The slicing of the equation 8x - 4y = 20 for y is y = 2x - 5
How to slice the equation for yFrom the question, we have the following parameters that can be used in our computation:
8x-4y=20
Rewrite the above equation properly
So, we have the following representation
8x - 4y = 20
Divide through the equation by 4
So, we have the following representation
2x - y = 5
Make y the subject of the equation in the above equation
This gives
y = 2x - 5
Hence, the solution is y = 2x - 5
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Chose the step below that correctly uses the multiplication property to begin solving (x+4) the equation: 3 = 2.
Answer:6
Step-by-step explanation:
76 because 76 yea
Tavon has a $50 gift card that loses $2 for each 30-day period it is not used. He has a $40 card that loses $1.50 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have each value?
When multiplying a number by 10, where is the decimal point .
A.One place to the right
B.One place to the left
C.Two places to the right
D.Two places to the left
Answer:
A. One place to the rightStep-by-step explanation:
When multiplying a number by 10 the number is 10 times greater.
If the number is decimal, 10 times the number will move decimal place one point to the right, it will make the whole part 10 times greater.
Example:
123.456 * 10 = 1234.56Correct choice is A
The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?
Answer:
28units consumed in month
Step-by-step explanation:
20unit=20×3=60rs
now service charge +60rs=110
similary total paid=166
now 166-110=56
and 56/7=8unit
since total unit=28unit
√11+√7 √11-√7 = a +b√77 find a and b.
If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
A.16ft
B.25ft
C.6ft
D.56ft
Answer:
C) 6 ft
Step-by-step explanation:
Perimeter is just adding the side lengths together so...
31-15-10=x
6=x
so your answer is 6ft
Please review the toy description below. Answer the following questions:
Jenga is a game played with 54 rectangular blocks. Blocks are stacked into a tower of 13 levels - 3 blocks on each level. Once the tower is built, players take turns removing one block from one of the levels and placing in on the top of the tower. Players can only use one hand to take remove a block from the tower and then place it on the top. The game ends when the tower falls over.
A) What developmental age group(s) is/are this toy appropriate for (e.g., infant & toddler, early childhood, middle childhood, adolescence, young adult)?
B)Why (e.g., what aspects of cognitive, physical, and socioemotional development do you think needs to have already occurred?)? Explain how this toy could promote cognitive, physical, and socioemotional development. Use specific concepts in this explanation.
Clearly define concepts (in your own words!) and be explicit in how you link the toy to each concept. Stronger responses will synthesize a variety of concepts and ideas (e.g., your discussion should not be limited to discussing one theoretical framework). Highlight or bold all concepts used in your explanation.
Answer:
A) The Jenga game is appropriate for the middle childhood age group, typically ranging from around 6 to 12 years old.
B) Jenga promotes cognitive, physical, and socioemotional development in middle childhood through enhancing spatial reasoning and problem-solving skills, improving fine motor skills and proprioceptive input, and fostering social interaction, cooperation, and risk assessment.
Step-by-step explanation:
Jenga, a game played with rectangular blocks, can promote cognitive, physical, and socioemotional development through various concepts.
Cognitive Development: Jenga enhances spatial reasoning as players analyze the tower's structure, evaluate block stability, and strategize their moves. They mentally manipulate objects in space, building an understanding of spatial relationships and balance. Problem-solving skills are fostered as players make decisions about which block to remove, considering the consequences of their actions. They must anticipate the tower's reaction to their moves, think critically, and adjust their strategies accordingly.
Physical Development: Jenga improves fine motor skills as players carefully remove and stack blocks using only one hand. Precise finger movements, hand-eye coordination, and grip strength are required for successful manipulation of the blocks. The game also provides proprioceptive input as players gauge the weight and balance of each block, refining their sense of touch and motor control.
Socioemotional Development: Jenga promotes social interaction and cooperation when played with multiple players. Taking turns, discussing strategies, and supporting each other's successes and challenges enhance communication, collaboration, and empathy skills. Players learn to respect and consider others' perspectives, negotiate and compromise, and work together towards a common goal. Sportsmanship is nurtured as players accept both victory and defeat gracefully, fostering resilience and emotional regulation.
Furthermore, Jenga offers opportunities for developing patience and perseverance. As the tower becomes increasingly unstable, players must exercise self-control, focus, and delayed gratification. They learn to take their time, plan their moves carefully, and tolerate the suspense of potential collapse. The game also presents a low-risk environment for risk assessment, allowing children to assess the consequences of their decisions and make calculated judgments.
By engaging in Jenga, children actively participate in a multi-dimensional activity that combines physical manipulation, cognitive analysis, and social interaction. Through the concepts of spatial reasoning, problem-solving, fine motor skills, proprioceptive input, social interaction, cooperation, sportsmanship, patience, perseverance, and risk assessment, Jenga supports holistic development in cognitive, physical, and socioemotional domains.
Describe the translation from f ( x ) = I x I... to f ( x ) = I x - 1 I + 11.
There I meant 3 questions
Answer:
18) 4 × 4 or 4 + 4 + 4
19) 1.6 ounces of Peanut Butter
20) $5.10
Step-by-step explanation:
Hope this Help!!:)
Given six consecutive integers with a sum of five times the second number, write an algebraic equation for this situation.
You can check that the sum of these integers is indeed five times the second integer, which is -3.
Let x be the second integer in the sequence. Then the six consecutive integers are x-2, x-1, x, x+1, x+2, and x+3. The sum of these integers is:
(x-2) + (x-1) + x + (x+1) + (x+2) + (x+3) = 6x + 3
We know that this sum is equal to five times the second integer, which is x. Therefore, we can write the equation:
6x + 3 = 5x
Simplifying this equation, we get:
x = -3
So the second integer in the sequence is -3, and the six consecutive integers are:
-5, -4, -3, -2, -1, 0
You can check that the sum of these integers is indeed five times the second integer, which is -3.
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what is the average rate of change for f(x)+2^x+2 over interval −1 ≤ x ≤ 1
Answer:
adsefrthgfdsfgd
Step-by-step explanation:
Find the distance and midpoint for the points (5,5) and (1,2).
The distance is
The midpoint is
)
Answer:
midpoint = (3,3.5)
distance = 5
Step-by-step explanation:
midpoint = (x1+X2/2, y2+y2/2)
=(5+1/2, 5+2/2)
=(6/2, 7/2)
=(3, 3.5)
distance= √(x2-x1)^2 -(y2-y1)^2
=√(1-5)^2 -(2-5)^2
= √ 16+9 =√25 =5
the lines that contain the altitudes of a triangle are
The altitudes of a triangle are the perpendicular lines drawn from each vertex of the triangle to the opposite side.
The altitudes of a triangle are special lines that are perpendicular to the sides of the triangle. They are drawn from each vertex of the triangle to the opposite side. These lines intersect the opposite side at right angles. The intersection point is called the orthocenter of the triangle. Each triangle has three altitudes, one from each vertex. The lengths of the altitudes can vary depending on the shape and size of the triangle.
The altitudes of a triangle are useful in many geometric calculations and constructions. They help determine the height of the triangle, which is important in finding the area of the triangle. The altitudes also play a role in proving geometric theorems and properties related to triangles.
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2/5 of a kiddy pool was filled with water. After pouring out 5/7
of the amount of water in the pool 62 liters of water was needed to fill the pool completely. Find
the amount of water needed to fill up the empty
pool.
Answer:
The question is asking what is the volume of water in the full pool. It is 70 liters.
Step-by-step explanation:
Let P represent the volume of a full pool.
"2/5 of a kiddy pool was filled with water" can be written as:
(2/5)P.
"After pouring out 5/7 of the amount of [I assume from the 2/5P] water in the pool" can be written as:
(2/7)(2/5)P, or (4/35)P [This represents the amount of water remaining in the pool after the above shenanigans.]
The we are told that when 62 liters are added back to the pool, it is full. That can be written as:
62 + (4/35)P = P [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]
62 = (31/35)P
P = 62(35/31)
P = 70 liters
which of the following is wrong? question 21 options: sampling rate and sound frequency have the same unit, both use hz. sample rate is a setting that can be changed in the digitization process. sound frequency is a setting that can be changed in the digitization process higher sampling rate does not necessary mean higher pitch
There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.
The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.
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Pls pls help!!! What is the y-intercept of this quadratic?
Answer:
(0, 8)
Step-by-step explanation:
The y-intercept is where the line/point crosses the y-axis, the line can cross more than once.
DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
Answer:
\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)
\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)
So the equation of the circle is
\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)
A Group of students is tracking a friend, John, who is riding a Ferris
wheel. They know that John reaches the Maximum height of 11 m at
10 seconds and then reaches the minimum height of 1 m at 55 seconds.
What is the amplitude of the function and what does it represent in this situation?
Answer:
Part A
5 m
Part B
The maximum displacement of the Ferris wheel from the midline
Step-by-step explanation:
Part A
The amplitude is the largest displacement of a body, moving in an oscillatory, or vibrational motion from its position of equilibrium or central position about which the body vibrates
In the Ferris wheel, the central position is the midline, between the maximum height and the minimum height
Therefore, the amplitude is the maximum displacement from the midline = The maximum height - ((The maximum height - The minimum height)/2 + The minimum height)
∴ The amplitude = 11 m - ((11 m - 1 m)/2) + 1 m) = 5 m
Part B
The amplitude represents the maximum and minimum distances the Ferris wheel moves above the midline.
Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84
Where is the graph of f(x)=4[x-3]+2 discontinuos
Answer:
Below
Step-by-step explanation:
4 [x-3] + 2 = y is not discontinuous anywhere
However 4 / [x-3] + 2 DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!
A university survey 350 undergraduate students to determine their plans after graduation. Among the surveyed students, 211 said that they planned to attend graduate school, while 139 said that they planned to get a job., what is the probability that a randomly selected surveyed student plans to go to graduate school
The probability that a randomly selected surveyed student plans to go to graduate school is 211/350 or approximately 0.603, which can also be expressed as a percentage of 60.3%.
A university surveyed 350 undergraduate students to determine their plans after graduation. Among the surveyed students, 211 planned to attend graduate school, while 139 planned to get a job. To find the probability that a randomly selected surveyed student plans to go to graduate school, divide the number of students planning to attend graduate school (211) by the total number of surveyed students (350). Probability = (Number of students planning to attend graduate school) / (Total number of surveyed students) = 211 / 350 ≈ 0.6029
Therefore, the probability that a randomly selected surveyed student plans to go to graduate school is approximately 0.6029 or 60.29%.
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PLEASE HELP IM SO CONFUSEDDDD!!!!!!
Ayana and Leah both showed how they worked through the quadratic equation:
(x-5)^2 +4 = 16
Ayana took the square root of both sides and rewrote the equation as (x-5) + 2= 4 then solved for x.
Leah isolated the (x-5)^2 by subtracting 4 from both sides and then took the square root from both sides. After that she solved for x.
Ayana's answer was x=7
Leah's answer was x= 5 plus or minus the square root of 12.
Who was wrong and why?
Answer:
No one was wrong.
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x-5)^2+2^2=4^2
x-5+2=4
x=7
How would the equilibrium change if the temperature were increased in
SO2(g) + NO2(9) = NO(g) + S03(g) + heat?
A. Only the reaction rate would change.
B. The equilibrium constant would decrease.
C. The amount of NO and SO3 would increase.
D. The amount of NO2 and SO2 would increase.
Answer:
D. The amount of NO2 and SO2 would increase.
Step-by-step explanation:
This is an exothermic reaction as Heat is among the products. Increasing the temperature would lead to more products in the reaction system. In order for the system to annul this change, more reactants would be formed.
The correct option is;
D. The amount of NO2 and SO2 would increase.
a project being analyzed by pert has 60 activities, 13 of which are on the critical path. if the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take 224 days or more to complete? group of answer choices near zero
The probability that the project will take 224 days or longer is 0.1587.
This is a question on the normal probability distribution.
To expiate this, standardize the 95 days.
The standardized score is calculated by subtracting the value from the mean and dividing it by the standard deviation.
z = (x - xbar) ÷ σ
x = 224 days
xbar = mean = 214 days
σ = standard deviation = √(variance) = √100 = 10
z = (224 - 214) ÷ 10 = 1
To calculate the probability that the project will be finished in 95 days or less, P(x ≥ 224) = P(z ≥ (1))
For these probabilities, use data from the normal probability table.
P(x ≥ 224) = P(z ≥ (1)) = 1 - 0.8413 = 0.1587
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Give that 5x=3(mod7)find x
Answer Below!
Answer That
Help please its due today!
Answer:
b
Step-by-step explanation:
increasing means the curve goes up.
between what values of x did this curve do that ?
I see the tendency to go up stays at x = -1 and ends at x = +3.
before and after these x-values the function is decreasing (going down).
and directly at these points the slope of the tangent is 0 (a horizontal line), so the function is neither increasing nor decreasing there. therefore we need to exclude the actual points from the interval (so, we use only "<" or ">" as symbols).
so, b is the correct answer.
Can Someone help me find what’s half of 3 because I get that the whole line is 3 and you need to find what QJ is which is half but wouldn’t you need to divide it by Two to find it but you can’t divide 3
find x and m of angle wyl
Answer:
Step-by-step explanation:
x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)
now, for m of WYL
notice, YLW = 90°
also, UWL = 42°
name the intersection point of YL and WU as O in your mind
Apply angle sum property of a triangle for triangle WOL
angle WOL + angle UWL + angle YLW = 180
angle WOL + 90 + 42 = 180
angle WOL = 180 - 132
angle WOL = 48
now focus on line LOY
since LOY is a line, the angles a line intersecting it forms a linear pair, i.e
angle WOL + angle YOW = 180
48 + YOW = 180
angle YOW = 132
Now, apply angle sum property for triangle YOW
angle YOW + angle YWO (x) + angle WYO (or WYL) = 180
132 + 42 + WYO (or WYL) = 180
WYO (or WYL) = 6°
ask me in the comments if you have any doubts in this
what is the parallel slope of 9x - 5y = 4
Answer:
-9x+5y=-4
Step-by-step explanation:
Answer:
m= 9/5
Step-by-step explanation:
Parallel lines have the same slope.
So if you can find the slope of the given line, you have the slope you want.
Change the line into the form
y=mx + c
The value of m
will be the slope of the line.
9x −4 = 5y ← to make the y term positive
y=9/5x − 4/5
m=9/5
2[(9-6)^4 divided by 9 = ? (simplify your answer
Simplify:\( \frac{ {2(9 - 6)}^{4} }{9}\)
→\( \frac{ {2(3)}^{4} }{9} \)
→\( \frac{2 \times 81}{9} \)
→\( \frac{162}{9} = 18 \)
Therefore:\(18\)is our final answer.
I hope this helps.