Answers
The value of (5 - 6b)² when it is expanded is 25 -60b + 36b² (third option).
What is the equivalent value?The square of a number is the value derived when a number is multiplied by itself. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.
The square of a number is denoted by the power 2. For example, the square of 2, 2² is 4 (2 x 2).
Thus, (5 - 6b)² is the same as (5 - 6b) x (5 - 6b).
When multiplied, the expression becomes:
(5 - 6b) x (5 - 6b)
When multiplied, the expression becomes: 25 - 30b - 30b + 36b²
Add similar terms together: 25 -60b + 36b²
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Related Questions
fill in the missing field to complete the program. determine the number of elements in the list that are divisible by 10. (hint: the number x is divisible by 10 if x % 10 is 0.) div ten
Answers
The number of elements in the list that are divisible by 10 is 10, 20, 30, 1000, 5000, 60000, etc.
Given:
the number of elements in the list that are divisible by 10. (hint: the number x is divisible by 10 if x % 10 is 0.) div ten
The number is divisible by 10 and the last digit is zero.
suppose take 10:
= 10/10 = 1
It is divisible.
= 10%10
The last digit or remainder is zero.
Therefore the number of elements in the list that are divisible by 10 is 10, 20, 30, 1000, 5000, 60000, etc.
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indicate the answer choice that best completes the statement or answers the question. 1. how many different samples of size 3 (without replacement) can be taken from a finite population of size 10? a. 30 b. 1,000 c. 720 d. 120
Answers
The correct option is option (d).
Using Combination,
Total 120, different samples of size 3 (without replacement) can be taken from a finite population of size 10.
Population size: The population is the entire group of guesses. A sample is a specific group for which you collect data. It is denoted by N.
Sample Size: The sample size is always smaller than the total size of the population. A sample is a subset of the population set. It is denoted by n.
we have given that , n = 3 and N = 10
Using the following formula for calculating the possible number of different samples of size 3 (without replacement) can be taken from a finite population of size 10.
Number of possible different samples of size n from Population size N = NCn = N!/n! (N-n)!
then we have, 10C3 = 10!/3! × 7!
=> 10×9×8/3×2 = 15×8 = 120
Hence, 120 different samples of size 3 (without replacement) is possible from Population of size 10.
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Evaluate the expression if a=−12, b=34, and c=−23.
−||6c−16b||+1
Answers
The value of the expression − || 6c − 16b || + 1 if a = −12, b = 34, and c = −23 is - 681.
We that the modulus always gives a positive quantity.
For example: || -5 || = 5, etc.
We are given;
a = −12, b = 34, and c = −23.
We need to find − || 6c − 16b || + 1.
The solution of an algebraic expression is obtained by substituting the given values in the expression.
Substitute the given value in the above expression, we will get;
− || 6c − 16b || + 1
= − || 6 * -23 − 16 * 34 || + 1
= − || - 138 − 544 || + 1
= − || - 682 || + 1
= − 682 + 1
= - 681
So, the value of − || 6c − 16b || + 1 is - 681.
Thus, the value of the expression − || 6c − 16b || + 1 if a = −12, b = 34, and c = −23 is - 681.
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Decribe and correct the error in fining the um 2 5/6(-8/15)=12/6(-8/15)=65(-16)/30=49/30=1 19/30
Answers
Error free in finding the sum of 2 is 9/30
we need to correct the error and find the sum of 2
= [tex]\frac{5}{6}[/tex] + ([tex]\frac{-8}{15}[/tex])
let's find the l.c.m of both
LCM stands for 'Least Common Multiple'. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers. It can be calculated for two or more numbers as well. There are different methods to find the LCM of a given set of numbers. One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers.
= 25 -16 / 30
= 9/30
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There's nothing here
Answers
the picture is my question
Answers
Answer:
[tex] \rm \implies \frac{1}{3} (5x - 8) + \frac{2}{3} x \\ \\ \rm \implies \frac{5}{3} x - \frac{8}{3} + \frac{2}{3} x \\ \\ \rm \implies \frac{5x + 2x}{3} - \frac{8}{3} \\ \\ \rm \implies \frac{7x}{3} - \frac{8}{3} \\ \\ \rm \implies 2 \frac{1}{3} x - 2 \frac{2}{3} [/tex]
if the same number is added to both numerator and denominator of the fraction 3/5. the result is 2/3 what is the number?
Answers
Answer:
2
Step-by-step explanation:
1. Evaluate-[34+ (-16)-12].
a. 16
b. -16
C.-6
Answers
16
Step-by-step explanation:
[34-16-12]
[18-12]
16
If a fair die is rolled 6 times what is the probability rounded to the nearest thousandth of getting at least 5 fours?
Answers
To get 1 four, probability is 1/6
To get 2 fours, probability is (1/6)^2
So
To get 5 fours, probability is (1/6)^5 = 0.0001286
PLEASE HELP ASAP FOR 30 POINTS! !!!! Two Pony Express riders each rode part of a 336-mile trip. Each rider rode the same number of miles. They changed horses every 12 miles. How many horses did each rider use?
Answers
Answer:
28 horses
Step-by-step explanation:
336/12=28
because every 12 miles they change the horse.
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p = -0.5x^2 + 36x -113 models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $409?
Answers
The smallest amount that can be charged per box of seeds to make a profit of $409 is $20.125
What is a profit?A profit is the financial gain from a business transaction when the revenue from the transaction exceeds the expenses and taxes.
The function for the profit from the fund raiser is; p = -0.5·x² + 36·x - 113
When the profit is $409, we have;
p = 409 = -0.5·x² + 36·x - 113
-0.5·x² + 36·x - 113 = 409
-0.5·x² + 36·x - 522 = 0
The solutions of the above quadratic function, found using the quadratic formula are as follows;
x = (-36 ± √(36² - 4×(-0.5)×(-522)))/(2×(-0.5))
From which we have;
x = (-36 + √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 20.125
x = (-36 - √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 51.875
Therefore, when the profit is $409, the amount charged are x ≈ 51.875 or x ≈ 20.125
The smallest amount charged when the profit is $409 is therefore;
x ≈ $20.125
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For each value of X, determine wether it is a solution to
Answers
The solutions of -1 + 3x ≥ 14 are 5 and 8.
Linear Inequality:A linear inequality is a Mathematical expression that represents that both sides are not equal. In simple words, we can say that If the relationship makes a non-equal comparison between any two numbers or expressions, then it is known as Linear inequality.
Here we have
-1 + 3x ≥ 14
To determine the solutions of a given linear inequality substitute each value of x and check if the value satisfies the given expression
At x = 5 ⇒ -1 + 3(5) ≥ 14
⇒ -1 + 15 ≥ 14
⇒ 14 ≥ 14
∴ x = 5 is a solution to -1 + 3x ≥ 14
At x = 8 ⇒ -1 + 3(8) ≥ 14
⇒ -1 + 24 ≥ 14
⇒ 23 ≥ 14
∴ x = 8 is a solution to -1 + 3x ≥ 14
At x = -4 ⇒ -1 + 3(-4) ≥ 14
⇒ -1 - 12 ≥ 14
⇒ - 13 ≥ 14 [ which is not true ]
∴ x = - 4 is not a solution to -1 + 3x ≥ 14
At x = 2 ⇒ -1 + 3(2) ≥ 14
⇒ -1 + 6 ≥ 14
⇒ 5 ≥ 14 [ which is not true ]
∴ x = 2 is a solution to -1 + 3x ≥ 14
Therefore,
The solutions of -1 + 3x ≥ 14 are 5 and 8
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What is five and eight hundreds in standard form
Answers
Answer:5.08
Step-by-step explanation:
Multiply. Simplify the answer and write as a whole number.
7 1/2-1 1/5
Answers
The answer is in the form of whole number is 6 .
Given,
In the question:
The number is given as:
= [tex]7\frac{1}{2} - 1\frac{1}{2}[/tex]
Now, According to the question:
= [tex]7\frac{1}{2} - 1\frac{1}{2}[/tex]
Convert to fraction into mixed fraction:
= 15/2 - 3/2
Calculate the sum or difference:
= 12/2
Cross out the common factor:
= 6
Hence, The answer is in the form of whole number is 6 .
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Does this figure have symmetry?
Answers
Answer:
Yes, because if you fold it in half, both halves match up.
Step-by-step explanation:
You can fold the figure in half along the x-axis to get a "D" shape
Write an equation in slope-intercept form for the line that passes through (9, 12) and is perpendicular to y=4
Answers
Answer:
[tex]x=9[/tex]
Step-by-step explanation:
First, let's determine the slope! We know that the line is perpendicular to [tex]y=4[/tex]. This line is just a horizontal line that crosses the y-axis with a slope of 0. The line perpendicular to this will have the form [tex]x=?[/tex]. This is a straight, vertical line with indeterminate slope.
The line passes through the point (9, 12). If the line is going straight up and down, it will intercept every y-value, but only one x-value. The x-value in this ordered pair is 9. Therefore, the equation of the line is [tex]x=9[/tex].
Can you help me because I don’t really understand what do you mean you know I just won the answer it or give me the answer
Answers
Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
*
1 point
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
Answers
The true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 * 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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A canoe rental service charges a $20 transportation fee and $30 dollars an hour to
rent a canoe. Write and graph an equation representing the cost, y, of renting a
canoe for × hours.
Answers
The equation representing the cost of the canoe rental company is given by y = 30x + 20 .
Let the total cost for renting a canoe be y.
Let the canoe is being rent for x hours.
now the cost for renting the canoe at 30 dollars per hour = 30x
Total cost of renting the canoe = 30x + 20
But the total cost is y.
Hence the equation to represent this situation is given by
y = 30x + 20 which is a straight line of the form y = mx +c, where the slope is 30 and the y-intercept is 20.
Now we will plot the graph for this equation.
At x = 0 , y = 20
At x = 1 , y = 50
At x= -3 , y = -70
Hence the graph of the line passes through these points on the cartesian plane.
The graph of the line is attached below.
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from a group of 10 people, a committee of 5 is to be formed. the committee consists of a chair, a secretary and 3 regular members. (a) how many dierent committees are possible?
Answers
The number of ways of selecting a committees of 5 members from a group of 10 people will be 252
Combination is a method to calculate different ways to select items from a set / group regardless of the order.
ⁿCₓ = n! / (n-x)! x!
Total number of people in group is 10
Number of people require to form committee is 5
By using Combination ,
¹⁰C₅ = 10! / (10 - 5 )! 5!
= 10×9×8×7×6×5! / 5! × 5!
Cancelling 5! from numerator and denominator
= 10×9×8×7×6 / 5!
expanding the factorial
= 10×9×8×7×6 / 5×4×3×2×1
= 252
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An infant drinks about 26 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks?
Answers
Answer:
Expert-Verified Answer
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Answer: 19.25 quarts of milk the baby drink in 4 weeks.
We know 1 week = 7 days
So, 4 weeks = 4*7 = 28 days.
In 1 day baby drinks = 22 ounce
In 28 days baby drinks = 28*22 = 616 ounce.
1 quarts = 32 ounces.
So, 616 ounce = 616/32 = 19.25 quarts.
Answer:22.75
Step-by-step explanation: 26 x 7 x 4 = 728 ounces in 4 weeks
theres 32 ounces in a quart
so 728 over 32 will equal 22.75
Kareem Abdul-Jabbar is the all-time leader in points scored in professional
basketball. He averaged 1,919.35 points scored each season. About how many points
did Kareem score during his twenty-year career?
Answers
Kareem Abdul-Jabbar scored a total of 38387 point in his career
MultiplicationIn math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.
To find the number of points he had in his total career, we just need to multiply his points per season with the total number of years he spent play game.
This becomes 1919.35 * 20 = 38387 points
He had a total of 38387 points all time in his career
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-(x - 2) - 2(x - 1) = 8
Answers
-(x)-(-2)-2(x)-2(-1)=8
-x+2-2x+2=8
-x-2x+2+2=8
-3x+4=8
-3x=8-4
-3x=4
[tex]\frac{-3x}{-3} =\frac{4}{-3} \\x=-\frac{4}{3}[/tex]
The shape below is made of two rectangles joined together. 5 cm 9 cm 8 cm 5 cm Find the total area of the shape. Optional working Answer: cm²
Answers
Answer:
length × width
5×9=45cm²
45cm²×2=90cm²
Tthe total area of the shape is 85 cm².
How to solve for the areaRectangle 1:
Length = 9 cm
Width = 5 cm
Area of Rectangle 1 = Length * Width
= 9 cm * 5 cm
= 45 cm²
Rectangle 2:
Length = 8 cm
Width = 5 cm
Area of Rectangle 2 = Length * Width = 8 cm * 5 cm = 40 cm²
Total area of the shape
= Area of Rectangle 1 + Area of Rectangle 2 = 45 cm² + 40 cm²
= 85 cm²
Therefore, the total area of the shape is 85 cm².
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Which ordered pair is a solution of the linear equation system
x + 4y = 18 and -3x + 2y = 16?
F. ( -2,-5)
G. (-2, 5)
H. (2, 5)
I. (2, -5)
Answers
Answer:
G is correct.
Step-by-step explanation:
[tex] - 2 + 4(5) = - 2 + 20 = 18[/tex]
[tex] - 3( - 2) + 2(5) = 6 + 10 = 16[/tex]
So G (-2, 5) is correct.
what is the volume of the following rectangular prism? 1 1/3 units 4 1/2 units2
Answers
To find the volume you need to multiply the area of the base times the height.
if f(x) = -6x - 2. find f (-3)
Answers
Answer:
f(- 3) = 16
Step-by-step explanation:
substitute x = - 3 into f(x) , that is
f(- 3) = - 6(- 3) - 2 = 18 - 2 = 16
with explanation if possible .
part a and b.
Answers
The coordinates on the x-axis (the x-intercepts) and y-axis (the y-intercepts) are;
(a) (i) The point, A = (6, 0)
(ii) The point B = (0, 6)
(b) The point A = (4, 0)
The point B = (0, 3)
What are the x and y-intercepts of a graph?The x and y-intercepts are the points at which the graph intersects the x-axis and the y-axis respectively. The coordinates of the points are (x, 0) and (0, y) respectively.
(a) (i) The equation of the line of the graph is; x + y = 6
The x-intercept of the line is at point A
The y-intercept of the line is at point B
At the x-intercept, the y-coordinate is 0, from the equation, x + y = 6, when y = 0, we get;
x + y = 6
x + 0 = 6
x = 6
The coordinate of the x-intercept, A = (6, 0)
(ii) The y-coordinate of the y-intercept is the value c of the equation of the line y = m·x + c
The x-coordinate at the y-intercept is 0
Rearranging the equation, x + y = 6, we get;
y = -x + 6
The y-coordinate at the y-intercept is therefore, c = 6
The point B is therefore; (0, 6)
(b) (i) The equation of the line is 4·y + 3·x = 12
The equation can be rearranged so that we get;
4·y + 3·x = 12
4·y = 12 - 3·x
y = (12 - 3·x) ÷ 4 = 3 - (3/4)·x
y = 3 - (3/4)·x
At the x-intercept, the value of y is 0. Plugging in y = 0 in the equation, y = 3 - (3/4)·x, we get;
0 = 3 - (3/4)·x
3 = (3/4)·x
x = 3 ÷ (3/4) = 4
x = 4,
y = 0 and x = 4, therefore the coordinate of the point A is (4, 0)
(ii) The y-intercept is point B
The x-value at the y-intercept is 0
Plugging the value x = 0 in the equation y = 3 - (3/4)·x, we get;
y = 3 - (3/4)× 0 = 3
x = 0 and y = 3
The coordinate of the point B is (0, 3)
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a couple has 3 children. they sit in 5 adjacent seats in the same row while watching a movie. if the mother must sit in between the two youngest children, how many seating arrangements are possible?
Answers
Answer: well about 3
Step-by-step explanation:
father(youngest)mom(middle child)oldest
oldest(youngest)mom(middle child)father
father(middle child)mom(youngest)oldest
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what happens to the width of two-sided confidence interval as each of these attributes changes? - the confidence level increases - the sample size increases a. increases b. decreases
Answers
The width of two-sided confidence interval decreases as the sample size increases and increases as the confidence level increases.
Confidence interval : In Statistic, confidence interval is a range of estimates for unknown parameters.
The formula for the interval can be expressed as:
Confidence Interval (CI ) = X bar +_ Z( S/√n)
Where,
X bar ---> the sample mean
S ---> the sample standard deviation
n --> the sample size Z---> Z-value which comes from normal distribution
From the formula we can conclude the below points about confidence interval :
The increases in confidence level leds to increase the width of the confidence interval also. A larger confidence level means the interval is larger. the width of confidence interval varies inversely to sample size i.e increase in sample size implies decrese in width of confidence interval. .Confidence interval increases with increase of sample standard deviationsSo, Confidence interval varies with sample mean, confidence level and standard deviations.
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