Answer:
14, 16, 18
sum of the smallest (14) and 3 times the second (16)
14 + 3 x 16 = 62
is 26 more than twice the third (18)
2 x 18 = 36
36 + 26 = 62
hmmm say if you pick any integer whatsoever, and multiply it by some even value, the product will be an even integer, for example, say "3", 2(3) = 6 even, or say "8", 2(8) = 16 even again, so let's say the 1st even integer we'll use is "2a", to get the consecutive ones, we can simply either add or subtract 2 from that.
\(\begin{array}{rllll} 2a&=&\textit{first integer}\\\\ 2a+2&=&\textit{second consecutive integer}\\\\ 2a+4&=&\textit{third consecutive integer} \end{array}\)
\(\stackrel{smallest}{2a}~~ + ~~\stackrel{\textit{three times the 2nd}}{3(2a+2)}~~ = ~~\stackrel{\textit{twice the 3rd}}{2(2a+4)}+\stackrel{\textit{and this more}}{26} \\\\\\ 2a+6a+6~~ = ~~4a+8+26\implies 8a+6~~ = ~~4a+34 \\\\\\ 4a+6=34\implies 4a=28\implies a=\cfrac{28}{4}\implies a=7 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \underset{first}{\stackrel{2(7)}{14}}\hspace{5em}\underset{second}{\stackrel{2(7)~~ + ~~2}{16}}\hspace{5em}\underset{third}{\stackrel{2(7)+4}{18}}~\hfill\)
Please help me. Please
Answer:
Nah
Step-by-step explanation:
WILL GIVE BRAINLY ASAP PLEASE!!
Answer:
it represents 0.64 because there are 100 parts in total and 64 parts are shaded which represents 64/100 which is equivalent to 0.64
What is the answer??
the answer is c, -2.
If it's not correct I'm sorry but I'm 98% sure its correct
Anne invested her lottery winnings of S100 000, part at 4% in Safe Stock and the remainder
at 9% in Risky stock. After one year the total interest from these investments was $5760.
How much was in Bally invested in each stock (include the "let" and Concluding
statements)
Anne invested $64,000 in Safe Stock and $36,000 in Risky Stock.
Let x = amount invested in Safe Stock
Let y = amount invested in Risky Stock
x + y = 100,000 0.04x + 0.09y = 5760Solving the system of equations yields x = 64,000 and y = 36,000.
Anne invested $64,000 in Safe Stock and $36,000 in Risky Stock.
To solve this problem, we used the information given to set up two equations: one representing the amount of interest earned on the Safe Stock investment and the other representing the amount of interest earned on the Risky Stock investment. We then added these equations to eliminate the unknown interest amounts and solve for the unknown investment amounts. This allowed us to determine how much money Anne invested in each type of stock.
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please help
NO LINKS PLEASE
A plastic pool gets filled up with 10L of water per hour.
a) After 2 hours how much water is in the pool? Write an equation.
b) After how many hours will the pool be 80L?
c) Is part b) linear or nonlinear?
a) The amount of water in the pool after 2 hours can be calculated using the equation.
Water in pool = 10L/hour × 2 hours = 20L.
b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.
Solving for Time, we find Time = 8 hours.
c) Part b) is linear.
a) To calculate the amount of water in the pool after 2 hours, we can use the equation:
Water in pool = Water filling rate × Time
Since the pool gets filled up with 10L of water per hour, we can substitute the values:
Water in pool = 10 L/hour × 2 hours = 20L
Therefore, after 2 hours, there will be 20 liters of water in the pool.
b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:
Water in pool = Water filling rate × Time
We want the water in the pool to be 80 liters, so the equation becomes:
80L = 10 L/hour × Time
Dividing both sides by 10 L/hour, we get:
Time = 80L / 10 L/hour = 8 hours
Therefore, it will take 8 hours for the pool to contain 80 liters of water.
c) Part b) is linear.
The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.
Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.
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Karen and Ricardo are 279 miles apart driving towards each on the same route. Karen drives at a speed of 59 miles per hour and Ricardo drives at a speed of 65 miles per hour. In how many hours will they meet?
Answer:
They will meet in 2.25 hours or 2 hours 15 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Let the number of hours at which they meet be x
In x hours, the distance traveled by Karen will be 59 * x = 59x miles
In same x hours, the distance traveled by Ricardo will be 65 * x = 65x miles
Since they are traveling in opposite directions, the distance traveled at that time by Karen will be less than what Ricardo has traveled since he is traveling at a greater speed
However, the sum of whatever they have traveled will be equal to the distance between them
thus;
59x + 65x = 279
124x = 279
x = 279/124
x = 2.25 hours
PLEASE I NEED HELP. summer school
Answer:
1. Y+2/5y
2. y-0.32y
3. Y-2/5y
4. y+0.32y
Step-by-step explanation:
MATHHH!!! area stuff
Answer:
112
Step-by-step explanation:
▪︎ Volume of pyramid = (1/3) * base area * height
▪︎ Base area = 8 * 7
▪︎ Height = 6
▪︎ Volume = 8 * 7 * 6 / 3 = 112
Number 2.
A homeowner is wanting to pave his
drive way. He was quoted for every 240
bricks it would cost $30. Find the unit
rate.
Graph this system of equations on the coordinate plane:
y = 4/3x + 4
3y = -2x - 6
Answer:
(here is the graph from Desmos)
Step-by-step explanation:
The graph is plotted and attached with the answer.
What is System of Equation?The system of equation is set of equations which have a common solution.
The system of equation is
y = 4/3x + 4
3y = -2x - 6
On graphing the system of equations, the solutions can be obtained.
The graphs are plotted and attached.
The solution of the system of equation is ( -3,0).
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An online retailer receives 5% off of all the sales made into here website
After answering the prοvided questiοn, we can cοnclude that the 5% expressiοn discοunt is mοst likely intended tο encοurage custοmers tο purchase.
What is expressiοn ?A cοllectiοn οf symbοls, digits, and cοnglοmerates in mathematics that resemble a pattern οr statistical cοrrelatiοn is knοwn as an expressiοn. Real numbers, mutables, and cοmbinatiοns οf the twο are all acceptable types οf expressiοns. A few examples οf mathematical οperatοrs are additiοn, subtractiοn, rapid spread, divisiοn, and expοnentiatiοn. Expressiοns are frequently used in mathematics, geοmetry, and shape. They are used fοr equatiοn sοlving, representing mathematical fοrmulas, and simplifying mathematical relatiοnships.
All purchases made thrοugh the οnline stοre's website appear tο be eligible fοr a 5% discοunt. The custοmer will thus save 5% οff the tοtal cοst οf the purchase with each sale. Fοr instance, if a custοmer spends $100 οn gοοds, they will get a $5 discοunt, lοwering the final cοst tο $95.
It's wοrth nοting that the retailer may chοοse tο sacrifice prοfits in οrder tο οffer this discοunt. Alternatively, they may have negοtiated lοwer prices with their suppliers οr implemented οther cοst-cutting measures tο cοmpensate fοr the cοst οf the discοunt. In any case, the 5% discοunt is mοst likely intended tο encοurage custοmers tο purchase.
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Complete question:
(q1)Find the area of the region bounded by the graphs of y = x - 2 and y2 = 2x - 4.
The area of the region bounded by the graphs of y = x - 2 and y² = 2x - 4 is 0 square units is 0.17 sq. units. A.
To find the area of the region bounded by the graphs of y = x - 2 and y² = 2x - 4, we need to find the points of intersection between these two equations.
First, let's solve the equation y² = 2x - 4 for x in terms of y:
y² = 2x - 4
2x = y² + 4
x = (y² + 4)/2
x = (1/2)y² + 2
Now, we can set this expression for x equal to the equation y = x - 2 and solve for y:
x - 2 = (1/2)y² + 2 - 2
x - 2 = (1/2)y²
2x - 4 = y²
y = ±√(2x - 4)
To find the points of intersection, we need to solve the equation y = x - 2 simultaneously with y = √(2x - 4).
Setting these two equations equal to each other:
x - 2 = √(2x - 4)
Squaring both sides to eliminate the square root:
(x - 2)² = 2x - 4
x² - 4x + 4 = 2x - 4
x² - 6x + 8 = 0
Using the quadratic formula, we can solve for x:
x = (-(-6) ± √((-6)² - 4(1)(8))) / (2(1))
x = (6 ± √(36 - 32)) / 2
x = (6 ± √4) / 2
x = (6 ± 2) / 2
This gives us two possible values for x: x = 4 or x = 2.
Plugging these x-values back into the equation y = x - 2, we can find the corresponding y-values:
For x = 4: y = 4 - 2 = 2
For x = 2: y = 2 - 2 = 0
So, we have two points of intersection: (4, 2) and (2, 0).
To find the area of the region bounded by the graphs, we can integrate the difference between the two curves with respect to x from x = 2 to x = 4:
A = ∫[2,4] [(x - 2) - √(2x - 4)] dx
Evaluating the integral:
A =\([x^2/2 - 2x - (2/3)(2x - 4)^{(3/2)}] [2,4]\)
A = \([(16/2 - 8 - (2/3)(4 - 4)^{(3/2)}) - (4/2 - 4 - (2/3)(2 - 4)^{(3/2)})]\)
A = [8 - 8 - 0] - [2 - 4 + 0]
A = 0
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Which symbol makes the statement true?
|15| ? -12
<
>
=
≥
Answer:
>
Step-by-step explanation:
Absolute value means whatever is inside of it is always positive so 15 is greater than -12.
Distributive Property Using GCF
25 + 30
Hey there! I'm happy to help!
Let's look at the factors of each of these numbers.
25
1,25
5,5
30
1,30
2,15
3,10
5,6
The greatest common factor between these is 5. Therefore, we divide 25+30 by 5 and put the 5 on the outside.
5(5+6).
This has the same value but it is just written differently.
Have a wonderful day! :D
50 POINTS! Carol is designing an artistic picture frame, which she wants to sell online. The picture frame will be square, but will come in several different sizes. She plans to place decorative stones around the outside of the picture frame. Carol’s first step was creating this prototype frame. (The first picture attached) You will be helping Carol form expressions that will tell her the number of stones she’ll need to order for each frame.
Part A:
How many stones make up the perimeter of the prototype picture frame? Perimeter is usually calculated by adding the length of each side of a shape. In the prototype, there are four stones per side. If we try to find the total number of stones in the frame by adding the number of stones per side, we’ll get an incorrect total. Why?
Part B:
Suppose that s equals the number of stones on one side of the picture frame. Write an expression that would give the number of stones in the top and bottom sides together.
Part C:
Write an expression in terms of s that represents the remaining stones. (The second attached picture) Write an expression in terms of s that represents the remaining stones.
Part D:
Now combine the two expressions you wrote in parts b and c by adding them together. What does the expression formed by this operation represent?
Answer: 12 stones
Step-by-step explanation:
The side of the length will be x = √m square inches.
What is the area of square and a rectangle?The area of the square and rectangle is -
Square = [x]² {x is the side of a square]
Rectangle = L x B {L is the length and B is breadth}
here, we have,
Given is Lisa who is decorating outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is [m] square inches.
It is given that the the area of the square is [m] square inches.
Assume that the length of the side is [x] inches.
x² = m
x = ±√m
Side cannot be negative.
Therefore, the side of the length will be - x = √m
Therefore, the side of the length will be x = √m square inches.
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The exchange rates between pounds, Singapore dollars and Hong Kong dollars are shown below. 1 Singapore dollar = £0.58 £1 = 10.50 Hong Kong dollars Tsion bought a watch in Singapore for 72 Singapore dollars. Ibrahim bought the same model of watch in Hong Kong for 399 Hong Kong dollars. What is the difference between the amounts that Tsion and Ibrahim paid for their watches? Give your answer in pounds.
The Difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.
To find the difference in the amounts that Tsion and Ibrahim paid for their watches, we need to convert the prices to the same currency. We can use the exchange rates given to convert both prices to pounds.
1 Singapore dollar = £0.58
72 Singapore dollars = 72 x £0.58 = £41.76
1 Hong Kong dollar = £0.09
399 Hong Kong dollars = 399 x £0.095 = £37.91
Therefore, Tsion paid £41.76 for the watch and Ibrahim paid £37.91 for the same model of watch.
To find the difference in the amounts paid, we can subtract the smaller amount from the larger amount:
£41.76 - £37.91 = £3.85
Therefore, the difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.
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Find the average rate of change of the function a(x) = πx2 where a is the area of a circle with radius x as the radius changes from x=4 to x=6.
The average rate of change of the given function is 10π.
Given function
a = πx^2
Where a is the area of a circle with radius x
The radius changes from x = 4 to x = 6.
Calculating the average rate of change of function:
The method of finding the average rate between the function value over a certain interval is called the average rate of change.
The formula is given by :
Average = \(\frac{f(b)-f(a)}{b-a}\)
Where f(a) and f(b) are the function value over the limit a and b.
Average = \(\frac{f(6)-f(4)}{6-4}\)
= \(\frac{\pi (6)^{2} -\pi (4)^{2} }{6-4}\)
= \(\frac{\pi (36-16)}{2}\)
= \(\frac{20\pi }{2}\)
= 10π
The average rate of change of the given function is 10π.
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HELPPP
How many liters would you have to sell to earn
$36?
Enter the correct answer.
Answer:
90
Step-by-step explanation:
You would get 36 dollars from 90 liters.
The answer is in the photo.
best anime opening/ending n your opinion? mine would be unravel or mahou
Answer:
i mean like my sister likes todoroki
Step-by-step explanation:
Answer:
not sure about endings but for openings
Tokyo Ghoul: unravel, katharsis
Death Note: The world
Parasyte: Let me hear
MHA: Polaris, Peace sign, Odd Future
that's bout it for now
Step-by-step explanation:
x=a-√b
x = a + √b
what are the values of a and b?
Answer:
\(a=x\\\\b = 0\)
Step by step explanation:
\(x = a - \sqrt b~~~~~~~~~~...(i)\\\\x = a + \sqrt b ~~~~~~~~~~...(ii)\\\\\text{From eq (i) and eq (ii),}\\\\~~~~a - \sqrt b = a+ \sqrt b\\\\\implies \sqrt b + \sqrt b = a-a \\\\\implies 2 \sqrt b = 0\\\\\implies \sqrt b = 0\\\\\implies b = 0\\\\\text{Substitute b = 0 in eq (i):}\\\\~~~~~~x = a- \sqrt {0}\\\\\implies x = a -0\\\\\implies x = a\\\\\implies a = x\\\)
Regression analysis is useful when you wish to predict the value of a quantitative variable based on a another quantitative variable.
Select one:
True False
Regression analysis is a statistical technique used to predict the value of a quantitative variable based on another quantitative variable i.e., the given statement is true.
Regression analysis is widely used when there is an interest in understanding how one quantitative variable, known as the dependent variable or response variable, is influenced by another quantitative variable, known as the independent variable or predictor variable.
The goal is to establish a mathematical relationship between the variables that can be used for prediction and inference.
In regression analysis, a model is built based on the observed data to estimate the relationship between the variables. The model takes into account the variability in the data and provides insights into the strength and direction of the relationship.
By analyzing the model's coefficients, such as the slope and intercept, predictions can be made about the dependent variable's values for different levels of the independent variable.
Regression analysis allows for the assessment of the significance of the relationship, the quantification of the effect of the predictor variable on the response variable, and the estimation of the prediction accuracy.
It provides a valuable tool for making informed decisions, conducting research, and understanding the underlying factors that contribute to the variability of the dependent variable.
Therefore, it is true that regression analysis is useful when predicting the value of a quantitative variable based on another quantitative variable.
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Need help on this mathematical equation I have been assigned by my college teacher
Answer: E.
Step-by-step explanation:
Answer:
well i just want free point soooo
Step-by-step explanation:
17x(8-5)x5 plz help me by solving this plz
Answer:
255
Step-by-step explanation:
so you first do the bracket so 8- 5 = 3
then 17 × 3 =51
and 51× 5 = 255
The area of a rectangle park is 53 square mile. The length of the park is 87 mile. What is the width of the park? URGENTTT PLS ANSWER STEP BY STEP
Can someone help me and give me an explanation?
Answer: I was made for this question the answer is: w=8
Step-by-step explanation:
First you do: 150-30 since you want to cancel it out.
Then: 120/15=8
The answer:8
Choose all of the equations that are true,
DA +8=2
D
***
10
Answer:
B. 1/4 ÷ 8= 1/32
D. 1/8÷4= 1/32
E. 1/4÷4=1/16
Step-by-step explanation:
Answer:
should be B D E___________
What is the value of t?
t−122=3t2−3
i need it asap
Answer:
t+3t=2-3+122
4t=121
divide both sides by four
4t/4=121/4
t=3.25
Answer:
t = 30.5
Step-by-step explanation:
t-122=\(\frac{3t}{2-3}\)
t-122=-3t (2-3=-1, so divide by -1 to get -3t)
4t=122
t=\(\frac{122}{4}\)
t=30.5
I need help with number 8
Answer:
Ten thousands place, and its value is fifty thousand (50,000).
Step-by-step explanation:
3,152,308 in written form is:
"Three million, one hundred and fifty two thousand, three hundred and eight."
3,152,308
The underlined number is in the ten thousands place, and its value is 50,000. In the attached image, I've plugged in your given numbers into the place value chart to show the place value of each digit.
A customer service center keeps track of the number of complaints received each day about one of their new products. The numbers of complaints received over the last 11 day period are 19, 18, 22, 21, 17, 18, 22, 19, 16, 23, and 25. The median for this sample of data is: A. 20 B. 19.5 C. 16 D. 19
The median for the given sample of data is A. 20.
To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.
Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25
There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.
The 6th value in the ordered list is 19.
Therefore, the median for this sample of data is A. 20.
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