Answer:
[tex]ln(27c^3)[/tex]
Step-by-step explanation:
Given: [tex]3ln(3)+3ln(c)[/tex]
If there is a coefficient in front of a [tex]log[/tex] or [tex]ln[/tex], that means it becomes an exponent.
[tex]ln(3^3)+ln(c^3)[/tex]
Simplify the exponent.
[tex]ln(27)+ln(c^3)[/tex]
When there is addition between two logarithms or natural logarithms, it means they multiply together.
[tex]ln(27c^3)[/tex]
Answer:
[tex] \ln 27c^3 [/tex]
Step-by-step explanation:
[tex] = 3\ln 3 + 3\ln c [/tex]
[tex] = \ln 3^3 + \ln c^3 [/tex]
[tex] = \ln 3^3c^3 [/tex]
[tex] = \ln 27c^3 [/tex]
Is 23/40 a rational or irrational number? I'm not sure how to solve this one.
Answer:
23/40 is a rational number
Step-by-step explanation:
an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal
In the given question, 23/40 is a rational number.
Explanation:A rational number is any number that can be expressed as the quotient or fraction of two integers (whole numbers), where the denominator is not zero. Rational numbers include fractions and terminating or repeating decimals, but not irrational numbers like the square root of 2.
A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 23/40 is a rational or irrational number, we need to check if it can be expressed as a ratio of two integers. The numbers 23 and 40 are both integers, and the denominator is not zero, so 23/40 is a rational number.
Learn more about Rational and irrational numbers here:https://brainly.com/question/29194459
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Mrs.skinner is making treat bags. She bought a bag of 18 chocolates and a bag of 12 pens.what is the maximum number of bags she can make?
Answer:
6 bags
Step-by-step explanation:
How I got this answer was by thinking of gcf ( greatest common factor). So first you would divided 18 and 12 by 2 to get 9 and 6 then you divided those to by3 to get 3 and 2 and beacuse you can't go and into 3 equally you will multiply 2 and 3 to get 6
There are 5 marbles. There are RED, GREEN, and BLUE. The BLUE marble is 2 more than RED and GREEN combined. The RED marble is 1 less than GREEN. How many does each colored marble have?
Answer:
1/4 of a red marble
5/4 green marbles
14/4 blue marbles.
Step-by-step explanation:
Make a system of equations.
There are 5 marbles, so r + g + b = 5.
There is 2 more of blue marbles than red + green so b - 2 = r + g
There is 1 less red marble than green marbles so g = r + 1.
Then substitute.
b - 2 = r + r + 1
b = 2r + 3
r + r + 1 + 2r + 3 = 5
4r + 4 = 5
4r = 1
r = 1/4
g = 1/4 + 1
g = 5/4
1/4 + 5/4 + b = 5
6/4 + b = 20/4
b = 14/4
Plug them back into the equation and it checks out.
*Note : I don't know how this would work in real life but it's the answer.
in a bag if marbles there are 7 blue, 6 red, pick one marble out. without replacing the first marble pick another marble out. how many ways can u pick two red marbles?
Answer:
1
Step-by-step explanation:
If you only take out 2 marbles, you have to take out red marbles both times to have 2 red marbles. There is no other option.
What are the more appropriate measures of center and spread for this data set
Answer:
(B) and (D)
Step-by-step explanation:
A box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.
Also, we know that in a box plot, the center is measured in the form of median and the spread can be measured in the form of Interquartile range which can be calculated by calculating the value of the upper and lower quartiles.
Thus, the best measure to find the center of the data represented in box plot is median and the best measure to find the spread is Interquartile range.
Hence, options B and D are correct.
The more appropriate measures of center and spread for this data set include the following;
B. Better measure of spread: interquartile range (IQR).
D. Better measure of center: median.
What is a median?In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
Generally speaking, the median is a better measure of center and for this data set, it is equal to 8. Additionally, the more appropriate measure of spread for this data set is the interquartile range (IQR);
Interquartile range (IQR) of data set = third quartile - first quartile
Interquartile range (IQR) of data set = 14 - 6
Interquartile range (IQR) of data set = 8.
Read more on median here: brainly.com/question/452652
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i need help with algebra asap some help me please 8s^2 - 10st + 3t^2
[tex]8 {s}^{2} - 10st + 3 {t}^{2} \\ = 8 {s}^{2} - 4st - 6st + 3 {t}^{2} \\ = 4s(2s - t) - 3t(2s - t) \\ = (2s - t)(4s - 3t)[/tex]
on average, 25 percent of the dogs who to ABC Veterinarian need a rabies booster. If 20 dogs visit ABC Veterinarian, how many of them will likely need a rabies booster?
Answer: The correct answer is 5.
Step-by-step explanation: If 25% of the 20 dogs need a rabies shot the formula to solve the problem is .25 x 20.
.25 x 20 =5
Min's hose can pump 21 gallons of water every hour. How many gallons of water will he fill up if he runs the hose for 2/3 of an hour?
Answer:
14
Step-by-step explanation:
21 divided by 3 =7 7 per 1/3
7x2=14
Final answer:
Min will fill up 14 gallons of water if he runs his hose, which pumps 21 gallons per hour, for 2/3 of an hour.
Explanation:
If Min's hose can pump 21 gallons of water every hour, and he runs the hose for 2/3 of an hour, you would calculate the total gallons of water filled by multiplying the rate (21 gallons/hour) by the time (2/3 hour).
To find out how much water Min fills up:
Multiply the amount of water his hose pumps per hour by the fraction of the hour he runs it.21 gallons/hour × 2/3 hour = 14 gallons.Therefore, Min will fill up 14 gallons of water if he runs the hose for 2/3 of an hour.
Solve the following equation. Then place the correct number in the box provided. 3x + 1 + 5x = 7 +15 + 7x find X
Examine the two-step equation. − 7 4 + x 4 = 2 Which property of operations allows you to add the same constant term to both sides?
Answer:
The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation
Step-by-step explanation:
if a−b=c,then a−b+b=c+b,or a=c+b
Answer:
addition property of equality
Step-by-step explanation:
On a coordinate grid, a park is located at (3,0) and the pool is located at (-3,3). If the tennis courts are the midpoint between the park and the pool, what is the approximate distance from the pool to the tennis courts? (Note: 1 unit equals 1 mile)
A) 1.5 miles
B) 2.79 miles
C) 3.35 miles
D) 4.74 miles
I think c if not sorry have a good day
The approximate distance from the pool to the tennis courts is:
C) 3.35 miles
Step-by-step explanation:It is given that:
On a coordinate grid, a park is located at (3,0) ande the pool is located at (-3,3).
The tennis courts are the midpoint between the park and the pool.
This means that the distance from the pool to the tennis court is half the distance between the pool and the park.
The distance between pool and park is calculated by using the distance formula as follows:
[tex]Distance\ between\ pool\ and\ park=\sqrt{(3-(-3))^2+(0-3)^2}\\\\Distance\ between\ pool\ and\ park=\sqrt{(3+3)^2+(-3)^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{6^2+3^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{36+9}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{45}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=3\sqrt{5}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=6.7082\ units[/tex]
Hence,
[tex]Distance\ from\ pool\ to\ tennis\ court=\dfrac{6.7082}{2}\\\\i.e.\\\\Distance\ from\ pool\ to\ tennis\ court=3.3541\ units[/tex]
Now, it is given that:
1 unit= 1 mile
Hence, 3.3541 unit=3.3541 miles.
Hence, the answer is: Option: C
Katrina owns a 9-acre farm. Last month, she bought her neighbor’s adjoining 8-acre farm. How large is Katrina’s farm now?
Answer:
17 acres
Step-by-step explanation:
9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.
What is the value of x?
A.31
B.41
C.29
D.60
180-59=121
121+30=151
180-151=29.
C is the answer.
If f(12) = 100(0 .50)12, which expression gives f(x)? Explain.
A . f(x) = 12^x
B . f(x) = 100^x
C . f(x) = 100(x)^12
D . f(x) = 100(12)^x
Answer:
[tex]f(x)=100(0.50)^{x}[/tex] or [tex]f(x)=100(1/2)^{x}[/tex]
Step-by-step explanation:
we have
[tex]f(12)=100(0.50)^{12}[/tex]
we know that
f(12) is the value of the function for x=12
therefore
The function f(x) should be
[tex]f(x)=100(0.50)^{x}[/tex] or [tex]f(x)=100(1/2)^{x}[/tex]
Answer:
D . f(x) = 100(1/2)^x
Step-by-step explanation:
If f(12) = 100(0 .50)¹²
∴ f(x) = 100(1/2)ˣ
Which statement BEST describes how the graph of g(x)=-3x^2 compares to the graph of f(x)=x^2?
Reminder:(Number 12 for the picture has the answers for the question)
Answers are attached in the 2 pics below. Please check!
The coordinates of the vertices of quadrilateral ABCD are A(4,1) B(1,5) C(-3,2) and D(0,-2). Prove the quadrilateral is a square.
Answer:
The quadrilateral is a SQUARE.
Step-by-step explanation:
Given
Four points
A(4,1)
B(1,5)
C(-3,2)
D(0, -2)
The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.
We will use the two-point distance formula to calculate lengths of sides of quadrilateral.
The distance formula:
d= √((x_2- x_1)^2+(y_2- y_1)^2 )
So, for side AB
AB= √((1- 4)^2+(5- 1)^2 )
= √((-3)^2+(4)^2 )
= √(9+16)
= √25
= 5 units
For BC
BC= √((-3- 1)^2+(2- 5)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
For CD
BC= √((0-(-3))^2+(-2-2)^2 )
= √((0+3)^2+(-4)^2 )
= √(9+16)
= √25
= 5 units
For AD
AD= √((0-4)^2+(-2-1)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
As all the sides are equal
AB=BC=CD=AD
= 5 units
So the quadrilateral is a square.
2 dot.
Answer:
The quadrilateral is a SQUARE.
Step-by-step explanation:
Given
Four points
A(4,1)
B(1,5)
C(-3,2)
D(0, -2)
The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.
We will use the two-point distance formula to calculate lengths of sides of quadrilateral.
The distance formula:
d= √((x_2- x_1)^2+(y_2- y_1)^2 )
So, for side AB
AB= √((1- 4)^2+(5- 1)^2 )
= √((-3)^2+(4)^2 )
= √(9+16)
= √25
= 5 units
For BC
BC= √((-3- 1)^2+(2- 5)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
For CD
BC= √((0-(-3))^2+(-2-2)^2 )
= √((0+3)^2+(-4)^2 )
= √(9+16)
= √25
= 5 units
For AD
AD= √((0-4)^2+(-2-1)^2 )
= √((-4)^2+(-3)^2 )
= √(16+9)
= √25
= 5 units
As all the sides are equal
AB=BC=CD=AD
= 5 units
So the quadrilateral is a square.
2 dot.
Step-by-step explanation:
A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
Answer:
d = 0.7*t
Step-by-step explanation:
Given data,
Time Distance
10 7
15 10.5
20 14
From analysis,
1) d1/t1 = 7/10 = 0.7
2) d2/t2 = 15/20 = 0.7
3) d3/t3 = 14/20 = 0.7
It can be analysed from the figure that, at every point d/t = 0.7
Therefore, the relationship between t and d is
d = 0.7*t
or
t = d/0.7
Answer:
d=0.7t
Step-by-step explanation:
I just did the question on khan academy.
Which of the following could be the equation for a parabola that opens to the left with vertex (-17,2)?
Answer:
C
Step-by-step explanation:
Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.
-17=-3(2-2)²-17
-17=0-17
-17=-17✓
2=3(x+17)1+2
2=0+2
2=2✓
With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.
Is 976-522 more or less than 400? Explain how you can tell without finding the exact difference
[tex]\bold{Hey\ there!} \\ \bold{976-522=454}\\ \boxed{\boxed{\bold{Thus, 400\ is\ \underline{LESS\ THAN}\ 976-522}}} \\ \bold{Just\ solve\ your\ particular\ equation} \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
1-3 I don’t understand
Answer:
a =20.48
b = 14.34
Sin(55) = 0.8192
Step-by-step explanation:
Points to remember
Sinθ = Opposite side/Hypotenuse
Cosθ = Adjacent side/Hypotenuse
From the given figure we can see a right angled triangle.
One angle is given 35° and one side = 25
To find the value of a and b
Sin 35 = Opposite side/Hypotenuse = b/25
b = 25 * Sin 35 = 25 * 0.5735 = 14.34
Cos 35 = Adjacent side/Hypotenuse = a/25
a = 25 * Cos 35 = 25 * 0.8192 = 20.48
To find the value of sin 55
Sin(55) = opposite side/Hypotenuse =a/25 = 20.48/25 = 0.8192
What is the value of x?
Answer options: 15, 35, 25, 30
➷ Angles subtended by the same arc are equal
Therefore, x = 30 degrees.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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The answer is 30 Degrees
..............................................
Could someone help me plz???
The correct answer is B. approximately 250g
Please help me with this
Answer:
44
Step-by-step explanation:
A=a+b
2h=6+5
2·8=44
What is the first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2?
The first step in evaluating the expression is to perform the division 4 ÷ 4, following the order of operations (PEMDAS).
Explanation:The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Since there are no parentheses or exponents in this expression, we start with multiplication and division from left to right.
In this case, the first operation to perform is the division: 4 ÷ 4.
After completing the division, we then proceed with addition and subtraction from left to right.
Final answer:
When evaluating an expression like 8 + 6 – 4 ÷ 4 + 2, the first step is to follow the order of operations by performing division and multiplication before addition and subtraction, resulting in a final answer of 12.
Explanation:
The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations. This means performing division and multiplication before addition and subtraction.
Divide: 4 ÷ 4 = 1
Multiply: 1 × 2 = 2
Addition and Subtraction: 8 + 6 - 2 = 12
Therefore, the result of the expression 8 + 6 – 4 ÷ 4 + 2 is 12.
Complete the solution of the equation. Find the value of y when x equals 7
Answer:
y = 10
Step-by-step explanation:
2x + y = 24
2(7) + y = 24
14 + y = 24
-14 -14
y = 10
Answer:
The Answer is 10
Step-by-step explanation:
2x + y =24
2 * 7 + 10 + 14
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How do you express the ratio 3.5 : 2.5 in its simplest form?
Answer:
2.5×2=5
3.5×2=7
RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7
PLZZ MARK MY ANSWER BRAINIEST
Step-by-step explanation:
HELP PLX 46 POINTS!
The diameter of the semicircle with center O, shown below, is 4 units. What is the area of the shaded region?
Answer:
Area = 2
Step-by-step explanation:
Givens
The leg and the height of the right angle triangle are both radii of the semi circle.
The diameter of the semicircle is 4
Solution
radius = diameter /2
radius = 4/2
radius = 2
Area = 1/2 * b * h
b = 2
h = 2
Area = 1/2 * 2 * 2
Area = 2
Answer:
2 units²
Step-by-step explanation:
The diameter is 4 units.
The radius is 4/2 = 2 units.
The two legs of the triangle are a measure of 2 units or just the radius length.
Area of triangle = bh × 1/2
2 × 2 × 1/2
4/2 = 2
Could someone please explain how to do this?
The answer is D because 127° is = p
180-127=p. P=53
180-116=r. R=64
53+64+q=180
117+q=180
Subtract 117 from both sides
Q= 63
What is the product? (7x2y3)(3x5y8)
i don't know if this is the correct answer 3360y^2
Answer:
Product [tex](21) ( x^{7})(y^{11})[/tex].
Step-by-step explanation:
Given : [tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].
To find : product .
Solution : We have given that
[tex](7x^{2} y^{3})(3x^{5} y^{8})[/tex].
Combine like terms
[tex](7 * 3) ( x^{2}*x^{5})(y^{3}*y^{8})[/tex].
By the exponential rule : if the base of two exponent is same then power must be added . [tex]x^{a} *x^{b} = x^{a+b}[/tex].
Then
[tex](21) ( x^{2+5})(y^{3+8})[/tex].
[tex](21) ( x^{7})(y^{11})[/tex].
Therefore, Product [tex](21) ( x^{7})(y^{11})[/tex].
help and show work for #7
Answer:
If you give the diameter and the radius, as well as the circumference, I will be of more help :)
Step-by-step explanation:
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)