The equation a/b x b/a = 1 is a product equation
It is true that a/b x b/a = 1
How to prove the product expression?The product expression is given as:
a/b x b/a = 1
Rewrite the product expression properly as follows:
[tex]\frac ab * \frac ba = 1[/tex]
Multiply the numerator of the fractions
[tex]\frac {ab}b * \frac 1a = 1[/tex]
Multiply the denominator of the fractions
[tex]\frac {ab}{ab} = 1[/tex]
Evaluate the quotient
[tex]1= 1[/tex]
Hence, it is true that a/b x b/a = 1
Read more about mathematical proofs at:
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3. A city of 100,000 is having pollution problems and is decreasing in size 2% annually (every year). Find the population
of this city in 100 years.
Answer:
13,262
Step-by-step explanation:
The town will reduce at 2% on reducing balance method of end of each year population.
Hope this helps!
Determine whether the graph represents a linear or nonlinear function. Explain.The graph represents a
function, because the graph
is or is not a line
Answer:
The graph represents a nonlinear function, because the graph isn't a line.
Reason: A linear function is a graph with a straight line, in this case the graph isn't straight, so it is nonlinear function.
A triangle has squares on its three sides as shown below. What is the value of x?
2 centimeters
6 centimeters
8 centimeters
10 centimeters
What number is 40% of 180?
Answer:
72
Step-by-step explanation:
You can find ten percent of 180 pretty easily, it is 18 (divide by 10) then multiply by 4 to get 40%.
Answer:
72
Step-by-step explanation:
10% of 180 = 180 ÷ 10 = 18
⇒ 40% = 4 x 10% = 4 x 18 = 72
Or,
convert 40% into a decimal:
40% = 40/100 = 0.4
⇒ 40% of 180 = 0.4 x 180 = 72
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC Is vertical and line segment CD is horizontal, what are the coordinates of point C?
Answer:
(2, -1)
Step-by-step explanation:
First off, we need to find the coordinates of D. We do this by applying the partitioning formula. It is (m/m+n)(x2-x1) +x1 for x and (m/m+n)(y2-y1)+y1 for y. The value of m is 5 and n is 3. You would need to input the valuables in. This will create (5/8)(10-2)+2 for x and (5/8)(2-(-6))-6 for y. In the end, we will have 7 for x and -1 for y. To find c we just need to find what coordinates follow the x axis and for what y. We see that C follows the x coordinates of point A and y coordinates follow point D.
what is the value of the expression when a = 18 and b = 14
1/2 (18 + 14) - (18-14)
A 32
B 12
C 8
D 0
Answer:
Ans is 12
Step-by-step explanation:
Given
a=18 and b=14
1/2(18+14)-(18-14)
0.5×32-4
16-4
12 Ans
Please help, tell whether the statement is always, sometimes, or never true.
Answer:
Step-by-step explanation:
22. never
23. always
24. sometimes
Answer:
✏️ ANSWER✏️
1, never2, sometimes3. alwaysStep-by-step explanation:
#CarryonlearingExplain why this quadrilateral is not a parallelogram.
I’m confused on this
Answer: This quadrilateral is not a parallelogram because 1. opposite sides are not equal and 2. the right and left sides are not parallel.
Step-by-step explanation:
1. The top side is 4 units long and the bottom side is 8 units long. 4 [tex]\neq[/tex] 8.
2. The side on the left has a slope of 5/13 while the side on the right has a slope of 5/9.
Find the value of x, 12=x-[-15]
Answer:
x= - 3
Step-by-step explanation:
(12x^3 - 2x^2 - 12x + 3) ÷ (4x+2)
find quotient
find remainder
Answer:
quotinet = 3x² - 2x - 2
remainder = 7
Step-by-step explanation:
12x³ - 2x² - 12x + 3
= 3x²(4x + 2) - 6x² - 2x² - 12x + 3
= 3x²(4x + 2) - 8x² - 12x + 3
= 3x²(4x + 2) - 2x(4x + 2) + 4x - 12x + 3
= 3x²(4x + 2) - 2x(4x + 2) - 8x + 3
= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 4 + 3
= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 7
= (4x + 2)(3x² - 2x - 2) + 7
so
quotinet = 3x² - 2x - 2
remainder = 7
Help please can someone help me
Answer:
the second one i think im not sure...
Step-by-step explanation:
Brainliest if correct
Hey there!
4(2w + 2) - 11
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(2w) + 4(2) - 11
= 8w + 8 - 11
COMBINE the LIKE TERMS
= 8w + (8 - 11)
= 8w + 8 - 11
= 8w - 3
Therefore, your answer is: 8w - 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\boxed{\sf{8w-3}}[/tex]
Step-by-step explanation:
This problem can be solved by using the distributive property of left-to-right numbers.
[tex]\underline{\text{Distributive Property}}[/tex]
A(B+C)=AB+AC
4(2w+2)-11
4(2w+2)
Multiply by 2.
4*2=8
4*2=8
Rewrite the problem down.
8w+8
8w+8-11
Then, subtract.
8-11=-3
Rewrite the problem down.
8w-3
Therefore, the final answer is 8w-3.
I hope this helps you! Let me know if my answer is wrong or not.
6 1/4 - 2 1/2
Please answer :)
Answer:
3 decimal 75 is the answer
Expression is equivalent question
Answer:
-40+44i
Step-by-step explanation:
4(-10+11i) = -40+44i
hope its clear
Write and equation based on the graph. Please help me 20 points!
Answer:
y = 3/5x - 1
Step-by-step explanation:
The slope found from counting the units is 3/5, and the y-intercept is -1, hence 3/5x - 1
What is the monthly payment after PMI is dropped?
Answer:
The lender or servicer must automatically terminate PMI when your mortgage balance reaches 78 percent of the original purchase price — in other words, when your loan-to-value (LTV) ratio drops to 78 percent.
BEST ANSWER GETS BRANILIEST
*I DID THIS IRL*
I flipped 2 coins 100 times
both coins showed heads 24 times
both coins showed tails 44 times
both coins showed 1 head and 1 tail 32 times
PLS ANSWER THE QUESTIONS BELOW
1. What is the theoretical probability that a coin toss results in two heads showing?
2. What is the experimental probability that a coin toss results in two heads showing?
3. What is the theoretical probability that a coin toss results in two tails showing?
4. What is the experimental probability that a coin toss results in two tails showing?
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
6. What is the experimental probability that a coin toss results in one head and one tail showing?
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
Answer:
The odds are 100 out of 200% for both to have heads.
The actual probility is 50%
Step-by-step explanation:
simplify powers of i99 =
Answer:
-i
Explanation:
Just divide that power by 4
99/4 you get 24.75
multiply the whole part 24 by 4
and then multiply 0.75 by 4
In the end, you get
[tex](i^{4})^{24}*i^{3}[/tex]
[tex]i^{4} = 1[/tex]
[tex]i^{3} = -i[/tex]
So, the answer is -i
I was never taught how to do this... some one help me.
[tex]$\cos X = \frac{\text{adjacent}}{\text{hypotenuse}} = \boxed{\frac{15}{17}}$[/tex]
GIVING BRAINLIEST!!!!!!
Write an equation in slope-intercept form to represent the relationship in the table below.
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
Choose 2 ordered pairs from the table: (0, 3) and (5, 13)
Let [tex](x_1,y_1)[/tex] = (0, 3)
Let [tex](x_2,y_2)[/tex] = (5, 13)
Use the slope formula to find slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\implies m=\dfrac{13-3}{5-0}=2[/tex]
Use point-slope form of linear equation to find equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=2(x-0)[/tex]
[tex]\implies y=2x+3[/tex]
A local newspaper, The Lansing Times, sells advertising space. It charges advertisers according to the fraction of a page their ad will fill.A new restaurant owner purchased ads to run in the paper over several days. She bought two 1/5-page ads, nine 1/20-page ads, and five 1/4-page ads. What was the total amount of space that she bought?
HURRY PLEASE, iLLGIVE BRAINLIEST!! HURRY HURRYYYYYYY
The total amount of space that she bought was 2 1/10 pages.
FractionsTo determine what was the total amount of space that she bought, you must perform the following calculation:
1/5 = 0.21/20 = 0.051/4 = 0.250.2x2 + 0.05x9 + 0.25x5 = X0.4 + 0.45 + 1.25 = X2.10 = XTherefore, the total amount of space that she bought was 2 1/10 pages.
Learn more about fractions in https://brainly.com/question/1301963
5x-35y=50 i divided each side by 5 and got x-7y=50 stuck on the next step... is it multiply?
Answer: This is unsolvable because there are two variables. Unless there is any other information, I don't think you can simplify any further.
Step-by-step explanation:
4x^2-11x=78 quadratic formula
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.
1) P(x = 7)
2) Between 8.25 po9unds and 12 pounds.
3) Greater than 10.50 pounds.
Please show work.
Hello!
For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:
Range: 6 to 14 pounds
Formula of density function:
y = 1/Range
1 - (14 - 6) = 1/8 = 0.125
f(x) = 0.125
1)
P(x = 7)
A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.
This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)
[tex]\int\limits^a_a {f(x)} \, dx = 0[/tex]
Therefore, P(x = 7) = 0.
2)
We can think of this as finding the area of a rectangle.
The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75
The height would be the function (y = .125), or:
h = .125
Using the equation for the area of a rectangle: (A = h * w)
A = 3.75 * .125 = 0.469
Thus, P(8.25 < x < 12) = 0.469
3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50
The height is the same as above:
h = .125
Solve for the area:
A = 3.50 * .125 = 0.4375
P(x > 10.5) = 0.4375
A line passes through the point (1,3) and has a slope of 2. Which of these points also lies on this line?
A. (1,5)
B. (2,6)
C. (3,5)
D. (3,7)
Answer:
D (3,7)
Step-by-step explanation:
Answer:
D (3, 7)
Step-by-step explanation:
Use linear equation formula in point-slope form: [tex]y-y_1=m(x-x_1)[/tex]
where [tex](x_1,y_1)[/tex] is a point on the line and [tex]m[/tex] is the slope
[tex]\implies y-3=2(x-1)[/tex]
[tex]\implies y=2x+1[/tex]
Inputting the values of the point options in the above equation for the line implies that D is the answer since:
when x = 3: [tex]y=2(3)+1=7[/tex]
Use the graph to solve the system of equations.
Answer:
the first answer option (3, 0)
Step-by-step explanation:
the solution is always the crossing point between the lines.
and that is clearly shown to be (3, 0)
Percy is shopping online and finds a great deal on bookcases. Percy pays $27 for a bookcase that originally sold for $36. What is the discount percentage? Write your answer using a percent sign (%).
HELP
Answer:
The answer is $84
Step-by-step explanation:
A storage container shaped as a rectangular prism can hold 896 wooden cube blocks with edge lengths of 14 ft.
What is the volume of the container?
Enter your answer in the box.
pls helppppp ASAP!
Answer:
224
Step-by-step explanation:
The other person is my twin and thats right cause we were on the sam quiz
The volume of the container is 2,452,864 cubic feet.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The volume of a rectangular prism can be found by multiplying the length, width, and height of the prism.
We know that the container can hold 896 wooden cube blocks, each with an edge length of 14 ft.
This means that the total volume of the wooden blocks is:
V(block) = (14 ft)³ = 2,744 ft^3
To find the volume of the container, we need to divide the total volume of the wooden blocks by the number of blocks that can fit in the container.
We are told that the container can hold 896 wooden blocks, so we can set up the following equation:
V(container) / V(block) = 896
Solving for V(container):
V(container) = V(block) x 896
V(container) = 2,744 ft³ x 896
V(container) = 2,452,864 ft³
Therefore,
The volume of the container is 2,452,864 cubic feet.
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What is the mode???? Thank you math experts I will mark brainliest
Answer:
median: 51
mode: 51
Explanation:
given:
43, 55, 51, 62, 64, 38, 35, 45, 51
arrange them in increasing order:
35, 38, 43, 45, 51, 51, 55, 62, 64
now find median, the number which is at the middle:
51 is the median
now find the mode, the number which appears most times:
51 is the mode
Answer:
C
Step-by-step explanation:
I also see median right there which that would also be C(51)
The mode is C(51) because the mode is the number that appears the most and as you see 51 appears 2 while no other number appears twice.
Hope this helps have a great day:)
Please help me with this thank you so much
Answers:
5) A.) 26 and 6) D.) 30
Step-by-step explanations:
Question 5)
For this question, we need to analyze the graph given and look at how many people scored 601 or above on the math portion. So, looking at the answers given we aren't going to have a smaller number of only 16 or 10, since they are both equal to or higher than 601. So, we need to add the amount of students that scored the 601 or higher amount.
16 + 10 = 26.
This answer matches up with the answer given of A).
Question 6)
For this question, it is similar except you don't add the numbers given. Instead, the question is asking for a specific amount given. So, looking at the answers given, yes 18 and 6 did score below 500, but the question asked "...scored 500 or below?" This is a specific question telling us about the 500 or below, which is in one column. As shown in the graph, 30 students scored this specific amount, which gives us our answer of D).
I hope that this helps.