A. The expression for the total perimeter of the pool is 12x² + 15.
Expression for the total perimeter of the poolThe expression for the total perimeter of the pool is calculated as follows;
P = 3L
where;
P is perimeter of triangleL is length of a side of the triangleFrom the given options;
A. 12x² + 15
B. 20x² + 25
C. 12x² + 8x + 25
D. 24x² + 16x + 50
From option A, 3 is a common multiplier of 12 and 15
Perimeter = 3L = 3(4x² + 5)
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Find and simplify the expression if f(x)=x^2-1.
f(x-3)
Answer:
Step-by-step explanation:
f(x)=x²-1
f(x-3)=(x-3)²-1
=x²-6x+9-1
=x²-6x+8
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Simplify the expression 2y+8(y+1)+5(x+5)
Answer:
\(7x+8y+33\)
Step-by-step explanation:
\(2y+8(y+1)+5(x+5)\\\\2y+(8)(y)+(8)(1)+(5)(x)+(5)(5)\\\\2y+8y+8+5x+25\\\\7x+8y+33\)
Bo big cookies for two hours and 30 minutes he finished baking at 8:30 PM when did bo start baking
Answer:
6:00 pm
Step-by-step explanation:
The product of two consecutive positive integers is 110. Find the integers.
Answer:
10 and 11Step-by-step explanation:
10 & 11
Hope that helps!
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
i need help with this, least to greatest. Math.
Answer: least : -1/4 middle: -0.15 greatest: -0.6
if it’s incorrect change places with the 1/4 or 0.15
the answer is -0.6, -1/4, -0.15
(+ y + 3) (y + 1).
Answer:
y^2 + 4y + 3
Step-by-step explanation:
(y + 3)(y + 1)
(y*y) + (y*1) + (3*y) + (3*1)
y^2 + y + 3y + 3
y^2 + 4y + 3
Best of Luck!
Baby Zoe drinks a lot of milk. How many gallons are in 20 pints of milk? (1 gallon=4 quarts, 1 quart= 2 pints)
Answer:
there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk
Step-by-step explanation:
If she drinks 20 pints of milk, you have to convert by dividing.
1 qt= 2 pints
20/2=10
20 pints = 10 quarts
Then, 1 gal = 4 qts
10/4= 2.5
So, there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk.
Hope this helps!!
-Ketifa
(Can I get brainliest?)
Answer:
ehoif :)
Step-by-step explanation:
the notation meansthat and . let be the set of even integers, the set of odd integers and the set of prime numbers. then:
The sets A and B have the same number of elements, or the same cardinality, according to the notation |A| = |B|. The sets do not necessarily have to be equal or share any elements, however, for this to be the case.
We can declare the following for the given sets E, O, and P:
a. [P n 0| < |Z|: This assertion is untrue. The cardinality of P must be smaller than or equal to the cardinality of Z since the set P of prime numbers is a subset of the set Z of all integers.
b. [E] JOU EU: This assertion is false. JOU EU is not a recognised mathematical notation.
c. [P n E| |ZI: This assertion is false. The set of even prime numbers, which is represented by the notation [P n E|, would be the cardinality of the intersection of the sets P and E. The cardinality of this set must be less than or equal to the cardinality of both P and E as it is a subset of both.
d. [PU E| = |Z|: This assertion is untrue. The set of all numbers that are either prime or even is represented by the notation [PU E|], which stands for the cardinality of the union of the sets P and E. The cardinality of this set, which is a superset of both P and E, must be greater than or equal to the cardinality of both sets.
Note that the full question is:
The notation |A| = |B| meansthat |A| = |B] and [A] + [B]. Let E be the set of even integers, O the set of odd integers and P the set of prime numbers. Then: Select one or more:
a. [P n 0| < |Z|
b. [E] < JOU EU
c. [P n E| < |ZI
d. [PU E| = |Z|
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Jessica is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 5/12. Find the probability of Jessica receiving a gift.
Answer:
5/17
Step-by-step explanation:
This is a question to calculate probability from odds. The formula is given as:
A formula for calculating probability from odds is P = Odds / (Odds + 1)
From the question , we are told that the odds of receiving a gift is
= 5:12
The probability of Jessica receiving a gift =
Probability = Odds / (Odds + 1)
P = 5/12 / ( 5/12 + 1)
P = (5/12)/ (17/12)
P = 5/12 × 12/17
= 5/17
Therefore, the probability of Jessica. receiving a gift is 5/17.
Convert 4 yards to inches.
A. 144 inches
B. 12 inches
C. 16 inches
D. 192 inches
Answer:
The answer is A. 144 Inches
Step-by-step explanation:
In one yard, there are 36 inches. You multiply the length value by 36.
4x36=144
Hope this helps, please mark brainliest if possible (:
work out the total surface area of this triangular prism 12cm by 5cm by 10cm by 13cm
To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.
The triangular faces have base 5cm and height 12cm, so each one has an area of:
(1/2) x 5cm x 12cm = 30cm²
There are two of these faces, so their combined area is:
2 x 30cm² = 60cm²
The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:
5cm x 10cm = 50cm²
5cm x 13cm = 65cm²
Again, there are two of these faces, so their combined area is:
2 x (50cm² + 65cm²) = 230cm²
Finally, we add up the areas of all the faces to get the total surface area:
60cm² + 230cm² = 290cm²
Therefore, the total surface area of this triangular prism is 290cm².
206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-7,-5); y=-5x+1
Write an equation for the line in slope-intercept form.
Answer here:
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
The equation of the line in slope intercept form is y = -5x - 40.
How to find the equation of a line in slope intercept form?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line that passes through (-7,-5) and it's parallel to y = -5x + 1.
Hence, parallel line have the same slopes.
Therefore,
y = -5x + b
using (-7,-5)
-5 = -5(-7) + b
b = -5 - 35
b = -40
Therefore, the equation of the line is y = -5x - 40
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HELP PLEASE DUE TODAY
12) Z ∪ N = {Set of Integers}
13) H ∪ Q = R which is a set of real numbers
How to classify numbers?
We are told that;
R = U represents the set of real numbers
N is the set of natural numbers
W is the set of whole numbers
Z is the set of integers
Q is the set of rational numbers
H is the set of irrational numbers
12) We want to find Z ∪ N. This is a set union of the set of integers and the set of natural numbers.
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero. Thus, an integer is also a rational number and all natural numbers are positive integers and as such;
Z ∪ N = {Set of Integers}
13) We want to find H ∪ Q. This is a set union of the irrational numbers and the set of rational numbers. Now, we know that all real numbers are classified as either rational or irrational numbers
Thus; H ∪ Q = R which is a set of real numbers
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PLS HELP ME undersand THIS
Answer:
I believe it is answer b.
Step-by-step explanation:
You multiply 4x and - 7 by 1/5 which gives you 4/5x and 1 2/5. You add 4/5x and 2/5x as they are like terms and get 1 1/5x. The equation then becomes 1 1/5 - 1 2/5
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
The key features of this rational function include the following:
Domain: (-∞, 2) ∪ (2, ∞)
Range: (-∞, -2) ∪ (-2, ∞)
Y-intercept: -7/2.
X-intercept: 7/2.
Vertical asymptote: x = 2.
Horizontal asymptote: y = -2.
What is a rational function?In Mathematics, a rational function simply refers to a type of function which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:
NumeratorDenominatorAdditionally, the horizontal extent of any graph of a rational function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left of the graph to the right.
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Can someone please help me ?
Answer:
Option c is correct
Step-by-step explanation:
Y =mx+c
Where m=2/3
c= 8/3
Answer:
the third option is the right answer
Step-by-step explanation:
y = mx+c
m is the slope
c is the y-intercept
compare the below equations:
\(y = mx + c\)
\(f(x) = \frac{2}{3} x + \frac{8}{3} \)
\(m = \frac{2}{3} \: and \: c = \frac{8}{3} \)
find the measure of minor arc RV
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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Multiply the rational expressions
3(x-4)² 5(x + 4)5
8(x+4)³ 3(x-4)5
(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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Find the measure of angle 2.
A) 90
B) 130
C) 50
D) 40
Answer:
A or b
step by step explanation
The track team needs to sell x coupon books. The team members have already sold 18 books. How many more books does the team need to sell?
Answer:
s=x-18
Step-by-step explanation:
The total of number of books they need to sell is
the total minus 18. And that will equal the amount of books they still need to sell.
The statement "a>2 and a <5" is true when a is equal to what?
A.) 3
B.) 5
C.) 2
D.) 10
Answer:
A
Step-by-step explanation:
As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
hi i need help thank u so much
WORTH 5o points
Answer:
it will be 8 answer letter A
Answer:
A. 8
Step-by-step explanation:
From pythagoras theorem
10^2=6^2+x^2
100-36=x^2
sqrt 64=x
x=8
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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My cookbook's pancake recipe states that it makes 12 standard sized pancakes. The nutritional information says 2 pancakes is a serving containing 150 calories. For breakfast, I prepared half a recipe, but made smaller sized pancakes, so ended up preparing 8 pancakes. I ate 4 of them. How many calories did I consume?
Answer:
225 calories
Step-by-step explanation:
1 recipe makes
12 standard sized pancakes
2 pancakes are 1/6 of the recipe
1/6 of the recipe has 150 calories
6 × 150 calories = 900 calories
The full recipe of 12 pancakes has 900 calories
1/2 recipe was made
1/2 recipe has 1/2 × 900 calories = 450 calories
1/2 recipe made 8 pancakes
4 pancakes are half of the half recipe or 1/4 recipe
1/4 × 900 calories = 225 calories