Answer:
Step-by-step explanation:
You can view 3x3 as 3+3+3. 3x4 is 3+3+3+3. 3x4 is also 4+4+4. And so forth.
So, you can see how 3+3 is the same as 3x2.
Hopefully, you can also see that 2x2 is 2+2 for the same reason. It becomes trivial.
Answer:
2+2=4is not more then 2X4
Step-by-step explanation:
Please help I need this immediately
Answer:
The choose B. x = 7 , x = – 15
(x+4)-5=6
x +4-5=6 —> x=6-4+5 —> x= 7
– (x+4)-5=6 —> -x -4-5=6—> x = -4 -5 -6 —> x = – 15
I hope I helped you^_^
solve : |3x+2|+3x+2=0
Answer: Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
Step-by-step explanation:
Answer: x = -2/3
Step-by-step explanation:
Bring everything over to the other side that is not in the absolute value, then make a positive and negative version. You must check your answers.
|3x+2|+3x+2=0 >Subtract 2 from both sides
|3x+2|+3x = -2 >Subtract 3x from both sides
|3x+2| = -3x-2 > Now make 2 equations, one with a + on
right side and other with negative on right
side Then you can drop your absolute
value sign
Positive:
3x+2 = -3x-2 > Now solve for x by bringing like terms to each
side
6x = -4
x = -4/6 >Reduce by dividing top and bottom by 2
x = -2/3
Plug back in to make sure it's a viable solution.
|3x+2|+3x+2=0
|3(-2/3)+2|+3(-2/3)+2=0
|-2 +2| - 2 +2 = 0
0 = 0 so yes x = -2/3 is a solution
Negative:
3x+2 = -(-3x-2)
3x+2 = 3x+2
0 = 0 The x cancels out so there is no solution from the negative version. So there is only 1 solution.
Three number are in the ratio of 1:2:3:4 If 3 is added to the first and 8 is subtracted from the third the new number will be the first and third terms of an AP whose second term is the second number find the original number.
The original three numbers are 19/5, 38/5, and 57/5.
How did we get these values?Let the original three numbers be x, 2x, and 3x, and let the common difference of the AP be d. Then, we have:
3 + d = x + 8 (1) (the new first term is x + 3, after adding 3)
3x - 8 = 2x + d (2) (the new third term is 3x - 8, after subtracting 8)
2x + d = 2(x + d) (3) (the second term of the AP is 2x)
From equation (3), we get:
d = 2x - 2d
Simplifying and substituting into equations (1) and (2), we get:
x = 19/5 and d = 12/5
Therefore, the original numbers are:
x = 19/5
2x = 38/5
3x = 57/5
And the second term of the AP is:
2x = 38/5
So, the original three numbers are 19/5, 38/5, and 57/5.
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The ratio of the measure of the sides of a triangle is 2:3:6, and the perimeter is 187cm. What is the measure of the largest side?
The measure of the largest side of the triangle is 102cm.
What is ratio?Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
For example, 2:3:6 shows the ratio of the sides of a triangle. The perimeter which is the addition of the triangle is 187cm.
Therefore the measure of each side will be given as:
2/11×187= 34cm
3/11×187= 51cm
6/11×187= 102cm
This means that the measure of the three sides are 34cm, 52cm, and 102cm.
Therefore the measure of the largest side is 102cm
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Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
Answer:81%
Step-by-step explanation:
Answer:
60% tiger trout
Step-by-step explanation:
First, do 22+18= 40
Then, when doing % its always out of 100. So, 100 - 40= 60%
Which means, there were 60% Tiger trout.
Jack was 13 years older than Priscilla. together their ages totaled 163 years . What were their ages?
Answer:
Jack is 88, Priscilla is 75.
Step-by-step explanation:
Let J represent Jack's age and let P represent Priscilla's age.
Their age totaled 163, so:
\(J+P=163\)
And we know that Jack was 13 years older than Priscilla. In other words:
\(J=13+P\)
Solve for J and P. To do so, substitute the second equation into the first:
\(13+P+P=163\)
Combine like terms:
\(2P+13=163\)
Subtract 13 from both sides:
\(2P=150\)
Divide 2 from both sides:
\(P=75\)
So, Priscilla is 75 years old right now.
Jack is 13 years older meaning that Jack is 88 years right now.
And we're done!
which propertied belong to all isosceles triangles? check all that apply
Answer:
Step-by-step explanation:
At least two sides have the same length.
At least two angles have the same measure.
The base angles (angles opposite the equal sides) have the same measure.
The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.
The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.
Based on these characteristics, the properties that belong to all isosceles triangles are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Therefore, the correct options are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Three-fourths of the yard is covered with grass and one-fourth is used as a garden. The sprinkler could only water 1/5 of the yard, so the rest died. Use the model to find out how much of the grass died.
3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
Let's start by breaking down the information given:
- Three-fourths of the yard is covered with grass.
- One-fourth of the yard is used as a garden.
- The sprinkler could only water 1/5 of the yard.
To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.
Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.
The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.
To find the portion of the grass that died, we subtract the watered portion from the total grass area:
Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.
Simplifying, we get:
Portion of grass that died = 3/5.
Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
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What is the slope of the line of 8x - 6y = 1
Answer:
4/3
or
1.33 repeating
Step-by-step explanation:
-6y = -8x + 1
y = 4/3x -1/6
Answer:
m = 4/3
Step-by-step explanation:
8x - 6y = 1
We want to get it to the form y = mx + b
8x - 6y = 1
-6y = -8x + 1
y = 8/6x + 1
m = 8/6 = 4/3
So, the slope is 4/3
What is the distance between the points (7,5) (4,9)
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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What is the volume of the prism, in cubic centimeters?
Answer:
Uhhhhhh, nothing?
Step-by-step explanation:
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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Please help!! This is due tommorow and ive been procrastinating:((
The required equation of the function shown in the graph is y = |x - 4|.
Given that,
To determine the equation of the function shown in the graph.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As we can see, the graph is of the aboslute value function,
y = |x|
And it is vertex is located at (4, 0)
So the transformation in the function is given as,
y - 0 = |x - 4|
y = |x - 4|
Thus, the required equation of the function shown in the graph is y = |x - 4|.
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If f(x)=6x-2, what is the value of f(4)?
Please explain I don’t understand these questions.
Answer:
I think it might be 16 or 24.
Step-by-step explanation:
Pardon if I'm wrong.
If a perimeter is 20/21 what is the side length of the square
Answer:
each side would be 5/21
Answer:
Each side is equal to 5/21
Step-by-step explanation:
And this is because it is a square, meaning it has four equivalent (meaning equal) sides. Remember, the perimeter is adding the outside values/numbers. 20 divided by 4 is 5, which concludes that the answer is 5/21.
Hope this makes sense to you! If you don't understand the topic, feel free to comment!!!
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
think your a pro at riddles?
Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?
Answer:
nine
Step-by-step explanation:
If there is a 4 in 5 chance that your mom will tell you to clean your room today after school, what is the
probability that she won't? P(not A) = 1 - P(A)
She'll probably instruct you to clean your room, but there's a 1/5 or 0.2 (20%) probability she won't.
What are examples and probability?The likelihood or chance of an occurrence happening is known as probability. For instance, there is only one method to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we put.
P(A) = 4/5 (the probability of mom telling to clean the room)
P(not A) = 1 - P(A) = 1 - 4/5 = 1/5
Therefore, there is a 1/5 chance, or 0.2 percent, that she won't instruct you to clean your room.
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Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.
Answer:
1/16Step-by-step explanation:
(-32)^-4/5 =(-2^5)^-4/5 =(-2)^-(5*4/5) =(-2)^ -4=16^-1=1/16Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. . Determine her monthly payment. Round to the nearest cent. What is the total amount she will pay back? What is the total interest amount?
The total interest amount, the total amount to be paid, and her monthly payment over 7 years is mathematically given as
X=741.2Y=11641.2z=138.5857What is the total amount she will pay back and the total interest amount?Question Parameters:
Maribel was approved for a 7-year private student loan at 6.8%
costs of $10,900
Generally, the total interest amount is mathematically
given as
X=10900*0.068
X=741.2
Therefore total amount to be paid is
Y=10900*741.2
Y=11641.2
In conclusion, her monthly payment over 7 years
z=11641.2/(7*12)
z=138.5857
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Answer:
Step-by-step explanation:
The total interest amount, the total amount to be paid, and her monthly payment over 7 years is mathematically given as
X=741.2
Y=11641.2
z=138.5857
What is the total amount she will pay back and the total interest amount?
Question Parameters:
Maribel was approved for a 7-year private student loan at 6.8%
costs of $10,900
Generally, the total interest amount is mathematically
given as
X=10900*0.068
X=741.2
Therefore total amount to be paid is
Y=10900*741.2
Y=11641.2
In conclusion, her monthly payment over 7 years
z=11641.2/(7*12)
z=138.5857
Mr. rivas bought 12 tickets to the high school drama production and spent $40. he purchased a combination of child tickets for $2 each & adult tickets for $6 each, write a system of equations to determine the number of child’s tickets (x) and adult tickets (y) he bought , the solve this system using any method you’d like.
Answer:
x = 8, y = 4
This can also be written as an ordered pair: (8, 4)
Step-by-step explanation:
First, set up a system of equations:
x + y = 12, $2x + $6y = $40
The first equation shows that there are a total of 12 tickets, and the other shows that the total of money for all the tickets adds to $40.
Then, solve by elimination by subtracting twice the first equation from the second to isolate y:
2x + 6y = 40
- (2x + 2y = 24)
0 + 4y = 16
And now we can solve for y:
4y = 16
y = 4
Then, put this back into the original equation to solve for x:
x + y = 12
x + 4 = 12
x = 8
Helpppppppppppppp ASAP
Answer:
x+8
Step-by-step explanation:
if you're wrong its your fault
in triangle QRS, the measure of angle RSQ is 48.2 degrees, and the SQR is 75 degrees. what is the QRS?
The measure of angle QRS in triangle QRS is 56.8 degrees.
To find the measure of angle QRS in triangle QRS, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
We know that:
- The measure of angle RSQ is 48.2 degrees
- The measure of angle SQR is 75 degrees
Let x be the measure of angle QRS. Then, we can write:
RSQ + SQR + QRS = 180
Substituting the known values, we get:
48.2 + 75 + x = 180
Simplifying and solving for x, we get:
x = 180 - 48.2 - 75x = 56.8
Therefore, the measure of angle QRS in triangle QRS is 56.8 degrees.
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Compare f(-4) and g(-4)f(-4) is >, <, or = to g(-4)
The answer is f(-4)
EXPLANATION
When we check the value of -4 for both functions on the graph
f(-4) gives 3
g(-4) gives a number slightly greater than 1
Therefore f(-4)>g(-4)
The definition of the absolute value of a number is its magnitude, or distance, from zero. How do these two definitions connect?
The way that the definitions of the absolute value of a number, connect is that the absolute value of a number is the positive representation of the number's distance from zero.
What is absolute value ?The absolute value of a number is the numerical value of a real number without regard to its sign. In other words, the absolute value of a number is the number's distance from zero on the number line. The absolute value of a number is always positive or zero, and is written as the number inside of absolute value notation, which is two vertical lines on either side of the number, like so: |number|. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5.
The distance from zero is the same as the magnitude of a number, and the absolute value of a number is a non-negative representation of its magnitude. So, in other words, the absolute value of a number is its distance from zero on the number line. The two definitions are connected because the absolute value of a number is a positive representation of its distance from zero.
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What is the volume of the object?
Two rectangular prisms are side by side. The dimensions of the larger rectangular prism are 8 c-m, 6 c-m, and 13 c-m and the dimensions of the smaller rectangular prism are 3 c-m, 4 c-m, and 7 c-m.
A
41cm3
B
526cm3
C
708cm3
D
52,416cm3
The total volume is the one in option C, 708 cubic centimeters.
What is the volume of the object?We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.
Then the volume of the first prism is:
V = 8cm*6cm*13cm = 624 cm³
And the volume of the second prism is:
v' = 3cm*4cm*7cm = 84 cm³
Adding that we will get:
total volume = 624 cm³+ 84 cm³ = 708 cm³
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How do you do this question?
Step-by-step explanation:
This is a geometric series, where the first term is -5 and the common ratio is -⅔.
aₙ = -5 (-⅔)ⁿ⁻¹
On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
To win the game, a contestant must select both buckets that contain a ball. Find the
probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Answer:
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Step-by-step explanation:
The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this question:
8 covered buckets, so N = 8.
4 buckets are selected, so n = 4.
2 contain a ball, which means that k = 2.
Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.
This is P(X = 2). So
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143\)
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
help!! Algebra 1!!
sorry if the picture is bad
Answer:
The first one matches with f(x)√x because a square root cannot be negative
The second one matches with f(x)=√(x-5) because the square root would be negative if it were less than five.
The third one matches with f(x)=8x because there is nothing that makes it a not possible answer
The last one matches with 7/(x-8) because there cannot be a denominator of zero.
1. Write a linear equation with the given information
Through (4,-5), parallel to y = -x + 1(4 Points)
2. Write a linear equation with the given information
Through (2,-1), perpendicular to y = -2/3x + 5(4 Points)
(please step by step thank you)
1. The equation of the parallel line is y = -x - 1.
2. The equation of the perpendicular line is y = 3/2x - 4.
What are the Equations of Parallel and Perpendicular Lines?Lines that are parallel have the same slope while slope values for perpendicular lines are negative reciprocals.
1. The slope (m) of y = -x + 1 is -1. Substitute m = -1 and (x, y) = (4, -5) into y = mx + b:
-5 = -1(4) + b
-5 = -4 + b
-5 + 4 = b
b = -1
Substitute b = -1 and m = -1 into y = mx + b
y = -x - 1
2. The slope (m) of y = -2/3x + 5 is -2/3.
Negative reciprocal of -2/3 is 3/2.
Substitute m = 3/2 and (x, y) = (2, -1) into y = mx + b:
-1 = 3/2(2) + b
-1 = 3 + b
-1 - 3 = b
b = -4
Substitute b = -4 and m = 3/2 into y = mx + b
y = 3/2x - 4
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