for x plssss help
Answers
Answer:
x=-1
Step-by-step explanation:
-5x=5
-x=1
x=-1
or solve this way
-5x=5
5x=-5
x=-1
\( \Huge\begin{gathered} {\underline{\boxed{ \mathcal{\purple{Answer}}}}}\end{gathered}\)
\({{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:5x \: = \: 5\)
\({{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:x \: = \: \cancel\frac{5}{-5} \\\)
\({{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:x \: = \: -1\)
15.09 ÷ 0.01 = ?
267.4 ÷ 1/10 = ?
Answers
Answer:
Dividing by a fraction is multiplying by the reciprocal
15.09/1/100=15.09*100=1509
267.4/1/10=267.4*10=2674
Answer:
15.09 ÷ 0.01 = 1509
267.4 ÷ 1/10 = 2674
hope these are the answers you are looking for
Step-by-step explanation: